first commit

p345/solution.py

@@ -0,0 +1,34 @@
+import numpy as np
+from scipy.sparse import csr_matrix
+from scipy.sparse.csgraph import min_weight_full_bipartite_matching
+
+A = np.array([
+[  7,  53, 183, 439, 863, 497, 383, 563,  79, 973, 287,  63, 343, 169, 583],
+[627, 343, 773, 959, 943, 767, 473, 103, 699, 303, 957, 703, 583, 639, 913],
+[447, 283, 463,  29,  23, 487, 463, 993, 119, 883, 327, 493, 423, 159, 743],
+[217, 623,   3, 399, 853, 407, 103, 983,  89, 463, 290, 516, 212, 462, 350],
+[960, 376, 682, 962, 300, 780, 486, 502, 912, 800, 250, 346, 172, 812, 350],
+[870, 456, 192, 162, 593, 473, 915,  45, 989, 873, 823, 965, 425, 329, 803],
+[973, 965, 905, 919, 133, 673, 665, 235, 509, 613, 673, 815, 165, 992, 326],
+[322, 148, 972, 962, 286, 255, 941, 541, 265, 323, 925, 281, 601,  95, 973],
+[445, 721,  11, 525, 473,  65, 511, 164, 138, 672,  18, 428, 154, 448, 848],
+[414, 456, 310, 312, 798, 104, 566, 520, 302, 248, 694, 976, 430, 392, 198],
+[184, 829, 373, 181, 631, 101, 969, 613, 840, 740, 778, 458, 284, 760, 390],
+[821, 461, 843, 513,  17, 901, 711, 993, 293, 157, 274,  94, 192, 156, 574],
+[ 34, 124,   4, 878, 450, 476, 712, 914, 838, 669, 875, 299, 823, 329, 699],
+[815, 559, 813, 459, 522, 788, 168, 586, 966, 232, 308, 833, 251, 631, 107],
+[813, 883, 451, 509, 615,  77, 281, 613, 459, 205, 380, 274, 302,  35, 805]
+])
+
+A_sparse = csr_matrix(A)
+
+I1, I2 = min_weight_full_bipartite_matching(-A_sparse)
+print(I1)
+print(I2)
+
+maxima = np.zeros((1, len(I1))).squeeze()
+for i in I1:
+    maxima[i] = A[i, I2[i]]
+
+print(maxima)
+print(sum(maxima))