Statistics

Problem Statement for "AverageProblem"

Problem Statement

You are given the results of a sociological survey containing several questions. Each participant was required to answer each question with an integer between 0 and 10, inclusive. You are given the average answer for each question, but the decimal portion of each average is truncated after the first three digits. For example, if there were three participants and their answers to a particular question were 4, 6 and 10, the average for that question would be given to you as 6.666.

You are given a String[] marks. Each element of marks is a single space delimited list of numbers. Each number in marks is the average answer for a survey question. Return the minimum possible number of participants that could have taken this survey.

Definition

Class:
AverageProblem
Method:
numberOfParticipants
Parameters:
String[]
Returns:
int
Method signature:
int numberOfParticipants(String[] marks)
(be sure your method is public)

Constraints

  • marks will contain between 1 and 50 elements, inclusive.
  • Each element of marks will contain between 5 and 50 characters, inclusive.
  • Each element of marks will be a single space separated list of numbers, where each number is between 0 and 10, inclusive, contains no extra leading zeroes, and contains exactly one decimal point followed by exactly 3 digits.
  • marks will contain between 1 and 50 numbers, inclusive.

Examples

  1. {"0.000"}

    Returns: 1

    There will always be at least one participant. In this case, the smallest number of participants that could have produced this result is 1.

  2. {"0.500 0.250", "0.125"}

    Returns: 8

  3. {"0.500","0.300"}

    Returns: 10

  4. {"0.500","0.301"}

    Returns: 106

  5. {"0.001", "0.002"}

    Returns: 667

  6. {"10.000", "2.000 5.000"}

    Returns: 1

  7. {"9.000 2.000 5.000"}

    Returns: 1

  8. {"1.234 5.678", "9.876"}

    Returns: 252

  9. {"0.001", "0.002", "0.003", "0.004", "0.005", "0.006", "0.007", "0.008"}

    Returns: 889

  10. {"9.998 9.997 9.996 9.995 9.994 9.993 9.992 9.991"}

    Returns: 889

  11. {"5.155 8.890 5.310"}

    Returns: 174

  12. {"8.748 4.546 1.651"}

    Returns: 227

  13. {"1.742 4.557 4.490 9.003"}

    Returns: 314

  14. {"3.237 9.126 4.738 1.879 7.945"}

    Returns: 333

  15. {"7.751 6.444 3.915 1.483"}

    Returns: 153

  16. {"2.661 3.098","2.047 0.010"}

    Returns: 275

  17. {"4.931 7.765 1.656 1.334"}

    Returns: 320

  18. {"6.810 2.757 9.955","1.957"}

    Returns: 379

  19. {"3.406 1.198 7.056 6.371"}

    Returns: 423

  20. {"0.707 5.740 0.634","3.947"}

    Returns: 304

  21. {"5.371 0.351 1.576 2.843"}

    Returns: 307

  22. {"4.639 7.450 3.419","5.069 4.303 1.389 3.804","0.149"}

    Returns: 577

  23. {"7.707 0.078 1.691 2.890","2.899 1.834 6.816 7.733 1.196"}

    Returns: 687

  24. {"4.419","9.733 5.635","1.745 2.002","1.906 8.927"}

    Returns: 472

  25. {"6.346 7.853","9.300 5.561 2.586 6.201","1.804 2.170 5.569 4.518","1.363 0.582 2.002 2.504 1.810","6.702"}

    Returns: 716

  26. {"8.887 3.425","4.048 7.033 2.653 3.202 5.493","9.520 1.923 3.265","1.387 8.802 3.250","1.257 8.925 0.566"}

    Returns: 780

  27. {"1.742 8.784","3.387 1.405 3.948","7.018 1.832 0.582 4.762","8.193 9.614","1.677 9.983","4.110 8.978"}

    Returns: 776

  28. {"8.554 4.798 5.924 4.046 6.894 4.779","9.073 0.512 5.776 6.128 0.690","0.647 0.753 0.967 6.114","0.902 5.784 7.601 0.931 2.623","2.080 8.521 9.448 8.144","6.336"}

    Returns: 859

  29. {"2.623 8.492","1.460 0.146 0.720 1.313","3.376 7.181","2.649 7.039","7.733 6.750","4.218 1.046","1.957 9.674 4.282 0.847 2.360 9.012 6.381","7.552 6.885"}

    Returns: 804

  30. {"4.052 8.338 4.596 7.410 8.642","6.778 4.860","2.273 0.182 0.121 7.742 6.375","3.160 3.802 4.840 0.561","2.663","0.426 3.139 9.284 8.982 6.669 8.511","5.861"}

    Returns: 760

  31. {"8.692 3.262","9.868 5.091 1.596 0.963","0.492 3.370 9.998 0.203","0.045 5.402 2.649 0.501","8.734 9.206 2.911","0.172 2.283 0.062","7.079 1.194 1.263 1.462","7.478 7.540 1.298","9.491 3.953","2.483 3.500"}

    Returns: 790

  32. {"6.466 0.205 1.641 1.317","0.217 0.133 0.593 0.930","9.538 0.847 2.435 1.226","3.532 8.158 3.174 5.279 9.609","6.244 8.280 4.703 9.854 9.493","1.189 4.653 4.568 5.013 3.295","0.582 5.536 1.101","9.154 0.887 0.716"}

    Returns: 809

  33. {"2.674 0.832 2.378 0.425","5.129 8.815 1.057 7.987","7.037 1.332 5.490 6.650 1.170","7.004 0.922","1.122 2.716 3.158 7.351 7.911 8.621","9.839 2.389 3.579 5.961","3.412 3.627 6.942","3.192 0.765 1.246","2.038"}

    Returns: 856

  34. {"6.082 0.778 0.961","3.186 3.754 1.536 7.609 4.418","0.992 2.394 9.012 8.694","9.664 1.039 9.094 2.122 1.951 6.790 4.438","8.140 4.465 0.719 7.122","0.024 5.119 6.919 8.085 1.270","2.370 2.994 1.172","9.496 9.297","1.959 4.230","6.950 2.458 9.260 0.053","8.378"}

    Returns: 932

  35. {"8.149 9.675 5.794","0.075 8.752 5.358 8.843 6.411","8.659 6.443 1.121","9.990 6.842","5.217 9.925 2.835 5.202 6.379","5.148 3.059","0.697 3.173 7.175 1.768","2.834 6.255 9.168 2.518","5.467 2.577 1.473 9.499 8.773","1.238 6.993 1.812 7.199 1.758","9.264 6.184"}

    Returns: 939

  36. {"1.333 0.776 7.961","2.546 8.457 1.951","1.473 6.600","1.849 7.577 5.229 7.173","4.844 7.069","4.299 6.909 2.251","3.982","8.976 8.842 1.361","9.960 7.594 3.436","7.187 0.062 2.913 0.852","0.460 2.612 3.421","5.766 7.752 3.352 1.873 8.985 3.987","3.830"}

    Returns: 909

  37. {"9.663 2.638 4.111 6.332 3.725 6.188","4.840 0.358 4.164 7.103 1.215","4.248 6.902 9.060 2.105 0.224","8.454 3.136 9.211 9.647 3.844 8.798","1.888 1.236 8.843 6.688","0.621 2.253 5.515 7.040 6.935","9.947 0.298","4.653","9.782 3.830 8.356 8.332","0.322 2.954"}

    Returns: 900

  38. {"2.479 6.433 3.495","5.686 4.886 8.013 6.388 3.480","4.691 3.642","5.972 3.675 8.979 5.205 2.324","4.525 0.949 8.161 5.852","7.964 1.011 3.625","5.514 7.124 4.233","3.343 3.360 7.956 5.597","2.605 2.876 0.989","1.700 9.752","5.951 0.044 7.423 5.744 6.851 8.616"}

    Returns: 934

  39. {"6.195 0.114 5.765 4.493 7.183","5.456 7.753 2.001","0.644 8.554 2.597 1.881 2.065","0.886 5.461 1.105","4.959 2.011 3.350 2.448 6.031 7.692","0.373 4.365 9.326 2.376","8.494 9.892 2.067 3.112 1.818 0.029","3.488 6.562 1.641","0.632 1.260 2.315 8.349 2.200 3.101"}

    Returns: 887

  40. {"7.056 8.970 6.288 2.815","1.823 1.217 6.034 0.139","8.105 7.131 1.555","9.451 2.136 9.913","6.341 8.987 0.749 3.365","1.592 9.643 7.041 7.743 7.213 8.027 1.167","1.178","6.551 3.304 2.543","0.360 0.136 4.156 0.556","7.908 4.534 9.778 2.517","5.145 8.678 6.602"}

    Returns: 906

  41. {"6.131 3.204 3.242 1.650","6.969 0.403","6.099 5.006 8.325 0.009 6.654 2.190 8.563","8.365 0.289 7.855 4.380","2.073 7.813","4.892 5.590 4.318","8.390 1.774 7.462","9.008 8.662 0.968 0.442 1.426 5.961","6.990 1.101 0.946 5.942","2.159 3.808 6.325 2.676 0.612 2.896"}

    Returns: 915

  42. {"6.131 3.204 3.242 1.650","6.969 0.403","6.099 5.006 8.325 0.009 6.654 2.190 8.563","8.365 0.289 7.855 4.380","2.073 7.813","4.892 5.590 4.318","8.390 1.774 7.462","9.008 8.662 0.968 0.442 1.426 5.961","6.990 10.000 0.946 5.942","2.159 3.808 6.325 2.676 0.612 2.896"}

    Returns: 915

  43. {"7.056","8.970","6.288","2.815","7.666","1.823","1.217","6.034","0.139","4.411","8.105","7.131","1.555","7.508","9.451","2.136","9.913","5.834","6.341","8.987","0.749","3.365","3.508","1.592","9.643","7.041","7.743","7.213","8.027","1.167","2.380","1.178","9.264","6.551","3.304","2.543","4.840","0.360","0.136","4.156","0.556","7.568","7.908","4.534","9.778","2.517","3.282","5.145","8.678","6.602"}

    Returns: 930

  44. {"6.131","3.204","3.242","1.650","2.000","6.969","0.403","1.442","6.099","5.006","8.325","0.009","6.654","2.190","8.563","8.742","8.365","0.289","7.855","4.380","6.119","2.073","7.813","1.156","4.892","5.590","4.318","3.371","8.390","1.774","7.462","0.768","9.008","8.662","0.968","0.442","1.426","5.961","3.717","6.990","1.101","0.946","5.942","9.625","2.159","3.808","6.325","2.676","0.612","2.896"}

    Returns: 928

  45. {"2.897 7.122 2.319 1.261","7.541 8.055","7.232 6.168 5.903 0.920","5.740 7.832 6.876","4.478 2.551 5.623 7.007 1.922","2.172 7.609 9.338","2.950 4.964 1.855","7.027","0.327 1.372 1.020 5.218","6.431 7.548","1.458 0.592 2.176 4.205","1.489 2.987 2.612","2.834 1.946 5.292 0.285","2.017 8.675 2.004 1.647","5.354 2.282 3.030","4.242"}

    Returns: 933

  46. {"0.936 1.326 0.320","5.130 8.827 5.663 4.321 2.901","3.301 5.139 8.336 0.436 5.747","7.420 1.243 2.682 3.710","3.623 1.942","1.946 5.238 7.001 4.490 5.789","9.406 5.719 6.721 9.782 0.095","2.361 6.783","7.280 4.252 8.022 0.013","8.765 0.065","7.051 0.286 1.513","9.438 8.842 4.983","6.420 2.823 7.101 1.066","5.569 9.249 9.047"}

    Returns: 934

  47. {"8.811 5.503 6.501","5.212 3.575","3.812 7.869 4.482 0.912 7.369 2.760","1.049 1.958","4.367 6.914 4.617 1.951","5.384 1.392 5.704 8.151","4.854 0.891 2.946 0.385","9.830 6.472","4.956 7.727 4.846","4.664 4.756 5.095","2.367 0.985 8.160 2.930","0.333","9.906 9.007 0.907 2.503 7.015","4.797 7.993 9.614 9.690","7.501 7.316 0.107"}

    Returns: 905

  48. {"8.676 7.377 3.242 7.647","7.105 2.331 6.280 4.237","5.957 5.360 3.081 4.560 8.720 2.299","9.189 2.856 3.300 9.601","0.325 1.668 5.988 8.530 2.294","5.732 8.139 8.422 9.153 4.026 5.396","7.370 6.294 9.349 1.989","4.724 1.019 4.867 9.293 9.864","2.645 4.775 2.343 4.290 4.500","3.127 2.877","6.993 3.856 5.846 7.689","2.183"}

    Returns: 923

  49. {"2.141 3.072 3.053 1.704 0.305","9.388 4.551 6.393 7.247 0.840 9.937","3.282 6.479","4.848 8.932 1.291","4.117 4.854 6.518 6.127 2.547","9.229 4.729 0.275","8.209 3.426 3.442","0.247 8.265 0.462 4.570","9.706 6.051 0.880 5.282 1.498 9.364 7.419","9.010 7.487","6.150 6.893 0.313 4.482 9.097 5.868 7.282","8.876 5.004 9.539"}

    Returns: 940

  50. {"3.030 7.832 6.168 1.946 7.007","5.740 7.232 2.551 6.431","0.285 2.612 7.027","9.338 1.372 7.122","2.834 4.205 1.458","2.897 2.319"}

    Returns: 754

  51. {"2.682 0.436 9.249","5.747 7.101","1.066 4.252 8.842 0.013 6.783","9.047 0.936","5.789 1.513 4.490 2.901","3.710","7.001 1.326 4.983"}

    Returns: 722

  52. {"2.760 0.891 6.501","7.993 4.482 9.830 9.690 0.985 1.951","7.015 9.614 8.160 7.727 5.704 2.367","7.869 7.501 1.049","9.906 0.107"}

    Returns: 781

  53. {"4.867 1.989 9.864","9.601 4.724","8.720 7.370 5.957","1.019 5.732 9.189 6.294 3.856","2.343 6.280 5.360","2.299 2.645 0.325 1.668"}

    Returns: 755

  54. {"9.706 7.247 3.053 8.932 3.442 6.051 6.127","3.072 8.265 0.247","4.848 4.570 0.880 0.275","9.388 5.004 1.704 9.010","4.729 6.479"}

    Returns: 839

  55. {"6.431 1.458","7.027 2.897 2.551 1.946","7.007 0.285","9.338 1.372"}

    Returns: 508

  56. {"0.436 3.710 1.513","4.252 1.326 4.983","9.249 2.682 7.001 9.047"}

    Returns: 649

  57. {"2.760 9.906 7.993 0.891 5.704 10.000 1.049","9.690 7.727 7.501"}

    Returns: 481

  58. {"1.668 4.867 9.864 7.370","6.294 2.299 5.360 2.645","2.343 0.325"}

    Returns: 618

  59. {"5.004 3.053 6.051","4.729 0.880","6.479 3.442 8.932 0.275 0.247"}

    Returns: 603

  60. {"1.458 2.551 6.431 7.007"}

    Returns: 399

  61. {"1.326 9.249","7.001 4.983 1.513"}

    Returns: 530

  62. {"7.501 5.704 7.727 10.000 7.993","9.830"}

    Returns: 301

  63. {"4.867 6.294 7.370 9.864","2.299 0.325","5.360"}

    Returns: 605

  64. {"6.051 0.880 5.004","8.932 6.479 4.729 3.442","0.275"}

    Returns: 603

  65. {"6.431 7.007"}

    Returns: 132

  66. {"1.513 9.249"}

    Returns: 253

  67. {"2.760 7.501"}

    Returns: 251

  68. {"2.299 7.370"}

    Returns: 127

  69. {"4.729 8.932"}

    Returns: 74

  70. {"10.000 10.000 10.000 10.000 10.000 10.000 10.000"}

    Returns: 1

  71. {"10.000"}

    Returns: 1

  72. {"0.001", "0.002 0.003"}

    Returns: 751

  73. {"9.999"}

    Returns: 1000

  74. {"0.001 0.002 0.003", "10.000", "9.997 9.991", "0.169 5.123 7.867", "0.000 9.999" }

    Returns: 1000

  75. {"0.641", "0.261", "1.211", "6.333", "1.835", "7.967", "3.379", "0.817", "8.593", "6.495", "5.443", "4.613", "5.633", "4.273", "1.183", "1.595", "3.809", "4.921", "7.149", "5.807", "1.327", "7.057", "4.173", "0.459", "6.607", "2.561", "9.219", "7.687", "0.107", "7.559", "0.153", "7.085", "9.195", "2.309", "8.249", "1.863", "2.959", "1.511", "3.723", "8.449", "4.903", "1.401", "1.281", "1.841", "4.827", "6.023", "4.977", "6.153", "6.205", "6.293" }

    Returns: 923

  76. {"6.974 1.488 9.475 7.681 5.538 2.085 9.098 8.876", "2.953 3.770 8.892 5.165 8.688 0.788 4.925 0.128", "6.527 6.919 5.687 6.158 4.146 3.844 3.647 4.172", "2.388 2.857 3.383 1.488 1.150 9.834 8.397 1.268", "1.111 2.532 0.158 9.881 9.624 1.165 5.982 1.891", "1.711 4.241 3.209 4.190 5.889 4.046 1.583 6.287" }

    Returns: 905

  77. {"0.123 0.915 0.315 0.667 0.666 0.125 0.347 0.859", "0.010 0.032 0.124 0.058 0.998 0.999 0.321 0.024", "0.064 0.058 0.461 0.014 0.015 0.009 0.111 0.112", "0.357 0.358 0.968 0.945 0.657 0.612 0.454 0.017" }

    Returns: 1000

  78. {"0.302 6.729", "9.632 0.003", "1.637 9.265 3.742 3.458 0.017 6.872", "5.555 1.111 3.698 1.234 4.321 1.596 1.357 9.865" }

    Returns: 783

  79. {"0.500", "0.301 0.899", "0.898" }

    Returns: 657

  80. {"0.001", "0.002", "0.003" }

    Returns: 751

  81. {"0.001" }

    Returns: 501

  82. {"0.500 0.001" }

    Returns: 501

  83. {"0.500", "0.301", "0.609" }

    Returns: 146

  84. {"0.001 0.001 0.001 0.001 0.001", "0.001 0.031 0.001 0.001 0.001", "0.001 0.001 0.001 0.001 0.001", "0.021 0.001 0.001 0.001 0.001", "0.001 0.001 0.001 0.001 0.001", "0.001 0.001 0.001 0.001 0.001", "0.001 0.001 0.071 0.001 0.001", "0.001 0.001 0.901 0.001 0.001", "0.001 0.101 0.001 0.001 0.001", "0.001 0.001 0.001 0.401 0.001" }

    Returns: 570

  85. {"2.673 3.340 8.871 1.175 6.703 4.782 7.956 1.094", "3.386 9.296 8.883 0.158 6.599 6.619 5.351 5.897", "4.273 9.736 1.229 1.218 2.123 0.353 2.358 1.018", "3.224 7.807 9.564 1.054 5.392 4.614 6.871 8.569", "3.083 9.088 3.732 8.755 2.378 9.964 1.941 7.149", "2.605 0.726 4.892 8.690 4.710 5.272 9.731 0.328" }

    Returns: 941

  86. {"0.001 9.999" }

    Returns: 1000

  87. {"0.500 0.250", "0.125" }

    Returns: 8

  88. {"1.500 1.125 10.000" }

    Returns: 8

  89. {"3.500 2.333 1.200 4.142 6.090 5.076" }

    Returns: 210

  90. {"0.390 0.486", "1.548 8.312" }

    Returns: 374

  91. {"10.000", "4.999", "0.007" }

    Returns: 1000

  92. {"5.221 1.711 6.321 8.434", "5.611 8.122 8.332 10.000" }

    Returns: 523

  93. {"0.500 1.213 2.423 4.123 4.123 1.532 5.432 1.522", "0.500 1.213 2.423 4.123 4.123 1.532 5.432 1.522", "0.500 1.213 2.423 4.123 4.123 1.532 5.432 1.522", "0.500 1.213 2.423 4.123 4.123 1.532 5.432 1.522", "0.500 1.213 2.423 4.123 4.123 1.532 5.432 1.522", "0.500 1.213 2.423 4.123 4.123 1.532 5.432 1.522", "10.000 9.999" }

    Returns: 1000

  94. {"10.000 7.999 2.123" }

    Returns: 1000

  95. {"0.001", "0.003", "0.004", "0.007", "0.997", "0.991" }

    Returns: 801

  96. {"0.005", "0.004", "0.003", "0.007", "0.004", "0.002", "0.006", "0.005", "0.008", "0.002", "0.005", "0.008", "0.010", "0.000", "0.010", "0.002", "0.008", "0.007", "0.002", "0.001", "0.003", "0.000", "0.010", "0.009", "0.005", "0.007", "0.004", "0.003", "0.006", "0.009", "0.007", "0.004", "0.010", "0.009", "0.000", "0.009", "0.007", "0.005", "0.010", "0.006", "0.002", "0.008", "0.003", "0.002", "0.006", "0.007", "0.000", "0.008", "0.008", "0.000" }

    Returns: 910

  97. {"0.666 0.333 0.125 0.301" }

    Returns: 159

  98. {"0.235 0.733 0.864" }

    Returns: 221

  99. {"6.667", "6.666" }

    Returns: 503

  100. {"0.500", "0.301", "0.407", "0.517", "0.947" }

    Returns: 398

  101. {"10.000 9.106 1.004 2.000" }

    Returns: 206

  102. {"0.001", "9.998", "0.500", "5.000" }

    Returns: 501

  103. {"6.841", "0.728", "7.130", "2.154", "8.462", "1.672", "1.361", "6.950", "5.911", "3.379", "6.604", "8.669", "5.985", "0.823", "0.799", "8.469", "8.669", "7.197", "6.626", "3.241", "8.341", "6.948", "8.174", "0.917", "3.190", "8.971", "0.425", "6.817", "4.782", "5.227", "2.101", "3.108", "3.887", "9.817", "1.793", "7.604", "5.766", "1.935", "4.522", "6.696", "7.950", "6.357", "0.870", "1.910", "6.206", "8.853", "3.629", "4.131", "9.880", "5.645" }

    Returns: 936

  104. {"0.001", "0.500" }

    Returns: 501

  105. {"9.703 8.428 8.769 4.210 0.672 5.106 4.840 1.745", "1.126 1.518 2.356 4.739 8.767 6.838 9.023 6.298", "1.111 2.529", "7.525 6.020 4.434 1.876 0.474 7.526 8.885", "9.857 7.186 1.282 0.524 5.710 9.748 0.849 2.920", "2.050 0.997 2.564 2.849 4.491 9.040 7.559 7.792", "2.222" }

    Returns: 959

  106. {"7.932", "6.393", "7.143" }

    Returns: 328

  107. {"0.000 0.999" }

    Returns: 1000

  108. {"0.204", "0.836", "0.348", "0.264", "0.205", "0.466", "0.215", "0.318", "0.365", "0.708", "0.778", "0.622", "0.596", "0.489", "0.884", "0.201", "0.790", "0.726", "0.137", "0.813", "0.013", "0.328", "0.436", "0.005", "0.155", "0.540", "0.063", "0.913", "0.890", "0.252", "0.514", "0.911", "0.655", "0.093", "0.032", "0.890", "0.844", "0.767", "0.528", "0.434", "0.742", "0.828", "0.122", "0.604", "0.294", "0.757", "0.088", "0.276", "0.476", "0.289" }

    Returns: 892

  109. {"10.000" }

    Returns: 1

  110. {"0.310" }

    Returns: 29

  111. {"0.001", "0.003", "0.007", "0.002", "10.000", "9.999", "9.998", "9.997", "5.765", "3.546", "2.645", "1.641" }

    Returns: 1000

  112. {"0.123" }

    Returns: 65

  113. {"0.007", "0.112" }

    Returns: 133

  114. {"0.500 0.250 0.001 0.002", "0.125" }

    Returns: 667

  115. {"0.301 0.801 0.392 2.000 3.012 4.001 5.233", "8.204 9.047 5.204 6.777 0.000" }

    Returns: 548

  116. {"0.500", "0.301" }

    Returns: 106

  117. {"5.500 5.125 5.650 6.777" }

    Returns: 360

  118. {"0.351 0.251 0.898 0.286 0.832 0.322", "0.982 0.300 0.855 0.301" }

    Returns: 580

  119. {"0.500", "0.301", "9.001", "0.021 9.002 10.000" }

    Returns: 683

  120. {"0.123", "10.000", "9.123", "3.456", "4.001", "9.002", "5.002", "6.004", "0.003", "0.000", "0.005", "0.006", "0.007", "0.008 0.009 0.010 0.011 0.012 0.013 0.014", "0.015 0.016 0.017 0.018 0.019 0.020", "0.021 0.022 0.023 0.024 0.025 0.026 0.027 0.028", "0.030 0.031 0.032 0.033 0.034 0.035", "0.140 0.141 0.142", "0.234 0.345 0.234", "9.082 9.234 9.235" }

    Returns: 973

  121. {"0.500", "0.333", "0.200", "0.142", "0.090", "0.076", "0.058", "0.052", "0.043", "0.032", "0.032", "0.027", "0.024" }

    Returns: 683

  122. {"0.002 0.003 0.005 0.007 0.011 0.013 0.023", "0.019 0.017" }

    Returns: 751

  123. {"0.500 0.250 0.303 0.428 0.785", "0.500 0.013 0.987" }

    Returns: 574

  124. {"6.667", "6.666", "6.601" }

    Returns: 509

  125. {"0.000", "0.000", "0.000", "0.000", "0.000", "0.000", "0.000", "0.000", "0.000", "0.000", "0.000", "0.000", "0.000", "0.000", "0.000", "0.000", "0.000", "0.000", "0.000", "0.000", "0.000", "0.000", "0.000", "0.000", "0.000", "0.000", "0.000", "0.000", "0.000", "0.000", "0.000", "0.000", "0.000", "0.000", "0.000", "0.000", "0.000", "0.000", "0.000", "0.000", "0.000", "0.000", "0.000", "0.000", "0.000", "0.000", "0.000", "0.000", "0.000", "0.001" }

    Returns: 501

  126. {"0.122 0.100 0.201", "0.301", "0.102" }

    Returns: 457

  127. {"10.000 10.000 10.000 10.000 10.000 4.345 3.456" }

    Returns: 81

  128. {"0.003", "0.007", "0.002", "10.000", "9.998", "9.997", "5.765", "3.546", "2.645", "1.641", "6.757" }

    Returns: 754

  129. {"0.500", "0.301", "0.008 0.990 0.887 3.333", "9.000 2.002 3.990 7.889 1.009 5.900", "3.888 4.999 5.002 6.898" }

    Returns: 1000

  130. {"1.001", "0.002" }

    Returns: 667

  131. {"6.205 8.190 8.219 7.389 6.191 5.555 6.793 9.657", "7.672 8.307 0.539 4.807 0.956 2.224 4.937 3.265", "6.797 8.847 8.344 5.328 2.290 9.040 2.834 3.742", "8.209 6.085 2.707 2.928 7.297 7.177 1.419 3.305", "4.686 5.982 3.078 3.765 4.673 4.744 2.880 3.837", "5.995 9.658 9.013 5.962 8.272 6.652 6.854 3.497" }

    Returns: 929

  132. {"0.001", "9.998", "5.000", "0.500" }

    Returns: 501

  133. {"0.001", "0.002", "0.003", "0.004", "0.005", "0.006", "0.007", "0.008", "0.009", "0.010", "0.011", "0.012", "0.013", "0.014", "0.015", "0.016", "0.017", "0.018", "0.019", "0.020", "0.021", "0.022", "0.023", "0.024", "0.025", "0.026", "0.027", "0.028", "0.029", "0.030", "0.031", "0.032", "0.033", "0.034", "0.035", "0.036", "0.037", "0.038", "0.039", "0.040", "0.041", "0.042", "0.043", "0.044", "0.045", "0.046", "0.047", "0.048", "0.049", "0.050" }

    Returns: 981

  134. {"0.500 0.125" }

    Returns: 8

  135. {"0.333", "0.500" }

    Returns: 6

  136. {"6.151", "3.548", "5.180", "2.763", "5.550", "2.458", "3.430", "0.890", "7.680", "0.868", "1.542", "7.917", "4.710", "5.890", "8.758", "5.409", "8.327", "7.432", "8.775", "0.370", "1.410", "7.459", "7.147", "4.942", "5.833", "4.981", "5.492", "7.288", "3.194", "5.668", "7.821", "8.105", "1.103", "3.857", "4.285", "1.981", "4.768", "8.742", "7.694", "8.360", "8.170", "9.494", "8.585", "3.250", "4.110", "2.840", "5.310", "0.200", "1.283", "5.564" }

    Returns: 908

  137. {"0.123 0.377", "0.246" }

    Returns: 381

  138. {"0.333", "0.200", "0.142", "0.090", "0.076", "0.058", "0.052", "0.047", "0.043", "0.037", "0.034", "0.027", "0.020", "0.019" }

    Returns: 717

  139. {"0.001 0.500" }

    Returns: 501

  140. {"0.500", "0.001" }

    Returns: 501

  141. {"0.499" }

    Returns: 501

  142. {"0.333 0.999" }

    Returns: 1000

  143. {"0.999" }

    Returns: 1000

  144. {"10.000", "0.500", "1.000", "2.500" }

    Returns: 2

  145. {"0.333 0.834 0.166 0.000" }

    Returns: 503

  146. {"0.001 0.002 0.003 0.004 0.005 0.006", "0.007 0.011 0.012", "0.009 0.987 0.999 0.087" }

    Returns: 1000

  147. {"10.000 10.000 10.000 10.000 10.000 4.345 3.456", "4.534 3.523 7.423 6.123 10.000 10.000 10.000", "3.432 4.532 5.234 7.424 9.000 10.000 1.099 6.666" }

    Returns: 747

  148. {"10.000 1.999" }

    Returns: 1000

  149. {"0.130 0.187", "0.135" }

    Returns: 192

  150. {"0.500 0.301", "0.250" }

    Returns: 116

  151. {"0.500 0.125", "0.250" }

    Returns: 8

  152. {"0.127", "0.131", "0.137", "0.139", "0.149", "0.151", "0.157", "0.163", "0.167", "0.173", "0.179", "0.181", "0.191", "0.193", "0.197", "0.199", "0.211", "0.223", "0.227", "0.229", "0.233", "0.239", "0.241", "0.251", "0.257", "0.263", "0.269", "0.271", "0.277", "0.281", "0.283", "0.293", "0.307", "0.311", "0.313", "0.317", "0.331", "0.337", "0.347", "0.349", "0.353", "0.359", "0.367", "0.373", "0.379", "0.383", "0.389", "0.397", "0.401", "0.409" }

    Returns: 501

  153. {"0.301", "0.107" }

    Returns: 93

  154. {"0.234", "0.345", "0.456", "0.456 0.467 0.895", "0.111", "0.332", "0.238", "0.299", "0.001", "0.000" }

    Returns: 755

  155. {"9.999" }

    Returns: 1000

  156. {"0.125", "0.300", "0.301" }

    Returns: 510

  157. {"0.001", "0.007", "0.002", "0.053", "0.057", "0.490" }

    Returns: 673

  158. {"5.224 3.715 7.367 4.642 4.264 6.154 7.961 9.542" }

    Returns: 549

  159. {"0.991" }

    Returns: 112

  160. {"0.001 0.333 9.999" }

    Returns: 1000

  161. {"0.500", "0.301", "0.714" }

    Returns: 126

  162. {"0.011 0.035 0.082" }

    Returns: 85

  163. {"0.301 0.302" }

    Returns: 538

  164. {"0.001", "5.500", "0.333" }

    Returns: 501

  165. {"0.002", "0.003" }

    Returns: 751

  166. {"0.001 0.002", "0.003" }

    Returns: 751

  167. {"10.000 10.000 0.005" }

    Returns: 167

  168. {"0.001 0.003 0.004 0.007 0.997 0.991" }

    Returns: 801

  169. {"2.000" }

    Returns: 1

  170. {"0.004", "0.008", "0.012", "0.016", "0.128", "0.252", "0.256", "0.196", "0.192", "0.132", "0.020", "0.304", "0.316", "0.320", "0.324" }

    Returns: 250

  171. {"10.000 10.000 10.000 0.500" }

    Returns: 2


This problem statement is the exclusive and proprietary property of TopCoder, Inc. Any unauthorized use or reproduction of this information without the prior written consent of TopCoder, Inc. is strictly prohibited. (c)2024, TopCoder, Inc. All rights reserved.
This problem was used for: