use black on examples/python
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@@ -11,6 +11,7 @@
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# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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# See the License for the specific language governing permissions and
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# limitations under the License.
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"""Solve an assignment problem with combination constraints on workers."""
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from typing import Sequence
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@@ -21,19 +22,27 @@ from ortools.sat.python import cp_model
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def solve_assignment():
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"""Solve the assignment problem."""
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# Data.
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cost = [[90, 76, 75, 70, 50, 74], [35, 85, 55, 65, 48, 101],
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[125, 95, 90, 105, 59, 120], [45, 110, 95, 115, 104, 83],
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[60, 105, 80, 75, 59, 62], [45, 65, 110, 95, 47, 31],
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[38, 51, 107, 41, 69, 99], [47, 85, 57, 71, 92, 77],
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[39, 63, 97, 49, 118, 56], [47, 101, 71, 60, 88, 109],
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[17, 39, 103, 64, 61, 92], [101, 45, 83, 59, 92, 27]]
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cost = [
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[90, 76, 75, 70, 50, 74],
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[35, 85, 55, 65, 48, 101],
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[125, 95, 90, 105, 59, 120],
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[45, 110, 95, 115, 104, 83],
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[60, 105, 80, 75, 59, 62],
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[45, 65, 110, 95, 47, 31],
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[38, 51, 107, 41, 69, 99],
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[47, 85, 57, 71, 92, 77],
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[39, 63, 97, 49, 118, 56],
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[47, 101, 71, 60, 88, 109],
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[17, 39, 103, 64, 61, 92],
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[101, 45, 83, 59, 92, 27],
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]
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group1 = [
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[0, 0, 1, 1], # Workers 2, 3
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[0, 1, 0, 1], # Workers 1, 3
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[0, 1, 1, 0], # Workers 1, 2
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[1, 1, 0, 0], # Workers 0, 1
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[1, 0, 1, 0]
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[1, 0, 1, 0],
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] # Workers 0, 2
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group2 = [
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@@ -41,7 +50,7 @@ def solve_assignment():
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[0, 1, 0, 1], # Workers 5, 7
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[0, 1, 1, 0], # Workers 5, 6
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[1, 1, 0, 0], # Workers 4, 5
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[1, 0, 0, 1]
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[1, 0, 0, 1],
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] # Workers 4, 7
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group3 = [
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@@ -49,7 +58,7 @@ def solve_assignment():
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[0, 1, 0, 1], # Workers 9, 11
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[0, 1, 1, 0], # Workers 9, 10
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[1, 0, 1, 0], # Workers 8, 10
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[1, 0, 0, 1]
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[1, 0, 0, 1],
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] # Workers 8, 11
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sizes = [10, 7, 3, 12, 15, 4, 11, 5]
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@@ -63,10 +72,10 @@ def solve_assignment():
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model = cp_model.CpModel()
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# Variables
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selected = [[model.NewBoolVar('x[%i,%i]' % (i, j))
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for j in all_tasks]
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for i in all_workers]
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works = [model.NewBoolVar('works[%i]' % i) for i in all_workers]
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selected = [
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[model.NewBoolVar("x[%i,%i]" % (i, j)) for j in all_tasks] for i in all_workers
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]
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works = [model.NewBoolVar("works[%i]" % i) for i in all_workers]
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# Constraints
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@@ -80,49 +89,45 @@ def solve_assignment():
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# Total task size for each worker is at most total_size_max
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for i in all_workers:
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model.Add(
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sum(sizes[j] * selected[i][j] for j in all_tasks) <= total_size_max)
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model.Add(sum(sizes[j] * selected[i][j] for j in all_tasks) <= total_size_max)
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# Group constraints.
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model.AddAllowedAssignments([works[0], works[1], works[2], works[3]],
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group1)
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model.AddAllowedAssignments([works[4], works[5], works[6], works[7]],
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group2)
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model.AddAllowedAssignments([works[8], works[9], works[10], works[11]],
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group3)
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model.AddAllowedAssignments([works[0], works[1], works[2], works[3]], group1)
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model.AddAllowedAssignments([works[4], works[5], works[6], works[7]], group2)
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model.AddAllowedAssignments([works[8], works[9], works[10], works[11]], group3)
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# Objective
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model.Minimize(
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sum(selected[i][j] * cost[i][j]
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for j in all_tasks
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for i in all_workers))
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sum(selected[i][j] * cost[i][j] for j in all_tasks for i in all_workers)
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)
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# Solve and output solution.
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solver = cp_model.CpSolver()
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status = solver.Solve(model)
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if status == cp_model.OPTIMAL:
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print('Total cost = %i' % solver.ObjectiveValue())
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print("Total cost = %i" % solver.ObjectiveValue())
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print()
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for i in all_workers:
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for j in all_tasks:
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if solver.BooleanValue(selected[i][j]):
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print('Worker ', i, ' assigned to task ', j, ' Cost = ',
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cost[i][j])
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print(
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"Worker ", i, " assigned to task ", j, " Cost = ", cost[i][j]
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)
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print()
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print('Statistics')
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print(' - conflicts : %i' % solver.NumConflicts())
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print(' - branches : %i' % solver.NumBranches())
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print(' - wall time : %f s' % solver.WallTime())
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print("Statistics")
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print(" - conflicts : %i" % solver.NumConflicts())
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print(" - branches : %i" % solver.NumBranches())
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print(" - wall time : %f s" % solver.WallTime())
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def main(argv: Sequence[str]) -> None:
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if len(argv) > 1:
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raise app.UsageError('Too many command-line arguments.')
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raise app.UsageError("Too many command-line arguments.")
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solve_assignment()
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if __name__ == '__main__':
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if __name__ == "__main__":
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app.run(main)
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