Experiment Tracking: Coloring Multiple Runs#

This example demostrates how to use opt-sugar in combination with mlflow for single objective optimization experiment tracking

https://mybinder.org/badge_logo.svg
# sphinx_gallery_thumbnail_path = '_static/coloring_experiment.png'
import datetime
from urllib.parse import urlparse
from itertools import product
import logging
import random

import gurobipy as gp
import mlflow
from mlflow.exceptions import MlflowException

# import sys; sys.path.append('/Users/Juan.ChaconLeon/opt/opt-sugar/src')  # when running locally
from opt_sugar import low_sugar

# The generate_graph_data generates random graphs given a graph size and an edge probability.
from utils.coloring import generate_graph_data

# TODO: reformat this example similar to
#  https://github.com/scikit-learn/scikit-learn/blob/main/examples/calibration/plot_calibration_multiclass.py

# ..NOTE:: check the coloring example first to see how the model was formulated.

from utils.coloring import ColoringModelBuilder

Tracking an Optimization Experiment#

Add description here.

logging.getLogger("mlflow").setLevel(logging.CRITICAL)  # Can be set DEBUG



def get_build(mip_focus):
    def build(data):
        # Create a new model
        m = gp.Model("coloring")
        model_builder = ColoringModelBuilder(data)
        model_builder.build_variables(m)
        model_builder.build_constraints(m)
        model_builder.build_objective(m)
        # setting parameters
        m.setParam('MIPFocus', mip_focus)
        m.setParam('Method', 4)  # for deterministic concurrent runs
        return m
    return build


def callback(m):
    objective = m.getObjective()
    color_count = objective.getValue()
    callback_result = {"color_count": color_count, "MIPFocus": m.getParamInfo('MIPFocus')[2], "RunTime": m.RunTime}
    return callback_result

MIPFocus effect Over Runtime Case 1: Same data multiple runs#

Add description here.

# Let's first set the random seed for reproducible results
random.seed(42)

try:
    experiment_name = f"coloring_experiment_1_{datetime.datetime.now().strftime('%Y_%m_%d')}"
    experiment_id = mlflow.create_experiment(name=experiment_name)
except MlflowException:
    experiment_id = mlflow.get_experiment_by_name(name=experiment_name).experiment_id

# Generating a graph instance
data = generate_graph_data(node_count=15, edge_probability=0.5)

# Building
for mip_focus, _ in product([0, 1, 2, 3], range(25)):
    with mlflow.start_run(experiment_id=experiment_id):
        build = get_build(mip_focus)
        opt_model = low_sugar.Model(build)
        result = opt_model.optimize(data=data, callback=callback)

        # Note: Above is replacement for opt_model.fit(data, fit_callback) and opt_model.predict(data)
        mlflow.log_param("MIPFocus", result["callback_result"]["MIPFocus"])
        mlflow.log_metric("RunTime", result["callback_result"]["RunTime"])
        mlflow.log_metric("color_count", result["callback_result"]["color_count"])

        tracking_url_type_store = urlparse(mlflow.get_tracking_uri()).scheme
        print(f"tracking_url_type_store: {tracking_url_type_store}")
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.69932    0   45    5.00000    1.69932  66.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (761 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.69932    0   45    5.00000    1.69932  66.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (761 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.69932    0   45    5.00000    1.69932  66.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (761 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.69932    0   45    5.00000    1.69932  66.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (761 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.69932    0   45    5.00000    1.69932  66.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (761 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.69932    0   45    5.00000    1.69932  66.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (761 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.69932    0   45    5.00000    1.69932  66.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (761 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.69932    0   45    5.00000    1.69932  66.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (761 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.69932    0   45    5.00000    1.69932  66.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (761 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.69932    0   45    5.00000    1.69932  66.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (761 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.69932    0   45    5.00000    1.69932  66.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (761 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.69932    0   45    5.00000    1.69932  66.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (761 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.69932    0   45    5.00000    1.69932  66.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (761 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.69932    0   45    5.00000    1.69932  66.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (761 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.69932    0   45    5.00000    1.69932  66.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (761 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.69932    0   45    5.00000    1.69932  66.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (761 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.69932    0   45    5.00000    1.69932  66.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (761 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.69932    0   45    5.00000    1.69932  66.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (761 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.69932    0   45    5.00000    1.69932  66.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (761 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.69932    0   45    5.00000    1.69932  66.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (761 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.69932    0   45    5.00000    1.69932  66.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (761 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.69932    0   45    5.00000    1.69932  66.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (761 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.69932    0   45    5.00000    1.69932  66.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (761 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.69932    0   45    5.00000    1.69932  66.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (761 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.69932    0   45    5.00000    1.69932  66.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (761 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.50086    0   50    5.00000    1.50086  70.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (719 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.50086    0   50    5.00000    1.50086  70.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (719 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.01s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.50086    0   50    5.00000    1.50086  70.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (719 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.50086    0   50    5.00000    1.50086  70.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (719 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.50086    0   50    5.00000    1.50086  70.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (719 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.50086    0   50    5.00000    1.50086  70.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (719 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.50086    0   50    5.00000    1.50086  70.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (719 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.50086    0   50    5.00000    1.50086  70.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (719 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.01s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.50086    0   50    5.00000    1.50086  70.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (719 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.50086    0   50    5.00000    1.50086  70.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (719 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.50086    0   50    5.00000    1.50086  70.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (719 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.50086    0   50    5.00000    1.50086  70.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (719 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.50086    0   50    5.00000    1.50086  70.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (719 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.50086    0   50    5.00000    1.50086  70.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (719 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.50086    0   50    5.00000    1.50086  70.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (719 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.50086    0   50    5.00000    1.50086  70.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (719 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.50086    0   50    5.00000    1.50086  70.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (719 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.50086    0   50    5.00000    1.50086  70.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (719 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.50086    0   50    5.00000    1.50086  70.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (719 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.50086    0   50    5.00000    1.50086  70.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (719 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.50086    0   50    5.00000    1.50086  70.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (719 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.50086    0   50    5.00000    1.50086  70.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (719 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.50086    0   50    5.00000    1.50086  70.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (719 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.50086    0   50    5.00000    1.50086  70.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (719 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 868 rows and 0 columns
Presolve time: 0.00s
Presolved: 272 rows, 136 columns, 907 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   69    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.50086    0   50    5.00000    1.50086  70.0%     -    0s
     0     0    3.00000    0   10    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0   10    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (719 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 20
  Implied bound: 14
  Projected implied bound: 7
  Clique: 1
  MIR: 8
  StrongCG: 1
  Flow cover: 1
  Zero half: 24
  RLT: 5
  Relax-and-lift: 6

Explored 1 nodes (526 simplex iterations) in 0.02 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 20
  Implied bound: 14
  Projected implied bound: 7
  Clique: 1
  MIR: 8
  StrongCG: 1
  Flow cover: 1
  Zero half: 24
  RLT: 5
  Relax-and-lift: 6

Explored 1 nodes (526 simplex iterations) in 0.02 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 20
  Implied bound: 14
  Projected implied bound: 7
  Clique: 1
  MIR: 8
  StrongCG: 1
  Flow cover: 1
  Zero half: 24
  RLT: 5
  Relax-and-lift: 6

Explored 1 nodes (526 simplex iterations) in 0.02 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 20
  Implied bound: 14
  Projected implied bound: 7
  Clique: 1
  MIR: 8
  StrongCG: 1
  Flow cover: 1
  Zero half: 24
  RLT: 5
  Relax-and-lift: 6

Explored 1 nodes (526 simplex iterations) in 0.02 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 20
  Implied bound: 14
  Projected implied bound: 7
  Clique: 1
  MIR: 8
  StrongCG: 1
  Flow cover: 1
  Zero half: 24
  RLT: 5
  Relax-and-lift: 6

Explored 1 nodes (526 simplex iterations) in 0.02 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 20
  Implied bound: 14
  Projected implied bound: 7
  Clique: 1
  MIR: 8
  StrongCG: 1
  Flow cover: 1
  Zero half: 24
  RLT: 5
  Relax-and-lift: 6

Explored 1 nodes (526 simplex iterations) in 0.02 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 20
  Implied bound: 14
  Projected implied bound: 7
  Clique: 1
  MIR: 8
  StrongCG: 1
  Flow cover: 1
  Zero half: 24
  RLT: 5
  Relax-and-lift: 6

Explored 1 nodes (526 simplex iterations) in 0.02 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 20
  Implied bound: 14
  Projected implied bound: 7
  Clique: 1
  MIR: 8
  StrongCG: 1
  Flow cover: 1
  Zero half: 24
  RLT: 5
  Relax-and-lift: 6

Explored 1 nodes (526 simplex iterations) in 0.02 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 20
  Implied bound: 14
  Projected implied bound: 7
  Clique: 1
  MIR: 8
  StrongCG: 1
  Flow cover: 1
  Zero half: 24
  RLT: 5
  Relax-and-lift: 6

Explored 1 nodes (526 simplex iterations) in 0.02 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 20
  Implied bound: 14
  Projected implied bound: 7
  Clique: 1
  MIR: 8
  StrongCG: 1
  Flow cover: 1
  Zero half: 24
  RLT: 5
  Relax-and-lift: 6

Explored 1 nodes (526 simplex iterations) in 0.02 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 20
  Implied bound: 14
  Projected implied bound: 7
  Clique: 1
  MIR: 8
  StrongCG: 1
  Flow cover: 1
  Zero half: 24
  RLT: 5
  Relax-and-lift: 6

Explored 1 nodes (526 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 20
  Implied bound: 14
  Projected implied bound: 7
  Clique: 1
  MIR: 8
  StrongCG: 1
  Flow cover: 1
  Zero half: 24
  RLT: 5
  Relax-and-lift: 6

Explored 1 nodes (526 simplex iterations) in 0.02 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 20
  Implied bound: 14
  Projected implied bound: 7
  Clique: 1
  MIR: 8
  StrongCG: 1
  Flow cover: 1
  Zero half: 24
  RLT: 5
  Relax-and-lift: 6

Explored 1 nodes (526 simplex iterations) in 0.02 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 20
  Implied bound: 14
  Projected implied bound: 7
  Clique: 1
  MIR: 8
  StrongCG: 1
  Flow cover: 1
  Zero half: 24
  RLT: 5
  Relax-and-lift: 6

Explored 1 nodes (526 simplex iterations) in 0.02 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 20
  Implied bound: 14
  Projected implied bound: 7
  Clique: 1
  MIR: 8
  StrongCG: 1
  Flow cover: 1
  Zero half: 24
  RLT: 5
  Relax-and-lift: 6

Explored 1 nodes (526 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 20
  Implied bound: 14
  Projected implied bound: 7
  Clique: 1
  MIR: 8
  StrongCG: 1
  Flow cover: 1
  Zero half: 24
  RLT: 5
  Relax-and-lift: 6

Explored 1 nodes (526 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 20
  Implied bound: 14
  Projected implied bound: 7
  Clique: 1
  MIR: 8
  StrongCG: 1
  Flow cover: 1
  Zero half: 24
  RLT: 5
  Relax-and-lift: 6

Explored 1 nodes (526 simplex iterations) in 0.02 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 20
  Implied bound: 14
  Projected implied bound: 7
  Clique: 1
  MIR: 8
  StrongCG: 1
  Flow cover: 1
  Zero half: 24
  RLT: 5
  Relax-and-lift: 6

Explored 1 nodes (526 simplex iterations) in 0.02 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 20
  Implied bound: 14
  Projected implied bound: 7
  Clique: 1
  MIR: 8
  StrongCG: 1
  Flow cover: 1
  Zero half: 24
  RLT: 5
  Relax-and-lift: 6

Explored 1 nodes (526 simplex iterations) in 0.02 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 20
  Implied bound: 14
  Projected implied bound: 7
  Clique: 1
  MIR: 8
  StrongCG: 1
  Flow cover: 1
  Zero half: 24
  RLT: 5
  Relax-and-lift: 6

Explored 1 nodes (526 simplex iterations) in 0.02 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 20
  Implied bound: 14
  Projected implied bound: 7
  Clique: 1
  MIR: 8
  StrongCG: 1
  Flow cover: 1
  Zero half: 24
  RLT: 5
  Relax-and-lift: 6

Explored 1 nodes (526 simplex iterations) in 0.02 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 20
  Implied bound: 14
  Projected implied bound: 7
  Clique: 1
  MIR: 8
  StrongCG: 1
  Flow cover: 1
  Zero half: 24
  RLT: 5
  Relax-and-lift: 6

Explored 1 nodes (526 simplex iterations) in 0.02 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 20
  Implied bound: 14
  Projected implied bound: 7
  Clique: 1
  MIR: 8
  StrongCG: 1
  Flow cover: 1
  Zero half: 24
  RLT: 5
  Relax-and-lift: 6

Explored 1 nodes (526 simplex iterations) in 0.02 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 20
  Implied bound: 14
  Projected implied bound: 7
  Clique: 1
  MIR: 8
  StrongCG: 1
  Flow cover: 1
  Zero half: 24
  RLT: 5
  Relax-and-lift: 6

Explored 1 nodes (526 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 20
  Implied bound: 14
  Projected implied bound: 7
  Clique: 1
  MIR: 8
  StrongCG: 1
  Flow cover: 1
  Zero half: 24
  RLT: 5
  Relax-and-lift: 6

Explored 1 nodes (526 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 25
  Lift-and-project: 13
  Implied bound: 10
  Projected implied bound: 17
  Clique: 1
  MIR: 3
  Flow cover: 2
  Zero half: 26
  RLT: 5
  Relax-and-lift: 8

Explored 1 nodes (453 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 25
  Lift-and-project: 13
  Implied bound: 10
  Projected implied bound: 17
  Clique: 1
  MIR: 3
  Flow cover: 2
  Zero half: 26
  RLT: 5
  Relax-and-lift: 8

Explored 1 nodes (453 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 25
  Lift-and-project: 13
  Implied bound: 10
  Projected implied bound: 17
  Clique: 1
  MIR: 3
  Flow cover: 2
  Zero half: 26
  RLT: 5
  Relax-and-lift: 8

Explored 1 nodes (453 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 25
  Lift-and-project: 13
  Implied bound: 10
  Projected implied bound: 17
  Clique: 1
  MIR: 3
  Flow cover: 2
  Zero half: 26
  RLT: 5
  Relax-and-lift: 8

Explored 1 nodes (453 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 25
  Lift-and-project: 13
  Implied bound: 10
  Projected implied bound: 17
  Clique: 1
  MIR: 3
  Flow cover: 2
  Zero half: 26
  RLT: 5
  Relax-and-lift: 8

Explored 1 nodes (453 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 25
  Lift-and-project: 13
  Implied bound: 10
  Projected implied bound: 17
  Clique: 1
  MIR: 3
  Flow cover: 2
  Zero half: 26
  RLT: 5
  Relax-and-lift: 8

Explored 1 nodes (453 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 25
  Lift-and-project: 13
  Implied bound: 10
  Projected implied bound: 17
  Clique: 1
  MIR: 3
  Flow cover: 2
  Zero half: 26
  RLT: 5
  Relax-and-lift: 8

Explored 1 nodes (453 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 25
  Lift-and-project: 13
  Implied bound: 10
  Projected implied bound: 17
  Clique: 1
  MIR: 3
  Flow cover: 2
  Zero half: 26
  RLT: 5
  Relax-and-lift: 8

Explored 1 nodes (453 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 25
  Lift-and-project: 13
  Implied bound: 10
  Projected implied bound: 17
  Clique: 1
  MIR: 3
  Flow cover: 2
  Zero half: 26
  RLT: 5
  Relax-and-lift: 8

Explored 1 nodes (453 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 25
  Lift-and-project: 13
  Implied bound: 10
  Projected implied bound: 17
  Clique: 1
  MIR: 3
  Flow cover: 2
  Zero half: 26
  RLT: 5
  Relax-and-lift: 8

Explored 1 nodes (453 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 25
  Lift-and-project: 13
  Implied bound: 10
  Projected implied bound: 17
  Clique: 1
  MIR: 3
  Flow cover: 2
  Zero half: 26
  RLT: 5
  Relax-and-lift: 8

Explored 1 nodes (453 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 25
  Lift-and-project: 13
  Implied bound: 10
  Projected implied bound: 17
  Clique: 1
  MIR: 3
  Flow cover: 2
  Zero half: 26
  RLT: 5
  Relax-and-lift: 8

Explored 1 nodes (453 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 25
  Lift-and-project: 13
  Implied bound: 10
  Projected implied bound: 17
  Clique: 1
  MIR: 3
  Flow cover: 2
  Zero half: 26
  RLT: 5
  Relax-and-lift: 8

Explored 1 nodes (453 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 25
  Lift-and-project: 13
  Implied bound: 10
  Projected implied bound: 17
  Clique: 1
  MIR: 3
  Flow cover: 2
  Zero half: 26
  RLT: 5
  Relax-and-lift: 8

Explored 1 nodes (453 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 25
  Lift-and-project: 13
  Implied bound: 10
  Projected implied bound: 17
  Clique: 1
  MIR: 3
  Flow cover: 2
  Zero half: 26
  RLT: 5
  Relax-and-lift: 8

Explored 1 nodes (453 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 25
  Lift-and-project: 13
  Implied bound: 10
  Projected implied bound: 17
  Clique: 1
  MIR: 3
  Flow cover: 2
  Zero half: 26
  RLT: 5
  Relax-and-lift: 8

Explored 1 nodes (453 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 25
  Lift-and-project: 13
  Implied bound: 10
  Projected implied bound: 17
  Clique: 1
  MIR: 3
  Flow cover: 2
  Zero half: 26
  RLT: 5
  Relax-and-lift: 8

Explored 1 nodes (453 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 25
  Lift-and-project: 13
  Implied bound: 10
  Projected implied bound: 17
  Clique: 1
  MIR: 3
  Flow cover: 2
  Zero half: 26
  RLT: 5
  Relax-and-lift: 8

Explored 1 nodes (453 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 25
  Lift-and-project: 13
  Implied bound: 10
  Projected implied bound: 17
  Clique: 1
  MIR: 3
  Flow cover: 2
  Zero half: 26
  RLT: 5
  Relax-and-lift: 8

Explored 1 nodes (453 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 25
  Lift-and-project: 13
  Implied bound: 10
  Projected implied bound: 17
  Clique: 1
  MIR: 3
  Flow cover: 2
  Zero half: 26
  RLT: 5
  Relax-and-lift: 8

Explored 1 nodes (453 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 25
  Lift-and-project: 13
  Implied bound: 10
  Projected implied bound: 17
  Clique: 1
  MIR: 3
  Flow cover: 2
  Zero half: 26
  RLT: 5
  Relax-and-lift: 8

Explored 1 nodes (453 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 25
  Lift-and-project: 13
  Implied bound: 10
  Projected implied bound: 17
  Clique: 1
  MIR: 3
  Flow cover: 2
  Zero half: 26
  RLT: 5
  Relax-and-lift: 8

Explored 1 nodes (453 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 25
  Lift-and-project: 13
  Implied bound: 10
  Projected implied bound: 17
  Clique: 1
  MIR: 3
  Flow cover: 2
  Zero half: 26
  RLT: 5
  Relax-and-lift: 8

Explored 1 nodes (453 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 25
  Lift-and-project: 13
  Implied bound: 10
  Projected implied bound: 17
  Clique: 1
  MIR: 3
  Flow cover: 2
  Zero half: 26
  RLT: 5
  Relax-and-lift: 8

Explored 1 nodes (453 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0xd3abf4ae
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 889 rows and 0 columns
Presolve time: 0.01s
Presolved: 251 rows, 136 columns, 886 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 226 rows, 121 columns, 788 nonzeros


Root relaxation: objective 1.000000e+00, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   40    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0          -    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 25
  Lift-and-project: 13
  Implied bound: 10
  Projected implied bound: 17
  Clique: 1
  MIR: 3
  Flow cover: 2
  Zero half: 26
  RLT: 5
  Relax-and-lift: 8

Explored 1 nodes (453 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file

MIPFocus effect Over Runtime Case 1: Different input data#

Add description here.

# Again Let's first set the random seed for reproducible results
random.seed(21)

try:
    experiment_name = f"coloring_experiment_2_{datetime.datetime.now().strftime('%Y_%m_%d')}"
    experiment_id = mlflow.create_experiment(name=experiment_name)
except MlflowException:
    experiment_id = mlflow.get_experiment_by_name(name=experiment_name).experiment_id

# Building
for mip_focus, data_i in product([0, 1, 2, 3], range(20)):

    data = generate_graph_data(node_count=15, edge_probability=0.5)

    for try_i in range(3):

        with mlflow.start_run(experiment_id=experiment_id):
            build = get_build(mip_focus)
            opt_model = low_sugar.Model(build)
            result = opt_model.optimize(data=data, callback=callback)

            # Note: Above is replacement for opt_model.fit(data, fit_callback) and opt_model.predict(data)
            mlflow.log_param("MIPFocus", result["callback_result"]["MIPFocus"])
            mlflow.log_metric("RunTime", result["callback_result"]["RunTime"])
            mlflow.log_metric("color_count", result["callback_result"]["color_count"])

            tracking_url_type_store = urlparse(mlflow.get_tracking_uri()).scheme
            print(f"tracking_url_type_store: {tracking_url_type_store}")
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1225 rows, 151 columns and 2555 nonzeros
Model fingerprint: 0xd9fbe38a
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 929 rows and 0 columns
Presolve time: 0.01s
Presolved: 296 rows, 151 columns, 1007 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 5.519054e-01, 145 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.55191    0   76    9.00000    0.55191  93.9%     -    0s
H    0     0                       7.0000000    0.55191  92.1%     -    0s
H    0     0                       6.0000000    0.55191  90.8%     -    0s
H    0     0                       5.0000000    0.55191  89.0%     -    0s
H    0     0                       4.0000000    0.55191  86.2%     -    0s
     0     0     cutoff    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 5
  Clique: 1
  Zero half: 10
  RLT: 13
  Relax-and-lift: 11

Explored 1 nodes (290 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 5: 4 5 6 ... 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1225 rows, 151 columns and 2555 nonzeros
Model fingerprint: 0xd9fbe38a
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 929 rows and 0 columns
Presolve time: 0.01s
Presolved: 296 rows, 151 columns, 1007 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 5.519054e-01, 145 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.55191    0   76    9.00000    0.55191  93.9%     -    0s
H    0     0                       7.0000000    0.55191  92.1%     -    0s
H    0     0                       6.0000000    0.55191  90.8%     -    0s
H    0     0                       5.0000000    0.55191  89.0%     -    0s
H    0     0                       4.0000000    0.55191  86.2%     -    0s
     0     0     cutoff    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 5
  Clique: 1
  Zero half: 10
  RLT: 13
  Relax-and-lift: 11

Explored 1 nodes (290 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 5: 4 5 6 ... 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1225 rows, 151 columns and 2555 nonzeros
Model fingerprint: 0xd9fbe38a
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 929 rows and 0 columns
Presolve time: 0.01s
Presolved: 296 rows, 151 columns, 1007 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 5.519054e-01, 145 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.55191    0   76    9.00000    0.55191  93.9%     -    0s
H    0     0                       7.0000000    0.55191  92.1%     -    0s
H    0     0                       6.0000000    0.55191  90.8%     -    0s
H    0     0                       5.0000000    0.55191  89.0%     -    0s
H    0     0                       4.0000000    0.55191  86.2%     -    0s
     0     0     cutoff    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 5
  Clique: 1
  Zero half: 10
  RLT: 13
  Relax-and-lift: 11

Explored 1 nodes (290 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 5: 4 5 6 ... 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1125 rows, 151 columns and 2355 nonzeros
Model fingerprint: 0x1c741c82
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 792 rows and 0 columns
Presolve time: 0.01s
Presolved: 333 rows, 151 columns, 1083 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 5.519054e-01, 151 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.55191    0   76    9.00000    0.55191  93.9%     -    0s
H    0     0                       4.0000000    0.55191  86.2%     -    0s
     0     0     cutoff    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 6
  MIR: 1
  Zero half: 9
  RLT: 14
  Relax-and-lift: 8

Explored 1 nodes (259 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 2: 4 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1125 rows, 151 columns and 2355 nonzeros
Model fingerprint: 0x1c741c82
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 792 rows and 0 columns
Presolve time: 0.01s
Presolved: 333 rows, 151 columns, 1083 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 5.519054e-01, 151 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.55191    0   76    9.00000    0.55191  93.9%     -    0s
H    0     0                       4.0000000    0.55191  86.2%     -    0s
     0     0     cutoff    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 6
  MIR: 1
  Zero half: 9
  RLT: 14
  Relax-and-lift: 8

Explored 1 nodes (259 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 2: 4 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1125 rows, 151 columns and 2355 nonzeros
Model fingerprint: 0x1c741c82
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 792 rows and 0 columns
Presolve time: 0.01s
Presolved: 333 rows, 151 columns, 1083 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 5.519054e-01, 151 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.55191    0   76    9.00000    0.55191  93.9%     -    0s
H    0     0                       4.0000000    0.55191  86.2%     -    0s
     0     0     cutoff    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 6
  MIR: 1
  Zero half: 9
  RLT: 14
  Relax-and-lift: 8

Explored 1 nodes (259 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 2: 4 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1165 rows, 151 columns and 2435 nonzeros
Model fingerprint: 0xf0b6dd68
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 867 rows and 0 columns
Presolve time: 0.01s
Presolved: 298 rows, 151 columns, 1005 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 3.537587e-01, 241 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.35376    0  103    9.00000    0.35376  96.1%     -    0s
H    0     0                       6.0000000    0.35376  94.1%     -    0s
H    0     0                       4.0000000    0.35376  91.2%     -    0s
     0     0    1.63636    0   41    4.00000    1.63636  59.1%     -    0s
     0     0    3.00000    0   14    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   40    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   20    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   26    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   37    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   18    4.00000    3.00000  25.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Clique: 3
  Zero half: 4

Explored 1 nodes (856 simplex iterations) in 0.05 seconds (0.03 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 6 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1165 rows, 151 columns and 2435 nonzeros
Model fingerprint: 0xf0b6dd68
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 867 rows and 0 columns
Presolve time: 0.01s
Presolved: 298 rows, 151 columns, 1005 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 3.537587e-01, 241 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.35376    0  103    9.00000    0.35376  96.1%     -    0s
H    0     0                       6.0000000    0.35376  94.1%     -    0s
H    0     0                       4.0000000    0.35376  91.2%     -    0s
     0     0    1.63636    0   41    4.00000    1.63636  59.1%     -    0s
     0     0    3.00000    0   14    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   40    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   20    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   26    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   37    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   18    4.00000    3.00000  25.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Clique: 3
  Zero half: 4

Explored 1 nodes (856 simplex iterations) in 0.05 seconds (0.03 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 6 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1165 rows, 151 columns and 2435 nonzeros
Model fingerprint: 0xf0b6dd68
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 867 rows and 0 columns
Presolve time: 0.01s
Presolved: 298 rows, 151 columns, 1005 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 3.537587e-01, 241 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.35376    0  103    9.00000    0.35376  96.1%     -    0s
H    0     0                       6.0000000    0.35376  94.1%     -    0s
H    0     0                       4.0000000    0.35376  91.2%     -    0s
     0     0    1.63636    0   41    4.00000    1.63636  59.1%     -    0s
     0     0    3.00000    0   14    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   40    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   20    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   26    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   37    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   18    4.00000    3.00000  25.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Clique: 3
  Zero half: 4

Explored 1 nodes (856 simplex iterations) in 0.05 seconds (0.03 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 6 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1456 rows, 166 columns and 3032 nonzeros
Model fingerprint: 0xfda44b42
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1137 rows and 0 columns
Presolve time: 0.01s
Presolved: 319 rows, 166 columns, 1113 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)

Root relaxation: objective 5.342662e-01, 149 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.53427    0   93   10.00000    0.53427  94.7%     -    0s
H    0     0                       5.0000000    0.53427  89.3%     -    0s
     0     0 infeasible    0         5.00000    5.00000  0.00%     -    0s

Cutting planes:
  Gomory: 12
  Zero half: 10
  RLT: 16
  Relax-and-lift: 13

Explored 1 nodes (365 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 2: 5 10

Optimal solution found (tolerance 1.00e-04)
Best objective 5.000000000000e+00, best bound 5.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1456 rows, 166 columns and 3032 nonzeros
Model fingerprint: 0xfda44b42
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1137 rows and 0 columns
Presolve time: 0.01s
Presolved: 319 rows, 166 columns, 1113 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)

Root relaxation: objective 5.342662e-01, 149 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.53427    0   93   10.00000    0.53427  94.7%     -    0s
H    0     0                       5.0000000    0.53427  89.3%     -    0s
     0     0 infeasible    0         5.00000    5.00000  0.00%     -    0s

Cutting planes:
  Gomory: 12
  Zero half: 10
  RLT: 16
  Relax-and-lift: 13

Explored 1 nodes (365 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 2: 5 10

Optimal solution found (tolerance 1.00e-04)
Best objective 5.000000000000e+00, best bound 5.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1456 rows, 166 columns and 3032 nonzeros
Model fingerprint: 0xfda44b42
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1137 rows and 0 columns
Presolve time: 0.01s
Presolved: 319 rows, 166 columns, 1113 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)

Root relaxation: objective 5.342662e-01, 149 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.53427    0   93   10.00000    0.53427  94.7%     -    0s
H    0     0                       5.0000000    0.53427  89.3%     -    0s
     0     0 infeasible    0         5.00000    5.00000  0.00%     -    0s

Cutting planes:
  Gomory: 12
  Zero half: 10
  RLT: 16
  Relax-and-lift: 13

Explored 1 nodes (365 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 2: 5 10

Optimal solution found (tolerance 1.00e-04)
Best objective 5.000000000000e+00, best bound 5.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 978 rows, 136 columns and 2046 nonzeros
Model fingerprint: 0x3f691ae8
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 671 rows and 0 columns
Presolve time: 0.00s
Presolved: 307 rows, 136 columns, 915 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.566600e-01, 134 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.55666    0   72    8.00000    0.55666  93.0%     -    0s
H    0     0                       5.0000000    0.55666  88.9%     -    0s
H    0     0                       4.0000000    0.55666  86.1%     -    0s
H    0     0                       3.0000000    0.55666  81.4%     -    0s
     0     0 infeasible    0         3.00000    3.00000  0.00%     -    0s

Cutting planes:
  Clique: 3
  MIR: 1
  Zero half: 9
  RLT: 18
  Relax-and-lift: 1

Explored 1 nodes (270 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 3 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 3.000000000000e+00, best bound 3.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 978 rows, 136 columns and 2046 nonzeros
Model fingerprint: 0x3f691ae8
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 671 rows and 0 columns
Presolve time: 0.00s
Presolved: 307 rows, 136 columns, 915 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.566600e-01, 134 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.55666    0   72    8.00000    0.55666  93.0%     -    0s
H    0     0                       5.0000000    0.55666  88.9%     -    0s
H    0     0                       4.0000000    0.55666  86.1%     -    0s
H    0     0                       3.0000000    0.55666  81.4%     -    0s
     0     0 infeasible    0         3.00000    3.00000  0.00%     -    0s

Cutting planes:
  Clique: 3
  MIR: 1
  Zero half: 9
  RLT: 18
  Relax-and-lift: 1

Explored 1 nodes (270 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 3 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 3.000000000000e+00, best bound 3.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 978 rows, 136 columns and 2046 nonzeros
Model fingerprint: 0x3f691ae8
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 671 rows and 0 columns
Presolve time: 0.00s
Presolved: 307 rows, 136 columns, 915 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.566600e-01, 134 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.55666    0   72    8.00000    0.55666  93.0%     -    0s
H    0     0                       5.0000000    0.55666  88.9%     -    0s
H    0     0                       4.0000000    0.55666  86.1%     -    0s
H    0     0                       3.0000000    0.55666  81.4%     -    0s
     0     0 infeasible    0         3.00000    3.00000  0.00%     -    0s

Cutting planes:
  Clique: 3
  MIR: 1
  Zero half: 9
  RLT: 18
  Relax-and-lift: 1

Explored 1 nodes (270 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 3 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 3.000000000000e+00, best bound 3.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1104 rows, 136 columns and 2298 nonzeros
Model fingerprint: 0xeffc2a87
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 792 rows and 0 columns
Presolve time: 0.00s
Presolved: 312 rows, 136 columns, 955 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 3.788904e-01, 152 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.37889    0   93    8.00000    0.37889  95.3%     -    0s
H    0     0                       6.0000000    0.37889  93.7%     -    0s
H    0     0                       3.0000000    0.37889  87.4%     -    0s
     0     0 infeasible    0         3.00000    3.00000  0.00%     -    0s

Cutting planes:
  Clique: 1
  Zero half: 5
  RLT: 22
  Relax-and-lift: 5

Explored 1 nodes (213 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 3 6 8

Optimal solution found (tolerance 1.00e-04)
Best objective 3.000000000000e+00, best bound 3.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1104 rows, 136 columns and 2298 nonzeros
Model fingerprint: 0xeffc2a87
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 792 rows and 0 columns
Presolve time: 0.00s
Presolved: 312 rows, 136 columns, 955 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 3.788904e-01, 152 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.37889    0   93    8.00000    0.37889  95.3%     -    0s
H    0     0                       6.0000000    0.37889  93.7%     -    0s
H    0     0                       3.0000000    0.37889  87.4%     -    0s
     0     0 infeasible    0         3.00000    3.00000  0.00%     -    0s

Cutting planes:
  Clique: 1
  Zero half: 5
  RLT: 22
  Relax-and-lift: 5

Explored 1 nodes (213 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 3 6 8

Optimal solution found (tolerance 1.00e-04)
Best objective 3.000000000000e+00, best bound 3.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1104 rows, 136 columns and 2298 nonzeros
Model fingerprint: 0xeffc2a87
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 792 rows and 0 columns
Presolve time: 0.00s
Presolved: 312 rows, 136 columns, 955 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 3.788904e-01, 152 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.37889    0   93    8.00000    0.37889  95.3%     -    0s
H    0     0                       6.0000000    0.37889  93.7%     -    0s
H    0     0                       3.0000000    0.37889  87.4%     -    0s
     0     0 infeasible    0         3.00000    3.00000  0.00%     -    0s

Cutting planes:
  Clique: 1
  Zero half: 5
  RLT: 22
  Relax-and-lift: 5

Explored 1 nodes (213 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 3 6 8

Optimal solution found (tolerance 1.00e-04)
Best objective 3.000000000000e+00, best bound 3.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1104 rows, 136 columns and 2298 nonzeros
Model fingerprint: 0xd5f6fa3e
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 796 rows and 0 columns
Presolve time: 0.01s
Presolved: 308 rows, 136 columns, 970 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 140 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   76    8.00000    0.57851  92.8%     -    0s
H    0     0                       6.0000000    0.57851  90.4%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
H    0     0                       4.0000000    0.57851  85.5%     -    0s
     0     0    1.75000    0   45    4.00000    1.75000  56.2%     -    0s
     0     0    1.75000    0   51    4.00000    1.75000  56.2%     -    0s
     0     0    3.00000    0   43    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   43    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   28    4.00000    3.00000  25.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 3
  Clique: 8
  MIR: 1
  Zero half: 7
  RLT: 1
  Relax-and-lift: 1

Explored 1 nodes (701 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1104 rows, 136 columns and 2298 nonzeros
Model fingerprint: 0xd5f6fa3e
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 796 rows and 0 columns
Presolve time: 0.00s
Presolved: 308 rows, 136 columns, 970 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 140 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   76    8.00000    0.57851  92.8%     -    0s
H    0     0                       6.0000000    0.57851  90.4%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
H    0     0                       4.0000000    0.57851  85.5%     -    0s
     0     0    1.75000    0   45    4.00000    1.75000  56.2%     -    0s
     0     0    1.75000    0   51    4.00000    1.75000  56.2%     -    0s
     0     0    3.00000    0   43    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   43    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   28    4.00000    3.00000  25.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 3
  Clique: 8
  MIR: 1
  Zero half: 7
  RLT: 1
  Relax-and-lift: 1

Explored 1 nodes (701 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1104 rows, 136 columns and 2298 nonzeros
Model fingerprint: 0xd5f6fa3e
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 796 rows and 0 columns
Presolve time: 0.00s
Presolved: 308 rows, 136 columns, 970 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 140 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   76    8.00000    0.57851  92.8%     -    0s
H    0     0                       6.0000000    0.57851  90.4%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
H    0     0                       4.0000000    0.57851  85.5%     -    0s
     0     0    1.75000    0   45    4.00000    1.75000  56.2%     -    0s
     0     0    1.75000    0   51    4.00000    1.75000  56.2%     -    0s
     0     0    3.00000    0   43    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   43    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   28    4.00000    3.00000  25.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 3
  Clique: 8
  MIR: 1
  Zero half: 7
  RLT: 1
  Relax-and-lift: 1

Explored 1 nodes (701 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1122 rows, 136 columns and 2334 nonzeros
Model fingerprint: 0xef8b54a8
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 824 rows and 0 columns
Presolve time: 0.01s
Presolved: 298 rows, 136 columns, 981 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 170 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   70    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
H    0     0                       4.0000000    0.57851  85.5%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 3
  MIR: 2
  Zero half: 15
  RLT: 13
  Relax-and-lift: 12

Explored 1 nodes (451 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1122 rows, 136 columns and 2334 nonzeros
Model fingerprint: 0xef8b54a8
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 824 rows and 0 columns
Presolve time: 0.01s
Presolved: 298 rows, 136 columns, 981 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 170 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   70    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
H    0     0                       4.0000000    0.57851  85.5%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 3
  MIR: 2
  Zero half: 15
  RLT: 13
  Relax-and-lift: 12

Explored 1 nodes (451 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1122 rows, 136 columns and 2334 nonzeros
Model fingerprint: 0xef8b54a8
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 824 rows and 0 columns
Presolve time: 0.01s
Presolved: 298 rows, 136 columns, 981 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 170 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   70    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
H    0     0                       4.0000000    0.57851  85.5%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 3
  MIR: 2
  Zero half: 15
  RLT: 13
  Relax-and-lift: 12

Explored 1 nodes (451 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1434 rows, 166 columns and 2988 nonzeros
Model fingerprint: 0x6c7998b8
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1133 rows and 0 columns
Presolve time: 0.01s
Presolved: 301 rows, 166 columns, 1085 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)

Root relaxation: objective 5.342662e-01, 175 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.53427    0   91   10.00000    0.53427  94.7%     -    0s
H    0     0                       6.0000000    0.53427  91.1%     -    0s
H    0     0                       5.0000000    0.53427  89.3%     -    0s
     0     0    2.10526    0   39    5.00000    2.10526  57.9%     -    0s
     0     0    3.00000    0    8    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0    8    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (712 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 10

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1434 rows, 166 columns and 2988 nonzeros
Model fingerprint: 0x6c7998b8
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1133 rows and 0 columns
Presolve time: 0.01s
Presolved: 301 rows, 166 columns, 1085 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)

Root relaxation: objective 5.342662e-01, 175 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.53427    0   91   10.00000    0.53427  94.7%     -    0s
H    0     0                       6.0000000    0.53427  91.1%     -    0s
H    0     0                       5.0000000    0.53427  89.3%     -    0s
     0     0    2.10526    0   39    5.00000    2.10526  57.9%     -    0s
     0     0    3.00000    0    8    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0    8    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (712 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 10

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1434 rows, 166 columns and 2988 nonzeros
Model fingerprint: 0x6c7998b8
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1133 rows and 0 columns
Presolve time: 0.01s
Presolved: 301 rows, 166 columns, 1085 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)

Root relaxation: objective 5.342662e-01, 175 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.53427    0   91   10.00000    0.53427  94.7%     -    0s
H    0     0                       6.0000000    0.53427  91.1%     -    0s
H    0     0                       5.0000000    0.53427  89.3%     -    0s
     0     0    2.10526    0   39    5.00000    2.10526  57.9%     -    0s
     0     0    3.00000    0    8    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0    8    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (712 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 10

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1086 rows, 136 columns and 2262 nonzeros
Model fingerprint: 0x8b749350
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 774 rows and 0 columns
Presolve time: 0.01s
Presolved: 312 rows, 136 columns, 983 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 3.811252e-01, 136 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.38113    0  105    8.00000    0.38113  95.2%     -    0s
H    0     0                       5.0000000    0.38113  92.4%     -    0s
H    0     0                       4.0000000    0.38113  90.5%     -    0s
     0     0    2.00000    0   36    4.00000    2.00000  50.0%     -    0s
*    0     0               0       3.0000000    3.00000  0.00%     -    0s

Explored 1 nodes (458 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 3 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 3.000000000000e+00, best bound 3.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1086 rows, 136 columns and 2262 nonzeros
Model fingerprint: 0x8b749350
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 774 rows and 0 columns
Presolve time: 0.01s
Presolved: 312 rows, 136 columns, 983 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 3.811252e-01, 136 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.38113    0  105    8.00000    0.38113  95.2%     -    0s
H    0     0                       5.0000000    0.38113  92.4%     -    0s
H    0     0                       4.0000000    0.38113  90.5%     -    0s
     0     0    2.00000    0   36    4.00000    2.00000  50.0%     -    0s
*    0     0               0       3.0000000    3.00000  0.00%     -    0s

Explored 1 nodes (458 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 3 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 3.000000000000e+00, best bound 3.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1086 rows, 136 columns and 2262 nonzeros
Model fingerprint: 0x8b749350
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 774 rows and 0 columns
Presolve time: 0.01s
Presolved: 312 rows, 136 columns, 983 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 3.811252e-01, 136 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.38113    0  105    8.00000    0.38113  95.2%     -    0s
H    0     0                       5.0000000    0.38113  92.4%     -    0s
H    0     0                       4.0000000    0.38113  90.5%     -    0s
     0     0    2.00000    0   36    4.00000    2.00000  50.0%     -    0s
*    0     0               0       3.0000000    3.00000  0.00%     -    0s

Explored 1 nodes (458 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 3 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 3.000000000000e+00, best bound 3.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1280 rows, 166 columns and 2680 nonzeros
Model fingerprint: 0xa2d19f2b
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 916 rows and 0 columns
Presolve time: 0.01s
Presolved: 364 rows, 166 columns, 1178 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)

Root relaxation: objective 5.223339e-01, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.52233    0   74   10.00000    0.52233  94.8%     -    0s
H    0     0                       5.0000000    0.52233  89.6%     -    0s
H    0     0                       4.0000000    0.52233  86.9%     -    0s
H    0     0                       3.0000000    0.52233  82.6%     -    0s
     0     0 infeasible    0         3.00000    3.00000  0.00%     -    0s

Cutting planes:
  MIR: 4
  Zero half: 5
  RLT: 12
  Relax-and-lift: 10

Explored 1 nodes (366 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 3 4 5 10

Optimal solution found (tolerance 1.00e-04)
Best objective 3.000000000000e+00, best bound 3.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1280 rows, 166 columns and 2680 nonzeros
Model fingerprint: 0xa2d19f2b
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 916 rows and 0 columns
Presolve time: 0.01s
Presolved: 364 rows, 166 columns, 1178 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)

Root relaxation: objective 5.223339e-01, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.52233    0   74   10.00000    0.52233  94.8%     -    0s
H    0     0                       5.0000000    0.52233  89.6%     -    0s
H    0     0                       4.0000000    0.52233  86.9%     -    0s
H    0     0                       3.0000000    0.52233  82.6%     -    0s
     0     0 infeasible    0         3.00000    3.00000  0.00%     -    0s

Cutting planes:
  MIR: 4
  Zero half: 5
  RLT: 12
  Relax-and-lift: 10

Explored 1 nodes (366 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 3 4 5 10

Optimal solution found (tolerance 1.00e-04)
Best objective 3.000000000000e+00, best bound 3.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1280 rows, 166 columns and 2680 nonzeros
Model fingerprint: 0xa2d19f2b
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 916 rows and 0 columns
Presolve time: 0.01s
Presolved: 364 rows, 166 columns, 1178 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)

Root relaxation: objective 5.223339e-01, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.52233    0   74   10.00000    0.52233  94.8%     -    0s
H    0     0                       5.0000000    0.52233  89.6%     -    0s
H    0     0                       4.0000000    0.52233  86.9%     -    0s
H    0     0                       3.0000000    0.52233  82.6%     -    0s
     0     0 infeasible    0         3.00000    3.00000  0.00%     -    0s

Cutting planes:
  MIR: 4
  Zero half: 5
  RLT: 12
  Relax-and-lift: 10

Explored 1 nodes (366 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 3 4 5 10

Optimal solution found (tolerance 1.00e-04)
Best objective 3.000000000000e+00, best bound 3.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1611 rows, 181 columns and 3357 nonzeros
Model fingerprint: 0x6317297c
Variable types: 1 continuous, 180 integer (180 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 11.0000000
Presolve removed 1253 rows and 0 columns
Presolve time: 0.01s
Presolved: 358 rows, 181 columns, 1312 nonzeros
Variable types: 0 continuous, 181 integer (180 binary)

Root relaxation: objective 5.136829e-01, 157 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.51368    0  115   11.00000    0.51368  95.3%     -    0s
H    0     0                       8.0000000    0.51368  93.6%     -    0s
H    0     0                       5.0000000    0.51368  89.7%     -    0s
     0     0    2.00000    0   39    5.00000    2.00000  60.0%     -    0s
     0     0    2.00000    0   53    5.00000    2.00000  60.0%     -    0s
     0     0    4.00000    0   32    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   28    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   20    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   12    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   35    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   12    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   32    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   14    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   26    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   19    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   19    5.00000    4.00000  20.0%     -    0s
     0     2    4.00000    0   19    5.00000    4.00000  20.0%     -    0s

Cutting planes:
  Clique: 6
  Flow cover: 1
  Zero half: 7

Explored 46 nodes (3320 simplex iterations) in 0.22 seconds (0.12 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 5 8 11

Optimal solution found (tolerance 1.00e-04)
Best objective 5.000000000000e+00, best bound 5.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1611 rows, 181 columns and 3357 nonzeros
Model fingerprint: 0x6317297c
Variable types: 1 continuous, 180 integer (180 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 11.0000000
Presolve removed 1253 rows and 0 columns
Presolve time: 0.01s
Presolved: 358 rows, 181 columns, 1312 nonzeros
Variable types: 0 continuous, 181 integer (180 binary)

Root relaxation: objective 5.136829e-01, 157 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.51368    0  115   11.00000    0.51368  95.3%     -    0s
H    0     0                       8.0000000    0.51368  93.6%     -    0s
H    0     0                       5.0000000    0.51368  89.7%     -    0s
     0     0    2.00000    0   39    5.00000    2.00000  60.0%     -    0s
     0     0    2.00000    0   53    5.00000    2.00000  60.0%     -    0s
     0     0    4.00000    0   32    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   28    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   20    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   12    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   35    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   12    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   32    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   14    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   26    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   19    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   19    5.00000    4.00000  20.0%     -    0s
     0     2    4.00000    0   19    5.00000    4.00000  20.0%     -    0s

Cutting planes:
  Clique: 6
  Flow cover: 1
  Zero half: 7

Explored 46 nodes (3320 simplex iterations) in 0.22 seconds (0.12 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 5 8 11

Optimal solution found (tolerance 1.00e-04)
Best objective 5.000000000000e+00, best bound 5.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1611 rows, 181 columns and 3357 nonzeros
Model fingerprint: 0x6317297c
Variable types: 1 continuous, 180 integer (180 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 11.0000000
Presolve removed 1253 rows and 0 columns
Presolve time: 0.01s
Presolved: 358 rows, 181 columns, 1312 nonzeros
Variable types: 0 continuous, 181 integer (180 binary)

Root relaxation: objective 5.136829e-01, 157 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.51368    0  115   11.00000    0.51368  95.3%     -    0s
H    0     0                       8.0000000    0.51368  93.6%     -    0s
H    0     0                       5.0000000    0.51368  89.7%     -    0s
     0     0    2.00000    0   39    5.00000    2.00000  60.0%     -    0s
     0     0    2.00000    0   53    5.00000    2.00000  60.0%     -    0s
     0     0    4.00000    0   32    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   28    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   20    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   12    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   35    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   12    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   32    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   14    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   26    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   19    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   19    5.00000    4.00000  20.0%     -    0s
     0     2    4.00000    0   19    5.00000    4.00000  20.0%     -    0s

Cutting planes:
  Clique: 6
  Flow cover: 1
  Zero half: 7

Explored 46 nodes (3320 simplex iterations) in 0.22 seconds (0.12 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 5 8 11

Optimal solution found (tolerance 1.00e-04)
Best objective 5.000000000000e+00, best bound 5.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1539 rows, 181 columns and 3213 nonzeros
Model fingerprint: 0x354130cc
Variable types: 1 continuous, 180 integer (180 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 11.0000000
Presolve removed 1199 rows and 0 columns
Presolve time: 0.01s
Presolved: 340 rows, 181 columns, 1222 nonzeros
Variable types: 0 continuous, 181 integer (180 binary)

Root relaxation: objective 5.211534e-01, 170 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.52115    0   99   11.00000    0.52115  95.3%     -    0s
H    0     0                       6.0000000    0.52115  91.3%     -    0s
H    0     0                       5.0000000    0.52115  89.6%     -    0s
     0     0 infeasible    0         5.00000    5.00000  0.00%     -    0s

Cutting planes:
  Gomory: 6
  Zero half: 11
  RLT: 12
  Relax-and-lift: 12

Explored 1 nodes (299 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 5 6 11

Optimal solution found (tolerance 1.00e-04)
Best objective 5.000000000000e+00, best bound 5.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1539 rows, 181 columns and 3213 nonzeros
Model fingerprint: 0x354130cc
Variable types: 1 continuous, 180 integer (180 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 11.0000000
Presolve removed 1199 rows and 0 columns
Presolve time: 0.01s
Presolved: 340 rows, 181 columns, 1222 nonzeros
Variable types: 0 continuous, 181 integer (180 binary)

Root relaxation: objective 5.211534e-01, 170 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.52115    0   99   11.00000    0.52115  95.3%     -    0s
H    0     0                       6.0000000    0.52115  91.3%     -    0s
H    0     0                       5.0000000    0.52115  89.6%     -    0s
     0     0 infeasible    0         5.00000    5.00000  0.00%     -    0s

Cutting planes:
  Gomory: 6
  Zero half: 11
  RLT: 12
  Relax-and-lift: 12

Explored 1 nodes (299 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 5 6 11

Optimal solution found (tolerance 1.00e-04)
Best objective 5.000000000000e+00, best bound 5.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1539 rows, 181 columns and 3213 nonzeros
Model fingerprint: 0x354130cc
Variable types: 1 continuous, 180 integer (180 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 11.0000000
Presolve removed 1199 rows and 0 columns
Presolve time: 0.01s
Presolved: 340 rows, 181 columns, 1222 nonzeros
Variable types: 0 continuous, 181 integer (180 binary)

Root relaxation: objective 5.211534e-01, 170 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.52115    0   99   11.00000    0.52115  95.3%     -    0s
H    0     0                       6.0000000    0.52115  91.3%     -    0s
H    0     0                       5.0000000    0.52115  89.6%     -    0s
     0     0 infeasible    0         5.00000    5.00000  0.00%     -    0s

Cutting planes:
  Gomory: 6
  Zero half: 11
  RLT: 12
  Relax-and-lift: 12

Explored 1 nodes (299 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 5 6 11

Optimal solution found (tolerance 1.00e-04)
Best objective 5.000000000000e+00, best bound 5.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1285 rows, 151 columns and 2675 nonzeros
Model fingerprint: 0xacb473d9
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 977 rows and 0 columns
Presolve time: 0.01s
Presolved: 308 rows, 151 columns, 1068 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 5.519054e-01, 179 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.55191    0   90    9.00000    0.55191  93.9%     -    0s
H    0     0                       8.0000000    0.55191  93.1%     -    0s
H    0     0                       7.0000000    0.55191  92.1%     -    0s
H    0     0                       6.0000000    0.55191  90.8%     -    0s
H    0     0                       5.0000000    0.55191  89.0%     -    0s
     0     0    1.88372    0   56    5.00000    1.88372  62.3%     -    0s
     0     0    3.00000    0    8    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0    8    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (766 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 6: 4 5 6 ... 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1285 rows, 151 columns and 2675 nonzeros
Model fingerprint: 0xacb473d9
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 977 rows and 0 columns
Presolve time: 0.01s
Presolved: 308 rows, 151 columns, 1068 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 5.519054e-01, 179 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.55191    0   90    9.00000    0.55191  93.9%     -    0s
H    0     0                       8.0000000    0.55191  93.1%     -    0s
H    0     0                       7.0000000    0.55191  92.1%     -    0s
H    0     0                       6.0000000    0.55191  90.8%     -    0s
H    0     0                       5.0000000    0.55191  89.0%     -    0s
     0     0    1.88372    0   56    5.00000    1.88372  62.3%     -    0s
     0     0    3.00000    0    8    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0    8    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (766 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 6: 4 5 6 ... 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1285 rows, 151 columns and 2675 nonzeros
Model fingerprint: 0xacb473d9
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 977 rows and 0 columns
Presolve time: 0.01s
Presolved: 308 rows, 151 columns, 1068 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 5.519054e-01, 179 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.55191    0   90    9.00000    0.55191  93.9%     -    0s
H    0     0                       8.0000000    0.55191  93.1%     -    0s
H    0     0                       7.0000000    0.55191  92.1%     -    0s
H    0     0                       6.0000000    0.55191  90.8%     -    0s
H    0     0                       5.0000000    0.55191  89.0%     -    0s
     0     0    1.88372    0   56    5.00000    1.88372  62.3%     -    0s
     0     0    3.00000    0    8    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    3.00000    0    8    4.00000    3.00000  25.0%     -    0s

Explored 1 nodes (766 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 6: 4 5 6 ... 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1640 rows, 196 columns and 3430 nonzeros
Model fingerprint: 0x93299ce3
Variable types: 1 continuous, 195 integer (195 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 12.0000000
Presolve removed 1272 rows and 0 columns
Presolve time: 0.01s
Presolved: 368 rows, 196 columns, 1313 nonzeros
Variable types: 0 continuous, 196 integer (195 binary)

Root relaxation: objective 5.000000e-01, 172 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.50000    0  108   12.00000    0.50000  95.8%     -    0s
H    0     0                       5.0000000    0.50000  90.0%     -    0s
H    0     0                       4.0000000    0.50000  87.5%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 14
  MIR: 10
  StrongCG: 2
  Zero half: 2
  RLT: 11
  Relax-and-lift: 15

Explored 1 nodes (398 simplex iterations) in 0.02 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 12

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1640 rows, 196 columns and 3430 nonzeros
Model fingerprint: 0x93299ce3
Variable types: 1 continuous, 195 integer (195 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 12.0000000
Presolve removed 1272 rows and 0 columns
Presolve time: 0.01s
Presolved: 368 rows, 196 columns, 1313 nonzeros
Variable types: 0 continuous, 196 integer (195 binary)

Root relaxation: objective 5.000000e-01, 172 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.50000    0  108   12.00000    0.50000  95.8%     -    0s
H    0     0                       5.0000000    0.50000  90.0%     -    0s
H    0     0                       4.0000000    0.50000  87.5%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 14
  MIR: 10
  StrongCG: 2
  Zero half: 2
  RLT: 11
  Relax-and-lift: 15

Explored 1 nodes (398 simplex iterations) in 0.02 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 12

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1640 rows, 196 columns and 3430 nonzeros
Model fingerprint: 0x93299ce3
Variable types: 1 continuous, 195 integer (195 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 12.0000000
Presolve removed 1272 rows and 0 columns
Presolve time: 0.01s
Presolved: 368 rows, 196 columns, 1313 nonzeros
Variable types: 0 continuous, 196 integer (195 binary)

Root relaxation: objective 5.000000e-01, 172 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.50000    0  108   12.00000    0.50000  95.8%     -    0s
H    0     0                       5.0000000    0.50000  90.0%     -    0s
H    0     0                       4.0000000    0.50000  87.5%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 14
  MIR: 10
  StrongCG: 2
  Zero half: 2
  RLT: 11
  Relax-and-lift: 15

Explored 1 nodes (398 simplex iterations) in 0.02 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 12

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1285 rows, 151 columns and 2675 nonzeros
Model fingerprint: 0x0fec7993
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 959 rows and 0 columns
Presolve time: 0.01s
Presolved: 326 rows, 151 columns, 1077 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 5.519054e-01, 132 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.55191    0   83    9.00000    0.55191  93.9%     -    0s
H    0     0                       6.0000000    0.55191  90.8%     -    0s
H    0     0                       5.0000000    0.55191  89.0%     -    0s
H    0     0                       4.0000000    0.55191  86.2%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 5
  MIR: 2
  Zero half: 7
  RLT: 17
  Relax-and-lift: 13

Explored 1 nodes (272 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1285 rows, 151 columns and 2675 nonzeros
Model fingerprint: 0x0fec7993
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 959 rows and 0 columns
Presolve time: 0.01s
Presolved: 326 rows, 151 columns, 1077 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 5.519054e-01, 132 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.55191    0   83    9.00000    0.55191  93.9%     -    0s
H    0     0                       6.0000000    0.55191  90.8%     -    0s
H    0     0                       5.0000000    0.55191  89.0%     -    0s
H    0     0                       4.0000000    0.55191  86.2%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 5
  MIR: 2
  Zero half: 7
  RLT: 17
  Relax-and-lift: 13

Explored 1 nodes (272 simplex iterations) in 0.03 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1285 rows, 151 columns and 2675 nonzeros
Model fingerprint: 0x0fec7993
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 959 rows and 0 columns
Presolve time: 0.01s
Presolved: 326 rows, 151 columns, 1077 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 5.519054e-01, 132 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.55191    0   83    9.00000    0.55191  93.9%     -    0s
H    0     0                       6.0000000    0.55191  90.8%     -    0s
H    0     0                       5.0000000    0.55191  89.0%     -    0s
H    0     0                       4.0000000    0.55191  86.2%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 5
  MIR: 2
  Zero half: 7
  RLT: 17
  Relax-and-lift: 13

Explored 1 nodes (272 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1205 rows, 151 columns and 2515 nonzeros
Model fingerprint: 0x00ded2e9
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 892 rows and 0 columns
Presolve time: 0.01s
Presolved: 313 rows, 151 columns, 1020 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 5.961071e-01, 155 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.59611    0   72    9.00000    0.59611  93.4%     -    0s
H    0     0                       6.0000000    0.59611  90.1%     -    0s
H    0     0                       5.0000000    0.59611  88.1%     -    0s
     0     0 infeasible    0         5.00000    5.00000  0.00%     -    0s

Cutting planes:
  Gomory: 7
  Zero half: 7
  RLT: 15
  Relax-and-lift: 11

Explored 1 nodes (277 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 5 6 9

Optimal solution found (tolerance 1.00e-04)
Best objective 5.000000000000e+00, best bound 5.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1205 rows, 151 columns and 2515 nonzeros
Model fingerprint: 0x00ded2e9
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 892 rows and 0 columns
Presolve time: 0.01s
Presolved: 313 rows, 151 columns, 1020 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 5.961071e-01, 155 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.59611    0   72    9.00000    0.59611  93.4%     -    0s
H    0     0                       6.0000000    0.59611  90.1%     -    0s
H    0     0                       5.0000000    0.59611  88.1%     -    0s
     0     0 infeasible    0         5.00000    5.00000  0.00%     -    0s

Cutting planes:
  Gomory: 7
  Zero half: 7
  RLT: 15
  Relax-and-lift: 11

Explored 1 nodes (277 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 5 6 9

Optimal solution found (tolerance 1.00e-04)
Best objective 5.000000000000e+00, best bound 5.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1205 rows, 151 columns and 2515 nonzeros
Model fingerprint: 0x00ded2e9
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 892 rows and 0 columns
Presolve time: 0.01s
Presolved: 313 rows, 151 columns, 1020 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 5.961071e-01, 155 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.59611    0   72    9.00000    0.59611  93.4%     -    0s
H    0     0                       6.0000000    0.59611  90.1%     -    0s
H    0     0                       5.0000000    0.59611  88.1%     -    0s
     0     0 infeasible    0         5.00000    5.00000  0.00%     -    0s

Cutting planes:
  Gomory: 7
  Zero half: 7
  RLT: 15
  Relax-and-lift: 11

Explored 1 nodes (277 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 5 6 9

Optimal solution found (tolerance 1.00e-04)
Best objective 5.000000000000e+00, best bound 5.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1145 rows, 151 columns and 2395 nonzeros
Model fingerprint: 0xd7964e4a
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 863 rows and 0 columns
Presolve time: 0.00s
Presolved: 282 rows, 151 columns, 941 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 4.078660e-01, 137 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.40787    0  101    9.00000    0.40787  95.5%     -    0s
H    0     0                       6.0000000    0.40787  93.2%     -    0s
H    0     0                       5.0000000    0.40787  91.8%     -    0s
H    0     0                       4.0000000    0.40787  89.8%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 10
  Clique: 1
  MIR: 2
  Zero half: 8
  RLT: 17
  Relax-and-lift: 12

Explored 1 nodes (293 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1145 rows, 151 columns and 2395 nonzeros
Model fingerprint: 0xd7964e4a
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 863 rows and 0 columns
Presolve time: 0.00s
Presolved: 282 rows, 151 columns, 941 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 4.078660e-01, 137 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.40787    0  101    9.00000    0.40787  95.5%     -    0s
H    0     0                       6.0000000    0.40787  93.2%     -    0s
H    0     0                       5.0000000    0.40787  91.8%     -    0s
H    0     0                       4.0000000    0.40787  89.8%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 10
  Clique: 1
  MIR: 2
  Zero half: 8
  RLT: 17
  Relax-and-lift: 12

Explored 1 nodes (293 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1145 rows, 151 columns and 2395 nonzeros
Model fingerprint: 0xd7964e4a
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 863 rows and 0 columns
Presolve time: 0.00s
Presolved: 282 rows, 151 columns, 941 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 4.078660e-01, 137 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.40787    0  101    9.00000    0.40787  95.5%     -    0s
H    0     0                       6.0000000    0.40787  93.2%     -    0s
H    0     0                       5.0000000    0.40787  91.8%     -    0s
H    0     0                       4.0000000    0.40787  89.8%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 10
  Clique: 1
  MIR: 2
  Zero half: 8
  RLT: 17
  Relax-and-lift: 12

Explored 1 nodes (293 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1014 rows, 136 columns and 2118 nonzeros
Model fingerprint: 0x9107a026
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 708 rows and 0 columns
Presolve time: 0.01s
Presolved: 306 rows, 136 columns, 963 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 153 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   67    8.00000    0.57851  92.8%     -    0s
H    0     0                       4.0000000    0.57851  85.5%     -    0s
H    0     0                       3.0000000    0.57851  80.7%     -    0s
     0     0 infeasible    0         3.00000    3.00000  0.00%     -    0s

Cutting planes:
  MIR: 2
  StrongCG: 1
  Zero half: 2
  RLT: 11
  Relax-and-lift: 10

Explored 1 nodes (270 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 3 4 8

Optimal solution found (tolerance 1.00e-04)
Best objective 3.000000000000e+00, best bound 3.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1014 rows, 136 columns and 2118 nonzeros
Model fingerprint: 0x9107a026
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 708 rows and 0 columns
Presolve time: 0.01s
Presolved: 306 rows, 136 columns, 963 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 153 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   67    8.00000    0.57851  92.8%     -    0s
H    0     0                       4.0000000    0.57851  85.5%     -    0s
H    0     0                       3.0000000    0.57851  80.7%     -    0s
     0     0 infeasible    0         3.00000    3.00000  0.00%     -    0s

Cutting planes:
  MIR: 2
  StrongCG: 1
  Zero half: 2
  RLT: 11
  Relax-and-lift: 10

Explored 1 nodes (270 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 3 4 8

Optimal solution found (tolerance 1.00e-04)
Best objective 3.000000000000e+00, best bound 3.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1014 rows, 136 columns and 2118 nonzeros
Model fingerprint: 0x9107a026
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 708 rows and 0 columns
Presolve time: 0.01s
Presolved: 306 rows, 136 columns, 963 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 153 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   67    8.00000    0.57851  92.8%     -    0s
H    0     0                       4.0000000    0.57851  85.5%     -    0s
H    0     0                       3.0000000    0.57851  80.7%     -    0s
     0     0 infeasible    0         3.00000    3.00000  0.00%     -    0s

Cutting planes:
  MIR: 2
  StrongCG: 1
  Zero half: 2
  RLT: 11
  Relax-and-lift: 10

Explored 1 nodes (270 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 3 4 8

Optimal solution found (tolerance 1.00e-04)
Best objective 3.000000000000e+00, best bound 3.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1412 rows, 166 columns and 2944 nonzeros
Model fingerprint: 0xee031820
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1078 rows and 0 columns
Presolve time: 0.01s
Presolved: 334 rows, 166 columns, 1219 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)

Root relaxation: objective 5.302286e-01, 171 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.53023    0   90   10.00000    0.53023  94.7%     -    0s
H    0     0                       7.0000000    0.53023  92.4%     -    0s
H    0     0                       6.0000000    0.53023  91.2%     -    0s
H    0     0                       5.0000000    0.53023  89.4%     -    0s
*    0     0               0       4.0000000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 10
  MIR: 1
  StrongCG: 1
  Zero half: 9
  RLT: 15
  Relax-and-lift: 17

Explored 1 nodes (351 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 5: 4 5 6 ... 10

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1412 rows, 166 columns and 2944 nonzeros
Model fingerprint: 0xee031820
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1078 rows and 0 columns
Presolve time: 0.01s
Presolved: 334 rows, 166 columns, 1219 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)

Root relaxation: objective 5.302286e-01, 171 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.53023    0   90   10.00000    0.53023  94.7%     -    0s
H    0     0                       7.0000000    0.53023  92.4%     -    0s
H    0     0                       6.0000000    0.53023  91.2%     -    0s
H    0     0                       5.0000000    0.53023  89.4%     -    0s
*    0     0               0       4.0000000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 10
  MIR: 1
  StrongCG: 1
  Zero half: 9
  RLT: 15
  Relax-and-lift: 17

Explored 1 nodes (351 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 5: 4 5 6 ... 10

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1412 rows, 166 columns and 2944 nonzeros
Model fingerprint: 0xee031820
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1078 rows and 0 columns
Presolve time: 0.01s
Presolved: 334 rows, 166 columns, 1219 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)

Root relaxation: objective 5.302286e-01, 171 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.53023    0   90   10.00000    0.53023  94.7%     -    0s
H    0     0                       7.0000000    0.53023  92.4%     -    0s
H    0     0                       6.0000000    0.53023  91.2%     -    0s
H    0     0                       5.0000000    0.53023  89.4%     -    0s
*    0     0               0       4.0000000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 10
  MIR: 1
  StrongCG: 1
  Zero half: 9
  RLT: 15
  Relax-and-lift: 17

Explored 1 nodes (351 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 5: 4 5 6 ... 10

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1185 rows, 151 columns and 2475 nonzeros
Model fingerprint: 0x8231a70a
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 844 rows and 0 columns
Presolve time: 0.01s
Presolved: 341 rows, 151 columns, 1120 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 3.656413e-01, 170 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.36564    0  116    9.00000    0.36564  95.9%     -    0s
H    0     0                       8.0000000    0.36564  95.4%     -    0s
H    0     0                       4.0000000    0.36564  90.9%     -    0s
     0     0    1.75000    0   45    4.00000    1.75000  56.2%     -    0s
     0     0    3.00000    0   14    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   35    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   14    4.00000    3.00000  25.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Zero half: 6

Explored 1 nodes (660 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 8 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1185 rows, 151 columns and 2475 nonzeros
Model fingerprint: 0x8231a70a
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 844 rows and 0 columns
Presolve time: 0.01s
Presolved: 341 rows, 151 columns, 1120 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 3.656413e-01, 170 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.36564    0  116    9.00000    0.36564  95.9%     -    0s
H    0     0                       8.0000000    0.36564  95.4%     -    0s
H    0     0                       4.0000000    0.36564  90.9%     -    0s
     0     0    1.75000    0   45    4.00000    1.75000  56.2%     -    0s
     0     0    3.00000    0   14    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   35    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   14    4.00000    3.00000  25.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Zero half: 6

Explored 1 nodes (660 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 8 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1185 rows, 151 columns and 2475 nonzeros
Model fingerprint: 0x8231a70a
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 844 rows and 0 columns
Presolve time: 0.01s
Presolved: 341 rows, 151 columns, 1120 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 3.656413e-01, 170 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.36564    0  116    9.00000    0.36564  95.9%     -    0s
H    0     0                       8.0000000    0.36564  95.4%     -    0s
H    0     0                       4.0000000    0.36564  90.9%     -    0s
     0     0    1.75000    0   45    4.00000    1.75000  56.2%     -    0s
     0     0    3.00000    0   14    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   35    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   14    4.00000    3.00000  25.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Zero half: 6

Explored 1 nodes (660 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 8 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0x43a3f5c2
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 848 rows and 0 columns
Presolve time: 0.00s
Presolved: 292 rows, 136 columns, 973 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 117 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   71    8.00000    0.57851  92.8%     -    0s
H    0     0                       6.0000000    0.57851  90.4%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.49566    0   53    5.00000    1.49566  70.1%     -    0s
     0     0    1.70588    0   45    5.00000    1.70588  65.9%     -    0s
H    0     0                       4.0000000    1.70588  57.4%     -    0s
     0     0    3.00000    0   39    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   39    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   40    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   30    4.00000    3.00000  25.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 1
  Clique: 6
  Zero half: 5
  Relax-and-lift: 1

Explored 1 nodes (847 simplex iterations) in 0.05 seconds (0.03 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0x43a3f5c2
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 848 rows and 0 columns
Presolve time: 0.00s
Presolved: 292 rows, 136 columns, 973 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 117 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   71    8.00000    0.57851  92.8%     -    0s
H    0     0                       6.0000000    0.57851  90.4%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.49566    0   53    5.00000    1.49566  70.1%     -    0s
     0     0    1.70588    0   45    5.00000    1.70588  65.9%     -    0s
H    0     0                       4.0000000    1.70588  57.4%     -    0s
     0     0    3.00000    0   39    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   39    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   40    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   30    4.00000    3.00000  25.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 1
  Clique: 6
  Zero half: 5
  Relax-and-lift: 1

Explored 1 nodes (847 simplex iterations) in 0.05 seconds (0.03 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0x43a3f5c2
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 848 rows and 0 columns
Presolve time: 0.00s
Presolved: 292 rows, 136 columns, 973 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 117 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   71    8.00000    0.57851  92.8%     -    0s
H    0     0                       6.0000000    0.57851  90.4%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    1.49566    0   53    5.00000    1.49566  70.1%     -    0s
     0     0    1.70588    0   45    5.00000    1.70588  65.9%     -    0s
H    0     0                       4.0000000    1.70588  57.4%     -    0s
     0     0    3.00000    0   39    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   39    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   40    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   30    4.00000    3.00000  25.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 1
  Clique: 6
  Zero half: 5
  Relax-and-lift: 1

Explored 1 nodes (847 simplex iterations) in 0.05 seconds (0.03 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 942 rows, 136 columns and 1974 nonzeros
Model fingerprint: 0x68eb1aeb
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 671 rows and 0 columns
Presolve time: 0.00s
Presolved: 271 rows, 136 columns, 865 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.566600e-01, 148 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.55666    0   68    8.00000    0.55666  93.0%     -    0s
H    0     0                       4.0000000    0.55666  86.1%     -    0s
     0     0    1.63636    0   34    4.00000    1.63636  59.1%     -    0s
H    0     0                       3.0000000    1.63636  45.5%     -    0s
     0     0     cutoff    0         3.00000    3.00000  0.00%     -    0s

Explored 1 nodes (567 simplex iterations) in 0.03 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 3 4 8

Optimal solution found (tolerance 1.00e-04)
Best objective 3.000000000000e+00, best bound 3.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 942 rows, 136 columns and 1974 nonzeros
Model fingerprint: 0x68eb1aeb
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 671 rows and 0 columns
Presolve time: 0.00s
Presolved: 271 rows, 136 columns, 865 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.566600e-01, 148 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.55666    0   68    8.00000    0.55666  93.0%     -    0s
H    0     0                       4.0000000    0.55666  86.1%     -    0s
     0     0    1.63636    0   34    4.00000    1.63636  59.1%     -    0s
H    0     0                       3.0000000    1.63636  45.5%     -    0s
     0     0     cutoff    0         3.00000    3.00000  0.00%     -    0s

Explored 1 nodes (567 simplex iterations) in 0.03 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 3 4 8

Optimal solution found (tolerance 1.00e-04)
Best objective 3.000000000000e+00, best bound 3.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 942 rows, 136 columns and 1974 nonzeros
Model fingerprint: 0x68eb1aeb
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 671 rows and 0 columns
Presolve time: 0.00s
Presolved: 271 rows, 136 columns, 865 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.566600e-01, 148 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.55666    0   68    8.00000    0.55666  93.0%     -    0s
H    0     0                       4.0000000    0.55666  86.1%     -    0s
     0     0    1.63636    0   34    4.00000    1.63636  59.1%     -    0s
H    0     0                       3.0000000    1.63636  45.5%     -    0s
     0     0     cutoff    0         3.00000    3.00000  0.00%     -    0s

Explored 1 nodes (567 simplex iterations) in 0.03 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 3 4 8

Optimal solution found (tolerance 1.00e-04)
Best objective 3.000000000000e+00, best bound 3.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1412 rows, 166 columns and 2944 nonzeros
Model fingerprint: 0x95215ae4
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1089 rows and 0 columns
Presolve time: 0.01s
Presolved: 323 rows, 166 columns, 1162 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)

Root relaxation: objective 5.302286e-01, 227 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.53023    0   84   10.00000    0.53023  94.7%     -    0s
H    0     0                       7.0000000    0.53023  92.4%     -    0s
H    0     0                       5.0000000    0.53023  89.4%     -    0s
     0     0    1.88235    0   42    5.00000    1.88235  62.4%     -    0s
H    0     0                       4.0000000    1.88235  52.9%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Explored 1 nodes (602 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 7 10

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1412 rows, 166 columns and 2944 nonzeros
Model fingerprint: 0x95215ae4
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1089 rows and 0 columns
Presolve time: 0.01s
Presolved: 323 rows, 166 columns, 1162 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)

Root relaxation: objective 5.302286e-01, 227 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.53023    0   84   10.00000    0.53023  94.7%     -    0s
H    0     0                       7.0000000    0.53023  92.4%     -    0s
H    0     0                       5.0000000    0.53023  89.4%     -    0s
     0     0    1.88235    0   42    5.00000    1.88235  62.4%     -    0s
H    0     0                       4.0000000    1.88235  52.9%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Explored 1 nodes (602 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 7 10

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1412 rows, 166 columns and 2944 nonzeros
Model fingerprint: 0x95215ae4
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1089 rows and 0 columns
Presolve time: 0.01s
Presolved: 323 rows, 166 columns, 1162 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)

Root relaxation: objective 5.302286e-01, 227 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.53023    0   84   10.00000    0.53023  94.7%     -    0s
H    0     0                       7.0000000    0.53023  92.4%     -    0s
H    0     0                       5.0000000    0.53023  89.4%     -    0s
     0     0    1.88235    0   42    5.00000    1.88235  62.4%     -    0s
H    0     0                       4.0000000    1.88235  52.9%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Explored 1 nodes (602 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 7 10

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1104 rows, 136 columns and 2298 nonzeros
Model fingerprint: 0xd4839faa
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 845 rows and 0 columns
Presolve time: 0.00s
Presolved: 259 rows, 136 columns, 861 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 172 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   71    8.00000    0.57851  92.8%     -    0s
H    0     0                       6.0000000    0.57851  90.4%     -    0s
H    0     0                       4.0000000    0.57851  85.5%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 2
  Clique: 1
  Zero half: 3
  RLT: 13
  Relax-and-lift: 12

Explored 1 nodes (330 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 6 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1104 rows, 136 columns and 2298 nonzeros
Model fingerprint: 0xd4839faa
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 845 rows and 0 columns
Presolve time: 0.00s
Presolved: 259 rows, 136 columns, 861 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 172 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   71    8.00000    0.57851  92.8%     -    0s
H    0     0                       6.0000000    0.57851  90.4%     -    0s
H    0     0                       4.0000000    0.57851  85.5%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 2
  Clique: 1
  Zero half: 3
  RLT: 13
  Relax-and-lift: 12

Explored 1 nodes (330 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 6 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1104 rows, 136 columns and 2298 nonzeros
Model fingerprint: 0xd4839faa
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 845 rows and 0 columns
Presolve time: 0.00s
Presolved: 259 rows, 136 columns, 861 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 172 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   71    8.00000    0.57851  92.8%     -    0s
H    0     0                       6.0000000    0.57851  90.4%     -    0s
H    0     0                       4.0000000    0.57851  85.5%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 2
  Clique: 1
  Zero half: 3
  RLT: 13
  Relax-and-lift: 12

Explored 1 nodes (330 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 6 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 871 rows, 121 columns and 1817 nonzeros
Model fingerprint: 0x78042ebf
Variable types: 1 continuous, 120 integer (120 binary)
Coefficient statistics:
  Matrix range     [1e+00, 7e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 8e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 7.0000000
Presolve removed 597 rows and 0 columns
Presolve time: 0.00s
Presolved: 274 rows, 121 columns, 806 nonzeros
Variable types: 0 continuous, 121 integer (120 binary)

Root relaxation: objective 5.797101e-01, 122 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57971    0   69    7.00000    0.57971  91.7%     -    0s
H    0     0                       6.0000000    0.57971  90.3%     -    0s
H    0     0                       5.0000000    0.57971  88.4%     -    0s
H    0     0                       4.0000000    0.57971  85.5%     -    0s
     0     0    1.33333    0   50    4.00000    1.33333  66.7%     -    0s
     0     0    2.00000    0   14    4.00000    2.00000  50.0%     -    0s
H    0     0                       3.0000000    2.00000  33.3%     -    0s
     0     0    2.00000    0   14    3.00000    2.00000  33.3%     -    0s

Explored 1 nodes (671 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 5: 3 4 5 ... 7

Optimal solution found (tolerance 1.00e-04)
Best objective 3.000000000000e+00, best bound 3.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 871 rows, 121 columns and 1817 nonzeros
Model fingerprint: 0x78042ebf
Variable types: 1 continuous, 120 integer (120 binary)
Coefficient statistics:
  Matrix range     [1e+00, 7e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 8e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 7.0000000
Presolve removed 597 rows and 0 columns
Presolve time: 0.00s
Presolved: 274 rows, 121 columns, 806 nonzeros
Variable types: 0 continuous, 121 integer (120 binary)

Root relaxation: objective 5.797101e-01, 122 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57971    0   69    7.00000    0.57971  91.7%     -    0s
H    0     0                       6.0000000    0.57971  90.3%     -    0s
H    0     0                       5.0000000    0.57971  88.4%     -    0s
H    0     0                       4.0000000    0.57971  85.5%     -    0s
     0     0    1.33333    0   50    4.00000    1.33333  66.7%     -    0s
     0     0    2.00000    0   14    4.00000    2.00000  50.0%     -    0s
H    0     0                       3.0000000    2.00000  33.3%     -    0s
     0     0    2.00000    0   14    3.00000    2.00000  33.3%     -    0s

Explored 1 nodes (671 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 5: 3 4 5 ... 7

Optimal solution found (tolerance 1.00e-04)
Best objective 3.000000000000e+00, best bound 3.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 871 rows, 121 columns and 1817 nonzeros
Model fingerprint: 0x78042ebf
Variable types: 1 continuous, 120 integer (120 binary)
Coefficient statistics:
  Matrix range     [1e+00, 7e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 8e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 7.0000000
Presolve removed 597 rows and 0 columns
Presolve time: 0.00s
Presolved: 274 rows, 121 columns, 806 nonzeros
Variable types: 0 continuous, 121 integer (120 binary)

Root relaxation: objective 5.797101e-01, 122 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57971    0   69    7.00000    0.57971  91.7%     -    0s
H    0     0                       6.0000000    0.57971  90.3%     -    0s
H    0     0                       5.0000000    0.57971  88.4%     -    0s
H    0     0                       4.0000000    0.57971  85.5%     -    0s
     0     0    1.33333    0   50    4.00000    1.33333  66.7%     -    0s
     0     0    2.00000    0   14    4.00000    2.00000  50.0%     -    0s
H    0     0                       3.0000000    2.00000  33.3%     -    0s
     0     0    2.00000    0   14    3.00000    2.00000  33.3%     -    0s

Explored 1 nodes (671 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 5: 3 4 5 ... 7

Optimal solution found (tolerance 1.00e-04)
Best objective 3.000000000000e+00, best bound 3.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1245 rows, 151 columns and 2595 nonzeros
Model fingerprint: 0x63ea4c48
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 902 rows and 0 columns
Presolve time: 0.01s
Presolved: 343 rows, 151 columns, 1107 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 5.379443e-01, 182 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.53794    0   79    9.00000    0.53794  94.0%     -    0s
H    0     0                       5.0000000    0.53794  89.2%     -    0s
H    0     0                       4.0000000    0.53794  86.6%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Zero half: 6
  RLT: 13
  Relax-and-lift: 5

Explored 1 nodes (420 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1245 rows, 151 columns and 2595 nonzeros
Model fingerprint: 0x63ea4c48
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 902 rows and 0 columns
Presolve time: 0.01s
Presolved: 343 rows, 151 columns, 1107 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 5.379443e-01, 182 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.53794    0   79    9.00000    0.53794  94.0%     -    0s
H    0     0                       5.0000000    0.53794  89.2%     -    0s
H    0     0                       4.0000000    0.53794  86.6%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Zero half: 6
  RLT: 13
  Relax-and-lift: 5

Explored 1 nodes (420 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1245 rows, 151 columns and 2595 nonzeros
Model fingerprint: 0x63ea4c48
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 902 rows and 0 columns
Presolve time: 0.01s
Presolved: 343 rows, 151 columns, 1107 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 5.379443e-01, 182 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.53794    0   79    9.00000    0.53794  94.0%     -    0s
H    0     0                       5.0000000    0.53794  89.2%     -    0s
H    0     0                       4.0000000    0.53794  86.6%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Zero half: 6
  RLT: 13
  Relax-and-lift: 5

Explored 1 nodes (420 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1176 rows, 136 columns and 2442 nonzeros
Model fingerprint: 0xd4976fac
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 893 rows and 0 columns
Presolve time: 0.01s
Presolved: 283 rows, 136 columns, 1000 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 139 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   80    8.00000    0.57851  92.8%     -    0s
H    0     0                       6.0000000    0.57851  90.4%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    3.09061    0   22    5.00000    3.09061  38.2%     -    0s
     0     0    3.09061    0   12    5.00000    3.09061  38.2%     -    0s
H    0     0                       4.0000000    3.09061  22.7%     -    0s
     0     0    3.09061    0   12    4.00000    3.09061  22.7%     -    0s

Explored 1 nodes (623 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1176 rows, 136 columns and 2442 nonzeros
Model fingerprint: 0xd4976fac
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 893 rows and 0 columns
Presolve time: 0.01s
Presolved: 283 rows, 136 columns, 1000 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 139 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   80    8.00000    0.57851  92.8%     -    0s
H    0     0                       6.0000000    0.57851  90.4%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    3.09061    0   22    5.00000    3.09061  38.2%     -    0s
     0     0    3.09061    0   12    5.00000    3.09061  38.2%     -    0s
H    0     0                       4.0000000    3.09061  22.7%     -    0s
     0     0    3.09061    0   12    4.00000    3.09061  22.7%     -    0s

Explored 1 nodes (623 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1176 rows, 136 columns and 2442 nonzeros
Model fingerprint: 0xd4976fac
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 893 rows and 0 columns
Presolve time: 0.01s
Presolved: 283 rows, 136 columns, 1000 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.785124e-01, 139 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   80    8.00000    0.57851  92.8%     -    0s
H    0     0                       6.0000000    0.57851  90.4%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
     0     0    3.09061    0   22    5.00000    3.09061  38.2%     -    0s
     0     0    3.09061    0   12    5.00000    3.09061  38.2%     -    0s
H    0     0                       4.0000000    3.09061  22.7%     -    0s
     0     0    3.09061    0   12    4.00000    3.09061  22.7%     -    0s

Explored 1 nodes (623 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1544 rows, 166 columns and 3208 nonzeros
Model fingerprint: 0xeda577de
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1232 rows and 0 columns
Presolve time: 0.01s
Presolved: 312 rows, 166 columns, 1129 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)

Root relaxation: objective 5.302286e-01, 198 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.53023    0   91   10.00000    0.53023  94.7%     -    0s
H    0     0                       6.0000000    0.53023  91.2%     -    0s
H    0     0                       5.0000000    0.53023  89.4%     -    0s
     0     0    2.10526    0   37    5.00000    2.10526  57.9%     -    0s
     0     0    3.00000    0   12    5.00000    3.00000  40.0%     -    0s
     0     0    3.00000    0   26    5.00000    3.00000  40.0%     -    0s
     0     0    3.00000    0   22    5.00000    3.00000  40.0%     -    0s
     0     0    4.00000    0   12    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   25    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   40    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   39    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   19    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   27    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   14    5.00000    4.00000  20.0%     -    0s
     0     2    4.00000    0   12    5.00000    4.00000  20.0%     -    0s

Cutting planes:
  Gomory: 3
  Clique: 8
  Flow cover: 1
  Zero half: 4

Explored 44 nodes (2465 simplex iterations) in 0.11 seconds (0.06 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 5 6 10

Optimal solution found (tolerance 1.00e-04)
Best objective 5.000000000000e+00, best bound 5.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1544 rows, 166 columns and 3208 nonzeros
Model fingerprint: 0xeda577de
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1232 rows and 0 columns
Presolve time: 0.01s
Presolved: 312 rows, 166 columns, 1129 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)

Root relaxation: objective 5.302286e-01, 198 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.53023    0   91   10.00000    0.53023  94.7%     -    0s
H    0     0                       6.0000000    0.53023  91.2%     -    0s
H    0     0                       5.0000000    0.53023  89.4%     -    0s
     0     0    2.10526    0   37    5.00000    2.10526  57.9%     -    0s
     0     0    3.00000    0   12    5.00000    3.00000  40.0%     -    0s
     0     0    3.00000    0   26    5.00000    3.00000  40.0%     -    0s
     0     0    3.00000    0   22    5.00000    3.00000  40.0%     -    0s
     0     0    4.00000    0   12    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   25    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   40    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   39    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   19    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   27    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   14    5.00000    4.00000  20.0%     -    0s
     0     2    4.00000    0   12    5.00000    4.00000  20.0%     -    0s

Cutting planes:
  Gomory: 3
  Clique: 8
  Flow cover: 1
  Zero half: 4

Explored 44 nodes (2465 simplex iterations) in 0.11 seconds (0.06 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 5 6 10

Optimal solution found (tolerance 1.00e-04)
Best objective 5.000000000000e+00, best bound 5.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1544 rows, 166 columns and 3208 nonzeros
Model fingerprint: 0xeda577de
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1232 rows and 0 columns
Presolve time: 0.01s
Presolved: 312 rows, 166 columns, 1129 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)

Root relaxation: objective 5.302286e-01, 198 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.53023    0   91   10.00000    0.53023  94.7%     -    0s
H    0     0                       6.0000000    0.53023  91.2%     -    0s
H    0     0                       5.0000000    0.53023  89.4%     -    0s
     0     0    2.10526    0   37    5.00000    2.10526  57.9%     -    0s
     0     0    3.00000    0   12    5.00000    3.00000  40.0%     -    0s
     0     0    3.00000    0   26    5.00000    3.00000  40.0%     -    0s
     0     0    3.00000    0   22    5.00000    3.00000  40.0%     -    0s
     0     0    4.00000    0   12    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   25    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   40    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   39    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   19    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   27    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   14    5.00000    4.00000  20.0%     -    0s
     0     2    4.00000    0   12    5.00000    4.00000  20.0%     -    0s

Cutting planes:
  Gomory: 3
  Clique: 8
  Flow cover: 1
  Zero half: 4

Explored 44 nodes (2465 simplex iterations) in 0.11 seconds (0.06 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 5 6 10

Optimal solution found (tolerance 1.00e-04)
Best objective 5.000000000000e+00, best bound 5.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1205 rows, 151 columns and 2515 nonzeros
Model fingerprint: 0x4ae4ef1a
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 899 rows and 0 columns
Presolve time: 0.01s
Presolved: 306 rows, 151 columns, 1011 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 3.596990e-01, 149 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.35970    0  117    9.00000    0.35970  96.0%     -    0s
H    0     0                       6.0000000    0.35970  94.0%     -    0s
H    0     0                       5.0000000    0.35970  92.8%     -    0s
H    0     0                       4.0000000    0.35970  91.0%     -    0s
     0     0    1.75000    0   47    4.00000    1.75000  56.2%     -    0s
     0     0    3.00000    0   16    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   49    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   41    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   16    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   34    4.00000    3.00000  25.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 2
  Clique: 5
  Zero half: 5

Explored 1 nodes (708 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1205 rows, 151 columns and 2515 nonzeros
Model fingerprint: 0x4ae4ef1a
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 899 rows and 0 columns
Presolve time: 0.01s
Presolved: 306 rows, 151 columns, 1011 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 3.596990e-01, 149 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.35970    0  117    9.00000    0.35970  96.0%     -    0s
H    0     0                       6.0000000    0.35970  94.0%     -    0s
H    0     0                       5.0000000    0.35970  92.8%     -    0s
H    0     0                       4.0000000    0.35970  91.0%     -    0s
     0     0    1.75000    0   47    4.00000    1.75000  56.2%     -    0s
     0     0    3.00000    0   16    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   49    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   41    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   16    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   34    4.00000    3.00000  25.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 2
  Clique: 5
  Zero half: 5

Explored 1 nodes (708 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1205 rows, 151 columns and 2515 nonzeros
Model fingerprint: 0x4ae4ef1a
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 899 rows and 0 columns
Presolve time: 0.01s
Presolved: 306 rows, 151 columns, 1011 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 3.596990e-01, 149 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.35970    0  117    9.00000    0.35970  96.0%     -    0s
H    0     0                       6.0000000    0.35970  94.0%     -    0s
H    0     0                       5.0000000    0.35970  92.8%     -    0s
H    0     0                       4.0000000    0.35970  91.0%     -    0s
     0     0    1.75000    0   47    4.00000    1.75000  56.2%     -    0s
     0     0    3.00000    0   16    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   49    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   41    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   16    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   34    4.00000    3.00000  25.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 2
  Clique: 5
  Zero half: 5

Explored 1 nodes (708 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1265 rows, 151 columns and 2635 nonzeros
Model fingerprint: 0xa9a0a0cf
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 961 rows and 0 columns
Presolve time: 0.01s
Presolved: 304 rows, 151 columns, 1054 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 5.519054e-01, 165 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.55191    0   80    9.00000    0.55191  93.9%     -    0s
H    0     0                       7.0000000    0.55191  92.1%     -    0s
H    0     0                       6.0000000    0.55191  90.8%     -    0s
H    0     0                       5.0000000    0.55191  89.0%     -    0s
     0     0 infeasible    0         5.00000    5.00000  0.00%     -    0s

Cutting planes:
  Gomory: 8
  StrongCG: 1
  Zero half: 6
  RLT: 13
  Relax-and-lift: 11

Explored 1 nodes (370 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 5 6 7 9

Optimal solution found (tolerance 1.00e-04)
Best objective 5.000000000000e+00, best bound 5.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1265 rows, 151 columns and 2635 nonzeros
Model fingerprint: 0xa9a0a0cf
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 961 rows and 0 columns
Presolve time: 0.01s
Presolved: 304 rows, 151 columns, 1054 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 5.519054e-01, 165 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.55191    0   80    9.00000    0.55191  93.9%     -    0s
H    0     0                       7.0000000    0.55191  92.1%     -    0s
H    0     0                       6.0000000    0.55191  90.8%     -    0s
H    0     0                       5.0000000    0.55191  89.0%     -    0s
     0     0 infeasible    0         5.00000    5.00000  0.00%     -    0s

Cutting planes:
  Gomory: 8
  StrongCG: 1
  Zero half: 6
  RLT: 13
  Relax-and-lift: 11

Explored 1 nodes (370 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 5 6 7 9

Optimal solution found (tolerance 1.00e-04)
Best objective 5.000000000000e+00, best bound 5.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1265 rows, 151 columns and 2635 nonzeros
Model fingerprint: 0xa9a0a0cf
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 961 rows and 0 columns
Presolve time: 0.01s
Presolved: 304 rows, 151 columns, 1054 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 5.519054e-01, 165 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.55191    0   80    9.00000    0.55191  93.9%     -    0s
H    0     0                       7.0000000    0.55191  92.1%     -    0s
H    0     0                       6.0000000    0.55191  90.8%     -    0s
H    0     0                       5.0000000    0.55191  89.0%     -    0s
     0     0 infeasible    0         5.00000    5.00000  0.00%     -    0s

Cutting planes:
  Gomory: 8
  StrongCG: 1
  Zero half: 6
  RLT: 13
  Relax-and-lift: 11

Explored 1 nodes (370 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 5 6 7 9

Optimal solution found (tolerance 1.00e-04)
Best objective 5.000000000000e+00, best bound 5.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1125 rows, 151 columns and 2355 nonzeros
Model fingerprint: 0x1437b9c1
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 839 rows and 0 columns
Presolve time: 0.01s
Presolved: 286 rows, 151 columns, 935 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 5.519054e-01, 145 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.55191    0   82    9.00000    0.55191  93.9%     -    0s
H    0     0                       7.0000000    0.55191  92.1%     -    0s
H    0     0                       5.0000000    0.55191  89.0%     -    0s
     0     0 infeasible    0         5.00000    5.00000  0.00%     -    0s

Cutting planes:
  Gomory: 8
  Clique: 1
  MIR: 1
  Zero half: 6
  RLT: 14
  Relax-and-lift: 12

Explored 1 nodes (315 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 5 7 9

Optimal solution found (tolerance 1.00e-04)
Best objective 5.000000000000e+00, best bound 5.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1125 rows, 151 columns and 2355 nonzeros
Model fingerprint: 0x1437b9c1
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 839 rows and 0 columns
Presolve time: 0.01s
Presolved: 286 rows, 151 columns, 935 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 5.519054e-01, 145 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.55191    0   82    9.00000    0.55191  93.9%     -    0s
H    0     0                       7.0000000    0.55191  92.1%     -    0s
H    0     0                       5.0000000    0.55191  89.0%     -    0s
     0     0 infeasible    0         5.00000    5.00000  0.00%     -    0s

Cutting planes:
  Gomory: 8
  Clique: 1
  MIR: 1
  Zero half: 6
  RLT: 14
  Relax-and-lift: 12

Explored 1 nodes (315 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 5 7 9

Optimal solution found (tolerance 1.00e-04)
Best objective 5.000000000000e+00, best bound 5.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1125 rows, 151 columns and 2355 nonzeros
Model fingerprint: 0x1437b9c1
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 839 rows and 0 columns
Presolve time: 0.01s
Presolved: 286 rows, 151 columns, 935 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 5.519054e-01, 145 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.55191    0   82    9.00000    0.55191  93.9%     -    0s
H    0     0                       7.0000000    0.55191  92.1%     -    0s
H    0     0                       5.0000000    0.55191  89.0%     -    0s
     0     0 infeasible    0         5.00000    5.00000  0.00%     -    0s

Cutting planes:
  Gomory: 8
  Clique: 1
  MIR: 1
  Zero half: 6
  RLT: 14
  Relax-and-lift: 12

Explored 1 nodes (315 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 5 7 9

Optimal solution found (tolerance 1.00e-04)
Best objective 5.000000000000e+00, best bound 5.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1539 rows, 181 columns and 3213 nonzeros
Model fingerprint: 0xfcc290c7
Variable types: 1 continuous, 180 integer (180 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 11.0000000
Presolve removed 1188 rows and 0 columns
Presolve time: 0.01s
Presolved: 351 rows, 181 columns, 1230 nonzeros
Variable types: 0 continuous, 181 integer (180 binary)

Root relaxation: objective 5.090395e-01, 243 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.50904    0   90   11.00000    0.50904  95.4%     -    0s
H    0     0                       5.0000000    0.50904  89.8%     -    0s
H    0     0                       4.0000000    0.50904  87.3%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  MIR: 1
  Zero half: 2
  RLT: 12
  Relax-and-lift: 12

Explored 1 nodes (438 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 11

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1539 rows, 181 columns and 3213 nonzeros
Model fingerprint: 0xfcc290c7
Variable types: 1 continuous, 180 integer (180 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 11.0000000
Presolve removed 1188 rows and 0 columns
Presolve time: 0.01s
Presolved: 351 rows, 181 columns, 1230 nonzeros
Variable types: 0 continuous, 181 integer (180 binary)

Root relaxation: objective 5.090395e-01, 243 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.50904    0   90   11.00000    0.50904  95.4%     -    0s
H    0     0                       5.0000000    0.50904  89.8%     -    0s
H    0     0                       4.0000000    0.50904  87.3%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  MIR: 1
  Zero half: 2
  RLT: 12
  Relax-and-lift: 12

Explored 1 nodes (438 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 11

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1539 rows, 181 columns and 3213 nonzeros
Model fingerprint: 0xfcc290c7
Variable types: 1 continuous, 180 integer (180 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 11.0000000
Presolve removed 1188 rows and 0 columns
Presolve time: 0.01s
Presolved: 351 rows, 181 columns, 1230 nonzeros
Variable types: 0 continuous, 181 integer (180 binary)

Root relaxation: objective 5.090395e-01, 243 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.50904    0   90   11.00000    0.50904  95.4%     -    0s
H    0     0                       5.0000000    0.50904  89.8%     -    0s
H    0     0                       4.0000000    0.50904  87.3%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  MIR: 1
  Zero half: 2
  RLT: 12
  Relax-and-lift: 12

Explored 1 nodes (438 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 11

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 887 rows, 121 columns and 1849 nonzeros
Model fingerprint: 0x7b5b79ac
Variable types: 1 continuous, 120 integer (120 binary)
Coefficient statistics:
  Matrix range     [1e+00, 7e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 8e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 7.0000000
Presolve removed 623 rows and 0 columns
Presolve time: 0.00s
Presolved: 264 rows, 121 columns, 800 nonzeros
Variable types: 0 continuous, 121 integer (120 binary)

Root relaxation: objective 4.210526e-01, 114 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.42105    0   77    7.00000    0.42105  94.0%     -    0s
H    0     0                       6.0000000    0.42105  93.0%     -    0s
H    0     0                       5.0000000    0.42105  91.6%     -    0s
H    0     0                       4.0000000    0.42105  89.5%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 1
  MIR: 3
  Zero half: 2
  RLT: 15
  Relax-and-lift: 12

Explored 1 nodes (238 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 7

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 887 rows, 121 columns and 1849 nonzeros
Model fingerprint: 0x7b5b79ac
Variable types: 1 continuous, 120 integer (120 binary)
Coefficient statistics:
  Matrix range     [1e+00, 7e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 8e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 7.0000000
Presolve removed 623 rows and 0 columns
Presolve time: 0.00s
Presolved: 264 rows, 121 columns, 800 nonzeros
Variable types: 0 continuous, 121 integer (120 binary)

Root relaxation: objective 4.210526e-01, 114 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.42105    0   77    7.00000    0.42105  94.0%     -    0s
H    0     0                       6.0000000    0.42105  93.0%     -    0s
H    0     0                       5.0000000    0.42105  91.6%     -    0s
H    0     0                       4.0000000    0.42105  89.5%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 1
  MIR: 3
  Zero half: 2
  RLT: 15
  Relax-and-lift: 12

Explored 1 nodes (238 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 7

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 887 rows, 121 columns and 1849 nonzeros
Model fingerprint: 0x7b5b79ac
Variable types: 1 continuous, 120 integer (120 binary)
Coefficient statistics:
  Matrix range     [1e+00, 7e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 8e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 7.0000000
Presolve removed 623 rows and 0 columns
Presolve time: 0.00s
Presolved: 264 rows, 121 columns, 800 nonzeros
Variable types: 0 continuous, 121 integer (120 binary)

Root relaxation: objective 4.210526e-01, 114 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.42105    0   77    7.00000    0.42105  94.0%     -    0s
H    0     0                       6.0000000    0.42105  93.0%     -    0s
H    0     0                       5.0000000    0.42105  91.6%     -    0s
H    0     0                       4.0000000    0.42105  89.5%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 1
  MIR: 3
  Zero half: 2
  RLT: 15
  Relax-and-lift: 12

Explored 1 nodes (238 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 7

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1065 rows, 151 columns and 2235 nonzeros
Model fingerprint: 0xba9fd970
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 763 rows and 0 columns
Presolve time: 0.00s
Presolved: 302 rows, 151 columns, 951 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 5.519054e-01, 126 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.55191    0   71    9.00000    0.55191  93.9%     -    0s
H    0     0                       6.0000000    0.55191  90.8%     -    0s
H    0     0                       5.0000000    0.55191  89.0%     -    0s
H    0     0                       4.0000000    0.55191  86.2%     -    0s
H    0     0                       3.0000000    0.55191  81.6%     -    0s
     0     0 infeasible    0         3.00000    3.00000  0.00%     -    0s

Cutting planes:
  Zero half: 2
  RLT: 15
  Relax-and-lift: 4

Explored 1 nodes (313 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 5: 3 4 5 ... 9

Optimal solution found (tolerance 1.00e-04)
Best objective 3.000000000000e+00, best bound 3.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1065 rows, 151 columns and 2235 nonzeros
Model fingerprint: 0xba9fd970
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 763 rows and 0 columns
Presolve time: 0.00s
Presolved: 302 rows, 151 columns, 951 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 5.519054e-01, 126 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.55191    0   71    9.00000    0.55191  93.9%     -    0s
H    0     0                       6.0000000    0.55191  90.8%     -    0s
H    0     0                       5.0000000    0.55191  89.0%     -    0s
H    0     0                       4.0000000    0.55191  86.2%     -    0s
H    0     0                       3.0000000    0.55191  81.6%     -    0s
     0     0 infeasible    0         3.00000    3.00000  0.00%     -    0s

Cutting planes:
  Zero half: 2
  RLT: 15
  Relax-and-lift: 4

Explored 1 nodes (313 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 5: 3 4 5 ... 9

Optimal solution found (tolerance 1.00e-04)
Best objective 3.000000000000e+00, best bound 3.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1065 rows, 151 columns and 2235 nonzeros
Model fingerprint: 0xba9fd970
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 763 rows and 0 columns
Presolve time: 0.00s
Presolved: 302 rows, 151 columns, 951 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 5.519054e-01, 126 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.55191    0   71    9.00000    0.55191  93.9%     -    0s
H    0     0                       6.0000000    0.55191  90.8%     -    0s
H    0     0                       5.0000000    0.55191  89.0%     -    0s
H    0     0                       4.0000000    0.55191  86.2%     -    0s
H    0     0                       3.0000000    0.55191  81.6%     -    0s
     0     0 infeasible    0         3.00000    3.00000  0.00%     -    0s

Cutting planes:
  Zero half: 2
  RLT: 15
  Relax-and-lift: 4

Explored 1 nodes (313 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 5: 3 4 5 ... 9

Optimal solution found (tolerance 1.00e-04)
Best objective 3.000000000000e+00, best bound 3.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1145 rows, 151 columns and 2395 nonzeros
Model fingerprint: 0x961913fb
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 812 rows and 0 columns
Presolve time: 0.01s
Presolved: 333 rows, 151 columns, 1085 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 5.519054e-01, 148 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.55191    0   75    9.00000    0.55191  93.9%     -    0s
H    0     0                       5.0000000    0.55191  89.0%     -    0s
H    0     0                       4.0000000    0.55191  86.2%     -    0s
     0     0    1.63636    0   40    4.00000    1.63636  59.1%     -    0s
*    0     0               0       3.0000000    3.00000  0.00%     -    0s

Explored 1 nodes (497 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 3 4 5 9

Optimal solution found (tolerance 1.00e-04)
Best objective 3.000000000000e+00, best bound 3.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1145 rows, 151 columns and 2395 nonzeros
Model fingerprint: 0x961913fb
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 812 rows and 0 columns
Presolve time: 0.01s
Presolved: 333 rows, 151 columns, 1085 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 5.519054e-01, 148 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.55191    0   75    9.00000    0.55191  93.9%     -    0s
H    0     0                       5.0000000    0.55191  89.0%     -    0s
H    0     0                       4.0000000    0.55191  86.2%     -    0s
     0     0    1.63636    0   40    4.00000    1.63636  59.1%     -    0s
*    0     0               0       3.0000000    3.00000  0.00%     -    0s

Explored 1 nodes (497 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 3 4 5 9

Optimal solution found (tolerance 1.00e-04)
Best objective 3.000000000000e+00, best bound 3.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1145 rows, 151 columns and 2395 nonzeros
Model fingerprint: 0x961913fb
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 812 rows and 0 columns
Presolve time: 0.01s
Presolved: 333 rows, 151 columns, 1085 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 5.519054e-01, 148 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.55191    0   75    9.00000    0.55191  93.9%     -    0s
H    0     0                       5.0000000    0.55191  89.0%     -    0s
H    0     0                       4.0000000    0.55191  86.2%     -    0s
     0     0    1.63636    0   40    4.00000    1.63636  59.1%     -    0s
*    0     0               0       3.0000000    3.00000  0.00%     -    0s

Explored 1 nodes (497 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 3 4 5 9

Optimal solution found (tolerance 1.00e-04)
Best objective 3.000000000000e+00, best bound 3.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1305 rows, 151 columns and 2715 nonzeros
Model fingerprint: 0x44dfee8f
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 991 rows and 0 columns
Presolve time: 0.01s
Presolved: 314 rows, 151 columns, 1064 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 5.379443e-01, 153 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.53794    0   74    9.00000    0.53794  94.0%     -    0s
H    0     0                       7.0000000    0.53794  92.3%     -    0s
H    0     0                       6.0000000    0.53794  91.0%     -    0s
H    0     0                       4.0000000    0.53794  86.6%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Clique: 1
  MIR: 1
  StrongCG: 1
  Zero half: 3
  RLT: 12
  Relax-and-lift: 14

Explored 1 nodes (418 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 6 7 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1305 rows, 151 columns and 2715 nonzeros
Model fingerprint: 0x44dfee8f
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 991 rows and 0 columns
Presolve time: 0.01s
Presolved: 314 rows, 151 columns, 1064 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 5.379443e-01, 153 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.53794    0   74    9.00000    0.53794  94.0%     -    0s
H    0     0                       7.0000000    0.53794  92.3%     -    0s
H    0     0                       6.0000000    0.53794  91.0%     -    0s
H    0     0                       4.0000000    0.53794  86.6%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Clique: 1
  MIR: 1
  StrongCG: 1
  Zero half: 3
  RLT: 12
  Relax-and-lift: 14

Explored 1 nodes (418 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 6 7 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1305 rows, 151 columns and 2715 nonzeros
Model fingerprint: 0x44dfee8f
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 991 rows and 0 columns
Presolve time: 0.01s
Presolved: 314 rows, 151 columns, 1064 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 5.379443e-01, 153 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.53794    0   74    9.00000    0.53794  94.0%     -    0s
H    0     0                       7.0000000    0.53794  92.3%     -    0s
H    0     0                       6.0000000    0.53794  91.0%     -    0s
H    0     0                       4.0000000    0.53794  86.6%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Clique: 1
  MIR: 1
  StrongCG: 1
  Zero half: 3
  RLT: 12
  Relax-and-lift: 14

Explored 1 nodes (418 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 6 7 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1325 rows, 151 columns and 2755 nonzeros
Model fingerprint: 0xcd8b72d7
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 1003 rows and 0 columns
Presolve time: 0.01s
Presolved: 322 rows, 151 columns, 1101 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 5.519054e-01, 122 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.55191    0   79    9.00000    0.55191  93.9%     -    0s
H    0     0                       7.0000000    0.55191  92.1%     -    0s
H    0     0                       6.0000000    0.55191  90.8%     -    0s
H    0     0                       4.0000000    0.55191  86.2%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 4
  Clique: 2
  Zero half: 5
  RLT: 12
  Relax-and-lift: 10

Explored 1 nodes (318 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 6 7 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1325 rows, 151 columns and 2755 nonzeros
Model fingerprint: 0xcd8b72d7
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 1003 rows and 0 columns
Presolve time: 0.01s
Presolved: 322 rows, 151 columns, 1101 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 5.519054e-01, 122 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.55191    0   79    9.00000    0.55191  93.9%     -    0s
H    0     0                       7.0000000    0.55191  92.1%     -    0s
H    0     0                       6.0000000    0.55191  90.8%     -    0s
H    0     0                       4.0000000    0.55191  86.2%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 4
  Clique: 2
  Zero half: 5
  RLT: 12
  Relax-and-lift: 10

Explored 1 nodes (318 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 6 7 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1325 rows, 151 columns and 2755 nonzeros
Model fingerprint: 0xcd8b72d7
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 1003 rows and 0 columns
Presolve time: 0.01s
Presolved: 322 rows, 151 columns, 1101 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 5.519054e-01, 122 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.55191    0   79    9.00000    0.55191  93.9%     -    0s
H    0     0                       7.0000000    0.55191  92.1%     -    0s
H    0     0                       6.0000000    0.55191  90.8%     -    0s
H    0     0                       4.0000000    0.55191  86.2%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 4
  Clique: 2
  Zero half: 5
  RLT: 12
  Relax-and-lift: 10

Explored 1 nodes (318 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 6 7 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1050 rows, 136 columns and 2190 nonzeros
Model fingerprint: 0x05c897c1
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 755 rows and 0 columns
Presolve time: 0.00s
Presolved: 295 rows, 136 columns, 936 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.566600e-01, 171 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.55666    0   77    8.00000    0.55666  93.0%     -    0s
H    0     0                       5.0000000    0.55666  88.9%     -    0s
H    0     0                       4.0000000    0.55666  86.1%     -    0s
H    0     0                       3.0000000    0.55666  81.4%     -    0s
     0     0 infeasible    0         3.00000    3.00000  0.00%     -    0s

Cutting planes:
  Clique: 2
  Zero half: 3
  RLT: 20
  Relax-and-lift: 4

Explored 1 nodes (341 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 3 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 3.000000000000e+00, best bound 3.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1050 rows, 136 columns and 2190 nonzeros
Model fingerprint: 0x05c897c1
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 755 rows and 0 columns
Presolve time: 0.00s
Presolved: 295 rows, 136 columns, 936 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.566600e-01, 171 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.55666    0   77    8.00000    0.55666  93.0%     -    0s
H    0     0                       5.0000000    0.55666  88.9%     -    0s
H    0     0                       4.0000000    0.55666  86.1%     -    0s
H    0     0                       3.0000000    0.55666  81.4%     -    0s
     0     0 infeasible    0         3.00000    3.00000  0.00%     -    0s

Cutting planes:
  Clique: 2
  Zero half: 3
  RLT: 20
  Relax-and-lift: 4

Explored 1 nodes (341 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 3 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 3.000000000000e+00, best bound 3.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1050 rows, 136 columns and 2190 nonzeros
Model fingerprint: 0x05c897c1
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 755 rows and 0 columns
Presolve time: 0.00s
Presolved: 295 rows, 136 columns, 936 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)

Root relaxation: objective 5.566600e-01, 171 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.55666    0   77    8.00000    0.55666  93.0%     -    0s
H    0     0                       5.0000000    0.55666  88.9%     -    0s
H    0     0                       4.0000000    0.55666  86.1%     -    0s
H    0     0                       3.0000000    0.55666  81.4%     -    0s
     0     0 infeasible    0         3.00000    3.00000  0.00%     -    0s

Cutting planes:
  Clique: 2
  Zero half: 3
  RLT: 20
  Relax-and-lift: 4

Explored 1 nodes (341 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 3 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 3.000000000000e+00, best bound 3.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1145 rows, 151 columns and 2395 nonzeros
Model fingerprint: 0xc6913562
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 853 rows and 0 columns
Presolve time: 0.01s
Presolved: 292 rows, 151 columns, 971 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 5.519054e-01, 130 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.55191    0   78    9.00000    0.55191  93.9%     -    0s
H    0     0                       6.0000000    0.55191  90.8%     -    0s
H    0     0                       5.0000000    0.55191  89.0%     -    0s
H    0     0                       4.0000000    0.55191  86.2%     -    0s
     0     0    1.75000    0   48    4.00000    1.75000  56.2%     -    0s
     0     0    3.00000    0   28    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   33    4.00000    3.00000  25.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 2
  Clique: 3
  Zero half: 2

Explored 1 nodes (560 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1145 rows, 151 columns and 2395 nonzeros
Model fingerprint: 0xc6913562
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 853 rows and 0 columns
Presolve time: 0.01s
Presolved: 292 rows, 151 columns, 971 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 5.519054e-01, 130 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.55191    0   78    9.00000    0.55191  93.9%     -    0s
H    0     0                       6.0000000    0.55191  90.8%     -    0s
H    0     0                       5.0000000    0.55191  89.0%     -    0s
H    0     0                       4.0000000    0.55191  86.2%     -    0s
     0     0    1.75000    0   48    4.00000    1.75000  56.2%     -    0s
     0     0    3.00000    0   28    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   33    4.00000    3.00000  25.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 2
  Clique: 3
  Zero half: 2

Explored 1 nodes (560 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 1
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1145 rows, 151 columns and 2395 nonzeros
Model fingerprint: 0xc6913562
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 853 rows and 0 columns
Presolve time: 0.01s
Presolved: 292 rows, 151 columns, 971 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)

Root relaxation: objective 5.519054e-01, 130 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.55191    0   78    9.00000    0.55191  93.9%     -    0s
H    0     0                       6.0000000    0.55191  90.8%     -    0s
H    0     0                       5.0000000    0.55191  89.0%     -    0s
H    0     0                       4.0000000    0.55191  86.2%     -    0s
     0     0    1.75000    0   48    4.00000    1.75000  56.2%     -    0s
     0     0    3.00000    0   28    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   33    4.00000    3.00000  25.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 2
  Clique: 3
  Zero half: 2

Explored 1 nodes (560 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1491 rows, 181 columns and 3117 nonzeros
Model fingerprint: 0x1605ef4a
Variable types: 1 continuous, 180 integer (180 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 11.0000000
Presolve removed 1166 rows and 0 columns
Presolve time: 0.01s
Presolved: 325 rows, 181 columns, 1213 nonzeros
Variable types: 0 continuous, 181 integer (180 binary)
Root relaxation presolve removed 26 rows and 15 columns
Root relaxation presolved: 299 rows, 166 columns, 1111 nonzeros


Root relaxation: objective 1.000000e+00, 182 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   46   11.00000    1.00000  90.9%     -    0s
H    0     0                       7.0000000    1.00000  85.7%     -    0s
H    0     0                       6.0000000    1.00000  83.3%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
     0     0 infeasible    0         5.00000    5.00000  0.00%     -    0s

Cutting planes:
  Gomory: 22
  Implied bound: 11
  Projected implied bound: 5
  MIR: 9
  StrongCG: 2
  Zero half: 7
  RLT: 11
  Relax-and-lift: 7

Explored 1 nodes (525 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 5 6 7 11

Optimal solution found (tolerance 1.00e-04)
Best objective 5.000000000000e+00, best bound 5.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1491 rows, 181 columns and 3117 nonzeros
Model fingerprint: 0x1605ef4a
Variable types: 1 continuous, 180 integer (180 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 11.0000000
Presolve removed 1166 rows and 0 columns
Presolve time: 0.01s
Presolved: 325 rows, 181 columns, 1213 nonzeros
Variable types: 0 continuous, 181 integer (180 binary)
Root relaxation presolve removed 26 rows and 15 columns
Root relaxation presolved: 299 rows, 166 columns, 1111 nonzeros


Root relaxation: objective 1.000000e+00, 182 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   46   11.00000    1.00000  90.9%     -    0s
H    0     0                       7.0000000    1.00000  85.7%     -    0s
H    0     0                       6.0000000    1.00000  83.3%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
     0     0 infeasible    0         5.00000    5.00000  0.00%     -    0s

Cutting planes:
  Gomory: 22
  Implied bound: 11
  Projected implied bound: 5
  MIR: 9
  StrongCG: 2
  Zero half: 7
  RLT: 11
  Relax-and-lift: 7

Explored 1 nodes (525 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 5 6 7 11

Optimal solution found (tolerance 1.00e-04)
Best objective 5.000000000000e+00, best bound 5.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1491 rows, 181 columns and 3117 nonzeros
Model fingerprint: 0x1605ef4a
Variable types: 1 continuous, 180 integer (180 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 11.0000000
Presolve removed 1166 rows and 0 columns
Presolve time: 0.01s
Presolved: 325 rows, 181 columns, 1213 nonzeros
Variable types: 0 continuous, 181 integer (180 binary)
Root relaxation presolve removed 26 rows and 15 columns
Root relaxation presolved: 299 rows, 166 columns, 1111 nonzeros


Root relaxation: objective 1.000000e+00, 182 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   46   11.00000    1.00000  90.9%     -    0s
H    0     0                       7.0000000    1.00000  85.7%     -    0s
H    0     0                       6.0000000    1.00000  83.3%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
     0     0 infeasible    0         5.00000    5.00000  0.00%     -    0s

Cutting planes:
  Gomory: 22
  Implied bound: 11
  Projected implied bound: 5
  MIR: 9
  StrongCG: 2
  Zero half: 7
  RLT: 11
  Relax-and-lift: 7

Explored 1 nodes (525 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 5 6 7 11

Optimal solution found (tolerance 1.00e-04)
Best objective 5.000000000000e+00, best bound 5.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1491 rows, 181 columns and 3117 nonzeros
Model fingerprint: 0xf8d59c69
Variable types: 1 continuous, 180 integer (180 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 11.0000000
Presolve removed 1178 rows and 0 columns
Presolve time: 0.01s
Presolved: 313 rows, 181 columns, 1180 nonzeros
Variable types: 0 continuous, 181 integer (180 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 288 rows, 166 columns, 1081 nonzeros


Root relaxation: objective 1.000000e+00, 109 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   48   11.00000    1.00000  90.9%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 14
  Implied bound: 10
  Projected implied bound: 6
  MIR: 2
  Zero half: 18
  RLT: 14
  Relax-and-lift: 2

Explored 1 nodes (516 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 11

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1491 rows, 181 columns and 3117 nonzeros
Model fingerprint: 0xf8d59c69
Variable types: 1 continuous, 180 integer (180 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 11.0000000
Presolve removed 1178 rows and 0 columns
Presolve time: 0.01s
Presolved: 313 rows, 181 columns, 1180 nonzeros
Variable types: 0 continuous, 181 integer (180 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 288 rows, 166 columns, 1081 nonzeros


Root relaxation: objective 1.000000e+00, 109 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   48   11.00000    1.00000  90.9%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 14
  Implied bound: 10
  Projected implied bound: 6
  MIR: 2
  Zero half: 18
  RLT: 14
  Relax-and-lift: 2

Explored 1 nodes (516 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 11

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1491 rows, 181 columns and 3117 nonzeros
Model fingerprint: 0xf8d59c69
Variable types: 1 continuous, 180 integer (180 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 11.0000000
Presolve removed 1178 rows and 0 columns
Presolve time: 0.01s
Presolved: 313 rows, 181 columns, 1180 nonzeros
Variable types: 0 continuous, 181 integer (180 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 288 rows, 166 columns, 1081 nonzeros


Root relaxation: objective 1.000000e+00, 109 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   48   11.00000    1.00000  90.9%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 14
  Implied bound: 10
  Projected implied bound: 6
  MIR: 2
  Zero half: 18
  RLT: 14
  Relax-and-lift: 2

Explored 1 nodes (516 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 11

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1346 rows, 166 columns and 2812 nonzeros
Model fingerprint: 0xcee11e47
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1049 rows and 0 columns
Presolve time: 0.01s
Presolved: 297 rows, 166 columns, 1089 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)
Root relaxation presolve removed 24 rows and 15 columns
Root relaxation presolved: 273 rows, 151 columns, 992 nonzeros


Root relaxation: objective 1.000000e+00, 141 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   39   10.00000    1.00000  90.0%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 15
  Implied bound: 10
  Projected implied bound: 9
  Zero half: 12
  RLT: 14
  Relax-and-lift: 7

Explored 1 nodes (260 simplex iterations) in 0.02 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 10

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1346 rows, 166 columns and 2812 nonzeros
Model fingerprint: 0xcee11e47
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1049 rows and 0 columns
Presolve time: 0.01s
Presolved: 297 rows, 166 columns, 1089 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)
Root relaxation presolve removed 24 rows and 15 columns
Root relaxation presolved: 273 rows, 151 columns, 992 nonzeros


Root relaxation: objective 1.000000e+00, 141 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   39   10.00000    1.00000  90.0%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 15
  Implied bound: 10
  Projected implied bound: 9
  Zero half: 12
  RLT: 14
  Relax-and-lift: 7

Explored 1 nodes (260 simplex iterations) in 0.02 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 10

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1346 rows, 166 columns and 2812 nonzeros
Model fingerprint: 0xcee11e47
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1049 rows and 0 columns
Presolve time: 0.01s
Presolved: 297 rows, 166 columns, 1089 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)
Root relaxation presolve removed 24 rows and 15 columns
Root relaxation presolved: 273 rows, 151 columns, 992 nonzeros


Root relaxation: objective 1.000000e+00, 141 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   39   10.00000    1.00000  90.0%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 15
  Implied bound: 10
  Projected implied bound: 9
  Zero half: 12
  RLT: 14
  Relax-and-lift: 7

Explored 1 nodes (260 simplex iterations) in 0.02 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 10

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1302 rows, 166 columns and 2724 nonzeros
Model fingerprint: 0x89f35471
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 938 rows and 0 columns
Presolve time: 0.01s
Presolved: 364 rows, 166 columns, 1263 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)
Root relaxation presolve removed 29 rows and 15 columns
Root relaxation presolved: 335 rows, 151 columns, 1150 nonzeros


Root relaxation: objective 1.000000e+00, 124 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   52   10.00000    1.00000  90.0%     -    0s
H    0     0                       7.0000000    1.00000  85.7%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0    2.00000    0   14    4.00000    2.00000  50.0%     -    0s
H    0     0                       3.0000000    2.00000  33.3%     -    0s
     0     0     cutoff    0         3.00000    3.00000  0.00%     -    0s

Explored 1 nodes (482 simplex iterations) in 0.04 seconds (0.03 work units)
Thread count was 2 (of 2 available processors)

Solution count 5: 3 4 5 ... 10

Optimal solution found (tolerance 1.00e-04)
Best objective 3.000000000000e+00, best bound 3.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1302 rows, 166 columns and 2724 nonzeros
Model fingerprint: 0x89f35471
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 938 rows and 0 columns
Presolve time: 0.01s
Presolved: 364 rows, 166 columns, 1263 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)
Root relaxation presolve removed 29 rows and 15 columns
Root relaxation presolved: 335 rows, 151 columns, 1150 nonzeros


Root relaxation: objective 1.000000e+00, 124 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   52   10.00000    1.00000  90.0%     -    0s
H    0     0                       7.0000000    1.00000  85.7%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0    2.00000    0   14    4.00000    2.00000  50.0%     -    0s
H    0     0                       3.0000000    2.00000  33.3%     -    0s
     0     0     cutoff    0         3.00000    3.00000  0.00%     -    0s

Explored 1 nodes (482 simplex iterations) in 0.04 seconds (0.03 work units)
Thread count was 2 (of 2 available processors)

Solution count 5: 3 4 5 ... 10

Optimal solution found (tolerance 1.00e-04)
Best objective 3.000000000000e+00, best bound 3.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1302 rows, 166 columns and 2724 nonzeros
Model fingerprint: 0x89f35471
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 938 rows and 0 columns
Presolve time: 0.01s
Presolved: 364 rows, 166 columns, 1263 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)
Root relaxation presolve removed 29 rows and 15 columns
Root relaxation presolved: 335 rows, 151 columns, 1150 nonzeros


Root relaxation: objective 1.000000e+00, 124 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   52   10.00000    1.00000  90.0%     -    0s
H    0     0                       7.0000000    1.00000  85.7%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0    2.00000    0   14    4.00000    2.00000  50.0%     -    0s
H    0     0                       3.0000000    2.00000  33.3%     -    0s
     0     0     cutoff    0         3.00000    3.00000  0.00%     -    0s

Explored 1 nodes (482 simplex iterations) in 0.04 seconds (0.03 work units)
Thread count was 2 (of 2 available processors)

Solution count 5: 3 4 5 ... 10

Optimal solution found (tolerance 1.00e-04)
Best objective 3.000000000000e+00, best bound 3.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1165 rows, 151 columns and 2435 nonzeros
Model fingerprint: 0x734d3894
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 873 rows and 0 columns
Presolve time: 0.01s
Presolved: 292 rows, 151 columns, 1033 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)
Root relaxation presolve removed 26 rows and 15 columns
Root relaxation presolved: 266 rows, 136 columns, 932 nonzeros


Root relaxation: objective 5.591613e-01, 117 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.55916    0   84    9.00000    0.55916  93.8%     -    0s
H    0     0                       5.0000000    0.55916  88.8%     -    0s
     0     0    2.10526    0   47    5.00000    2.10526  57.9%     -    0s
H    0     0                       4.0000000    2.10526  47.4%     -    0s
     0     0     cutoff    0         4.00000    4.00000  0.00%     -    0s

Explored 1 nodes (543 simplex iterations) in 0.04 seconds (0.03 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1165 rows, 151 columns and 2435 nonzeros
Model fingerprint: 0x734d3894
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 873 rows and 0 columns
Presolve time: 0.01s
Presolved: 292 rows, 151 columns, 1033 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)
Root relaxation presolve removed 26 rows and 15 columns
Root relaxation presolved: 266 rows, 136 columns, 932 nonzeros


Root relaxation: objective 5.591613e-01, 117 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.55916    0   84    9.00000    0.55916  93.8%     -    0s
H    0     0                       5.0000000    0.55916  88.8%     -    0s
     0     0    2.10526    0   47    5.00000    2.10526  57.9%     -    0s
H    0     0                       4.0000000    2.10526  47.4%     -    0s
     0     0     cutoff    0         4.00000    4.00000  0.00%     -    0s

Explored 1 nodes (543 simplex iterations) in 0.04 seconds (0.03 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1165 rows, 151 columns and 2435 nonzeros
Model fingerprint: 0x734d3894
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 873 rows and 0 columns
Presolve time: 0.01s
Presolved: 292 rows, 151 columns, 1033 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)
Root relaxation presolve removed 26 rows and 15 columns
Root relaxation presolved: 266 rows, 136 columns, 932 nonzeros


Root relaxation: objective 5.591613e-01, 117 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.55916    0   84    9.00000    0.55916  93.8%     -    0s
H    0     0                       5.0000000    0.55916  88.8%     -    0s
     0     0    2.10526    0   47    5.00000    2.10526  57.9%     -    0s
H    0     0                       4.0000000    2.10526  47.4%     -    0s
     0     0     cutoff    0         4.00000    4.00000  0.00%     -    0s

Explored 1 nodes (543 simplex iterations) in 0.04 seconds (0.03 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 839 rows, 121 columns and 1753 nonzeros
Model fingerprint: 0xdcd17a53
Variable types: 1 continuous, 120 integer (120 binary)
Coefficient statistics:
  Matrix range     [1e+00, 7e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 8e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 7.0000000
Presolve removed 609 rows and 0 columns
Presolve time: 0.01s
Presolved: 230 rows, 121 columns, 742 nonzeros
Variable types: 0 continuous, 121 integer (120 binary)
Root relaxation presolve removed 21 rows and 15 columns
Root relaxation presolved: 209 rows, 106 columns, 657 nonzeros


Root relaxation: objective 1.500000e+00, 91 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.50000    0   31    7.00000    1.50000  78.6%     -    0s
H    0     0                       4.0000000    1.50000  62.5%     -    0s
H    0     0                       3.0000000    1.50000  50.0%     -    0s
     0     0 infeasible    0         3.00000    3.00000  0.00%     -    0s

Cutting planes:
  RLT: 12

Explored 1 nodes (225 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 3 4 7

Optimal solution found (tolerance 1.00e-04)
Best objective 3.000000000000e+00, best bound 3.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 839 rows, 121 columns and 1753 nonzeros
Model fingerprint: 0xdcd17a53
Variable types: 1 continuous, 120 integer (120 binary)
Coefficient statistics:
  Matrix range     [1e+00, 7e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 8e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 7.0000000
Presolve removed 609 rows and 0 columns
Presolve time: 0.01s
Presolved: 230 rows, 121 columns, 742 nonzeros
Variable types: 0 continuous, 121 integer (120 binary)
Root relaxation presolve removed 21 rows and 15 columns
Root relaxation presolved: 209 rows, 106 columns, 657 nonzeros


Root relaxation: objective 1.500000e+00, 91 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.50000    0   31    7.00000    1.50000  78.6%     -    0s
H    0     0                       4.0000000    1.50000  62.5%     -    0s
H    0     0                       3.0000000    1.50000  50.0%     -    0s
     0     0 infeasible    0         3.00000    3.00000  0.00%     -    0s

Cutting planes:
  RLT: 12

Explored 1 nodes (225 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 3 4 7

Optimal solution found (tolerance 1.00e-04)
Best objective 3.000000000000e+00, best bound 3.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 839 rows, 121 columns and 1753 nonzeros
Model fingerprint: 0xdcd17a53
Variable types: 1 continuous, 120 integer (120 binary)
Coefficient statistics:
  Matrix range     [1e+00, 7e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 8e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 7.0000000
Presolve removed 609 rows and 0 columns
Presolve time: 0.01s
Presolved: 230 rows, 121 columns, 742 nonzeros
Variable types: 0 continuous, 121 integer (120 binary)
Root relaxation presolve removed 21 rows and 15 columns
Root relaxation presolved: 209 rows, 106 columns, 657 nonzeros


Root relaxation: objective 1.500000e+00, 91 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.50000    0   31    7.00000    1.50000  78.6%     -    0s
H    0     0                       4.0000000    1.50000  62.5%     -    0s
H    0     0                       3.0000000    1.50000  50.0%     -    0s
     0     0 infeasible    0         3.00000    3.00000  0.00%     -    0s

Cutting planes:
  RLT: 12

Explored 1 nodes (225 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 3 4 7

Optimal solution found (tolerance 1.00e-04)
Best objective 3.000000000000e+00, best bound 3.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1324 rows, 166 columns and 2768 nonzeros
Model fingerprint: 0xad1c7a43
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1021 rows and 0 columns
Presolve time: 0.01s
Presolved: 303 rows, 166 columns, 1107 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)
Root relaxation presolve removed 23 rows and 15 columns
Root relaxation presolved: 280 rows, 151 columns, 1010 nonzeros


Root relaxation: objective 1.000000e+00, 145 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   39   10.00000    1.00000  90.0%     -    0s
H    0     0                       7.0000000    1.00000  85.7%     -    0s
H    0     0                       6.0000000    1.00000  83.3%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
     0     0 infeasible    0         5.00000    5.00000  0.00%     -    0s

Cutting planes:
  Gomory: 16
  Implied bound: 10
  Projected implied bound: 4
  MIR: 4
  Zero half: 4
  RLT: 10
  Relax-and-lift: 4

Explored 1 nodes (473 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 5 6 7 10

Optimal solution found (tolerance 1.00e-04)
Best objective 5.000000000000e+00, best bound 5.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1324 rows, 166 columns and 2768 nonzeros
Model fingerprint: 0xad1c7a43
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1021 rows and 0 columns
Presolve time: 0.01s
Presolved: 303 rows, 166 columns, 1107 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)
Root relaxation presolve removed 23 rows and 15 columns
Root relaxation presolved: 280 rows, 151 columns, 1010 nonzeros


Root relaxation: objective 1.000000e+00, 145 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   39   10.00000    1.00000  90.0%     -    0s
H    0     0                       7.0000000    1.00000  85.7%     -    0s
H    0     0                       6.0000000    1.00000  83.3%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
     0     0 infeasible    0         5.00000    5.00000  0.00%     -    0s

Cutting planes:
  Gomory: 16
  Implied bound: 10
  Projected implied bound: 4
  MIR: 4
  Zero half: 4
  RLT: 10
  Relax-and-lift: 4

Explored 1 nodes (473 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 5 6 7 10

Optimal solution found (tolerance 1.00e-04)
Best objective 5.000000000000e+00, best bound 5.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1324 rows, 166 columns and 2768 nonzeros
Model fingerprint: 0xad1c7a43
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1021 rows and 0 columns
Presolve time: 0.01s
Presolved: 303 rows, 166 columns, 1107 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)
Root relaxation presolve removed 23 rows and 15 columns
Root relaxation presolved: 280 rows, 151 columns, 1010 nonzeros


Root relaxation: objective 1.000000e+00, 145 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   39   10.00000    1.00000  90.0%     -    0s
H    0     0                       7.0000000    1.00000  85.7%     -    0s
H    0     0                       6.0000000    1.00000  83.3%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
     0     0 infeasible    0         5.00000    5.00000  0.00%     -    0s

Cutting planes:
  Gomory: 16
  Implied bound: 10
  Projected implied bound: 4
  MIR: 4
  Zero half: 4
  RLT: 10
  Relax-and-lift: 4

Explored 1 nodes (473 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 5 6 7 10

Optimal solution found (tolerance 1.00e-04)
Best objective 5.000000000000e+00, best bound 5.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1104 rows, 136 columns and 2298 nonzeros
Model fingerprint: 0x4b8e8e90
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 835 rows and 0 columns
Presolve time: 0.01s
Presolved: 269 rows, 136 columns, 940 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 27 rows and 15 columns
Root relaxation presolved: 242 rows, 121 columns, 836 nonzeros


Root relaxation: objective 1.000000e+00, 145 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   41    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0    3.00000    0   36    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   36    4.00000    3.00000  25.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 11
  Clique: 7
  Zero half: 27

Explored 1 nodes (792 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1104 rows, 136 columns and 2298 nonzeros
Model fingerprint: 0x4b8e8e90
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 835 rows and 0 columns
Presolve time: 0.01s
Presolved: 269 rows, 136 columns, 940 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 27 rows and 15 columns
Root relaxation presolved: 242 rows, 121 columns, 836 nonzeros


Root relaxation: objective 1.000000e+00, 145 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   41    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0    3.00000    0   36    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   36    4.00000    3.00000  25.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 11
  Clique: 7
  Zero half: 27

Explored 1 nodes (792 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1104 rows, 136 columns and 2298 nonzeros
Model fingerprint: 0x4b8e8e90
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 835 rows and 0 columns
Presolve time: 0.01s
Presolved: 269 rows, 136 columns, 940 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 27 rows and 15 columns
Root relaxation presolved: 242 rows, 121 columns, 836 nonzeros


Root relaxation: objective 1.000000e+00, 145 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   41    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0    3.00000    0   36    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   36    4.00000    3.00000  25.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 11
  Clique: 7
  Zero half: 27

Explored 1 nodes (792 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1050 rows, 136 columns and 2190 nonzeros
Model fingerprint: 0xb5b4288f
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 745 rows and 0 columns
Presolve time: 0.01s
Presolved: 305 rows, 136 columns, 982 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 32 rows and 15 columns
Root relaxation presolved: 273 rows, 121 columns, 873 nonzeros


Root relaxation: objective 5.785124e-01, 136 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   75    8.00000    0.57851  92.8%     -    0s
H    0     0                       6.0000000    0.57851  90.4%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
H    0     0                       4.0000000    0.57851  85.5%     -    0s
H    0     0                       3.0000000    0.57851  80.7%     -    0s
     0     0 infeasible    0         3.00000    3.00000  0.00%     -    0s

Cutting planes:
  Gomory: 9
  Implied bound: 11
  Projected implied bound: 15
  Clique: 1
  Zero half: 16
  RLT: 19
  Relax-and-lift: 6

Explored 1 nodes (240 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 5: 3 4 5 ... 8

Optimal solution found (tolerance 1.00e-04)
Best objective 3.000000000000e+00, best bound 3.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1050 rows, 136 columns and 2190 nonzeros
Model fingerprint: 0xb5b4288f
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 745 rows and 0 columns
Presolve time: 0.01s
Presolved: 305 rows, 136 columns, 982 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 32 rows and 15 columns
Root relaxation presolved: 273 rows, 121 columns, 873 nonzeros


Root relaxation: objective 5.785124e-01, 136 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   75    8.00000    0.57851  92.8%     -    0s
H    0     0                       6.0000000    0.57851  90.4%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
H    0     0                       4.0000000    0.57851  85.5%     -    0s
H    0     0                       3.0000000    0.57851  80.7%     -    0s
     0     0 infeasible    0         3.00000    3.00000  0.00%     -    0s

Cutting planes:
  Gomory: 9
  Implied bound: 11
  Projected implied bound: 15
  Clique: 1
  Zero half: 16
  RLT: 19
  Relax-and-lift: 6

Explored 1 nodes (240 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 5: 3 4 5 ... 8

Optimal solution found (tolerance 1.00e-04)
Best objective 3.000000000000e+00, best bound 3.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1050 rows, 136 columns and 2190 nonzeros
Model fingerprint: 0xb5b4288f
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 745 rows and 0 columns
Presolve time: 0.01s
Presolved: 305 rows, 136 columns, 982 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 32 rows and 15 columns
Root relaxation presolved: 273 rows, 121 columns, 873 nonzeros


Root relaxation: objective 5.785124e-01, 136 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   75    8.00000    0.57851  92.8%     -    0s
H    0     0                       6.0000000    0.57851  90.4%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
H    0     0                       4.0000000    0.57851  85.5%     -    0s
H    0     0                       3.0000000    0.57851  80.7%     -    0s
     0     0 infeasible    0         3.00000    3.00000  0.00%     -    0s

Cutting planes:
  Gomory: 9
  Implied bound: 11
  Projected implied bound: 15
  Clique: 1
  Zero half: 16
  RLT: 19
  Relax-and-lift: 6

Explored 1 nodes (240 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 5: 3 4 5 ... 8

Optimal solution found (tolerance 1.00e-04)
Best objective 3.000000000000e+00, best bound 3.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1368 rows, 166 columns and 2856 nonzeros
Model fingerprint: 0xaa9be16f
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1065 rows and 0 columns
Presolve time: 0.01s
Presolved: 303 rows, 166 columns, 1118 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)
Root relaxation presolve removed 23 rows and 15 columns
Root relaxation presolved: 280 rows, 151 columns, 1020 nonzeros


Root relaxation: objective 1.500000e+00, 142 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.50000    0   40   10.00000    1.50000  85.0%     -    0s
H    0     0                       6.0000000    1.50000  75.0%     -    0s
H    0     0                       5.0000000    1.50000  70.0%     -    0s
     0     0 infeasible    0         5.00000    5.00000  0.00%     -    0s

Cutting planes:
  Gomory: 7
  Implied bound: 5
  Projected implied bound: 6
  Zero half: 3
  RLT: 6
  Relax-and-lift: 2

Explored 1 nodes (259 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 5 6 10

Optimal solution found (tolerance 1.00e-04)
Best objective 5.000000000000e+00, best bound 5.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1368 rows, 166 columns and 2856 nonzeros
Model fingerprint: 0xaa9be16f
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1065 rows and 0 columns
Presolve time: 0.01s
Presolved: 303 rows, 166 columns, 1118 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)
Root relaxation presolve removed 23 rows and 15 columns
Root relaxation presolved: 280 rows, 151 columns, 1020 nonzeros


Root relaxation: objective 1.500000e+00, 142 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.50000    0   40   10.00000    1.50000  85.0%     -    0s
H    0     0                       6.0000000    1.50000  75.0%     -    0s
H    0     0                       5.0000000    1.50000  70.0%     -    0s
     0     0 infeasible    0         5.00000    5.00000  0.00%     -    0s

Cutting planes:
  Gomory: 7
  Implied bound: 5
  Projected implied bound: 6
  Zero half: 3
  RLT: 6
  Relax-and-lift: 2

Explored 1 nodes (259 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 5 6 10

Optimal solution found (tolerance 1.00e-04)
Best objective 5.000000000000e+00, best bound 5.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1368 rows, 166 columns and 2856 nonzeros
Model fingerprint: 0xaa9be16f
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1065 rows and 0 columns
Presolve time: 0.01s
Presolved: 303 rows, 166 columns, 1118 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)
Root relaxation presolve removed 23 rows and 15 columns
Root relaxation presolved: 280 rows, 151 columns, 1020 nonzeros


Root relaxation: objective 1.500000e+00, 142 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.50000    0   40   10.00000    1.50000  85.0%     -    0s
H    0     0                       6.0000000    1.50000  75.0%     -    0s
H    0     0                       5.0000000    1.50000  70.0%     -    0s
     0     0 infeasible    0         5.00000    5.00000  0.00%     -    0s

Cutting planes:
  Gomory: 7
  Implied bound: 5
  Projected implied bound: 6
  Zero half: 3
  RLT: 6
  Relax-and-lift: 2

Explored 1 nodes (259 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 5 6 10

Optimal solution found (tolerance 1.00e-04)
Best objective 5.000000000000e+00, best bound 5.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1285 rows, 151 columns and 2675 nonzeros
Model fingerprint: 0xd7e5d7ba
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 1005 rows and 0 columns
Presolve time: 0.01s
Presolved: 280 rows, 151 columns, 990 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)
Root relaxation presolve removed 27 rows and 15 columns
Root relaxation presolved: 253 rows, 136 columns, 889 nonzeros


Root relaxation: objective 5.519054e-01, 115 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.55191    0   77    9.00000    0.55191  93.9%     -    0s
H    0     0                       4.0000000    0.55191  86.2%     -    0s
     0     0    2.00000    0   43    4.00000    2.00000  50.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Explored 1 nodes (452 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 2: 4 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1285 rows, 151 columns and 2675 nonzeros
Model fingerprint: 0xd7e5d7ba
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 1005 rows and 0 columns
Presolve time: 0.01s
Presolved: 280 rows, 151 columns, 990 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)
Root relaxation presolve removed 27 rows and 15 columns
Root relaxation presolved: 253 rows, 136 columns, 889 nonzeros


Root relaxation: objective 5.519054e-01, 115 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.55191    0   77    9.00000    0.55191  93.9%     -    0s
H    0     0                       4.0000000    0.55191  86.2%     -    0s
     0     0    2.00000    0   43    4.00000    2.00000  50.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Explored 1 nodes (452 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 2: 4 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1285 rows, 151 columns and 2675 nonzeros
Model fingerprint: 0xd7e5d7ba
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 1005 rows and 0 columns
Presolve time: 0.01s
Presolved: 280 rows, 151 columns, 990 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)
Root relaxation presolve removed 27 rows and 15 columns
Root relaxation presolved: 253 rows, 136 columns, 889 nonzeros


Root relaxation: objective 5.519054e-01, 115 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.55191    0   77    9.00000    0.55191  93.9%     -    0s
H    0     0                       4.0000000    0.55191  86.2%     -    0s
     0     0    2.00000    0   43    4.00000    2.00000  50.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Explored 1 nodes (452 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 2: 4 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1324 rows, 166 columns and 2768 nonzeros
Model fingerprint: 0xd90b139b
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1017 rows and 0 columns
Presolve time: 0.01s
Presolved: 307 rows, 166 columns, 1124 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)
Root relaxation presolve removed 27 rows and 15 columns
Root relaxation presolved: 280 rows, 151 columns, 1020 nonzeros


Root relaxation: objective 1.000000e+00, 114 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   36   10.00000    1.00000  90.0%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 9
  Implied bound: 6
  Projected implied bound: 4
  MIR: 3
  Zero half: 15
  RLT: 9
  Relax-and-lift: 2

Explored 1 nodes (294 simplex iterations) in 0.02 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 10

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1324 rows, 166 columns and 2768 nonzeros
Model fingerprint: 0xd90b139b
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1017 rows and 0 columns
Presolve time: 0.01s
Presolved: 307 rows, 166 columns, 1124 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)
Root relaxation presolve removed 27 rows and 15 columns
Root relaxation presolved: 280 rows, 151 columns, 1020 nonzeros


Root relaxation: objective 1.000000e+00, 114 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   36   10.00000    1.00000  90.0%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 9
  Implied bound: 6
  Projected implied bound: 4
  MIR: 3
  Zero half: 15
  RLT: 9
  Relax-and-lift: 2

Explored 1 nodes (294 simplex iterations) in 0.02 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 10

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1324 rows, 166 columns and 2768 nonzeros
Model fingerprint: 0xd90b139b
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1017 rows and 0 columns
Presolve time: 0.01s
Presolved: 307 rows, 166 columns, 1124 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)
Root relaxation presolve removed 27 rows and 15 columns
Root relaxation presolved: 280 rows, 151 columns, 1020 nonzeros


Root relaxation: objective 1.000000e+00, 114 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   36   10.00000    1.00000  90.0%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 9
  Implied bound: 6
  Projected implied bound: 4
  MIR: 3
  Zero half: 15
  RLT: 9
  Relax-and-lift: 2

Explored 1 nodes (294 simplex iterations) in 0.02 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 10

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1425 rows, 151 columns and 2955 nonzeros
Model fingerprint: 0x8df90598
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 1145 rows and 0 columns
Presolve time: 0.01s
Presolved: 280 rows, 151 columns, 1100 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)
Root relaxation presolve removed 27 rows and 15 columns
Root relaxation presolved: 253 rows, 136 columns, 988 nonzeros


Root relaxation: objective 1.000000e+00, 156 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   43    9.00000    1.00000  88.9%     -    0s
H    0     0                       6.0000000    1.00000  83.3%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
     0     0 infeasible    0         5.00000    5.00000  0.00%     -    0s

Cutting planes:
  Gomory: 14
  Implied bound: 11
  Projected implied bound: 10
  MIR: 2
  Zero half: 16
  RLT: 12
  Relax-and-lift: 4

Explored 1 nodes (399 simplex iterations) in 0.02 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 5 6 9

Optimal solution found (tolerance 1.00e-04)
Best objective 5.000000000000e+00, best bound 5.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1425 rows, 151 columns and 2955 nonzeros
Model fingerprint: 0x8df90598
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 1145 rows and 0 columns
Presolve time: 0.01s
Presolved: 280 rows, 151 columns, 1100 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)
Root relaxation presolve removed 27 rows and 15 columns
Root relaxation presolved: 253 rows, 136 columns, 988 nonzeros


Root relaxation: objective 1.000000e+00, 156 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   43    9.00000    1.00000  88.9%     -    0s
H    0     0                       6.0000000    1.00000  83.3%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
     0     0 infeasible    0         5.00000    5.00000  0.00%     -    0s

Cutting planes:
  Gomory: 14
  Implied bound: 11
  Projected implied bound: 10
  MIR: 2
  Zero half: 16
  RLT: 12
  Relax-and-lift: 4

Explored 1 nodes (399 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 5 6 9

Optimal solution found (tolerance 1.00e-04)
Best objective 5.000000000000e+00, best bound 5.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1425 rows, 151 columns and 2955 nonzeros
Model fingerprint: 0x8df90598
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 1145 rows and 0 columns
Presolve time: 0.01s
Presolved: 280 rows, 151 columns, 1100 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)
Root relaxation presolve removed 27 rows and 15 columns
Root relaxation presolved: 253 rows, 136 columns, 988 nonzeros


Root relaxation: objective 1.000000e+00, 156 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   43    9.00000    1.00000  88.9%     -    0s
H    0     0                       6.0000000    1.00000  83.3%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
     0     0 infeasible    0         5.00000    5.00000  0.00%     -    0s

Cutting planes:
  Gomory: 14
  Implied bound: 11
  Projected implied bound: 10
  MIR: 2
  Zero half: 16
  RLT: 12
  Relax-and-lift: 4

Explored 1 nodes (399 simplex iterations) in 0.02 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 5 6 9

Optimal solution found (tolerance 1.00e-04)
Best objective 5.000000000000e+00, best bound 5.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1236 rows, 166 columns and 2592 nonzeros
Model fingerprint: 0xd05eaae2
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 921 rows and 0 columns
Presolve time: 0.01s
Presolved: 315 rows, 166 columns, 1077 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)
Root relaxation presolve removed 24 rows and 15 columns
Root relaxation presolved: 291 rows, 151 columns, 983 nonzeros


Root relaxation: objective 1.000000e+00, 138 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   37   10.00000    1.00000  90.0%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0    1.66667    0   50    4.00000    1.66667  58.3%     -    0s
     0     0    3.00000    0   42    4.00000    3.00000  25.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 11
  Projected implied bound: 1
  Clique: 3
  Zero half: 23

Explored 1 nodes (547 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 10

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1236 rows, 166 columns and 2592 nonzeros
Model fingerprint: 0xd05eaae2
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 921 rows and 0 columns
Presolve time: 0.01s
Presolved: 315 rows, 166 columns, 1077 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)
Root relaxation presolve removed 24 rows and 15 columns
Root relaxation presolved: 291 rows, 151 columns, 983 nonzeros


Root relaxation: objective 1.000000e+00, 138 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   37   10.00000    1.00000  90.0%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0    1.66667    0   50    4.00000    1.66667  58.3%     -    0s
     0     0    3.00000    0   42    4.00000    3.00000  25.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 11
  Projected implied bound: 1
  Clique: 3
  Zero half: 23

Explored 1 nodes (547 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 10

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1236 rows, 166 columns and 2592 nonzeros
Model fingerprint: 0xd05eaae2
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 921 rows and 0 columns
Presolve time: 0.01s
Presolved: 315 rows, 166 columns, 1077 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)
Root relaxation presolve removed 24 rows and 15 columns
Root relaxation presolved: 291 rows, 151 columns, 983 nonzeros


Root relaxation: objective 1.000000e+00, 138 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   37   10.00000    1.00000  90.0%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0    1.66667    0   50    4.00000    1.66667  58.3%     -    0s
     0     0    3.00000    0   42    4.00000    3.00000  25.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 11
  Projected implied bound: 1
  Clique: 3
  Zero half: 23

Explored 1 nodes (547 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 10

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1659 rows, 181 columns and 3453 nonzeros
Model fingerprint: 0x165175ba
Variable types: 1 continuous, 180 integer (180 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 11.0000000
Presolve removed 1323 rows and 0 columns
Presolve time: 0.01s
Presolved: 336 rows, 181 columns, 1346 nonzeros
Variable types: 0 continuous, 181 integer (180 binary)
Root relaxation presolve removed 27 rows and 15 columns
Root relaxation presolved: 309 rows, 166 columns, 1233 nonzeros


Root relaxation: objective 1.500000e+00, 102 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.50000    0   38   11.00000    1.50000  86.4%     -    0s
H    0     0                       7.0000000    1.50000  78.6%     -    0s
H    0     0                       6.0000000    1.50000  75.0%     -    0s
H    0     0                       5.0000000    1.50000  70.0%     -    0s
     0     0 infeasible    0         5.00000    5.00000  0.00%     -    0s

Cutting planes:
  Gomory: 15
  Implied bound: 6
  Projected implied bound: 9
  MIR: 1
  Zero half: 2
  RLT: 9
  Relax-and-lift: 2

Explored 1 nodes (399 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 5 6 7 11

Optimal solution found (tolerance 1.00e-04)
Best objective 5.000000000000e+00, best bound 5.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1659 rows, 181 columns and 3453 nonzeros
Model fingerprint: 0x165175ba
Variable types: 1 continuous, 180 integer (180 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 11.0000000
Presolve removed 1323 rows and 0 columns
Presolve time: 0.01s
Presolved: 336 rows, 181 columns, 1346 nonzeros
Variable types: 0 continuous, 181 integer (180 binary)
Root relaxation presolve removed 27 rows and 15 columns
Root relaxation presolved: 309 rows, 166 columns, 1233 nonzeros


Root relaxation: objective 1.500000e+00, 102 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.50000    0   38   11.00000    1.50000  86.4%     -    0s
H    0     0                       7.0000000    1.50000  78.6%     -    0s
H    0     0                       6.0000000    1.50000  75.0%     -    0s
H    0     0                       5.0000000    1.50000  70.0%     -    0s
     0     0 infeasible    0         5.00000    5.00000  0.00%     -    0s

Cutting planes:
  Gomory: 15
  Implied bound: 6
  Projected implied bound: 9
  MIR: 1
  Zero half: 2
  RLT: 9
  Relax-and-lift: 2

Explored 1 nodes (399 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 5 6 7 11

Optimal solution found (tolerance 1.00e-04)
Best objective 5.000000000000e+00, best bound 5.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1659 rows, 181 columns and 3453 nonzeros
Model fingerprint: 0x165175ba
Variable types: 1 continuous, 180 integer (180 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 11.0000000
Presolve removed 1323 rows and 0 columns
Presolve time: 0.01s
Presolved: 336 rows, 181 columns, 1346 nonzeros
Variable types: 0 continuous, 181 integer (180 binary)
Root relaxation presolve removed 27 rows and 15 columns
Root relaxation presolved: 309 rows, 166 columns, 1233 nonzeros


Root relaxation: objective 1.500000e+00, 102 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.50000    0   38   11.00000    1.50000  86.4%     -    0s
H    0     0                       7.0000000    1.50000  78.6%     -    0s
H    0     0                       6.0000000    1.50000  75.0%     -    0s
H    0     0                       5.0000000    1.50000  70.0%     -    0s
     0     0 infeasible    0         5.00000    5.00000  0.00%     -    0s

Cutting planes:
  Gomory: 15
  Implied bound: 6
  Projected implied bound: 9
  MIR: 1
  Zero half: 2
  RLT: 9
  Relax-and-lift: 2

Explored 1 nodes (399 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 5 6 7 11

Optimal solution found (tolerance 1.00e-04)
Best objective 5.000000000000e+00, best bound 5.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1346 rows, 166 columns and 2812 nonzeros
Model fingerprint: 0x90c16a05
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1031 rows and 0 columns
Presolve time: 0.01s
Presolved: 315 rows, 166 columns, 1129 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)
Root relaxation presolve removed 26 rows and 15 columns
Root relaxation presolved: 289 rows, 151 columns, 1027 nonzeros


Root relaxation: objective 1.000000e+00, 131 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   44   10.00000    1.00000  90.0%     -    0s
H    0     0                       6.0000000    1.00000  83.3%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
     0     0    3.00000    0   15    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    4.00000    0   36    4.00000    4.00000  0.00%     -    0s

Explored 1 nodes (587 simplex iterations) in 0.04 seconds (0.03 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 10

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1346 rows, 166 columns and 2812 nonzeros
Model fingerprint: 0x90c16a05
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1031 rows and 0 columns
Presolve time: 0.01s
Presolved: 315 rows, 166 columns, 1129 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)
Root relaxation presolve removed 26 rows and 15 columns
Root relaxation presolved: 289 rows, 151 columns, 1027 nonzeros


Root relaxation: objective 1.000000e+00, 131 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   44   10.00000    1.00000  90.0%     -    0s
H    0     0                       6.0000000    1.00000  83.3%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
     0     0    3.00000    0   15    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    4.00000    0   36    4.00000    4.00000  0.00%     -    0s

Explored 1 nodes (587 simplex iterations) in 0.04 seconds (0.03 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 10

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1346 rows, 166 columns and 2812 nonzeros
Model fingerprint: 0x90c16a05
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1031 rows and 0 columns
Presolve time: 0.01s
Presolved: 315 rows, 166 columns, 1129 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)
Root relaxation presolve removed 26 rows and 15 columns
Root relaxation presolved: 289 rows, 151 columns, 1027 nonzeros


Root relaxation: objective 1.000000e+00, 131 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   44   10.00000    1.00000  90.0%     -    0s
H    0     0                       6.0000000    1.00000  83.3%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
     0     0    3.00000    0   15    5.00000    3.00000  40.0%     -    0s
H    0     0                       4.0000000    3.00000  25.0%     -    0s
     0     0    4.00000    0   36    4.00000    4.00000  0.00%     -    0s

Explored 1 nodes (587 simplex iterations) in 0.04 seconds (0.03 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 10

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1032 rows, 136 columns and 2154 nonzeros
Model fingerprint: 0x477f3f46
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 767 rows and 0 columns
Presolve time: 0.01s
Presolved: 265 rows, 136 columns, 889 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 23 rows and 15 columns
Root relaxation presolved: 242 rows, 121 columns, 796 nonzeros


Root relaxation: objective 1.000000e+00, 140 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   34    8.00000    1.00000  87.5%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 10
  Implied bound: 4
  Projected implied bound: 8
  MIR: 1
  Zero half: 4
  RLT: 8
  Relax-and-lift: 1

Explored 1 nodes (373 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 2: 4 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1032 rows, 136 columns and 2154 nonzeros
Model fingerprint: 0x477f3f46
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 767 rows and 0 columns
Presolve time: 0.01s
Presolved: 265 rows, 136 columns, 889 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 23 rows and 15 columns
Root relaxation presolved: 242 rows, 121 columns, 796 nonzeros


Root relaxation: objective 1.000000e+00, 140 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   34    8.00000    1.00000  87.5%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 10
  Implied bound: 4
  Projected implied bound: 8
  MIR: 1
  Zero half: 4
  RLT: 8
  Relax-and-lift: 1

Explored 1 nodes (373 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 2: 4 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1032 rows, 136 columns and 2154 nonzeros
Model fingerprint: 0x477f3f46
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 767 rows and 0 columns
Presolve time: 0.01s
Presolved: 265 rows, 136 columns, 889 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 23 rows and 15 columns
Root relaxation presolved: 242 rows, 121 columns, 796 nonzeros


Root relaxation: objective 1.000000e+00, 140 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   34    8.00000    1.00000  87.5%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 10
  Implied bound: 4
  Projected implied bound: 8
  MIR: 1
  Zero half: 4
  RLT: 8
  Relax-and-lift: 1

Explored 1 nodes (373 simplex iterations) in 0.02 seconds (0.01 work units)
Thread count was 2 (of 2 available processors)

Solution count 2: 4 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1390 rows, 166 columns and 2900 nonzeros
Model fingerprint: 0x511d5384
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1092 rows and 0 columns
Presolve time: 0.01s
Presolved: 298 rows, 166 columns, 1126 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)
Root relaxation presolve removed 23 rows and 15 columns
Root relaxation presolved: 275 rows, 151 columns, 1025 nonzeros


Root relaxation: objective 1.000000e+00, 106 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   43   10.00000    1.00000  90.0%     -    0s
H    0     0                       9.0000000    1.00000  88.9%     -    0s
H    0     0                       8.0000000    1.00000  87.5%     -    0s
H    0     0                       7.0000000    1.00000  85.7%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
     0     0    2.00000    0   40    5.00000    2.00000  60.0%     -    0s
H    0     0                       4.0000000    2.00000  50.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Explored 1 nodes (451 simplex iterations) in 0.04 seconds (0.03 work units)
Thread count was 2 (of 2 available processors)

Solution count 6: 4 5 7 ... 10

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1390 rows, 166 columns and 2900 nonzeros
Model fingerprint: 0x511d5384
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1092 rows and 0 columns
Presolve time: 0.01s
Presolved: 298 rows, 166 columns, 1126 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)
Root relaxation presolve removed 23 rows and 15 columns
Root relaxation presolved: 275 rows, 151 columns, 1025 nonzeros


Root relaxation: objective 1.000000e+00, 106 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   43   10.00000    1.00000  90.0%     -    0s
H    0     0                       9.0000000    1.00000  88.9%     -    0s
H    0     0                       8.0000000    1.00000  87.5%     -    0s
H    0     0                       7.0000000    1.00000  85.7%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
     0     0    2.00000    0   40    5.00000    2.00000  60.0%     -    0s
H    0     0                       4.0000000    2.00000  50.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Explored 1 nodes (451 simplex iterations) in 0.04 seconds (0.03 work units)
Thread count was 2 (of 2 available processors)

Solution count 6: 4 5 7 ... 10

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1390 rows, 166 columns and 2900 nonzeros
Model fingerprint: 0x511d5384
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1092 rows and 0 columns
Presolve time: 0.01s
Presolved: 298 rows, 166 columns, 1126 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)
Root relaxation presolve removed 23 rows and 15 columns
Root relaxation presolved: 275 rows, 151 columns, 1025 nonzeros


Root relaxation: objective 1.000000e+00, 106 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   43   10.00000    1.00000  90.0%     -    0s
H    0     0                       9.0000000    1.00000  88.9%     -    0s
H    0     0                       8.0000000    1.00000  87.5%     -    0s
H    0     0                       7.0000000    1.00000  85.7%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
     0     0    2.00000    0   40    5.00000    2.00000  60.0%     -    0s
H    0     0                       4.0000000    2.00000  50.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Explored 1 nodes (451 simplex iterations) in 0.04 seconds (0.03 work units)
Thread count was 2 (of 2 available processors)

Solution count 6: 4 5 7 ... 10

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1225 rows, 151 columns and 2555 nonzeros
Model fingerprint: 0xe9ac8b7f
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 931 rows and 0 columns
Presolve time: 0.01s
Presolved: 294 rows, 151 columns, 1026 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)
Root relaxation presolve removed 28 rows and 15 columns
Root relaxation presolved: 266 rows, 136 columns, 923 nonzeros


Root relaxation: objective 1.000000e+00, 118 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   51    9.00000    1.00000  88.9%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0    3.00000    0   16    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   16    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   37    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   27    4.00000    3.00000  25.0%     -    0s

Cutting planes:
  Gomory: 20
  Lift-and-project: 20
  Clique: 4
  Flow cover: 1
  Zero half: 19

Explored 1 nodes (688 simplex iterations) in 0.05 seconds (0.03 work units)
Thread count was 2 (of 2 available processors)

Solution count 2: 4 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1225 rows, 151 columns and 2555 nonzeros
Model fingerprint: 0xe9ac8b7f
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 931 rows and 0 columns
Presolve time: 0.01s
Presolved: 294 rows, 151 columns, 1026 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)
Root relaxation presolve removed 28 rows and 15 columns
Root relaxation presolved: 266 rows, 136 columns, 923 nonzeros


Root relaxation: objective 1.000000e+00, 118 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   51    9.00000    1.00000  88.9%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0    3.00000    0   16    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   16    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   37    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   27    4.00000    3.00000  25.0%     -    0s

Cutting planes:
  Gomory: 20
  Lift-and-project: 20
  Clique: 4
  Flow cover: 1
  Zero half: 19

Explored 1 nodes (688 simplex iterations) in 0.05 seconds (0.03 work units)
Thread count was 2 (of 2 available processors)

Solution count 2: 4 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1225 rows, 151 columns and 2555 nonzeros
Model fingerprint: 0xe9ac8b7f
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 931 rows and 0 columns
Presolve time: 0.01s
Presolved: 294 rows, 151 columns, 1026 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)
Root relaxation presolve removed 28 rows and 15 columns
Root relaxation presolved: 266 rows, 136 columns, 923 nonzeros


Root relaxation: objective 1.000000e+00, 118 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   51    9.00000    1.00000  88.9%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0    3.00000    0   16    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   16    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   37    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   27    4.00000    3.00000  25.0%     -    0s

Cutting planes:
  Gomory: 20
  Lift-and-project: 20
  Clique: 4
  Flow cover: 1
  Zero half: 19

Explored 1 nodes (688 simplex iterations) in 0.05 seconds (0.03 work units)
Thread count was 2 (of 2 available processors)

Solution count 2: 4 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0x4c7ee799
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 873 rows and 0 columns
Presolve time: 0.01s
Presolved: 267 rows, 136 columns, 944 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 29 rows and 15 columns
Root relaxation presolved: 238 rows, 121 columns, 835 nonzeros


Root relaxation: objective 5.785124e-01, 151 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   74    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
H    0     0                       4.0000000    0.57851  85.5%     -    0s
     0     0    2.00000    0   30    4.00000    2.00000  50.0%     -    0s
     0     0    3.00000    0   32    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   30    4.00000    3.00000  25.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 17
  Lift-and-project: 15
  Clique: 2
  Zero half: 17

Explored 1 nodes (635 simplex iterations) in 0.05 seconds (0.03 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0x4c7ee799
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 873 rows and 0 columns
Presolve time: 0.01s
Presolved: 267 rows, 136 columns, 944 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 29 rows and 15 columns
Root relaxation presolved: 238 rows, 121 columns, 835 nonzeros


Root relaxation: objective 5.785124e-01, 151 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   74    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
H    0     0                       4.0000000    0.57851  85.5%     -    0s
     0     0    2.00000    0   30    4.00000    2.00000  50.0%     -    0s
     0     0    3.00000    0   32    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   30    4.00000    3.00000  25.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 17
  Lift-and-project: 15
  Clique: 2
  Zero half: 17

Explored 1 nodes (635 simplex iterations) in 0.05 seconds (0.03 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 2
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1140 rows, 136 columns and 2370 nonzeros
Model fingerprint: 0x4c7ee799
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 873 rows and 0 columns
Presolve time: 0.01s
Presolved: 267 rows, 136 columns, 944 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 29 rows and 15 columns
Root relaxation presolved: 238 rows, 121 columns, 835 nonzeros


Root relaxation: objective 5.785124e-01, 151 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.57851    0   74    8.00000    0.57851  92.8%     -    0s
H    0     0                       5.0000000    0.57851  88.4%     -    0s
H    0     0                       4.0000000    0.57851  85.5%     -    0s
     0     0    2.00000    0   30    4.00000    2.00000  50.0%     -    0s
     0     0    3.00000    0   32    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   30    4.00000    3.00000  25.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 17
  Lift-and-project: 15
  Clique: 2
  Zero half: 17

Explored 1 nodes (635 simplex iterations) in 0.05 seconds (0.03 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1500 rows, 166 columns and 3120 nonzeros
Model fingerprint: 0x95a87241
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1197 rows and 0 columns
Presolve time: 0.01s
Presolved: 303 rows, 166 columns, 1174 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)
Root relaxation presolve removed 26 rows and 15 columns
Root relaxation presolved: 277 rows, 151 columns, 1068 nonzeros


Root relaxation: objective 1.000000e+00, 170 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   46   10.00000    1.00000  90.0%     -    0s
H    0     0                       6.0000000    1.00000  83.3%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
     0     0    4.00000    0   14    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   10    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   10    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   14    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   30    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   10    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   12    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   12    5.00000    4.00000  20.0%     -    0s
     0     2    4.00000    0   10    5.00000    4.00000  20.0%     -    0s

Cutting planes:
  Clique: 7
  Zero half: 107

Explored 11 nodes (1633 simplex iterations) in 0.22 seconds (0.13 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 5 6 10

Optimal solution found (tolerance 1.00e-04)
Best objective 5.000000000000e+00, best bound 5.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1500 rows, 166 columns and 3120 nonzeros
Model fingerprint: 0x95a87241
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1197 rows and 0 columns
Presolve time: 0.01s
Presolved: 303 rows, 166 columns, 1174 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)
Root relaxation presolve removed 26 rows and 15 columns
Root relaxation presolved: 277 rows, 151 columns, 1068 nonzeros


Root relaxation: objective 1.000000e+00, 170 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   46   10.00000    1.00000  90.0%     -    0s
H    0     0                       6.0000000    1.00000  83.3%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
     0     0    4.00000    0   14    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   10    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   10    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   14    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   30    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   10    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   12    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   12    5.00000    4.00000  20.0%     -    0s
     0     2    4.00000    0   10    5.00000    4.00000  20.0%     -    0s

Cutting planes:
  Clique: 7
  Zero half: 107

Explored 11 nodes (1633 simplex iterations) in 0.22 seconds (0.13 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 5 6 10

Optimal solution found (tolerance 1.00e-04)
Best objective 5.000000000000e+00, best bound 5.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1500 rows, 166 columns and 3120 nonzeros
Model fingerprint: 0x95a87241
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1197 rows and 0 columns
Presolve time: 0.01s
Presolved: 303 rows, 166 columns, 1174 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)
Root relaxation presolve removed 26 rows and 15 columns
Root relaxation presolved: 277 rows, 151 columns, 1068 nonzeros


Root relaxation: objective 1.000000e+00, 170 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   46   10.00000    1.00000  90.0%     -    0s
H    0     0                       6.0000000    1.00000  83.3%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
     0     0    4.00000    0   14    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   10    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   10    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   14    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   30    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   10    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   12    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   12    5.00000    4.00000  20.0%     -    0s
     0     2    4.00000    0   10    5.00000    4.00000  20.0%     -    0s

Cutting planes:
  Clique: 7
  Zero half: 107

Explored 11 nodes (1633 simplex iterations) in 0.22 seconds (0.13 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 5 6 10

Optimal solution found (tolerance 1.00e-04)
Best objective 5.000000000000e+00, best bound 5.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1122 rows, 136 columns and 2334 nonzeros
Model fingerprint: 0x1b8c847f
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 845 rows and 0 columns
Presolve time: 0.01s
Presolved: 277 rows, 136 columns, 946 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 28 rows and 15 columns
Root relaxation presolved: 249 rows, 121 columns, 841 nonzeros


Root relaxation: objective 5.785124e-01, 157 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   46    8.00000    1.00000  87.5%     -    0s
H    0     0                       6.0000000    1.00000  83.3%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 17
  Lift-and-project: 9
  Implied bound: 5
  Projected implied bound: 16
  MIR: 6
  Flow cover: 16
  Zero half: 18
  RLT: 10
  Relax-and-lift: 7

Explored 1 nodes (511 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1122 rows, 136 columns and 2334 nonzeros
Model fingerprint: 0x1b8c847f
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 845 rows and 0 columns
Presolve time: 0.01s
Presolved: 277 rows, 136 columns, 946 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 28 rows and 15 columns
Root relaxation presolved: 249 rows, 121 columns, 841 nonzeros


Root relaxation: objective 5.785124e-01, 157 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   46    8.00000    1.00000  87.5%     -    0s
H    0     0                       6.0000000    1.00000  83.3%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 17
  Lift-and-project: 9
  Implied bound: 5
  Projected implied bound: 16
  MIR: 6
  Flow cover: 16
  Zero half: 18
  RLT: 10
  Relax-and-lift: 7

Explored 1 nodes (511 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1122 rows, 136 columns and 2334 nonzeros
Model fingerprint: 0x1b8c847f
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 845 rows and 0 columns
Presolve time: 0.01s
Presolved: 277 rows, 136 columns, 946 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 28 rows and 15 columns
Root relaxation presolved: 249 rows, 121 columns, 841 nonzeros


Root relaxation: objective 5.785124e-01, 157 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   46    8.00000    1.00000  87.5%     -    0s
H    0     0                       6.0000000    1.00000  83.3%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 17
  Lift-and-project: 9
  Implied bound: 5
  Projected implied bound: 16
  MIR: 6
  Flow cover: 16
  Zero half: 18
  RLT: 10
  Relax-and-lift: 7

Explored 1 nodes (511 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1145 rows, 151 columns and 2395 nonzeros
Model fingerprint: 0x78547a97
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 841 rows and 0 columns
Presolve time: 0.01s
Presolved: 304 rows, 151 columns, 1021 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)
Root relaxation presolve removed 24 rows and 15 columns
Root relaxation presolved: 280 rows, 136 columns, 925 nonzeros


Root relaxation: objective 1.000000e+00, 92 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   36    9.00000    1.00000  88.9%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
H    0     0                       3.0000000    1.00000  66.7%     -    0s
     0     0     cutoff    0         3.00000    3.00000  0.00%     -    0s

Cutting planes:
  Gomory: 20
  Lift-and-project: 1
  Implied bound: 11
  Projected implied bound: 11
  Flow cover: 2
  Zero half: 13
  RLT: 7
  Relax-and-lift: 8

Explored 1 nodes (449 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 3 4 5 9

Optimal solution found (tolerance 1.00e-04)
Best objective 3.000000000000e+00, best bound 3.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1145 rows, 151 columns and 2395 nonzeros
Model fingerprint: 0x78547a97
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 841 rows and 0 columns
Presolve time: 0.01s
Presolved: 304 rows, 151 columns, 1021 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)
Root relaxation presolve removed 24 rows and 15 columns
Root relaxation presolved: 280 rows, 136 columns, 925 nonzeros


Root relaxation: objective 1.000000e+00, 92 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   36    9.00000    1.00000  88.9%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
H    0     0                       3.0000000    1.00000  66.7%     -    0s
     0     0     cutoff    0         3.00000    3.00000  0.00%     -    0s

Cutting planes:
  Gomory: 20
  Lift-and-project: 1
  Implied bound: 11
  Projected implied bound: 11
  Flow cover: 2
  Zero half: 13
  RLT: 7
  Relax-and-lift: 8

Explored 1 nodes (449 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 3 4 5 9

Optimal solution found (tolerance 1.00e-04)
Best objective 3.000000000000e+00, best bound 3.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1145 rows, 151 columns and 2395 nonzeros
Model fingerprint: 0x78547a97
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 841 rows and 0 columns
Presolve time: 0.01s
Presolved: 304 rows, 151 columns, 1021 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)
Root relaxation presolve removed 24 rows and 15 columns
Root relaxation presolved: 280 rows, 136 columns, 925 nonzeros


Root relaxation: objective 1.000000e+00, 92 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   36    9.00000    1.00000  88.9%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
H    0     0                       3.0000000    1.00000  66.7%     -    0s
     0     0     cutoff    0         3.00000    3.00000  0.00%     -    0s

Cutting planes:
  Gomory: 20
  Lift-and-project: 1
  Implied bound: 11
  Projected implied bound: 11
  Flow cover: 2
  Zero half: 13
  RLT: 7
  Relax-and-lift: 8

Explored 1 nodes (449 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 3 4 5 9

Optimal solution found (tolerance 1.00e-04)
Best objective 3.000000000000e+00, best bound 3.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1225 rows, 151 columns and 2555 nonzeros
Model fingerprint: 0x86dd650f
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 937 rows and 0 columns
Presolve time: 0.01s
Presolved: 288 rows, 151 columns, 1010 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)
Root relaxation presolve removed 26 rows and 15 columns
Root relaxation presolved: 262 rows, 136 columns, 910 nonzeros


Root relaxation: objective 5.591613e-01, 117 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   45    9.00000    1.00000  88.9%     -    0s
H    0     0                       6.0000000    1.00000  83.3%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 9
  Lift-and-project: 2
  Implied bound: 2
  Projected implied bound: 9
  Flow cover: 9
  Zero half: 5
  RLT: 11
  Relax-and-lift: 2

Explored 1 nodes (415 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1225 rows, 151 columns and 2555 nonzeros
Model fingerprint: 0x86dd650f
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 937 rows and 0 columns
Presolve time: 0.01s
Presolved: 288 rows, 151 columns, 1010 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)
Root relaxation presolve removed 26 rows and 15 columns
Root relaxation presolved: 262 rows, 136 columns, 910 nonzeros


Root relaxation: objective 5.591613e-01, 117 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   45    9.00000    1.00000  88.9%     -    0s
H    0     0                       6.0000000    1.00000  83.3%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 9
  Lift-and-project: 2
  Implied bound: 2
  Projected implied bound: 9
  Flow cover: 9
  Zero half: 5
  RLT: 11
  Relax-and-lift: 2

Explored 1 nodes (415 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1225 rows, 151 columns and 2555 nonzeros
Model fingerprint: 0x86dd650f
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 937 rows and 0 columns
Presolve time: 0.01s
Presolved: 288 rows, 151 columns, 1010 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)
Root relaxation presolve removed 26 rows and 15 columns
Root relaxation presolved: 262 rows, 136 columns, 910 nonzeros


Root relaxation: objective 5.591613e-01, 117 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   45    9.00000    1.00000  88.9%     -    0s
H    0     0                       6.0000000    1.00000  83.3%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 9
  Lift-and-project: 2
  Implied bound: 2
  Projected implied bound: 9
  Flow cover: 9
  Zero half: 5
  RLT: 11
  Relax-and-lift: 2

Explored 1 nodes (415 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1086 rows, 136 columns and 2262 nonzeros
Model fingerprint: 0x83dfba57
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 808 rows and 0 columns
Presolve time: 0.01s
Presolved: 278 rows, 136 columns, 941 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 24 rows and 15 columns
Root relaxation presolved: 254 rows, 121 columns, 844 nonzeros


Root relaxation: objective 1.000000e+00, 142 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   34    8.00000    1.00000  87.5%     -    0s
H    0     0                       6.0000000    1.00000  83.3%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 6
  Lift-and-project: 11
  Implied bound: 4
  Projected implied bound: 11
  MIR: 2
  Flow cover: 1
  Zero half: 13
  RLT: 9
  Relax-and-lift: 6

Explored 1 nodes (339 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1086 rows, 136 columns and 2262 nonzeros
Model fingerprint: 0x83dfba57
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 808 rows and 0 columns
Presolve time: 0.01s
Presolved: 278 rows, 136 columns, 941 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 24 rows and 15 columns
Root relaxation presolved: 254 rows, 121 columns, 844 nonzeros


Root relaxation: objective 1.000000e+00, 142 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   34    8.00000    1.00000  87.5%     -    0s
H    0     0                       6.0000000    1.00000  83.3%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 6
  Lift-and-project: 11
  Implied bound: 4
  Projected implied bound: 11
  MIR: 2
  Flow cover: 1
  Zero half: 13
  RLT: 9
  Relax-and-lift: 6

Explored 1 nodes (339 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1086 rows, 136 columns and 2262 nonzeros
Model fingerprint: 0x83dfba57
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 808 rows and 0 columns
Presolve time: 0.01s
Presolved: 278 rows, 136 columns, 941 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 24 rows and 15 columns
Root relaxation presolved: 254 rows, 121 columns, 844 nonzeros


Root relaxation: objective 1.000000e+00, 142 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   34    8.00000    1.00000  87.5%     -    0s
H    0     0                       6.0000000    1.00000  83.3%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 6
  Lift-and-project: 11
  Implied bound: 4
  Projected implied bound: 11
  MIR: 2
  Flow cover: 1
  Zero half: 13
  RLT: 9
  Relax-and-lift: 6

Explored 1 nodes (339 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1125 rows, 151 columns and 2355 nonzeros
Model fingerprint: 0xa07cd392
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 843 rows and 0 columns
Presolve time: 0.01s
Presolved: 282 rows, 151 columns, 993 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 257 rows, 136 columns, 896 nonzeros


Root relaxation: objective 1.000000e+00, 151 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   35    9.00000    1.00000  88.9%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
H    0     0                       3.0000000    1.00000  66.7%     -    0s
     0     0     cutoff    0         3.00000    3.00000  0.00%     -    0s

Cutting planes:
  Gomory: 5
  Lift-and-project: 11
  Implied bound: 1
  Projected implied bound: 5
  Zero half: 8
  RLT: 3
  Relax-and-lift: 1

Explored 1 nodes (309 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 3 4 9

Optimal solution found (tolerance 1.00e-04)
Best objective 3.000000000000e+00, best bound 3.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1125 rows, 151 columns and 2355 nonzeros
Model fingerprint: 0xa07cd392
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 843 rows and 0 columns
Presolve time: 0.01s
Presolved: 282 rows, 151 columns, 993 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 257 rows, 136 columns, 896 nonzeros


Root relaxation: objective 1.000000e+00, 151 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   35    9.00000    1.00000  88.9%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
H    0     0                       3.0000000    1.00000  66.7%     -    0s
     0     0     cutoff    0         3.00000    3.00000  0.00%     -    0s

Cutting planes:
  Gomory: 5
  Lift-and-project: 11
  Implied bound: 1
  Projected implied bound: 5
  Zero half: 8
  RLT: 3
  Relax-and-lift: 1

Explored 1 nodes (309 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 3 4 9

Optimal solution found (tolerance 1.00e-04)
Best objective 3.000000000000e+00, best bound 3.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1125 rows, 151 columns and 2355 nonzeros
Model fingerprint: 0xa07cd392
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 843 rows and 0 columns
Presolve time: 0.01s
Presolved: 282 rows, 151 columns, 993 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 257 rows, 136 columns, 896 nonzeros


Root relaxation: objective 1.000000e+00, 151 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   35    9.00000    1.00000  88.9%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
H    0     0                       3.0000000    1.00000  66.7%     -    0s
     0     0     cutoff    0         3.00000    3.00000  0.00%     -    0s

Cutting planes:
  Gomory: 5
  Lift-and-project: 11
  Implied bound: 1
  Projected implied bound: 5
  Zero half: 8
  RLT: 3
  Relax-and-lift: 1

Explored 1 nodes (309 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 3 4 9

Optimal solution found (tolerance 1.00e-04)
Best objective 3.000000000000e+00, best bound 3.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1265 rows, 151 columns and 2635 nonzeros
Model fingerprint: 0x59ac7083
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 995 rows and 0 columns
Presolve time: 0.01s
Presolved: 270 rows, 151 columns, 970 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)
Root relaxation presolve removed 26 rows and 15 columns
Root relaxation presolved: 244 rows, 136 columns, 871 nonzeros


Root relaxation: objective 5.519054e-01, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   38    9.00000    1.00000  88.9%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 13
  Lift-and-project: 4
  Implied bound: 6
  Projected implied bound: 8
  MIR: 2
  Flow cover: 11
  Zero half: 9
  RLT: 9
  Relax-and-lift: 8

Explored 1 nodes (440 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1265 rows, 151 columns and 2635 nonzeros
Model fingerprint: 0x59ac7083
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 995 rows and 0 columns
Presolve time: 0.01s
Presolved: 270 rows, 151 columns, 970 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)
Root relaxation presolve removed 26 rows and 15 columns
Root relaxation presolved: 244 rows, 136 columns, 871 nonzeros


Root relaxation: objective 5.519054e-01, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   38    9.00000    1.00000  88.9%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 13
  Lift-and-project: 4
  Implied bound: 6
  Projected implied bound: 8
  MIR: 2
  Flow cover: 11
  Zero half: 9
  RLT: 9
  Relax-and-lift: 8

Explored 1 nodes (440 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1265 rows, 151 columns and 2635 nonzeros
Model fingerprint: 0x59ac7083
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 995 rows and 0 columns
Presolve time: 0.01s
Presolved: 270 rows, 151 columns, 970 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)
Root relaxation presolve removed 26 rows and 15 columns
Root relaxation presolved: 244 rows, 136 columns, 871 nonzeros


Root relaxation: objective 5.519054e-01, 150 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   38    9.00000    1.00000  88.9%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 13
  Lift-and-project: 4
  Implied bound: 6
  Projected implied bound: 8
  MIR: 2
  Flow cover: 11
  Zero half: 9
  RLT: 9
  Relax-and-lift: 8

Explored 1 nodes (440 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1522 rows, 166 columns and 3164 nonzeros
Model fingerprint: 0xdfe9a531
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1210 rows and 0 columns
Presolve time: 0.01s
Presolved: 312 rows, 166 columns, 1239 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)
Root relaxation presolve removed 26 rows and 15 columns
Root relaxation presolved: 286 rows, 151 columns, 1131 nonzeros


Root relaxation: objective 1.500000e+00, 102 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    2.00000    0   22   10.00000    2.00000  80.0%     -    0s
H    0     0                       6.0000000    2.00000  66.7%     -    0s
H    0     0                       5.0000000    2.00000  60.0%     -    0s
     0     0    3.00000    0   30    5.00000    3.00000  40.0%     -    0s
     0     0    4.00000    0   12    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   20    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   31    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   31    5.00000    4.00000  20.0%     -    0s

Cutting planes:
  Gomory: 15
  Lift-and-project: 10
  Projected implied bound: 3
  Clique: 5
  Flow cover: 1
  Zero half: 5
  Relax-and-lift: 1

Explored 1 nodes (1030 simplex iterations) in 0.09 seconds (0.05 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 5 6 10

Optimal solution found (tolerance 1.00e-04)
Best objective 5.000000000000e+00, best bound 5.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1522 rows, 166 columns and 3164 nonzeros
Model fingerprint: 0xdfe9a531
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1210 rows and 0 columns
Presolve time: 0.01s
Presolved: 312 rows, 166 columns, 1239 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)
Root relaxation presolve removed 26 rows and 15 columns
Root relaxation presolved: 286 rows, 151 columns, 1131 nonzeros


Root relaxation: objective 1.500000e+00, 102 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    2.00000    0   22   10.00000    2.00000  80.0%     -    0s
H    0     0                       6.0000000    2.00000  66.7%     -    0s
H    0     0                       5.0000000    2.00000  60.0%     -    0s
     0     0    3.00000    0   30    5.00000    3.00000  40.0%     -    0s
     0     0    4.00000    0   12    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   20    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   31    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   31    5.00000    4.00000  20.0%     -    0s

Cutting planes:
  Gomory: 15
  Lift-and-project: 10
  Projected implied bound: 3
  Clique: 5
  Flow cover: 1
  Zero half: 5
  Relax-and-lift: 1

Explored 1 nodes (1030 simplex iterations) in 0.09 seconds (0.05 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 5 6 10

Optimal solution found (tolerance 1.00e-04)
Best objective 5.000000000000e+00, best bound 5.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1522 rows, 166 columns and 3164 nonzeros
Model fingerprint: 0xdfe9a531
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1210 rows and 0 columns
Presolve time: 0.01s
Presolved: 312 rows, 166 columns, 1239 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)
Root relaxation presolve removed 26 rows and 15 columns
Root relaxation presolved: 286 rows, 151 columns, 1131 nonzeros


Root relaxation: objective 1.500000e+00, 102 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    2.00000    0   22   10.00000    2.00000  80.0%     -    0s
H    0     0                       6.0000000    2.00000  66.7%     -    0s
H    0     0                       5.0000000    2.00000  60.0%     -    0s
     0     0    3.00000    0   30    5.00000    3.00000  40.0%     -    0s
     0     0    4.00000    0   12    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   20    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   31    5.00000    4.00000  20.0%     -    0s
     0     0    4.00000    0   31    5.00000    4.00000  20.0%     -    0s

Cutting planes:
  Gomory: 15
  Lift-and-project: 10
  Projected implied bound: 3
  Clique: 5
  Flow cover: 1
  Zero half: 5
  Relax-and-lift: 1

Explored 1 nodes (1030 simplex iterations) in 0.09 seconds (0.05 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 5 6 10

Optimal solution found (tolerance 1.00e-04)
Best objective 5.000000000000e+00, best bound 5.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1368 rows, 166 columns and 2856 nonzeros
Model fingerprint: 0x4d717c16
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1092 rows and 0 columns
Presolve time: 0.01s
Presolved: 276 rows, 166 columns, 1077 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 251 rows, 151 columns, 974 nonzeros


Root relaxation: objective 1.000000e+00, 104 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   48   10.00000    1.00000  90.0%     -    0s
H    0     0                       7.0000000    1.00000  85.7%     -    0s
H    0     0                       6.0000000    1.00000  83.3%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
     0     0 infeasible    0         5.00000    5.00000  0.00%     -    0s

Cutting planes:
  Gomory: 23
  Implied bound: 12
  Projected implied bound: 22
  MIR: 1
  Flow cover: 6
  Zero half: 7
  RLT: 13
  Relax-and-lift: 11

Explored 1 nodes (347 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 5 6 7 10

Optimal solution found (tolerance 1.00e-04)
Best objective 5.000000000000e+00, best bound 5.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1368 rows, 166 columns and 2856 nonzeros
Model fingerprint: 0x4d717c16
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1092 rows and 0 columns
Presolve time: 0.01s
Presolved: 276 rows, 166 columns, 1077 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 251 rows, 151 columns, 974 nonzeros


Root relaxation: objective 1.000000e+00, 104 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   48   10.00000    1.00000  90.0%     -    0s
H    0     0                       7.0000000    1.00000  85.7%     -    0s
H    0     0                       6.0000000    1.00000  83.3%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
     0     0 infeasible    0         5.00000    5.00000  0.00%     -    0s

Cutting planes:
  Gomory: 23
  Implied bound: 12
  Projected implied bound: 22
  MIR: 1
  Flow cover: 6
  Zero half: 7
  RLT: 13
  Relax-and-lift: 11

Explored 1 nodes (347 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 5 6 7 10

Optimal solution found (tolerance 1.00e-04)
Best objective 5.000000000000e+00, best bound 5.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1368 rows, 166 columns and 2856 nonzeros
Model fingerprint: 0x4d717c16
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1092 rows and 0 columns
Presolve time: 0.01s
Presolved: 276 rows, 166 columns, 1077 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 251 rows, 151 columns, 974 nonzeros


Root relaxation: objective 1.000000e+00, 104 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   48   10.00000    1.00000  90.0%     -    0s
H    0     0                       7.0000000    1.00000  85.7%     -    0s
H    0     0                       6.0000000    1.00000  83.3%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
     0     0 infeasible    0         5.00000    5.00000  0.00%     -    0s

Cutting planes:
  Gomory: 23
  Implied bound: 12
  Projected implied bound: 22
  MIR: 1
  Flow cover: 6
  Zero half: 7
  RLT: 13
  Relax-and-lift: 11

Explored 1 nodes (347 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 5 6 7 10

Optimal solution found (tolerance 1.00e-04)
Best objective 5.000000000000e+00, best bound 5.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1635 rows, 181 columns and 3405 nonzeros
Model fingerprint: 0x7467f711
Variable types: 1 continuous, 180 integer (180 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 11.0000000
Presolve removed 1303 rows and 0 columns
Presolve time: 0.01s
Presolved: 332 rows, 181 columns, 1273 nonzeros
Variable types: 0 continuous, 181 integer (180 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 307 rows, 166 columns, 1168 nonzeros


Root relaxation: objective 1.500000e+00, 108 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    2.00000    0   20   11.00000    2.00000  81.8%     -    0s
H    0     0                       7.0000000    2.00000  71.4%     -    0s
H    0     0                       6.0000000    2.00000  66.7%     -    0s
H    0     0                       5.0000000    2.00000  60.0%     -    0s
H    0     0                       4.0000000    2.00000  50.0%     -    0s
     0     0     cutoff    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 4
  Lift-and-project: 6
  Implied bound: 3
  Projected implied bound: 2
  MIR: 1
  Flow cover: 5
  Zero half: 8
  RLT: 5
  Relax-and-lift: 3

Explored 1 nodes (525 simplex iterations) in 0.05 seconds (0.03 work units)
Thread count was 2 (of 2 available processors)

Solution count 5: 4 5 6 ... 11

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1635 rows, 181 columns and 3405 nonzeros
Model fingerprint: 0x7467f711
Variable types: 1 continuous, 180 integer (180 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 11.0000000
Presolve removed 1303 rows and 0 columns
Presolve time: 0.01s
Presolved: 332 rows, 181 columns, 1273 nonzeros
Variable types: 0 continuous, 181 integer (180 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 307 rows, 166 columns, 1168 nonzeros


Root relaxation: objective 1.500000e+00, 108 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    2.00000    0   20   11.00000    2.00000  81.8%     -    0s
H    0     0                       7.0000000    2.00000  71.4%     -    0s
H    0     0                       6.0000000    2.00000  66.7%     -    0s
H    0     0                       5.0000000    2.00000  60.0%     -    0s
H    0     0                       4.0000000    2.00000  50.0%     -    0s
     0     0     cutoff    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 4
  Lift-and-project: 6
  Implied bound: 3
  Projected implied bound: 2
  MIR: 1
  Flow cover: 5
  Zero half: 8
  RLT: 5
  Relax-and-lift: 3

Explored 1 nodes (525 simplex iterations) in 0.05 seconds (0.03 work units)
Thread count was 2 (of 2 available processors)

Solution count 5: 4 5 6 ... 11

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1635 rows, 181 columns and 3405 nonzeros
Model fingerprint: 0x7467f711
Variable types: 1 continuous, 180 integer (180 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 11.0000000
Presolve removed 1303 rows and 0 columns
Presolve time: 0.01s
Presolved: 332 rows, 181 columns, 1273 nonzeros
Variable types: 0 continuous, 181 integer (180 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 307 rows, 166 columns, 1168 nonzeros


Root relaxation: objective 1.500000e+00, 108 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    2.00000    0   20   11.00000    2.00000  81.8%     -    0s
H    0     0                       7.0000000    2.00000  71.4%     -    0s
H    0     0                       6.0000000    2.00000  66.7%     -    0s
H    0     0                       5.0000000    2.00000  60.0%     -    0s
H    0     0                       4.0000000    2.00000  50.0%     -    0s
     0     0     cutoff    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 4
  Lift-and-project: 6
  Implied bound: 3
  Projected implied bound: 2
  MIR: 1
  Flow cover: 5
  Zero half: 8
  RLT: 5
  Relax-and-lift: 3

Explored 1 nodes (525 simplex iterations) in 0.05 seconds (0.03 work units)
Thread count was 2 (of 2 available processors)

Solution count 5: 4 5 6 ... 11

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1635 rows, 181 columns and 3405 nonzeros
Model fingerprint: 0xc933df56
Variable types: 1 continuous, 180 integer (180 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 11.0000000
Presolve removed 1288 rows and 0 columns
Presolve time: 0.01s
Presolved: 347 rows, 181 columns, 1316 nonzeros
Variable types: 0 continuous, 181 integer (180 binary)
Root relaxation presolve removed 29 rows and 15 columns
Root relaxation presolved: 318 rows, 166 columns, 1201 nonzeros


Root relaxation: objective 1.000000e+00, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   44   11.00000    1.00000  90.9%     -    0s
H    0     0                       6.0000000    1.00000  83.3%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 7
  Lift-and-project: 1
  Implied bound: 6
  Projected implied bound: 11
  Flow cover: 1
  Zero half: 5
  RLT: 9
  Relax-and-lift: 4

Explored 1 nodes (360 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 11

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1635 rows, 181 columns and 3405 nonzeros
Model fingerprint: 0xc933df56
Variable types: 1 continuous, 180 integer (180 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 11.0000000
Presolve removed 1288 rows and 0 columns
Presolve time: 0.01s
Presolved: 347 rows, 181 columns, 1316 nonzeros
Variable types: 0 continuous, 181 integer (180 binary)
Root relaxation presolve removed 29 rows and 15 columns
Root relaxation presolved: 318 rows, 166 columns, 1201 nonzeros


Root relaxation: objective 1.000000e+00, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   44   11.00000    1.00000  90.9%     -    0s
H    0     0                       6.0000000    1.00000  83.3%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 7
  Lift-and-project: 1
  Implied bound: 6
  Projected implied bound: 11
  Flow cover: 1
  Zero half: 5
  RLT: 9
  Relax-and-lift: 4

Explored 1 nodes (360 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 11

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1635 rows, 181 columns and 3405 nonzeros
Model fingerprint: 0xc933df56
Variable types: 1 continuous, 180 integer (180 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 11.0000000
Presolve removed 1288 rows and 0 columns
Presolve time: 0.01s
Presolved: 347 rows, 181 columns, 1316 nonzeros
Variable types: 0 continuous, 181 integer (180 binary)
Root relaxation presolve removed 29 rows and 15 columns
Root relaxation presolved: 318 rows, 166 columns, 1201 nonzeros


Root relaxation: objective 1.000000e+00, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   44   11.00000    1.00000  90.9%     -    0s
H    0     0                       6.0000000    1.00000  83.3%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 7
  Lift-and-project: 1
  Implied bound: 6
  Projected implied bound: 11
  Flow cover: 1
  Zero half: 5
  RLT: 9
  Relax-and-lift: 4

Explored 1 nodes (360 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 11

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1491 rows, 181 columns and 3117 nonzeros
Model fingerprint: 0x5902e9e5
Variable types: 1 continuous, 180 integer (180 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 11.0000000
Presolve removed 1159 rows and 0 columns
Presolve time: 0.01s
Presolved: 332 rows, 181 columns, 1244 nonzeros
Variable types: 0 continuous, 181 integer (180 binary)
Root relaxation presolve removed 26 rows and 15 columns
Root relaxation presolved: 306 rows, 166 columns, 1142 nonzeros


Root relaxation: objective 5.136829e-01, 139 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   52   11.00000    1.00000  90.9%     -    0s
H    0     0                       6.0000000    1.00000  83.3%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0     cutoff    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 25
  Lift-and-project: 10
  Implied bound: 6
  Projected implied bound: 16
  MIR: 1
  Flow cover: 11
  Zero half: 14
  RLT: 14
  Relax-and-lift: 6

Explored 1 nodes (748 simplex iterations) in 0.07 seconds (0.04 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 11

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1491 rows, 181 columns and 3117 nonzeros
Model fingerprint: 0x5902e9e5
Variable types: 1 continuous, 180 integer (180 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 11.0000000
Presolve removed 1159 rows and 0 columns
Presolve time: 0.01s
Presolved: 332 rows, 181 columns, 1244 nonzeros
Variable types: 0 continuous, 181 integer (180 binary)
Root relaxation presolve removed 26 rows and 15 columns
Root relaxation presolved: 306 rows, 166 columns, 1142 nonzeros


Root relaxation: objective 5.136829e-01, 139 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   52   11.00000    1.00000  90.9%     -    0s
H    0     0                       6.0000000    1.00000  83.3%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0     cutoff    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 25
  Lift-and-project: 10
  Implied bound: 6
  Projected implied bound: 16
  MIR: 1
  Flow cover: 11
  Zero half: 14
  RLT: 14
  Relax-and-lift: 6

Explored 1 nodes (748 simplex iterations) in 0.07 seconds (0.04 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 11

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1491 rows, 181 columns and 3117 nonzeros
Model fingerprint: 0x5902e9e5
Variable types: 1 continuous, 180 integer (180 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 11.0000000
Presolve removed 1159 rows and 0 columns
Presolve time: 0.01s
Presolved: 332 rows, 181 columns, 1244 nonzeros
Variable types: 0 continuous, 181 integer (180 binary)
Root relaxation presolve removed 26 rows and 15 columns
Root relaxation presolved: 306 rows, 166 columns, 1142 nonzeros


Root relaxation: objective 5.136829e-01, 139 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   52   11.00000    1.00000  90.9%     -    0s
H    0     0                       6.0000000    1.00000  83.3%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0     cutoff    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 25
  Lift-and-project: 10
  Implied bound: 6
  Projected implied bound: 16
  MIR: 1
  Flow cover: 11
  Zero half: 14
  RLT: 14
  Relax-and-lift: 6

Explored 1 nodes (748 simplex iterations) in 0.07 seconds (0.04 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 11

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1104 rows, 136 columns and 2298 nonzeros
Model fingerprint: 0x779f7f55
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 827 rows and 0 columns
Presolve time: 0.01s
Presolved: 277 rows, 136 columns, 931 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 30 rows and 15 columns
Root relaxation presolved: 247 rows, 121 columns, 824 nonzeros


Root relaxation: objective 5.785124e-01, 125 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   34    8.00000    1.00000  87.5%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0    2.00000    0   29    4.00000    2.00000  50.0%     -    0s
     0     0    3.00000    0   30    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   19    4.00000    3.00000  25.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 12
  Lift-and-project: 18
  Clique: 4
  Zero half: 39

Explored 1 nodes (862 simplex iterations) in 0.09 seconds (0.05 work units)
Thread count was 2 (of 2 available processors)

Solution count 2: 4 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1104 rows, 136 columns and 2298 nonzeros
Model fingerprint: 0x779f7f55
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 827 rows and 0 columns
Presolve time: 0.01s
Presolved: 277 rows, 136 columns, 931 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 30 rows and 15 columns
Root relaxation presolved: 247 rows, 121 columns, 824 nonzeros


Root relaxation: objective 5.785124e-01, 125 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   34    8.00000    1.00000  87.5%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0    2.00000    0   29    4.00000    2.00000  50.0%     -    0s
     0     0    3.00000    0   30    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   19    4.00000    3.00000  25.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 12
  Lift-and-project: 18
  Clique: 4
  Zero half: 39

Explored 1 nodes (862 simplex iterations) in 0.09 seconds (0.05 work units)
Thread count was 2 (of 2 available processors)

Solution count 2: 4 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1104 rows, 136 columns and 2298 nonzeros
Model fingerprint: 0x779f7f55
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 827 rows and 0 columns
Presolve time: 0.01s
Presolved: 277 rows, 136 columns, 931 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 30 rows and 15 columns
Root relaxation presolved: 247 rows, 121 columns, 824 nonzeros


Root relaxation: objective 5.785124e-01, 125 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   34    8.00000    1.00000  87.5%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0    2.00000    0   29    4.00000    2.00000  50.0%     -    0s
     0     0    3.00000    0   30    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   19    4.00000    3.00000  25.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 12
  Lift-and-project: 18
  Clique: 4
  Zero half: 39

Explored 1 nodes (862 simplex iterations) in 0.09 seconds (0.05 work units)
Thread count was 2 (of 2 available processors)

Solution count 2: 4 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1419 rows, 181 columns and 2973 nonzeros
Model fingerprint: 0xf71f3e91
Variable types: 1 continuous, 180 integer (180 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 11.0000000
Presolve removed 1058 rows and 0 columns
Presolve time: 0.01s
Presolved: 361 rows, 181 columns, 1350 nonzeros
Variable types: 0 continuous, 181 integer (180 binary)
Root relaxation presolve removed 29 rows and 15 columns
Root relaxation presolved: 332 rows, 166 columns, 1237 nonzeros


Root relaxation: objective 1.000000e+00, 135 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   50   11.00000    1.00000  90.9%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 18
  Lift-and-project: 1
  Implied bound: 6
  Projected implied bound: 7
  Flow cover: 1
  Zero half: 6
  RLT: 7
  Relax-and-lift: 3

Explored 1 nodes (301 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 11

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1419 rows, 181 columns and 2973 nonzeros
Model fingerprint: 0xf71f3e91
Variable types: 1 continuous, 180 integer (180 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 11.0000000
Presolve removed 1058 rows and 0 columns
Presolve time: 0.01s
Presolved: 361 rows, 181 columns, 1350 nonzeros
Variable types: 0 continuous, 181 integer (180 binary)
Root relaxation presolve removed 29 rows and 15 columns
Root relaxation presolved: 332 rows, 166 columns, 1237 nonzeros


Root relaxation: objective 1.000000e+00, 135 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   50   11.00000    1.00000  90.9%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 18
  Lift-and-project: 1
  Implied bound: 6
  Projected implied bound: 7
  Flow cover: 1
  Zero half: 6
  RLT: 7
  Relax-and-lift: 3

Explored 1 nodes (301 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 11

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1419 rows, 181 columns and 2973 nonzeros
Model fingerprint: 0xf71f3e91
Variable types: 1 continuous, 180 integer (180 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 11.0000000
Presolve removed 1058 rows and 0 columns
Presolve time: 0.01s
Presolved: 361 rows, 181 columns, 1350 nonzeros
Variable types: 0 continuous, 181 integer (180 binary)
Root relaxation presolve removed 29 rows and 15 columns
Root relaxation presolved: 332 rows, 166 columns, 1237 nonzeros


Root relaxation: objective 1.000000e+00, 135 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   50   11.00000    1.00000  90.9%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 18
  Lift-and-project: 1
  Implied bound: 6
  Projected implied bound: 7
  Flow cover: 1
  Zero half: 6
  RLT: 7
  Relax-and-lift: 3

Explored 1 nodes (301 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 11

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1170 rows, 166 columns and 2460 nonzeros
Model fingerprint: 0xc6af3444
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 865 rows and 0 columns
Presolve time: 0.01s
Presolved: 305 rows, 166 columns, 1055 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 280 rows, 151 columns, 960 nonzeros


Root relaxation: objective 1.000000e+00, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   30   10.00000    1.00000  90.0%     -    0s
H    0     0                       6.0000000    1.00000  83.3%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 17
  Lift-and-project: 17
  Implied bound: 2
  Projected implied bound: 12
  MIR: 3
  Flow cover: 7
  Zero half: 10
  RLT: 6
  Relax-and-lift: 6

Explored 1 nodes (292 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 10

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1170 rows, 166 columns and 2460 nonzeros
Model fingerprint: 0xc6af3444
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 865 rows and 0 columns
Presolve time: 0.01s
Presolved: 305 rows, 166 columns, 1055 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 280 rows, 151 columns, 960 nonzeros


Root relaxation: objective 1.000000e+00, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   30   10.00000    1.00000  90.0%     -    0s
H    0     0                       6.0000000    1.00000  83.3%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 17
  Lift-and-project: 17
  Implied bound: 2
  Projected implied bound: 12
  MIR: 3
  Flow cover: 7
  Zero half: 10
  RLT: 6
  Relax-and-lift: 6

Explored 1 nodes (292 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 10

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1170 rows, 166 columns and 2460 nonzeros
Model fingerprint: 0xc6af3444
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 865 rows and 0 columns
Presolve time: 0.01s
Presolved: 305 rows, 166 columns, 1055 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)
Root relaxation presolve removed 25 rows and 15 columns
Root relaxation presolved: 280 rows, 151 columns, 960 nonzeros


Root relaxation: objective 1.000000e+00, 158 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   30   10.00000    1.00000  90.0%     -    0s
H    0     0                       6.0000000    1.00000  83.3%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 17
  Lift-and-project: 17
  Implied bound: 2
  Projected implied bound: 12
  MIR: 3
  Flow cover: 7
  Zero half: 10
  RLT: 6
  Relax-and-lift: 6

Explored 1 nodes (292 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 10

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1478 rows, 166 columns and 3076 nonzeros
Model fingerprint: 0x16f1949e
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1171 rows and 0 columns
Presolve time: 0.01s
Presolved: 307 rows, 166 columns, 1146 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)
Root relaxation presolve removed 27 rows and 15 columns
Root relaxation presolved: 280 rows, 151 columns, 1040 nonzeros


Root relaxation: objective 1.000000e+00, 184 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   45   10.00000    1.00000  90.0%     -    0s
H    0     0                       7.0000000    1.00000  85.7%     -    0s
H    0     0                       6.0000000    1.00000  83.3%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
*    0     0               0       4.0000000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 16
  Lift-and-project: 3
  Implied bound: 13
  Projected implied bound: 19
  Flow cover: 8
  Zero half: 5
  RLT: 11
  Relax-and-lift: 9

Explored 1 nodes (489 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 5: 4 5 6 ... 10

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1478 rows, 166 columns and 3076 nonzeros
Model fingerprint: 0x16f1949e
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1171 rows and 0 columns
Presolve time: 0.01s
Presolved: 307 rows, 166 columns, 1146 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)
Root relaxation presolve removed 27 rows and 15 columns
Root relaxation presolved: 280 rows, 151 columns, 1040 nonzeros


Root relaxation: objective 1.000000e+00, 184 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   45   10.00000    1.00000  90.0%     -    0s
H    0     0                       7.0000000    1.00000  85.7%     -    0s
H    0     0                       6.0000000    1.00000  83.3%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
*    0     0               0       4.0000000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 16
  Lift-and-project: 3
  Implied bound: 13
  Projected implied bound: 19
  Flow cover: 8
  Zero half: 5
  RLT: 11
  Relax-and-lift: 9

Explored 1 nodes (489 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 5: 4 5 6 ... 10

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1478 rows, 166 columns and 3076 nonzeros
Model fingerprint: 0x16f1949e
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1171 rows and 0 columns
Presolve time: 0.01s
Presolved: 307 rows, 166 columns, 1146 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)
Root relaxation presolve removed 27 rows and 15 columns
Root relaxation presolved: 280 rows, 151 columns, 1040 nonzeros


Root relaxation: objective 1.000000e+00, 184 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   45   10.00000    1.00000  90.0%     -    0s
H    0     0                       7.0000000    1.00000  85.7%     -    0s
H    0     0                       6.0000000    1.00000  83.3%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
*    0     0               0       4.0000000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 16
  Lift-and-project: 3
  Implied bound: 13
  Projected implied bound: 19
  Flow cover: 8
  Zero half: 5
  RLT: 11
  Relax-and-lift: 9

Explored 1 nodes (489 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 5: 4 5 6 ... 10

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1225 rows, 151 columns and 2555 nonzeros
Model fingerprint: 0x0b305d62
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 965 rows and 0 columns
Presolve time: 0.01s
Presolved: 260 rows, 151 columns, 925 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)
Root relaxation presolve removed 23 rows and 15 columns
Root relaxation presolved: 237 rows, 136 columns, 834 nonzeros


Root relaxation: objective 1.000000e+00, 172 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   47    9.00000    1.00000  88.9%     -    0s
H    0     0                       6.0000000    1.00000  83.3%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 15
  Lift-and-project: 2
  Implied bound: 5
  Projected implied bound: 11
  Flow cover: 2
  Zero half: 7
  RLT: 7
  Relax-and-lift: 4

Explored 1 nodes (342 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1225 rows, 151 columns and 2555 nonzeros
Model fingerprint: 0x0b305d62
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 965 rows and 0 columns
Presolve time: 0.01s
Presolved: 260 rows, 151 columns, 925 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)
Root relaxation presolve removed 23 rows and 15 columns
Root relaxation presolved: 237 rows, 136 columns, 834 nonzeros


Root relaxation: objective 1.000000e+00, 172 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   47    9.00000    1.00000  88.9%     -    0s
H    0     0                       6.0000000    1.00000  83.3%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 15
  Lift-and-project: 2
  Implied bound: 5
  Projected implied bound: 11
  Flow cover: 2
  Zero half: 7
  RLT: 7
  Relax-and-lift: 4

Explored 1 nodes (342 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1225 rows, 151 columns and 2555 nonzeros
Model fingerprint: 0x0b305d62
Variable types: 1 continuous, 150 integer (150 binary)
Coefficient statistics:
  Matrix range     [1e+00, 9e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 9.0000000
Presolve removed 965 rows and 0 columns
Presolve time: 0.01s
Presolved: 260 rows, 151 columns, 925 nonzeros
Variable types: 0 continuous, 151 integer (150 binary)
Root relaxation presolve removed 23 rows and 15 columns
Root relaxation presolved: 237 rows, 136 columns, 834 nonzeros


Root relaxation: objective 1.000000e+00, 172 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   47    9.00000    1.00000  88.9%     -    0s
H    0     0                       6.0000000    1.00000  83.3%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 15
  Lift-and-project: 2
  Implied bound: 5
  Projected implied bound: 11
  Flow cover: 2
  Zero half: 7
  RLT: 7
  Relax-and-lift: 4

Explored 1 nodes (342 simplex iterations) in 0.03 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 9

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1032 rows, 136 columns and 2154 nonzeros
Model fingerprint: 0xe58db01e
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 788 rows and 0 columns
Presolve time: 0.01s
Presolved: 244 rows, 136 columns, 862 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 26 rows and 15 columns
Root relaxation presolved: 218 rows, 121 columns, 764 nonzeros


Root relaxation: objective 1.000000e+00, 94 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   41    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0    2.00000    0   42    4.00000    2.00000  50.0%     -    0s
     0     0    3.00000    0   42    4.00000    3.00000  25.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 23
  Lift-and-project: 3
  Zero half: 41
  RLT: 3

Explored 1 nodes (646 simplex iterations) in 0.08 seconds (0.04 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1032 rows, 136 columns and 2154 nonzeros
Model fingerprint: 0xe58db01e
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 788 rows and 0 columns
Presolve time: 0.01s
Presolved: 244 rows, 136 columns, 862 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 26 rows and 15 columns
Root relaxation presolved: 218 rows, 121 columns, 764 nonzeros


Root relaxation: objective 1.000000e+00, 94 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   41    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0    2.00000    0   42    4.00000    2.00000  50.0%     -    0s
     0     0    3.00000    0   42    4.00000    3.00000  25.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 23
  Lift-and-project: 3
  Zero half: 41
  RLT: 3

Explored 1 nodes (646 simplex iterations) in 0.08 seconds (0.04 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1032 rows, 136 columns and 2154 nonzeros
Model fingerprint: 0xe58db01e
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 788 rows and 0 columns
Presolve time: 0.01s
Presolved: 244 rows, 136 columns, 862 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 26 rows and 15 columns
Root relaxation presolved: 218 rows, 121 columns, 764 nonzeros


Root relaxation: objective 1.000000e+00, 94 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   41    8.00000    1.00000  87.5%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0    2.00000    0   42    4.00000    2.00000  50.0%     -    0s
     0     0    3.00000    0   42    4.00000    3.00000  25.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 23
  Lift-and-project: 3
  Zero half: 41
  RLT: 3

Explored 1 nodes (646 simplex iterations) in 0.08 seconds (0.04 work units)
Thread count was 2 (of 2 available processors)

Solution count 3: 4 5 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 924 rows, 136 columns and 1938 nonzeros
Model fingerprint: 0x40aa90b0
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 666 rows and 0 columns
Presolve time: 0.01s
Presolved: 258 rows, 136 columns, 853 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 26 rows and 15 columns
Root relaxation presolved: 232 rows, 121 columns, 758 nonzeros


Root relaxation: objective 5.785124e-01, 128 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   36    8.00000    1.00000  87.5%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0    3.00000    0   16    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   16    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   18    4.00000    3.00000  25.0%     -    0s

Cutting planes:
  Gomory: 3
  Lift-and-project: 7
  Zero half: 6

Explored 1 nodes (787 simplex iterations) in 0.06 seconds (0.03 work units)
Thread count was 2 (of 2 available processors)

Solution count 2: 4 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 924 rows, 136 columns and 1938 nonzeros
Model fingerprint: 0x40aa90b0
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 666 rows and 0 columns
Presolve time: 0.01s
Presolved: 258 rows, 136 columns, 853 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 26 rows and 15 columns
Root relaxation presolved: 232 rows, 121 columns, 758 nonzeros


Root relaxation: objective 5.785124e-01, 128 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   36    8.00000    1.00000  87.5%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0    3.00000    0   16    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   16    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   18    4.00000    3.00000  25.0%     -    0s

Cutting planes:
  Gomory: 3
  Lift-and-project: 7
  Zero half: 6

Explored 1 nodes (787 simplex iterations) in 0.06 seconds (0.03 work units)
Thread count was 2 (of 2 available processors)

Solution count 2: 4 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 924 rows, 136 columns and 1938 nonzeros
Model fingerprint: 0x40aa90b0
Variable types: 1 continuous, 135 integer (135 binary)
Coefficient statistics:
  Matrix range     [1e+00, 8e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 9e+00]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 8.0000000
Presolve removed 666 rows and 0 columns
Presolve time: 0.01s
Presolved: 258 rows, 136 columns, 853 nonzeros
Variable types: 0 continuous, 136 integer (135 binary)
Root relaxation presolve removed 26 rows and 15 columns
Root relaxation presolved: 232 rows, 121 columns, 758 nonzeros


Root relaxation: objective 5.785124e-01, 128 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   36    8.00000    1.00000  87.5%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0    3.00000    0   16    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   16    4.00000    3.00000  25.0%     -    0s
     0     0    3.00000    0   18    4.00000    3.00000  25.0%     -    0s

Cutting planes:
  Gomory: 3
  Lift-and-project: 7
  Zero half: 6

Explored 1 nodes (787 simplex iterations) in 0.06 seconds (0.03 work units)
Thread count was 2 (of 2 available processors)

Solution count 2: 4 8

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1500 rows, 166 columns and 3120 nonzeros
Model fingerprint: 0xff3ba458
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1136 rows and 0 columns
Presolve time: 0.01s
Presolved: 364 rows, 166 columns, 1288 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)
Root relaxation presolve removed 32 rows and 15 columns
Root relaxation presolved: 332 rows, 151 columns, 1170 nonzeros


Root relaxation: objective 1.000000e+00, 181 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   44   10.00000    1.00000  90.0%     -    0s
H    0     0                       6.0000000    1.00000  83.3%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 14
  Lift-and-project: 11
  Implied bound: 9
  Projected implied bound: 10
  Flow cover: 4
  Zero half: 10
  RLT: 15
  Relax-and-lift: 2

Explored 1 nodes (447 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 10

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1500 rows, 166 columns and 3120 nonzeros
Model fingerprint: 0xff3ba458
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1136 rows and 0 columns
Presolve time: 0.01s
Presolved: 364 rows, 166 columns, 1288 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)
Root relaxation presolve removed 32 rows and 15 columns
Root relaxation presolved: 332 rows, 151 columns, 1170 nonzeros


Root relaxation: objective 1.000000e+00, 181 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   44   10.00000    1.00000  90.0%     -    0s
H    0     0                       6.0000000    1.00000  83.3%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 14
  Lift-and-project: 11
  Implied bound: 9
  Projected implied bound: 10
  Flow cover: 4
  Zero half: 10
  RLT: 15
  Relax-and-lift: 2

Explored 1 nodes (447 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 10

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file
Set parameter MIPFocus to value 3
Set parameter Method to value 4
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (linux64)
Thread count: 1 physical cores, 2 logical processors, using up to 2 threads
Optimize a model with 1500 rows, 166 columns and 3120 nonzeros
Model fingerprint: 0xff3ba458
Variable types: 1 continuous, 165 integer (165 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+01]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+01]
  RHS range        [1e+00, 1e+00]
Found heuristic solution: objective 10.0000000
Presolve removed 1136 rows and 0 columns
Presolve time: 0.01s
Presolved: 364 rows, 166 columns, 1288 nonzeros
Variable types: 0 continuous, 166 integer (165 binary)
Root relaxation presolve removed 32 rows and 15 columns
Root relaxation presolved: 332 rows, 151 columns, 1170 nonzeros


Root relaxation: objective 1.000000e+00, 181 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    1.00000    0   44   10.00000    1.00000  90.0%     -    0s
H    0     0                       6.0000000    1.00000  83.3%     -    0s
H    0     0                       5.0000000    1.00000  80.0%     -    0s
H    0     0                       4.0000000    1.00000  75.0%     -    0s
     0     0 infeasible    0         4.00000    4.00000  0.00%     -    0s

Cutting planes:
  Gomory: 14
  Lift-and-project: 11
  Implied bound: 9
  Projected implied bound: 10
  Flow cover: 4
  Zero half: 10
  RLT: 15
  Relax-and-lift: 2

Explored 1 nodes (447 simplex iterations) in 0.04 seconds (0.02 work units)
Thread count was 2 (of 2 available processors)

Solution count 4: 4 5 6 10

Optimal solution found (tolerance 1.00e-04)
Best objective 4.000000000000e+00, best bound 4.000000000000e+00, gap 0.0000%
tracking_url_type_store: file

Total running time of the script: ( 0 minutes 25.745 seconds)

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