Problem Statement
Alice and Bob are in a game show. They have just advanced to the prize round. This round involves a large wheel called the "Wheel of Fortune". The wheel is divided into N sectors, numbered 0 through N-1 clockwise. All sectors have the same size. During the round Alice and Bob don't see the wheel - it is only visible to the host and the audience.
At the beginning of the round, the score of each sector is zero. The host then spins the wheel one or more times. After each spin he increases the score of some randomly chosen sectors.
More precisely, this process can be divided into a sequence of rounds. For each i, round i (0-based index) looks as follows: First, the host spins the wheel to select a sector of the wheel uniformly at random. Then, the host increases the score of s[i] sectors by 1 each, starting at the selected sector and proceeding clockwise. In other words, the host selects a segment of s[i] consecutive sectors uniformly at random, and he increases the score of each sector that belongs into the selected segment. The random choices made in different rounds are mutually independent.
After the last round, Alice and Bob (still without seeing the wheel) get to claim their prize. This works as follows:
- Alice chooses a sector of the wheel. (I.e., she announces a number between 0 and N-1, inclusive.)
- The host announces the score of this sector.
- Bob chooses a different sector of the wheel.
- The host announces the score of that sector.
You are given the
Definition
- Class:
- WheelofFortune
- Method:
- maxExpectedValue
- Parameters:
- int, int[]
- Returns:
- double
- Method signature:
- double maxExpectedValue(int N, int[] s)
- (be sure your method is public)
Notes
- Your return value must have an absolute or relative error smaller than 1e-6
Constraints
- N will be between 2 and 300, inclusive.
- s will contain between 1 and 300 elements, inclusive.
- Each element of s will be between 1 and N, inclusive.
Examples
4
{2}
Returns: 1.25
This wheel is divided into 4 sectors. The host will increment two adjacent sectors. One optimal strategy looks as follows: Alice chooses sector 2. With probability 50%, Alice's score is 0. If this is the case, Bob chooses sector 0 because he can be sure that its score is 1. With probability 50%, Alice's score is 1. If this is the case, the other sector with score 1 is either sector 1 or sector 3. Bob chooses one of them and scores 1 with probability 50%. Their expected score with this strategy is 0.5 * 1 + 0.5 * (0.5*1 + 0.5*2) = 1.25, and no other strategy is better.
6
{1,1,1,1,1,1}
Returns: 2.0000000000000004
20
{1,20,1,20,1}
Returns: 4.299999999999999
10
{3,1,4,1,5,9,2,6,5,3,5,8,9,7,9,3,2,3,8,4,6,2,6,4,3,3,8,3,2,7,9,5}
Returns: 31.973469385798197
15
{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}
Returns: 16.691531334568044
50
{32, 20, 40, 10, 47, 12, 7, 37, 18, 12, 38, 43, 10, 21, 19, 17, 21, 21, 34, 43, 10, 50, 21, 46, 47, 25, 19, 34, 8, 7, 3, 6, 48, 20, 14, 31, 49, 8, 16, 37, 49, 38, 10, 8, 4, 50, 7, 40, 11, 32}
Returns: 51.467878403186226
50
{1, 3, 5, 6, 7, 12, 18, 28, 36, 36}
Returns: 6.676287175263058
100
{5, 6, 6, 7, 9, 12, 12, 12, 14, 16, 16, 19, 20, 20, 22, 23, 24, 25, 25, 27, 28, 29, 30, 30, 32, 33, 33, 37, 37, 37, 39, 39, 39, 40, 43, 44, 44, 44, 44, 45, 45, 46, 50, 51, 51, 51, 52, 52, 53, 55, 57, 57, 57, 57, 58, 60, 60, 61, 63, 64, 66, 67, 68, 68, 70, 72, 73, 73, 74, 76, 78, 78, 79, 80, 81, 83, 83, 83, 84, 85, 85, 85, 86, 86, 86, 86, 87, 88, 88, 88, 89, 89, 90, 93, 94, 97, 97, 98, 98, 100}
Returns: 112.36468383705069
250
{194, 155, 151, 139, 220, 109, 137, 83, 195, 206, 209, 180, 166, 117, 28, 200, 241, 3, 35, 219, 202, 15, 23, 240, 72, 236, 155, 74, 201, 142, 51, 178, 64, 211, 125, 153, 192, 192, 236, 203, 105, 50, 116, 54, 149, 213, 230, 164, 194, 172, 215, 165, 2, 69, 56, 53, 197, 27, 224, 174, 208, 11, 125, 96, 18, 94, 28, 201, 41, 236, 185, 56, 9, 199, 186, 81, 81, 196, 233, 208, 234, 66, 200, 142, 188, 188, 19, 205, 43, 33, 236, 121, 48, 74, 62, 166, 207, 206, 121, 199, 224, 73, 172, 98, 177, 118, 23, 172, 159, 78, 22, 90, 104, 41, 12, 103, 194, 65, 144, 22, 54, 140, 29, 103, 177, 191, 19, 105, 184, 239, 99, 222, 86, 244, 2, 120, 181, 20, 166, 209, 141, 194, 130, 35, 114, 52, 33, 239, 184, 112, 193, 16, 119, 83, 158, 23, 179, 98, 218, 115, 191, 123, 149, 244, 244, 102, 129, 27, 138, 142, 99, 112, 189, 147, 127, 100, 87, 4, 221, 135, 92, 228, 149, 76, 219, 118, 54, 233, 20, 11, 84, 150, 7, 31, 67, 197, 41, 233, 2, 193, 11, 72, 72, 235, 23, 51, 163, 98, 113, 166, 133, 227, 233, 121, 214, 222, 139, 18, 5, 71, 102, 23, 209, 2, 112, 195, 190, 93, 54, 192, 220, 112, 221, 155, 235, 54, 135, 97, 82, 85, 115, 144, 8, 86, 219, 204, 128, 167, 232, 127}
Returns: 261.76759750407547
250
{40, 108, 118, 14, 63, 173, 59, 88, 214, 103, 233, 170, 156, 249, 173, 109, 248, 88, 187, 246, 222, 238, 49, 94, 213, 62, 11, 80, 8, 126, 108, 102, 64, 63, 44, 177, 91, 92, 120, 123, 220, 237, 72, 148, 96, 119, 208, 129, 85, 239, 185, 221, 138, 198, 151, 52, 42, 30, 229, 96, 231, 76, 42, 101, 83, 227, 72, 241, 172, 121, 167, 193, 238, 182, 207, 21, 31, 130, 33, 33, 83, 77, 9, 140, 124, 32, 24, 232, 128, 88, 62, 167, 219, 185, 8, 138, 221, 30, 250, 236, 6, 87, 233, 131, 158, 153, 135, 74, 160, 93, 209, 192, 8, 131, 214, 78, 189, 61, 55, 113, 216, 54, 184, 209, 19, 156, 118, 43, 116, 56, 186, 58, 106, 113, 224, 103, 46, 46, 51, 218, 179, 58, 240, 142, 73, 39, 113, 200, 20, 56, 187, 1, 132, 170, 8, 156, 10, 126, 206, 216, 236, 26, 145, 250, 222, 6, 235, 168, 162, 1, 138, 95, 157, 29, 84, 222, 162, 176, 20, 198, 47, 36, 138, 244, 217, 61, 138, 214, 183, 41, 2, 177, 13, 83, 191, 91, 66, 210, 178, 165, 44, 12, 171, 250, 220, 250, 236, 34, 115, 102, 54, 35, 90, 124, 185, 25, 56, 11, 125, 194, 235, 86, 115, 179, 35, 143, 154, 241, 112, 71, 219, 144, 154, 107, 182, 102, 48, 40, 123, 213, 79, 68, 10, 2, 54, 219, 8, 206, 37, 43}
Returns: 251.7120825802731
283
{1,159,25,29,1,20,6,32,11,3,99,9,4,25,6,3,42,260,1,82,44,16,116,4,44,27,8,77,3,3,43,22,47,18,24,2,28,15,26,67,20,125,4,12,46}
Returns: 12.702389007568975
73
{2,6,24,9,15,10,11,2,1,15,66,7,1,7,3,1,34,23,30,23,1,46,1,3,10,7,9,11,46,7,5,69,9,3,13,4,2,6,8,41,1,4,3,1,4,14,15,43,9,50,34,1,3,30,2,1,20,6,2,4,2,2,3,1,1,56,6,1,14,17,44,5,13,8,2,5,63,6,20,5,2,18,3,1,3,5,59,8,47,5,2,22,25,1,33,38,2,64,7,1,51,15,7,10,2,4,1,10,9,8,14,6,14,12,4,10,47,3,1,23,1,2,2,1,32,2,37,35,4,67,23,15,2,11,42,23,4,2,1,3,13,1,1,3,68,31,15,71,2,1,5,2,7,1,1,3,61,1,14,7,1,19,38,22,6,14,3,2,43,25,8,22,19,24,3,42,19,59,14,11,55,2,3,26,1,43,14,5,18,2,16,3,17,5,35,3,3,3,30,67,15,51,13,4,6,50,44,5,1,2,2,25,1,11,10,41,55,16,9,1,1,3,28,53,38,17,5,43,3,57,7,6,1,18,49,11,1,56,1,31,29,6,12,9,3,1,1,3,1,1,20,52,5,69,5,12,9,3,4,3,3,18,2,32,19,20,70,1,2,49,14,1,22,1,1,30,8,1,4,27,19,3,1,70,10,50,1,10,25,5,4}
Returns: 129.73258220089386
180
{10,8,10,51,6,12,87,59,17,17,7,1,70,106,1,25,1,76,2,1,2,1,1,15,145,1}
Returns: 8.955154201423282
14
{1,8,5,1,2,2,4,3,1,2,1,1,2,10,2,1,2,1,1,3,4,6,7,10,5,5,5,8,1,1,3,5,7,1,1,3,3,13,13,1,3,2,10,3,1,6,1,7,2,3,4,1,2,9,5,11,3,1,5,4,3,5,5,5,4,1,1,4,2,2,6,2,7,1,1,1,1,13,13,1,2,1,10,10,11,1,9,1,4,7,13,13,3,2,2,7,2,3,1,6,1,9,10,5,1,1,13,5,1,6,1,1,11,8,1,1,4,3,13,4,1,7,1,9,5,1,4,3,6,3,7,11,2,2,8,3,2,12,7,4,13,1,8,2,10,5,1,10,6,4,11,1,8,3,3,2,1,11,1,9,2,2,8,1,1,11,7,3,1,2,2,11,4,2,8,9,2,2,2,4,8,7,1,1,4,13,11,2,13,2,2,9,8,9,1,1,11,1,1,2,9,1,1,5,2,3,12,1,1,4,9,3,1,9,2,8,4,2,5,3,1,2,3,7,1,4,4,6,1,5,4,5,11,4,2,6,1,6,1,10,1,1,1,3,3,3,1,1,8,1,4,10,1,6,7,1,2,1,1,4,1,2,4,7,3,8,1,2,1,2,4,3,8,5,4,2,4,1,5,4,2,8,2,13,9,13,3,6,1,1,1,7,2,3,2,2,2,10,6}
Returns: 190.4336408104417
172
{9,1,27,1,28,1,104,1,1,7,5,1,1,2,23,98,20,2,4,2,36,39,151,4,1,40,59,6,10,62,23,39,93,30,7,4,1,1,6,41,5,1,11,6,1,13,6,3,1,15,50,18,121,2,2,39,11,1,167,107,79,102,3,115,2,27,167,7,1,3,3,85,16,42,128,10,2,63,2,2,82,104,45,1,22,32,14,3,5,3,26,48,11,5,71,29,23,14,19,147,3,36,20,118,17,25,85,15,66,40,2,1,12,42,2,18,5,1,8,114,4,34,1,39,2,17,41,1,124,13,7,12,59,10,90,96,2,4,115,45,82,103,41,2,41,46,3,11,1,96,1,4,9,2,20,7,1}
Returns: 59.64573013959628
216
{26,5,15,2,119,8,78,156,38,5,1,1,30,6,3,58,9,2,32,1,20,53,5,1,2,1,19,3,2,13,15,146,131,13,12}
Returns: 10.40087721467676
187
{17,115,5,127,48,2,6,52,1,2,11,5,1,118,4,16,4,10,2,2,68,5,95,10,7,4,1,176,2,40,18,45,1,36,47,127,16,1,5,17,9,73,1,1,3,156,4,48,91,93,94,5,4,16,52,3,41,4,58,28,76,70,55,1,5,1,141,86,2,1,2,11,22,5,116,73,29,14,1,1,2,5,3,85,3,1,24,89,2,6,21,1,7,15,13,171,22,1,36,3,76,167,62,6,117,19,63,7,30,2,9,2,2,75,105,4,51,108,153,75,10,39,1,100,18,1,1,1,1,1,1}
Returns: 50.98756304109459
215
{1,3,1,14,7,24,4,149,3,42,90,4,128,172,83,3,168,40,5,1,206,1,2,4,8,72,2,1,110,68,167,161,91,6,14,2,6,1,4,16,1,52,94,4,1,1,148,32,131,90,18,5,38,2,92,4,8,163,4,94,32,14,137,9,1,149,7,17,36,1,16,1,1,13,49,84,60,51,2,9,8,38,17,85,23,73,23,1,9,5,64,1,62,3,5,2,43,17,173,9,15,24,74,13,38,147,1,5,1,3,7,204,14,1,2,16,60,11,11,1,50,41,30,18,47,1,6,22,5,6,21,16,5,47,1,20,129,10,98,29,3,3,83,1,4,52,7,1,17,18,2,151,210,100,82,4,138,5,37,19,162,11,9,3,32,3,1,2,39,2,5,12,2,2,1,1,137,33,37,1,91,19,17,25,191,24,14,1,109,66,25,1,64,1,61,65,206,65,122,17,2,142,56,47,2,8,23,13,32,16,177,4,99,100,1,50,18}
Returns: 84.95453198562956
38
{5,8,3,8,12,1,11,3,15,1,2,7,10,1,37,13,2,18,2,1,27,4,3,5,2,16,11,30,1,26,13,13,9,1,4,1,25,31,2,30,7,4,1,1,2,4,8,6,12,4,4,4,1,2,1,30,14,29,2,1,1,1,7,1,2,18,7,1,19,1,1,2,3,16,24,27,9,2,1,24,24,7,8,28,7,15,1,3,1,1,5,15,3,13,22,24,8,18,35,31,3,36,1,1,3,2,3,3,2,3,2,29,1,11,7,6,6,6,17,6,4,1,2,26,2,33,2,28,31,1,30,7,2,14,1,20,22,8,11,7,1,22,5,3,25,2,25,2,6,1,2,1,27,7,15,4,23,17,4,3,4,11,14,24,12,2,2,11,3,6,5,35,4,24,17,12,30,1,1,7,1,15}
Returns: 98.19492126124796
69
{20,2,20,62,29,6,50,26,32,37,3,3,50,7,1,65,1,4,50,8,25,1,52,6,3,7,2,13,4,22,63,38,2,67,14,28,1,2,4,9,4,1,1,10,4,57,9,2,1,3,37,2,7,4,2,10,54,15,64,14,2,2,1,4,17,16,12,57,28,4,23,3,25,8,1,4,19,12,5,1,40,3,50,28,1,2,7,32,2,1,53,12,21,1,45,3,10,22,3,10,32,9,1,53,16,8,29,1,7,30,15,45,1,16,4,57,1,46,4,4,1,6,6,23,47,4,1,9,8,9,1,21,19,54,3,6,1,19,2,46,29,18,26,5,2,22,18,4,1,2,36,2,1,3,43,2,1,3,6,61,54,6,41,1,11,5,3,5,2,1,2,8,2,19,4,22,12,45,56,12,47,1,47,5,47,14,1,16,36,1,46,7,47,11,1,10,1,2,4,7,13,1,1}
Returns: 99.6868865428081
43
{3,8,7,1,16,33,4,6,1,9,31,1,9,31,19,2,1,34,17,40,10,6,29,2,2,31,2,9,1,32,1,2,3,2,5,6,6,20,3,2,12,2,4,1,10,2,2,5,10,1,18,9,25,14,2,8,14,1,2,8,3,3,13}
Returns: 29.90965147073107
24
{1,2,10,12,21,4,4,3,20,8,15,1,23,4,1,16,5,1,4,4,1,4,19,11,1,2,23,3,1,3,1,22,10,15,9,7,1,3,2,2,3,11,3,3,10,5,2,21,9,7,5,2,2,4,21,3,8,2,4,22,1,7,1,10,1,5,10,5,6,6,5,10,10,1,3,1,1,1,6,3,1,18,10,3,2,7,1,15,1,3,1,1,11,23,5,18,16,15,2,19,22,21,4,16,19,9,12,2,16,21,11,19,13,22,5,3,3,5,1,23,1,14,17,22,4,8,1,5,5,3,12,1,22,4,5,3,2,4,13,2,1,4,2,1,17,1,1,6,1,9,1,1,1,20,13,7,4,5,1,2,2,10,13,1,3,4,1,10,15,3,3,14,2,3,1,1,13,4,3,11,11,23,1,11,16,4,8,13,9,3,1,3,3,2,4,3,9,8,4,2,1,3,11,15,5,2,1,2,1,3,1,15,13,7,21,3,1,13,5,12,3,1,1,9,1,2,15,2,2,14,2,13,6,1,10,23,17,3,1,5,7,1,12,1,1,3,6,2,6,9,3,2,1,2,1}
Returns: 151.08738084085408
253
{4,7,196,12,29,5,12,13,17,24,150,140,46,31,218,148,18,6,5,5,1,59,33,139,137,50,54,1,10,1,128,93,110,6,14,87,11,7,14,37,38,33,2}
Returns: 18.217565970777002
221
{5,1,22,10,1,13,48,76,3,39,1,8,73,5,32,82,157,2,98,2,77,4,1,176,6,40,10,116,167,3,1,3,6,6,1,48,4,50,4,16,1,19,170,15,189,1,5,75,35,3,4,29,159,6,2,10,147,4,137,72,3,53,123,53,32,17,2,1,186,3,3,35,44,215,13,92,2,4,5,200,22,5,33,26,1,1,19,29,10,167,8,1,2,190,23,130,2,1,20,10,1,21,16,61,166,1,8,21,82,2,5,8,3,37,13,55,17,4}
Returns: 45.13345938952224
233
{5,8,2,3,30,47,12,176,26,68,2,41,3,11,21,1,53,2,94,1,75,174,32,1,36,19,130,3,26,2,23,193,17,60,35,3,26,2,5,13,2,80,6,51,133,7,1,34,5,2,104,39,117,9,6,9,83,2,23,11,23,1,18,17,14,21,6,7,1,8,8,88,72,101,10,39,23,92,11,1,61,1,7,88,3,1,102,75,6,205,207,118,188,1,116,164,1,97,18,10,1,21,15,26,5,5,20,8,5,20,1,13,12,16,4,5,6,2,49,2,16,7,49,3,17,26,26,90,37,13,1,10,12,1,10,26,4,7,63,4,10,2,1,22,3,224,73,94,150,1,31,141,20,4,4,59,46,6,91,3,3,97,2,69,4,1,28,133,30,23,3,1,31,217,10,1,5,195,1,162,8,85,55,6,1,8,205,214,3,2,6,3,25,27,85,78,161,12,1,2,199,5,143,28,2,1,1,17,229,8,229,149,7,7,1,106,18,7,1,18,1,138,16,17,54,164,5,8,3,36,4,3,79,108,4,27,9}
Returns: 85.9440483571145
208
{151,1,10,25,3,19,7,21,1,114,7,4,3,6,14,4,47,1,63,96,1,174,88,2,1,2,18,9,1,22,37,5,4,75,15,1,2,53,36,45,2,1,198,7,19,2,1,17,11,70,15,24,65,19,65}
Returns: 17.476599557965333
38
{6,1,3,15,18,5,1,6,2,5,11,2,1,1,1,1,1,1,2,1,15,3,19,36,1,21,32,1,34,2,3,21,15,8,6,1,2,1,1,9,9,1,3,37,1,1,1,9,1,5,30,32,12,5,36,33,17,21,1,22,1,2,17,1,16,23,15,17,31,10,3,1,11,17,28,6,18,1,1,16,2,23,1,31,26,29,4,5,16,3,4,2,10,1,8,1,17,2,1,8,1,6,16,23,1,19,15,7,1,22,1,2,1,2,1,22,1,14,3,3,7,11,1,1,21,7,15,10,5,8,4,5,5,8,1,6,1,1,32,1,6,1,11,20,3,16,31,11,3,25,3,9,1,2,33,24,4,6,1,14,18,1,9,3,5,1,11,1,12,3,6,7,1,3,7,19,32,16,9,5,1,1,3,4,28,30,19,32,2,1,2,5,10,8,14,2,16,4,28,3,4,27,2,35,6,1,5,14,10,13,20,12,33,13,6,30,1,3,9}
Returns: 117.3823138087444
272
{1,4,114,3,73,114,13,163,50,2,6,69,31,9,49,8,6,3,16,6,70,108,6,85,1,108,61,189,12,3,18,25,2,2,52,1,28,11,4,15,54,38,3,7,21,1,1,3,193,45,5,24,155,14,57,26,18,19,4,2,5,41,5,35,1,90,3,114,16,220,3,5,7,18,31,3,45,1,46,4,102,55,13,5,3,4,7,68,118,176,38,10,11,47,2,1,1,1,18,4,9,30,84,191,2,20,260,16,22,2,13,1,196,42,68,115,18,103,245,3,30,24,86,79,215,14,3,1,203,4,7,2,109,9,150,12,102,41,3,7,5,18,10,156,54,16,97,1,258,41,1,47,26,26,23,5,6,38,6,1,54,122,9,19,15,15,1,12,1,1,22,3,190,1,9,44,45,1,155,1,9,257,7,15,3,3,8,137,2,16,2,5,1,3,15,66,71,59,125,6,131,4,84,2,48,24,2,129,8,29,105,7,5,232,69,3,9}
Returns: 71.45725755938147
220
{1}
Returns: 0.00909090909090909
93
{1,6,1,75,3,33,32,7,50,41,5,36,19,6,64,19,17,2,12,14,3,29,18,1,11,1,2,7,12,28,4,1,89,3,5,1,74,40,8,13,76,19,76,17,9,14,1,3,16,14,7,20,1,26,11,1,15,4,4,1,44,2,1,15,29,28,63,1,14,2,2,51,1,24,33,5,2,17,15,2,9,39,9,1,2,5,4,8,2,5,9,7,37,3,4,10,4,2,29,1,2,7,1,11,10,1,69,7,2,3,1,1,3,27,3,40,9,1,56,90,42,8,1,1,6,4,4,1,15,2,21,63,17,21,3,1,6,1,42,6,3,24,15,3,1,3,11,1,1,2,1,1,2,2,88}
Returns: 54.231341146817
189
{33,118,104,36,90,1,152,2,2,1,1,56,182,87,134,75,65,29,58,23,67,105,53,117,137,170,19,150,21,13,132,85,1,86,78,83,90,130,77,57,1,3,1,15,22,34,13,32,1,99,58,9,4,67,7,86,151,1,98,85,1,1,37,90,72,1,31,81,25,86,1,143,1,20,37,147,14,110,15,38,18,1,69,1,57,173,70,18,146,32,63,71,1,95,144,28,167,1,140,178,4,86,7,53,126,82,112,183,25,45,4,127,3,73,168,1,6,1,106,124,187,139,1,3,108,26,22,3,3,65,103,19,8,1,9,34,51,30,58,24,26,1,32,51,157,158,1,113,30,101,1,26,17,102,159,23,61,50,11,12,22,56,84,106,4,184,47,183,1,51,86,155,10,66,157,20,109,34,12,128,123,21,73}
Returns: 121.67290275468817
296
{1,26,174,80,18,132,90,77,259,54,1,273,31,184,69,97,45,249,261,32,104,287,1,270,42,131,3,204,40,239,43,17,171,1,4,12,1,29,1,51,238,61,89,13,130,30,142,51,135,182,125,294,123,263,140,107,53,15,1,90,179,25,28,257,26,2,78}
Returns: 46.8292273384135
269
{76,11,252,2,84,216,75,29,12,126,2,79,80,218,22,181,162,80,81,107,4,8,167,22,22,247,5,44,5,174,234,36,131,216,150,23,245,43,15,38,4,249,251,1,87,10,264,78,4,131,85,139,45,215,44,2,134,137,69,7,94,13,35,82,160,13,173,23,64,44,40,185,9,166,38,217,195,253,212,118,66,39,145,81,195,110,219,124,13,4,8,23,154,19,186,8,7,8,130,254,5,262,214,14,1,165,1,15,197,1,18,179,140,33,7,202,1,4,14,1,7,3,158,150,18,180,136,218,181,132,171,123,165,218,1,41,70,170,69,252,81,64,124,256,126,82,211,23,235,247,207,6,78,54,113,52,148,75,66,13,80,247,183,197,5,161,1,49,189,258,25,1,144,55,255,25,20,1,268,82,3,43,8,28,19,69,37}
Returns: 138.59789845397083
112
{23,21,110,43,89,45,89,1,34,5,1,106,2,65,15,37,37,31,6,43,1,1,106,1,27,92,18,70,4,20,85,1,94,20,1,45,110,8,6,1,4,1,93,33,15,28,15,22,20,70,70,32,33,1,5,104,12,1,73,66,6,6,4,1,50,2,7,34,13,9,69,1,37,54,63,9,77,1,28,107,7,1,4,6,82,58,11,13,49,1,86,3,32,12,11,1,5,22,48,1,94,5,22,6,65,29,1,54,95,36,30,13,1,10,52,12,26,7,70,24,53,93,38,31,1,92,96,88,33,109,96,10,1,21,1,16,15,7,18,101,38,3,3,79,48,81,36,1,14,28,8,14,2,74,17,21,39,29,76,45,85,1,2,15,18,4,23,25,10,2,4,1,95,2,3,56,28,22,45,29,4,52,4,80,35,1,20,16,7,1,18,4,86,1,45,69,57,87,90,12,50,13,2,5,1,31,11,3,2,8,46,85,6,7,67,102,99,3,79,61,55,94,24,97,1,1,13,40,12,40,40,41,1,46,30,33,1,1,95}
Returns: 145.35581264613646
225
{172,12,158,1,6,10,66,51,211,54,1,222,106,20,99,18,96,3,1,95,195,98,1,116,41,12,197,141,7,69,152,43,46,209,3,129,6,15,5,97,34,148,92,61,93,207,143,166,99,70,55,185,1,6,2,114,171,57,9,147,65,179,44,86,31,96,172,52,73,191,6,79,11,210,6,14,161,145,138,43,1,168,17,10,151,61,33,38,33,70,58,124,49,200,34,171,189,215,27,190,4,42,3,71,8,14,190,8,30}
Returns: 80.86783830878673
100
{29,88,1,8,73,46,1,97,85,10,45,1,3,77,20,23,83,9,8,84,9,6,27,15,71,6,54,85,1,56,4,50,1,20,52,19,66,1,1,29,21,84,18,59,1,14,33,1,19,87,49,7,33,9,76,1,60,5,2,29,25,56,33,3,29,21,1,33,32,72,47,63,1,25,5,77,9,38,71,2,44,89,18,81,57,19,81,75,1,35,1,4,71,10,37,3,28,59,41,24,1,1,5,9,29,90,1,80,28,83,7,70,1,86,13,57,39,14,50,89,18,27,2,29,1,72,9,43,54,26,91,10,5,4,1,21,38,13,53,23,9,1,74,6,5,94,85,8,43,44,11,1,6,8,1,22,1,36,32,18,6,61,7,1,1,7,16,56,20,1,37,9,21,27,4,63,25,80,1,36,2,1,6,64,67,60,4,84,10,26,20,17,28,28,3,42,1,10,2,4,6,51,51,4,36,46,22,1,1,64,65,95,38,2,1,13,29,11,64,25,2,1,56,1,28,46,34,38,22,34,40,5,7,74,3,37,1,27,31,40,91,63,26,28}
Returns: 153.32170698605123
162
{77,9,51,123,21,54,1,97,106,1,1,47,145,116,15,157,149,40,1,53,23,1,152,34,43,144,135,1,159,8,4,9,6,74,46,1,24,41,116,9,52,1,32,28,70,149,33,160,1,11,48,28,2,32,47,33,8,12,95,149,34,1,85,27,79,51,90,8,5,6,1,14,113,5,20,45,109,6,59,66,41,123,26,66,9,70,95,22,16,115,121,114,128,51,123,95,133,56,22,76,1,126,132,96,124,24,157,2,5,46,9,107,23,31,21,65,17,30,6,50,25,108,113,41,59,31,12,2}
Returns: 89.60906854599456
42
{1,2,14,1,25,24,1,35,7,31,4,38,40,27,6,35,20,17,24,28,1,22,6,15,16,6,1,17,14,9,13,1,33,4,12,1,1,1,14,8,2,10,1,1,1,1,41,4,14,21,41,1,16,1,3,8,20,22,1,10,14,4,19,15,1,17,10,8,1,2,9,1,9,22,22,1,1,10,8,1,34,28,1,31,26,19,1,1,14,1,1,1,12,8,1,36,28,34,1,1,2,34,6,7,16,3,27,28,1,1,1,4,1,9,3,17,34,32,23,5,18,12,5,13,39,25,9,3,3,39,5,12,16,18,28,1,1,8,11,20,3,12,5,35,1,2,8,4,35,8,1,10,1,18,16,38,9,11,26,16,34,1,14,1,17,1,3,11,32,14,16,36,8,28,36,19,8,31}
Returns: 114.73625536654656
283
{129,74,239,120,1,204,59,67,236,121,195,75,8,231,251,36,273,7,98,18,29,1,15,277,238,4,62,26,41,24,25,188,92,248,43,19,39}
Returns: 28.096286861185256
94
{24,68,32,74,7,1,12,56,71,80,1,14,54,12,9,47,61,89,68,49,10,85,7,1,1,11,84,79,3,4,82,1,11,2,1,62,13,29,48,86,1,50,27,1,26,68,17,1,1,10,1,3,1,7,92,22,1,5,91,49,1,1,8,47,5,1,2,4,1,25,14,27,15,16,70,23,72,3,31,93,73,34,23,91,59,85,1,15,26,6,61,21,33,71,80,59,27,78,1,86,1,45,42,41,9,44,37,72,3,4,1,7,22,1,11,76,17,47,22,2,50,74,67,4,80,76,61,12,4,6,41,77,1,1,19,43,45,3,53,54,6,9,2,1,21,93,57,68,1,15,38,41,93,63,62,32,1,1,2,9,28,79,85,76,41,13,17,30,24,1,47,1,1,70,92,18,1,8,12,18,4,3,16,12,9,2,31,2,52,11,17,5,1,1,74,1,14,1,8,30,5,8,1,10,73,55,56,56,52,52,76,63,47,84,19,25,6,40,4,3,20,33,33,25,85,48,19,1,6,1,19,1,10,13,79,26,67,16,61,21,1,12,20,66,25,1,8,46,1,18,17,26,49,15,34,29,1,18,13,3,1,47,45,63,1,67,21,1,1,55,41,77}
Returns: 179.80229964915065
169
{82,23,22,1,120,61,16,101,3,105,128,94,8,39,11,89,1,5,73,25,27,5,22,3,76,28,3,94,46,66,63,42,19,157,88,27,1,1,1,4,16,100,37,144,165,136,101,43,120,20,83,6,109,137,35,8,160,2,93,130,120,116,34,36,1,74,1,12,84,1,14,93,1,3,121,131,40,1,123,32,5,8,27,55,54,166,1,44,1,7,7,4,9,1,17,106,20,4,26,73,1,158,89,117,1,23,137,84,132,148,1,13,53,10,82,100,65,116,8,6,82,68,106,6,60,4,38,119,3,4,150,5,125,24,22,112,5,136,4,21,73,16,136,52,17,99,66,19,9,56,50,68,5,5,26,51,43,41,52,14,1,148,6,15,6,110,1,8,2,52,2,83,69}
Returns: 108.44755357054636
28
{6,18,1,24,1,3,18,1}
Returns: 5.589266758430448
37
{6,8,7,26,6,1,18,1,3,1,21,7,17,15,1,24,2,21,20,2,16,1,1,24,24,36,17,1,8,20,25,19,1,2,12,19,29,16,2,5,12,21,2,11,32,14,11,11,32,4,1,1,1,36,27,1,32,25,27,27,31,9,1,27,9,1,2,12,14,4,22,5,1,22,7,4,21,1,18,23,16,13,35,8,1,2,26,36,6,12,1,27,6,1,19,1,17,2,21,11,1,21,1,6,24,15,1,4,13,35,15,24,1,25,18,24,1,2,1,2,18,1,31,36,17,1,36,1,35,28,1,1,1,1,18,27,1,24,2,13,9,3,31,32,4,15,9,10,29,26,31,20,3,22,22,1,32,5,4,6,17,35,20,4,9,19,1,8,10,1,18,1,11,1,1,30,9,17,16,24,1,36,9}
Returns: 134.92162127000702
154
{90,37,1,115,1,112,22,33,1,88,1,1,1,6,52,7,141,1,79,72,98,18,26,4,78,29,5,45,20,38,102,52,9,75,37,2,1,30,127,4,75,14,29,71,1,65,63,20,33,22,97,72,1,4,148,81,122,1,70,56,20,20,10,55,1,90,15,145,1,106,45,117,48,4,90,1,7,2,1,68,52,53,7,38,24,1,1,1,23,88,152,1,21,81,12,18,85,100,19,3,42,24,13,9,41,68,86,1,70,14,2,18,2,1,1,76,89,48,51,36,3,79,1,6,5,91,88,107,19,1,1,1,104,29,64,1,1,93,41,144,1,92,50,33,63,80,144,15,40,104,1,119,140,24,107,1,76,119,136,20,2,7,75,1,78,57}
Returns: 99.97858105182793
222
{7,62,1,68,2,39,135,83,32,1,137,137,20,189,4,4,133,127,7,77,202,66,95,120,177,109,51,6,49,105,170,23,196,85,105,62,187,184,145,102,69,73,76,18,186,1,1,182,17,46,15,129,16,68,102,123,3,20,25,6,42,59,17,19,1,20,19,19,2,51,26,1,159,125,158,11,42,27,26,32,98,29,1,108,127,30,43,191,185,100,94,25,141,14,1,38,181,56,3,178,124,221,1,182,3,95,166,1,95,26,55,81,115,22,199,31,1,148,192,68,37,179,27,6,78,146,22,200,129,11,22,9,114,10,217,182,53,19,60,2,109,45,78,154,4,3,1,43,3,210,159,160,44,18,11,178,1,85,192,150,11,4,70,36,22,25,84,215,47,1,6,9,209,3,60,11,1,154,1,18,153,26,1,56,32,43,55,32,215,72,210,185,87,62,191,103,2,134,92,58,59,23,170,180,15,60,25,138,166,8,4,34,1,17,10,34,13,76,105,21,135,14,161,85,47,25,1,8,214,10,38,87,153,66,159,24,8,17,166,57,23,48,70,173,36,83,122,77,2,3,88,67,11,39,57,94}
Returns: 170.82998350291663
12
{2,1,3,9,2,9,1,1,1,1,8,5,3,8,7,1,4,1,4,4,10,4,5,2,8,7,9,6,9,1,2,1,1,8,4,1,1,1,4,8,4,1,5,1,3,1,8,2,10,1,1,1,2,7,1,1,1,3,5,5,6,5,4,1,1,1,1,10,1,1,1,5,1,2,4,1,1,2,1,1,1,1,1,5,9,1,4,6,1,1,2,10,2,1,1,8,1,1,2,4,11,7,1,4,1,1,4,1,1,1,1,10,1,1,1,1,6,4,9,1,1,9,1,4,1,1,1,1,6,2,1,1,1,2,3,9,6,1,1,1,11,6,7,8,1,2,4,1,6,3,2,2,1,5,5,1,2,1,1,3,1,2,1,1,3,11,1,6,7,1,1,1,1,1,1,1,5,8,1,2,8,9,4,2}
Returns: 103.81945839026693
28
{14,2,10,8,2,25,4,15,3,2,3,1,12,19,1,11,1,27,1,1,1,10,18,10,1,25,4,17,22,26,1,1,7,1,1,1,2,18,17,16,9,1,14,7,1,6,2,1,26,12,6,2,24,9,27,2,4,2,16,3,1,1,5,17,17,1,2,7,17,7,8,15,1,7,1,21,7,12,3,22,16,1,19,21,1,20,12,4,1,14,8,1,17,1,15,1,1,26,15,22,11,1,2,1,12,10,23,2,1,9,16,8,7,23,1,11,2,1,21,18,1,4,1,3,11,20,4,1,22,1,5,1,1,9,1,6,1,20,7,1,17,1,11,1,23,1,1,18,20,1,8,24,26,15,22,24,2,1,7,21,4,19,26,18,1,1,2,1,5,19,5,1,27,4,1,9,15,11,1,2,1,1,4,4,21,1,26,3,1,5,23,11}
Returns: 126.58116576626405
179
{94,161,9,84,30,1,14,78,77}
Returns: 6.8458110412764634
190
{183,154,156,85,6,118,1,54,151,125,96,59,98,65,116,44,6,40,51,129,38,31,1,93,45,18,13,139,35,176,1,28,6,102,17,1,131,5,86,24,120,14,61,161,108,163,117,139,123,98,64,83,176,100,29,6,85,18,31,1,1,14,1,3,29,1,7,179,172,25,50,37,178,107,1,47,132,87,150,56,54,92,1,59,89,34,77,47,1,41,32,116,11,124,96,150,1,69,166,1,1,135,101,139,1,46,2,2,77,178,79,118,137,173,93,157,48,39,58,12,113,185,89,122,150,78,56,4,157,23,127,58,116,34,101,9,33,1,98,160,136,53,140,37,18,163,30,19,109,47,2,107,49,132,66,120,47,50,1,19,23,3,22,111,35,23,145,22,1,53,77,45,14,2,1,139,70,46,3,3,11,92,120,8,114,79,5,175,1,144,1,8,7,1,101,137,27,75,27,172,18,3,151,29,16,6,19,176,162,120,1,11,34,69,2,6,137,137,1,4,178,4,109}
Returns: 162.69716574811108
227
{149,113,30,1,106,59,149,137,170,24,179,57,144,1,108,44,25,1,1,183,46,40,10,8,1,164,15,56,24,116,1,20,63,61,186,164,6,1,1,222,83,48,164,88,144,76,70,10,17,206,141,4,84,226,152,1,120,11,115,5,121,45,43,182,78,9,1,145,2,121,63,173,25,65,1,103,12,9,69,7,1,1,1,43,24,22,92,33,223,1,38,65,1,97,26,124,177,2,19,165,10,95,1,8,99,174,47,31,1,19,17,69,3,172,101,7,111,80,177,211,167,220,135,34,94,72,103,135,16,93,170,177,66,207,207,22,74,48,16,143,176,3,16,21,4,45,43,14,196,88,1,132,72,1,1,172,2,66,1,123,13,27,222,130,19,63,138,11,48,129,70,19,47,2,102,1,10,20,124,161,136,140,118,75,11,107,1,1}
Returns: 124.7792436888011
15
{12,10,14,2,15,11,15,10,10,12,6,12,10,11,12,6,2,1,8,2,14,6,5,6,1,14,11,13,11,13,2,5,12,5,4,12,5,13,11,11,1,2,9,9,9,9,15,5,11,10,1,15,14,9,13,3,11,2,12,10,9,12,4,8,13,11,4,11,3,1,13,11,2,10,3,7,11,2,2,14,10,10,12,12,11,6,5,4,3,12,9,12,10,8,7,11,2,9,4,2,13,5,14,9,9,12,6,3,13,13,4,8,10,6,1,10,2,3,8,13,2,4,15,13,7,5,3,14,14,5,2,1,14,8,9,11,12,6,6,15,6,14,4,13,13,6,13,4,9,1,1,15,14,11,12,3,10,13,13,3,8,9,2,2,4,9,15,14,1,3,6,11,10,8,15,5,15,5,15,8,15,13,4,11,1,3,13,9,2,2,11,2,10,1,12,1,6,3,10,13,15,8,12,10,14,6,10,3,11,13,1,7,9,14,4,4,9,14,3,14,4,14,12,4,12,13,3,15,4,9,15,2,11,7,12,1,1,13,8,13,5,15,8,4,3,7,12,10,6,14,13,1,12,3,3,2,3,12,6,9,2,4,8,2,9,13,1,10,14,1,13,3,7,15,12,11,13,13,11,6,1,2,13,3,6,15,10,5}
Returns: 319.21114471649804
153
{5,60,83,68,54,149,102,153,110,78,116,23,19,84,48,67,65,29,116,101,130,114,90,38,4,18,119,50,91,112,63,3,72,1,17,144,90,105,28,74,145,5,1,26,28,65,16,45,127,127,137,22,92,114,135,42,116,19,40,108,89,54,104,61,104,112,113,29,52,80,80,138,136,79,21,125,57,138,81,42,17}
Returns: 80.79986939982899
130
{5,13,14,98,11,47,119,16,50,37,130,57,110,19,4,101,88,98,95,122,44,4,43,123,88,121,11,95,17,112,36,9,63,11,77,14,41,15,76,68,44,57,64,81,67,6,1,16,68,53,62,46,101,89,35,2,79,85,111,51,121,125,29,129,35,111,71,48,67,42,66,81,29,20,130,100,35,92,22,81,38,114,127,49,118,99,13,54,56,111,107,17,81,82,22,98,38,63,90,22,64,97,71,116,94,61,86,125,108,44,59,92,18,82,126,83,11,101,52,85,102,64,82,10,108,102,88,76,37,46,25,38,126,27,68,93,3,16,60,16,34,122,65,42,18,15,49,47,81,13,87,123,45,80,48,105,124,73,109,22,105,108,123,110,61,65,121,29,80,81,41,63,83,68,21,8,112,15,28,19,34,63,80}
Returns: 185.3080685017892
187
{187,68,78,90,38,86,70,81,48,27,127,78,100,162,72,68,98,84,66,181,102,54,108,52,67,150,6,180,153,146,164,106,22,30,168,98,17,84,56,49,40,14,21,100,131,49,66,141,184,5,16,84,121,140,46,147,72,28,156,164,30,65,135,110}
Returns: 62.82675512928289
77
{61,53,6,34,43,48,75,13,64,37,40,25,5,35,42,76,27,65,43,53,4,49,48,52,51,48,74,19,16,47,75,4,2,5,6,55,61,2,18,22,7,53,39,21,3,4,14,14,49,15,25,3,56,34,61,7,60,60,48,34,67,41,57,53,5,51,67,25,36,35,8,23,11,45,28,18,41,14,45,55,74,61,57,25,16,9,36,47,46,50,17,44,39,37,67,71,19,64,15,39,67,59,26,67,71,66,25,43,64,56,58,47,69,25,5,51,18,71,73,30,4,20,42,58,3,59,54,72,35,17,7,24,33,35,64,41,76,13,62,12,65,30,55,45,65,27,75,2,23,63,30,9,10,47,27,51,65,72,76,26,73,56,32,40,17,47,24,73,54,77,20,23,76,37,47,20,35,77,57,60,58,7,8,6,51,15,66,68,10,23,47,63,38,70,54,60,56,12,28,37,50,61,30,39,17,73,1,35,36,67,55,33,18,13,18,16,33,58,43,35,54,40,33,18}
Returns: 233.40384122574025
222
{60,217,203,65,136,3,80,68,100,185,93,143,92,189,132,57,215,150,71,159,121,128,93,53,40,167,197,123,114,175,191,41,111,205,104,60,62,222,45,66,213,54,213,204,13,180,202,132,74,145,100,7,133,16,98,32,214,123,183,179,123,123,86,181,94,48,76,70,184,161,132,78,118,83,123,75,216,118,49,29,115,104,9,133,10,64,197,209,44,77,186,117,111,40,81,123,122,90,115,195,1,200,95,4,11,107,76,170,59,83,194,196,132,214,202,211,60,164,180,193,210,208,47,112,111,203,154,124,210,85,13,23,10,98,167,47,6,142,53,138,148,115,167,184}
Returns: 155.11404298516098
213
{197,164,49,58,52,197,19,60,30,201,13,172,168,156,119,4,79,118,34,115,153,179,56,42,112,95,69,166,106,73,1,86,193,50,122,157,159,27,121,120,202,137,101,52,88,180,167,16,158,36,57,200,160,141,156,106,144,139,180,164,9,190,178,34,170,132,211,197,48,4,194,111,116,88,105,136,177,171,66,71,20,110,210,110,211,94,150,179,101,128,126,49,69,210,49,104,8,31,174,155,207,91,211,10,31,153,50,97,34,53,35,3,13,53,179,13,207,66,32,140,68,181,49,138,62,74,119,48,50,15,193,128,213,96,8,2,54,128,75,93,213,77,14,81,45,174,163,70,123,88,78,4,180,152,110,29,35,81,111,174,16,10,150,40,127,157,189,70,180,180,98,20,66,201,209,146,131,102,177,76,40,163,187,63,161,8,72,116,196,181,68,178,97,154,135,63,23,207,111,71,184,79,171,95,111,150,204,59,129,101,45,1,32,87,119,31,194,52,5}
Returns: 222.60931797353754
242
{199,28,185,218,138,170,10,11,156,197,75,222}
Returns: 14.022866119096122
274
{1,251,237,56,3,224,148,122,208,121,214,9,196,180,168,238,158,140,236,203,272,60,4,91,81,94,9,150,103,70,256,19,6,68,260,111,245,124,169,241,215,168,91,82,27,122,223,257,20,19,130}
Returns: 52.021573925754964
189
{74,143,93,65,182,92,126,99,184,144,26,183,116,163,57,185,155,156,83,44,185,80,120,5,122,132,21,40,132,151,7,84,140,72,8,156}
Returns: 41.90266520334958
200
{160,196,100,5,163,59,113,42,104,103,20,136,115,154,5,91,143,173,130,67,76,191,75,109,95,150,66,42,69,181,21,111,7,155,56,62,54,77,101,171,128,67,78,117,103,83,26,45,5,155,44,59,74,187,15,37,83,66,121,80,23,142,22,187,180,118,153,11,111,166,57,149,104,100,195,105,150,112,96,120,94,42,11,37,34,64,200,81,51,50,63,56,108,196,52,38,131,164,127,145,8,179,19,196,175,41,170,16,149,60,49,69,57,121,131,87,70,184,19,160,99,173,130,193,123,6,138,106,157,184,47,47,14,56,114,24,22,183,101,122,186,190,7,58,30,67,82,69,52,110,159,159,39,121,132,39,154,180,30,200,156,199,63,117,178,16,36,153,75,154,192,151,189,175,114,140,122,185,184,71,115,130,200,172,138,195,179,86,142,158,62,96,26,123,197,158,161,10,167,73,184,45,5,29,20,107,123,180,136,103,122,118,19,33,69,188,104,168,63,43,108,148,65,193,121,181,190,5,123,15,153,57,126,186,169,76,24,157,34,32,150,112,112,127,157,124,139,30,129,190,88,153,20,110,131,7,151,177,187,12,55,187,129,24,178,183,134,50,24,83,181,164,144,158,120,119}
Returns: 295.41185302220805
17
{15,13,15,12,13,14,11,17,2,11,12,1,8,16,14,5,17,5,11,16,15,4,15,17,15,12,7,7,11,7,6,16,12,4,11,2,7,13,8,2,3,1,1,4,12,12,9,14,11,14,12,3,5,2,3,14,5,11,2,10,5,3,15,8,3,15,13,4,16,14,5,2,8,5,5,9,15,16,4,15,15,7,6,2,11,3,12,7,17,8,10,2,10,5,12,1,16,7,15,9,11,17,11,3,12,4,5,15,10,14,6,4,7,14,2,9,6,3,17,14,12,3,3,6,6,5,17,15,6,17,14,10,17,9,1,7,14,16,15,9,8,15,4,13,10,4,17,5,11,16,10,10,10,2,2}
Returns: 172.2563761481606
178
{170,105,57,154,39,30,72,10,44,68,145,163,21,21,139,50,4,163,14,66,78,83,90,138,14,89,135,88,137,46,56,64,53,164,84,171,155,75,81,102,161,122,79,40,137,77,46,40,112,25,148,166,98,92,146,98,15,35}
Returns: 58.911983281237774
85
{61,80,84,37,79,69,64,12,28,4,19,7,52,50,50,58,38,6,6,11,75,16,36,73,42,5,27,7,24,18,31,52,43,7,3,41,24,77,43,76,55,82,85,25,72,79,73,3,10,83,39,28,45,62,2,46,42,15,1,72,43,50,31,79,21,53,85,34,75,21,51,57,63,25,79,67,39,52,59,20,14,62,57,57,64,7,73,66,84,41,41,83,63,32,79,12,12,10,6,40,73,85,18,8,68,23,21,75,8,61,81,74,51,71,83,52,29,46,56,55,53,52,65,66,14,22,13,38,34,56,62,19,64,45,4,40,85,34,71,68,63,71,76,5,53,23,4,65,8,8,33,55,49,10,41,40,26,54,20,34,33,85,61,47,47,57,51,49,36,1,79,5,51,57,29,44,28,14,45,51,42,29,23,4,13,41,24,25,46,66,20,56,82,80,23,84,82,25,73,49,25,74,19,12,13,81,10,66,64,75,73,34,50,53,84,43,49,42,37,61,70,30,11,73,10,82,47,30,80,10,9,31,32,14,4,33,48,41,58,74,7,23,31,41,18,44,18,84,7,68,64,84,55,11,10,68,75,13,33,49,43,60,5,82,58,58,83,13,19,42,9,4,17,12,49,56,28,34,26,68,17,61,63,78,25,84,16,81}
Returns: 299.09707885177914
127
{24,101,95,97,28,46,52,40,69,29,83,37,28,108,54,10,106,122,92,60,40,9,45,45,122,116,34,14,113,7,58,22,23,84,17,95,66,55,21,89,35,58,69,13,9,58,65,52,17,75,118,109,33,35,86,110,94,31,7,68,50,12,106,65,110,126,5,74,19,32,45,24,125,83,19,20,70,29}
Returns: 73.14713107995885
268
{44,41,96,16,147,44,9,28,265,152,16,210,220,129,125,133,190,147,139,196,187,142,245,14,63,206,231,15,99,129,62,69,177,30,195,161,208,236,109,104,106,195,237,251,204,132,117,38,34,46,99,141,133,110,65,251,49,77,19,106,56,163,32,233,2,138,194,258,180,84,110,161,218,204,198,219,23,252,98,161,180,28,107,174,67,119,103,148,147,236,71,161,40,90,33,231,11,253,243,201,99,195,38,139,240,50,57,129,2,31,18,218,132,154,256,259,238,223,131,169,239,78,99,11,93,84,4,86,42,199,233,28,237,170,58,100,2,142,59,254,99,260,108,106,15,177,196,153,184,249,131}
Returns: 150.30914492971803
34
{18,12,13,34,31,10,15,22,17,23,13,29,32,4,24,12,4,9,7,8,19,15,27,4,13,27,2,22,34,2,21,15,8,2,7,14,10,32,7,7,23,15,2,18,8,25,12,14}
Returns: 45.21478848912671
16
{6,9,12,13,10,13,15,14,2,1,3,12,3,15,5,6,14,9,11,6,9,15,12,6,15,16,9,4,15,8,10,2,4,8,16,5,6,6,8,14,3,7,13,9,16,6,15,7,9,12,16,12,9,2,4,13,8,10,2,16,5,11,9,4,1,6,13,14,3,7,15,11,12,9,13,7,15,4,10,5,11,5,9,9,12,1,4,12,10,16,8,2,5,2,3,1,7,9,16,10,3,9,12,4,5,14,8,7,13,1,9,16,9,4,5,3,4,1,4,5,7,11,16,14,1,2,3,16,7,16,5,5,11,13,12,12,3,3,10,13,2,12,7,4,2,2,14,16,10,12,14,14,11,9,6,8,3,1,14,10,6,8,9,12,15,10,6,4,6,6,8,4,14,8,3,16,2,2,7,11,14,14,6,3,15,4,7,5,4,2,15,7,5,14,10,16,13,8,11,8,2,9,10,1,16,15,6,3,7,13,4,11,8,12,14,11,3,1,8,1,14,10,15,9,3,7,15,6,4,13,6,12,13,8,7}
Returns: 253.44064491150746
161
{151,32,50,125,70,146,147,107,120,24,12,16,103,81,66,69,15,90,124,130,14,35,114,82,145,2,43,16,35,159,114,157,129,92,106,65,24,85,136,120,65,112,104,152,89,125,141,129,49,134,73,113,10,75,18,114,3,157,152,147,140,128,51,15,58,119,106,50,139,58,111,30,18,124,152,160,85,134,117,97,140,91,77,80,61,151,129,130,81,145,124,59,121,125,122,23,95,88,72,93,18,98,154,38,113,158,74,50,50,86,71,26,83,37,75,10,61,120,39,122,2,160,16,24,124,45,156,143,53,134,122,154,36,76,28,102,157,155,36,94,101,72,35,95,76,150,43,122,81,79,88,136,110,50,139,4,5,1,99,58,55,10,157,120,124,71,147,102,81,54,118,56,68,77,128,11,14,117,104,138,58,35,10,59,93}
Returns: 202.79984299083173
106
{68,74,28,57,85,58,28,54,95,24,94,5,29,81,101,9,40,38,76,57,48,81,14,33,33,2,61,31,50,41,98,99,59,12,50,47,93,63,14,42,37,94,92,24}
Returns: 45.39896776756331
253
{7,132,2,12,161,101,3,68,55,32,108,3,5,35,65,25,22,13,10,156,1,147,9,24,1,1,1,141,18,1,61,57,5,1,40,9,80,1,26,10,1,1,236,5,3,138,1,53,8,1,6,4,4,4,124,41,6,2,3,2,21,3,38,10,111,61,241,8,22,37,1,3,24,9,4,70,16,10,5,91,2,20,1,1,3,1,27,74,8,45,13,2,7,176,242,36,1,192,13,1,4,3,27,1,7,1,8,54,1,8,82,3,55,1,44,65,4,69,6,4,25,4,26,1,6,59,2,41,156,58,8,138,16,107,139,9,1,13,15,152,64,1,11,25,95,2,31,20,5,1,33,1,23,1,73,10,44,16,7,145,3,107,40,4,17,5,14,110,1,53,172,45,3,1,5,2,25,1,4,21,1,15,45,8,122,6,5,3,45,16,32,3,1,17,53,3,11,26,16,249,1,23,3,2,13,161,109,1,19,64,1,50,2,50,7,73,127,6,47,1,3,47,97,12,106,21,38,6,212,66,145,23,7,3,3,25,11,248,195,2,48,2,1,33,12,126,18,3,1,22,1,54,14,3,1,6,88,27,49,26,1,1,127,77,31,2,78,196,109,198,28,49}
Returns: 87.5242750034101
251
{48,123,7,54,40,95,19,24,138,149,224,2,7,7,5,57,108,175,144,6,29,170,11,4,3,191,5,40,23,74,240,6,33,6,7,1,35,5,19,4,10,5,66,62,16,3,46,4,66,44,22,11,2,3,1,6,19,1,37,8,11,24,24,64,1,224,4,5,87,2,27,5,5,86,172,8,2,6,5,143,194,12,2,5,87,1,39,13,11,1,50,2,122,1,6,7,1,101,1,111,5,95,45,1,20,1,9,6,8,15,88,88,3,3,143,157,3,1,7,1,232,4,224,8,1,1,118,4,10,2,24,140,35,3,41,5,8,3,110,19,1,2,29,12,4,20,1,27,7,1,1,1,3,2,124,203,35,3,8,171,8,72,1,1,19,14,1,75,190,221,244,16,101,23,55,4,36,7,2,66,15,26,8,1,2,109,1,3,13,14,42,1,10,1,3,3,187,71,61,19,13,68,1,53,13,7,69,62,184,35,100,29,2,10,6,3,1,45,215,7,1,99,4,46,62,48,2,4,10,71,46,39,25,7,23,1,157,8,3,59,2,16,9,6,62,19,1,115,197,1,167,3,1,3,58,150,74,96,2,14,41,1,165,8,204,31,4,103,2,40,218,1,4,23,225,9,3,148,8}
Returns: 101.46786375679389
292
{265,269,1,1,42,13,3,254,39,269,150,8,35,13,3,2,14,9,8,205,109,1,3,17,20,62,2,1,7,4,73,3,34,12,187,3,55,12,62,121,1,2,1,4,9,4,22,46,3,3,55,1,19,102,38,1,255,19,45,6,34,5,54,75,7,13,39,4,1,18,2,3,36,79,3,9,189,7,6,9,1,70,216,63,6,159,81,53,15,45,130,3,91,243,1,3,20,131,224,4,58,49,6,161,80,10,1,118,2,13,2,1,40,47,1,1,47,1,100,30,199,1,87,119,123,1,22,122,10,5,1,123,55,124,1,3,3,4,17,8,281,19,6,7,33,58,175,186,5,82,11,265,1,3,5,233,19,56,129,102,3,39,2,235,214,35,35,7,66,27,28,41,25,85,45,36,5,1,25,18,42,8,161,11,12,7,112,7,14,6,286,4,43,22,6,5,53,22,22,11,1,9,1,11,2,230,230,42,15,231,99,3,91,3,6,4,4,29,21,3,24,1,6,124,8,6,38,46,21,12,22,1,1,10,49,3,191,53,1,259,4,1,177,14,7,4,5,3,230,11,34,110,21}
Returns: 91.52200816720926
259
{15,1,2,130,165,19,1,13,11,6,2,251,1,8,6,9,108,96,15,46,42,162,111,44,5,35,128,158,17,110,5,17,5,4,4,50,66,35,2,2,79,57,21,39,24,38,64,158,5,207,1,72,3,16,44,27,2,192,1,61,114,71,1,1,120,4,61,1,2,9,4,41,3,10,7,38,12,20,55,7,23,9,14,2,1,10,2,106,2,2,189,1,1,72,19,16,37,8,5,233,59,142,10,41,235,1,5,9,72,1,4,1,26,46,1,129,180,4,138,9,8,8,24,24,238,1,2,74,93,86,13,2,47,91,52,2,7,6,4,5,221,3,13,1,190,1,1,4,125,3,9,5,5,10,2,75,11,51,2,10,1,230,85,9,36,252,2,10,31,11,18,10,152,105,4,241,149,1,1,1,73,42,3,28,1,6,122,6,1,4,122,19,2,117,47,1,225,1,209,2,9,4,31,8,2,1,140,6,85,13,135,108,1,178,3,71,163,22,5,13,2,21,128,13,240,22,2,4,5,3,39,249,2,18,3,66,21,18,1,117,36,31,20,2,5,5,182,3,81,8,158,2,2,2,106,1,17,4,119,21,4,54,1,1,2,2,3,8,1,9,1,21,209,2,7,3,207,9,22,2,5,8}
Returns: 100.93865739395993
253
{75,3,2,144,101,10,47,4,24,214,201,2,1,1,11,2,231,2,4,6,135,5,20,5,44,41,110,21,90,5,47,145,27,28,3,2,4,233,3,17,1,8,8,26,75,2,143,203,117,86,40,47,19,14,215,7,30,3,9,27,246,2,1,31,18,3,15,2,115,3,20,15,37,4,172,191,40,6,1,209,15,27,4,63,28,1,1,49,1,98,4,2,7,17,209,22,8,49,6,87,2,11,24,25,12,186,12,29,8,3,1,246,20,17,46,11,3,1,6,1,2,4,20,24,3,1,48,37,187,2,47,80,2,7,3,11,8,4,182,54,193,29,38,5,34,7,5,1,228,2,5,78,22,133,34,116,116,22,232,211,1,12,6,3,11,4,3,9,1,4,42,8,1,31,25,20,50,1,4,2,13,7,102,31,2,4,6,108,233,61,23,78,1,6,252,28,144,72,37,2,12,203,35,1,15,73,220,224,19,146,1,1,44,3,102,3,1,18,13,120,5,70,6,207,39,3,2,86,2,52,15,26,38,43,2,17,2,16,65,177,29,36,9,103,227,121,18,5,21,5,25,16,19,68,33,16,41,1,54,24,103,3,38,1,84,10,68,2,131,97,1,21,2,3,57,2,2,1,231,170,1,24,1,50,14,38,61}
Returns: 109.6353675114892
271
{8,3,2,16,4,76,105,8,17,11,175,94,6,82,66,16,242,121,7,79,1,105,1,10,5,2,1,19,4,85,91,29,23,1,228,7,1,262,9,80,24,143,4,208,9,77,9,27,7,4,12,121,188,4,2,203,15,1,5,3,21,65,3,2,42,2,1,164,1,2,97,209,34,5,231,196,22,65,144,128,14,79,4,29,113,6,20,136,26,217,7,6,7,59,4,1,1,140,5,149,5,1,35,17,30,3,2,1,5,114,57,5,1,37,1,30,7,5,10,51,161,42,1,86,1,26,9,219,153,102,151,23,16,2,7,189,215,35,11,47,236,5,27,73,255,32,1,2,92,25,13,19,16,21,68,6,91,43,1,76,125,15,13,2,113,14,1,1,25,10,3,17,1,9,21,17,4,16,40,107,2,19,38,56,2,2,60,1,45,185,1,2,8,46,1,20,105,39,7,1,1,1,23,39,11,20,14,1,4,109,79,8,1,119,4,60,100,1,1,3,11,2,1,15,2,10,32,7,12,5,17,1,123,5,1,19,7,109,95,6,8,120,1,107,220,1,2,5,163,33,36,47,3,46,11,3,15,209,15,2,20,35,130,34,11}
Returns: 92.5836949743043
286
{2,3,44,21,78,14,55,56,86,56,228,6,109,6,64,23,2,50,203,26,1,6,2,8,60,13,9,18,7,64,52,1,116,97,43,8,2,2,184,56,1,8,3,46,215,13,143,29,103,9,68,228,201,2,3,13,2,239,142,2,14,21,5,4,42,63,144,3,3,87,1,100,39,3,276,1,15,8,2,1,5,3,18,144,85,130,2,64,13,7,8,5,182,176,2,136,101,2,3,1,159,2,175,2,21,175,96,7,22,17,2,243,155,8,96,4,79,23,4,48,1,123,90,39,26,100,21,185,74,128,1,15,15,155,4,1,7,2,2,22,200,7,17,1,123,8,2,96,73,4,3,2,4,4,12,88,91,1,100,183,81,2,9,20,5,1,92,112,119,4,11,150,68,23,1,51,2,6,1,3,277,7,73,7,40,101,3,1,2,13,1,13,74,32,53,45,19,14,28,5,50,17,10,4,4,3,70,13,10,43,26,274,1,11,24,14,16,10,1,55,14,5,1,2,4,52,29,56,3,6,1,2,51,1,15,10,2,16,185,6,203,113,5,1,1,14,3,1,62,190,4,6,1,201}
Returns: 87.41649182583826
268
{91,37,13,65,27,94,10,20,1,14,17,13,73,3,2,162,5,11,55,112,1,2,34,2,17,114,56,19,2,86,22,2,7,66,6,8,75,224,42,13,1,211,119,47,67,1,3,1,123,22,1,1,113,25,31,2,161,3,109,73,124,15,3,159,2,69,2,2,10,4,83,43,112,78,20,21,1,1,6,45,84,5,21,27,70,122,49,3,167,66,166,25,1,4,30,3,152,33,2,12,135,46,12,6,19,134,85,262,219,24,71,73,2,50,1,1,257,20,3,2,38,3,80,201,11,44,121,116,39,11,11,1,18,119,4,53,28,4,84,240,18,61,43,65,12,49,111,5,241,80,64,1,119,1,48,262,18,16,7,5,94,31,3,172,5,31,5,4,15,143,33,3,2,1,121,1,1,22,35,3,1,1,13,23,29,15,9,117,202,151,15,83,36,8,28,2,19,54,46,66,10,16,23,7,17,1,11,84,6,9,199,220,53,106,3,224,5,2,23,107,51,133,8,1,8,15,6,204,1,95,53,150,17,1,21,256,59,5,148,2,76,1,29,1,2,1,20,3,135,2,6,117,6,171,2,20,26,1,6,43,9,52,181,1,2,2,170,12,41,142,8,4,6,1,25,9,7,217,139,22,5,1,3,1,11,191,9,169,21,1,36,117,28,93,42}
Returns: 114.17266859988767
252
{125,10,12,28,161,3,2,2,3,1,22,20,5,6,54,5,10,5,62,12,10,25,44,3,4,25,68,63,148,59,119,53,48,12,2,2,1,27,7,12,104,28,11,1,54,12,5,6,5,10,20,41,144,3,2,2,25,4,2,4,1,8,43,7,124,20,21,5,2,87,1,49,103,1,1,37,1,3,6,82,2,193,81,13,20,96,29,83,16,3,2,1,2,13,123,9,104,1,58,214,58,4,2,1,49,87,109,154,89,17,4,17,2,28,3,89,2,10,84,2,23,4,21,7,61,1,184,20,1,11,192,9,7,3,7,198,114,13,25,176,12,38,1,15,5,22,64,1,7,2,22,13,51,124,5,2,17,147,83,1,1,177,16,3,68,13,15,2,3,45,9,5,26,3,6,129,10,95,139,156,137,2,76,2,1,7,1,26,82,42,3,1,22,30,1,29,12,5,80,64,224,171,11,4,161,3,16,2,27,117,141,57,11,79,30,12,39,70,17,2,217,219,41,22,2,118,2,13,16,142,2,55,107,3,183,2,31,3,1,56,92,12,20,1,14,178,136,13,1,41,1,4,170,123,3,8,1,8,2,4,22,87,66,17,2,4,33,3,215,2,3,13,138,95,1,1,11,54,78}
Returns: 94.79662511781399
270
{10,134,1,84,30,86,99,93,16,90,115,3,54,90,232,53,51,6,5,3,2,144,121,21,259,2,6,2,8,102,6,44,22,2,22,171,24,95,101,2,29,2,18,11,12,35,19,4,28,55,5,27,7,17,2,115,10,34,2,19,12,1,33,19,13,5,142,2,14,76,5,1,171,45,16,20,5,1,26,192,9,20,20,136,39,174,114,104,104,104,62,12,1,4,10,84,7,2,152,2,128,6,93,18,15,1,21,1,17,74,3,7,134,118,7,87,227,11,11,8,9,43,29,250,76,2,11,2,9,22,246,22,80,23,4,102,10,21,92,2,1,10,1,4,13,46,3,1,3,3,7,11,1,77,80,74,4,90,263,3,3,39,2,6,72,9,2,35,7,59,232,3,39,14,11,11,108,115,55,2,5,267,3,4,1,121,265,54,29,1,7,2,11,7,5,25,1,14,129,20,5,19,40,6,1,22,158,28,41,1,3,4,37,70,8,2,2,9,2,153,40,2,2,1,88,5,151,45,231,1,5,114,14,70,1,95,66,1,70,159,55,2,18,6,23,1,14,18,3,20,3,75,50,88,12,21,3,6,45,2,104,4,52,23,49,3,65,2,3,1,1,12,2,1,26,2,2,6}
Returns: 91.1716563272088
279
{266,19,256,85,24,225,28,7,7,30,181,159,131,133,153,139,165,209,256,148,99,277,146,2,1,1,1,95,102,54,31,5,85,172,87,231,66,9,97,95,83,1,4,39,120,1,230,168,24,93,195,66,68,77,1,95,14,45,39,119,2,136,64,4,22,11,205,224,9,216,5,134,54,64,186,215,36,16,3,84,110,138,4,2,155,127,6,185,38,43,206,40,167,217,84,59,205,48,13,2,185,29,155,1,37,5,3,121,114,75,68,2,6,12,1,9,2,183,15,62,12,1,25,82,55,116,202,6,135,21,72,2,11,242,4,143,135,258,63,124,71,1,98,1,143,248,63,232,18,134,50,193,7,220,30,187,115,5,137,173,86,1,40,1,157,40,16,252,31,8,193,112,35,161,114,275,57,6,11,165,7,169,31,199,3,6,199,4,278,234,230,2,46,200,163,173,185,1,180,127,123,81,11,91,56,1,9,86,140,24,138,101,70,168,148,60,62,1,129,16,184,277,65,214,85,255,108,171,36,131,1,177,137,194,65,67,98,53,251,1,29,1,252,243,68,64,47,14,65,26,93,125,226,25,113,5,273,96,265,143,209,41,248,246,84,85,86,46,4,126,243,1,3,88,91,70,236,185}
Returns: 195.51296028461098
270
{162,8,37,145,124,18,264,64,1,62,5,2,61,147,6,42,1,211,88,82,4,160,154,77,95,1,12,1,38,6,27,60,8,36,50,244,66,121,1,153,6,75,18,7,39,24,228,30,176,238,81,209,209,208,19,5,1,110,10,46,182,222,4,115,148,64,37,112,14,192,264,222,7,122,1,5,66,17,106,17,9,11,8,169,81,85,41,160,85,4,38,152,31,21,241,21,3,95,263,171,3,257,72,9,78,1,175,81,29,38,245,122,227,20,222,4,10,25,15,1,209,88,25,5,6,40,24,16,1,1,53,6,182,160,12,63,1,74,120,249,6,10,3,3,135,185,16,40,252,16,57,194,174,122,97,38,242,82,66,148,2,118,151,96,183,26,246,1,69,1,4,217,44,58,44,21,7,179,32,15,78,11,189,229,32,89,86,267,26,198,21,96,255,225,46,155,245,11,112,7,10,243,165,268,25,175,1,74,1,254,189,14,198,223,5,1,241,222,2,94,92,255,163,198,83,124,51,200,16,234,10,125,225,155,34,51,178,129,1,79,52,66,204,172,2,69,15,27,253,1,171,34,198,12}
Returns: 173.65736498427535
282
{90,1,59,201,1,69,169,1,152,193,255,109,143,105,190,31,234,1,59,64,189,28,57,64,53,151,42,215,15,205,61,1,39,14,18,148,29,22,16,1,216,228,83,2,1,75,39,47,275,280,1,46,83,193,4,222,1,133,27,9,38,133,63,238,1,25,42,11,18,10,233,159,180,1,165,133,184,70,28,16,84,171,25,1,34,257,80,52,32,184,112,1,16,203,46,198,109,43,9,71,2,1,75,157,94,157,228,1,144,157,192,262,13,158,18,13,230,78,243,187,30,38,7,86,9,212,136,43,154,163,235,80,11,2,54,22,77,57,5,1,68,145,250,30,1,1,83,14,116,1,245,1,3,90,212,199,5,277,219,1,38,181,17,11,59,2,10,2,1,2,3,3,12,95,4,235,63,274,1,61,17,148,4,38,238,27,58,11,10,153,22,126,227,50,257,1,173,18,4,15,162,1,101,1,239,233,1,92,49,13,113,2,34,114,223,249,39,18,27,37,37,146,227,172,55,113,192,1,1,137,51,15,225,23,101,113,101,109,79,6,184,161,30,281,70,30,78,53,249,1,97,1,104,139,96,142,45,42,227,216,263,1,36,64,213,192,83,10,19,7,1,46,12,179,87,3,39,75,104,45,141}
Returns: 180.11157446208534
299
{144,3,250,64,76,17,138,236,1,185,40,144,220,9,28,202,112,42,258,5,20,181,279,164,197,16,2,93,1,39,80,95,132,179,115,106,27,101,232,236,177,86,10,71,131,76,277,88,66,76,1,1,14,51,187,4,147,127,38,87,22,56,130,15,44,1,256,231,246,68,36,29,87,1,286,1,151,3,165,86,62,13,1,4,2,14,51,217,100,60,102,83,253,187,280,20,279,247,211,16,111,295,20,3,69,244,154,1,171,47,166,114,1,13,67,165,253,7,97,21,139,259,146,137,27,44,13,83,295,6,108,1,24,294,152,7,104,294,188,24,3,218,217,2,66,176,290,2,15,1,195,73,9,34,29,252,280,16,4,156,97,250,15,115,144,12,1,1,41,228,3,2,95,3,127,78,180,33,5,212,56,87,267,23,224,91,286,198,152,141,56,20,113,60,32,86,2,79,87,264,144,160,69,77,71,36,103,146,41,63,39,20,99,246,194,1,13,1,136,131,218,238,6,53,52,6,10,41,1,89,1,198,249,55,18,55,20,228,41,289,119,272,3,55,20,43,10,7,93,15,98,214,162,92,2,155,53,200,1,33,77,60,28,245,13,222,7,4,243,1,119,158,210,19,31,211,224,18,1,120,104,111}
Returns: 192.1426249672391
251
{66,218,119,77,21,10,126,192,4,226,8,37,14,67,59,210,222,22,174,1,31,2,2,6,249,1,1,171,2,170,170,1,5,1,240,1,8,146,24,100,204,111,17,28,218,30,42,13,87,108,44,240,1,47,98,16,8,159,9,79,244,46,123,213,116,18,208,26,27,120,41,79,204,112,134,206,111,171,107,143,3,11,14,44,209,69,42,73,186,1,179,50,45,5,1,26,148,208,196,100,163,10,19,35,46,18,46,162,85,21,28,228,60,1,8,230,4,38,110,50,69,61,217,50,46,30,1,2,46,32,67,12,87,1,65,9,26,2,14,230,12,77,3,151,19,42,2,56,1,50,1,17,13,13,43,124,70,133,116,77,1,15,118,3,184,14,154,56,72,37,104,57,35,125,77,105,151,226,228,7,182,39,61,5,21,16,1,87,159,22,54,72,120,232,161,19,72,10,227,6,226,73,89,182,9,12,149,119,42,52,15,183,209,36,92,45,9,1,10,1,1,84,1,166,79,40,30,236,2,224,29,2,57,221,89,37,72,21,19,10,36,117,103,41,1,38,194,5,178,133,30,10,34,1,44,106,164,222,107,40,94,85,29,132,38,247,1,206,97,44,3,39}
Returns: 172.20248383097123
277
{224,94,32,224,71,203,1,188,20,1,178,1,176,129,77,136,249,103,1,7,9,251,213,54,199,136,194,16,23,33,78,1,1,274,1,164,24,109,1,3,231,154,36,11,66,1,1,1,104,101,153,118,1,33,221,237,15,144,215,106,22,18,13,182,121,40,116,46,196,38,160,1,30,118,20,39,59,76,39,16,151,148,42,16,26,83,15,165,212,1,3,269,1,223,23,1,171,3,44,6,270,38,154,212,221,6,51,93,42,91,2,106,218,28,219,197,9,238,203,1,13,61,8,236,276,37,5,1,90,251,1,241,68,1,154,103,168,30,8,222,215,160,19,119,5,89,148,212,63,70,61,248,2,123,189,1,93,1,1,116,91,1,48,7,273,3,41,109,123,4,14,44,1,1,140,82,41,123,84,22,130,3,34,8,80,8,1,212,137,204,99,100,4,17,5,227,6,102,4,20,147,95,267,42,1,7,96,233,185,10,228,193,21,184,56,231,225,241,85,98,146,129,8,115,275,75,67,15,7,150,57,184,195,61,241,196,49,3,3,201,156,148,30,99,24,90,127,187,10,268,1,13,81,6,1,73,26,169,92,243,35,62,38,104,1,1,57,3,3,4,84,3,117}
Returns: 183.46212396881938
289
{173,5,5,78,31,133,45,88,124,274,104,31,35,133,225,179,37,12,127,1,88,21,25,168,228,266,136,94,104,45,213,56,129,119,20,214,11,149,62,1,145,44,22,93,27,117,217,56,105,69,25,217,155,33,262,7,60,90,256,128,9,197,238,1,1,40,1,1,32,213,9,22,62,99,207,12,52,22,66,155,228,151,1,64,43,4,36,80,2,10,19,276,110,78,244,16,53,13,160,13,209,10,222,265,206,235,3,94,157,8,251,222,14,212,1,42,1,1,4,1,204,3,3,24,187,200,194,1,24,10,54,239,35,251,16,244,62,107,268,276,121,79,233,89,27,13,1,106,1,230,24,6,45,1,5,28,26,7,105,173,123,61,51,214,74,22,58,2,141,80,129,5,87,94,180,98,123,133,83,114,5,81,91,215,44,180,93,9,1,73,149,8,102,155,85,2,206,68,125,245,1,240,24,186,138,17,17,194,1,5,24,104,40,46,256,10,199,100,162,13,46,13,140,25,148,163,209,18,194,17,131,235,130,90,54,121,24,2,243,37,1,6,31,183,45,208,82,218,179,277,1,279,23,1,1,214,238,5,77,8,3,17,237,79,27,12,15,48,242,49,57,254,4,247,191,30,196,221,108,43,42,74}
Returns: 189.8836118667716
296
{179,61,38,188,45,63,1,152,9,1,97,32,23,6,94,25,1,132,162,114,115,63,41,1,248,2,261,11,1,53,19,192,201,2,165,1,288,84,81,215,1,2,5,26,233,2,87,103,5,6,71,152,12,1,129,252,80,272,36,12,161,147,1,140,13,104,51,91,117,285,106,285,65,12,291,57,266,33,16,107,43,229,246,268,82,195,3,10,18,17,91,70,4,23,21,156,206,129,102,139,7,1,2,78,1,1,58,130,137,2,115,167,53,177,172,236,3,246,1,32,241,163,16,29,1,89,154,87,8,23,114,123,33,163,24,147,225,2,226,239,172,3,225,289,192,1,105,113,77,66,185,250,8,19,33,39,1,5,152,31,1,25,47,37,3,276,39,157,65,74,11,55,133,114,176,55,221,207,23,124,152,6,80,199,82,188,128,10,174,216,73,105,99,7,272,67,6,20,1,1,117,151,88,86,23,45,67,20,219,10,165,3,180,186,167,128,62,1,136,292,70,1,4,15,79,1,42,148,117,88,50,190,210,247,18,32,138,5,70,214,35,6,1,6,159,45,84,80,218,12,108,100,35,251,104,143,117,236,244,32,16,8,27,1,203,234,291,225,26,3,226,8,173,7,45}
Returns: 180.35442656476556
282
{17,139,235,143,130,145,106,43,78,7,108,72,34,36,1,54,17,66,25,31,5,22,81,8,1,159,49,34,175,2,2,63,52,52,259,1,98,242,1,2,88,278,73,81,8,152,222,1,14,58,37,11,14,5,110,112,13,1,241,12,91,233,164,180,59,1,207,1,2,102,1,1,141,255,177,7,53,3,163,251,131,27,92,118,31,1,12,1,199,24,22,148,9,14,10,115,15,222,96,135,6,114,120,238,4,162,1,31,172,168,161,5,42,243,161,211,7,6,21,230,139,15,157,6,217,28,173,5,14,264,203,1,58,168,22,139,12,28,126,29,262,101,1,1,112,38,26,175,269,132,1,24,1,227,210,62,2,194,169,2,249,5,25,127,134,8,5,4,86,27,31,119,105,136,1,225,174,87,66,7,280,132,90,29,118,88,39,89,48,84,42,75,91,2,265,35,275,17,238,47,18,2,31,34,20,21,27,170,3,8,1,201,253,251,136,1,21,118,36,74,127,44,19,115,252,25,279,212,117,143,190,10,41,145,120,64,134,182,138,40,185,206,255,40,245,9,1,61,17,271,107,20,45,147,4,278,155,40,87,67,2,233,170,163,144,40,88,199,33,37,115,44,39,89,120,169,76,78,72,1,29,16,27,69,63,166,142}
Returns: 187.62252534079514
292
{101,2,279,4,47,255,80,179,266,35,283,13,28,53,1,3,24,14,97,2,8,131,1,209,151,221,138,1,60,261,176,23,114,153,162,37,171,46,143,2,222,37,60,210,5,64,212,278,268,1,8,52,34,215,115,3,20,3,88,74,44,37,151,144,131,1,24,259,137,12,24,109,13,17,20,103,112,201,107,118,97,83,34,89,75,7,152,270,82,124,109,29,3,166,275,1,132,240,225,91,18,94,25,94,1,68,132,9,11,1,150,174,132,51,1,211,182,179,69,158,59,84,2,18,111,6,124,120,234,214,64,113,92,40,7,48,8,8,5,63,105,5,142,127,259,210,101,42,140,143,210,29,272,5,1,64,3,244,37,7,144,43,238,161,76,223,77,1,122,284,102,67,164,269,260,274,8,2,143,71,1,67,38,92,289,25,93,141,281,17,1,29,104,156,31,63,225,156,3,60,18,78,248,153,223,143,170,199,50,38,29,130,5,49,22,231,131,142,174,97,6,183,10,13,79,194,227,14,124,12,1,16,115,156,144,132,238,143,121,6,40,203,23,103,24,213,232,9,191,85,24,40,68,104,8,150,41,57,111,93,104,128,7,184,263,170,13,96,2,75,181,7,3,1,51,86,56,217,5,241,123,47,90,201,104,23,267,6,203,169,141,113,1,27,257}
Returns: 207.01805406937316
276
{258,184,135,259,45,241,80,250,123,227,261,34,10,106,135,226,112,49,104,238,123,262,70,102,266,222,230,24,45,67,74,21,1,190,150,69,205,24,36,135,54,121,64,188,174,163,255,156,162,140,137,182,96,50,95,148,64,232,249,187,85,178,42,207,192,25,139,162,49,110,229,111,85,236,260,192,254,161,186,65,150,151,113,245,233,192,215,147,266,233,10,112,100,243,146,14,129,232,142,245,79,24,173,189,255,100,16,190,224,183,220,276,96,15,266,199,149,53,174,270,55,52,109,65,63,150,65,152,144,90,47,89,20,139,183,217,253,72,167,20,192,126,82,231,180,249,221,173,62,258,173,260,98,272,229,158,20,13,29,52,21,226,211,126,75,30,14,204,199,113,138,94,155,271,214,207,31,195,210,169,150,249,95,72,41,218,231,166,153,234,198,181,240,66,233,173,46,205,53,153,110,10,173,140,102,274,80,72,1,192,150,205,251,49,176,15,226,145,217,237,89,249,111,268,262,43,273,156,167,42,88,249,271,220,57,226,176,158,136,31,38,228,167,248,191,166,95,144,162,179,108,9,202,104,130,100,185,276,228,81,91,207,95,9,13,20,104,192,88,264,276,75,271,39,91,213,174,188,55,273,93,166,118,17,238,166,206,94}
Returns: 308.5265977890898
298
{101,74,148,198,265,274,159,158,11,273,270,190,4,43,18,120,126,43,153,217,13,57,177,145,208,132,213,91,86,20,255,252,112,204,147,296,185,206,252,277,284,24,237,204,62,16,180,286,172,116,26,78,77,244,213,294,76,238,217,17,124,287,74,242,133,82,294,101,239,88,48,54,26,89,266,102,254,289,125,254,113,65,74,195,134,90,103,164,262,210,147,293,280,162,269,263,224,9,61,172,33,121,5,190,62,40,141,257,54,144,18,57,137,212,136,13,114,253,37,250,233,228,223,217,201,158,223,86,138,121,147,264,210,178,43,200,214,239,90,177,8,12,57,231,271,164,119,138,53,223,191,113,176,275,184,202,56,63,106,255,75,209,38,4,158,222,161,136,230,185,292,94,205,122,74,285,278,167,277,78,225,267,189,153,167,11,27,120,237,8,220,295,25,205,99,241,266,213,238,15,178,208,167,246,20,127,95,225,226,128,70,220,150,175,133,173,14,212,223,115,245,131,105,278,69,148,179,297,78,74,205,200,30,266,125,231,9,282,87,72,235,226,75,12,71,168,217,98,67,104,231,291,28,5,109,67,173,220,72,60,100,45,293,83,214,295,102,227,16,30,72,41,2,83,104,99,113,89,121}
Returns: 284.82102357224824
281
{136,47,170,196,227,48,136,39,256,45,59,102,198,154,103,139,46,255,187,23,209,22,194,183,112,68,47,109,151,241,98,141,101,65,67,272,259,46,107,235,3,260,144,197,89,185,5,123,190,24,63,185,59,122,225,28,263,49,45,131,25,111,173,7,206,89,29,212,112,209,246,153,121,17,19,176,126,162,60,35,226,30,250,87,76,224,105,12,39,94,246,136,241,267,47,76,268,226,179,257,85,169,204,104,26,165,95,112,219,110,110,145,16,157,252,45,104,260,267,247,263,147,275,49,41,10,22,13,83,94,201,17,22,59,62,51,229,232,152,163,175,28,69,22,170,212,172,230,29,129,160,109,130,27,178,159,54,268,192,157,144,84,25,161,41,170,52,107,274,124,55,168,163,257,220,35,278,98,32,139,262,236,250,174,223,31,45,193,267,67,208,244,187,163,34,235,216,117,57,270,102,212,252,155,132,244,179,109,17,54,8,105,53,122,156,17,275,217,258,133,39,104,250,171,55,145,206,211,40,27,35,215,96,76,90,78,137,176,172,253,51,122,177,72,77,261,228,14,80,26,134,279}
Returns: 244.41722626009243
277
{86,268,67,46,173,134,207,132,226,6,58,134,142,185,170,160,137,14,185,249,44,118,42,272,105,115,195,226,276,237,136,216,182,246,61,213,202,128,266,142,36,41,235,258,115,65,81,43,32,267,134,189,116,213,20,26,157,111,200,163,246,255,211,156,70,155,176,136,257,175,250,82,48,207,166,135,176,253,93,114,177,20,52,6,171,45,153,216,179,224,90,111,197,62,143,103,139,34,42,116,7,262,150,95,217,257,110,252,130,38,25,238,36,266,39,110,122,24,166,257,128,115,68,64,88,46,176,195,162,178,257,215,258,39,11,25,78,222,46,176,50,39,238,152,101,134,259,251,112,142,52,128,84,175,137,272,71,267,70,134,105,92,48,117,42,196,102,186,126,82,120,231,143,148,155,107,241,23,29,237,119,8,274,64,7,111,26,185,119,90,152,139,179,5,270,162,136,45,41,257,226,45,62,194,136,31,175,200,68,110,17,176,189,56,97,40,114,98,31,223,269,108,215,34,126,239,104,233,1,151,210,190,21,76,56,3,114,253,64,50,197,29,83,228,186,62,145,156,219,66,249,33,115,256,160,68,243,91,187,99,61,43,190,72,251,41,11,253,40,147,168,203,253,3,230,152,157,214,37,264,256,151,167,123,27,208}
Returns: 284.8773421205398
274
{247,113,8,104,165,159,36,63,252,202,17,265,175,191,217,8,267,112,246,27,217,38,251,208,25,120,259,248,214,123,210,195,169,25,68,261,71,252,235,123,252,125,32,128,195,19,141,269,225,179,247,214,241,167,189,154,133,247,55,92,160,78,110,159,180,18,242,253,247,83,82,88,107,126,200,264,17,86,96,161,193,7,169,9,146,26,162,127,225,42,131,263,31,107,113,182,237,196,145,46,17,172,249,83,65,51,129,22,151,111,43,4,11,224,169,216,266,271,147,199,54,79,60,84,236,62,110,156,63,90,116,19,151,157,206,188,218,35,163,148,199,54,198,251,122,183,271,20,143,86,264,182,64,58,263,104,238,69,89,112,19,152,64,74,47,233,105,165,12,239,253,136,162,65,189,9,12,49,74,243,127,24,222,219,113,209,94,27,168,237,151,135,127,41,46,176,187,189,254,81,36,105,269,11,174,227,195,1,9,203,178,79,23,260,199,62,196,42,102,261,45,163,37,85,253,252,70,146,3,165,119,175,26,144,103,10,28,93,243,122,131,176,111,214,15,9,156,78,135,167,252,253,158,150,101,192,90,264,260,67,192,106,136,245,238,235,119,39,144,213,108,82,101,110,168}
Returns: 281.5691948310845
295
{30,35,123,167,80,144,199,160,23,165,98,34,36,274,228,192,107,24,217,152,192,26,36,142,172,129,114,277,108,24,27,87,272,19,102,182,109,63,284,88,218,26,118,205,210,55,231,15,262,192,153,214,55,295,116,191,211,116,75,60,167,163,239,75,259,67,129,231,182,41,90,224,138,202,169,41,145,98,254,179,30,147,233,166,83,284,240,12,281,67,73,228,233,46,262,107,254,9,105,162,257,209,271,277,7,286,59,34,260,53,291,1,274,110,15,133,20,150,219,167,136,48,249,270,281,27,41,271,115,72,282,249,14,156,259,169,201,74,229,18,126,163,81,179,97,89,234,125,6,243,97,229,178,178,64,249,198,172,65,252,291,280,123,125,79,113,161,12,48,164,186,182,157,110,282,129,234,214,218,181,76,252,19,269,2,82,28,88,35,21,222,244,239,227,190,141,79,142,72,149,244,274,262,89,121,286,183,112,31,244,111,292,17,209,172,47,258,199,237,94,34,197,194,164,152,103,265,152,18,291,51,93,33,286,199,136,96,193,203,186,98,41,213,108,189,82,207,55,161,206,185,98,140,249,234,120,116,23,207,136,248,220,175,192,64,181,167,125,13,160,48,127,25,119,97,186,61,39,213,269,95,173,108,130,177,110,237,68,221,22,284,12,39,97,70,125,14,55,89,281}
Returns: 300.8335378681391
278
{167,5,3,187,158,69,62,180,272,149,143,19,50,272,91,151,61,125,142,113,108,108,61,73,276,120,113,190,202,252,24,24,99,233,152,181,36,276,263,107,179,222,212,221,183,89,6,163,233,111,35,159,28,256,217,156,228,209,116,88,1,53,61,245,19,278,258,87,224,264,56,204,210,145,168,273,40,263,254,106,90,250,188,65,154,127,224,127,257,110,64,84,18,258,132,154,108,2,118,207,137,211,119,222,151,107,79,99,94,201,198,111,16,33,70,50,183,160,208,123,49,55,264,249,89,244,266,86,268,194,238,69,128,29,266,142,262,258,227,78,26,135,118,252,74,175,162,156,49,69,262,141,221,275,230,193,167,41,100,90,191,133,93,196,244,126,149,10,119,235,84,57,145,230,133,112,106,213,254,106,103,193,70,180,72,267,194,43,103,24,48,95,47,211,74,43,159,17,32,113,9,141,133,88,86,45,11,87,173,60,37,56,246,141,272,177,137,95,187,115,52,136,41,131,133,192,169,188,12,57,248,106,185,202,156,123,84,8,174,264,251,230,37,35,250,7,5,6,74,82,19,84,108,8,7,74,34,33,101,131,204,187,158,170,179,220,77,68,90,179,264,192,248,203,129,12,139,259,77,109,249}
Returns: 279.74141864332904
252
{163,16,233,127,12,75,197,83,55,139,133,229,252,127,186,50,152,70,179,1,113,105,165,46,20,88,37,79,221,37,82,216,205,62,220,117,122,88,200,28,172,158,19,126,88,10,218,73,77,112,119,103,86,11,131,250,88,139,236,65,232,106,241,225,121,94,61,107,97,134,86,90,142,84,30,202,60,153,132,188,238,23,5,5,164,240,69,156,230,206,68,244,68,41,204,68,176,250,123,68,202,246,166,68,152,139,116,106,39,167,34,6,25,71,214,188,6,10,247,109,6,208,114,108,63,138,233,48,44,178,213,56,86,238,55,90,233,47,158,161,224,146,116,46,185,243,168,171,229,74,39,81,150,228,250,106,70,99,230,240,203,97,62,17,182,73,56,108,165,238,220,52,39,168,32,109,220,73,109,101,66,95,88,209,231,223,177,104,149,87,157,161,118,155,131,151,154,54,73,213,192,83,109,90,123,127,104,241,131,53,173,155,122,131,249,130,165,67,24,185,73,72,3,12,18,104,201,94,176,61,107,8,40,234,249,29,92,114,65,242,202,73,22,243,156,152,118,151,17,151,246,246,146,4,81,221,211,41,55,163,252,116,61,52,16,232,110,201,149,121,136,3,104,199,58,33,203,135,121,204,121}
Returns: 283.6536714633544
256
{166,73,45,117,48,214,214,217,159,114,255,103,104,153,214,223,213,242,49,158,147,67,1,177,49,248,220,152,140,5,177,106,20,153,106,166,16,202,112,218,229,178,197,91,186,162,151,213,191,13,36,18,214,99,211,88,52,197,155,28,57,151,214,43,149,27,209,90,144,25,183,242,50,52,117,70,208,233,189,203,126,130,93,193,198,31,149,232,14,203,106,37,233,24,62,203,222,8,148,100,232,36,26,14,87,141,190,73,160,94,253,231,242,75,47,17,120,134,33,193,141,2,225,242,55,236,90,163,177,192,236,91,235,207,240,68,118,4,203,237,114,197,250,253,183,96,70,117,168,5,39,248,195,115,46,130,99,169,65,79,194,141,70,68,181,75,233,252,120,98,2,216,25,138,73,201,39,157,236,58,141,85,194,165,160,45,236,99,184,24,212,13,226,164,176,114,157,36,194,98,201,8,251,201,125,222,179,112,164,225,156,135,234,164,81,116,201,118,66,207,41,108,39,89,106,104,131,179,100,135,62,20,76,60,195,199,84,19,188,64,35,115,203,169,90,256,133,112,174,59,63,252,47,185,30,208,220,236,83,178,164,204,82,14,151,194}
Returns: 283.27101680737087
266
{39,52,104,176,252,168,254,152,238,2,192,18,239,209,124,187,248,187,90,74,219,187,24,166,138,70,170,228,107,175,82,147,142,224,48,134,199,175,239,175,212,187,136,151,206,190,229,48,155,176,78,52,37,193,158,21,175,67,52,3,96,98,266,74,174,82,104,130,238,215,83,205,163,200,148,117,58,31,230,37,257,193,188,60,79,179,30,63,94,99,88,187,251,2,151,34,262,245,160,254,245,214,144,132,133,228,176,76,218,9,203,35,122,84,54,33,23,123,88,61,4,20,241,192,186,257,150,142,88,170,120,226,93,115,175,180,209,108,30,232,54,40,79,41,26,237,49,227,137,260,141,213,226,114,205,166,189,190,168,199,15,240,172,263,189,117,199,51,210,110,65,111,161,197,138,122,256,242,263,252,255,26,263,59,212,46,123,49,88,233,136,214,161,199,64,144,219,174,122,260,232,178,77,42,193,231,243,175,210,18,69,39,150,254,179,111,191,266,43,15,36,148,73,193,63,40,38,204,89,102,214,80,201,41,113,41,220,218,199,12,231,204,163,63,244,117,41,99,223,27,238,191,42,243,211,260,9,166,237,7,132,8,54,77,25,188,37,90,19,217,186,53,38,227,136,53,252,252,206,212,117}
Returns: 302.87933690416