TopCoder Statistics - Problem Statement

Problem Statement

There is an amazing series of stories called "The Chronicles of Amber" written by Roger Zalazny. The stories tell us about the princes and princesses of the kingdom of Amber. The princes possess superhuman abilities and magical artifacts. For example, each prince carries a deck of Tarot cards, where each trump card has the image of a prince. A prince can contact another prince using a trump card, and if the second prince agrees, the first prince will teleport instantaneously to the exact location of the second prince. This teleportation is called a connection, and at any given time T, only a single connection can happen in the entire kingdom. Note that T is not necessarily an integer, so if two times, t₁ and t₂, are different but very close to each other, a connection can happen at t₁ and another connection can happen at t₂.

A battle between the forces of Amber and Chaos is about to begin, and each prince of Amber has been assigned a location where he must be during the battle. The territory where the battle will occur can be represented as an infinite plane, where locations are points on the plane. The i-th prince is currently located at point (princeX[i], princeY[i]), but he must be at point (destinationX[i], destinationY[i]). Princes can travel using two methods: riding, and teleporting as described above. Princes ride at a speed of 1 distance unit per second. The riding distance between any two locations is the Euclidean distance between their points. Princes can all ride simultaneously.

Assume that each prince has a complete deck of Tarot cards and can therefore make a connection with any other prince. All the princes have united for the sake of the great battle, and will agree to all connection requests. The princes want to move in such a way that they all reach their destination points as soon as possible. More precisely, they consider a moment in time, T (measured in seconds, where the initial time is 0), to be enough for them to reach their destination points if they can collaborate and organize their riding and/or teleports so that each of them will be at his respective destination point at exactly moment T. Return the smallest moment in time, T₀, such that all moments T > T₀ are enough for them to reach their destination points.

Definition

Class:: TheChroniclesOfAmber
Method:: minimumTime
Parameters:: int[], int[], int[], int[]
Returns:: double
Method signature:: double minimumTime(int[] princeX, int[] princeY, int[] destinationX, int[] destinationY)
(be sure your method is public)

Notes

The returned value must have an absolute or relative error less than 1e-9.

Constraints

princeX will contain between 1 and 50 elements, inclusive.
Each element of princeX will be between 0 and 10000, inclusive.
princeY will contain the same number of elements as princeX.
Each element of princeY will be between 0 and 10000, inclusive.
destinationX will contain the same number of elements as princeX.
Each element of destinationX will be between 0 and 10000, inclusive.
destinationY will contain the same number of elements as princeX.
Each element of destinationY will be between 0 and 10000, inclusive.

Examples

{1,5,5}

{0,0,0}

{1,1,0}

{4,2,3}

Returns: 4.0

One of the possible scenarios for this testcase is the following. Prince 0 starts riding directly north toward his destination point while the other two princes remain stationary. When he gets to point (1,2), prince 1 makes a connection with him and teleports to (1,2), which is prince 1's destination. When he gets to point (1,3), prince 2 makes a connection with him and teleports to (1,3). Prince 2 then starts riding west. Prince 0 reaches his destination of (1,4) at the same time that prince 2 reaches his destination of (0,3). Note that even though time moment 4 is itself enough for the princes to reach their destination points, the least T0 satisfying the problem's conditions is still 4.
{0,0,0}

{1,2,3}

{0,0,0}

{0,2,4}

Returns: 1.0

Tarot cards will not help here. Princes 0 and 2 just have to ride to their destination points.
{0,0,0}

{1,2,3}

{0,0,0}

{4,2,0}

Returns: 1.0

The solution is as follows. First prince 1 teleports to prince 2's location, then prince 2 teleports to prince 0's location and finally prince 0 teleports to prince 1's location. After this, they move directly to their destination points. In this case, each moment T > 1 is enough for them to reach their destination points, so the correct return value is T0 = 1.
{0,3,5}

{0,4,0}

{3,5,0}

{4,0,0}

Returns: 4.47213595499958

Each prince is located in the other's destination point. The optimal strategy is: prince 2 teleports to prince 0's location, then prince 0 teleports to prince 1's location, and then prince 1 rides to his destination point.
{9111,1906,5286,1832,7221,5984,1975,7007,1329,5219,1779,7262,6696,9427,1289,7558,3568,7972,6935,6283,2598,3560,2456,1726,5618,2624,4227,7640,6758,7323,9429,2906,8925,4130,2071,310,628,4032,1879,9412,8161,9325}

{1615,5883,8995,6724,999,8003,6187,1996,1688,6119,1614,4117,5676,2056,7761,44,6689,3194,3867,7788,5088,1124,6168,6028,4691,3485,2543,9404,6502,3952,6581,4465,4363,5395,6061,1279,7510,1200,843,5719,5053,9757}

{9851,8161,9266,1451,1193,8260,6551,4175,7973,9613,2684,2798,5593,783,3876,1053,6856,8747,7456,7038,4023,723,3803,5538,1864,8254,1752,5089,6671,8485,2473,4757,6255,7700,6834,5647,5918,2056,1231,2137,5403,569}

{9455,2060,6229,4372,4936,9420,91,7408,4395,6401,8517,9683,2068,6652,1077,3867,9859,5314,7597,3521,2516,5623,8979,953,5361,9299,3070,1384,9543,5721,573,8393,9846,4899,5985,5651,22,9223,8584,9952,680,9010}

Returns: 2443.5967343242214
{5182,7398,7364,7100,9439,8277,9378,2732,6225,6937,813,3596,5948,3515,8306,1215,6775,297,4449,7003,4014,2985,8755,729,3900,7624,5533,7154,6806,8186,3671,5827,4860,9834,3342,9048,8981,2834,4619,2993,323}

{6905,7848,1816,5304,7726,1320,3533,3806,1462,6441,69,8758,9520,2577,2944,9853,156,9450,2506,2907,184,1723,5743,1191,136,8337,65,3990,7914,1539,8069,7389,5911,675,8269,2284,6618,5682,6820,4630,1695}

{8452,519,4692,6841,2539,9617,5155,5681,5764,9435,889,5790,2152,276,4470,5426,1018,5023,7802,334,3183,4901,232,7027,2232,1523,4206,4851,5811,230,3452,1844,1963,9717,8718,9384,5503,2947,6034,619,9430}

{8515,8121,2011,3659,745,5299,8807,3443,9227,912,7733,3734,6356,6184,1328,5768,2182,6281,1448,9638,6892,9604,675,3130,2386,7421,5324,3417,7970,8863,5054,6597,5130,6264,4077,83,6430,5854,8974,2856,3493}

Returns: 2606.7926653264926
{5313,5203,2897,9532,5100,8891,7769,6271,31,1996,9059,5320,6958,2889,4859,334,1725,5798,7911,6677,6040,3376,4204,6354,9054,5258,8801,1431,8677,7585,3891,920,7619,8504,4068,6150,9156,4653,3836,9604,7623,3616}

{4360,2529,7701,6382,8365,4772,2785,5127,4118,4660,7849,7096,1605,7844,8270,7950,3993,9696,5214,9191,1284,3806,1803,4809,256,8036,8074,7973,5690,3087,9727,2752,7885,8635,5659,5884,1466,1979,9297,3581,484,4249}

{8807,8107,8552,9096,7633,7636,6416,8357,2931,9135,5097,4034,5486,3813,4301,914,8723,8335,9294,4315,6506,7240,3251,7679,1298,6970,2468,4273,7663,6492,9416,7994,6125,9527,8645,8265,2377,3376,553,4044,6845,9352}

{3004,7006,1146,7646,6874,6047,79,82,1836,1315,6824,7609,7003,4034,1248,8042,8179,7387,1912,1761,2958,1636,8997,276,2742,7397,6649,5460,6663,2069,9749,4441,2433,4446,75,5165,9098,2477,6903,7617,6705,9203}

Returns: 1439.7013579211489
{8705,8369,4794,9138,493,972,2729,9180,2511,2240,5070,4570,325,98,5289,9517,2497,6556,1094,1135,9639,9741,2261,5883,2261,5980,9748,8532,2420,6916,1104,8679,4134,6659,7173,9797,7607,3988,5069,5825,2234,4583}

{7992,1929,9593,9809,729,3364,5594,6781,2769,5949,5344,7209,7512,3848,5827,9782,5777,2307,6836,8374,1668,1260,7641,7083,1301,3050,9011,1871,9367,9243,5592,3810,8563,1545,3623,8922,6866,1828,9024,9624,7662,6243}

{6998,5708,7892,1842,9039,4831,6383,9060,7449,70,7406,1378,635,86,5014,9778,8655,1658,1328,7435,5282,9889,2695,9644,9497,9080,7754,6893,1387,9265,2417,6113,7469,3415,6776,5074,402,295,8901,4966,8149,7999}

{2242,8637,7354,323,4301,4040,1615,4319,4562,6574,6322,3050,3099,9279,1932,1077,2511,4623,6780,4659,2619,8351,390,4844,3646,3064,7772,2788,2874,6532,9685,2299,9776,9717,3886,4608,4623,9537,2355,363,5571,1351}

Returns: 1761.4508224756091
{810,2779,7720,8449,4886,9347,8028,6933,3165,624,2471,1442,3059,6108,9368,3507,2309,7941,850,6070,4174,6970,5107,7218,7964,5404,6469,3015,9935,1069,8346,4438,9524,8269,4023,3405,5943,245,299,2921,126,8246}

{575,6130,7521,3135,9933,1956,7156,690,6008,5951,4901,9544,207,6960,4614,8652,9689,7563,7376,8903,7660,628,2118,5621,5585,9030,665,6751,2310,3535,2192,1690,5101,3851,2090,5802,7595,7832,255,5578,9667,3863}

{9490,3861,9223,6175,6276,4489,9665,7612,5451,407,982,3525,2621,9452,8255,7426,8374,2260,2016,4595,6353,2638,1209,7926,2322,132,9599,8494,9195,9846,672,5859,3049,4473,6015,3089,5112,3562,2160,1510,4727,5009}

{297,3393,8295,8128,3010,8031,6463,3824,9228,4034,4261,2409,6430,8395,3094,7288,3598,9156,8022,8127,8036,6157,5229,7866,4735,5559,4536,6015,3276,3165,1943,3243,7272,1527,7215,2256,1342,5841,1507,9959,641,3633}

Returns: 1724.918838670388
{3783,9475,4208,1392,9084,9408,5825,4641,8406,7915,6440,4467,5775,5980,2821,3399,7355,6523,1012,8833,1207,8551,2689,9389,1481,6978,8419,9441,2006,3104,2841,6801,4303,764,6761,8573,5007,3131,1153,165,7711,5197,8087,2482,4214,6902,3555,2254}

{917,184,8291,3765,8174,5114,9175,2789,6178,3174,3615,1209,4295,5769,7587,4722,3241,7216,9647,3217,7794,2858,4760,620,2978,1897,4101,1973,8732,9963,5827,2736,8042,6397,1831,5313,3565,1276,5477,7809,7717,7154,5300,11,1245,526,9692,1599}

{30,5914,7911,3235,4753,2084,3076,6047,2142,8866,388,7587,945,2410,8096,2339,5013,8235,5658,7377,6152,6125,3503,9790,2029,1319,319,2886,4107,6995,2884,6196,619,3026,3437,4253,9588,6049,9592,9176,6875,5801,1780,2028,4278,2760,3247,7978}

{6311,7020,2180,1246,561,3229,7895,9805,8763,5024,6032,3981,6651,1678,7506,2603,8256,9180,567,9754,5644,9280,4482,8374,7767,8897,4800,6722,3412,4875,5230,2677,3254,9090,1122,898,6007,8911,9539,7837,3676,8007,940,9595,919,2513,7466,7641}

Returns: 1656.4857379404145
{5275,8035,7562,7579,1828,2384,9971,5939,7830,2996,7742,2548,7575,6384,56,8263,8688,1254,9013,3270,6551,3338,5172,3655,2205,4948,9075,5197,8738,4255,3739,9389,1137,9306,3131,6682,4632,1750,1613,1966}

{2665,2063,7571,234,5141,8724,8734,7785,5262,9132,8726,1916,5284,3844,7689,6523,9455,6664,1601,7207,7334,5011,2498,4167,2170,6580,6236,3876,9300,7285,2790,4548,9595,5499,4097,391,2947,7578,4431,9658}

{3497,7545,2812,7372,838,9060,8726,4535,7697,6077,3079,4487,9913,8248,4569,9323,9280,3772,8999,7839,2507,2673,2173,3361,9288,418,4386,4416,4466,6898,1521,3258,9308,5746,7743,7246,6871,9024,4793,8072}

{1945,7230,555,269,7243,4118,4475,7529,8061,3145,6953,2408,3809,7641,9781,6030,9501,2748,4765,2932,7867,4740,8062,8227,7153,7253,2661,4159,9560,9435,4051,1093,5363,1007,4037,7900,7691,9240,7726,6763}

Returns: 1701.6256932709966
{6790,9673,8325,1472,4663,834,1020,6458,9812,2409,6472,6148,8829,8715,7879,6186,332,4013,5756,8317,3686,771,8551,6162,2757,4211,794,9796,9710,8140,3793,4093,3844,7087,3856,5884,471,9712,3069,4883,4824,8513,7600,3418,6014,820}

{6481,2246,2893,3840,2302,4764,8244,9003,1015,497,2121,7140,3595,4018,6591,1597,6190,6987,1803,8970,5104,9941,9903,441,873,4431,540,5976,6459,514,2977,6358,4524,4598,9801,8083,8827,2625,7231,6105,4706,3631,7045,9433,3672,8631}

{2961,2837,8673,7409,1995,7748,7200,5732,6783,9877,6873,1854,7918,9721,4135,2580,7697,3911,6125,3280,3883,8677,1633,4181,9132,213,247,6069,1078,6977,4640,412,8100,8881,1038,8899,5724,8416,2845,7376,8722,8676,2429,9218,3847,3306}

{5312,9371,7265,6346,3970,8812,6664,9900,4876,6945,8465,1219,999,8738,9566,8430,8492,6445,7069,7913,3784,9916,2112,1981,5408,2881,930,5021,5544,213,8139,3120,6295,1162,7250,2168,5689,3573,3411,9435,8406,4073,3373,3618,6235,9243}

Returns: 1672.870885633437
{5082,4573,7098,9873,1368,1836,4013,5435,6834,9482,8000,4181,1632,720,8187,6059,63,8576,9348,2758,7099,3576,6103,3714,1503,9326,6218,2469,566,901,8009,8376,1426,1122,6842,8666,4004,9654,5746,5853,532,9976,5113,5507,6688,9194,6511,9361}

{6082,3101,8254,3360,7131,195,8565,6070,2227,5765,5614,536,5788,192,9851,5325,7606,4404,2403,2983,8627,4722,6815,6470,9885,2123,6435,2494,9607,912,2480,6778,3477,1812,7758,6217,3071,4468,1054,2978,7445,4359,7184,5489,2897,9136,7708,1351}

{7677,8386,3250,2754,79,4373,721,3498,9197,4668,6751,9678,7375,8778,5627,3879,1792,56,1919,4129,2780,1626,4284,5912,4382,5762,4013,182,2123,1762,3294,2339,3026,7287,8209,7184,2831,8183,1448,4852,5466,1776,9765,2724,9720,8646,1138,8312}

{9939,6019,6080,322,1325,8719,4422,1586,8974,3960,1529,3702,3683,1672,4778,1743,4318,1009,5686,3040,5275,9541,3634,8256,7725,7477,5889,9,9650,1934,8906,4038,9673,6241,5924,7894,9671,9279,5855,2180,1178,9867,8453,9335,582,1182,777,4939}

Returns: 1483.8574729400395
{5892,9360,7312,7175,4144,8666,849,309,872,8334,6052,7508,7209,1275,6898,5489,7786,436,2652,8425,4471,6611,7563,7336,3281,670,6226,6405,9447,5210,9616,1197,5653,600,6774,3807,8436,466,7168,9905,7747,1565,8711,2709,4677,3093,6444,8866,2354}

{8165,7872,6686,8120,3285,765,2275,7486,5849,8066,4892,6395,494,5624,8705,6272,3550,3555,5883,2752,8078,3872,7123,9427,1144,1594,6907,7561,8319,4331,8492,6796,394,5346,3621,1824,7343,5096,1958,40,4489,6242,5262,5170,5915,7144,1267,1870,88}

{8101,223,9948,6577,5559,7308,7180,5229,7946,609,8121,4208,3765,739,4463,624,9176,363,1856,4407,912,3855,9105,9847,3012,1991,3646,4688,2313,6690,8339,1759,7750,778,4514,8141,8440,7810,6339,6867,5555,6913,1452,6178,2982,7682,2900,1302,1776}

{5710,5595,8784,5833,9736,9116,3594,24,1663,1036,1237,9730,3290,2745,1300,902,6885,2376,388,3377,7117,8221,2350,3211,829,1255,8852,6624,9667,1756,5309,550,556,5027,7163,4791,9034,1219,1511,755,428,4263,9098,1820,3898,4891,1633,278,4308}

Returns: 2640.8197590899686
{8829,2311,6318,2723,432,3676,7764,1858,8125,6660,6067,173,2503,1376,205,9519,9474,4276,2768,2682,9592,5403,5411,7378,899,369,305,7463,222,2057,2552,6378,7955,7057,8575,7820,1316,1817,5491,8635}

{105,7354,3779,3400,4537,4620,3326,6752,6704,3440,7235,3985,2748,8578,2318,114,9318,4196,4388,1413,3690,8521,274,7598,8934,4800,7383,2804,9116,3543,5796,345,9537,1057,7905,6275,7020,9269,588,6715}

{2769,9498,5898,6976,2727,4763,1076,252,91,4592,7597,967,116,9973,9994,7714,6524,4816,506,7000,4137,393,649,7235,622,137,4371,5581,2324,9786,7821,2646,9214,7878,720,39,3924,1609,4328,5765}

{6891,1244,4993,8083,3060,3649,117,7605,5133,2440,8945,4172,1795,74,9930,8144,7248,5555,480,5806,8871,6799,1831,4573,559,9918,2085,7597,6722,407,2414,2795,1935,1263,1432,1291,1277,2997,2721,266}

Returns: 2063.69862140769
{5227,1830,4927,4000,15,1528,8455,6586,9842,3968,4953,7766,6194,2550,6786,8165,9072,9743,4764,7028,2500,9633,559,7296,5084,6777,6657,9469,600,6332,8834,9262,3636,478,6195,4049,5252,6139,3736,3095,3700}

{9903,3032,1011,2479,3653,603,419,3591,6085,1095,7255,2220,7963,6849,5653,8003,4455,3381,5155,6751,3793,2347,3288,7959,5017,4847,9745,5171,9838,90,7163,4190,3591,4412,3515,4143,300,5634,1084,6400,6831}

{6308,574,533,5231,1730,2267,8647,6705,7702,5415,7391,6315,2817,4107,3835,7307,2758,3772,142,4466,9594,7685,5084,8460,6761,388,3719,9590,4703,3031,242,5954,2164,5608,8990,1036,8162,1132,8613,5695,9614}

{3533,6460,8941,6797,755,7005,4477,5459,8729,7314,6183,8688,4455,5517,1991,3359,6484,6938,5868,722,4429,4324,9059,8999,3210,4054,8575,4443,7029,3322,7899,5896,8058,3293,4923,7805,4869,3242,2108,6723,5581}

Returns: 2013.9257682446987
{7785,7058,6337,1156,1168,709,2961,9724,2783,2193,1377,8913,2093,7933,3113,5607,7154,7611,9292,1863,6086,7769,1659,8678,8901,6998,6458,3857,4678,7739,6162,8997,9100,9679,4050,550,7325,9754,6644,6,7228,3749,8988,8169,7979,4501,7783,8533}

{6707,4414,9572,9629,6517,3850,6917,1472,1734,193,1828,3180,2339,9364,7897,7850,5851,4919,7278,4588,7975,6215,4166,5125,164,4724,7692,1093,9101,3522,9225,6971,3071,4934,9099,3683,287,1354,7749,7880,4090,4217,6256,1864,88,6141,1314,9194}

{665,3873,6283,735,2369,6206,5656,903,1540,3511,6472,4008,5780,7670,3233,7387,1129,4340,2191,9571,7064,1477,3707,6795,7462,5077,3087,9233,2556,7152,4895,1959,6860,934,5739,5641,8066,8300,537,1947,1924,4420,7261,8698,8102,4649,5148,9726}

{2448,6575,5170,8666,1964,8385,9580,523,739,7743,6399,8325,8777,4577,5525,3485,7887,3704,8181,5508,4487,2791,2862,8715,9947,9118,1323,274,3459,116,9602,4514,2464,2709,9073,8526,5601,6428,2562,4057,3208,5327,478,692,357,3685,1993,5324}

Returns: 1573.7474384411241
{202,1232,9607,940,8624,8561,6598,7622,4690,3784,4742,1785,7671,3953,6099,6271,8473,468,4370,3120,3251,5211,1347,8170,3945,4827,2772,6289,718,8186,8617,2295,1317,1994,2769,2531,2346,9584,7142,2097,7451,7851,5184,2760,7419,7370,9824,6521}

{2007,8624,1404,4476,7605,6598,1368,2327,6194,3006,7164,6637,6173,2247,9822,3519,8777,1697,9880,343,4791,6949,1464,8965,7241,4278,4841,8677,5060,5339,2444,3893,2735,9080,3388,1555,925,5888,1447,3265,3059,8969,1519,7148,2905,7935,9560,4437}

{7424,495,6264,2912,3206,7745,8687,3532,5571,7478,7197,714,4651,2663,3602,6069,3570,6829,4958,5201,1716,7506,9983,9919,5548,8450,5508,1723,1941,5652,7974,1598,9079,2148,4959,1074,9874,6604,1748,9593,2932,696,7944,3158,6063,288,9116,9276}

{1708,7380,4768,4160,8329,3609,7301,6599,8596,477,3995,8533,2626,4703,9943,1686,2628,3115,1343,2972,5717,7892,8504,532,8329,4662,2917,5140,7236,8449,3460,1940,2166,2468,6687,7558,5019,4786,6221,7542,689,7812,6254,9175,4486,5658,4142,4623}

Returns: 1515.8195802931166
{8131,9642,992,5789,4818,1230,2610,2326,7975,414,2928,6398,3012,7979,6035,7081,3197,7514,3911,5393,8094,7376,2224,4244,7963,9869,4601,8107,9157,2655,378,7417,5475,7399,828,2702,508,624,8860,3430,5954,1811,7201,6592,903,3708,47}

{7314,5383,8485,3179,8558,3871,3651,351,6611,4071,3360,324,6896,1054,9307,6783,4637,1758,7978,8941,8602,3892,7535,9221,2375,3629,4740,2216,8179,7091,6909,9940,8223,614,3917,8367,8603,4818,5236,266,733,7446,7013,9316,5319,8,4183}

{1158,4344,7107,9445,522,9854,8035,1447,4685,9042,5381,4896,1872,8397,2174,5076,1861,5649,9122,8205,8013,9240,6815,1692,900,629,2040,9764,8549,4466,3191,9421,8267,1607,9777,1761,5090,9983,1035,3652,1813,8322,8654,4747,5638,7721,8582}

{669,804,9840,4812,3667,6452,3538,7229,5273,4845,3353,8089,155,9408,6167,2393,9675,3910,6887,3083,5974,1885,1002,4538,4239,5460,7800,7989,8122,8600,9238,3848,3324,9769,9500,5947,4354,9001,191,2691,9437,4389,6221,132,8591,2986,7331}

Returns: 1473.5199353927994
{513,3866,3213,2634,1872,2733,6175,6393,2409,4723,4424,4863,1417,3208,1705,5100,4032,3800,555,4122,8083,8557,6680,6258,7238,7726,2114,545,5434,4034,2172,3151,7596,4508,1190,9849,1650,4837,2055,3517}

{4865,6413,6070,6947,6709,1475,328,5081,8948,2099,1653,8635,4641,6543,8375,5805,20,4696,1829,9661,8621,9331,40,9564,5759,8953,4254,6699,8376,7259,3320,8705,5214,4184,933,8405,2361,3565,716,1634}

{1950,9879,1119,298,1346,8807,9117,6802,9864,5901,5458,1943,8101,7440,5325,8450,3361,4354,8575,1518,9204,4290,2129,9347,1906,1836,1769,4311,8854,1916,8351,9818,3827,1343,3433,7814,4222,3539,9321,1964}

{7116,9884,3206,5350,5263,4490,7692,5923,7151,9264,1819,4129,8915,2749,6764,3689,200,6752,599,1579,4312,5009,5814,4700,4340,9100,5300,6261,267,6570,1822,6908,2050,6296,5967,5561,3678,6058,7554,4989}

Returns: 2469.9313755649164
{9136,2396,4165,9181,9330,6688,6437,7818,2797,8930,4993,5437,2402,2151,6095,5295,1312,5590,4149,4345,5643,6951,8904,687,7462,6282,5501,5105,3132,6437,2374,1710,2016,5148,2003,2697,532,3699,9514,2180,6554,7199,4138,4150,9169,1454}

{5161,1421,8516,1494,5544,3444,7595,690,988,7817,486,9075,8705,9876,6171,7230,9271,7625,5795,3305,328,442,4194,5169,7191,5944,837,3239,5365,17,5176,8972,9990,5020,1417,4011,7181,1135,7704,5009,2302,5902,4710,9107,141,6897}

{3204,7360,5545,7109,3758,2458,1410,3008,537,8631,982,2695,8765,4662,9784,9584,7634,4561,6830,4686,5225,3505,1912,5556,9400,1006,1350,4937,9669,6310,7231,4153,5042,1014,5115,6213,2852,3923,5227,3653,3551,3119,2115,6099,6492,263}

{1277,4519,1695,3208,5092,7310,9164,7692,4531,9030,569,1064,9354,2834,8092,1508,2880,9911,9142,9332,6597,6743,9111,8001,2287,1159,4141,6467,6711,2180,8959,7771,3817,8643,4722,8950,9497,1624,1925,7220,3877,5652,3333,7463,6155,3696}

Returns: 1578.2686716779244
{8655,5079,2000,2591,3723,5144,4705,6365,8909,2436,6525,8690,4263,9146,5007,2469,1562,316,1726,6552,4393,8315,8948,2403,2640,2959,3202,8938,6402,2312,781,525,4307,9138,137,3156,1260,8028,6207,3763,583,8181,1638,7724,5590,6859,9949,9508}

{7794,2555,1675,2130,3359,3423,2487,4356,4081,7243,4399,2424,2977,7167,4654,4875,7853,2150,7925,3736,6829,7883,2950,7188,7337,2429,5148,9450,3600,1613,205,2893,7582,9114,3640,7388,8416,6301,1349,1863,5309,6787,6122,3107,8931,709,5140,6783}

{1962,5985,6964,960,9091,5578,3287,2459,7313,6865,904,9380,3640,933,9383,9237,7624,8258,4601,4816,9533,8917,3819,6909,3565,9088,8279,5828,1092,8847,8354,6723,8954,6240,6226,3679,7781,2657,1116,7604,5367,4490,2038,2903,72,6075,3106,7954}

{9524,8787,1450,871,7296,2596,6427,4984,4792,380,6559,3091,2028,5674,6238,6581,5165,7281,8955,9560,4067,6136,8785,270,8966,2528,3476,5360,1215,8665,4133,1997,3166,1589,6508,2844,2118,1462,8893,8881,3399,172,1610,5077,7525,5323,3110,3919}

Returns: 1840.6547748016194
{6264,3745,3445,5683,3945,5839,8393,193,5074,4669,70,6005,4503,8839,2706,4032,7600,5785,2044,7569,7493,9427,3697,1671,5787,2530,7482,9763,1756,8805,2722,2465,5022,9724,9540,3662,6691,1073,1108,8784,3987,4228,1898,319,3349}

{9268,8936,6366,4351,7821,2302,7184,9963,1617,9931,7155,753,1125,8202,9568,6415,9998,514,2392,4775,3708,2971,3823,9997,3233,6345,5349,9573,8772,9336,7366,5099,8504,8127,2328,1850,7381,7218,444,2128,968,6550,2903,7417,9320}

{6471,4551,7661,1786,4046,5209,9650,3182,5364,4390,9481,7811,417,4314,6077,5513,6753,8061,978,4046,6253,647,9049,4721,1011,471,777,888,3313,6095,1190,4280,4722,3383,355,4191,9258,7999,489,4528,5687,8237,4675,3700,3908}

{8498,5573,1508,1122,4487,5850,6018,4093,8609,9907,5383,6664,3148,9462,5318,5054,663,6544,6378,2557,6416,3125,8603,7005,6472,7663,4324,7645,6467,3563,4132,6431,6028,4553,1011,8731,3865,1969,7637,8448,8532,8958,1835,2548,9834}

Returns: 1999.2891236637086
{9927,7645,4311,5884,9714,2667,9245,6469,2837,1876,7001,3224,3063,8473,8020,8675,4573,873,9485,4795,1820,6181,5206,2112,685,6183,9290,3860,5913,899,8598,160,9839,4662,8992,7255,7409,9734,376,6767,2486,2471,5519,7,447,7025,7669}

{3226,2170,2362,438,1469,5323,4012,8008,4743,3088,3437,4246,2343,6144,8015,4481,687,8610,6862,3628,3263,1370,2836,2193,5937,1995,2394,1362,2601,6264,8293,2210,6188,6290,146,3993,18,247,7836,6559,4521,8702,2771,1843,4286,2537,1998}

{6592,5214,16,5921,6904,9947,213,1028,7826,8731,5656,8892,5050,2904,4200,6817,5798,3725,5654,5425,9514,1822,7792,9052,456,9803,6784,1814,7219,3024,7050,4345,4155,3539,5513,6185,9726,2191,5277,8846,6748,3884,3717,4529,9575,1011,9979}

{6884,5559,7010,117,6740,1555,8047,1181,4004,2323,8919,6343,5226,3250,8465,9464,4082,7751,2396,6898,477,1133,2252,1856,615,6701,7836,3487,3050,9077,8131,5697,5714,9756,5688,687,8917,9883,9497,2221,9332,5261,1321,3619,9944,8580,526}

Returns: 1918.4186195927102
{9485,479,7491,167,1523,3608,283,4344,1215,1636,1354,6676,940,8448,9199,9912,4216,7670,1306,771,6809,6841,6699,6166,1952,6934,5070,7269,4661,2228,7531,6441,150,5533,3954,2010,1355,3769,1915,5891,553,8891}

{5517,3172,54,6896,9222,9122,6334,2324,3904,3534,1940,4883,50,1875,1815,9115,2418,5706,3004,5060,7742,6337,2071,7241,3107,401,5679,8067,9985,2335,9330,647,8932,8775,9273,6020,9957,9868,2576,9798,3542,2501}

{5475,991,3872,2370,8108,6870,8207,4779,3731,4018,5590,8594,3353,4783,8111,6300,3407,2260,9303,4225,7096,1104,4735,3223,5480,9327,4830,2825,3278,6060,4909,3876,4402,307,7461,4640,2215,5663,1640,5385,9518,6008}

{2061,1570,1960,2461,3670,2096,5603,2020,8648,8710,1870,9886,5153,9499,2864,6740,5170,6925,6079,4603,9838,1754,9752,6405,6070,9534,1996,605,9463,4598,8737,5853,8492,6626,5418,673,4997,4725,7518,3209,5961,4063}

Returns: 1830.1117452221326
{362,3221,7347,437,9208,3635,3551,6370,5704,9371,1885,889,9185,4046,3311,3368,7621,5280,9369,9751,1674,2822,2190,2269,1916,1089,178,6065,4211,1125,4345,7725,8265,6972,316,735,4338,1449,999,2848,3117,6356}

{4994,6449,3260,7192,2407,4773,8980,9676,7283,3922,9969,7168,9947,2570,6163,6226,8274,6474,7765,1837,5549,8912,8584,3976,547,4612,4110,142,4845,2145,9313,8868,2357,9799,1164,9207,6100,9931,892,1200,7178,6795}

{4835,5993,1570,33,4578,754,4569,4966,8236,8279,5903,2368,7241,8292,1650,3714,2418,4392,6242,2766,2228,9018,6970,2437,4793,3457,4788,9198,8716,7891,6399,10,7690,6483,2630,6816,3890,2501,8101,3548,5166,8484}

{9072,86,9170,6174,9936,7185,5824,9088,453,7895,2,5871,5208,5105,5117,2870,8283,5677,9531,1441,2999,1674,4591,8111,9505,695,3025,6331,5212,309,2675,4841,3087,1588,594,7629,2800,6747,2485,490,9712,5880}

Returns: 2082.4144640296754
{957,2313,1003,2847,1755,4856,5738,8522,3051,9377,7960,494,5134,9032,564,3410,4706,9931,7882,98,485,2464,3026,5256,3549,8600,2475,7613,7398,161,2870,5571,2739,3080,5041,1322,2013,2627,265,8439,8631,4618,3753,7947}

{7176,695,1006,6440,1210,2396,2311,3094,2084,1079,9942,5166,7019,4632,7058,9691,9696,1122,255,4378,2649,6049,4481,3012,5964,7136,6745,883,7245,1661,3613,5274,7891,1332,7501,5965,647,9691,6743,794,3453,7067,4464,1251}

{2500,9202,6723,7800,8388,4273,3973,9987,6986,7329,1387,2619,5077,4069,9078,1731,590,8840,596,6452,9149,5811,4038,5353,979,1744,5998,6902,3167,5372,3374,9012,2263,8371,8032,2692,2242,2944,9308,4805,2817,999,9375,4919}

{358,3760,2081,5217,4302,5098,1630,4299,3563,5000,4066,9178,9892,2909,2362,2448,9848,538,670,3952,8646,5728,6007,8084,922,4473,9344,1780,3410,6109,1123,8162,4539,6666,6182,843,5932,5383,3086,3906,835,9392,2889,2539}

Returns: 2043.0413603253362
{4577,8063,1228,3108,4037,6584,6484,7089,6318,3402,3798,4586,9370,1262,4874,3406,4899,2525,7364,8559,4950,4354,1467,3085,9773,6435,321,3928,1980,6237,9176,7832,1998,6815,8361,2293,9800,2149,5043,6544,7927,5023,8770,7569,811}

{3098,9929,6458,1270,5609,9996,891,817,5649,8317,9043,8404,1015,4450,76,17,7068,2578,575,5159,2150,5306,2008,3303,8362,4042,6058,9467,2681,1000,2790,3877,3442,7786,6683,740,7157,5596,5502,1115,697,2015,7029,4885,3824}

{4449,1557,2295,9336,1173,6491,6242,1261,3778,9719,4894,2284,9473,5020,52,6669,7902,4930,5980,7933,6049,9401,9632,8468,5056,7634,5315,4829,3956,8071,8748,3682,5321,1552,5543,3417,7823,2635,9097,6430,706,4085,2899,7061,5184}

{7596,345,7869,943,990,7460,1247,7682,4255,244,7647,5424,1978,3970,3125,6521,9976,8643,3691,9017,7350,844,7229,8973,9542,7805,8907,7527,7339,8689,5056,7677,6879,8124,533,5787,5619,6942,4556,2824,9283,5158,8,321,4788}

Returns: 2863.838682607664
{9415,8644,6830,7066,9953,4755,1807,9955,2175,7086,4026,4608,4221,2805,5427,9666,8627,5517,8165,9578,3729,4098,6187,4242,6682,4387,921,3996,3055,8728,6060,4958,8055,8359,6446,9722,4331,3661,6062,8400,1393,7253}

{9516,2257,201,7737,9212,425,5567,329,4100,4160,2630,2546,2893,3681,1216,633,7396,2048,2771,8461,970,8956,7284,5395,5176,3938,878,6088,9564,3985,9068,7177,9636,584,673,5905,7975,1161,7410,5644,3535,9946}

{2168,1236,6067,4145,9178,5310,4517,4341,8852,1764,6941,8186,7199,5818,6285,1152,2678,69,1773,9179,7531,9666,8227,2454,6339,5951,5108,181,6814,3591,302,1312,7809,6176,3613,6264,9560,5293,4995,4607,1147,8086}

{5804,6178,5375,3587,7246,8099,7921,5317,5943,5123,2316,196,7197,1282,4462,2075,8247,9068,8055,4199,1551,687,6631,4861,6861,9366,6911,5593,7066,5675,8418,6900,2850,3912,4401,6523,1125,3513,9038,5252,2253,505}

Returns: 3026.914600711424
{4127,3346,4090,3246,4727,3897,6856,4141,8734,6391,2273,1583,3534,7316,5950,8917,7283,5653,3773,6813,7467,4894,5187,5611,139,6966,9623,2084,4812,3076,1108,5613,16,6471,6034,8769,4528,2101,9078,7326}

{2503,3737,195,8283,4978,3512,9785,5702,4451,1879,7603,9239,3279,6470,2313,8324,1006,7170,2157,7860,5950,4674,777,1637,6513,9,5273,9221,7227,44,1471,1316,4519,3958,1441,8619,7202,5709,8220,9126}

{5923,5272,1059,4000,2861,6049,6638,2722,7931,2756,5941,6583,1850,2240,6160,8284,1624,1522,896,9973,485,3842,5119,9924,9123,7238,3912,4269,3198,670,13,8761,2154,2684,5141,5577,4306,7599,102,165}

{5024,1628,4935,6258,4289,7915,9496,9823,3656,7844,2353,8275,5804,9540,8066,9682,6428,4082,6681,312,2401,9530,8943,6341,5275,1543,9349,4648,5140,5617,2054,7718,9834,5904,4642,7651,4501,5646,4722,4260}

Returns: 2778.0813523005404
{6699,7457,2772,8938,1986,8980,8177,1526,4267,8057,6035,491,6375,6831,112,777,1894,9152,2201,3384,9019,3882,5209,8540,4124,9203,8483,2361,80,2870,345,1981,4285,3469,2874,4161,1413,7632,3892,2376,5913,8237,1195,7375,9214,8583,4002,6216,6664}

{3231,4255,8707,3125,439,2290,453,2128,9336,949,7015,8885,5475,5449,7508,6134,8100,5864,7556,9692,7971,3564,7135,522,6487,186,2213,1862,1091,4148,5183,6367,1973,9694,9070,8315,5046,3487,544,5836,6231,3742,6714,8187,2015,6884,707,3065,1308}

{6511,4205,4405,2289,713,5700,7610,2710,60,4235,5234,3142,6572,742,3170,2360,7652,6416,8176,3909,2763,7750,6593,3817,5444,8186,924,7417,5685,1346,9253,258,7655,886,2518,8133,7773,1935,4651,1191,8140,9146,540,7172,316,6341,6874,8718,4456}

{8210,2306,4669,4774,4831,2428,5633,9581,4204,1220,4739,3933,8098,4113,3859,4415,7053,1942,4289,4139,6536,862,8233,3617,5011,5424,4705,7300,8921,9823,4849,772,9585,2300,1658,3624,7010,7719,9132,2971,5616,3293,5819,2649,6876,2494,7800,3076,3870}

Returns: 1477.480625930506
{6764,1047,8956,3585,1398,9814,7528,8314,2260,4591,1057,678,1096,9214,9903,8592,9297,8292,5005,5986,4791,527,442,7411,1494,5828,1008,8900,6286,1195,9844,142,8528,418,1093,2940,7123,2541,2616,944,115,4128,3720,5694,1824,321,2951}

{2765,811,9809,8787,937,1527,6288,4443,1101,9589,5487,654,7285,9195,9964,5285,9953,8265,327,5717,265,1376,2178,5095,942,560,2139,8916,8718,8942,7995,6976,3407,2230,7929,5661,8570,3073,3866,5600,8777,3249,3911,9656,8477,8718,8895}

{2108,6067,6763,2750,7469,3326,4505,6125,841,5210,7228,3354,7986,903,8501,2757,7872,8191,2711,741,562,7905,3909,2834,8266,2803,308,1637,4541,5849,9456,6696,6678,2906,9066,1272,6238,4859,8517,1046,2752,4131,6011,9721,5597,631,6399}

{6630,4790,9198,691,9400,8805,4728,2409,1767,8255,4263,3963,2675,367,7751,2568,3144,6023,4653,6418,6073,4652,4242,694,8285,2612,625,9563,9783,34,7499,9128,5243,1156,7621,6378,2731,3120,2018,9106,4643,8259,3921,1792,5874,4848,2413}

Returns: 1386.8273144122884
{6279,7464,2519,8017,3212,7953,528,8594,6536,8245,5060,4905,80,8008,1318,1144,177,146,1710,3470,769,4282,3001,6159,3867,6830,1324,6856,363,2679,43,5937,6196,3475,5467,4960,8855,7503,5409,9228,9256,6169,5612}

{6542,9019,2102,4673,741,5336,3894,113,7879,1296,3143,6111,3113,2601,2371,648,6379,1594,7493,2441,4476,3113,5245,7751,5080,3509,5019,2856,7663,7822,120,7194,6324,128,3429,2156,9543,2052,2486,559,1840,4431,8985}

{2491,4217,1345,822,5661,7984,9096,4828,6002,5852,8520,5298,8245,3945,3779,856,7937,5128,913,5167,8189,5542,4461,3956,7407,3357,7545,6755,3000,4753,451,8366,6061,2128,2667,5065,2027,9537,3411,519,2317,345,5625}

{2519,9674,904,1240,5636,7789,3091,6892,7531,4731,7833,5087,4772,1244,4200,7410,3973,8743,4987,1598,9162,8099,9731,1603,1690,2221,2759,3929,7689,7421,1293,5276,8044,8561,8572,6455,5938,3004,7027,7608,6905,8341,6496}

Returns: 1587.9962216579736
{1771,2357,7159,7679,7509,5342,2183,9712,3290,7558,4674,5345,561,7605,7347,1118,4481,2145,2959,6406,2367,4060,9970,4403,7819,7504,6355,2516,5484,4883,6596,7170,1511,744,6830,8032,4651,7578,3159,6642,3026,8538,8133,4469,1567,2068,386,5370,5112}

{6443,1940,2126,8457,2965,8090,3769,3206,3741,4705,9823,7762,777,8018,7060,4499,3988,8065,8279,6665,476,1192,8315,8239,8549,8519,7297,2266,1442,5389,6113,2669,5796,6799,9118,4538,9833,3793,9055,7892,6276,5849,9211,9924,4995,4228,7799,716,370}

{9705,6441,8916,2468,7336,148,6133,9376,7792,1418,7558,3919,1432,1652,9806,3438,8345,8025,220,4315,6291,3783,2337,5421,4943,6089,141,1599,1408,6397,6114,2188,2043,8367,8062,9586,5559,8330,9745,2847,2413,3276,282,1331,5488,1395,7361,3373,7065}

{3954,2091,9008,7488,2712,3785,2841,1254,6423,1952,8642,3643,376,2371,41,611,7890,394,3454,3347,9276,2034,6598,9538,1174,6668,9875,8741,1227,6325,5596,6860,3111,6594,66,4714,6913,4119,3516,5720,9868,5703,2878,7663,2443,4009,2432,3582,4773}

Returns: 3166.395584888281
{1201,7604,8799,9811,4135,9136,877,666,491,4814,1692,7123,2642,7725,5336,1112,4058,9406,2356,4747,5420,9021,7295,1540,4836,7876,2826,5482,7158,4294,5505,2958,7397,3844,8103,2531,3246,9911,3561,7567,1703,9627,5534,6708,4789,153,539,7210,9375,308}

{6340,9342,4319,7242,9744,9173,4044,3584,2905,5963,6910,6716,5981,6790,6103,739,9294,9474,307,7404,6042,1233,6127,90,5674,9259,3660,2212,2923,8190,245,5032,7506,9516,7367,9893,9487,7888,5724,9855,5310,9341,3472,5761,9486,6436,2615,1701,6949,5315}

{9839,9390,8916,2163,1860,7028,8949,1711,4639,5511,5479,8854,3508,561,5213,4120,8558,6736,3136,7470,987,3238,8106,3971,9190,712,668,2958,9549,4013,8106,5663,6981,5948,1702,6323,187,7002,1246,1767,6644,6037,1750,4479,2312,6962,7404,4131,1076,6392}

{3111,9625,4606,6253,1810,4075,2374,5311,8005,4861,9,1464,1780,7533,2304,2998,7323,1042,7217,6056,3247,6668,6221,9218,4216,9493,8441,3116,8847,7410,3584,94,8912,2681,8655,8900,4819,1020,3458,9418,2394,3225,9901,2444,5939,4341,65,9502,2588,5376}

Returns: 1869.9820854756872
{6705,6122,6108,2551,4127,4318,2441,315,1817,8386,4758,5695,6263,5358,4608,2484,6578,5307,4035,9564,1268,6779,5014,9640,1583,88,7985,8342,6483,3459,4489,8661,4200,7022,8912,5747,5402,9656,4317,7058,2958,3688,7393,2852,3306,2447,7494,2043,4425,5656}

{8573,4905,1082,9664,7905,5034,2397,6597,9209,7902,2882,9454,2167,8596,1019,2505,9774,9026,2455,2581,8713,4874,1346,2608,2909,6968,7361,2058,5240,2062,3348,9316,2407,8041,8673,960,7983,8524,3211,2959,8609,1898,7009,8776,8366,9755,612,9389,6307,9746}

{7752,2605,8910,7268,1092,7479,7771,3470,115,8999,4212,391,4751,5520,7737,6503,7259,2429,3860,880,4535,9546,6914,1723,2650,1990,7571,836,8611,9541,90,9097,4349,9455,4304,7893,7942,7780,7314,1545,7048,4127,9929,5696,9583,4935,2814,6681,6611,197}

{8095,7687,2949,2535,844,4562,3037,9018,2338,8087,2491,4331,7007,6583,4088,6161,6718,3744,9538,9769,6593,3684,6572,9937,4616,1018,2323,442,29,992,7986,6088,5517,4644,9777,2246,8185,4009,1172,6969,4314,2357,1451,615,2926,4481,5507,8034,3115,2009}

Returns: 2529.4366961835594
{4784,8402,5400,7688,2486,2103,2599,3672,8230,1639,7446,8448,9496,1070,791,3368,8174,7631,8897,5964,9213,4695,6008,7451,8372,5082,8536,3089,4080,9721,5838,400,8394,6663,2605,233,2052,5451,7839,5673,8643,1832,5446,3816,2855,7829,1418,5389,7856,2156}

{1051,234,2151,7848,8497,51,5146,5051,8575,6651,1089,3451,5351,4589,2520,6762,9972,9763,7070,238,9978,5917,8977,5015,4275,8064,8772,1863,8774,7818,6117,9351,7688,5645,816,1428,5504,5027,6991,9424,4607,3535,5412,3447,3577,5823,9004,8220,1145,3532}

{7386,6880,2470,8679,6414,1032,7119,6595,9361,8548,5713,4785,7446,6772,406,9343,3440,248,9383,737,1173,944,8106,6407,9787,4458,7807,1826,7698,7200,6186,5056,1299,9555,5356,9761,3382,15,1995,1712,6284,5297,4740,3763,4765,1427,3800,4301,3614,809}

{9962,8272,179,8769,570,6834,5548,1185,5906,5471,5481,8716,2339,4514,3572,9329,5307,2742,2035,5016,1864,9800,6780,2353,9537,6135,1274,3086,6450,5497,4204,9770,7754,4960,5911,1433,3337,7487,8628,4298,1830,2038,5499,2522,5890,6216,3389,3991,3786,6443}

Returns: 1826.5464680648013
{2629,7215,6744,6001,2219,2538,3122,9135,6592,4204,5764,1396,9007,5675,2386,4518,4774,4913,7514,9298,3053,6111,9461,3134,249,4266,1399,2907,17,7619,1537,8210,4862,2931,7397,9930,4339,8627,9192,9191,4864,770,7312,1636,6114,6914,8900,2067,9043,2782}

{6509,8305,819,7112,9316,7765,1163,4547,6451,9222,6753,2015,2738,7340,4788,1438,5119,1717,2369,9964,2138,4195,9444,6351,1590,5574,2405,9278,1336,6758,3373,2554,8281,9297,118,2259,510,352,1666,780,7602,7079,4560,2778,4091,5408,4784,8060,1106,8262}

{7795,4178,4974,263,2828,7112,401,5050,8776,8575,2644,3861,7810,8147,2158,9798,146,351,3335,2308,2017,8972,5469,5126,872,9836,3443,5162,2805,7080,3148,7386,7209,7892,6621,681,3654,732,1913,9679,5997,2022,2690,7558,8711,6322,2548,4839,447,4971}

{4486,6147,2267,692,1686,6853,5721,8742,2773,5300,6615,4979,8386,7956,2242,8742,8770,4541,2739,7192,4329,9061,5403,5736,4951,863,292,985,3139,739,2126,1246,5915,7067,3456,9558,527,6988,4144,4266,8938,7627,2117,2135,6100,2350,422,9005,7031,7060}

Returns: 1802.4585986923528
{8541,4438,484,6812,8043,2192,9366,7552,327,3962,9521,8899,2417,9608,4105,8199,2525,1620,6610,2194,6248,6864,3481,5822,6857,3683,3337,8865,4694,9345,7791,5451,671,2850,8872,1411,8863,8086,8047,4486,3208,2326,1850,2375,3314,5100,9109,3654,4354,2389}

{355,6363,1166,8171,9583,9063,1142,9304,9977,2785,8381,3922,2841,9936,4999,8237,8516,1147,5333,2686,7287,4636,1561,1629,963,7475,2482,7447,117,3776,460,4057,1984,4799,1541,4856,4031,5956,3720,56,8189,5749,8384,8452,747,1604,9911,8592,2913,7636}

{9064,9139,9826,8221,2568,911,8440,5828,4652,159,6101,1137,1388,9129,3305,3632,6290,5971,5924,4967,7989,4392,7125,3475,7644,4268,1514,2148,1077,8248,6516,5104,632,9320,5961,7515,1761,4367,923,4027,9341,8694,2764,647,8709,6524,3415,5114,6437,2488}

{5556,2972,7664,1533,2097,5133,4498,796,8621,2843,8033,1533,9905,528,4993,8547,418,3036,4338,6245,4113,6516,2072,174,5487,1850,9831,3590,6953,5614,2258,4062,7484,3584,8188,5129,7553,1778,589,7981,5363,36,324,8186,9364,3145,8680,2459,2059,4496}

Returns: 1514.4385098114747
{8230,4730,6141,1777,3271,1169,183,8209,5272,8557,8801,1536,3860,3727,4141,9005,903,3653,4010,7680}

{7803,8790,656,3895,5880,4824,9175,2381,1536,8492,3773,6853,1145,8498,5842,6228,7480,4359,4327,2712}

{227,3967,4841,7292,780,4188,9293,2208,5919,5379,9068,7287,8066,6086,8680,5681,6647,9839,2190,8497}

{1074,8187,4859,8917,3951,2844,6903,5234,2116,9737,9929,1292,7458,8127,7030,9939,1508,1830,2351,6060}

Returns: 3218.7794270499494
{438,6322,6405,4777,3911,7663,6787,5034,3770,4374,649,7980,2001,7226,5209,2634,1961}

{1047,8009,13,9613,7510,2847,2172,3200,4990,5732,2986,8936,4947,5600,2221,9912,81}

{8702,6188,8350,682,3878,5550,9805,8084,9060,6264,9597,914,4475,170,1230,8322,8843}

{5966,8069,5390,3345,6549,7348,1221,8000,9196,2086,596,1544,2348,2884,9909,7133,7894}

Returns: 2967.719157871917
{2583,7672,8239,7025,1833,4194,3350}

{3615,3133,2082,3914,6954,9694,5748}

{182,5743,5926,7043,7058,3655,929}

{4921,5052,9772,7432,5315,5725,6845}

Returns: 3518.0460485900408
{8277,9582,4069,1795,5408,5453,7747,1781,995,4128,1864,4508,4505,2307,5288,7202,20,891,4446,4687,1324,2540,9925,1581,6252,4735,4818}

{8270,340,1525,1643,2326,5052,2484,4534,9329,7164,2405,4330,2908,9674,6970,1134,6440,7005,3300,8356,6331,2726,1169,6465,7395,5591,8772}

{2199,461,6865,8545,8751,9072,4563,3974,6167,4233,842,1903,753,1771,585,7826,4783,2253,8348,7145,7629,1612,55,9504,4271,5421,4582}

{2545,4187,7990,6222,7172,4509,6911,770,5844,4851,3254,4706,972,2548,7636,2654,7053,8841,4919,2125,668,1572,3687,3824,5680,9348,3411}

Returns: 2508.0721680206893
{7571,5280,8894,8071,5811,977,8152,4716,8568,2401,2108}

{9234,6200,1779,207,6948,9687,7851,969,7260,6447,5021}

{5886,8618,2122,4313,7079,9269,3243,4919,3936,1450,7934}

{5292,3363,9836,5202,9453,1792,172,1926,2380,469,9130}

Returns: 3304.051452383876
{7884,7637,1684,7699,57,3390,4517,735,680,3792,5788,495,2904,4330,8251,4544,593,87,4154,4975,8975,5269,5191,374,153,3847}

{2320,6840,8993,3227,113,50,1907,4340,9048,681,7752,2494,5366,1614,3194,9185,1834,3367,767,1887,6474,9904,5822,6225,3988,3383}

{3485,1736,2016,3499,1558,4840,6836,5707,3912,3552,4230,7703,7646,3439,4020,1623,5446,2171,3677,2205,9838,2199,5961,5951,459,2674}

{3505,8027,2046,2554,6424,7617,4436,6699,4934,5000,1889,5919,2958,7935,7448,2991,1039,36,7179,9849,7485,9770,6100,9493,5318,1525}

Returns: 1970.9129864101053
{8676,9558,4878,2869,6953,1044,7262,1968,3127,3123,6383,423,2250,9459,6819,4650,4882,4324,2380,2218,217,8426,8708,5278,4403,6185,3567,7933,9051,9452,9831,2556,4953}

{2066,2064,9337,5632,5275,135,9160,1435,121,9584,9580,8472,2058,5862,6505,2111,2634,8421,9408,7919,5182,5417,1636,4128,6008,200,8740,8370,6094,4543,9798,3662,8308}

{2421,2470,60,3751,5108,2920,3326,9168,9763,9195,7240,2043,7828,4050,4678,7543,4110,9404,324,8153,7627,666,7552,2168,764,5640,6119,9253,1768,2992,5691,8071,5542}

{1405,8529,6345,3106,5041,1075,7756,3588,2418,7520,1592,3006,5327,5396,5066,3055,6338,4981,402,4660,7557,9120,7295,4618,3014,2922,1475,4613,9687,8360,4437,7624,2151}

Returns: 1766.955573861437
{3629,6751,8655,5115,7809,6759,7133,1810,6102,2539,1777,242}

{5294,180,988,7780,1635,7904,845,7405,4800,2567,4795,2339}

{8723,9275,6705,5875,7981,7666,1158,4135,17,2984,5086,3570}

{6166,53,5980,4499,412,9074,8190,847,650,9158,9116,4396}

Returns: 2622.582696503582
{8024,64,221,3586,6316,6099,7715,2642,7349,9622,6129,7219,6923,7100,4705,288,4000,2592,7261,7459,306,8657,3459}

{2744,4541,3319,3368,2101,7965,9739,3085,944,6710,2974,4096,7809,9703,4489,9681,557,115,4040,8739,9916,274,7531}

{8977,2842,2264,5533,2960,1699,1796,9748,9810,1327,2412,6466,8223,288,9431,4336,2938,7982,4055,7955,6979,6478,8847}

{5742,7186,8056,7813,8306,7148,8442,8803,6844,1179,5389,8371,5024,5318,9451,3026,8961,2171,9015,5910,617,5224,2078}

Returns: 2315.451575827057
{8143,7882,7702,2239,8721,6029,7292,4436,9868,8680,4616,4377,7801,5976,5365,3681,2435,1820,5919,100,7903,1704,53,4656,1695,5423}

{1037,6594,1278,8389,1041,3896,6044,137,224,2188,6244,485,8158,8996,6771,1003,677,1781,8491,9889,283,1369,8735,3601,2989,8052}

{2603,4210,2405,3543,8698,628,3913,3000,4128,4856,9297,8041,9250,1399,8791,8061,7689,2733,3918,3579,938,5739,2345,6069,9722,1169}

{9508,3069,2138,2118,951,6369,1718,6761,2983,5220,2674,2785,829,6599,7084,671,4054,7792,240,2457,8586,7226,9337,7352,8310,1108}

Returns: 2434.867758216039
{751,3703,6606,5401,7085,3887,5479,6770,1913,2199,6674,9491,7326,3466,2595,1768,8548,6903,5062,7269,3106,3933,5825,2407}

{1990,3282,7106,1101,9397,5099,8378,9413,7361,4874,2675,256,6822,1291,1380,9550,7998,5733,8263,4465,5797,146,6389,5935}

{4227,5663,1235,896,5247,6051,5234,6579,3113,1092,8345,780,5891,6180,8651,8693,8027,6724,8728,8817,6464,8690,9660,9529}

{6174,7446,9667,4321,8188,6342,5499,5200,3239,2171,5718,7493,9553,4998,7096,7193,5091,8478,2507,6710,4000,5795,7937,4509}

Returns: 2260.4282780039716
{4471,433,6785,9156,6534,328,3858,7111,940,800,2575,2092,5514,9959,2402,233,8643,8457,2994,4053,5226,5420,6654,7997,1878,9869,2537,2001,6400,2654}

{8812,7447,9630,6470,8598,9944,2076,5750,2588,5195,8422,7979,5172,8100,371,8110,4823,1570,6786,6113,7630,1985,113,3455,2891,2966,7408,419,5792,2470}

{436,9247,9370,881,4767,8449,4567,4837,7168,2177,4720,7145,3593,8846,992,4500,9131,611,941,9818,3743,6118,9825,3671,5387,6866,1785,1852,5520,2225}

{1190,8526,1322,6497,3722,7105,3554,9659,3388,5656,9414,773,7452,4724,8047,4509,2368,9047,3199,5704,7769,1740,1668,6151,5639,9943,9456,5331,9694,6881}

Returns: 1639.2574538491506
{902,9224,2138,8203,3164,7979,172,6352,1814,450,4449,8646,8816,6655,6790,2725,9339,9267,9307,838,5189,848,4488,1861,7816,6903}

{5925,4072,1986,8065,2256,8792,4287,4035,2542,9183,6233,4466,1011,5227,980,7906,9961,6942,3451,292,5245,3747,5132,6758,6639,4955}

{615,86,9947,5405,3794,8249,7471,7953,1470,1202,4367,7966,6886,396,3910,7752,3673,2806,5905,7788,3179,333,2231,2473,4487,8157}

{8054,6495,3900,9450,4764,2749,957,5573,4944,875,1857,4836,1197,8201,9283,5354,4513,9426,38,4273,869,6634,5037,4290,842,8559}

Returns: 2656.7724780266753
{6257,7063,8091,6401,380,9666,2853,8199,6322,9423,8505,8644,2497,3926,6842,9227,8641,3470,3666,5800,9897,9650,3445,870,8303,7593}

{7585,7323,2124,7025,414,2614,6476,4497,9052,8468,1888,125,8042,6386,7470,9590,9664,2225,5583,2764,5647,5622,3039,747,4088,860}

{4784,1920,7227,4116,5381,2531,5665,5182,25,7131,3275,3641,1028,5912,298,7684,7333,3561,9747,2364,2542,1317,61,9418,8462,789}

{1627,5876,9746,4742,6588,2381,8192,6504,5788,6414,8074,3980,6162,4402,8569,399,6153,5981,9354,8395,2647,9414,3575,9590,6238,1585}

Returns: 2941.439273553
{9981,6823,6557,4184,1462,6371,398,2559,6734,725,1238,8874,1200,9976,669}

{5778,1336,9137,4539,1200,4694,407,8416,2081,7743,9973,644,313,7259,2950}

{1645,1254,9795,7567,856,5032,5370,4751,5809,2726,4415,6558,4672,4175,6316}

{2016,6656,6830,5250,1452,9757,5791,9892,1714,8036,4933,6231,2483,8575,3511}

Returns: 2100.820791976317
{2683,6623,9642,7961,6830,6275,1285,8705,5586,2790,3194,6057,7786,4658,4861,5666,6477,70,2406,6061,3559,4657,5970,2265,6185,7225,1363,9920,9914}

{710,6250,2180,257,7077,2887,9519,5403,92,4174,3013,4389,740,6485,9682,5153,3113,3336,9956,6068,534,1559,2962,9407,6263,8299,8890,8121,3754}

{2943,3545,8494,4970,7896,8873,5730,5977,6998,6851,2202,4083,7923,1629,4352,9018,3720,610,6069,2620,1308,3069,9004,2398,9849,4904,5254,3721,4007}

{6101,9714,4147,2837,862,6728,4071,2954,3162,8639,3068,1473,1680,2482,2466,4552,6544,7239,966,847,2478,5307,8508,1837,9638,7923,329,8592,7145}

Returns: 1814.6101509690725
{3825,3407,947,1500,5176,9166,823,7440,5611,9370,1633,7935,4891,8412,8272,6320,5371,4582,5022,6023,8926,9852,7265,3251,9681,1714,1496,4254,7574}

{4522,7446,5649,7091,4860,1184,5391,9075,6532,4901,6398,4511,7115,2072,5087,5312,1565,828,1199,3429,8768,5938,6792,8405,9217,8185,8862,4810,8834}

{9523,6230,9976,4319,6055,14,7318,4601,2234,4148,503,7172,2739,4593,527,1271,2363,852,3485,8207,99,6199,1013,6058,2182,3104,2172,2082,9064}

{981,4912,3623,7959,8966,3518,1187,3445,5636,8047,4900,9098,6166,2988,5662,6055,8531,6686,4930,1262,5703,3498,3417,9270,7109,1477,1549,2039,4344}

Returns: 2777.8626675917585
{6119,599,4568,3912,5196,6282,9156,2200,9295,4792}

{8868,1775,7807,1345,6431,162,1825,9649,5394,9422}

{557,6693,1757,6143,6243,2122,1657,7613,3812,2756}

{8678,2152,7738,8441,5893,8340,692,1566,1339,3451}

Returns: 2402.4096236903483
{5282,3427,8224,1054,5054,3740,6663,82,9633,4950,3329,609,2694,381,3509,7816,9369,6919,2150,1410,204,3550,1051,5516}

{9851,8721,8028,2653,1161,7035,3347,9256,1974,9735,9653,9401,3085,9866,8481,2085,5565,1864,4762,2987,4625,1331,9069,5748}

{8370,6003,7629,2905,952,7092,8413,2017,9532,275,3328,5678,9593,7441,6265,7607,309,5331,1949,4175,4671,1027,5852,7798}

{5114,9622,6774,8899,6082,5999,420,2971,27,5528,895,3294,8977,3643,8386,8070,8806,2547,9785,5814,2117,2027,9017,6743}

Returns: 1949.6179112841573
{6496,4067,5370,5011,3313,9366,9298,6215,1003,2561,1911,7154,5194,1842,3986,6284,108,4313,5791,2798,5495,6317,7388,3448,6540,3022,4431}

{5420,9504,2412,4897,1816,8248,6589,3433,2217,3954,3723,5012,7481,6291,2731,6557,188,3731,7606,6551,4690,6459,2250,855,2962,1341,3624}

{2253,7653,982,4037,3432,1362,4151,9991,2031,9424,6771,2043,3994,2786,1720,3696,3366,4810,4994,5307,6980,1380,2818,9772,250,8405,2397}

{8856,1239,13,1293,2445,5548,8320,3144,5333,6392,6616,4143,4270,3733,9521,725,5006,8246,7206,128,9514,4671,8968,8221,2144,374,8226}

Returns: 2752.243630204274
{3091,1298,3977,8212,4596,2806,2810}

{8087,9124,1690,1295,9797,3147,4209}

{5036,9738,4095,3983,2988,669,9887}

{1804,2258,4480,250,4160,7613,8819}

Returns: 5380.6286807398255
{450,3320,4673,5741,5826,1164,9201,9901,3682,5017,1842,3552,4497,5724,4935,3598,507,3149,1770,6161,1886,919,1465,3135}

{3726,2789,7854,1259,2766,2067,681,514,5030,1666,911,8278,299,4654,7501,8218,2885,3020,5383,1975,6760,7066,3193,9274}

{3777,9740,5787,4775,7149,9888,3211,3560,3867,1126,6912,8608,7875,8122,4641,9424,7690,4667,9265,5942,7297,7665,2404,8392}

{8951,737,312,2649,6070,7630,6246,7800,874,5272,7983,2943,1524,487,2906,5437,2226,1745,7875,700,5610,1579,761,1928}

Returns: 4954.679606190495
{2125,2499,4938,8233,8428,214,607,874,8827,3772,736,8828,1092,9577,9909,4224,9968,4743,4206,788,5961,7666,7608}

{8789,9122,2340,7667,1781,1149,1169,1208,4570,8975,6227,9394,2054,6957,757,7429,5417,2613,8849,7758,8561,3647,9627}

{9677,9840,9059,3124,4315,2754,559,450,2391,2820,1100,6900,406,4510,4388,5288,3724,795,8879,4566,1370,5498,6744}

{1045,9971,1136,8638,3436,2198,7822,512,5284,293,597,3548,5342,3036,2713,2430,8082,1374,1731,8143,2730,5089,5382}

Returns: 2588.551911783884
{7968,6303,2998,5699}

{4453,5402,6459,9898}

{4575,2193,5594,9809}

{5588,6276,2327,8232}

Returns: 4203.584422846769
{3391,9849,4522,8094,4816,4219,3350,4100,6754,6583,5044,937,9733,1221,6602,6187,8019,5849,2181,8376,9171,3402,6194,425,6913,3401,2213,5174,2333,7884,2704}

{3759,6862,9871,5181,4748,8298,529,3705,1121,7807,7011,5009,2121,4892,2913,3914,2427,590,4458,5586,5561,688,5085,3071,5923,3830,1182,2214,4464,9500,3948}

{8067,9000,8101,7111,3444,3411,5418,6714,7180,7576,7697,1971,6169,9094,7412,71,1211,6838,1152,2916,929,386,8646,9776,2124,2148,706,5140,1585,7193,1144}

{9329,6879,863,149,900,840,2074,1346,327,8832,662,5254,8193,273,7817,6645,8334,136,9320,8569,1586,7028,4545,8827,6286,4291,4711,1936,521,9104,5392}

Returns: 3232.7964674566197
{0}

{0}

{10000}

{10000}

Returns: 14142.13562373095
{5}

{5}

{5}

{5}

Returns: 0.0
{1,2}

{1,2}

{1,2}

{1,2}

Returns: 0.0
{5999,5646,5379,5599,8912,580,299,4824,1676,5188,7466,8530,1826,3607,7225,6336,4178,9650,4703,1794,4507,9312,1470,3518,448,1770,6936,7288,4634,3849,4462,4127,5044,2962,7214,9368,7589,3538,8726,7678,5926,1911,3204,9080,3488}

{3534,2737,6033,388,6772,3014,6530,9436,8482,4885,4592,7842,7967,3298,2768,5343,5783,4374,6263,6830,3117,7759,1081,9098,9946,9012,3456,128,6986,7040,5572,5913,6436,1560,2571,9823,6509,5615,5859,9500,4740,8110,7682,6307,5107}

{5999,5646,5379,5599,8912,580,299,4824,1676,5188,7466,8530,1826,3607,7225,6336,4178,9650,4703,1794,4507,9312,1470,3518,448,1770,6936,7288,4634,3849,4462,4127,5044,2962,7214,9368,7589,3538,8726,7678,5926,1911,3204,9080,3488}

{3534,2737,6033,388,6772,3014,6530,9436,8482,4885,4592,7842,7967,3298,2768,5343,5783,4374,6263,6830,3117,7759,1081,9098,9946,9012,3456,128,6986,7040,5572,5913,6436,1560,2571,9823,6509,5615,5859,9500,4740,8110,7682,6307,5107}

Returns: 0.0
{1404,2011,2308,3916,8940,6710,9780,9492,7894,1981,8279,650,1894,118,4232,8966,8754,1533,8080,9820,8253,2082,3945,7240,4959,6675,6855,7540,1090,4176,2487,6731,4407,8593,4467,6731,6156,1553,4201,5370,4039,1078,8242,5167}

{6947,5011,7318,106,9036,5264,7028,1914,3702,1646,9383,5247,5742,9123,6631,4776,3243,9503,3006,8962,4128,4796,201,2957,1797,908,4436,4358,4878,6698,126,6807,6069,3378,5165,6449,5095,9276,2790,6239,750,4934,5066,3101}

{1404,2011,2308,3916,8940,6710,9780,9492,7894,1981,8279,650,1894,118,4232,8966,8754,1533,8080,9820,8253,2082,3945,7240,4959,6675,6855,7540,1090,4176,2487,6731,4407,8593,4467,6731,6156,1553,4201,5370,4039,1078,8242,5167}

{6947,5011,7318,106,9036,5264,7028,1914,3702,1646,9383,5247,5742,9123,6631,4776,3243,9503,3006,8962,4128,4796,201,2957,1797,908,4436,4358,4878,6698,126,6807,6069,3378,5165,6449,5095,9276,2790,6239,750,4934,5066,3101}

Returns: 0.0
{0,0,0,0,0,0,0}

{10000,10000,10000,10000,0,0,0}

{10000,10000,10000,9999,0,0,0}

{0,0,0,0,10000,10000,1000}

Returns: 10000.0
{0,0,0,0,0,0,0,0,0,0}

{0,0,0,0,0,0,0,0,0,0}

{10000,10000,10000,10000,10000,10000,10000,10000,10000,10000}

{10000,10000,10000,10000,10000,10000,10000,10000,10000,10000}

Returns: 14142.13562373095
{0,0,0,0,10,20,30,30,30,30,20,10,1000,1000,1000,1000,1010,1020,1030,1030,1030,1030,1020,1010,10000,10000,10000}

{0,10,20,30,30,30,30,20,10,0,0,0,1000,1010,1020,1030,1030,1030,1030,1020,1010,1000,1008,1000,9000,8000,9050}

{0,10,20,30,30,30,30,20,10,0,0,0,1000,1010,1020,1030,1030,1030,1030,1020,1010,1000,1000,1000,9999,10000,9995}

{30,30,30,30,20,10,0,0,0,0,10,20,1030,1030,1030,1030,1020,1010,1000,1000,1000,1000,1010,1020,9043,8005,9054}

Returns: 8.0
{5821,559,3795,9827,1497,5762,5838,3095,2192,3424,8798,1715,1707,5518,1021,3481,2836,9810,5815,3487,552,9138,977,7908,8835,2094,9146,1833,1834,3445,554,7304,7942,5812,3930,5008,5001,1475,9802,1510,5525,7291,1719,1733}

{3161,1061,1074,1134,3422,6508,3400,4823,3417,2964,4274,9017,3530,3541,3093,125,1142,796,3425,553,3403,1594,3122,2166,9015,1942,3536,1724,7302,6521,4445,4453,538,1113,3120,1061,9246,7990,3175,3486,4421,109,3409,3587}

{1848,592,7329,554,4993,2665,7957,366,9822,3456,574,400,7929,6864,5767,6303,1492,5764,6671,6294,5771,6311,3095,6661,7316,9810,2671,6283,1819,7962,3134,6289,1001,7900,7305,1024,1986,7290,1513,5040,2183,549,2684,6291}

{7278,3148,3180,4799,1087,2158,4823,4262,2170,3572,2143,3409,4438,4636,7293,1100,1610,7294,2981,9250,3537,9245,4295,1137,8030,3440,2982,3409,9240,7308,6503,2136,9039,4837,4278,2965,1607,2967,3111,2168,3563,1629,3533,1060}

Returns: 1917.284016519201
{1167,3327,5087,8217,6528,8234,2584,7888,465,8683,7877,5782,3326,8692,7904,454,220,2395,6478,8854,775,7890,8691,2411,8198,6481,8688,9271,9614,7098,7882,9835,8228,5739,7914,241,5763,740,7104,9269,7890,736,7887,7124,6533,2419,5068}

{4426,9896,3033,2708,5756,404,9075,3162,5199,406,5191,5788,3956,6078,6936,8628,2682,2927,9530,5211,5194,6937,8618,6100,9057,6808,5198,8591,8622,4388,1746,5202,4883,3033,7815,5178,4863,7812,4403,3041,2929,8599,8591,4511,4399,3501,2688}

{9658,8856,6533,6547,7891,5100,3356,6198,8835,7906,7137,6552,5101,3365,2409,9086,6505,7109,3296,8212,8005,5759,1199,8225,8855,3253,6330,8855,7684,772,9653,6199,9273,1208,5736,9087,459,7101,7683,6205,8818,9088,7667,2404,8845,7133,7879}

{5759,2924,5760,7803,3576,4891,2698,6944,4387,4434,4485,5769,3181,2706,4586,2712,1761,6080,4864,3563,8606,461,2907,2904,5202,3951,408,2916,3516,6921,8771,9060,2907,3513,3592,8607,6921,8798,5751,3498,414,4506,4591,487,3596,4547,8797}

Returns: 2440.0165983042
{5251,5269,4455,7313,7314,1109,5252,5266,4728,6941,4891,6390,6414,6205,5007,1139,60,4442,6903,5285,2800,5145,4727,2692,2779,4464,5009,7168,9437,8478,6357,6369,4990,5154,6442,4454,6932,82,7195,2810,9209,6934,4688,4443,2788,9205,4987,6224,5254}

{8211,6161,4270,4352,4349,9006,7582,8164,6267,8180,6278,4351,6805,8201,6273,4001,4262,7787,8395,7572,6792,6302,421,6140,9028,8609,1385,2929,4285,3742,1143,8179,1155,7783,1389,5811,8190,3377,3393,4011,6806,3392,7764,9888,6867,6853,2924,3389,3379}

{4877,3522,9527,6904,6937,6799,7201,5269,101,4419,6410,7639,4407,6936,6194,6434,9451,2674,6209,4899,4891,8886,8882,8522,99,2672,6799,5259,4894,9135,2769,5270,9190,3533,4435,3640,4683,3532,6457,6924,9519,5160,3534,8878,4909,6908,7207,9453,7165}

{1415,6851,7744,8170,2533,3753,4035,8214,5788,4363,2934,2916,8405,9922,6861,1525,2533,9032,3751,8407,408,6895,6880,4011,3755,6890,6870,4286,8374,3395,1392,6173,1562,7747,7586,4024,4344,4008,2568,8212,849,1156,8207,6858,834,3731,1403,1122,7740}

Returns: 3074.5942821777317
{2096,3631,2111,7785,5252,2727,9382,2107,3354,4020,6108,2167,3138,2242,3147,6681,2517,2113,2085,2261,2540,4127,7967,2720,7764,3654,3616,1086,626,2536,7432,4022,2559,6141,2223,2194,4094,6113,621,3136,2122,1045,2249,613,2538}

{4957,981,6383,4817,5079,4969,5084,1367,7509,4623,5090,9557,1211,6262,6909,9547,111,7389,5118,5442,5101,6897,124,245,8896,5093,275,960,5106,6370,9528,5481,5108,8906,5448,5112,989,9541,7403,8179,7412,68,1350,7300,9515}

{7995,1108,3362,2732,2532,7967,1056,9114,8125,598,8156,6653,2548,2099,9119,2204,5232,6658,5254,3148,1097,9906,3146,7435,2123,5531,4114,6129,6687,3365,7749,5530,1028,5247,2168,4022,6636,6128,3405,3168,7772,6682,3387,9154,2736}

{6911,6910,7319,9466,1676,1708,1362,4632,7397,5447,6245,6388,9478,7525,274,6891,6893,1348,8895,62,4822,1368,4845,7400,4648,6905,7284,6276,5091,6374,275,4968,5106,1350,1213,1208,8188,8908,5099,1322,6246,9466,105,6370,8882}

Returns: 2303.7484671725774
{4151,6660,828,8897,824,3373,118,3388,2399,7044,3282,1498,3263,2098,7356,9339,9351,8318,4447,119,9736,148,5447,2282,5412,4716,2313,7355,5353,3271,3285,5880,5907,2127,848,2420,1500,3237,9377,5887,9746,7379,2395,3250,4747,8317,5449,8195}

{610,757,7742,4126,639,737,2157,142,6438,360,1758,5966,2941,4936,8330,1277,2144,9181,3968,1549,1483,7133,1515,6005,2541,4920,368,7131,5656,4937,1746,5736,5713,7158,1741,5980,1276,2181,623,1265,379,6430,1115,9195,380,1748,142,6420}

{9727,2133,9804,5977,6687,9722,5890,3372,6623,4126,2311,5351,3275,8442,6268,5432,2288,2296,6652,9804,4446,6010,5389,7374,1526,2390,8294,7019,5998,8169,2291,5907,9714,9702,3096,2408,8910,3264,272,8282,3373,5410,3393,1489,263,4112,6598,6019}

{6343,3943,4125,1279,4135,9186,4136,9205,1486,5967,376,5600,6406,136,8362,5629,587,7740,5695,5626,1306,175,7114,6422,362,5991,5369,1550,1118,3960,163,5706,1540,764,1589,642,3994,5964,1595,1740,1136,5334,9197,5619,644,1607,1310,4145}

Returns: 1760.2511184487287
{8352,123,8566,1130,5940,2651,4284,8194,1591,5228,2942,1817,465,3642,1588,2924,125,4035,5674,7494,1052,4033,2619,6045,8556,2409,1046,4303,2400,2393,5199,422,6397,8329,5498,6814,2400,448,117,8096,2404,8341,463,6406,9874,4278}

{290,1368,1524,1660,8786,3168,8371,449,1655,1543,9897,7096,6907,3800,7519,3171,467,7565,5061,9456,6407,1399,1229,8800,743,6387,1382,1489,6414,9888,6418,294,743,3831,768,5074,6398,1398,847,1242,6418,6879,748,6420,4547,9424}

{7460,7450,2415,5716,8107,5895,6420,5223,5193,437,423,3776,7726,6050,8323,2621,8543,6828,8773,6052,2614,6822,7726,6046,4040,2938,116,9884,5897,681,7466,8201,4040,5513,6938,8774,8775,8369,1830,5892,3732,1613,2642,5476,9862,4286}

{6420,7121,4531,7081,6417,1514,8368,4130,7117,276,6426,9425,5149,3609,6883,8390,4116,9465,6396,7536,278,8529,1487,5076,3192,6885,6412,8383,1493,9841,1695,5051,6396,1649,759,8406,3810,5065,9442,8378,4549,9440,6391,5117,8379,9441}

Returns: 2154.7308416598116
{447,3350,9222,2634,1203,4975,4986,4959,2115,1185,1181,4966,5233,5692,7743,2121,8325,9219,2300,2900,2307,454,9814,1201,4417,8513,8316,5225,9492,1190,3343,4709,4277,9470,5257,2736,2310,2899,9236,4951,5758,4255,2869,8519,9635,4403,9255,4982,7758,7734}

{6618,5343,2334,5348,5282,4882,5281,8571,7342,1022,2439,5570,2315,2375,8094,2968,2967,3042,1670,1645,9054,4090,8606,5371,8608,1014,3667,5593,995,2432,2331,5184,1416,2320,9062,2117,6644,5272,6603,3001,3668,625,2454,3687,1661,995,1650,1038,9069,6625}

{8876,9232,2308,2731,8861,464,3364,4960,8488,8311,2734,5768,4100,2307,9486,9816,2147,5000,5686,8875,4712,9252,9840,4094,4239,2292,3378,4267,2597,8891,8343,5691,2294,8519,4242,3390,4938,5234,7761,9449,2885,448,9821,2618,3379,4101,5769,6605,8873,9631}

{2097,1016,8084,9086,4889,9069,5615,2996,3063,5168,5372,6371,3066,2129,8780,5163,2466,4895,8570,2438,9062,6598,2331,1005,8789,5190,1380,5187,1692,3075,8066,3042,7367,1049,1690,5175,7350,3707,9101,1384,596,5300,9111,9037,8780,6355,7327,2973,6598,6335}

Returns: 1843.0610407688619
{3436,609,8823,5155,2823,9609,5701,597,4204,8971,5089,2040,2834,5121,2809,376,1562,2057,6510,8821,1553,606,1566,587,2029,5732,5113,3121,2815,1092,7911,4209,4775,1544,7790,7792,5733,8842,5119,577,4197,5157,5704,6514,624,5758,5695,7451,608}

{4929,9291,4238,9349,9386,9030,4747,6909,5467,222,6750,2111,9285,195,6755,6740,2528,6917,3152,9698,7348,2529,5469,490,4940,8694,9708,7758,4965,9256,7741,7365,4230,4938,6722,4899,2130,9682,2521,4977,6740,7746,7346,7752,5438,9686,9275,7545,7720}

{5697,4799,5110,6624,5093,2830,618,8830,1100,1976,620,7920,1948,2016,4786,2035,6478,9651,411,1508,1983,411,2024,5088,1076,7583,2009,1094,1561,8819,7577,8821,7772,1102,2059,3461,587,579,3426,1076,1028,4763,612,1022,6627,8805,5167,6492,2811}

{7518,9274,7723,6875,6710,4914,4717,8993,7723,3243,6792,6795,8698,7507,185,9364,9691,4219,9031,7721,517,7512,6905,4963,7511,9363,227,7506,2545,9708,204,7740,3202,5451,4205,7371,487,9272,3156,2850,2095,518,9061,7543,7737,9371,9365,6730,4940}

Returns: 1724.3192859792528
{5240,3934,4877,3878,9576,4363,5916,6333,8875,5171,9580,9595,4482,2942,4479,3122,7705,2968,4869,388,3096,1930,8885,5175,4007,4018,4547,4560,780,8705,2267,6759,3134,2958,639,4377,8902,9575,4489,9610,5197}

{2997,3150,5714,503,7319,2206,8524,6614,1502,6600,9104,4176,9885,6597,6615,984,7269,3391,6562,3161,2328,1788,3061,7276,6951,971,8506,6576,2214,4313,2224,957,4326,3399,2463,1513,4319,1214,2477,8569,8532}

{4028,3609,4386,4562,9094,817,2285,3590,223,2955,3122,3933,4374,3944,9096,1950,651,5902,4379,6332,2967,6336,801,639,6319,808,3914,2953,9601,4405,3619,4550,4475,4000,4363,8702,5199,230,3122,4875,635}

{471,9077,4347,7271,6710,1028,8514,9182,9877,3170,6640,8519,8538,6576,2956,1041,6944,1239,1800,3622,6607,4341,1227,1040,9909,6956,9094,9750,9060,1506,1763,9878,2479,7275,2207,6600,6725,8544,1515,6972,7331}

Returns: 4259.007513494194
{512,4628,5507,4662,9588,4613,6828,3273,3161,490,6831,9627,6808,6037,1015,3848,9541,420,8177,5663,6673,2994,7224,6733,5689,1499,9693,430,3358,3383,3008,9528,4521,7212,5648,5680,6058,8524,4489,422,3890}

{6995,9394,5272,9770,865,5743,6495,9752,2565,4176,2563,1507,1604,5707,4285,5398,1521,3177,1610,1631,4265,9400,4150,9406,2962,3494,5928,7729,1527,8656,1615,9356,4144,1583,3513,6513,333,5939,2538,8656,4252}

{3379,1465,4521,1033,7831,4516,9690,8543,1014,5527,3369,940,9282,2983,6806,3134,3020,4636,9540,6854,5683,3133,6854,6747,8168,3833,999,4520,7861,3140,2996,917,9555,6030,4494,947,1473,4637,1498,3366,4638}

{2961,9374,4272,9376,8548,2971,9676,9736,3203,7719,3209,6668,9383,6636,6491,3176,4165,4259,8541,1607,4165,1598,5397,9353,4164,5918,2991,5297,4087,1519,2990,2565,5942,5288,8673,352,3903,3898,338,9404,8540}

Returns: 2417.20706601648
{238,7003,7279,8868,2158,8780,3395,8924,7203,9165,7724,5217,1544,6279,953,2355,6505,7519,1398,9119,1495,3011,5399,4260,2467,1169,2971,747,7259,1690,9026,5879,6817,1642,3470,3815,6326,4040,2670,501,2765,807,2127}

{4172,6790,7966,5033,2231,5838,4187,982,1920,9504,5093,750,2412,1227,1675,4151,5305,6293,6077,9631,3083,6868,3094,8191,7211,2275,7856,1266,7008,7239,3239,4866,402,1130,8289,4738,2569,2140,6656,8007,294,7141,1161}

{1401,238,7255,8866,2357,8777,956,8929,9118,7523,1169,1499,2668,6503,2464,4041,7728,6814,1687,7203,4263,3012,5399,5218,1647,2768,1547,749,5879,3391,9023,500,6275,2161,2974,3812,6326,3475,7002,7281,9163,812,2130}

{6078,4175,7009,5031,4147,5835,1674,986,9630,6293,2276,3086,6658,5306,7209,2138,5094,398,7240,1916,8196,6869,3095,752,1131,292,2413,1264,4865,4190,3238,8010,1224,2232,7858,4741,2573,8287,6795,7966,9505,7145,1158}

Returns: 133.46160496562297
{1954,9634,753,2474,9724,3569,3754,1653,2572,5071,9466,9432,2955,6423,1915,1129,9551,9357,6056,950,4671,7359,6366,2890,9146,6085,9459,1874,7099,3957,5078,8907,1186,5996,8069,5736,5880,7809,9948,4900,6685,7949,7811}

{6915,7358,3472,2920,9520,8288,123,6328,3800,2053,9800,6004,5300,2146,4527,7345,4312,3544,9338,2559,1895,4826,4696,8713,3574,1284,3979,4858,153,3835,53,2494,7145,2393,2199,943,9099,2768,1003,7467,4079,1292,8210}

{8911,9635,4672,2476,9550,9470,1952,1878,2959,6055,3573,6683,3759,5994,7953,8069,951,1187,7355,9456,3954,6367,5878,5075,2570,758,6419,2892,9947,9355,6089,9721,1651,1129,7811,5732,5068,9434,7813,4899,7100,1912,9146}

{2491,7354,1897,2921,4314,9804,6913,4855,5300,9335,8292,4077,127,2390,1291,2204,2555,7143,4825,3976,3833,4699,9103,50,3799,3476,2146,8718,1003,3542,1286,9516,6329,7350,8209,947,2058,6006,2765,7463,155,4528,3578}

Returns: 210.16184239771025
{1742,7221,6659,212,180,4732,9828,394,2705,5311,4165,9724,8117,3554,4449,3241,4325,3989,7066,115,7193,4901,849,5688,2313,9922,6948,1284,2915,8971,5740,3767,3983,1281,7334,1536,1221,7024,9814,1805,8401,6631}

{3387,1496,9609,5215,7854,199,5832,9868,2429,3363,4044,3056,8893,6294,7881,5349,9098,7843,7240,4236,6072,2336,7956,6584,2641,3774,1928,3010,8395,5768,9537,6330,146,1050,1943,2001,1151,8581,8365,7363,1279,9317}

{7339,9927,1278,3988,116,4730,6953,178,1740,391,8118,3242,8970,7226,5692,3767,4330,1540,7070,1808,3554,3991,850,7196,4170,5742,4452,211,8398,6655,9726,6635,2309,7026,5308,9825,1224,2709,1289,4906,2913,9817}

{1947,3773,1054,145,4233,195,1925,7859,3389,9864,8895,5346,5769,1498,6584,6334,9101,1998,7244,7361,6295,7843,7960,6070,4041,9534,7885,5219,1278,9607,3061,9319,2641,8581,3365,5829,1153,2433,3009,2336,8399,8369}

Returns: 112.50777750893491
{2688,9003,8548,9801,1516,1206,7313,9653,1505,3408,2106,3152,2922,2306,6984,2353,6334,7149,9905,2883,6751,4543,8012,7300,8018,3351,1284,2742,8584,2637,5861,4271,1393,5234,2303,601,3406,3934,3845,7693,4031,8425,6443,2516,1425,5334,730,6842,1088,3637}

{2691,1060,7896,6918,9143,3314,518,7752,245,3694,4854,7650,8613,2328,1027,2551,6811,6598,5950,5018,5903,7509,9820,8073,5260,8727,1042,8987,1255,4692,1331,578,7550,4670,5527,8314,2554,4094,357,6492,9219,5023,1235,4701,9866,1912,9044,4147,5197,9766}

{5238,7148,8551,9906,1514,3938,8999,2308,9653,733,7309,3155,2921,2304,6982,1202,1084,8019,1507,2880,8010,9803,2517,2357,1430,3404,1284,1396,2634,3842,7697,4275,6751,3637,4033,597,2693,3404,6844,6330,5334,8422,6440,3356,5860,7297,2110,2740,4546,8585}

{4667,6594,7897,5949,9140,4092,1064,5527,7749,9048,521,7651,8616,2326,1027,3319,5196,5261,248,5022,9819,6917,4705,2551,9871,2557,1047,7551,4693,354,6493,578,5906,9770,9216,8316,2687,3690,4145,6809,1912,5022,1238,8730,1335,8072,4854,8986,7513,1259}

Returns: 118.27087553578015
{6541,4101,3345,3297,2955,4733,3909,8418,4456,8541,8107,8120,7146,1518,226,7399,288,8677,5734,7054,1567,1073,250,3711,3695,669,3531,3763,4083,5918,6726,2083,4721,6980,7362,7532,531,5526,3294,1755,6683,6045,7214,7346,9496,7497,7207}

{6073,7661,1677,9927,5061,3241,6472,2291,4241,385,9941,137,3022,2463,9904,4520,4933,4253,1751,1097,8805,9232,6423,3189,2697,501,6777,3956,5153,9574,6492,2915,2847,3959,2400,7240,2466,166,220,9726,1338,9203,8152,7182,594,8303,4643}

{4101,6727,7534,249,7143,8673,6680,2958,289,3529,1567,4455,3293,3762,8107,7496,3906,7212,5731,7212,3294,4732,7051,3708,3695,225,8125,1523,1760,8539,7348,668,6984,4721,9501,3344,7361,5527,6538,7397,8421,6048,2082,1070,531,4085,5919}

{7658,6497,7241,6426,3020,4249,1336,5057,4935,6775,8807,4243,9925,3960,9944,8299,6472,4639,1754,8155,221,3239,1099,3192,2694,9901,141,2459,9730,385,7182,502,3959,2852,599,1676,2405,164,6072,4524,2296,9200,2918,9237,2465,5155,9578}

Returns: 192.92485583770693
{126,7696,3437,9342,8616,9048,6507,6945,5171,8112,7612,1758,6817,5721,3486,115,698,9376,2712,7885,4492,7906,2446,6116,6934,688,2439,5058,9405,5955,1338,3356,5881,4910,1903,8388,8326,8587,4761,8862,9285,1185,2505,1216,3615,1267,8181,5492}

{7532,4827,6455,470,5574,8268,7427,2200,107,6163,3366,1944,8065,7983,1942,7296,1164,8341,8702,2009,8050,762,8951,9130,8329,5184,9629,8075,6815,8055,6006,1794,5546,3485,7842,7868,9444,9577,4676,7331,5932,5809,9829,6232,9830,7188,8352,1167}

{5167,4908,116,9339,1334,6822,3490,6945,5494,3353,7613,2714,8860,1903,8323,5054,689,9377,126,7887,1181,8621,2501,696,8392,3436,1760,7692,1270,4759,5957,9044,3613,6112,9281,2447,2435,8588,6939,7907,8113,4495,6509,1212,9406,5877,5722,8183}

{110,3482,7298,467,6010,8065,1938,2201,1168,1795,3370,8698,7332,7841,9444,8073,5181,8341,7528,2007,5813,5577,9826,1166,7872,6458,1943,4824,7188,4673,8056,8266,9830,9134,5931,8953,9633,9573,8334,761,6161,8053,7425,6228,6817,5549,7984,8349}

Returns: 196.70282153543198
{7608,3803,8179,4394,7246,8226,6227,2319,9016,3486,4313,6414,347,3553,7367,3436,8149,7616,340,2204,8265,9623,1077,989,8142,9326,5018,9506,7895,2912,3403,5791,2864,3060,1671,7775,5113,2149,6857,6177,4385,2723}

{127,7445,175,6787,5358,2300,6501,7558,8419,834,556,4694,4941,751,8062,3972,1326,3254,895,1245,9688,6969,6316,5229,9615,3449,3898,1863,9234,8324,1289,4452,3878,6223,9144,9566,9369,6921,4371,7861,2884,6671}

{2723,2319,986,3806,9624,3408,1079,350,9018,3482,7891,3437,7371,3549,341,4385,7619,9324,8175,7609,8261,7242,6227,5787,8226,3061,1670,2207,6413,2917,8139,9507,7772,5015,6177,6862,4395,4313,5115,8151,2153,2861}

{6667,7560,5229,7447,6965,1286,6318,4941,8422,833,9239,3973,8067,748,896,2883,3258,3453,178,130,9685,5363,6499,4448,2298,6224,9143,1248,4692,8329,9614,1865,9568,3902,7862,4369,6785,556,9371,1330,6917,3874}

Returns: 106.60675400742676
{2252,6478,7856,2078,996,5653,9524,4110,5762,6869,9294,4966,5800,331,6969,8539,4254,8578,7087,7363,2333,2077,1346,6425,7538,2013,8206,277,9037,7075,5103,6827,4418,7262,7027,6258,6034,3696,3142,2291,7214,5383}

{677,1620,4456,645,6301,2794,7628,1149,9674,8462,3223,3709,6386,8868,7291,3816,6231,7303,9183,2543,9501,1671,3994,8378,2866,1892,7973,1446,1186,6150,5223,2156,5640,62,4299,2686,8492,5734,9472,7301,8924,2207}

{2079,9041,6474,7852,4418,329,4963,2077,5801,5382,3145,7079,7543,5656,6826,4109,4252,8574,9295,5105,2329,2257,6965,7362,280,3700,8204,993,9520,2014,8535,7083,2294,7263,7026,5762,6257,6035,7216,6424,6870,1343}

{1672,1184,1621,4455,5641,8868,3714,644,6383,2211,9468,6148,2865,2798,2156,1150,6234,7308,3227,5225,9497,681,7291,2543,1449,5739,7977,6304,7630,1890,3813,9186,7305,65,4298,9676,2689,8490,8923,8380,8464,3996}

Returns: 178.08424972467387
{787,1235,9490,3470,4167,3551,2527,7543,4056,2663,8903,4980,8634,1141,6047,9037,696,5545,6611,402,4236,4690,2606,673,1201,9554,9563,4697,749,7308,9359,1693,1445,1209,8616,752,5174,3675,6350,8428,6375,818,3642}

{6782,8123,145,3661,5145,8272,4716,6861,9049,2483,8615,487,8861,5491,495,5389,1982,7619,4814,7077,4780,5229,6887,4845,7264,6952,6961,496,1110,8319,8441,9625,6210,9084,5258,2692,3567,1496,6188,2387,1687,8773,7656}

{9033,4232,1239,1206,3673,697,5544,4163,1444,2602,6611,8630,8899,1198,751,9359,3550,2529,9487,405,4695,9567,3473,1144,750,6044,671,820,4695,7306,7546,9556,4056,6351,1692,8617,785,5177,4977,2664,6376,8424,3640}

{5391,4778,8128,9083,1494,1980,7618,5145,6212,6887,4816,8858,8616,7264,2689,8439,8270,4712,143,7079,5234,6966,3659,5488,1115,497,4841,8778,496,8320,6862,6948,9048,6185,9626,5260,6786,3571,488,2481,1686,2392,7652}

Returns: 14.7648230602334
{493,4868,9536,9344,6463,6521,5018,2356,1591,5561,367,507,578,8281,4844,1834,585,6417,7375,9729,8450,757,3258,7583,5329,6515,1314,8035,9672,3971,5342,2956,5931,8327,5788,9141,3853,9413,251,1217,708,9647,4487,972,7356,4939,8157,755,4544,3289}

{8971,8829,4382,4796,398,9745,275,68,142,1988,1838,9892,6081,2421,2477,3101,3644,9748,6308,7080,6502,1589,7432,7537,505,9473,4137,1253,5336,6631,6285,7216,5450,9309,6551,2478,9334,2722,7421,8923,3502,8193,353,5199,5792,6574,3887,3882,9157,9740}

{9646,1833,9536,6464,9733,8156,7361,5019,9340,3972,8448,5340,4868,8280,580,506,498,1213,2352,4840,8040,9675,1592,585,5329,6520,1319,5787,3261,7374,3289,5565,5930,8326,7586,970,2960,9413,9138,6413,757,4485,371,256,4543,4943,3858,762,707,6525}

{8193,3102,4382,396,7080,3886,5797,275,4801,6635,6505,6282,8832,2418,6079,9892,8974,8928,68,2476,1258,5341,141,3648,508,9472,4138,6554,7431,6309,9743,1991,5447,9311,7536,5197,7214,2726,2477,9746,3878,358,1835,7421,9160,6571,9337,1587,3503,9744}

Returns: 108.00462953040486
{1233,6382,7810,2899,9456,7686,1356,7686,6159,7495,6230,3366,7411,7030,9229,3454,1449,4310,2908,4481,1628,8895,9791,5017,6208,581,5471,6796,5643,5479,6269,9250,2290,92,5419,1388,9942,9907,8609,6880,3045,9132,6308,3099,5784,2964,9936,2676,8710,2974}

{6887,6638,7689,5417,6506,3906,6882,3405,3675,7001,5991,8585,2039,2292,1619,9149,2713,9923,2841,5063,3524,6045,844,3371,8625,3375,5503,9626,6303,8390,3977,7292,3947,1720,5823,8554,3751,1635,4947,4993,3179,5688,8030,5515,7697,4081,4317,4870,6167,3389}

{1234,9789,8896,1385,9455,7683,1454,6160,7682,2966,6383,7033,8710,5418,5483,9134,6273,1360,3047,6884,7407,9226,3459,9940,2909,585,5641,3102,5472,9248,6204,4312,2286,3363,5019,2900,2679,9909,2972,9940,1630,7808,6801,4486,5787,88,6304,6230,7497,8612}

{6891,841,6041,8556,6503,3909,2714,3677,3403,4085,6638,2291,6164,5828,8388,5693,3975,6883,3180,4991,2043,1620,9150,4314,2842,3377,6308,5513,5504,7294,8625,9925,3952,8583,3367,5421,4871,1635,3394,3754,3526,7694,9623,5062,7699,1720,8031,5996,7004,4951}

Returns: 122.3315167894194
{8179,8204,9398,5024,6838,3871,6111,125,1597,2091,7095,5503,7910,6918,6904,8336,997,2631,8899,7781,7240,805,8763,653,8175,8573,9780,5019,4445,1168,7559,3089,5357,4149,3203,4104,9235,7045,7352,4632,2586,6865,9926,2406,8610,7163,1788,4499,219,8758}

{3158,2510,1571,275,7732,6688,8501,6116,532,5781,6406,3638,4041,3425,2154,3470,6986,577,8289,654,9258,1986,1100,4204,4485,8931,5946,3989,5333,2457,5261,4163,1271,2992,822,7305,8346,7600,9840,4226,6624,4623,4687,7081,9021,633,6521,7468,2717,6962}

{8763,5353,126,5029,1173,806,6917,2402,1790,2636,7093,7164,6861,1594,4630,8332,8207,9234,4102,7046,216,8762,5022,2094,8903,8174,6835,655,4496,2588,7559,994,7245,8570,3091,6908,4441,7784,9777,7354,4153,7906,6116,8610,3206,9925,3875,8176,9403,5499}

{6965,1275,6121,276,2459,1990,3423,7082,6518,577,6402,629,4627,534,4226,3468,2514,8349,7305,7602,2722,1100,3985,5778,8289,4488,7737,4204,7464,6622,5259,6991,9254,8932,4159,2153,5330,655,5948,9836,2990,4039,8499,9020,822,4690,6688,3163,1575,3641}

Returns: 96.38464608017192
{5040,6415,9403,6661,627,8089,6558,3390,6819,6353,172,3303,7779,4338,2332,6071,3297,9060,3599,1808,2926,9313,9381,6585,8905,3585,6430,6678,7247,1458,3797,8518,8660,3643,8000,7636,5189,7865,2511,9261,8017,1188,4153,7896,7570,865,4155,4082,6494,321}

{8691,4351,7772,747,9468,1839,85,9725,3084,2990,884,8908,4255,4592,1697,178,3593,4088,6144,771,2411,610,3868,6586,9605,6387,1472,469,5435,2223,2660,4754,8240,899,605,1572,6343,8606,8393,2367,5023,3735,7400,6001,5283,5289,2826,3113,918,8675}

{3307,7636,3299,3588,9260,8085,6555,7777,2931,8516,8658,632,867,9407,9313,6072,3800,8906,6353,8021,8005,4158,7567,320,6497,9058,2513,6675,6431,1460,6817,6660,1184,7244,5045,2337,1806,4078,5188,3645,3601,4339,9380,7894,6587,6420,7865,3388,169,4149}

{8910,1572,3596,6384,2363,1836,81,4254,2416,4756,8241,9464,5285,7774,610,181,2662,9601,2993,5022,607,2828,5283,8680,923,4087,8391,472,1470,2220,3087,748,3733,5440,8695,1700,773,3117,6339,895,6146,4597,3864,6000,6582,4348,8608,9727,888,7396}

Returns: 237.60471375795558
{1121,5403,1081,4697,871,5291,5762,5610,790,3095,3215,2015,9203,4174,9631,1749,6452,8737,3818,600,9753,3508,6278,9789,4637,3799,4691,3856,2762,7898,1692,3570,3193,5345,7827,5994,3092,4963,3109,1075,8183,1451,1942,9653,5759,9761,2239,1086,4064,1919}

{1926,9236,1332,4108,5212,1981,8680,2689,7394,1154,7224,3628,7520,9449,5343,2019,5333,3762,8279,151,742,7496,9085,5679,6921,8919,4120,7136,7928,6097,9795,5570,2126,5951,290,5353,7828,5470,5319,8276,9102,5394,5492,8050,317,269,7916,4569,3417,112}

{1905,6279,3113,886,9793,8193,7895,1741,3099,5294,3216,4073,2764,610,6447,3509,3196,9647,804,4177,9618,1097,2231,4685,4646,3575,4682,1112,4957,5770,9190,7833,5773,2003,1690,3854,5337,3094,9741,3803,1090,1454,3806,5992,8742,1945,5399,9754,5622,1076}

{110,9076,5319,5202,5694,9107,6090,2008,7836,1985,7215,3418,7937,147,5320,7484,2135,8053,7389,9437,5354,4577,7916,4115,6911,5583,4120,1930,5484,317,7527,296,8667,3639,9792,7143,5938,1153,744,8908,8286,5383,8292,5341,3760,5494,9250,268,2682,1337}

Returns: 18.027756377319946
{3254,5040,2237,7662,383,8530,5421,4128,2055,7751,3844,3723,1876,6183,1748,1961,7504,4694,2118,7834,5733,664,6702,7743,6081,1618,9390,6377,5590,3128,164,1474,7144,2027,9205,9313,8275,9548,5403,2820,8600,1773,627,2887,7311,4677,744,1639,4224,8578}

{1411,4340,2694,9043,4726,324,3348,5317,86,7564,9456,3549,9083,3692,6413,4161,3544,8703,3556,1480,714,6067,4408,2502,8227,8604,5318,4255,5929,3861,7858,7325,5596,1323,3072,6928,4324,351,6993,4434,6303,7132,1578,5498,3008,3671,4023,3131,2355,2078}

{4218,1477,4692,1629,398,1762,6372,6707,1787,3837,2058,5393,3129,2040,7828,1948,7513,663,8276,3723,9404,8542,1885,9206,9307,7130,1625,5413,5047,7752,167,9537,7315,2251,2130,738,5581,5730,8605,6079,6193,3266,639,2874,4137,4679,2809,7668,7730,8582}

{2353,7332,8706,3140,4736,6410,4268,4413,7137,9463,81,6985,3855,1310,1488,4175,3537,6066,4314,3543,5316,322,9085,3058,6942,5607,8616,3361,4338,7579,7845,363,3020,2704,3570,4013,5944,722,6308,8229,3686,1412,1578,5500,5313,3672,4420,9049,2491,2092}

Returns: 357.23381698825773
{743,8836,4258,903,9051,8878,6721,831,4483,3458,4292,3013,1974,2079,3157,1257,6785,8256,8489,9433,8413,2028,8730,6138,5652,8119,9221,2090,3276,246,2430,6732,2513,8425,2154,9654,9934,6505,4176,5800,2773,1221,5719,6789,8971,3972,630,2971,7270,4626}

{9131,9324,8979,4814,3516,4949,3697,3958,2362,4670,3431,2389,1599,8093,3773,5177,6413,6816,3868,6930,8012,2610,5727,3740,5852,6835,9295,7492,3737,2097,7157,246,9692,8043,5088,6457,2661,9540,7980,7879,9807,2996,2286,2695,4981,3221,8202,7960,4817,4210}

{4293,3004,4626,1209,4247,1966,9923,2164,8243,3473,5639,7285,6708,2067,6496,1258,2024,8846,8886,840,6143,6788,8723,8114,9233,8417,4174,2079,2418,5714,9421,9039,2975,8411,733,631,6792,8957,3274,5789,2778,889,6738,3162,9648,3973,254,4477,8495,2505}

{3433,2395,4201,2985,8968,1605,2650,5074,6810,4683,5845,4811,3697,8091,9531,5184,2617,9325,4942,3959,3739,2687,5726,6842,9286,8009,7970,7484,7172,2277,6923,3530,7951,8037,9117,8216,6421,4974,3751,7888,9804,4804,244,3772,6457,3215,2089,2363,3882,9694}

Returns: 25.079872407968907
{0,0,0}

{0,1,2}

{0,0,0}

{1,2,2}

Returns: 0.0
{0,0}

{0,10000}

{8888,10000}

{0,10000}

Returns: 10000.0
{0,200,400,600,800,1000,1200,1400,1600,1800,2000,2200,2400,2600,2800,3000,3200,3400,3600,3800,4000,4200,4400,4600,4800,5000,5200,5400,5600,5800,6000,6200,6400,6600,6800,7000,7200,7400,7600,7800,8000,8200,8400,8600,8800,9000,9200,9400,9600,9800}

{2,0,9,4,3,0,7,3,4,5,4,4,2,1,8,5,5,6,9,8,6,1,6,9,2,9,6,9,1,9,8,1,3,8,1,0,8,2,3,7,0,7,1,0,3,2,5,5,7,1}

{7400,1200,2600,600,400,6600,6200,3200,1000,1800,9800,2800,2400,8600,1600,5800,5000,3800,8000,3400,4000,7000,3600,4600,4800,8400,6400,7200,3000,6800,9000,0,2000,8800,200,4400,8200,2200,7600,4200,9600,5200,6000,1400,5600,7800,9200,9400,800,5400}

{9991,9998,9995,9992,9991,9998,9993,9993,9993,9994,9996,9997,9997,9991,9994,10000,9992,9993,9994,9997,9998,9995,9992,9991,9995,9997,9992,9997,10000,9992,10000,9991,9996,9995,9998,9991,9997,9997,9993,9991,9991,9994,9998,9999,9995,9991,9998,9992,9997,9994}

Returns: 9997.00080024004
{0,200,400,600,800,1000,1200,1400,1600,1800,2000,2200,2400,2600,2800,3000,3200,3400,3600,3800,4000,4200,4400,4600,4800,5000,5200,5400,5600,5800,6000,6200,6400,6600,6800,7000,7200,7400,7600,7800,8000,8200,8400,8600,8800,9000,9200,9400,9600,9800}

{3,8,1,7,7,0,5,9,0,6,6,6,8,8,9,7,3,5,6,2,4,8,1,4,7,8,2,2,1,2,7,1,1,8,0,9,2,8,0,9,4,8,9,9,7,6,4,5,4,5}

{0,200,400,600,800,1000,1200,1400,1600,1800,2000,2200,2400,2600,2800,3000,3200,3400,3600,3800,4000,4200,4400,4600,4800,5000,5200,5400,5600,5800,6000,6200,6400,6600,6800,7000,7200,7400,7600,7800,8000,8200,8400,8600,8800,9000,9200,9400,9600,9800}

{9993,9992,9994,9996,9991,9998,9994,9993,9998,9995,10000,9994,9998,9999,9999,9997,9993,10000,10000,10000,9992,9991,9993,10000,9992,9992,9994,9999,9994,10000,9992,9998,9999,9995,9996,9999,9992,10000,9994,9992,9999,9997,9995,9999,9991,9993,9998,9993,9991,9992}

Returns: 9997.0
{0,200,400,600,800,1000,1200,1400,1600,1800,2000,2200,2400,2600,2800,3000,3200,3400,3600,3800,4000,4200,4400,4600,4800,5000,5200,5400,5600,5800,6000,6200,6400,6600,6800,7000,7200,7400,7600,7800,8000,8200,8400,8600,8800,9000,9200,9400,9600,9800}

{1,6,5,9,2,1,5,1,5,6,0,8,5,8,4,0,2,3,2,4,9,0,4,8,3,8,9,5,0,5,0,7,4,1,1,2,0,3,2,5,7,6,1,5,1,1,4,0,8,4}

{0,200,400,600,800,1000,1200,1400,1600,1800,2000,2200,2400,2600,2800,3000,3200,3400,3600,3800,4000,4200,4400,4600,4800,5000,5200,5400,5600,5800,6000,6200,6400,6600,6800,7000,7200,7400,7600,7800,8000,8200,8400,8600,8800,9000,9200,9400,9600,9800}

{9896,9895,9894,9891,9892,9893,9891,9897,9896,9897,9900,9894,9899,9898,9900,9891,9895,9895,9897,9891,9900,9897,9899,9897,9897,9891,9899,9895,9899,9897,9896,9898,9894,9897,9894,9896,9899,9891,9895,9896,9892,9891,9895,9900,9894,9897,9897,9891,9899,9891}

Returns: 9898.02081226343
{0,500,1000,1500,2000,2500,3000,3500,4000,4500,5000,5500,6000,6500,7000,7500,8000,8500,9000,9500}

{6,0,2,6,2,1,4,0,1,4,6,9,2,0,3,9,8,3,8,4}

{0,500,1000,1500,2000,2500,3000,3500,4000,4500,5000,5500,6000,6500,7000,7500,8000,8500,9000,9500}

{9900,9900,9900,9900,9900,9900,9900,9900,9900,9900,9900,9900,9900,9900,9900,9900,9900,9900,9900,9900}

Returns: 9900.0
{0, 0, 0 }

{1, 2, 3 }

{0, 0, 0 }

{0, 2, 4 }

Returns: 1.0
{8467, 9169, 9358, 5705, 6827, 2995, 5436, 3902, 2382, 9718, 1726, 1869, 6299, 8703, 333, 5141, 6868, 2662, 2859, 7529, 3035, 288, 8942, 7446, 6729, 5006, 3548, 4084, 1840, 3931, 2439, 5537, 2082, 4833, 9658, 3977, 2386, 6924, 5829, 5097, 3290, 2355, 5574, 7350, 1724, 1107, 1337, 7753, 8909, 4221 }

{6334, 5724, 6962, 8145, 9961, 1942, 2391, 153, 7421, 9895, 4771, 9912, 7035, 3811, 7673, 7711, 5547, 2757, 8723, 778, 2190, 106, 9264, 3805, 4370, 1101, 9629, 9954, 4966, 6308, 4626, 1538, 2929, 1115, 2704, 2306, 5021, 9072, 6777, 6512, 9161, 4767, 4031, 1150, 3966, 191, 5457, 383, 2209, 8588 }

{8909, 3290, 333, 9358, 2382, 5574, 1337, 5436, 4221, 8467, 5006, 2859, 3548, 5097, 2082, 6729, 7446, 6924, 2439, 9658, 8703, 1724, 1840, 4084, 3902, 3035, 1107, 5537, 7529, 2995, 2355, 288, 2662, 1726, 6827, 9718, 8942, 4833, 3977, 9169, 7350, 5829, 6299, 2386, 6868, 3931, 1869, 7753, 5705, 5141 }

{2209, 9161, 7673, 6962, 7421, 4031, 5457, 2391, 8588, 6334, 1101, 8723, 9629, 6512, 2929, 4370, 3805, 9072, 4626, 2704, 3811, 3966, 4966, 9954, 153, 2190, 191, 1538, 778, 1942, 4767, 106, 2757, 4771, 9961, 9895, 9264, 1115, 2306, 5724, 1150, 6777, 7035, 5021, 5547, 6308, 9912, 383, 8145, 7711 }

Returns: 164.12495239907915
{1, 222 }

{1, 222 }

{2, 223 }

{3, 221 }

Returns: 2.23606797749979
{0, 0, 10000, 10000 }

{0, 10000, 0, 10000 }

{0, 0, 10000, 10000 }

{10000, 0, 10000, 0 }

Returns: 10000.0
{1 }

{1 }

{2 }

{2 }

Returns: 1.4142135623730951
{1, 222, 3333 }

{1, 222, 3333 }

{2, 3334, 223 }

{3, 3335, 221 }

Returns: 310.42068230064825
{0, 0 }

{1, 100 }

{0, 0 }

{2, 99 }

Returns: 1.0
{100, 200, 300 }

{0, 0, 0 }

{100, 200, 300 }

{10, 10, 10 }

Returns: 10.0
{0, 10 }

{0, 10 }

{9, 1 }

{9, 1 }

Returns: 12.727922061357855
{0, 0, 0 }

{0, 1, 2 }

{0, 0, 0 }

{0, 2, 1 }

Returns: 1.0
{1, 1 }

{1, 9999 }

{4, 4 }

{1, 9999 }

Returns: 3.0
{0, 1, 2, 3 }

{0, 0, 0, 0 }

{1, 2, 3, 1 }

{1, 1, 1, 1 }

Returns: 1.0
{0, 0, 100 }

{0, 100, 0 }

{0, 0, 0 }

{100, 0, 0 }

Returns: 0.0
{0, 0, 0 }

{1, 2, 3 }

{0, 0, 0 }

{4, 2, 0 }

Returns: 1.0
{1, 3 }

{0, 0 }

{4, 0 }

{0, 0 }

Returns: 3.0
{0, 100 }

{0, 0 }

{1, 101 }

{0, 0 }

Returns: 1.0
{1, 10, 5000, 5001 }

{0, 0, 0, 0 }

{10, 1, 5001, 5000 }

{0, 0, 0, 0 }

Returns: 1.0
{0, 100, 0, 0 }

{0, 0, 1000, 1000 }

{100, 0, 0, 0 }

{0, 0, 1000, 1000 }

Returns: 0.0

Statistics

Problem Statement for "TheChroniclesOfAmber"

Problem Statement

Definition

Notes

Constraints

Examples