Statistics

Problem Statement for "FencingPenguinsEasy"

Problem Statement

Paco collects penguins. His penguins like to play and run around on the ice where he lives. In order to keep his penguins safe he decided to construct a single fence enclosure to keep danger out.


Paco's penguins have fallen asleep. Acting quickly Paco placed numPosts posts in a circular configuration on the ice. Each post is placed radius meters from location (0,0). The posts are equally spaced with the first post being placed at location (radius, 0).


To construct the fencing, Paco will connect some pairs of fence posts using straight fences. No two segments of the fence are allowed to cross. In the resulting fencing, each fence post will either be unused, or it will be connected to exactly two other fence posts. In order to minimize the damage his penguins cause to the ice, he would like to minimize the area enclosed by the fence.


In order to keep all his penguins happy Paco would like to have all his penguins in the one single enclosure. Two penguins are in the same enclosure if it is possible to walk from one penguin to the other without crossing a fence.



You are given two ints numPosts and radius. You are also given two int[]s x and y representing the (x,y) location of each of the sleeping penguins. Each penguin is small enough to be considered a point. Compute an return the smallest area of an enclosure that can contain all the penguins. If it is not possible to enclose all the penguins return -1.

Definition

Class:
FencingPenguinsEasy
Method:
calculateMinArea
Parameters:
int, int, int[], int[]
Returns:
double
Method signature:
double calculateMinArea(int numPosts, int radius, int[] x, int[] y)
(be sure your method is public)

Constraints

  • numPosts will be between 3 and 222, inclusive.
  • radius will be between 5 and 100,000, inclusive.
  • x will contain between 1 and 50 elements, inclusive.
  • y will contain the same number of elements as x.
  • Each element in x will be between -100,000 and 100,000, inclusive.
  • Each element in y will be between -100,000 and 100,000, inclusive.
  • No penguin will come within 10^-6 of any potential fencing.
  • No two penguins will occupy the same location.

Examples

  1. 3

    5

    {-1}

    {0}

    Returns: 32.47595264191645

    There is only one possible enclosure that uses all three fence posts.

  2. 30

    5

    {6}

    {0}

    Returns: -1.0

  3. 4

    5

    {2}

    {1}

    Returns: 25.0

    If the posts are numbered starting from 0 at (radius, 0) and increasing in the counter-clockwise direction. The resulting possible answers would be: (0,1,2) (0,1,3) Both enclosures cover the same area.

  4. 4

    5

    {2,-2}

    {1,-1}

    Returns: 50.0

  5. 222

    100000

    {99922}

    {2131}

    Returns: 339913.95700621605

  6. 222

    9944

    {2}

    {1}

    Returns: 2798279.8324775733

  7. 222

    100000

    {2}

    {1}

    Returns: 2.82988580831172E8

  8. 221

    100000

    {-1}

    {0}

    Returns: 2.842830900932188E8

  9. 3

    5

    {0}

    {0}

    Returns: 32.47595264191645

  10. 5

    5

    {0}

    {0}

    Returns: 26.582837761001244

  11. 221

    100000

    {0}

    {0}

    Returns: 2.842830900932188E8

  12. 221

    100000

    {99999,-99999,0,0}

    {0,0,99999,-99999}

    Returns: -1.0

  13. 221

    100000

    {9999,-9999,0,0}

    {0,0,9999,-9999}

    Returns: 3.0956476991920624E9

  14. 221

    100000

    {90000,-90000,0,0}

    {0,0,90000,-90000}

    Returns: 1.9732351952117462E10

  15. 221

    100000

    {-98000,98000,0,0}

    {0,0,98000,-98000}

    Returns: 1.9998484473052315E10

  16. 221

    99999

    {-98000,98000,0,0,-100000}

    {0,0,98000,-98000,0}

    Returns: -1.0

  17. 19

    98367

    {-8265, 33827, 22093}

    {-2391, -13761, -31460}

    Returns: 6.070545058452121E9

  18. 162

    12230

    {5344, 5788, 1973, 1018, -1553, 3484, -5129, -2216, 940, 1801, -1515, 3273, 5678, 1143, -4650, -2839, -2328, 2698, -5220, 4774, 4397, -2539, -6049, -5702, -1126, 5551, 5880}

    {-4133, -1842, 5834, -4293, -5267, -280, 186, -2891, -3349, -3143, -5447, 4932, -356, -1861, -1390, -2185, -4323, 5151, -5317, -3800, -4611, 4475, 1449, -5188, 1545, 1326, -5047}

    Returns: 1.912597522949534E8

  19. 62

    76332

    {-19811, -5239, 29764, -22632, 14628, 24051, -19423, -25746}

    {-22484, 5586, -7865, -1963, 2032, 16305, -25352, 23249}

    Returns: 5.6936546756275425E9

  20. 59

    79871

    {-29647, 30233, -5090, 33338, 6178, -6214, 27001, 19305, -12742, -29792, 17370, 21796, 13941, -22865, -31145, -23293, -25356, -26413, -33189, -18780, -15101, 4464, 31618}

    {11596, 28585, -33146, 34590, -31162, -29242, -19087, -34814, -22129, 38550, -30622, 8060, -25882, -3541, 20758, 17225, -14755, -18400, -2214, -12901, 34229, 12534, -27397}

    Returns: 8.087840884929476E9

  21. 186

    47714

    {-11493, -11393, -1025, 21524, 23196, -17707, 2678, -13551, 7620, -19205, -8372, -14149, 15650, -17573, 20285, -7000, 16509, -4411, 11517, -11323, 4919, -14512}

    {-22682, 8076, -3077, -14192, 2570, 21226, -4764, -14191, -15193, 8010, -22370, 23087, 11968, -2186, -22217, -20873, -2922, -13626, -8389, 780, -19675, -1514}

    Returns: 2.734315689082299E9

  22. 191

    27923

    {-9512, 3027, 12034, -2144, -51, 13281, -8256, 4926, 11951, 2334, 4289, 1998, 10450, 13488, 8471, -11763, 9418, -6466, 9312, 12124, 1332, 3750, -13758, 3290, 5263, 10378, -10762, -3559, 10930, 9010, -6670}

    {4419, 9650, 3857, -2479, 592, -2290, -12808, -3155, -12077, 7587, -8515, 816, -4859, -9742, -8800, 10612, -10413, 2138, 11550, 9671, -4191, 2501, 8836, -11348, 7159, -9731, -10495, -1029, 4231, 6938, 1146}

    Returns: 1.0537436174149778E9

  23. 185

    58941

    {21011, -29338, -2976, -21103, 13829, -9573, -29258, 21748, -14294, 470, 13375, 21660, -8883, -27724, -1388, 15098, 29388, 19121, 22756, 10414, 22109, 7283, 9063, -11828, -3552, 25435, -12704, -14246, 16893, 6011, -20456, 11388, 12091, -10259, 29453, 18971, 11805, 4900, -16337, 12987, 27077, 21076, 4671, 13934, 238, -19596, -20082, -16993}

    {-25711, 5090, 12256, 3589, -9628, 14266, -28943, 13789, -188, -16910, 27898, -23135, 29401, 18471, 4281, 5632, -18380, 25821, -20450, 23149, 24688, -5621, 17767, -18443, -13728, 27370, 24221, 17888, -8300, 18696, 5278, 13842, 5000, 12421, 18101, -13706, 12617, -2575, -4426, -20153, 11076, 26163, 136, -25355, -23440, 28762, 1495, -16310}

    Returns: 5.309221668168796E9

  24. 6

    65468

    {5637, -3193, -1918, -27973, -5072, 13985, -16395, -13414, 13013, 5472, -24672}

    {16138, -4027, -28247, 11723, 27996, -30955, 17838, 2119, 4223, -25548, -30087}

    Returns: 7.4236719938070755E9

  25. 187

    30075

    {-234, -13368, 14797, 5937, 1695, 3738, -8483, -11889, -4428, 7028, 11956, 6883, -6531, -7060, -14795, -690, 8664, 2585, -11650, 10669, 11334, 6344, -1012, -1890, -5813, -6547, -2154, 6393, -13975, 8749, -2466}

    {899, 10965, -8599, -10771, -783, -6253, -11032, 7260, -12529, -5670, -7889, -2743, -18, 11248, -2743, -12738, -10778, 9206, 6105, -10899, -428, 6540, 10290, 10900, 13781, -1628, -11696, 8946, -4749, 7345, 5511}

    Returns: 1.1127595182035787E9

  26. 73

    48024

    {-7721, -15922, 6874, -21554, -15213, -6174, -13187, 4564, -2540, -11431, -22085, -9923, -2835, 11248, -9420, 10584, 16503, 20437, -7414, 17509, -1765, -13950, 19589, 9955, -11009, -5719, -23442, -2829, -19129, 11539, -4508, 7659, 8148, -22355, 17731, -19194, 13801, -1886, 18476, 13181}

    {10392, 19379, -14508, 22444, 526, -16244, 1962, 20573, 4962, 14242, -2049, 14426, 16717, -11758, -10292, -16789, -19373, 15827, 1262, 21258, 15121, 18362, 10601, -21908, 20396, -10350, -18680, 19349, -9926, -9433, -17835, -11035, 2278, -3305, -23276, -20782, -17373, 18576, -17983, 13068}

    Returns: 3.5097948803617997E9

  27. 190

    83149

    {23917, 17597, 35996, -37384, -23152, -21403, 14356, 20420, 17644, 4735}

    {-3425, 5190, 7920, -31416, -33290, 9165, 35560, 26220, -22582, -32653}

    Returns: 7.279846325374517E9

  28. 62

    79613

    {25464, 3287, -17695, -25904, 27933, -32497, 13337, -8152, 1621, -30784, -35083, 29889, 6457, 27960, 7733, -26033, 31044, 33752, 36045, 7629, 3808, 38460, 9237, 14215, 33716, 15215, 11231, -22299, 1398, -16934, -5550, 20619, 29818, -19063, -8889, 10935}

    {25029, -7875, -9359, 6004, 26086, -27633, 33016, 18524, 29207, 22501, -6890, -27243, 22103, -11890, -33157, 20965, 10762, 7461, -7961, 10711, 25060, -7948, 17974, 1188, 29616, -21914, 25998, -21833, 17609, 19433, -8172, 35440, 27890, -15634, 36846, 1811}

    Returns: 8.167354546261704E9

  29. 202

    56067

    {25576, 14894, -13709, -1721, -19958, 314, 16845, 14751, -9861, -25639, -19583, 24790, -23099, -4037, 19586, -25733, 4317, 21027, 20647, 3708, -14398, 1979, 18327, 7726, -13602, -17326, -1295, -23858, -21609, -15237, 7209, -5137, -14704, 254, 24945, -24095, 7331, 26515, -12417, -15051, 21384, -18122, -1228, -25644, -24402}

    {1580, -25719, 27231, 13308, -7794, 9470, 17559, -18728, 8525, 23365, 1131, 12941, 21028, 12896, -16287, 21552, -3030, 641, 5269, -16125, -24146, 13060, -25847, -5371, 15636, -19914, -10722, -726, 219, 12723, -1475, -22827, -14343, 15504, 10410, 15583, -17664, 15526, 15611, 9228, -9289, 24775, 22418, 23792, 835}

    Returns: 3.9522185725746336E9

  30. 198

    58029

    {7742, 21612, 16929, 10160, -10691, 11188, 9790, -10331, 423, -25332, 7851, 24438, 18753, -17321, 22962, -13463, 4712, -23361, -7971, 25296, 27519, 26588, -14665, 5632, 12973, -21545, 19043, -18893, -4589, -28369, -15647, 27308, -28114, 14591, -11773, -19298, -20102, 12379, 22435, -9228, -10020, -28551}

    {-14234, -8799, -21252, 7361, -2048, -8739, 4628, -9169, -1728, 2619, 2432, 9473, -1522, -12355, 19219, -15400, -21810, -16271, 25543, 13190, 7734, -20062, 17555, 20396, -2501, 11605, -9904, -14917, -12933, -17385, -24066, -5743, -13013, 16173, 12659, -23013, 25281, 2398, -28733, 27478, 20871, -15056}

    Returns: 4.361130358390214E9

  31. 37

    62698

    {-23425, -9776, 28048, -28848, -27052, 12290, 2213, -28353, -13901, 2037, -29738, 28127, -22482, 3090, -25371, -8662, -20780, -101, -12691, -24933, 10652, -8661, 18630, 13411, -11720, 28885, 10650, 1606, -16314, -825, -27094, -9789, 10490, 12313, 18877, -22313, -21922, 15860, -22820, -7832, 26900, 28755, 22706, 14970}

    {-28832, 6291, 18665, -125, -3418, 16340, 25886, -25275, -20937, 23884, 989, 22185, -15637, 26746, 5593, -18853, -1558, -28755, 26352, 29222, -3385, -26555, 10416, -27617, -18112, -27415, -31326, -12597, -10201, 24800, -4853, -10888, 10026, 15789, 3938, 14021, -21161, -30787, 3936, 14923, 12089, 11597, -8384, -15360}

    Returns: 6.367810300193945E9

  32. 10

    47308

    {8021, 26, 19716, 5222, -11096, -15101, 1373, -20543, 14644, 15114, -16480, 13584, -5019, -10723, 791, 22004, 21527, -4315, 8028, 5534, -11714, 15099, 22565, 21618, 196, 13005, 18708, -11378, 9522, 11300, -16662, -15502, 17416, -22275, -14261, 8839, 13714, -1840, -15358, -13130, 22524, -21254, 6136}

    {20207, 2834, -18430, -1075, -14592, -18568, -22375, 5430, -18755, -832, 17961, 1952, -7335, 20517, 18022, -1042, 11770, 10296, -15493, 7717, -21780, 17118, 9397, 22286, -14338, -2431, 3437, -8258, -330, -10400, 5254, -4980, 267, -21782, 21872, -9023, 7392, -8982, -23414, -5361, -20114, -20488, 20911}

    Returns: 3.8505090509710093E9

  33. 109

    10496

    {3588, 35, 2786, 3266, 4289, -2027, 207, 4243, -2664, 2574, -4861, -209, -5004, -3358, 736, 1845, 3842, 3839, -5203, -3090, -23, -3638, 659, 3364, -1986, -452, -3205, 1952, 1797, 1038, -4616, 4319, -5169, -1070, 3110, 2337, 5066, 1151, -159, -5101, -2077, 915, -8, -2425}

    {-4079, 2959, -1210, 1497, -1827, -3724, -2767, 4017, 1326, 1803, -1693, -2106, 4857, 3347, -5243, -4100, -2160, -3410, 4761, 927, -1239, 462, -4899, -2793, -2937, 1371, 1331, -1878, -3332, 2323, 1080, 3891, -2949, -5178, 1804, -2116, 1937, -660, -1160, -2471, 1382, -2522, -2535, -50}

    Returns: 1.5102224923766798E8

  34. 194

    64738

    {8298, 8802, 6034, 4502, 27953, -6287, -25382, 10502, 15336, 6671, -7434, -27012, -866, 596}

    {10175, -26661, 29379, -7720, -9460, 20172, 21593, 25695, 6558, 30712, 1644, -16949, -22626, 5466}

    Returns: 4.92380063616577E9

  35. 196

    34263

    {7008, -12971, -1384, -11422, -14527, 10865, -13253, -12948, -1007, 5047, 14598, -7086, 11211, -5566, 3187, -7470, 4312, 11977, -14300, 5475, 7145, 6467, 3357, 3841, -6346, 831, -7629, -5894, 6655, -6925, 4189, 14889, 14058, -8665, 13444, -16172}

    {-5053, 11040, 1670, 8752, 13115, 15800, 10339, -1031, -5412, 5171, 542, -9374, 13237, -8059, 13588, 3864, 16070, 4392, 17063, -12491, 4147, -8838, 2486, -16245, 22, -12643, 12219, 16981, 12238, 9427, -15040, -16402, 10383, 11354, 2936, -296}

    Returns: 1.4260866681276455E9

  36. 142

    53868

    {5469, -14615, -10909, -4040, -2446, 21991, 10878, -24345, 8606, 9065, -23531, 9147, -8746, 26183, 13548, 11332, -744, 8202, 18177, -18552, -11368, 13060, -6248, -25055, -18191, -2702}

    {24447, -21515, -754, -10926, -9632, -4528, 24661, 6846, -6479, -19812, 13206, -8066, -25464, 12105, -19540, 18202, -14889, -26490, 21925, -3145, -16949, -10230, 6549, 18239, -15331, 5106}

    Returns: 3.6374077971217933E9

  37. 221

    12397

    {3457, 6186, 3897, -5838, -4502, 4899, -607, 922, 4240, -458, -2167, -6091, -2114, -4909, 375, 5462, 4410, 3127, 3842, -5828, -246, -2019, 2776, 3922, -5338, 4182, 3748, -6043, 820, 5938, 622, 5346, -6091, 4659, -1042, 5919, -5712, -4149, -5101, -1513, 4856, -756, 2896, 937, -5023, -5954, -5755, 5750, -1507, -1432}

    {765, 5335, -1327, -3919, 650, -2349, 6190, 883, -3360, 5408, -5526, -461, 307, 4599, 226, -252, -3657, 3523, -1027, 2977, 5311, -3143, 3643, -1024, -3853, 5899, 1761, 91, -4304, -1626, -451, 3319, 1965, 4910, -1915, -5820, 5057, -3739, 2492, -1878, 1324, 5704, -5337, 2255, 1026, 4923, 1461, -5191, -4383, -779}

    Returns: 2.215151291228196E8

  38. 222

    15561

    {-4026, 1150, 3359, 6649, -1489, -4466, -399, -784, -5918, 7659, -6528, 1185, 3228, 1362, 3120, 2301, -4195, -5755, 5949, -1461, 3867, -498, -7155, -6824, 4506, 1935, 1101, -5744, 2763, -1409, 5742, 1942, 1800, -1696, 4100, -1284, 2601, 2859, -5574, 5920, -7326, -3702, 4416, -6005, -3985, 3951, 2711, -2234, -4026, 6591}

    {6022, 386, 4450, 7306, -6501, -5454, 5790, -4627, 7608, 2353, -2267, -2832, 1589, 4984, -7378, -3457, 4569, 5322, 2826, 575, -3434, 2874, 3709, 5981, 2425, -6076, 1676, 7692, -4899, 4539, -5882, 4687, -3898, -3265, 1000, -6827, 2428, 5513, -6182, 3339, -4449, -3005, 2800, 6383, -3700, -158, 2484, 4793, -6679, -7578}

    Returns: 3.61738573194942E8

  39. 221

    31216

    {8706, 640, -6383, -6473, -9086, 9617, 12727, -11902, 8562, -3420, -6946, -8145, 4100, 15234, -5150, 6211, 14251, -1354, 15183, 13233, -1691, 3996, -9074, 8868, 5480, 6884, 133, -11573, 3935, -2106, 3991, 986, 13046, -13054, 8830, -8576, 1961, -2971, 5993, -598, -6912, 11815, -8431, 12578, 5308, 5564, 1260, -3457, 10194, 4213}

    {-3023, -4416, -6261, 9002, -11854, 7186, 4801, 4682, -3719, 6059, -6464, 10011, -15326, -12282, -4295, -12554, 1940, 6639, 3966, 15427, -14538, 14542, -2169, 13915, 9726, 13734, 9134, -10827, -1140, -8407, 10973, 2428, -9373, 15249, -12267, 11284, -13205, -628, -10217, -9703, -6686, 9958, 15412, -4232, -12461, 8329, 7407, 3657, -5442, 7493}

    Returns: 1.4307775648945897E9

  40. 222

    81399

    {25450, 33639, -15051, -6037, 18559, 23211, 33032, 11891, 19622, 36923, 27559, -10874, 859, -19560, 256, 40172, -23984, 14380, -33489, -11685, 22675, -6408, -2410, -39449, -11100, -5369, -6756, 23864, 40619, 20190, 36416, 14157, -29371, 1277, 34340, -3032, 12889, 17341, -24563, 28649, -15920, 23704, 35407, 23423, 25208, 23970, 30451, -17749, -31260, 17449}

    {19467, -29639, 24828, -28365, -28436, -10880, 1298, -25234, -33106, -14824, -40586, -6834, -16627, 7505, 39750, -12764, 27373, -17646, 28520, 38933, 6055, 11279, -25260, -20081, -7194, 40126, 37556, -12395, -30909, 1949, 301, -34346, 18570, 10680, -33646, 22750, 16053, 39870, 27926, -11712, -9341, 6394, -24823, -6114, 2262, -21663, -29389, 18700, 18701, 2459}

    Returns: 8.150599819676901E9

  41. 221

    68498

    {-34070, -17049, -20285, -31655, 2579, 12799, -17459, -16538, -2714, -18453, -21982, 19868, 20856, 22100, 18658, 1392, 13630, -13698, -10707, 27539, -4494, -25978, -29900, 7416, 29493, 6068, -21852, -26018, 32175, 17390, -22861, -31009, 21058, -5746, -33833, -18389, -32522, 27687, -24545, 29814, 16299, 4135, 19629, 11269, 1337, -27199, 7747, -4917, 10921, -14092}

    {-29905, -5445, -27429, 13822, 14642, -34230, -21172, 9342, -21803, -32791, -27309, -27516, 21960, 19872, 21212, -33938, -10688, -23643, 33491, -19810, -10745, -33436, 29938, 30551, -16316, -25584, -25252, 26221, 32332, 15308, -22288, 29119, -10544, 3773, -23709, -31108, -2145, -6613, 12326, 17528, -7919, -18869, -25448, -31715, 1661, -7516, 24050, 21932, -20086, 16195}

    Returns: 6.967201339218625E9

  42. 222

    4544

    {-558, -717, 1622, -577, 1699, 2096, 1542, -166, -508, -1066, -2053, -309, 605, 242, 671, -896, -695, -2166, 520, -1674, -63, -1150, 2114, 1054, 1263, 1208, 1469, -1536, -455, 1769, 974, 746, 1374, -2162, 1087, -2119, 2057, -1713, 55, 471, 36, -1909, -2197, -814, 899, -1564, 1208, 473, 1955, 1207}

    {-73, 520, 407, 670, 1682, 1217, 873, -702, -1001, 1638, -1403, -140, -1965, 932, 938, 1619, -215, -2043, -1273, 17, -1328, 922, 56, 17, -493, -1009, 1777, -1102, 1919, -1440, 563, -1365, -2060, 936, 1191, 112, 2256, -834, -1008, 702, -462, 186, 850, -314, -1274, -2102, 404, -1021, -827, 964}

    Returns: 2.756201541283705E7

  43. 221

    92255

    {27191, 28115, 35273, -44631, 43579, 12749, -16135, 24119, 44616, -10639, -7407, -37972, -14978, -41441, 22097, -5798, -5670, -13314, 18055, 12912, 4767, 17683, 20842, -240, 15220, 20221, -6046, -4487, 15751, 30802, 21664, -25963, 4049, 45623, -18899, -239, -5312, 13827, 31131, -35822, 37434, 23300, -37669, -27255, 7101, -37019, -4156, -14235, -34657, -1728}

    {42157, -10168, -26629, -22397, 2466, -32170, -28755, -36308, -38669, 6971, -32037, 19678, -37134, -45400, 34843, 9258, 39904, -41655, 26007, 33937, -21374, 38269, 33470, 5744, -18323, 15211, -16982, 849, -11387, -18347, -30203, -22521, -43916, -43849, 3531, -44557, 9803, -31421, -21868, 24827, -43069, 1376, -34472, 35751, -23065, -26870, 34073, 43430, -3892, -26148}

    Returns: 1.1004013395357029E10

  44. 222

    65696

    {10133, 16211, -15010, -21643, 18743, -19350, -14885, -21362, 17867, -9707, 11118, 10385, -28461, -17938, -32628, 2136, -28919, -27410, -23619, -21096, -22206, 24284, 30938, -31085, -28981, -5469, 3040, 16468, -2142, 30118, 6730, -9899, 31354, 26181, 11656, 8580, 20316, 30011, -14408, 24255, 4741, -26725, 21078, 10354, -9790, 23200, -16459, -18395, 13630, -30902}

    {10853, -13905, -6885, 31695, -8039, -17755, -14228, 23085, -12554, 6863, 4005, 20202, -13790, -30139, 26694, -18636, 2019, 29395, 3799, -18193, -10810, 20989, 6802, 17843, 18177, -1121, 193, 15435, -20542, 28799, -11263, -2755, 5648, 15713, -2231, -15503, -6645, -27843, 17123, 14724, -26898, 32567, -9932, 15943, 4486, -4823, 10687, 16910, -1871, 28998}

    Returns: 6.087562313298213E9

  45. 221

    62700

    {-9642, 6650, 13252, -4457, -26900, 22596, 23356, -24953, -637, 11136, -9980, 1140, 19884, -1822, -14395, 2352, 17132, 28169, 15858, -6618, 23953, -10831, 18980, -11993, -8809, 16067, -30032, -11804, -26226, -13964, -28074, -17962, -8115, 21710, -19051, 24243, 5351, -16751, 18096, -13001, 16225, 21520, -17889, 26735, 16633, 16805, 10470, 6585, 16328, 6624}

    {13050, -4622, 17901, -27034, -15720, -25870, 8255, 17425, 16625, 18694, 25361, -23756, 20812, 10397, 8648, 28610, -25050, 21544, 29751, 10509, -28434, -16838, 594, 7212, -26947, -21059, -17979, 28612, -17876, 10566, 20441, -28361, -29858, -23703, 23170, 23837, -12203, -6660, 10684, -15066, 20431, 18948, -28882, 11676, -18879, -1968, 79, -22530, -508, 25124}

    Returns: 5.057293479567515E9

  46. 222

    1297

    {-362, -343, -235, 502, -630, -81, -81, -599, -514, -241, -489, 54, -12, -616, 436, 644, -510, -8, 596, -180, -473, 630, 136, -141, -467, -591, 376, -487, 522, 624, -27, -321, -499, -131, -302, -55, -244, -92, 291, -582, 252, 213, 235, -5, 318, 619, 582, 175, 347, 243}

    {358, 491, 470, -150, 353, -89, 621, -196, 242, -540, -274, 374, 381, 342, -70, 429, 259, -284, -461, -56, 170, 503, -440, 198, 73, -264, -611, -374, -573, 456, 513, 51, -491, 505, -175, -505, -275, -20, -174, -140, 422, -523, -177, -145, 470, 445, -60, -458, 178, -128}

    Returns: 2180005.3253087373

  47. 221

    27438

    {-10006, 9592, -4977, 6656, 9140, -4316, -12576, -7002, -1523, -7404, -10598, 9854, -464, 10599, 1193, -3706, 2966, -13642, -4621, 11760, 2579, 914, -8367, -1040, -12609, -9608, 4141, 468, -3462, 1989, 3726, 5614, 12098, -3072, -11356, 10352, -6987, -7739, -9446, 1720, 3497, -4063, 13623, -3107, 12050, -8014, -6117, -700, -13345, -7311}

    {6268, 6764, 7866, 796, 2783, -8711, -8996, -2544, 492, 7950, -10837, -9459, 2374, -8307, -4354, -11031, 8045, -12213, 4051, 13287, 13443, -8623, 4332, -2192, -2174, 4925, -6114, 11201, 3236, -11748, -11232, -6432, 6869, -13620, -438, -1753, 7006, -13571, -1839, 12895, 9249, -5454, -9111, 5164, -9251, 7568, -8992, -5442, 9299, 30}

    Returns: 1.1386853930208962E9

  48. 222

    86605

    {-24258, -42887, -19, -3083, -7795, -16137, -35511, -9060, -8186, 14448, 15008, 28939, -14501, 5164, -13013, 29126, -39122, -23298, 9752, 39734, 20169, -28389, 19760, -6788, -42041, 41345, 40653, 7743, -36124, -16869, 24790, -28758, -119, 40785, -22164, 22480, 13563, -5277, -16226, 14949, -33883, -22902, 29230, -32145, -25609, -39038, -19410, -20460, 22017, 3650}

    {-37473, 41642, -33689, -12484, 29838, 19971, -10415, -12842, 16234, -37032, 29383, 17583, 32443, -9185, -13316, -34480, 38639, 31947, 31896, 19472, 19562, 1240, 35393, 29799, -22613, 12909, 14228, 7183, 1173, 4617, 2673, -22306, 492, -10328, 27572, 32389, 11559, 10687, 25112, -41189, 13966, 15646, -9721, 28474, 36432, -14495, -20896, 32669, -34028, -28673}

    Returns: 9.732935597656563E9

  49. 221

    52891

    {23481, 1636, -19038, -11966, -8213, 6021, 17218, 11520, 17356, 8201, -10104, 8356, 4584, -20713, 2970, -21396, -20446, -14576, -7827, 4929, 21570, 55, 2839, 190, 14497, 20534, 4638, 353, -9192, -17308, -3782, 543, 3290, -14884, 2496, -15211, 6453, 25868, 3634, 19932, -21644, 1398, 6621, -19946, -2000, -9838, 7651, 14784, 6575, 10461}

    {3403, 9365, -19135, -2510, 7327, 17605, -10071, 20049, -2065, 132, -19533, -14226, -536, -14835, -20156, -23278, -10617, 21738, 6979, -21615, 6410, 2923, -8405, 5775, 23397, 16543, 2631, -12679, -23806, -8595, -6468, 5905, -17422, 11947, -22260, -24174, 5206, -10024, -25634, 16149, 24041, -12970, -23756, -9019, -1355, 8309, -5670, -20408, 24679, 6336}

    Returns: 3.5843699798377905E9

  50. 222

    6263

    {-2236, 1740, -1013, -54, -2618, -2468, 2069, 1487, -278, -2048, -877, -2188, 1764, 2357, 684, -931, 2812, -252, 1647, 1823, -2347, 2247, -2933, 1339, -1593, 2846, -886, 1760, -2500, -2756, 2856, -1131, -1292, -1689, 402, -645, 531, -1750, 465, -1964, -651, -2013, -523, -1130, -60, -608, 2202, -1922, -2497, 1545}

    {-2470, -114, -1298, 1221, 2665, -2653, 306, 1637, -103, 2016, 2534, -1281, -2731, 1338, -1871, -426, 1134, 794, -1345, -1198, -688, -2703, 2978, 444, -3043, 3096, 1992, 1359, -960, 349, -1209, 1711, -2359, 2424, -26, -2899, -1148, -1249, -2024, 2348, 341, -10, -2813, 1979, 1331, 1056, 420, -455, 3016, 474}

    Returns: 5.579619631904539E7

  51. 221

    6578

    {-946, 1381, 3027, -3234, -443, -3256, 491, -1959, 620, 954, 2471, -2663, 1266, 2264, -3203, 218, 1302, 389, 2885, 1886, 1595, -1219, 928, 3238, 377, -1792, 3013, -767, 3199, 1459, -1501, -514, 0, 1109, 888, -2003, 2535, 2913, -2424, 1266, 249, 875, 115, 2097, -3091, -701, -322, -1519, 2532, 1149}

    {-454, -3116, 23, 1361, 3032, -276, 2312, -1550, -575, 467, -2021, -462, 1919, -2414, 3076, -1058, 942, 1058, 1822, 2213, -2284, 2578, 2583, -2265, 2627, 582, -58, 1083, -1875, 2923, -2049, 443, -957, -2516, 1402, 1350, 2896, 992, 1945, 2343, -788, 2032, 701, -2148, -1831, -2672, -1131, 1046, 971, -251}

    Returns: 6.183720513956072E7

  52. 222

    85176

    {15978, 27062, 6036, -41542, 3301, 32686, -39898, -28500, 27129, -19826, 30732, 8461, -2981, -32965, 26512, -2787, -31774, -32600, 9816, 13846, 21037, 42296, 15017, -29619, -12721, -21018, -12657, 12632, 10519, -31340, -39967, -31003, -33382, 35164, -2339, -40107, -33831, 36906, -34159, 40159, 8086, 41435, -24572, 4621, 26363, 41548, -14329, -2666, -25010, -37825}

    {9883, 19454, 27806, -25443, -22782, -21727, -16805, 27818, 34557, 9924, -3002, -2315, -20327, -11363, 18464, 18183, -12081, 24414, 39421, 42582, -36871, -10985, 10551, -8482, -34210, 37112, 17290, -14498, 24624, -13067, 11665, 27300, -41223, -39755, 35991, -31025, 29394, 18244, 21798, 23447, 24061, -41842, -27838, -27661, 20396, 30840, -5921, 12960, -36212, 39062}

    Returns: 1.1495015125478014E10

  53. 221

    12509

    {1403, -1347, -2149, 624, 2565, 461, 86, -1593, 1581, 2056, -5743, 1031, 5577, -3501, 3344, 4752, -2663, 2427, 749, -3088, 1872, 1233, -440, -6072, -4531, 562, -540, -5548, 4191, 5896, -4002, 9, 3923, -2222, -2691, -4120, 192, 2874, -3437, 713, 6173, -22, 1624, -3638, 3175, 5534, 1375, 2762, -3969, -1488}

    {4549, -6163, -1227, 1425, 5351, 1062, 2144, 1736, 5820, -2540, 1682, 3402, -182, 1182, -1663, -4462, -5313, -111, -2263, 4790, -5324, 2748, 5178, -4499, -2226, -4206, 920, 4801, -48, -1360, -2342, 5512, 3916, -1550, -2510, 6030, -4904, 2966, -5967, -1098, 820, -5277, 5848, -1669, 1515, -3006, 5405, -2769, 3749, 2325}

    Returns: 2.0141239123287007E8

  54. 222

    61710

    {-6509, 13540, 918, 27014, 3831, -1875, -24947, -10210, -30561, -29074, 3798, -15057, -29993, -29548, 25550, -11891, -25743, -18366, 28779, 9772, -21500, -29194, 29542, -22216, 811, 29692, 7398, 26444, 1417, -22202, -29358, 24775, 503, 9565, 28627, 30584, 1237, -23010, -5836, -21598, 20046, -26038, 29038, 10232, -13765, 29004, -26486, -26844, 28966, -898}

    {14969, 18543, -10219, 13244, 11837, 20316, -16685, -7676, -25353, 19234, -20885, -20319, 12053, -14107, 758, 28359, 23160, 9313, -1311, -3201, 22517, -29788, 19111, -16876, 22569, -14052, -12165, 9217, -21930, 22007, 22385, -20189, 3874, -19405, -20343, -30169, -17840, -12061, -14507, -16909, -26185, 216, 5509, 6941, 25533, 23283, -12407, 30489, 15976, -26453}

    Returns: 6.110121181640289E9

  55. 221

    73487

    {28362, 21354, 17469, 14709, -5999, 34702, -27889, -23681, 32774, 19318, 20732, 32862, 27430, 15142, -32, -11127, -11023, 33562, 19185, 8315, 35329, 30293, -35751, 16314, -7073, 3370, 1683, -28108, 2929, -32630, -16554, 446, 4619, 14265, 6545, -19092, 28740, 28342, -9049, -35409, 18527, -36315, -21109, 28642, -27897, -5548, 11061, 22512, -30924, 13484}

    {20555, 22498, -35123, -7409, -18010, 28682, 8126, -23491, -15026, 27438, 15604, -7385, 17700, 11730, 7590, -8962, 21895, -28632, -14545, 20133, 8513, 10476, -18466, 35190, 31821, 26913, -22691, -11426, 27917, 11419, 35786, -17702, -17016, -14929, -16451, -11582, 33140, 8194, -19569, -16222, -30862, -22582, 26300, -32239, -10902, -25281, 85, 11474, 4678, -33435}

    Returns: 7.060023113613262E9

  56. 222

    45679

    {4635, -5775, -19571, 13161, 14637, -2356, 21617, 15986, -20754, 5010, -18014, 21590, 21199, 7086, -14426, -15921, -15363, -9079, 7679, 10908, 21463, 14973, -14482, 14705, -1152, -9735, 3765, -10598, -1598, -9340, 22025, -19111, -13411, 8303, -7005, 21447, -9529, 167, -1749, -11144, -22506, -13229, -5714, 2051, 19710, 21268, 6176, 12406, 9653, -4467}

    {-13555, 18618, 19137, 8615, -6709, -2607, 17931, 13305, -990, 901, -11662, -16389, 16479, 1654, 15207, 9626, -2864, -2355, -10549, 12782, 5438, 11119, -22025, 16932, -8076, -14065, 7807, -7702, -2063, -3099, -10990, -11706, -7856, 8340, 9933, 3726, 12040, -16454, 16520, 13489, 16109, 16284, -96, -11514, 5632, -15786, 922, -14661, -18296, 16935}

    Returns: 2.8430744932770286E9

  57. 221

    1314

    {539, 277, 854, 327, 95, 686, 694, 453, 170, 317, 2, 141, 21, -74, -73, -307, -350, -428, -172, -406, -182, -4, -571, -890, -262, -452, -270, -184, -627, -517, -428, -657, -315, -32, -4, -159, -82, -40, 10, 111, 290, 6, 60, 74, 56, 629, 1, 519, 752, 462}

    {13, 22, 144, 115, 233, 49, 373, 109, 564, 701, 468, 570, 738, 237, 727, 682, 433, 473, 498, 441, 293, 45, 151, 134, 1, -2, -131, -95, -321, -437, -168, -424, -288, -763, -601, -275, -419, -13, -218, -458, -313, -745, -574, -706, -559, -107, -449, -167, -85, -91}

    Returns: 2613474.3026818475

  58. 221

    651

    {402, 95, 19, 344, 171, 34, 323, 76, 176, 171, 118, 29, 13, -18, -59, -93, -195, -53, -115, -243, -40, -275, -247, -38, -278, -125, -464, -20, -291, -258, -321, -215, -62, -39, -162, -117, -5, -1, 25, 13, 156, 13, 20, 250, 285, 9, 219, 273, 431, 152}

    {3, 53, 79, 38, 203, 256, 44, 224, 17, 229, 264, 413, 15, 96, 366, 27, 209, 68, 39, 289, 112, 116, 112, 60, 44, -2, -47, -97, -2, -29, -277, -179, -82, -342, -328, -79, -387, -6, -15, -455, -161, -377, -69, -150, -27, -89, -123, -151, -75, -28}

    Returns: 716223.0090275386

  59. 222

    1080

    {512, 97, 153, 629, 168, 594, 41, 44, 278, 330, 214, 5, 7, -47, -104, -40, -151, -301, -460, -6, -502, -165, -438, -97, -455, -591, -771, -742, -571, -419, -168, -185, -261, -325, -167, -145, -93, -12, 38, 60, 240, 210, 188, 124, 528, 84, 325, 254, 455, 501}

    {4, 43, 185, 237, 6, 124, 141, 127, 57, 463, 505, 762, 75, 30, 209, 343, 14, 577, 358, 288, 441, 302, 154, 41, 39, -10, -66, -210, -122, -121, -13, -395, -211, -74, -235, -598, -283, -532, -78, -31, -224, -169, -76, -270, -423, -130, -158, -161, -33, -12}

    Returns: 1898458.624672409

  60. 221

    950

    {279, 392, 484, 192, 328, 20, 71, 183, 14, 272, 189, 98, 21, -24, -72, -229, -71, -212, -257, -305, -71, -460, -609, -363, -148, -589, -399, -426, -118, -120, -220, -384, -243, -236, -267, -24, -37, -24, 35, 95, 73, 164, 238, 140, 448, 422, 168, 474, 535, 585}

    {5, 94, 81, 72, 30, 204, 111, 62, 591, 5, 102, 600, 270, 226, 259, 413, 257, 39, 500, 231, 89, 46, 48, 135, 58, -6, -55, -166, -248, -166, -373, -31, -541, -465, -5, -516, -294, -390, -300, -571, -330, -257, -345, -62, -176, -26, -266, -114, -75, -12}

    Returns: 1436225.654689734

  61. 222

    1523

    {696, 143, 411, 1040, 898, 640, 528, 337, 217, 397, 21, 180, 52, -27, -71, -17, -254, -235, -250, -419, -622, -357, -510, -876, -777, -1107, -442, -428, -926, -715, -250, -369, -525, -316, -445, -90, -190, -15, 64, 141, 366, 34, 151, 301, 565, 223, 559, 500, 255, 642}

    {12, 62, 272, 126, 407, 646, 732, 130, 380, 214, 812, 522, 1021, 812, 395, 1016, 281, 535, 729, 749, 337, 452, 67, 265, 100, -2, -137, -283, -323, -263, -26, -146, -572, -95, -506, -299, -109, -579, -760, -426, -508, -654, -834, -282, -54, -395, -499, -185, -14, -107}

    Returns: 3704203.007455117

  62. 221

    522

    {53, 353, 138, 338, 112, 284, 79, 26, 71, 24, 36, 38, 3, -16, -45, -125, -99, -135, -228, -199, -20, -252, -71, -196, -160, -157, -374, -138, -44, -278, -287, -275, -132, -67, -6, -22, -34, 0, 19, 7, 103, 41, 65, 121, 207, 133, 149, 285, 144, 174}

    {1, 41, 13, 67, 172, 160, 207, 206, 231, 25, 19, 129, 127, 283, 148, 26, 39, 132, 144, 37, 215, 112, 41, 78, 12, -4, -21, -53, -104, -173, -12, -125, -60, -208, -313, -39, -179, -342, -161, -86, -116, -41, -56, -212, -70, -168, -46, -80, -8, -30}

    Returns: 432282.7993462297

  63. 222

    488

    {41, 20, 206, 273, 133, 269, 245, 161, 183, 68, 59, 17, 0, -20, -12, -112, -124, -200, -105, -76, -169, -149, -225, -249, -21, -267, -351, -129, -235, -203, -126, -113, -3, -61, -125, -22, -39, -12, 23, 3, 116, 111, 30, 213, 54, 8, 239, 301, 215, 64}

    {1, 3, 61, 36, 32, 56, 12, 105, 6, 35, 165, 150, 139, 6, 221, 231, 314, 36, 43, 156, 71, 157, 87, 12, 6, -2, -37, -61, -70, -19, -118, -5, -137, -161, -324, -217, -247, -108, -348, -25, -288, -136, -116, -28, -143, -103, -19, -81, -54, -14}

    Returns: 393161.3858758691

  64. 221

    243

    {146, 118, 93, 40, 73, 104, 74, 88, 9, 6, 53, 27, 7, -11, -11, 0, -30, -42, -23, -39, -79, -125, -126, -146, -73, -74, -99, -133, -81, -69, -28, -28, -47, -74, -12, -11, -16, -2, 13, 30, 13, 79, 22, 73, 117, 118, 157, 136, 135, 158}

    {0, 19, 43, 26, 8, 9, 81, 72, 29, 76, 72, 18, 170, 39, 17, 80, 28, 88, 46, 100, 40, 41, 19, 3, 12, 0, -3, -17, -42, -85, -93, -34, -63, -85, -132, -89, -146, -37, -49, -93, -94, -102, -111, -3, -118, -11, -48, -53, -18, -11}

    Returns: 88461.98906193778

  65. 221

    1138

    {739, 732, 713, 683, 642, 591, 531, 462, 386, 304, 218, 127, 35, -57, -149, -239, -324, -405, -479, -546, -604, -653, -691, -719, -735, -739, -732, -713, -683, -642, -591, -531, -462, -386, -304, -218, -127, -35, 57, 149, 239, 324, 405, 479, 546, 604, 653, 691, 719, 735}

    {11, 103, 194, 282, 366, 443, 514, 576, 630, 673, 706, 728, 738, 737, 724, 699, 664, 618, 562, 498, 425, 346, 261, 173, 81, -11, -103, -194, -282, -366, -443, -514, -576, -630, -673, -706, -728, -738, -737, -724, -699, -664, -618, -562, -498, -425, -346, -261, -173, -81}

    Returns: 2519983.180952061

  66. 222

    970

    {630, 624, 608, 582, 547, 504, 453, 394, 329, 259, 185, 108, 30, -49, -127, -203, -276, -345, -409, -466, -515, -557, -589, -612, -626, -630, -624, -608, -582, -547, -504, -453, -394, -329, -259, -185, -108, -30, 49, 127, 203, 276, 345, 409, 466, 515, 557, 589, 612, 626}

    {9, 88, 165, 240, 311, 378, 438, 491, 537, 574, 602, 621, 629, 628, 617, 596, 566, 527, 479, 424, 362, 295, 223, 147, 69, -9, -88, -165, -240, -311, -378, -438, -491, -537, -574, -602, -621, -629, -628, -617, -596, -566, -527, -479, -424, -362, -295, -223, -147, -69}

    Returns: 1814361.9517334844

  67. 221

    343

    {222, 220, 215, 206, 193, 178, 160, 139, 116, 91, 65, 38, 10, -17, -45, -72, -97, -122, -144, -164, -182, -196, -208, -216, -221, -222, -220, -215, -206, -193, -178, -160, -139, -116, -91, -65, -38, -10, 17, 45, 72, 97, 122, 144, 164, 182, 196, 208, 216, 221}

    {3, 31, 58, 85, 110, 133, 155, 173, 190, 203, 213, 219, 222, 222, 218, 210, 200, 186, 169, 150, 128, 104, 78, 52, 24, -3, -31, -58, -85, -110, -133, -155, -173, -190, -203, -213, -219, -222, -222, -218, -210, -200, -186, -169, -150, -128, -104, -78, -52, -24}

    Returns: 226011.54751626795

  68. 222

    1530

    {994, 984, 959, 919, 864, 795, 714, 622, 520, 409, 293, 171, 47, -77, -200, -321, -436, -545, -645, -735, -813, -878, -930, -966, -988, -994, -984, -959, -919, -864, -795, -714, -622, -520, -409, -293, -171, -47, 77, 200, 321, 436, 545, 645, 735, 813, 878, 930, 966, 988}

    {14, 139, 261, 379, 492, 596, 691, 775, 847, 906, 950, 979, 993, 991, 973, 941, 893, 831, 756, 669, 572, 465, 352, 232, 109, -14, -139, -261, -379, -492, -596, -691, -775, -847, -906, -950, -979, -993, -991, -973, -941, -893, -831, -756, -669, -572, -465, -352, -232, -109}

    Returns: 4514018.379012555

  69. 221

    1258

    {817, 809, 788, 755, 710, 654, 587, 511, 427, 337, 240, 141, 39, -63, -165, -264, -359, -448, -530, -604, -668, -722, -764, -794, -812, -817, -809, -788, -755, -710, -654, -587, -511, -427, -337, -240, -141, -39, 63, 165, 264, 359, 448, 530, 604, 668, 722, 764, 794, 812}

    {12, 114, 215, 312, 404, 490, 568, 637, 696, 745, 781, 805, 816, 815, 800, 773, 734, 683, 622, 550, 470, 383, 289, 191, 90, -12, -114, -215, -312, -404, -490, -568, -637, -696, -745, -781, -805, -816, -815, -800, -773, -734, -683, -622, -550, -470, -383, -289, -191, -90}

    Returns: 3079458.8159014033

  70. 221

    548

    {356, 352, 343, 329, 309, 284, 255, 222, 186, 146, 104, 61, 17, -27, -71, -115, -156, -195, -231, -263, -291, -314, -333, -346, -354, -356, -352, -343, -329, -309, -284, -255, -222, -186, -146, -104, -61, -17, 27, 71, 115, 156, 195, 231, 263, 291, 314, 333, 346, 354}

    {5, 49, 93, 136, 176, 213, 247, 277, 303, 324, 340, 350, 355, 355, 348, 337, 319, 297, 271, 239, 205, 166, 126, 83, 39, -5, -49, -93, -136, -176, -213, -247, -277, -303, -324, -340, -350, -355, -355, -348, -337, -319, -297, -271, -239, -205, -166, -126, -83, -39}

    Returns: 581978.678106108

  71. 222

    1330

    {864, 855, 834, 798, 751, 691, 621, 540, 452, 356, 254, 149, 41, -67, -174, -279, -379, -474, -560, -638, -706, -763, -808, -840, -859, -864, -855, -834, -798, -751, -691, -621, -540, -452, -356, -254, -149, -41, 67, 174, 279, 379, 474, 560, 638, 706, 763, 808, 840, 859}

    {12, 121, 227, 330, 427, 518, 601, 674, 736, 787, 826, 851, 863, 861, 846, 818, 776, 722, 657, 582, 497, 405, 306, 202, 95, -12, -121, -227, -330, -427, -518, -601, -674, -736, -787, -826, -851, -863, -861, -846, -818, -776, -722, -657, -582, -497, -405, -306, -202, -95}

    Returns: 3411015.8958671065

  72. 221

    1076

    {699, 692, 674, 646, 607, 559, 502, 437, 365, 288, 206, 120, 33, -54, -141, -226, -307, -383, -453, -516, -571, -617, -654, -679, -695, -699, -692, -674, -646, -607, -559, -502, -437, -365, -288, -206, -120, -33, 54, 141, 226, 307, 383, 453, 516, 571, 617, 654, 679, 695}

    {10, 98, 184, 267, 346, 419, 486, 545, 596, 637, 668, 688, 698, 697, 684, 661, 628, 584, 532, 471, 402, 327, 247, 163, 77, -10, -98, -184, -267, -346, -419, -486, -545, -596, -637, -668, -688, -698, -697, -684, -661, -628, -584, -532, -471, -402, -327, -247, -163, -77}

    Returns: 2252877.93102779

  73. 222

    1848

    {1201, 1189, 1158, 1110, 1043, 961, 863, 751, 628, 495, 354, 207, 57, -93, -242, -388, -527, -658, -779, -887, -982, -1061, -1123, -1167, -1193, -1201, -1189, -1158, -1110, -1043, -961, -863, -751, -628, -495, -354, -207, -57, 93, 242, 388, 527, 658, 779, 887, 982, 1061, 1123, 1167, 1193}

    {18, 168, 316, 458, 594, 720, 835, 936, 1023, 1094, 1147, 1183, 1199, 1197, 1176, 1136, 1079, 1004, 913, 809, 691, 562, 425, 281, 132, -18, -168, -316, -458, -594, -720, -835, -936, -1023, -1094, -1147, -1183, -1199, -1197, -1176, -1136, -1079, -1004, -913, -809, -691, -562, -425, -281, -132}

    Returns: 6585433.902447475

  74. 8

    5

    {8}

    {8}

    Returns: -1.0

    It is not possible to enclose this penguin. Please note that while a penguin can't be located close to a potential fencing (see constraints), it can be located close to or exactly on a straight line passing through any pair of fence posts.

  75. 7

    10

    {9}

    {1}

    Returns: 29.436752637711805

  76. 30

    800

    {8,2,100,120,52,67,19,-36}

    {-19,12,88,-22,53,66,-140,99}

    Returns: 384778.74757953023

  77. 5

    5

    {1,-100}

    {0,-100}

    Returns: -1.0

  78. 12

    17

    {20}

    {3}

    Returns: -1.0

  79. 3

    10

    {-11}

    {0}

    Returns: -1.0

  80. 3

    10

    {5}

    {5}

    Returns: -1.0

  81. 3

    10

    {5}

    {-5}

    Returns: -1.0

  82. 3

    10

    {-6}

    {-5}

    Returns: -1.0

  83. 3

    10

    {4}

    {4}

    Returns: -1.0

  84. 3

    10

    {4}

    {-4}

    Returns: -1.0

  85. 30

    800

    {8, 2, 100, 120, 52, 67, 19, -36 }

    {-19, 12, 88, -22, 53, 66, -140, 99 }

    Returns: 384778.74757953023

  86. 3

    5

    {-1 }

    {0 }

    Returns: 32.47595264191645

  87. 4

    5

    {2 }

    {1 }

    Returns: 25.0

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