TopCoder Statistics - Problem Statement

Problem Statement

Risa has n bits. The bits have indices from 0 to n-1, inclusive. She loves toggling the bits at random. (Toggling a bit means switching its value to the opposite one: from 0 to 1 or vice versa.)
Risa repeats a simple procedure when toggling the bits: If all bits have the same value, she is done. Otherwise, she selects a bit uniformly at random and toggles it.
Risa uses a cursor to toggle the bits. If the cursor is currently on bit i and Risa wants to toggle bit j next, she must move the cursor to bit j before she can toggle it. Each step of the cursor takes 1 unit of time. Therefore, moving the cursor from bit i to bit j takes |i-j| units of time. After Risa moves the cursor, she can toggle the bit instantly (in 0 units of time).
You will be given multiple queries. In each query we tell you the current state of Risa's bits and the current position of the cursor. Your task is to compute the expected time until the moment when all bits have the same value and Risa stops toggling them.
You will be given the int n. You will also be given a String[] bits and a int[] pos with Q elements each. For each valid i, the String bits[i] and the int pos[i] form one query. The characters of bits[i] give you the current values of all bits: bits[i][j] is '0'/'1' if bit j is 0/1. The int pos[i] is the current position of the cursor.
Return a double[] containing exactly Q elements. For each i, element i of the return value must be the expected time for the query (bits[i],pos[i]).

Definition

Class:: BitToggler
Method:: expectation
Parameters:: int, String[], int[]
Returns:: double[]
Method signature:: double[] expectation(int n, String[] bits, int[] pos)
(be sure your method is public)

Notes

Each element of your return value must have absolute or relative error smaller than 1e-9.

Constraints

n will be between 1 and 20, inclusive.
bits and pos will contain between 1 and 1000 elements, inclusive.
bits and pos will contain the same number of elements.
Each element of bits will contain exactly n characters.
Each element of bits will only contain the characters '0' and '1'.
Each element of pos will be between 0 and n-1, inclusive.

Examples

1

{"0","1"}

{0,0}

Returns: {0.0, 0.0 }

In each query, there is only one bit, therefore all bits have the same value and Risa doesn't do anything at all
2

{"01"}

{0}

Returns: {0.5 }

If Risa choses bit 0, she will toggle it instantly and the process terminates (both bits are now 1). If she chooses bit 1, she will spend 1 unit of time moving the cursor to this bit. Then she will toggle it and the process terminates (both bits are now 0). As both possibilities are equally likely, the expected amount of time until the toggling terminates is 0.5.
4

{"1000","0010","0011","1010"}

{0,1,2,3}

Returns: {8.9375, 8.5625, 9.75, 10.25 }
20

{"01101111001001001111","01011100001001010111","00000000000000010000","10111111101111111011" ,"11101111111011010100","11111010110000000001","11000000100001100110","11111001010011101100" ,"11111111111111110111","01000011100010001000","01101111110111011111","11110111111111111110" ,"11111111111010110111","00100010000010000010","01000000000010000000","01110011111011000010" ,"11111101110001110111","11010010000000100000","10010101100000101000"}

{7,6,1,1,7,9,0,8,16,16,14,4,9,8,11,3,12,15,11}

Returns: {3695311.183337145, 3695341.038888902, 3486510.5078947134, 3690384.721723784, 3695146.5166465323, 3695333.788886834, 3695264.399989025, 3695310.983335239, 3486508.9763158862, 3695148.3166833473, 3693970.9054913437, 3670001.842105858, 3690381.122961273, 3693970.005510611, 3670000.4482457424, 3695335.888887129, 3694859.0889757653, 3694860.2888290025, 3695260.0000010678 }
1

{"1","0"}

{0,0}

Returns: {0.0, 0.0 }
2

{"00","10","11","00","01","10","01","11"}

{0,1,0,1,1,0,0,1}

Returns: {0.0, 0.5, 0.0, 0.0, 0.5, 0.5, 0.5, 0.0 }
3

{"011","110","010","001","000","100","100","000","101","010","101","001","111","101","010","001","011","011","110","110","111","111","000","100"}

{0,2,1,0,1,1,0,2,2,2,1,2,2,0,0,1,1,2,0,1,1,0,0,2}

Returns: {2.75, 2.75, 2.5, 2.75, 0.0, 2.416666666666667, 2.75, 0.0, 2.8333333333333335, 2.8333333333333335, 2.5, 2.75, 0.0, 2.8333333333333335, 2.8333333333333335, 2.416666666666667, 2.416666666666667, 2.7500000000000004, 2.75, 2.416666666666667, 0.0, 0.0, 0.0, 2.7500000000000004 }
4

{"0001","0010","0111","1111","0101","0111","1010","0011","0011","0011","0101","0101","0001","1100","1111","1010","0100","0000","1100","0000","1010","1001","1111","1001","1101","0110","1010","1000","1101","1000","0111","0110","0101","1100","0000","0100","1011","1000","1110","1001","0100","0011","1101","0100","1011","0010","1011","1110","0110","0110","0001","1001","0010","1011","0010","0000","0111","1111","1101","1000","1110","1100","1110","0001"}

{2,1,2,0,3,1,0,1,0,3,1,2,1,0,2,3,3,0,2,1,2,0,1,3,1,1,1,3,2,2,0,3,0,3,2,1,0,0,0,1,0,2,3,2,2,2,1,2,0,2,0,2,3,3,0,3,3,3,0,1,1,1,3,3}

Returns: {8.4375, 8.5625, 8.4375, 0.0, 10.25, 8.4375, 10.25, 9.75, 10.25, 10.25, 9.75, 9.75, 8.4375, 10.25, 0.0, 10.25, 9.0625, 0.0, 9.75, 0.0, 9.75, 10.25, 0.0, 10.25, 8.5625, 9.75, 9.75, 8.9375, 8.5625, 8.4375, 8.9375, 10.25, 10.25, 10.25, 0.0, 8.5625, 9.0625, 8.9375, 8.9375, 9.75, 9.0625, 9.75, 9.0625, 8.5625, 8.5625, 8.5625, 8.5625, 8.4375, 10.25, 9.75, 8.9375, 9.75, 9.0625, 9.0625, 9.0625, 0.0, 8.9375, 0.0, 9.0625, 8.4375, 8.4375, 9.75, 8.9375, 8.9375 }
5

{"11001","10000","10111","00101","00011","00010","10000","01110","10011","10110","10101","00111","00001","00010","00001","11100","01110","01110","01101","00010","01100","11110","01011","00101","10101","01001","11100","00000","01010","11101","10111","00001","00011","01111","11101","01000","01111","11100","11011","00010","00011","01101","01011","11001","01100","01001","01010","10001","01000","10101","00101","10000","10100","10110","11100","11000","00111","10101","01100","11111","01000","01011","10100","10111","11110","01011","10001","10000","00000","10100","01111","01010","01010","00110","01100","11010","00011","11011","00101","00100","11110","10111","10011","11110","00111","11010","10100","11000","00011","00000","00110","01111","00100","00110","11001","10001","11101","10010","10000","00100","10110","00110","10101","10010","00001","10010","10100","00000","00111","00110","01110","01111","00100","11010","01010","11010","10011","11100","11101","11011","01110","00111","10110","01101","11000","01101","01000","00010","11010","10010","10011","10001","11011","11111","00000","10011","01001","11111","11011","00101","01100","11111","11110","00001","11000","11000","01011","10001","11111","11001","01101","01001","11101","01001","01000","10110","10111","11001","00100","10010"}

{4,1,1,1,4,2,4,0,3,1,2,2,3,1,2,3,1,2,3,4,2,4,3,4,0,4,2,0,4,4,0,1,1,2,0,2,1,0,3,0,2,2,0,2,3,3,1,2,1,3,2,3,0,2,1,3,3,4,4,1,3,4,1,2,1,2,1,2,2,3,3,2,0,3,1,0,0,2,0,4,2,4,2,3,0,1,4,0,3,1,2,0,3,4,3,0,1,0,0,0,0,0,1,1,0,3,2,4,1,1,4,4,1,2,3,3,4,4,3,4,3,4,3,4,4,0,0,3,4,2,1,4,1,2,3,0,1,4,0,3,0,0,0,4,2,1,1,3,3,1,1,0,2,2,4,4,3,0,2,4}

Returns: {28.41875, 23.7125, 23.84375, 27.800000000000004, 28.393749999999994, 23.643749999999997, 24.312500000000004, 28.375, 27.81875, 27.793750000000003, 27.6125, 27.593750000000004, 23.7125, 23.843749999999996, 23.512500000000003, 27.793749999999996, 27.775000000000002, 27.575000000000003, 27.793749999999996, 24.443749999999998, 27.618750000000002, 24.3125, 27.800000000000004, 28.400000000000002, 28.412499999999998, 28.39375, 27.59375, 0.0, 28.412499999999998, 24.443749999999998, 24.44375, 23.7125, 27.79375, 23.512500000000003, 24.443749999999994, 23.643750000000004, 23.7125, 28.393749999999997, 23.887500000000003, 24.443749999999994, 27.59375, 27.59375, 28.400000000000002, 27.61875, 27.81875, 27.793750000000003, 27.8125, 27.575000000000003, 23.84375, 27.812499999999993, 27.6, 23.7125, 28.400000000000002, 27.593750000000004, 27.79375, 27.793750000000003, 27.793750000000003, 28.412499999999998, 28.418750000000006, 0.0, 23.84375, 28.400000000000002, 27.800000000000004, 23.643750000000004, 23.7125, 27.6, 27.775000000000002, 23.512500000000003, 0.0, 27.800000000000004, 23.7125, 27.6125, 28.412499999999998, 27.818749999999994, 27.81875, 28.400000000000002, 28.393749999999997, 23.6875, 28.400000000000002, 24.487500000000008, 23.512500000000003, 24.443750000000005, 27.618750000000002, 23.7125, 28.39375, 27.800000000000004, 28.400000000000002, 28.39375, 27.793749999999996, 0.0, 27.61875, 24.3125, 23.887500000000003, 28.41875, 27.818749999999994, 28.375, 23.843749999999996, 28.393749999999997, 24.3125, 24.487500000000004, 28.39375, 28.41875, 27.8125, 27.79375, 24.3125, 27.793749999999996, 27.6, 0.0, 27.793750000000003, 27.81875, 28.374999999999996, 24.312500000000004, 23.887500000000003, 27.6, 27.812499999999993, 27.800000000000004, 28.418750000000006, 28.393749999999994, 23.84375, 24.487500000000008, 27.775, 28.39375, 27.793750000000003, 28.39375, 28.39375, 28.393749999999997, 24.44375, 23.84375, 28.400000000000002, 27.59375, 27.81875, 28.374999999999996, 23.887500000000003, 0.0, 0.0, 28.418750000000003, 27.793750000000003, 0.0, 24.487500000000004, 27.800000000000004, 28.418750000000003, 0.0, 24.3125, 24.3125, 27.593750000000004, 27.793750000000003, 27.800000000000004, 27.775, 0.0, 27.81875, 27.79375, 28.39375, 23.643749999999997, 27.593750000000004, 24.443750000000005, 28.39375, 23.84375, 28.41875, 23.6875, 28.39375 }
6

{"111001","000011","011110","010100","111010","011111","010000","001101","011111","011100","010101","100011","101110","100101","110101","000101","001110","100010","000001","111101","001001","000000","011000","000011","101001","011111","101101","100000","001010","000011","001001","011101","111111","001011","110100","001100","010011","111010","011000","000100","011010","010101","010000","110010","011110","111011","011110","000101","111111","000010","000110","110101","111110","001011","000101","010011","101010","101000","010000","111011","010000","001000","100101","001011","010001","101101","111101","001111","111000","011010","101011","011001","011101","000000","011110","010110","010010","101101","011100","000100","110001","011100","101100","011101","010100","011101","100100","001011","111001","010101","000110","100111","011101","111000","110111","010011","111011","111101","100100","000010","000100","010100","000100","110010","110111","100000","000111","110000","010100","111101","111001","111010","101011","101100","110110","111110","100001","010110","100110","101110","111000","001011","000000","100111","000100","011011","110110","000011","001111","010000","001110","100101","001000","000101","100100","100001","111000","100011","111100","001110","100001","101010","000110","011110","100010","110000","111011","110001","101000","100011","100111","001010","110111","101111","101011","101001","100111","110110","110010","001010","111100","111111","110111","001101","001001","100000","010000","110011","000010","101000","011010","001101","010001","011111","110100","001101","110110","100111","111111","000001","011001","110000","001110","101100","100110","000010","101111","110100","110101","010011","010010","100001","011000","101010","111011","101010","001000","010001","111101","101110","111000","001100","111100","110100","001111","011011","001111","110001","111100","010010","101000","110011","100111","000000","001000","110111","100000","011011","110011","101111","100000","011000","010011","000100","000000","101001","110010","111101","110101","110110","111010","010001","100011","000000","100000","110001","011010","110001","101100","010110","111011","000101","010111","111110","010111","011001","111110","101001","010111","001110","000010","001100","010110","110010","001110","001101","011111","111110","011000","110101","011011","000110","110000","010001","111100","011100","100011","001010","101011","001001","101100","010101","110101","111010","110110","100101","010110","100010","101111","000001","011001","100001","111110","111010","101101","010001","000001","101110","001111","001000","011100","001100","100100","011010","010010","010010","010100","000010","111001","010100","001000","011011","100001","000111","010111","100110","010101","100100","111000","001010","000111","100010","101010","110001","011011","101111","100100","100110","101000","101011","100010","010110","101111","000111","100010","100101","000011","001001","001011","100101","011000","000110","100011","110000","101001","011010","110011","010011","110010","000001","110100","010111","111001","001010","000110","110011","000001","000011","100110","000111","001111","111001","101110","101001","110011","011111","011110","010111","000101","111111","010101","111100","101000","100110","101101","001100","101011","101110","011101","101010","101101","011001","010010","110000","101100","001101","011100","001100","000111","001001","110100","110111","011001","111111"}

{4,0,3,5,4,5,4,3,0,3,3,4,3,2,2,1,3,3,3,4,0,5,5,3,5,3,2,1,1,2,3,3,5,0,0,5,1,0,3,0,5,5,0,4,2,5,5,5,1,0,1,0,1,1,4,2,1,0,2,3,1,5,1,5,1,4,3,0,2,0,0,1,2,2,0,4,0,5,1,3,3,4,3,0,4,5,2,3,2,2,4,4,1,1,0,5,1,0,0,2,2,1,4,5,1,0,3,5,0,5,1,2,4,4,2,3,2,1,5,0,4,2,0,3,5,1,1,4,5,3,1,5,3,0,4,0,0,1,3,2,1,3,3,4,0,3,4,4,1,2,5,4,4,0,3,1,2,0,3,2,0,3,2,1,4,3,5,1,4,5,1,5,3,4,5,0,3,1,2,1,3,1,5,0,1,1,4,4,5,3,4,5,2,5,0,2,4,4,2,2,3,3,4,1,4,4,2,5,1,1,2,3,0,3,1,5,4,2,0,2,2,1,4,1,1,2,2,1,3,4,5,5,0,4,5,2,4,0,1,2,2,2,5,5,1,0,2,4,2,4,5,4,0,1,0,4,1,0,4,1,5,0,0,0,5,0,3,3,1,5,5,4,4,1,5,3,5,5,1,4,2,4,4,3,0,2,5,1,3,2,5,0,3,2,3,5,2,3,0,3,0,3,3,0,3,4,0,5,5,5,5,1,4,1,0,5,1,0,4,2,4,3,3,2,2,0,1,1,4,4,0,5,5,2,0,3,4,0,0,2,3,4,5,0,2,5,0,5,2,1,1,3,5,3,2,2,1,0,3,0,1,2,3,3,1,2,5,4,4,0,3,4,2,4,2,2,2,1,4,2,2,3,5,4}

Returns: {69.90625, 70.54166666666666, 69.52083333333334, 70.57291666666667, 69.88541666666667, 60.72916666666666, 60.1875, 71.5, 60.72916666666666, 71.5, 71.5, 71.83333333333333, 69.54166666666667, 71.5, 69.57291666666667, 69.88541666666667, 71.5, 69.54166666666667, 59.72916666666666, 60.1875, 70.55208333333334, 0.0, 70.57291666666667, 69.54166666666667, 72.5, 59.729166666666664, 69.5625, 60.0625, 69.90625, 69.54166666666667, 69.55208333333334, 69.54166666666667, 0.0, 72.5, 72.5, 70.58333333333334, 71.83333333333334, 70.55208333333334, 69.57291666666667, 60.91666666666666, 72.5, 72.5, 60.85416666666666, 71.83333333333333, 69.52083333333334, 60.91666666666666, 70.52083333333334, 70.55208333333334, 0.0, 60.85416666666666, 69.90625, 70.57291666666666, 60.0625, 71.83333333333334, 69.88541666666667, 71.5, 71.83333333333334, 70.55208333333333, 59.85416666666666, 59.91666666666666, 60.1875, 60.91666666666666, 71.83333333333334, 72.5, 69.875, 69.89583333333333, 59.85416666666666, 70.54166666666667, 71.5, 72.5, 70.57291666666667, 71.83333333333334, 69.54166666666667, 0.0, 70.52083333333334, 71.83333333333333, 70.5625, 70.5625, 71.83333333333334, 59.91666666666666, 71.5, 71.83333333333333, 71.5, 70.54166666666666, 69.90625, 70.54166666666667, 69.55208333333334, 71.5, 69.57291666666667, 71.5, 69.90625, 69.90625, 69.875, 71.83333333333334, 60.91666666666666, 72.5, 60.25, 60.85416666666666, 70.55208333333333, 59.85416666666666, 59.91666666666666, 69.90625, 60.25, 72.5, 60.25, 60.72916666666666, 71.5, 70.54166666666667, 70.57291666666667, 60.85416666666666, 69.90625, 69.55208333333334, 69.90625, 71.83333333333333, 69.55208333333334, 59.72916666666666, 69.52083333333334, 71.83333333333334, 72.5, 70.54166666666667, 71.83333333333333, 71.5, 0.0, 69.57291666666667, 60.91666666666666, 69.88541666666667, 69.88541666666667, 69.875, 70.54166666666667, 59.85416666666666, 71.83333333333334, 72.5, 59.91666666666666, 70.55208333333334, 69.88541666666667, 70.52083333333334, 72.5, 71.83333333333334, 69.54166666666667, 71.5, 69.85416666666667, 71.5, 69.57291666666667, 69.85416666666667, 70.54166666666666, 69.54166666666667, 60.25, 71.83333333333333, 69.88541666666667, 71.5, 70.57291666666667, 69.90625, 60.25, 60.85416666666666, 69.57291666666667, 71.83333333333334, 69.57291666666667, 70.55208333333334, 71.5, 69.57291666666667, 70.54166666666666, 0.0, 59.91666666666666, 71.83333333333334, 69.88541666666667, 59.729166666666664, 60.85416666666666, 69.91666666666667, 60.1875, 70.55208333333334, 71.83333333333334, 72.5, 69.54166666666667, 60.0625, 72.5, 72.5, 69.55208333333334, 69.90625, 0.0, 60.0625, 71.5, 69.875, 72.5, 72.5, 71.83333333333334, 60.1875, 60.1875, 71.83333333333333, 70.57291666666667, 71.5, 69.89583333333333, 70.52083333333334, 69.57291666666667, 72.5, 60.91666666666666, 71.5, 60.25, 69.875, 59.85416666666666, 69.54166666666667, 71.5, 69.58333333333334, 69.875, 71.83333333333334, 69.875, 69.88541666666667, 69.54166666666667, 72.5, 69.875, 69.89583333333333, 69.55208333333334, 69.58333333333334, 70.57291666666667, 0.0, 60.25, 60.91666666666666, 60.0625, 69.55208333333334, 70.58333333333333, 59.85416666666666, 59.72916666666666, 69.90625, 71.83333333333333, 60.25, 0.0, 71.5, 71.5, 60.1875, 69.57291666666667, 69.88541666666667, 70.55208333333334, 70.54166666666667, 72.5, 0.0, 60.72916666666666, 71.5, 71.83333333333333, 72.5, 71.83333333333334, 71.5, 59.91666666666666, 69.55208333333334, 70.55208333333334, 60.72916666666666, 69.88541666666667, 72.5, 59.72916666666666, 71.83333333333333, 69.55208333333334, 71.83333333333333, 60.85416666666666, 69.91666666666667, 72.5, 71.83333333333334, 72.5, 71.83333333333333, 60.0625, 60.72916666666666, 69.90625, 69.90625, 70.55208333333334, 70.57291666666666, 70.54166666666667, 70.54166666666667, 70.54166666666667, 72.5, 71.5, 69.57291666666667, 69.90625, 70.55208333333334, 72.5, 71.83333333333333, 69.90625, 69.88541666666667, 70.55208333333334, 71.5, 72.5, 70.54166666666667, 60.1875, 60.0625, 71.5, 69.85416666666667, 60.0625, 69.55208333333334, 70.5625, 69.54166666666667, 60.72916666666666, 69.875, 69.54166666666667, 59.91666666666666, 72.5, 70.58333333333333, 69.55208333333334, 71.5, 69.5625, 70.5625, 69.57291666666667, 59.85416666666666, 70.57291666666666, 69.57291666666667, 60.91666666666666, 69.55208333333334, 69.52083333333334, 72.5, 69.55208333333334, 71.83333333333333, 72.5, 70.55208333333334, 72.5, 70.57291666666667, 72.5, 69.875, 71.83333333333333, 71.83333333333334, 70.55208333333333, 60.85416666666666, 69.88541666666667, 72.5, 69.88541666666667, 69.57291666666667, 69.875, 71.5, 59.85416666666666, 71.5, 69.54166666666667, 72.5, 69.875, 69.88541666666667, 71.83333333333333, 71.83333333333333, 70.57291666666667, 70.57291666666667, 72.5, 69.54166666666667, 72.5, 71.5, 69.91666666666667, 72.5, 72.5, 59.72916666666666, 71.5, 69.88541666666667, 70.57291666666667, 70.57291666666666, 69.57291666666667, 70.58333333333334, 60.72916666666666, 70.54166666666667, 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7

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{1,1,5,5,2,4,4,0,1,5,2,2,6,4,3,3,3,2,4,4,0,1,2,6,6,3,0,3,6,1,3,0,5,6,0,0,2,1,1,4,2,1,2,3,2,1,0,2,1,5,4,4,5,1,3,2,0,2,4,6,2,0,4,6,2,6,2,1,1,6,4,6,3,0,5,0,3,5,3,4,6,2,4,6,3,6,6,3,1,0,1,2,5,2,4,6,4,0,1,2,5,6,5,1,5,1,0,5,3,4,2,4,2,6,6,4,5,2,2,1,3,1,0,3,5,3,6,0,4,5,4,3,0,5,1,0,1,0,6,3,3,2,2,2,5,1,5,4,6,5,1,4,6,2,2,1,0,2,5,0,1,6,0,1,4,5,6,4,3,2,6,6,0,1,5,1,3,3,2,4,0,0,4,4,2,5,1,0,0,2,4,3,6,4,2,6,5,1,0,3,1,3,0,5,1,5,4,3,6,5,1,3,1,2,0,1,3,6,1,4,4,0,0,2,2,2,3,4,4,4,4,5,0,0,1,0,2,1,3,5,2,4,1,3,0,0,2,3,0,2,0,4,2,5,3,6,4,3,2,1,5,0,2,2,5,1,4,3,3,2,0,3,2,2,1,0,3,6,1,0,2,4,6,4,0,2,6,5,3,3,2,5,1,0,4,2,5,5,2,4,1,0,0,5,4,5,1,6,2,6,6,2,0,6,4,6,4,4,5,4,4,3,1,5,6,4,5,4,6,3,1,0,4,0,1,3,1,2,5,3,4,5,5,2,1,0,0,6,3,1,0,0,0,6,1,6,0,5,4,4,5,4,6,6,5,5,3,5,1,2,0,0,6,4,6,1,3,4,5,6,5,3,5,2,6,2,5,3,6,6,2,2,2,6,1,3,5,6,0,4,0,6,0,2,6,0,0,2,3,5,6,1,2,3,0,0,3,6,5,2,4,6,1,1,5,1,2,5,2,5,3,5,6,5,0,1,0,2,4,2,2,5,4,0,5,1,0,2,6,2,0,1,2,5,3,3,4,6,6,5,6,2,3,0,4,1,1,5,1,0,4,3,5,0,3,4,1,6,2,6,5,2,4,5,6,0,1,0,0,0,5,6,6,6,2,0,6,0,1,5,6,2,4,1,2,5,4,6,0,4,1,6,5,3,4,5,3,5,5,4,6,2,1,6,6,2,6,1,4,1,2,6,2,0,5,3,3,3,3,6,0,4,3,0,1,2,0,6,4,6,3,5,3,2,5,0,4,5,5,0,5,1,3,3,6,1,6,1,1,2,0,5,1,3,6,0,3,2,3,0,6,1,2,6,5,1,3,3,1,6,5,5,0,5,5,3,3,5,6,1,3,5,1,0,1,2,4,4,3,1,3,2,3,1,2,1,4,4,3,2,4,4,3,3,3,5,5,2,1,3,6,4,0,6,3,0,0,1,0,3,2,4,0,1,4,6,0,6,3,6,2,5,0,1,6,0,3,0,6,2,2,5,3,0,6,3,1,4,5,1,2,3,0,5,4,4,3,2,4,1,6,4,0,3,3,3,6,4,1,2,5,0,1,3,1,4,5,4,2,6,0,6,5,1,0,5,5,0,3,6,3,1,1,5,6,3,2,3,1,0,2,4,4,4,3,1,0,3,2,1,0,1,0,4,3,5,4,6,2,5,2,5,6,5,6,0,0,6,4,3,0,4,6,4,3,1,6,4,2,5,2,2,6,0,6,6,0,4,6,3,1,3,1,6,6,1,5,6,6,5,1,1,4,0,4,2,4,5,2,2,4,0,2,1,3,1,4,4,4,1,1,3,2,5,4,6,0,6,4,3,0,3,6,0,2,6,0,2,2,1,2,3,5,5,1,5,3,3,6,3,3,6,3,4,2,4,3,1,5,5,1,4,1,1,4,5,4,4,3,1,2,4,6,5,3,4,6,5,4,4,4,6,6,0,5,5,0,0,2,3,2,5,1,2,5,1,1,0,4,2,2,5,0,3,3,3,0,5,1,6,4,5,3,4,5,4}

Returns: {144.06919642857142, 170.67187500000006, 170.66815476190476, 170.6651785714286, 164.88616071428575, 164.90104166666669, 164.89732142857142, 166.01041666666669, 170.6622023809524, 170.6696428571429, 170.23883928571433, 143.45610119047615, 171.38541666666663, 164.8861607142857, 164.74330357142858, 164.74330357142858, 164.7544642857143, 0.0, 170.2366071428572, 170.24107142857144, 171.38541666666669, 165.3258928571429, 164.9196428571429, 171.38318452380952, 171.37574404761904, 164.75446428571428, 166.04389880952382, 170.10044642857147, 166.05877976190473, 170.6681547619048, 170.0944940476191, 171.37648809523813, 144.0, 171.38244047619042, 166.05877976190482, 166.0401785714286, 164.90104166666669, 165.29613095238096, 170.67187500000006, 143.45610119047618, 170.23735119047623, 170.6622023809524, 170.23958333333337, 164.74330357142856, 170.23958333333334, 165.31473214285717, 144.5989583333333, 170.23958333333334, 170.66145833333337, 170.66517857142856, 170.24330357142858, 164.91964285714286, 170.66294642857144, 170.66517857142864, 170.1004464285715, 164.9308035714286, 166.04017857142858, 164.88616071428572, 164.9047619047619, 171.38616071428567, 164.91592261904768, 171.37351190476195, 170.2433035714286, 171.38020833333334, 170.24107142857147, 166.06249999999997, 143.57142857142856, 170.6651785714286, 165.31473214285717, 171.38244047619045, 0.0, 171.37574404761907, 143.52083333333331, 171.37946428571436, 165.32589285714283, 171.38020833333337, 164.78794642857147, 170.66741071428572, 170.09672619047623, 170.23288690476195, 171.38020833333331, 170.24255952380958, 164.91592261904762, 171.37723214285714, 164.75818452380955, 144.7834821428571, 166.04017857142856, 143.49776785714283, 165.32961309523813, 171.38318452380958, 170.6681547619048, 170.23065476190482, 170.66294642857144, 170.23288690476193, 0.0, 171.3861607142857, 164.91592261904762, 166.02901785714286, 165.34449404761907, 143.45610119047618, 170.67113095238093, 144.7834821428571, 170.66741071428572, 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8

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Returns: {390.24674479166674, 391.375, 378.86458333333337, 391.375, 391.375, 392.125, 388.7571614583333, 389.50846354166663, 391.375, 378.14583333333337, 388.75455729166663, 388.75065104166674, 388.994140625, 388.75065104166663, 377.3697916666667, 389.498046875, 388.998046875, 378.11458333333337, 389.0006510416667, 392.125, 392.125, 391.625, 392.125, 389.490234375, 388.75846354166663, 391.625, 378.1354166666667, 378.1197916666667, 332.982421875, 392.875, 392.125, 377.3541666666667, 388.75065104166663, 390.248046875, 391.625, 332.732421875, 378.13020833333337, 388.75065104166663, 377.39583333333337, 392.125, 333.587890625, 377.6145833333333, 388.7467447916667, 391.625, 378.14583333333337, 378.14583333333337, 391.625, 390.25455729166663, 389.50065104166674, 390.25065104166663, 392.87499999999994, 377.6354166666667, 332.982421875, 378.88020833333337, 389.00065104166663, 334.232421875, 391.375, 391.375, 378.8854166666667, 378.1041666666667, 378.11979166666674, 389.49674479166674, 389.001953125, 391.625, 390.24674479166674, 388.748046875, 389.00455729166663, 378.8541666666667, 390.248046875, 388.99934895833337, 391.375, 391.625, 390.251953125, 388.99674479166674, 390.25065104166663, 392.87499999999994, 388.75065104166663, 389.50455729166663, 392.125, 389.00455729166663, 378.88020833333337, 392.125, 388.75065104166663, 388.744140625, 391.625, 388.748046875, 389.5071614583333, 390.240234375, 332.732421875, 332.626953125, 389.49674479166674, 388.74674479166663, 391.375, 389.0006510416667, 390.25325520833337, 388.751953125, 388.998046875, 390.24674479166663, 378.86979166666674, 390.248046875, 389.50065104166663, 392.87499999999994, 377.3854166666667, 392.87499999999994, 378.1354166666667, 377.63020833333337, 377.3854166666667, 377.6302083333333, 392.87499999999994, 377.3697916666667, 390.24674479166663, 334.337890625, 389.50455729166663, 377.64583333333337, 388.9967447916667, 392.125, 392.87499999999994, 392.125, 377.60416666666663, 378.8697916666667, 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Returns: {378.1041666666667, 389.50455729166663, 392.875, 377.36979166666674, 389.001953125, 388.748046875, 389.0006510416667, 388.75065104166663, 390.24674479166674, 392.125, 390.251953125, 378.1197916666667, 391.375, 378.8697916666667, 377.64583333333337, 388.748046875, 390.25455729166663, 391.375, 389.50455729166663, 390.25455729166663, 389.50065104166663, 388.74804687499994, 391.375, 391.375, 377.35416666666663, 390.25585937499994, 388.994140625, 390.2506510416667, 392.87499999999994, 392.125, 388.751953125, 391.375, 378.1354166666667, 378.13020833333337, 388.99674479166663, 377.39583333333337, 392.875, 378.14583333333337, 333.587890625, 392.87499999999994, 391.625, 391.375, 389.0071614583333, 390.240234375, 391.625, 389.5071614583333, 388.75585937499994, 332.982421875, 390.244140625, 389.49674479166674, 378.85416666666663, 333.587890625, 389.001953125, 378.1041666666667, 377.6354166666667, 377.36458333333337, 391.625, 388.75325520833337, 388.7467447916667, 388.751953125, 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Returns: {869.1486183449072, 876.5945095486113, 755.8929036458335, 869.1490885416661, 875.2575954861113, 754.6861979166667, 847.6914062500003, 868.257378472222, 755.017795138889, 846.932074652778, 754.9626736111113, 754.7973090277778, 756.4639756944442, 755.0040147569443, 755.0040147569443, 846.0542534722224, 755.2960069444445, 875.8148871527778, 846.3359375000005, 755.6861979166667, 847.6914062500001, 874.9255642361111, 754.6861979166667, 754.9066840277777, 756.4639756944442, 869.1439163773144, 868.2569082754625, 756.6706814236112, 756.4639756944442, 874.8144531250001, 756.5604383680555, 875.2594401041669, 868.2663122106479, 846.9431423611111, 755.7826605902776, 755.1306423611111, 846.932074652778, 756.6844618055557, 846.919162326389, 755.6861979166666, 869.9249855324069, 847.7098524305559, 755.0040147569443, 868.1439163773144, 875.259765625, 869.9259259259254, 755.2271050347223, 874.8153211805557, 868.592592592592, 847.6914062500001, 875.8145616319447, 755.3511284722223, 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9

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

Returns: {874.9239366319445, 755.0040147569446, 868.5907118055551, 869.9193431712957, 874.9242621527778, 874.8157552083335, 868.592122395833, 868.2550274884255, 868.1509693287034, 874.9252387152779, 846.0376519097223, 869.9292173032402, 868.5827184606476, 846.9412977430558, 868.5902416087957, 756.4639756944442, 847.7116970486113, 875.2585720486113, 868.5930627893514, 755.9066840277779, 868.588360821759, 755.2960069444443, 876.5922309027779, 755.2960069444443, 755.8515625000002, 868.5902416087957, 755.0040147569443, 875.8145616319446, 875.2584635416667, 868.5958839699069, 846.9320746527782, 868.2663122106478, 875.2598741319446, 875.8161892361113, 755.2960069444443, 875.2575954861113, 875.8148871527778, 869.1514395254627, 847.7043185763893, 846.9044053819448, 847.7043185763893, 874.9252387152777, 755.0040147569443, 869.1462673611105, 756.4639756944442, 875.8144531250001, 874.9264322916666, 845.9486762152779, 875.2596571180557, 876.5933159722224, 847.7098524305559, 846.9468315972223, 846.370985243056, 846.0431857638893, 846.0155164930559, 847.696940104167, 755.2960069444445, 868.5921223958328, 846.9320746527779, 754.9626736111113, 755.0040147569446, 846.9044053819447, 845.9044053819448, 846.3857421875001, 868.2587890624998, 756.6844618055557, 846.0450303819447, 875.8144531250002, 875.8136935763891, 756.4639756944442, 847.6821831597226, 755.8929036458335, 874.9265407986113, 869.921694155092, 868.5954137731479, 876.593967013889, 869.1509693287032, 869.1528501157402, 869.1439163773142, 869.1523799189812, 874.9239366319445, 846.3857421875001, 876.5923394097224, 874.8148871527778, 754.8515625000001, 868.1439163773146, 846.3765190972223, 876.5911458333336, 868.2564380787034, 846.9044053819448, 876.5923394097225, 874.8157552083335, 868.2531467013885, 754.893771701389, 868.1476779513886, 846.9044053819448, 845.9486762152779, 754.7826605902778, 869.928747106481, 869.9216941550922, 845.9339192708337, 868.5954137731477, 875.8161892361112, 846.0155164930559, 846.3857421875001, 869.1509693287031, 874.8161892361112, 755.7826605902778, 846.9431423611114, 846.3709852430558, 874.9264322916667, 754.7826605902778, 875.8132595486113, 846.3857421875001, 869.1509693287031, 875.2581380208334, 869.1523799189811, 755.2271050347223, 755.2960069444445, 875.2592230902778, 869.9231047453699, 755.0040147569443, 846.9044053819448, 755.0040147569443, 868.2587890624997, 869.919813368055, 874.9255642361113, 868.5996455439813, 845.9339192708337, 754.9066840277777, 755.7826605902778, 755.2960069444443, 876.5928819444447, 869.1509693287034, 874.8128255208336, 868.588360821759, 869.9240451388885, 846.0579427083336, 847.7116970486113, 874.9246961805555, 847.7098524305559, 868.5996455439813, 755.3511284722223, 846.0302734375003, 846.9468315972223, 875.2592230902778, 755.2960069444443, 876.5934244791667, 876.5942925347224, 846.3580729166669, 846.3765190972223, 874.9273003472222, 868.1425057870366, 868.2639612268515, 869.1472077546291, 875.2581380208335, 874.9261067708334, 869.9301576967589, 756.6706814236112, 754.9626736111113, 869.1490885416661, 874.9256727430555, 868.2644314236109, 868.2601996527774, 876.5930989583336, 846.9191623263891, 756.4639756944442, 875.8153211805557, 755.0040147569443, 755.2271050347223, 846.358072916667, 755.2960069444445, 875.2584635416667, 875.8144531250001, 869.9249855324069, 755.0040147569443, 755.0040147569443, 847.7209201388889, 875.8152126736111, 846.9044053819448, 755.7826605902778, 868.2620804398147, 755.8515625000001, 755.0040147569443, 755.9066840277779, 876.5926649305558, 755.0040147569443, 874.9258897569445, 875.8153211805557, 755.2960069444443, 874.9264322916667, 869.1509693287031, 869.921694155092, 755.0040147569443, 755.0040147569443, 755.0040147569443, 846.052408854167, 875.8144531250001, 869.9240451388883, 755.0040147569446, 846.3709852430558, 875.259006076389, 755.2960069444446, 755.2960069444445, 875.2598741319446, 755.7826605902778, 868.1481481481478, 868.5935329861106, 847.6914062500003, 868.5954137731477, 847.6692708333336, 846.3709852430559, 876.5923394097225, 755.7826605902776, 754.7973090277778, 756.4639756944445, 869.1547309027773, 756.4639756944442, 869.9254557291662, 874.9278428819446, 868.2639612268515, 755.8515625000001, 876.5923394097224, 875.2572699652779, 869.9329788773143, 755.0040147569443, 755.1306423611111, 846.3636067708336, 756.4639756944445, 845.9265407986113, 869.1495587384253, 875.8170572916667, 874.8144531250002, 869.9259259259254, 875.8153211805558, 875.2601996527778, 846.052408854167, 868.2606698495367, 874.9263237847222, 846.0302734375002, 756.4639756944445, 869.9202835648144, 869.9287471064812, 875.2601996527777, 876.5926649305558, 869.9240451388885, 846.0376519097226, 874.9276258680555, 868.2550274884254, 755.3373480902778, 875.2588975694445, 754.8515625000002, 847.6914062500001, 868.5925925925923, 876.593967013889, 868.2606698495365, 755.0040147569446, 847.6914062500001, 874.8161892361113, 755.8515625000002, 874.9256727430555, 874.9273003472222, 875.8156467013889, 874.9271918402778, 874.8170572916667, 876.5939670138891, 868.5916521990738, 868.2663122106478, 756.6293402777779, 876.5910373263891, 875.8165147569446, 847.7264539930557, 846.3875868055559, 874.8160807291667, 876.593967013889, 847.7116970486113, 756.6706814236112, 868.59400318287, 868.1415653935181, 874.9276258680555, 874.9255642361111, 847.6987847222224, 868.2663122106478, 869.9202835648144, 869.1439163773142, 868.1439163773144, 875.8140190972224, 755.8515625000002, 755.7826605902778, 846.370985243056, 845.9044053819448, 868.1514395254626, 846.3359375000002, 876.5927734375002, 755.0040147569443, 756.5604383680555, 755.7826605902778, 874.8154296875001, 868.2569082754626, 875.814127604167, 755.7826605902778, 756.4639756944445, 845.9486762152779, 874.9265407986111, 875.8154296875001, 868.1406249999997, 874.9264322916667, 846.9339192708335, 846.9136284722224, 875.8161892361112, 874.8145616319447, 845.919162326389, 755.2271050347223, 755.7826605902778, 846.3765190972224, 875.2594401041667, 755.3373480902778, 846.9431423611112, 869.1514395254624, 846.9265407986114, 868.2663122106478, 754.9066840277777, 846.0321180555557, 875.2575954861113, 874.9246961805558, 869.1547309027773, 846.9210069444447, 847.7264539930557, 869.9184027777775, 846.3857421875003, 868.5982349537034, 874.9252387152778, 846.370985243056, 845.9339192708337, 868.5860098379624, 756.4639756944442, 874.9255642361113, 869.1509693287032, 846.9044053819448, 846.3636067708336, 868.5954137731479, 875.258029513889, 847.6914062500001, 847.6821831597226, 756.4639756944442, 845.9431423611112, 846.9486762152779, 754.9066840277777, 756.4639756944442, 875.2577039930558, 846.9044053819448, 875.8148871527778, 874.8141276041669, 868.5958839699069, 846.0247395833336, 846.3931206597224, 754.9066840277777, 869.1552010995365, 869.9198133680552, 845.9265407986114, 846.0247395833334, 845.9210069444447, 847.7209201388889, 845.9210069444448, 875.8153211805557, 868.5907118055552, 876.5935329861113, 755.2960069444445, 847.696940104167, 754.8515625000002, 869.9292173032403, 875.2593315972224, 847.6987847222225, 876.5913628472225, 869.9263961226847, 874.9268663194446, 875.8144531250002, 755.0040147569443, 875.8144531250001, 755.6861979166666, 846.3857421875003, 876.5938585069446, 869.1439163773144, 875.2611762152777, 847.704318576389, 846.3654513888889, 846.3857421875003, 755.2960069444443, 846.052408854167, 755.2960069444443, 869.9235749421291, 869.9216941550922, 876.5935329861113, 874.9255642361112, 756.4639756944442, 846.3857421875001, 875.259006076389, 875.2593315972222, 754.9626736111113, 874.9255642361112, 756.6844618055557, 875.2593315972222, 846.0302734375003, 868.2606698495364, 875.2567274305557, 755.7826605902777, 868.2606698495367, 869.1509693287035, 755.0040147569443, 869.1453269675923, 755.2271050347224, 756.4639756944442, 874.8156467013889, 754.9066840277777, 874.9281684027778, 846.0524088541667, 869.9254557291662, 847.7043185763893, 846.9191623263891, 876.5923394097225, 875.2606336805557, 847.7209201388891, 875.8145616319447, 869.1420355902773, 875.813693576389, 847.7043185763891, 869.9160517939811, 868.5968243634255, 846.0247395833335, 876.5923394097224, 875.2594401041666, 868.59400318287, 875.8149956597223, 847.6821831597225, 846.9339192708336, 868.5864800347217, 754.7973090277778, 846.3580729166671, 876.5944010416667, 846.0302734375002, 875.2601996527778, 754.8937717013889, 868.2663122106479, 756.4639756944442, 874.9239366319445, 868.2587890624995, 875.8136935763891, 875.8139105902779, 756.4639756944442, 754.893771701389, 869.9259259259255, 845.9044053819448, 868.2620804398146, 756.5604383680555, 755.017795138889, 874.9259982638889, 845.9431423611112, 875.8167317708334, 875.2575954861113, 845.9431423611112, 868.2658420138886, 846.9210069444447, 875.8148871527778, 876.5917968750002, 755.8515625000002, 846.0597873263891, 874.9268663194446, 846.3857421875003, 869.1439163773141, 875.8156467013891, 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10

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Returns: {1871.194661458333, 1869.394661458333, 1924.8011718750006, 1869.4026692708333, 1686.655729166667, 1911.0052083333326, 1869.3786458333332, 1911.5954427083323, 1928.7, 1911.0039062499993, 1685.7664062500007, 1869.2053385416662, 1912.2052083333326, 1869.7973307291663, 1924.8021484375004, 1870.3893229166663, 1869.4106770833328, 1929.4999999999998, 1910.9973958333326, 1687.5885416666674, 1911.6013020833327, 1911.5954427083325, 1911.0013020833328, 1911.605208333333, 1685.5885416666674, 1910.998697916666, 1685.5885416666674, 1926.1992187500002, 1910.9973958333328, 1869.4160156249995, 1911.0019531249993, 1926.1992187500011, 1869.7866536458328, 1925.4011718750005, 1687.3671875000002, 1912.2039062499994, 1869.8133463541662, 1926.201171875, 1925.3990234375008, 1869.8053385416663, 1926.1984374999995, 1685.5671875000007, 1685.3671875000007, 1924.2023437499997, 1911.6006510416664, 1924.8007812500007, 1869.7973307291663, 1912.1954427083324, 1869.3866536458331, 1685.7221354166672, 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10

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Returns: {1928.7, 1912.1954427083326, 1912.2013020833326, 1685.5885416666674, 1912.200651041666, 1687.5221354166674, 1911.1993489583326, 1925.4005859375004, 1869.218684895833, 1928.6999999999998, 1870.3973307291662, 1687.5221354166665, 1913.0019531249993, 1924.400195312501, 1927.6999999999996, 1911.205208333333, 1925.4021484375012, 1685.7885416666677, 1910.999999999999, 1685.7664062500003, 1928.7, 1926.2017578125008, 1925.3994140625011, 1929.4999999999998, 1928.7, 1871.202669270833, 1925.3986328125006, 1924.4011718750007, 1924.4013671875005, 1870.3893229166663, 1686.5671875000005, 1870.4053385416662, 1685.7664062500007, 1911.000651041666, 1924.400390625001, 1870.4186848958332, 1927.6999999999996, 1911.2065104166666, 1686.0557291666669, 1910.9993489583323, 1686.655729166667, 1871.1973307291664, 1929.4999999999998, 1924.1998046875003, 1871.2106770833332, 1685.9671875000004, 1928.0999999999997, 1685.7221354166677, 1911.0006510416663, 1685.7221354166668, 1869.186653645833, 1869.8133463541662, 1869.797330729166, 1687.3671875000002, 1685.4557291666674, 1911.2032552083328, 1925.3994140625007, 1685.7664062500005, 1924.7992187500008, 1871.1946614583328, 1912.2032552083328, 1871.178645833333, 1870.378645833333, 1685.5885416666674, 1928.0999999999997, 1924.2021484375005, 1924.3980468750008, 1911.007161458333, 1911.1980468749991, 1924.8019531250004, 1912.2052083333328, 1911.2032552083328, 1911.2013020833326, 1870.3946614583328, 1685.5221354166677, 1927.4999999999998, 1911.0058593749995, 1870.378645833333, 1928.7, 1924.3992187500007, 1686.5671875000005, 1869.8053385416663, 1869.786653645833, 1911.2013020833326, 1928.0999999999997, 1869.805338541666, 1870.402669270833, 1869.4026692708333, 1911.1954427083324, 1869.4053385416667, 1687.3671875000002, 1685.5885416666674, 1869.213346354166, 1687.3671875000005, 1685.7664062500003, 1924.7992187500001, 1927.6999999999996, 1686.1664062500008, 1869.1946614583326, 1928.0999999999997, 1870.4053385416667, 1925.3968750000004, 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11

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Returns: {4188.423532196967, 3719.8546519886345, 4165.874064867423, 3720.6361860795437, 4189.879142992422, 4164.517175662879, 3719.5089843749993, 4165.243323863636, 3720.491015624999, 4164.792376893937, 4189.8782907196955, 4087.191702178031, 4189.241998106059, 4165.241299715907, 4189.879071969695, 4164.789902935605, 3720.4910156249994, 4165.874289772725, 4165.879687499998, 4188.513517992422, 3719.0364701704534, 4189.2437026515145, 4196.515080492424, 4164.419519412877, 4189.878716856058, 4164.790802556819, 4088.5523733428026, 4088.5246981534083, 4196.787790009469, 3719.9181640624993, 4087.92391690341, 4087.9160097064396, 4189.878006628785, 3720.4910156249994, 4197.242548532197, 3721.445294744315, 4087.470359848485, 4197.878858901516, 3719.9635298295443, 4087.9199633049247, 4164.787204071969, 4190.695975378786, 4188.514725378785, 4190.696259469694, 3719.40010653409, 4166.694270833333, 4196.515062736741, 4165.879012784089, 4189.879569128786, 4188.787097537878, 4188.424100378787, 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12

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{7,0,6,0,7,2,7,11,6,8,7,8,4,1,9,9,4,0,1,7,5,3,9,1,11,10,2,10,5,10,7,6,10,10,2,2,9,2,9,11,4,8,2,1,9,10,10,7,0,5,4,7,8,1,3,8,4,10,10,6,11,9,0,1,5,5,5,8,11,3,6,6,11,8,7,2,8,1,3,0,4,9,2,11,7,10,1,6,3,1,8,6,3,3,3,0,1,1,4,9,8,4,3,2,10,9,3,8,0,10,10,6,2,0,6,3,7,9,0,10,4,10,4,1,2,4,11,10,0,5,5,6,4,9,3,11,11,9,11,0,2,0,0,4,1,6,0,8,11,9,5,10,9,1,11,7,11,9,9,3,6,9,4,4,6,0,0,2,9,7,7,4,6,0,1,1,10,6,0,11,3,0,1,1,2,6,4,6,9,10,6,2,4,9,2,3,1,8,10,8,1,0,2,7,2,9,7,3,10,3,1,0,3,9,3,11,4,9,7,9,8,0,5,9,0,8,6,5,1,0,11,0,10,1,0,10,6,9,4,8,8,6,11,3,10,10,7,5,3,4,1,11,0,5,3,8,5,7,4,9,6,7,2,10,4,4,10,9,0,2,2,7,7,8,10,5,2,5,9,1,3,10,11,7,11,9,10,11,7,7,7,3,3,7,4,3,7,10,2,6,7,6,10,11,11,0,3,5,5,5,9,7,11,7,10,7,11,7,3,1,0,6,4,6,11,1,3,9,10,4,9,1,6,2,2,7,7,10,5,9,4,4,10,10,3,11,8,9,4,1,7,0,10,2,0,5,11,0,7,3,7,10,5,6,8,7,2,0,11,0,0,1,1,10,7,1,9,8,8,1,3,3,10,4,2,5,10,9,0,8,3,11,9,6,9,10,2,10,11,7,2,4,7,1,8,9,4,10,8,7,3,11,7,9,3,9,8,1,0,11,4,1,8,7,1,10,4,3,2,6,3,4,3,10,4,5,8,8,3,1,0,6,8,8,7,3,1,8,11,2,9,9,8,11,4,2,11,2,3,1,6,3,8,7,7,6,10,1,9,11,10,4,8,7,7,9,6,6,4,8,6,0,4,9,10,7,3,10,8,8,5,6,1,8,1,1,8,10,5,9,6,3,0,2,8,7,1,8,0,8,9,10,1,2,5,6,10,1,10,8,3,5,2,0,7,3,4,9,3,4,1,10,4,9,8,8,4,3,4,7,2,4,2,4,7,3,9,6,10,8,10,3,3,3,3,4,1,10,0,9,11,1,1,6,0,9,6,11,8,2,4,1,4,2,11,1,7,6,11,6,8,8,7,2,10,0,9,8,9,3,1,7,7,3,6,6,2,10,3,0,5,3,4,1,2,6,11,7,7,8,4,3,0,9,6,6,2,4,4,0,2,11,0,2,6,8,4,0,3,5,10,5,7,8,1,6,0,5,9,4,11,11,9,6,9,11,0,4,1,8,3,11,5,7,11,2,7,9,9,1,7,3,6,1,3,1,11,7,4,5,11,6,9,6,5,11,0,1,6,5,9,1,4,10,11,1,4,2,8,5,2,0,9,10,7,1,10,1,9,8,10,3,11,8,2,5,0,6,7,9,0,1,0,11,10,5,4,9,10,3,2,2,7,8,3,8,6,9,0,6,8,6,11,10,0,10,3,2,3,7,5,7,10,6,2,11,3,7,11,3,1,8,6,8,9,7,9,2,4,1,11,7,0,0,11,7,8,11,11,7,11,5,9,4,11,5,9,7,6,9,5,4,11,8,7,1,6,6,6,2,10,7,9,5,5,4,1,6,0,3,3,6,11,1,3,8,9,8,3,4,2,4,0,0,2,3,11,1,7,9,10,9,9,8,9,0,9,1,8,4,10,9,8,5,2,0,11,6,4,5,0,11,11,8,2,5,9,9,9,11,1,10,7,1,4,1,4,10,2,2,4,1,2,2,1,3,2,6,1,4,4,11,4,6,11,5,8,3,9,3,5,8,7,2,2,10,7,1,5,8,0,11,10,2,3,3,9,7,1,4,11,7,3,6,1,10,1,11,8,1,4,7,7,1,6,5,0,3,5,5,6,6,5,3,1,1,8,8,3,10,6,11,11,8,11,10,3,5,5,9,10,4,3,7,4,2,5,8,6,11,1,0,11,8,4,2,2,11,1,7,4,7,1,3,9,8,7,2,4,10,3,9,8,6,1,3,6,5,9,8,9,11,7,11,5,3,7,0,11,0,5,0,0,7,9,3,4,8,1,5}

Returns: {9049.505002170139, 8132.603597005209, 9064.433078342017, 9066.932980685771, 9007.400157335067, 9050.338823784725, 8130.194580078125, 9051.839507378474, 9007.236008029511, 9049.839019097217, 8130.406494140625, 9007.732861328122, 8130.406494140626, 9008.89858398437, 8866.022786458327, 8866.04075520833, 8130.406494140626, 9066.933566623273, 8866.687955729161, 8130.330810546875, 9049.338726128473, 8130.709554036459, 8131.027913411459, 9051.005295138888, 9066.933143446187, 9051.00431857639, 9008.232231987844, 9051.006467013889, 8130.103597005209, 8131.906494140625, 9007.404248046872, 9049.339507378474, 9051.00617404514, 8866.666992187493, 9008.229085286455, 9069.405555555557, 8131.164143880209, 9065.433566623273, 9008.23380533854, 9066.93278537327, 9064.600298394105, 8865.518294270827, 8131.164143880209, 8131.770263671876, 9050.339214409718, 9008.902045355902, 9051.00392795139, 8865.210416666665, 9070.905555555557, 8130.254964192709, 8130.270263671876, 9049.506174045138, 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12

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Returns: {8865.022786458325, 8132.527913411459, 8130.406494140625, 9051.839898003474, 8865.522786458328, 8865.036263020827, 8130.603597005209, 8865.518294270825, 8865.022786458327, 9064.600103081602, 9064.433631727434, 9009.729085286455, 9008.900472005205, 9066.09967990452, 8130.270263671875, 9068.405555555559, 8865.542252604162, 9049.338823784723, 8130.406494140626, 9051.006467013887, 9064.933729383687, 9049.336675347222, 9007.399213324652, 8130.754964192709, 9064.933859592022, 8132.527913411459, 9064.60062391494, 8131.164143880209, 9007.731917317706, 9066.932752821187, 9065.433371310774, 9070.905555555557, 9007.735693359371, 9009.735064019096, 9066.100298394103, 9064.599907769105, 8867.513802083326, 9064.600200737856, 8131.164143880209, 8865.540755208327, 9068.572222222223, 9064.433501519103, 8865.540755208329, 9069.405555555557, 8865.531770833328, 9068.905555555557, 9050.337847222218, 9070.072222222223, 8130.406494140625, 8130.754964192709, 9065.43372938369, 9070.072222222223, 9070.072222222223, 8130.406494140626, 9008.901101345484, 9066.100396050355, 8866.67447916666, 8130.254964192709, 9050.339605034722, 8867.534765624994, 8131.164143880209, 8132.527913411459, 9050.33921440972, 8130.406494140625, 8131.164143880209, 9065.433729383687, 9051.838433159724, 9068.405555555557, 8132.527913411459, 9066.099810112857, 8131.830810546875, 9009.731917317704, 9007.236008029511, 9051.838433159724, 9008.901101345484, 8132.527913411459, 8132.664143880209, 8865.20143229166, 9049.83765190972, 9064.433696831607, 8130.406494140626, 8867.540755208327, 8865.518294270829, 9064.933436414942, 9049.50451388889, 9007.735693359373, 8131.164143880209, 9068.405555555557, 8130.406494140626, 8132.527913411459, 9051.006467013889, 9007.73065863715, 8130.406494140626, 9007.735064019094, 8866.00781249999, 8865.195442708327, 8865.021289062493, 9007.73317599826, 9064.933468967018, 8131.770263671876, 8865.021289062495, 8867.530273437495, 9049.83931206597, 9050.338140190974, 9066.933078342017, 9050.339507378472, 9007.397954644095, 8866.021289062493, 9065.433175998267, 8131.770263671876, 9064.599810112859, 9049.505392795134, 8130.330810546875, 9050.33843315972, 9064.933794487855, 9051.837651909726, 9050.337261284725, 9070.072222222223, 9007.232861328122, 8866.045247395828, 9007.735693359373, 9064.600396050355, 9066.100330946192, 8866.710416666665, 9066.933631727437, 9070.90555555556, 8130.254964192709, 8865.195442708327, 8866.03177083333, 9007.237581380206, 9064.9329155816, 8866.695442708326, 8865.542252604164, 9009.73317599826, 9007.404248046872, 9007.395751953121, 8130.709554036459, 9049.839019097222, 9070.072222222223, 8130.254964192709, 9008.231917317706, 9009.73097330729, 9007.73380533854, 9009.73034396701, 9007.23443467882, 9009.731917317706, 8865.518294270827, 9064.599810112857, 9064.933371310774, 9051.00480685764, 8131.906494140625, 9066.933403862855, 9066.099419487853, 9007.39889865451, 9009.733175998263, 8131.694580078125, 8866.043749999995, 8866.67447916666, 8867.534765624994, 9007.395751953123, 9070.90555555556, 9007.23317599826, 9064.433599175356, 9064.433241102435, 8131.906494140625, 8867.543749999995, 8866.022786458328, 9049.83696831597, 9049.506564670137, 9051.006564670135, 9008.231287977427, 9007.234749348958, 9068.405555555557, 8866.69544270833, 9008.231917317704, 8866.696940104162, 9049.840093315972, 9064.933468967023, 9065.433241102435, 9064.933501519103, 9064.933566623271, 9068.405555555557, 8866.04075520833, 9066.93307834202, 9068.572222222225, 8130.194580078125, 9007.736008029511, 9051.838530815969, 9069.405555555557, 9051.83726128472, 9049.50617404514, 9050.336284722222, 8131.239827473959, 8130.406494140625, 8865.518294270829, 8865.195442708327, 9051.004904513884, 9049.506662326388, 9066.099842664933, 9051.005295138893, 9064.433078342025, 9007.233805338543, 9064.600265842022, 9007.732546657986, 9066.933078342026, 9049.83735894097, 9070.90555555556, 9049.339214409725, 8866.030273437495, 9008.23065863715, 8131.770263671875, 8131.876220703126, 9064.93298068577, 8865.20592447916, 8132.527913411459, 8130.603597005209, 9069.405555555557, 9064.43314344619, 9050.339409722217, 9008.89889865451, 9007.232231987844, 9008.236637369788, 9066.932850477437, 8131.876220703126, 9008.235064019094, 9066.933924696184, 9009.73065863715, 8131.164143880209, 9049.838335503468, 9007.404248046872, 8130.376220703126, 8866.696940104162, 9051.83814019097, 8131.164143880209, 8131.103597005209, 9007.23380533854, 8131.770263671876, 9065.4335015191, 9049.839116753474, 8865.20891927083, 9008.899527994789, 9064.599745008685, 9051.005295138892, 9064.433631727437, 8132.603597005209, 8865.521289062493, 9051.838726128477, 9050.337261284725, 9049.505197482635, 9068.905555555557, 9007.397954644095, 8131.770263671875, 8866.692447916661, 9049.838335503471, 9049.50656467014, 9007.40173068576, 9064.933631727437, 8130.421630859376, 9066.932557508686, 8867.513802083327, 9049.50734592014, 8130.254964192709, 9007.402674696179, 8867.513802083326, 9066.099875217018, 9050.33950737847, 8130.709554036459, 9007.401416015622, 8866.687955729163, 9007.229085286457, 8865.187955729161, 8865.207421874995, 9007.40487738715, 8865.03626302083, 8131.876220703125, 9008.900157335067, 9050.33931206597, 8865.205924479164, 8131.876220703125, 9049.506857638888, 9064.933664279522, 9050.33853081597, 8866.702929687493, 8865.013802083326, 8866.702929687495, 8866.710416666665, 8130.270263671876, 8130.209554036459, 9064.93301323785, 8865.030273437496, 9068.405555555559, 8130.603597005209, 8865.036263020827, 9066.100330946183, 9007.402989366317, 9066.099745008683, 8132.739827473959, 9051.837847222218, 9008.233805338541, 9007.728455946175, 8867.507812499993, 8866.684960937493, 9068.405555555559, 9051.840776909727, 9065.43405490452, 9049.837651909726, 8130.194580078126, 9050.339507378472, 9065.43298068577, 8866.030273437495, 9068.405555555557, 8130.027913411459, 9064.599842664938, 9068.905555555557, 8132.709554036459, 8865.187955729161, 8865.031770833328, 9009.730029296872, 9007.734749348956, 9007.736322699651, 9070.90555555556, 8132.739827473959, 9050.339507378472, 9049.340776909721, 8131.103597005209, 9007.736008029511, 9064.433859592024, 8130.527913411459, 9049.838823784723, 8130.754964192709, 9064.600396050355, 8865.180468749993, 9066.100461154523, 9064.433566623275, 9007.404248046872, 9051.840483940976, 8866.687955729161, 8865.20143229166, 9070.072222222223, 9051.839019097228, 9009.729085286453, 8132.664143880209, 8866.013802083326, 8867.521289062495, 9050.337847222221, 9007.232861328124, 9051.004513888885, 9051.005002170139, 9068.572222222225, 8865.174479166657, 8867.518294270827, 9009.73065863715, 8132.527913411459, 8866.007812499993, 8132.664143880209, 8131.921630859376, 9066.933078342026, 9064.60013563369, 8131.906494140626, 8131.876220703125, 8865.521289062493, 8131.770263671875, 9050.337651909724, 9065.433338758685, 8130.270263671876, 9008.23286132812, 9051.83784722222, 9064.599972873275, 9007.232231987846, 9051.004513888887, 8130.754964192709, 9051.83804253472, 9064.433664279517, 9049.33901909722, 9049.339312065971, 9008.901416015622, 9051.838823784721, 8866.03626302083, 9007.736008029511, 9065.43262261285, 9049.339995659722, 8130.254964192709, 8865.039257812496, 8865.022786458327, 9007.235693359373, 9007.23380533854, 9069.405555555557, 9009.732231987846, 9066.933078342023, 9049.506174045138, 8865.187955729161, 8132.527913411459, 9070.905555555557, 9051.005978732637, 8865.000325520827, 9069.405555555557, 8131.906494140626, 9008.898898654512, 8866.702929687495, 9068.405555555557, 9008.235693359375, 9051.83892144097, 9065.433696831606, 9050.339019097222, 8130.421630859375, 9064.59958224827, 9008.901416015622, 8131.164143880209, 8131.254964192709, 9049.33901909722, 9068.572222222223, 8131.209554036459, 8865.030273437495, 9049.339019097222, 8867.518294270827, 9064.432687717015, 9007.730029296872, 9065.433208550356, 9008.232861328124, 9049.33950737847, 9070.90555555556, 9066.933436414936, 9070.072222222223, 8130.709554036459, 9069.405555555557, 8866.034765624994, 8865.201432291662, 9066.100526258688, 9065.433729383687, 9049.506174045142, 9049.504513888885, 9065.433501519106, 9051.840679253473, 8866.034765624994, 9009.729085286455, 8130.709554036459, 9007.737581380205, 9051.00705295139, 8130.330810546875, 9049.339019097217, 9009.73097330729, 9070.905555555557, 9064.433827039937, 9008.237581380208, 9070.072222222223, 9070.072222222223, 9051.003342013888, 8865.013802083327, 9049.50568576389, 8866.692447916661, 9064.6002983941, 8865.192447916661, 8130.027913411459, 9065.433664279524, 8865.187955729158, 8865.20592447916, 9049.50568576389, 9008.232861328119, 9007.732231987846, 9049.83853081597, 8865.525781249995, 8130.270263671876, 8131.239827473959, 9064.933371310768, 8867.521289062492, 8867.522786458327, 9008.899527994789, 9007.735378689234, 8132.527913411459, 8867.513802083324, 9049.506759982636, 8866.687955729161, 9007.234749348958, 9068.572222222223, 8866.007812499993, 8131.254964192709, 8866.028776041663, 8866.013802083327, 9064.599452039934, 8865.021289062493, 9051.839312065977, 9009.726253255203, 9069.405555555557, 9007.735064019094, 8130.406494140626, 9064.600005425356, 9064.600005425355, 9007.731917317704, 9065.433273654517, 9065.433371310774, 8132.709554036459, 9008.238525390625, 9066.933143446193, 9007.403304036456, 9068.572222222225, 9008.232861328122, 9064.433045789936, 9051.005295138886, 8130.709554036459, 8130.421630859376, 8132.527913411459, 8130.376220703126, 9064.933143446191, 9007.237581380208, 9050.33862847222, 9065.433468967021, 9064.4329155816, 8130.103597005209, 9049.339116753472, 9051.839312065971, 8130.254964192709, 9007.23317599826, 9049.837554253472, 9007.23443467882, 8865.531770833328, 9066.934022352434, 9066.933664279524, 8865.539257812497, 9070.90555555556, 8132.754964192709, 9068.905555555557, 9009.73663736979, 8866.684960937495, 9008.892919921871, 9051.005295138888, 9007.228455946177, 9049.506857638886, 8867.530273437495, 8867.518294270825, 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13

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13

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Returns: {19438.466633488562, 19465.753322816498, 17639.217954977954, 17639.314061873985, 19465.75401267027, 19368.360767227572, 19465.75370342547, 19367.514277218557, 19365.89665151744, 19441.15850986576, 19466.44677233573, 17640.14103190103, 17639.294840494782, 19441.15708320811, 19104.56062825521, 19474.1639554537, 19466.446284680485, 19465.753905623995, 19104.31422463442, 19441.15761405748, 19439.08148725459, 19466.446058693906, 19106.160378480585, 19104.34201910557, 19367.510691481377, 19104.943506485386, 19476.625600335505, 19464.523267227556, 17639.08329264322, 19476.62554712537, 19438.3898099459, 19464.60023788061, 19439.6209441356, 19106.17890812801, 17639.705084385005, 19438.465903570694, 19439.622005834324, 19474.54877115882, 19365.90012520033, 19476.625756835918, 19473.8563789563, 19366.2842923678, 19366.820176657664, 17640.775675455716, 19366.282611553488, 19366.28249949921, 19105.488916641632, 19105.48486328125, 19368.357405598963, 19105.493549053488, 19476.625622245574, 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14

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Returns: {41556.95319707963, 41621.26190476193, 41617.047584170396, 40949.71793619786, 41617.0477469308, 41620.83333333335, 41616.33320545015, 41432.30968656995, 41555.52390020462, 40950.998174758126, 41620.97619047621, 38030.50003487724, 41430.31001209078, 41617.04771205358, 41599.595433407776, 38028.58789062501, 41618.333408900675, 41431.02413504462, 38028.58789062501, 41620.97619047621, 41599.1666666667, 41622.26190476194, 41433.167968749985, 41431.02234468007, 41618.333310081856, 41430.30887276786, 40949.0045631045, 41623.833333333365, 41555.66598656065, 41616.61906505767, 41600.59518926715, 41616.33334495909, 41431.02413504464, 41617.61919875372, 41599.16678059901, 41619.1904296875, 38029.44503348215, 41555.52308407738, 41601.30962146583, 38028.983503069205, 38029.90659877233, 41621.6904761905, 41620.83333333335, 41600.59533575153, 40950.28388904385, 41617.61905924481, 41431.024297805045, 41555.524489629846, 41618.33342633929, 40949.29666573657, 40951.84710402711, 38028.35717773438, 41617.61887904577, 41616.190319242945, 41621.26190476193, 41599.166276041724, 40950.2902773902, 41616.61900692895, 38028.95054408483, 41619.190487816224, 38028.71976143974, 41618.33333333335, 41618.33340308781, 41431.02559988838, 41601.3090680804, 41558.52222260975, 41617.04766555059, 41619.19040643602, 41555.666575985866, 41430.59507533483, 41557.66689336868, 41430.16992187499, 41618.333408900675, 38028.983503069205, 41616.3333217076, 40951.84710402711, 41430.31180245535, 38029.3791155134, 41555.95251697359, 41599.309377325204, 41431.59654017857, 41618.33333914621, 41558.52376418341, 41600.023907180104, 41618.333327520464, 41431.02429780505, 41616.19048200336, 40948.86626906618, 41616.6191638765, 41617.04764229911, 41555.953514462446, 40948.99999999995, 41616.33335658482, 41431.02332124257, 38028.58789062501, 41617.04761323475, 38029.90659877233, 38031.58789062501, 41622.97619047622, 38028.785749162955, 41617.61903018042, 41618.3332984561, 41432.3041527158, 38028.55493164063, 41431.59165736607, 41431.59751674106, 40950.27202497206, 41621.26190476193, 41599.59523809528, 40948.86626906618, 41620.97619047621, 38028.95054408483, 41600.59510788693, 41558.52439894905, 41616.19047619048, 40950.99452427451, 41558.522222609754, 41556.38027227494, 41431.59312220984, 40949.29484049474, 40949.272024972066, 38028.58789062501, 41555.665895879836, 40950.999999999956, 38030.56595284599, 40949.71793619786, 41599.30986560644, 41621.6904761905, 41556.95102074035, 40949.28115118113, 41431.595726376494, 41602.16678059901, 41432.31229073659, 41556.38077101936, 38030.56595284599, 38029.28023856028, 41556.95165550596, 41622.26190476194, 41430.313104538676, 40950.998174758126, 38029.90659877233, 41600.59499395466, 40949.27841331841, 38028.851667131705, 38028.785749162955, 38029.3791155134, 41621.6904761905, 41616.19049944196, 41431.59849330355, 41618.33324032739, 41621.6904761905, 40950.99543689543, 41600.59483119425, 40949.0045631045, 41601.309377325204, 41621.6904761905, 41555.95283435642, 38029.3351702009, 41616.333263578854, 41599.595124162995, 41431.593122209815, 41555.52371884302, 41617.619181315116, 40951.85531761528, 41601.30962146582, 41600.02354910719, 41556.95224493118, 41557.66689336868, 41431.0257626488, 38028.983503069205, 41431.59458705358, 41600.59484747028, 41602.16655273442, 41430.170410156235, 40949.27567545568, 41599.59536830362, 41600.595807756734, 41430.3122907366, 40949.01095145084, 40951.84892926891, 40951.83889043894, 41558.52399088543, 40951.857142857094, 38031.42309570313, 41555.95251697359, 41430.59523809524, 41599.30975167415, 41555.95346912204, 41557.66698404949, 41600.023809523875, 41433.165527343765, 41432.31310453867, 38030.73074776786, 41555.95292503721, 41431.02478608631, 41600.595042782785, 41558.52435360864, 41600.02338634677, 41600.59528692341, 40950.281151181145, 38030.71976143974, 41430.593936011916, 38028.52197265626, 38030.56595284599, 41602.16622721358, 41616.333269391755, 41555.52376418342, 41432.3103376116, 38029.90659877233, 41600.02361421137, 41600.023370070725, 41616.333437965026, 41599.16648763026, 41620.97619047621, 40948.85805547802, 38028.69778878349, 41617.04764229911, 41620.97619047621, 41622.97619047622, 41623.833333333365, 40948.99543689543, 38029.3791155134, 41599.16682942713, 40950.281151181145, 40951.86809430799, 41600.02382579989, 41556.38163248699, 38028.71976143974, 38028.983503069205, 41617.04763067336, 40950.2994035993, 38028.56595284599, 41430.16748046874, 41555.66780017672, 41555.952698335204, 40949.004563104514, 41602.16668294276, 41600.595270647354, 41600.595091610914, 38028.983503069205, 40948.857142857094, 41618.33337402345, 38030.56595284599, 41616.19052269346, 41623.833333333365, 38028.983503069205, 41622.26190476194, 41556.953333100835, 41600.02413504469, 38029.983503069205, 41433.16324869793, 40949.0045631045, 41555.66553315663, 41602.1670898438, 41601.30940987728, 41600.595449683824, 41433.16666666666, 38031.35717773438, 41616.33328101748, 40949.70424688424, 38029.005475725455, 40951.858055478, 40949.70424688426, 41601.30962146581, 41430.169270833314, 38028.71976143974, 41600.59557989216, 41617.0475434803, 41431.59458705357, 41433.16650390625, 38030.005475725455, 41556.95129278276, 41623.833333333365, 41599.59546595987, 41555.523174758186, 38029.3791155134, 41558.52412690663, 38028.50003487724, 41621.6904761905, 40948.86900692889, 41555.66675734747, 41620.97619047621, 41599.59527064736, 40949.27202497206, 41556.38099772137, 38028.58789062501, 41618.33336239771, 40948.85714285711, 38031.52197265626, 41623.833333333365, 41556.380997721375, 38028.71976143974, 41432.305129278306, 38029.28023856028, 40950.261986142075, 40948.852579752565, 41618.33328101748, 41602.16661783861, 41602.16669921879, 41616.333525158116, 41556.38095238097, 41430.309849330355, 38028.42309570313, 41622.26190476195, 38030.71976143974, 41619.19055175783, 41556.95192754837, 41433.165201822914, 38030.56595284599, 41616.190499441975, 41618.333339146215, 41556.95297037761, 41430.30919828869, 40950.285714285674, 40949.28115118113, 40948.85805547801, 41599.166780599015, 41431.59670293897, 41556.380362955744, 41616.33337983632, 41617.04767136348, 41555.66621326266, 41600.59527064736, 40949.28115118113, 41430.166503906265, 41556.3819045294, 41430.30952380953, 41599.59522181924, 40950.285714285674, 41431.023321242545, 38030.56595284599, 41555.9526529948, 40949.29666573657, 38031.52197265626, 41616.190429687515, 41555.952018229174, 41616.33349028088, 40948.86535644528, 38029.3351702009, 41620.83333333335, 41616.19047619048, 41430.30838448661, 38031.35717773438, 41431.025437127966, 40950.288452148394, 41431.02185639881, 41555.5236281622, 40951.86353120344, 40950.272937592956, 41555.95206356957, 38029.90659877233, 41599.16647135421, 41601.30950753352, 41599.309165736646, 41600.594993954655, 41599.59512416299, 41600.023939732186, 40949.69603329608, 41621.6904761905, 41432.30708240328, 41556.38049897695, 38028.71976143974, 41430.16748046876, 38028.42309570313, 40949.28388904384, 38031.35717773438, 41555.522948056176, 38028.71976143974, 41430.59719122022, 40951.833414713496, 41430.166178385414, 41555.95292503722, 40950.27202497204, 40949.28845214839, 40950.29027739021, 41432.30838448663, 41433.16471354168, 41432.31082589285, 40948.86261858254, 41430.31180245535, 41431.02380952381, 40948.86353120346, 41621.6904761905, 40949.71246047242, 41555.52371884301, 38030.01646205358, 40949.27841331841, 40951.848929268934, 41616.33330426899, 41557.6670293899, 41430.58986700152, 40949.726149786045, 41602.166389974016, 41431.59165736608, 40949.7224993024, 40950.29392787383, 41557.666712007085, 38029.01646205358, 41616.33328683038, 41599.30944242938, 38028.52197265626, 41616.3332170759, 41433.161295572936, 41616.333368210566, 41433.16748046875, 40950.99999999995, 41555.52471633185, 41556.952607654406, 41616.333240327396, 41430.596377418144, 38028.71976143974, 41599.166861979225, 41599.30962146582, 38030.56595284599, 40948.868094307996, 41622.97619047622, 40949.0045631045, 41556.381315104176, 38030.56595284599, 41623.833333333365, 41617.61900692894, 41599.5952055432, 41430.31163969495, 41619.190580822185, 41556.95292503722, 41431.02657645088, 41600.595221819225, 41618.333193824416, 41620.83333333335, 41600.02400483634, 41622.26190476194, 41618.33332170759, 41621.26190476193, 38028.69778878349, 41616.19054594493, 41431.02283296131, 41620.97619047621, 41432.30740792412, 38028.983503069205, 41555.95283435641, 41616.19049944197, 41619.19040062314, 38028.52197265626, 41618.333437965026, 41616.19037737167, 41617.04763067336, 41619.19044712611, 38029.44503348215, 41430.16959635416, 41616.33326939175, 41555.95224493119, 41599.309523809585, 41555.95297037761, 38028.47802734376, 40950.987223307246, 41599.30934477312, 41616.1905750093, 41431.596051897315, 41430.30887276786, 41555.523718843026, 41622.97619047623, 38030.73074776786, 41620.83333333335, 41599.595124163, 41556.38154180619, 41599.1666992188, 41431.02315848215, 41617.047723679316, 41617.61895461309, 41555.52303873699, 41616.33317638581, 38030.56595284599, 41432.30887276787, 41555.524489629846, 41555.95151948475, 41619.19055175782, 40950.9817475818, 41433.16503906253, 41616.33326939175, 40951.852579752565, 40950.293927873856, 41599.166796875055, 41620.97619047621, 41618.333344959094, 41599.309426153326, 41556.38049897694, 41600.02400483636, 41602.16671549483, 41616.333437965026, 41602.1662760417, 40950.293927873856, 40949.01095145084, 38031.35717773438, 40951.851667131654, 41556.38122442338, 41555.95188220798, 41555.66666666668, 41556.95297037761, 38029.90659877233, 41600.595091610914, 41623.833333333365, 41599.59546595986, 41555.95256231401, 41616.333408900675, 41619.19052269345, 41622.97619047623, 41555.95238095239, 40951.8471040271, 40951.84984188982, 41430.31066313244, 41555.95229027159, 40951.84984188982, 38028.58789062501, 41432.30838448661, 40948.86900692889, 38028.983503069205, 41600.02389090406, 40948.84984188985, 41431.5918201265, 41555.665669177826, 41432.30968656995, 41602.16678059901, 41555.66748279392, 38028.983503069205, 41432.308872767855, 41599.16681315109, 38028.71976143974, 41433.16699218749, 41600.595124162995, 41558.52358282182, 41621.6904761905, 38030.50003487724, 41556.38122442336, 40951.851667131654, 38029.785749162955, 40949.72249930241, 41621.26190476193, 41599.30971912207, 41555.52358282181, 41431.024623325895, 41430.164713541686, 41599.595726376545, 40948.85714285711, 41431.02657645088, 41599.30940987727, 41431.59735398065, 41616.33339727493, 40948.98631068634, 40949.27841331841, 41616.619059244804, 38028.58789062501, 41433.16764322916, 41557.66748279392, 41558.522812034986, 41601.309409877285, 41430.59605189731, 40951.86261858256, 41431.02657645088, 41599.16652018233, 40949.278413318396, 41431.02429780507, 40949.27841331841, 38031.35717773438, 38028.58789062501, 41432.30789620537, 40951.85257975256, 41599.595238095295, 41621.26190476193, 41620.97619047621, 40950.28206380203, 41431.02136811758, 41430.59328497025, 41555.66616792226, 41616.33328683036, 41619.19043550038, 41616.61906505768, 41430.31163969493, 41600.595172991125, 41599.5952380953, 41617.047514415935, 38029.3351702009, 41623.833333333365, 41555.9523809524, 41600.59484747027, 41600.02403738845, 38030.56595284599, 41620.83333333335, 41616.19033086868, 40949.722499302414, 41622.26190476195, 41599.59518926716, 41432.30952380952, 41616.33335658482, 41599.59531947549, 41601.309312221034, 41556.381133742565, 38028.55493164063, 41618.3333217076, 41433.165690104164, 41555.666530645474, 40948.87083217072, 41432.30838448662, 41616.33328683036, 40949.278413318396, 41555.524943033866, 41622.97619047623, 38029.851667131705, 40950.9817475818, 41600.0234351749, 41599.30950753352, 41622.26190476194, 41557.6671200707, 38031.35717773438, 41618.33335658483, 41557.66621326266, 41601.30960518978, 41616.190423874636, 40951.866269066166, 41616.33327520463, 41616.6189953032, 38029.3351702009, 38028.42309570313, 38029.90659877233, 41430.16699218749, 40948.86900692889, 41430.59654017857, 41600.59531947549, 41620.97619047621, 38029.95054408483, 40950.99269903268, 41618.3333623977, 41431.59507533482, 41556.38104306177, 40949.29666573657, 41617.618948800235, 41619.190575009314, 41430.30952380951, 41600.59504278278, 38028.71976143974, 41600.59566127236, 41558.524444289455, 41556.95151948476, 41622.97619047622, 41432.3074079241, 41430.167154947914, 38028.983503069205, 41431.022670200924, 41557.66775483633, 41599.595026506744, 41617.61892554874, 41555.52462565105, 41618.33335658482, 41556.952834356416, 40951.84710402712, 41599.30937732521, 38028.58789062501, 41602.16658528652, 41431.02332124256, 41555.95328776043, 40950.29484049475, 41620.83333333335, 38030.66482979911, 41602.16669921878, 41616.61900111609, 40951.00912620904, 40950.2775006975, 41558.523310779405, 38030.56595284599, 40951.866269066166, 38030.56595284599, 41558.523764183425, 41555.95210890999, 41599.30952380957, 38029.44503348215, 41599.309670293944, 38031.58789062501, 41599.30952380957, 40951.00912620904, 40949.01277669267, 41430.594261532744, 41555.52462565105, 41599.59474981403, 38031.35717773438, 38030.005475725455, 38028.71976143974, 41600.59489629842, 40949.29666573657, 40949.297578357466, 41619.19037155879, 38030.71976143974, 41616.33342052642, 41556.95133812314, 41433.16617838541, 41555.66766415552, 41433.164713541664, 41617.04751441593, 38029.01646205358, 41599.595417131735, 41557.66634928386, 41431.0238095238, 41600.02390718012, 41600.02418387282, 40948.84984188984, 41431.594912574416, 38029.005475725455, 41431.02283296131, 41618.33322288878, 40951.00912620902, 41616.333478655135, 38028.983503069205, 41557.66575985863, 41616.61907087054, 38028.983503069205, 41599.59561244424, 41558.52322009858, 41430.59556361606, 41555.667120070684, 40949.281151181145, 38029.41207449778, 41600.02377697178, 41555.52453497024, 41601.309491257474, 40948.86809430801, 41432.307407924105, 41617.61903018044, 41599.309230840816, 40948.85257975258, 41617.04764229912, 38028.983503069205, 38028.71976143974, 41617.04758998326, 41599.30932849707, 41556.952607654406, 41620.83333333335, 41617.04759579613, 41602.16682942714, 41622.97619047622, 40949.277500697506, 41430.167643229164, 41618.33320545016, 41599.30945870541, 41555.95319707963, 41617.04761904762, 38029.90659877233, 38030.56595284599, 41556.95274367561, 41601.30934477311, 41616.190429687515, 41555.52417224703, 41600.02367931553, 40950.2775006975, 41555.95192754837, 41555.95274367561, 38029.90659877233, 41555.95165550597, 41556.380272274946, 41617.61903018044, 41622.97619047622, 40950.99178641179, 41599.59548223592, 40949.29027739022, 41622.26190476194, 41621.6904761905, 41620.97619047621, 38028.983503069205, 41622.97619047622, 38030.66482979911, 41556.95269833521, 41601.309833054365, 38028.983503069205, 38031.58789062501, 38031.42309570313, 38030.69778878349, 40950.995436895406, 41623.833333333365, 41556.95170084636, 41430.59605189732, 41617.04770042783, 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14

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Returns: {38028.58789062501, 41600.595205543206, 40948.862618582556, 41599.309344773115, 41430.30984933036, 40948.999999999956, 41623.833333333365, 40950.272024972044, 41433.165527343765, 40951.00456310451, 41599.16699218755, 38030.56595284599, 40951.84345354347, 41430.16861979165, 41431.02494884673, 41602.16702473964, 40949.292102632004, 41430.31277901785, 41617.619134812136, 41430.16959635415, 41430.16422526043, 40950.27202497205, 40948.85988071983, 41618.333304268985, 41616.61900111607, 41617.04754348029, 38028.42309570313, 41556.381269763784, 40948.86170596166, 41556.95229027158, 41558.52317475818, 41600.595547340075, 41431.025762648795, 41430.30854724703, 41556.952698335204, 41431.596051897315, 41616.33345540364, 41623.833333333365, 41616.61898949034, 38028.983503069205, 41599.30960518978, 41430.594261532744, 41558.52362816222, 41622.26190476194, 41555.95233561198, 40948.981747581805, 38028.73074776786, 41555.665306454626, 41622.97619047622, 41620.97619047621, 38028.983503069205, 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Returns: {88577.13322250132, 88576.53345269102, 88478.46700671963, 88262.28708108571, 88547.08860111298, 88576.53341219471, 88476.86680268783, 88586.39999806242, 87369.50180780333, 88577.13326299764, 87371.0831606911, 87370.02673165468, 81549.84443359372, 88576.5333866181, 88576.53342285164, 81550.33491501579, 88475.2007638114, 87371.80479387559, 88260.09021461125, 88259.08979279052, 87372.67877313531, 87371.08023565389, 88476.2666771298, 87369.49632335857, 88476.8660964239, 88586.73334244022, 87370.0311192105, 87369.41795654305, 88588.53335115951, 88588.53337150457, 88259.28804524742, 81551.32540050687, 81552.81112874347, 88587.80001085074, 88475.20019880017, 81549.7730056036, 81550.83967227026, 87369.48608572829, 88261.4228248233, 88475.26648879275, 88549.42210383336, 88577.13330775675, 88588.53334185891, 88589.39998759924, 81551.21112874347, 88575.73325020933, 88475.26706949873, 81550.76825241814, 88575.73325873488, 88475.19975934706, 88259.02433132597, 88586.73333604605, 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81549.83967227026, 81552.15872163317, 87371.09193580273, 88577.13331628233, 88547.08891803073, 88578.73332907063, 88259.6245121063, 81549.83967227026, 88588.53331395713, 88260.09099799264, 88547.62230600508, 88475.79986921039, 81550.3587216332, 88586.73332500157, 88261.42101702011, 81550.02538829984, 88262.2905159118, 88476.26711658292, 88586.73333313962, 88259.62161962118, 88476.26691255116, 88547.08904916912, 87369.69522646962, 88586.40001608233, 88550.28874317954, 88478.46647309806, 88476.86656726645, 88259.0887081086, 88577.86666240398, 88548.68905463319, 88260.68762342665, 88261.42246326266, 88587.8000085256, 81550.02538829984, 88475.466598656, 88550.28871039496, 81553.02538829984, 88260.68870810859, 88548.68912566654, 88475.46675560364, 88475.46677129835, 88477.59983782088, 88475.26699102487, 81552.00635928198, 81549.80158168246, 88577.13329923121, 88260.0888888889, 87371.83258172908, 88586.40001782619, 87372.6787731353, 88547.08915298703, 88586.39995969748, 87372.68462320976, 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15

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Returns: {88548.6889180307, 87369.4787731353, 88586.73331918874, 88478.4663161504, 88577.133248078, 81549.67302594864, 87370.01795654309, 88589.40000736303, 88476.26681838257, 88576.0667348711, 81551.21112874345, 88577.8667029003, 88259.6218606616, 88586.19997946123, 87371.08023565385, 88547.02238796656, 88576.53332480782, 88587.80003177708, 87369.48425758009, 88575.53333333344, 87369.69778587717, 81549.80158168246, 88476.86711658297, 88586.73330523784, 87370.47877313533, 87371.81685965406, 88578.73324807794, 88549.4221092975, 87372.69303269163, 88586.73334127765, 81549.87302594865, 87369.48023565389, 88576.53331415095, 87369.49888276613, 88575.53339514363, 88260.087804207, 88476.86625337134, 88475.26699102491, 88259.29015435114, 88259.08774394689, 88588.53332790807, 87369.70217343299, 87369.49888276613, 88586.39997132319, 88549.42237157424, 87372.6930326917, 88476.26686546682, 81549.83967227026, 88547.08868853858, 88577.86658780546, 88587.20000155013, 88260.08906966922, 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16

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Returns: {187888.550595238, 174075.2125022888, 185673.939283971, 187888.550595238, 187816.22625285556, 187323.6615778242, 185675.31547328463, 174075.3291618347, 187700.74029831673, 174075.3124961853, 187699.9909609841, 187816.22596664424, 187881.36308597395, 187325.5372141157, 187323.6602143424, 187864.26492454894, 185672.6976091663, 174075.21250228884, 187817.72612075802, 187698.49135858455, 174074.12916641234, 187699.36598307308, 187884.11305545637, 187698.24118187325, 187699.36587262843, 187881.36307834464, 174076.0791618347, 187700.74056338373, 187880.9880936032, 187817.10126019435, 187698.11624813997, 174073.5791618347, 185672.81844656865, 187862.0148867653, 185673.44047328463, 187817.72598866047, 187882.48807180495, 187863.51488967176, 187325.5346689497, 187886.675595238, 187862.88987513952, 187862.0148896717, 187324.91075973512, 187881.36308488404, 187889.425595238, 187698.24100516192, 187324.41130512787, 187327.1577600752, 187817.10138495307, 187887.175595238, 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16

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Returns: {187880.73807071513, 187698.1160493398, 187817.10109874175, 187817.72634825934, 187819.35108406428, 187817.72614277428, 174075.2125022888, 187324.41185052058, 187882.48811104198, 187865.1399012975, 185673.94047328463, 187883.23808815365, 187326.28421445578, 187880.73810777214, 187325.5377595084, 187819.35131156558, 174074.16249771116, 174075.9125053406, 187698.8666015626, 174074.1874961853, 185673.0726091663, 174076.91249771116, 187324.03775950844, 187886.050595238, 187862.01491582958, 187880.98809251355, 187817.10096664424, 187817.10118680677, 185675.31963588228, 185673.4464198527, 187861.7649071103, 187818.47614277428, 187325.53475984847, 187816.60134825937, 187701.61589471737, 187819.3512455168, 187889.425595238, 185676.17084960983, 187862.88992164252, 187327.1577600752, 187819.35101067674, 185673.94106794137, 187698.8659609841, 187817.10114277428, 185672.8226091663, 187815.97609874175, 185674.564283971, 187327.15885086064, 187880.6130827041, 187324.91130512784, 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17

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Returns: {397242.1159641426, 396279.4475469694, 397198.31759097107, 397198.7294020945, 397242.7630310444, 397128.98159714596, 393204.69975808065, 393206.3402026903, 396279.91925096815, 397125.45223262475, 397242.115972894, 393202.64289431815, 397228.64537855197, 396279.9175773227, 397228.64540139213, 396932.3748848153, 397126.687320363, 397197.78824496426, 393204.7066172653, 397229.5865766607, 397240.880682479, 397230.7630260116, 370080.6617660519, 397228.7041828475, 397232.41007321456, 393202.6348102791, 393204.07033716067, 397201.5529189349, 397240.7041976416, 370079.17279243434, 397228.6453961829, 370078.7352914247, 396935.610178933, 396931.90449428716, 393206.34289737, 393204.05563890765, 396283.1540569391, 397126.1580453557, 397228.70422932936, 396932.08087788423, 397230.1159816134, 396935.6104794477, 396281.5065448366, 396280.3286446762, 396932.7861038496, 397125.4521580297, 397199.2588206285, 397200.67058146594, 393203.12303641805, 396279.44824432157, 397240.7042038125, 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17

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Returns: {396280.8595557483, 397243.52773255104, 397127.3342996186, 397199.2588157932, 397125.27566506306, 397242.11596605, 370078.67646789516, 397127.33461789036, 397198.7294398086, 370078.64338066976, 396282.2690191915, 393203.11838197114, 396279.9181352045, 397197.8470317465, 396283.15259249933, 397127.3343692405, 370082.2058868405, 397230.76299956517, 397198.02355745557, 370082.2058868405, 397242.76302610757, 370080.0551471707, 397198.3176209489, 396280.86084585014, 370081.37867927516, 397199.2588709139, 397231.5277407093, 397200.67057856504, 396280.85955574823, 397201.5528841219, 370078.7316150662, 397241.58656337345, 370080.6139733928, 397243.52773602924, 370078.6433806697, 397242.1159718842, 370078.7316150662, 397198.3176393226, 397230.7630171959, 397125.45214559726, 397232.4100868387, 370078.7316150662, 396932.37486899877, 397200.67060467467, 396933.3160138362, 397198.31766349846, 393206.3487766712, 396935.60981515195, 397230.7630027708, 397126.1580876262, 396281.5068237777, 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18

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Returns: {835866.8052295265, 837491.9738064358, 837330.8586573045, 837512.9090001483, 837332.303139315, 837329.8587904919, 837513.5756634239, 783997.9923739962, 784001.12963189, 783998.8485853402, 837009.9517289423, 837512.9090031155, 837330.8587017002, 783998.4106750486, 835865.6931403269, 835866.0289188813, 837495.084916457, 837515.2423269119, 783998.8485853405, 837329.3032929924, 837514.0200983319, 835868.80387107, 837331.5255117997, 783997.3257073292, 830110.1936251324, 837493.6404774619, 835866.8071313645, 837516.0201000273, 837446.8058662467, 837516.9089948501, 837514.5756712653, 830108.8562079538, 784001.2995639374, 837329.303221276, 784000.2930297849, 837013.9516598055, 783997.2995639374, 837444.8057573054, 837329.5253547067, 837329.191997468, 837011.0630244182, 837332.3031802956, 830108.8574331076, 837491.9737949918, 837443.8058854716, 837445.3614307739, 837010.2854540511, 837446.8057585871, 837495.0849077378, 830109.1907664405, 837522.0015873013, 837515.2423347532, 830112.5147069297, 835867.3621435382, 837444.3614192391, 830108.6343941162, 837011.0629783268, 830111.6233677337, 830109.1919915944, 837010.6181651528, 837492.6404594783, 830110.8541660312, 837521.2238095235, 837010.2849585701, 837010.2854655737, 837331.5251532177, 783997.4694976805, 837444.8057829386, 837516.9089963336, 837330.8586948704, 837013.9517750336, 837329.1921033349, 837447.6946987428, 837494.3071256004, 837521.2238095235, 837516.9089925189, 830112.5228746206, 830108.6217341956, 783997.12963189, 837512.9089840415, 837521.2238095235, 837519.5571428569, 837492.6404687427, 830108.8468151096, 830108.6245928874, 837515.2423254282, 835866.0267996896, 837012.2853388229, 837010.6187067246, 837516.0201089283, 837492.6404567539, 783997.6786482069, 837010.0635544675, 837495.9738031662, 835866.3612741262, 783997.3387807207, 830108.6286767325, 837495.084927901, 837520.5571428569, 783997.4694976805, 837013.9522705142, 837513.5756621528, 837444.3613961688, 837447.6947038692, 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837329.3032315215, 837443.6946628558, 837495.0849170019, 837516.9089867971, 835867.3610024349, 830108.856207954, 835866.0271257191, 783999.0250532359, 837445.3613974504, 837446.8057829384, 835865.6935750329, 837520.5571428568, 837446.0280743705, 835868.026691013, 837494.3071473982, 837513.2423235211, 837445.3613923239, 837513.020111895, 837516.9090001484, 837513.5756604574, 837514.0200987554, 837011.6179807878, 837443.6946974609, 837521.2238095235, 835866.02864719, 837445.361346184, 837514.0201019342, 837332.3031188244, 837329.5253376315, 837329.8588622086, 837011.6184762685, 837329.1920930897, 835867.3614371408, 835868.8053382031, 837492.0849295361, 837013.9518211248, 830108.6388863461, 837446.8057867838, 837522.8904761901, 830110.8500821857, 837522.0015873013, 830112.5240997742, 837516.0201040537, 837329.8586743798, 837491.9738124302, 783998.4106750487, 837332.3033032377, 837330.8586846249, 837513.575667027, 837333.1919906379, 837513.5756570662, 837444.0280628358, 784001.12963189, 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837514.5756528277, 837012.2850507529, 837333.1920350337, 835866.8068596732, 837445.3613218323, 830108.5228746203, 830108.6339857318, 830109.6323521934, 837493.084924631, 837331.525477649, 837514.5756695702, 837444.3613910421, 830108.5290003886, 784001.2995639372, 837513.0201029939, 837330.8588553783, 837513.5756610928, 830109.1923999791, 830108.5290003886, 837512.9089927303, 837495.973803166, 835869.6938467239, 837512.9089865845, 837331.5255220451, 837513.5756644841, 837514.0201008744, 835865.8075117327, 783997.3257073292, 837010.6185338825, 835866.3620891992, 837444.361401296, 835866.0265279985, 837493.0849050129, 837329.525207859, 837494.3071512127, 837329.8588314728, 830108.5122566227, 837492.0849180914, 837443.8058290783, 837011.6187067245, 837447.6946884891, 837330.8587836619, 837516.9089912478, 837329.3031871255, 837330.8587017001, 837519.2238095235, 837446.805797037, 837495.9738369533, 835868.8073487176, 837013.0631396462, 783997.3649224174, 837493.0848962935, 784001.12963189, 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835866.8066423202, 783999.0119815399, 830108.5179740061, 830112.5147069298, 835869.6930859888, 837495.0849262658, 837519.2238095235, 837516.0200957882, 837333.1920008832, 837330.3032485967, 837443.8058034454, 837011.063324011, 830110.8500821857, 783999.5610029431, 837514.0200940932, 835866.0272887339, 835865.6947704741, 837445.3614012954, 837010.2850277072, 835868.0271257192, 837522.0015873013, 837446.80586112, 830110.839464188, 837443.8058239517, 835866.0271800573, 837513.5756557947, 837445.3613846338, 783997.4106750485, 837443.6947551353, 837492.6404959905, 830108.6315354244, 837514.5756655431, 837492.3071337747, 837330.8588451332, 835865.6935206946, 837516.9090035391, 835866.3612741263, 837010.0631396464, 835868.0272887335, 837493.6404769168, 835865.806261953, 837492.6404829116, 837446.0280102876, 837009.9514869634, 837011.6184762685, 830109.6278599636, 830108.6401114997, 830110.8537576467, 837522.8904761903, 830111.6258180409, 837445.3613282412, 837330.8588690386, 837444.8058380502, 837332.3031017488, 837011.6184762685, 837515.2423264878, 837516.9089961211, 835866.3598613318, 837329.1920282035, 835867.3603503756, 837447.6947397557, 837492.6404638384, 783998.8943362762, 783997.9923739962, 837330.8586504743, 837491.9738206044, 837330.3032520117, 837331.5253820274, 837492.0849142772, 837493.0849273561, 783999.6328972705, 837447.6947500089, 830109.6307186554, 837329.5255561953, 830111.638069577, 837522.0015873013, 837012.2853733915, 837332.3031905408, 837447.6946859257, 830108.8566163382, 835865.692705621, 837513.0201065969, 837012.2848548649, 837519.2238095235, 783997.9335513641, 837332.3031222394, 837445.3613410571, 837329.1922740883, 837447.6947205306, 835867.3594809641, 837492.0849338953, 835866.8064249677, 837491.9738037108, 837446.0280077241, 837447.6946820806, 784001.12963189, 837012.2850968438, 837011.618752816, 783998.4106750486, 837513.020111683, 837444.0280243859, 837516.9089997245, 830108.6254096564, 830108.5290003886, 783998.9335513643, 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18

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Returns: {837013.0625980746, 837012.2850853212, 837011.6184301772, 837011.6188104298, 835865.8050665116, 837521.2238095235, 837520.5571428569, 837492.084894114, 830110.8472234941, 837331.5254161778, 837493.0849120973, 835866.8058815855, 837013.0625174148, 837512.9089971812, 837330.3030300324, 837330.3031973708, 837011.6187989069, 835865.8066966591, 837520.5571428568, 837513.0201087159, 830108.5228746206, 837519.0015873013, 837492.6404970802, 837443.8058213885, 837519.2238095235, 837329.5253410466, 837513.0201142263, 783998.4564259845, 830112.5032721626, 837522.8904761903, 835866.0274517486, 837444.028011569, 830108.5147069298, 835868.8050121733, 837443.8058816267, 783997.4694976805, 837443.8057996004, 784001.3257073293, 830109.6307186552, 837492.0849317156, 835866.0266366749, 837514.5756566427, 783998.4106750487, 835865.6954768714, 783997.6002180309, 837444.3614294922, 830109.6397031153, 837011.6185914966, 783998.4106750486, 837493.0849273561, 835868.027506087, 837444.0280064424, 837522.8904761901, 837521.2238095235, 837492.6404638382, 837519.2238095235, 837445.3613820709, 837492.0849366202, 837443.6947320655, 837011.0627593936, 783997.9923739961, 837446.0280410477, 837010.0627363482, 783997.3583865693, 837013.0630128953, 830108.5147069298, 837330.858841718, 837516.9090022679, 835865.6960202538, 837495.0849529685, 837492.0849120972, 783997.3779958086, 835865.694498783, 837518.8904761901, 835865.8050121734, 837331.5254434985, 837492.3071375893, 784001.12963189, 837010.6183610404, 835866.3609480963, 830111.6229593492, 830111.6143832739, 837330.8588075674, 835866.361708832, 830110.1801484427, 837012.2852581632, 837010.6190178402, 830109.1850490574, 783999.5610029431, 837522.8904761901, 837514.5756606692, 837013.952097672, 835865.6923252533, 837514.5756566424, 837516.0201072327, 837330.85868121, 837495.973793902, 830108.614383274, 837516.9089988766, 837513.0201006632, 837519.5571428569, 837444.805768841, 837329.8587119455, 837514.5756630003, 837329.8588519634, 837495.9738091606, 784001.12963189, 837495.0849006532, 837518.8904761901, 837522.0015873013, 837513.2423385683, 837513.2423336938, 830108.6266348099, 837494.3071256005, 783997.3649224174, 783997.4564259845, 837331.52552546, 783998.9923739957, 837445.3613449023, 837513.2423150439, 837013.9520515811, 837492.6404687425, 830108.5269584659, 783998.025053236, 830108.8455899558, 837444.3614064222, 830110.839464188, 837013.0630474639, 837513.575649013, 830108.5106230845, 837329.8587802468, 830112.511848238, 835868.8056098939, 835866.8065879827, 837010.6182919036, 837010.0625174149, 837446.8058547118, 837513.020109776, 837445.3614384638, 837495.9738200594, 830110.1727975212, 837513.0201029943, 830108.638069577, 837330.858633399, 835866.8066423208, 835868.0282124842, 837010.0628170078, 837009.9517289423, 837445.3613666905, 837329.1920589393, 783998.9335513643, 835868.0283211602, 837515.2423192826, 837447.6946948972, 835865.8050665116, 837520.0015873014, 837516.0201038419, 837516.9089842534, 830108.8611085684, 837520.5571428568, 837443.6947256576, 830108.5265500814, 837492.6404790969, 783997.12963189, 835868.8053925409, 784001.1819186738, 837493.640488361, 837447.6946692641, 783997.4368184403, 837444.028012851, 837520.5571428569, 784000.4368184403, 830111.6278599636, 835869.6949334885, 837443.6947025873, 830110.8553911846, 835867.3616001557, 837446.0280589906, 830112.5106230843, 783997.8485853405, 837446.0280218225, 783998.9335513642, 837010.0631281236, 835866.8049034965, 830108.8602917993, 837333.1919291666, 837012.2850507526, 837329.3031290694, 835867.3619805232, 837495.9738146099, 837516.0201012988, 837329.3032861626, 784000.2930297849, 837493.0848984731, 783998.4694976803, 837329.3032007859, 837513.2423356008, 837009.9520400581, 837444.0280346388, 837491.9738195144, 837445.3613833522, 835869.6941727533, 783997.2276696097, 830111.6278599636, 837492.6404692875, 837493.0849284455, 837495.973805346, 837514.5756583377, 837514.575666179, 837011.6187412929, 837013.0630359411, 837519.0015873013, 837514.5756680868, 837013.9515561002, 837330.3032588421, 837516.9089891282, 837011.6189371807, 783999.5610029431, 837520.0015873013, 837513.2423292429, 837521.2238095235, 837013.9515676231, 835867.3606220672, 837514.020107445, 835868.8052295262, 837443.8057829386, 835869.6928142972, 835867.3598069933, 784000.3779958084, 783998.9335513642, 835867.3617631705, 835865.6946074596, 837010.6181190615, 837519.0015873013, 837329.5254571586, 837515.2423305148, 837446.8058239515, 783998.4564259845, 830109.6303102707, 837012.2850507527, 837492.0849219062, 837522.0015873013, 837516.0201074441, 837329.525460574, 835866.8051751878, 837514.0201089282, 837492.6404741924, 783997.9662306041, 837514.0201080807, 783999.5610029431, 830112.5281836195, 830112.5032721629, 837445.3613795077, 837495.9737988063, 835866.0281038077, 837515.242317799, 784000.3779958084, 783997.4694976805, 837444.0281089753, 837444.3614025771, 837522.0015873013, 783997.6786482068, 830108.6319438089, 837516.0201089286, 837514.0201042658, 837520.5571428569, 837515.2423319982, 837444.3614025773, 783997.3779958086, 837329.1919701474, 837516.0201055377, 837518.8904761901, 830108.6205090417, 837512.9090054469, 837515.2423309388, 837013.0626902566, 837447.694696179, 837513.2423307266, 837519.5571428569, 837516.0201074444, 837493.6404834563, 837012.2850737984, 783999.6590406627, 837329.8586265689, 783998.9335513643, 837444.0280474556, 837329.8587904919, 837513.2423343298, 835868.8058815852, 830112.5208326979, 783998.9662306039, 835869.6926512825, 837012.2854425282, 835869.6936837093, 837495.0849224512, 837010.0628861448, 837491.97381461, 835866.0260389544, 830110.8541660312, 837010.0633124886, 837330.3031290696, 837011.6183956088, 837513.5756636357, 835869.6933033416, 837330.3031837103, 837010.6190178402, 837444.8058124168, 837495.9738146096, 837513.5756678749, 783997.3649224174, 837330.8587529262, 837447.6947089959, 837495.9737949916, 837329.8587870769, 837493.6404731027, 837492.6404861811, 837443.8058688098, 837013.9520054895, 783997.3649224174, 837013.0630359408, 835867.361328464, 837330.3031734651, 830109.1956670553, 835868.8063162913, 830108.6254096564, 837013.0630935549, 837495.0848908443, 837011.06327792, 837514.0201044781, 837443.6947295023, 830108.8541660311, 837522.8904761901, 837492.3071561176, 835866.80696835, 837330.8588143975, 837494.3071512128, 837492.6404709222, 837521.2238095235, 837493.6404976251, 837495.0849322604, 837010.6185223599, 837010.063450762, 837331.525419593, 830109.1727975211, 837329.8586846251, 837330.8586812099, 837011.6179807879, 830108.8590666457, 837516.0201142266, 837515.2423294552, 837514.5756513439, 837494.3071632016, 837010.0630820324, 837329.1920008829, 837513.0201068093, 837329.5253342163, 835865.6945531213, 837446.8058329235, 837492.0849426145, 837010.0631742149, 837443.8058021637, 837445.3614000143, 783998.4106750486, 784000.2407430009, 837494.3071294151, 835865.8049034968, 783998.4106750486, 837444.3613654093, 837513.2423224612, 837330.8587085302, 837520.5571428569, 837443.8058226702, 837493.6404643827, 837329.3031632202, 783999.031589084, 837513.5756555826, 837010.0628861446, 837519.0015873013, 837012.2853618686, 837513.0201104115, 837443.6947077139, 783999.0315890838, 783998.4106750486, 830110.8578414919, 830109.1850490572, 837331.5254025176, 837515.2423222496, 784000.2930297849, 837512.9089927305, 783997.992373996, 830111.6205090419, 837329.1920862596, 830108.6286767325, 783997.3453148734, 837516.909002691, 837446.0281051309, 837329.1921135803, 837519.5571428569, 837011.6189371807, 837495.9738020758, 783998.9335513642, 837013.9519017843, 835866.3627412583, 784001.1819186737, 837331.5253751968, 837333.1921306556, 837010.285154458, 837443.8058252337, 837011.618752816, 830108.852532493, 837516.9089901879, 837331.5253615368, 835865.6941184154, 837329.5252659151, 830108.8574331076, 837514.020106385, 837443.694684644, 837444.361347466, 837010.0631742147, 837446.8058521483, 837013.0631972604, 837333.1919803924, 837445.3613795075, 837515.2423273355, 830108.5000050865, 783997.9923739961, 837514.5756666033, 837333.1920316188, 837495.9737939019, 835866.8037080556, 837491.9738146102, 837332.3031051641, 783998.4368184404, 837329.1921135801, 830109.1923999791, 837515.2423307265, 837513.0201184653, 837445.3613397758, 783997.4694976805, 835866.0259302779, 835868.0279407925, 783997.6786482069, 835868.0271257194, 784000.2930297849, 837491.9738342284, 835866.0272343956, 835865.6946074595, 835866.8048491583, 830111.6258180409, 837010.6180729704, 837492.0849180919, 830108.5208326979, 837443.6946897709, 837494.3071364992, 837492.6404823669, 837011.6182688581, 784000.4564259845, 837446.0280743705, 835865.6946617977, 837011.6183034264, 837492.307166472, 783999.6982557505, 837444.805797037, 783997.3649224174, 830112.5142985453, 837010.0626672114, 784000.2930297849, 830110.845589956, 837516.908989552, 837010.6185454053, 835865.695150842, 837331.5254025176, 783998.966230604, 837443.6947397554, 837492.6404578437, 837447.6946872079, 837521.2238095235, 837493.0849469743, 830108.5179740059, 837010.0629783272, 837447.6946769543, 783997.6328972707, 783997.6786482069, 830111.6339857313, 783998.4106750487, 837493.6404741921, 837522.8904761903, 830108.8553911847, 835866.0279407928, 837333.1920999198, 837447.6947166857, 837443.8057675586, 837329.8588724536, 835865.8056098942, 837492.6404572985, 837329.8585685128, 837443.8058265152, 783999.5610029431, 835866.0292992489, 837443.6946731091, 837492.6404938103, 837444.0280064428, 837492.3071419492, 837013.9520054897, 830112.5061308545, 837513.0201171938, 837493.6404829118, 835867.361871847, 837330.3031017492, 837513.5756587619, 837329.8586982853, 837446.028070526, 837011.6187297702, 835866.0288102046, 837010.2853273002, 830112.5204243134, 835868.8038710704, 830110.1858658263, 837445.3613615639, 835866.0294622637, 837515.2423152558, 837515.2423241572, 837010.0629091903, 783997.3779958086, 835868.0289188811, 837329.1921204103, 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19

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Returns: {1761267.6942403498, 1761156.7067797282, 1760449.3504845796, 1747615.119023598, 1761265.1679164404, 1761157.5488469847, 1758426.404453517, 1761266.2205504407, 1760980.0174926638, 1761277.65914642, 1758426.9832505826, 1761264.3258118024, 1747616.013244519, 1761231.466170815, 1761231.20300842, 1761232.308281841, 1761266.9047657298, 1758429.3504477544, 1761264.5363357759, 1758426.9832720547, 1655642.535088855, 1761235.255619111, 1760448.4562513088, 1761277.7117793374, 1761232.8872241671, 1761160.0752033442, 1655638.7076017568, 1761156.9173034828, 1761278.974937634, 1761268.588977192, 1758425.5613820301, 1761160.9698906478, 1655639.3040932526, 1761265.641600262, 1655638.8391817086, 1761159.285726243, 1760446.9820379214, 1758429.3491594563, 1760445.5612242727, 1655641.6403520128, 1760977.0702004412, 1760975.9650122926, 1761266.9047540962, 1760446.9824732118, 1655641.0847946727, 1747611.7493987295, 1761277.8696747662, 1761232.8872196667, 1655639.8245607323, 1761264.3784497837, 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Returns: {1760448.4561872955, 1761266.2205595747, 1761158.6015161444, 1761266.2205513767, 1760978.333285709, 1655638.7076017568, 1758429.3498250772, 1760448.4559568476, 1761160.0752217069, 1761266.2205441939, 1760977.0701599608, 1760978.3333047593, 1760976.5964578914, 1761158.6014768558, 1747611.7426917558, 1761231.8345886269, 1761235.2556367577, 1758426.9830573383, 1761278.1328310312, 1655642.6988302958, 1758425.5618329337, 1761230.9924608564, 1758425.0871180864, 1747614.3378046507, 1761231.2030096792, 1761158.6015046136, 1760975.964895612, 1760447.6668459051, 1761231.4661713562, 1758425.562348253, 1655638.558478883, 1761231.2030064391, 1761160.9698462363, 1758425.5609740699, 1761231.0450884732, 1758428.4564838903, 1760979.12271415, 1655638.9795315145, 1758425.1412956216, 1655639.821636778, 1761277.8696759925, 1761232.887222547, 1747616.0055057032, 1758428.4568489078, 1655640.298245746, 1760975.807019925, 1761235.2556416192, 1761231.0451289883, 1758427.6664734157, 1760978.3334178678, 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Returns: {3690383.2220675317, 3695334.088891964, 3690381.722136282, 3695310.983336194, 3695333.888889333, 3670003.944737236, 3670000.942105859, 3694862.3888644255, 3694858.788901538, 3695340.438888902, 3486506.8394739223, 3690382.621655035, 3694859.788955525, 3693970.2056197743, 3695338.2888894626, 3695260.00001453, 3694862.3888222524, 3695338.2888883133, 3690381.4218612825, 3695149.8166937013, 3695148.316643081, 3694859.788891417, 3695261.3999928036, 3486511.2500005797, 3695149.016648834, 3694860.888842497, 3486507.081578643, 3695340.438888902, 3693973.5055491375, 3695315.3833293053, 3690384.7226519007, 3694858.8889032262, 3690383.921414412, 3695146.216683347, 3690383.223064395, 3670004.8435677346, 3695315.3833289873, 3695310.8833389464, 3695147.716708657, 3486509.6394739216, 3695147.7166666645, 3695335.888888231, 3695260.2000102783, 3486510.571052367, 3693972.7055298737, 3693971.4054592373, 3670000.9587712544, 3486506.9868417806, 3693970.505330811, 3695264.3999847732, 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20

{"01101111001001001111", "01011100001001010111", "00000000000000010000", "10111111101111111011", "11101111111011010100", "11111010110000000001", "11000000100001100110", "11111001010011101100", "11111111111111110111", "01000011100010001000", "01101111110111011111", "11110111111111111110", "11111111111010110111", "00100010000010000010", "01000000000010000000", "01110011111011000010", "11111101110001110111", "11010010000000100000", "10010101100000101000" }

{7, 6, 1, 1, 7, 9, 0, 8, 16, 16, 14, 4, 9, 8, 11, 3, 12, 15, 11 }

Returns: {3695311.183337145, 3695341.038888902, 3486510.5078947134, 3690384.721723784, 3695146.5166465323, 3695333.788886834, 3695264.399989025, 3695310.983335239, 3486508.9763158862, 3695148.3166833473, 3693970.9054913437, 3670001.842105858, 3690381.122961273, 3693970.005510611, 3670000.4482457424, 3695335.888887129, 3694859.0889757653, 3694860.2888290025, 3695260.0000010678 }

Statistics

Problem Statement for "BitToggler"

Problem Statement

Definition

Notes

Constraints

Examples