Statistics

Problem Statement for "BadNeighbors"

Problem Statement

The old song declares "Go ahead and hate your neighbor", and the residents of Onetinville have taken those words to heart. Every resident hates his next-door neighbors on both sides. Nobody is willing to live farther away from the town's well than his neighbors, so the town has been arranged in a big circle around the well. Unfortunately, the town's well is in disrepair and needs to be restored. You have been hired to collect donations for the Save Our Well fund.

Each of the town's residents is willing to donate a certain amount, as specified in the int[] donations, which is listed in clockwise order around the well. However, nobody is willing to contribute to a fund to which his neighbor has also contributed. Next-door neighbors are always listed consecutively in donations, except that the first and last entries in donations are also for next-door neighbors. You must calculate and return the maximum amount of donations that can be collected.

Definition

Class:
BadNeighbors
Method:
maxDonations
Parameters:
int[]
Returns:
int
Method signature:
int maxDonations(int[] donations)
(be sure your method is public)

Constraints

  • donations contains between 2 and 40 elements, inclusive.
  • Each element in donations is between 1 and 1000, inclusive.

Examples

  1. { 10, 3, 2, 5, 7, 8 }

    Returns: 19

    The maximum donation is 19, achieved by 10+2+7. It would be better to take 10+5+8 except that the 10 and 8 donations are from neighbors.

  2. { 11, 15 }

    Returns: 15

  3. { 7, 7, 7, 7, 7, 7, 7 }

    Returns: 21

  4. { 1, 2, 3, 4, 5, 1, 2, 3, 4, 5 }

    Returns: 16

  5. { 94, 40, 49, 65, 21, 21, 106, 80, 92, 81, 679, 4, 61, 6, 237, 12, 72, 74, 29, 95, 265, 35, 47, 1, 61, 397, 52, 72, 37, 51, 1, 81, 45, 435, 7, 36, 57, 86, 81, 72 }

    Returns: 2926

  6. { 347, 49, 608, 460, 67, 856, 21, 526, 552, 412, 761, 286, 481, 441, 598, 933, 462, 328, 92 }

    Returns: 4866

  7. { 54, 161, 763, 454, 217, 338, 313, 812, 72, 634, 764, 595, 523, 844, 65, 1000, 292 }

    Returns: 5040

  8. { 374, 429, 448, 480, 751, 781, 295, 920, 442 }

    Returns: 2610

  9. { 836, 100, 274, 931, 632, 817, 951, 992, 17, 349, 189, 99, 77, 316, 698, 10, 732, 3, 2, 445, 524, 343, 953, 513, 459 }

    Returns: 6933

  10. { 596, 633, 339, 994, 719, 901, 551, 772, 38, 211, 212, 812, 454, 931, 879, 78, 243, 637, 815, 182, 359, 192, 892, 152, 234, 480, 814, 649, 613, 216 }

    Returns: 9224

  11. { 15, 992, 551, 28, 245, 149, 647, 633, 422, 137, 3, 805, 177, 848, 79, 878, 482 }

    Returns: 4837

  12. { 610, 467, 596, 278, 889, 334, 886, 721, 842, 708, 610, 491, 985, 995, 219, 710, 78, 267, 887, 404, 152, 372, 127, 152, 915 }

    Returns: 7702

  13. { 399, 470, 76, 788, 170, 349, 895, 682, 49, 873, 943, 798, 111, 981, 678, 600, 459, 265, 939, 555, 406 }

    Returns: 6886

  14. { 874, 173, 392, 916, 119, 997, 923, 841, 301, 755, 320 }

    Returns: 4383

  15. { 35, 991, 80, 273, 637, 811, 974, 845, 725 }

    Returns: 3327

  16. { 593, 351, 111, 474, 913, 520, 468, 738, 561, 122, 568, 808, 374, 918, 907, 349, 110, 320, 448, 772, 921 }

    Returns: 5813

  17. { 13, 804, 513, 308, 752, 771, 237, 769, 945, 932, 858, 171, 462, 739, 627, 797, 172, 662, 589, 954, 488, 92, 788, 557, 1000, 881, 107, 697, 849, 265, 28 }

    Returns: 9679

  18. { 110, 310, 520, 631, 927, 481, 595, 38, 574, 651, 799, 79, 933, 659, 69, 418, 93, 527, 929, 938, 920, 580, 960, 808, 454, 989, 832, 775, 985, 738, 973, 13, 434, 603 }

    Returns: 11422

  19. { 918, 501, 486, 579, 964, 638, 396, 988, 85, 503 }

    Returns: 3356

  20. { 848, 106, 26, 171, 771, 401, 587, 6, 711, 318, 93, 964, 3, 893, 942, 204, 57, 51, 958, 665, 1, 767, 370 }

    Returns: 6729

  21. { 380, 659, 849, 70, 280, 85, 408, 386, 860, 113, 708 }

    Returns: 3105

  22. {90,1,2,89,3,4,88,5,6,87,5,4,86,3,2,85,1,2}

    Returns: 525

  23. {90,1,2,89,3,4,88,5,6,87,5,4,86,3,2,85}

    Returns: 442

  24. { 162, 964, 975, 847, 31, 472, 61, 903, 713, 392, 798, 937, 378, 994, 969, 310, 924, 766, 529, 422, 786, 844, 746, 428, 332, 832, 280, 233, 609, 744, 165, 635, 335, 655, 414, 661, 686, 374, 739, 599 }

    Returns: 13227

  25. { 265, 40, 953, 368, 357, 880, 302, 970, 349, 91, 841, 894, 707, 434, 713, 117, 108, 524, 429, 275, 817, 225, 557, 311, 795, 24, 895, 190, 776, 410, 534, 207, 675, 705, 652, 295, 777, 363, 808, 255 }

    Returns: 13152

  26. { 148, 496, 796, 25, 538, 254, 819, 942, 885, 760, 878, 450, 202, 463, 775, 853, 202, 168, 49, 532, 573, 482, 528, 508, 176, 103, 886, 348, 792, 198, 746, 193, 239, 102, 452, 132, 837, 693, 546, 219 }

    Returns: 11568

  27. { 221, 118, 376, 194, 434, 965, 42, 347, 109, 611, 22, 72, 270, 213, 459, 305, 982, 749, 30, 481, 598, 578, 744, 625, 882, 224, 800, 896, 612, 480, 862, 250, 596, 464, 700, 859, 198, 962, 187, 618 }

    Returns: 11573

  28. { 590, 260, 60, 331, 929, 661, 675, 181, 593, 69, 253, 675, 410, 328, 734, 560, 547, 520, 408, 108, 346, 14, 982, 808, 944, 896, 558, 691, 941, 341, 306, 471, 750, 592, 279, 205, 485, 483, 895, 415 }

    Returns: 11697

  29. { 442, 851, 111, 479, 261, 770, 194, 619, 864, 263, 323, 15, 110, 37, 926, 399, 916, 824, 811, 988, 290, 135, 633, 766, 293, 554, 193, 943, 480, 239, 391, 865, 778, 962, 383, 792, 42, 836, 646, 727 }

    Returns: 13046

  30. { 821, 859, 221, 922, 912, 563, 326, 764, 394, 308, 934, 509, 725, 267, 665, 727, 352, 706, 494, 366, 44, 942, 422, 91, 804, 300, 168, 901, 800, 432, 406, 54, 216, 621, 818, 36, 311, 56, 487, 629 }

    Returns: 11660

  31. { 251, 636, 734, 142, 493, 533, 532, 519, 566, 617, 81, 344, 125, 862, 919, 742, 66, 3, 224, 770, 275, 55, 574, 210, 355, 785, 513, 571, 266, 855, 701, 720, 364, 163, 314, 809, 780, 843, 622, 57 }

    Returns: 10695

  32. { 397, 510, 335, 521, 973, 576, 420, 180, 89, 910, 554, 570, 702, 654, 290, 685, 6, 786, 302, 91, 249, 851, 799, 9, 879, 387, 292, 628, 129, 714, 449, 78, 717, 159, 650, 281, 869, 271, 253, 364 }

    Returns: 11488

  33. { 268, 265, 254, 470, 850, 746, 225, 541, 595, 773, 924, 112, 597, 413, 965, 222, 722, 287, 263, 326, 109, 4, 776, 458, 621, 34, 211, 982, 108, 295, 974, 978, 1, 677, 600, 671, 318, 779, 328, 358 }

    Returns: 11793

  34. { 659, 384, 265, 947, 121, 568, 795, 596, 361, 906, 517, 902, 233, 906, 989, 777, 511, 694, 21, 422, 232, 956, 48, 810, 80, 328, 387, 694, 77, 748, 828, 422, 546, 764, 15, 810, 961, 423, 608, 879 }

    Returns: 13936

  35. { 821, 179, 5, 532, 129, 182, 720, 138, 418, 438, 182, 564, 506, 581, 784, 386, 327, 432, 526, 914, 265, 58, 475, 171, 363, 835, 568, 161, 694, 845, 2, 592, 945, 23, 555, 735, 958, 658, 715, 236 }

    Returns: 10877

  36. { 577, 193, 420, 514, 654, 811, 522, 843, 485, 940, 877, 345, 234, 639, 42, 885, 178, 820, 178, 304, 687, 388, 666, 525, 907, 666, 335, 783, 83, 960, 958, 672, 252, 668, 864, 739, 842, 155, 67, 67 }

    Returns: 12822

  37. { 349, 500, 347, 682, 836, 308, 69, 628, 472, 10, 359, 238, 707, 467, 439, 500, 974, 229, 573, 362, 987, 501, 45, 523, 813, 741, 78, 543, 903, 792, 369, 65, 161, 667, 225, 581, 977, 388, 862, 443 }

    Returns: 11369

  38. { 835, 784, 541, 755, 778, 788, 621, 371, 521, 561, 519, 482, 442, 727, 803, 158, 59, 112, 334, 792, 824, 622, 465, 602, 245, 355, 777, 197, 403, 567, 738, 793, 918, 884, 972, 786, 284, 22, 529, 280 }

    Returns: 11809

  39. { 291, 322, 665, 641, 930, 599, 164, 305, 794, 193, 145, 886, 477, 571, 658, 74, 892, 553, 85, 971, 747, 15, 524, 253, 634, 930, 872, 5, 326, 735, 310, 163, 909, 317, 206, 232, 310, 338, 286, 372 }

    Returns: 10727

  40. { 653, 257, 39, 982, 596, 137, 954, 645, 501, 277, 139, 667, 825, 750, 302, 452, 610, 195, 837, 673, 332, 560, 1000, 504, 644, 75, 760, 210, 738, 409, 927, 10, 176, 831, 592, 468, 15, 196, 744, 621 }

    Returns: 12398

  41. { 966, 778, 174, 654, 174, 248, 411, 267, 880, 624, 490, 737, 911, 628, 832, 339, 425, 686, 330, 995, 834, 766, 63, 930, 135, 344, 700, 690, 143, 54, 743, 82, 313, 5, 267, 448, 853, 309, 685, 264 }

    Returns: 12416

  42. { 846, 103, 386, 181, 956, 244, 797, 514, 97, 883, 523, 642, 106, 336, 766, 975, 105, 19, 116, 921, 700, 745, 172, 763, 587, 309, 173, 492, 482, 173, 960, 390, 466, 980, 166, 625, 9, 811, 453, 185 }

    Returns: 12446

  43. { 940, 374, 16, 245, 610, 761, 321, 435, 296, 25, 219, 585, 697, 586, 190, 184, 993, 401, 416, 198, 539, 883, 815, 918, 717, 838, 958, 168, 858, 11, 984, 578, 429, 426, 269, 601, 879, 388, 599, 612 }

    Returns: 12033

  44. { 622, 863, 50, 735, 668, 980, 585, 25, 279, 560, 634, 228, 900, 898, 570, 636, 283, 514, 33, 493, 401, 228, 512, 990, 248, 697, 492, 124, 84, 505, 682, 641, 28, 19, 586, 771, 148, 463, 700, 764 }

    Returns: 11236

  45. { 786, 120, 276, 229, 656, 377, 478, 927, 852, 91, 128, 341, 206, 564, 910, 736, 1, 661, 157, 900, 132, 990, 960, 786, 605, 517, 517, 630, 762, 739 }

    Returns: 9305

  46. { 998, 41, 740, 633, 630, 927, 358, 887, 639, 209, 445, 374, 619, 616, 659, 632, 500, 390, 558, 722, 486, 392, 791, 928, 308, 873, 50, 409, 71, 153, 50, 458, 410, 45 }

    Returns: 9710

  47. { 307, 322, 35, 140, 667, 1, 884, 44, 546, 239, 548, 881, 222, 459, 55, 158, 642, 280, 237, 561, 925, 539, 38, 699, 107, 116, 449, 418, 720, 487, 983, 743 }

    Returns: 8434

  48. { 917, 19, 978, 687, 346, 245, 677, 708, 565, 940, 211, 127, 993, 768, 469, 279, 460, 335, 734, 130, 691, 783, 182, 391, 827, 295, 534, 263, 193, 498, 327, 120, 690 }

    Returns: 9397

  49. { 930, 235, 680, 718, 932, 471, 908, 14, 754, 695, 76, 601, 388, 606, 957, 580, 961, 512, 510, 979, 442, 602, 341, 641, 153, 196, 974, 937, 936, 487, 820, 243, 738, 313 }

    Returns: 12413

  50. { 599, 122, 578, 834, 875, 684, 43, 120, 304, 668, 346, 820, 247, 109, 246, 174, 615, 696, 342, 292, 458, 168, 671, 725, 856, 451, 914, 880, 385, 961, 187, 630, 121, 439, 730 }

    Returns: 9857

  51. { 353, 440, 165, 53, 928, 155, 362, 835, 399, 526, 387, 444, 992, 721, 430, 493, 708, 927, 112, 997, 772, 49, 60, 586, 20, 363, 182, 866, 762, 378, 666, 544, 98, 175, 290, 665, 703 }

    Returns: 10090

  52. { 305, 392, 546, 548, 795, 60, 160, 392, 107, 871, 565, 810, 708, 463, 157, 810, 535, 783, 454, 541, 735, 129, 813, 394, 492, 973, 927, 450, 496, 189, 160, 695 }

    Returns: 9628

  53. { 606, 549, 257, 305, 395, 604, 477, 488, 643, 885, 46, 141, 626, 699, 563, 916, 696, 145, 814, 689, 430, 191, 826, 259, 641, 414, 180, 569, 140, 514, 432, 89, 682, 781, 491 }

    Returns: 9683

  54. { 349, 187, 672, 268, 750, 926, 787, 578, 784, 795, 991, 9, 416, 981, 355, 840, 850, 501, 53, 794, 712, 740, 833, 113, 401, 285, 952, 422, 535, 532, 102 }

    Returns: 10170

  55. { 505, 335, 897, 676, 535, 315, 426, 899, 240, 304, 986, 370, 648, 816, 572, 737, 818, 349, 916, 778, 689, 785, 872, 909, 562, 172, 710, 702, 658, 665, 465, 94, 522, 476, 828, 677, 674 }

    Returns: 12251

  56. { 172, 190, 766, 550, 250, 69, 703, 254, 746, 730, 638, 908, 379, 74, 470, 473, 457, 529, 505, 186, 865, 873, 239, 528, 238, 958, 788, 731, 695, 428, 360, 69 }

    Returns: 8604

  57. { 473, 313, 573, 144, 708, 739, 673, 913, 268, 258, 729, 444, 310, 647, 367, 384, 193, 239, 19, 259, 761, 531, 106, 368, 306, 319, 847, 317, 983, 729, 771, 69, 695, 973, 626, 797, 689, 258, 516 }

    Returns: 10524

  58. { 445, 298, 806, 321, 703, 71, 514, 289, 881, 992, 675, 644, 470, 469, 430, 353, 461, 907, 392, 394, 244, 544, 185, 350, 958, 192, 930, 453, 726, 844, 819, 197, 797, 323, 889, 835, 142, 650, 538, 87 }

    Returns: 12570

  59. { 544, 343, 159, 19, 538, 237, 747, 936, 522, 189, 47, 167, 123, 88, 891, 10, 232, 674, 77, 617, 162, 995, 614, 356, 369, 47, 100, 515, 408, 988, 676, 456, 816, 523, 56, 236, 891 }

    Returns: 9273

  60. { 924, 602, 959, 7, 608, 218, 523, 697, 292, 980, 881, 265, 205, 256, 198, 862, 142, 940, 715, 482, 425, 288, 791, 929, 876, 594, 704, 404, 682, 901, 719, 450, 81, 114, 738, 498, 657, 72, 966 }

    Returns: 12263

  61. { 645, 358, 416, 829, 50, 903, 750, 931, 600, 705, 910, 593, 487, 337, 221, 789, 630, 227, 171, 488, 702, 131, 867, 260, 501, 580, 255, 385, 319, 573, 527, 664, 854, 236 }

    Returns: 9984

  62. { 965, 850, 698, 178, 936, 112, 944, 46, 288, 741, 23, 903, 454, 448, 539, 578, 469, 579, 32, 703, 424, 61, 488, 178, 902, 797, 933, 55, 380, 209, 791, 226, 739, 474, 431, 388, 614, 745 }

    Returns: 12773

  63. { 281, 549, 86, 524, 881, 611, 104, 384, 274, 353, 302, 581, 237, 805, 988, 874, 100, 482, 166, 190, 363, 206, 206, 21, 659, 945, 273, 554, 84, 740, 392 }

    Returns: 7971

  64. { 617, 244, 782, 414, 340, 346, 583, 148, 435, 840, 360, 773, 488, 160, 873, 751, 438, 695, 410, 910, 652, 350, 617, 727, 970, 596, 184, 452, 256, 408, 903, 207 }

    Returns: 9479

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