Statistics

Problem Statement for "CandyOnDisk"

Problem Statement

Fox Ciel is playing the "DJ Box" set of levels in the "Cut the Rope" game on her smartphone. In the current level, she is facing the following problem:


The level can be seen as a two-dimensional plane that contains a single candy and some disks. You are given the description of the level: int[]s x, y, and r; and ints sx, sy, tx, and ty.


The int[]s x, y, and r describe the disks: For each i, there is a disk centered at (x[i], y[i]) with radius r[i]. Some of the disks may overlap. The candy is initially located at (sx, sy), and the goal of the game is to move it to (tx, ty).


The game is played by rotating some of the disks, one after another. More precisely, in each step, Ciel may choose any disk that currently contains the candy, and rotate the disk by any desired angle around its center. The candy rotates with the chosen disk. Other disks are ignored during the rotation. (If the candy is located exactly on the border of a disk, we still consider it to be on the disk.)


Return "YES" if she can solve the level in finitely many steps, and "NO" otherwise.

Definition

Class:
CandyOnDisk
Method:
ableToAchieve
Parameters:
int[], int[], int[], int, int, int, int
Returns:
String
Method signature:
String ableToAchieve(int[] x, int[] y, int[] r, int sx, int sy, int tx, int ty)
(be sure your method is public)

Constraints

  • x will contain between 1 and 50 elements, inclusive.
  • x, y, and r will each contain the same number of elements.
  • Each element in x, y will be between -1,000,000,000 and 1,000,000,000, inclusive.
  • Each element in r will be between 1 and 1,000,000,000, inclusive.
  • sx, sy, tx and ty will be between -1,000,000,000 and 1,000,000,000, inclusive.
  • The answer will not change if we increase the radii of all disks by 1e-3. Neither will it change if we decrease the radii of all disks by 1e-3.

Examples

  1. {0, 4}

    {0, 0}

    {3, 3}

    -1

    -2

    6

    1

    Returns: "YES"

    You have two disks. You can win the level by first rotating the yellow disk to move the candy from S to A = (2,1), and then rotating the green disk to move the candy from A to T.

  2. {0, 3}

    {0, 0}

    {5, 3}

    -4

    0

    -2

    0

    Returns: "YES"

    This time you need 3 steps: S->A->B->T.

  3. {0}

    {0}

    {1}

    0

    0

    571

    571

    Returns: "NO"

    The target point is outside of the only disk, so we clearly cannot reach it.

  4. {0}

    {0}

    {1}

    571

    571

    571

    571

    Returns: "YES"

  5. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}

    {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}

    {2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2}

    2

    2

    19

    19

    Returns: "YES"

  6. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}

    {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}

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

    2

    2

    19

    19

    Returns: "NO"

  7. {1, 2}

    {1, 2}

    {2, 2}

    1

    1

    2

    2

    Returns: "YES"

  8. {-5,-2,-3,5}

    {-2,7,3,4}

    {3,4,2,4}

    -5

    5

    2

    -6

    Returns: "NO"

  9. {-1}

    {1}

    {1}

    -1

    0

    999

    999

    Returns: "NO"

  10. {1,6}

    {-4,-4}

    {8,6}

    3

    -2

    -7

    -2

    Returns: "NO"

  11. {-1,0}

    {1,-2}

    {4,2}

    99

    99

    99

    99

    Returns: "YES"

  12. {4,3}

    {3,-4}

    {1,7}

    -3

    -3

    -2

    4

    Returns: "NO"

  13. {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49}

    {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49}

    {4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4}

    0

    0

    49

    49

    Returns: "YES"

  14. {0, 5, 6, 2, -3, -4, -6, -8, -3, 0, -3, 1, 4, 9, 12, 12, 7, 10, 12, 7, 10, 5, 3, 3, 1, -2, -1, -2, -2, -2, 2, 6, 11, 9, 8, 11, 10, 14, 18, 21, 24, 24, 19, 17, 16, 15, 10, 15, 17, 20}

    {0, 5, 6, 2, -3, -4, -6, -8, -3, 0, -3, 1, 4, 9, 12, 12, 7, 10, 12, 7, 10, 5, 3, 3, 1, -2, -1, -2, -2, -2, 2, 6, 11, 9, 8, 11, 10, 14, 18, 21, 24, 24, 19, 17, 16, 15, 10, 15, 17, 20}

    {10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10}

    0

    0

    20

    15

    Returns: "YES"

  15. {0, 0, 0, 1, 4, 4, 4, 4, 9, 11, 12, 17, 18, 19, 21, 23, 27, 27, 30, 30, 31, 33, 36, 40, 43, 48, 53, 58, 63, 63, 63, 63, 68, 70, 72, 77, 79, 82, 84, 86, 90, 92, 95, 99, 102, 102, 102, 102, 104, 108}

    {0, 3, 5, 5, 10, 13, 13, 13, 17, 19, 23, 24, 24, 29, 32, 34, 36, 41, 43, 47, 51, 53, 53, 58, 62, 64, 67, 71, 71, 71, 75, 79, 80, 82, 85, 85, 85, 89, 90, 91, 95, 97, 100, 100, 103, 104, 105, 107, 110, 112}

    {10, 12, 14, 17, 17, 10, 15, 13, 12, 13, 16, 15, 16, 17, 11, 18, 10, 17, 15, 13, 11, 16, 14, 10, 16, 14, 20, 17, 10, 19, 17, 10, 18, 14, 12, 14, 16, 13, 17, 18, 12, 12, 15, 17, 11, 14, 12, 20, 15, 20}

    -4

    8

    91

    92

    Returns: "YES"

  16. {0, 4, 9, 13, 18, 19, 20, 20, 23, 25, 29, 29, 29, 30, 30, 31, 34, 37, 41, 44, 47, 49, 54, 57, 58, 59, 60, 62, 65, 68, 72, 73, 77, 81, 86, 88, 89, 92, 92, 94, 95, 97, 97, 100, 102, 106, 108, 113, 114, 114}

    {0, 1, 3, 6, 8, 12, 12, 17, 17, 18, 21, 22, 25, 29, 29, 34, 38, 43, 43, 44, 44, 47, 49, 50, 55, 57, 57, 60, 60, 62, 63, 68, 71, 73, 75, 76, 79, 83, 86, 88, 92, 92, 92, 92, 93, 98, 102, 107, 110, 114}

    {10, 14, 17, 18, 17, 17, 10, 10, 12, 14, 15, 20, 13, 17, 17, 12, 11, 18, 16, 11, 16, 18, 18, 14, 16, 12, 12, 14, 10, 18, 11, 13, 11, 12, 20, 20, 14, 10, 15, 15, 18, 18, 20, 19, 18, 10, 10, 19, 15, 15}

    26

    17

    94

    94

    Returns: "YES"

  17. {0, 4, 4, 5, 8, 9, 14, 15, 16, 19, 20, 21, 26, 30, 32, 32, 34, 38, 40, 40, 42, 44, 46, 48, 51, 53, 53, 57, 57, 62, 67, 69, 70, 72, 74, 76, 80, 80, 85, 86, 90, 94, 95, 100, 104, 104, 104, 109, 109, 112}

    {0, 2, 7, 9, 10, 15, 15, 15, 16, 17, 19, 24, 24, 27, 31, 31, 34, 37, 42, 47, 49, 49, 49, 52, 53, 55, 59, 59, 63, 68, 72, 73, 73, 73, 74, 79, 82, 83, 84, 84, 89, 94, 98, 100, 101, 106, 111, 112, 112, 113}

    {10, 17, 10, 14, 15, 13, 16, 10, 10, 12, 17, 18, 18, 16, 16, 17, 20, 15, 18, 17, 20, 15, 11, 13, 15, 12, 16, 10, 11, 20, 12, 17, 15, 17, 12, 17, 13, 19, 11, 19, 18, 17, 17, 11, 18, 17, 10, 20, 20, 10}

    -5

    5

    91

    92

    Returns: "YES"

  18. {0, 3, 8, 10, 10, 15, 17, 20, 23, 24, 24, 29, 33, 33, 33, 35, 35, 40, 40, 45, 48, 50, 55, 57, 57, 58, 62, 63, 65, 65, 65, 68, 73, 75, 79, 83, 84, 87, 90, 94, 94, 98, 100, 103, 104, 108, 110, 112, 115, 118}

    {0, 0, 3, 8, 11, 16, 17, 17, 19, 24, 28, 33, 34, 34, 35, 39, 43, 45, 45, 46, 51, 52, 57, 62, 65, 65, 69, 71, 76, 77, 81, 84, 88, 93, 95, 96, 101, 102, 106, 107, 109, 113, 113, 115, 119, 121, 122, 127, 132, 133}

    {10, 12, 10, 19, 16, 18, 14, 10, 14, 10, 11, 10, 14, 10, 13, 19, 10, 12, 19, 20, 15, 17, 17, 11, 13, 14, 14, 14, 14, 18, 19, 14, 20, 20, 20, 12, 11, 12, 11, 18, 10, 11, 17, 15, 19, 19, 11, 12, 18, 16}

    4

    -4

    115

    135

    Returns: "YES"

  19. {0, 1, 4, 7, 11, 11, 11, 14, 19, 24, 26, 29, 32, 35, 37, 41, 45, 47, 49, 54, 55, 55, 56, 59, 60, 62, 63, 67, 70, 75, 75, 75, 79, 82, 86, 88, 91, 95, 98, 102, 107, 107, 109, 114, 115, 117, 121, 126, 130, 132}

    {0, 4, 9, 10, 15, 17, 22, 27, 30, 34, 39, 41, 44, 44, 45, 47, 48, 53, 56, 60, 65, 70, 73, 76, 81, 83, 87, 89, 92, 96, 101, 102, 105, 105, 107, 110, 110, 111, 116, 118, 123, 125, 126, 126, 130, 132, 133, 136, 139, 144}

    {10, 14, 20, 19, 16, 19, 14, 19, 19, 14, 10, 17, 20, 14, 20, 17, 13, 14, 10, 13, 20, 11, 14, 17, 11, 11, 15, 11, 20, 10, 11, 15, 10, 10, 15, 16, 13, 11, 19, 18, 17, 20, 15, 14, 12, 12, 20, 17, 10, 20}

    19

    34

    109

    122

    Returns: "YES"

  20. {0, 2, 5, 7, 10, 14, 18, 19, 21, 26, 30, 34, 37, 40, 45, 45, 49, 49, 53, 58, 60, 64, 67, 70, 72, 76, 81, 82, 85, 87, 92, 96, 96, 100, 100, 102, 103, 104, 108, 111, 113, 115, 117, 117, 121, 124, 129, 130, 133, 137}

    {0, 0, 3, 5, 8, 11, 16, 17, 17, 22, 27, 27, 32, 32, 32, 36, 37, 38, 39, 39, 41, 43, 44, 48, 50, 52, 54, 56, 56, 60, 63, 68, 70, 70, 73, 78, 81, 82, 83, 84, 88, 89, 91, 93, 97, 97, 101, 104, 104, 109}

    {10, 13, 18, 18, 14, 20, 12, 10, 20, 15, 16, 18, 15, 14, 16, 16, 16, 16, 17, 17, 19, 20, 15, 14, 11, 19, 17, 19, 10, 18, 10, 13, 20, 19, 20, 12, 19, 13, 20, 16, 10, 15, 19, 12, 10, 11, 14, 17, 12, 20}

    16

    8

    125

    95

    Returns: "YES"

  21. {0, 3, 3, 7, 12, 15, 16, 21, 26, 29, 33, 35, 40, 44, 46, 50, 52, 52, 55, 58, 61, 63, 68, 68, 69, 71, 74, 76, 80, 85, 85, 90, 93, 97, 99, 104, 109, 111, 115, 120, 125, 129, 134, 137, 139, 139, 140, 142, 142, 146}

    {0, 4, 5, 9, 10, 11, 12, 15, 19, 20, 21, 26, 31, 34, 37, 40, 45, 45, 46, 51, 53, 53, 54, 54, 58, 60, 60, 60, 65, 65, 68, 70, 73, 77, 78, 83, 87, 90, 94, 96, 99, 100, 105, 110, 112, 112, 114, 119, 119, 119}

    {10, 12, 12, 20, 18, 15, 15, 17, 16, 19, 13, 18, 14, 18, 10, 15, 16, 10, 18, 16, 18, 20, 17, 13, 14, 12, 11, 19, 17, 12, 17, 19, 14, 12, 19, 15, 18, 11, 16, 11, 17, 17, 11, 19, 18, 15, 14, 19, 19, 12}

    28

    17

    140

    120

    Returns: "YES"

  22. {0, 4, 6, 11, 16, 20, 22, 27, 29, 29, 34, 39, 40, 40, 44, 45, 48, 53, 56, 60, 63, 65, 66, 67, 69, 72, 74, 78, 83, 84, 87, 89, 92, 97, 100, 103, 103, 107, 110, 115, 119, 119, 119, 124, 127, 127, 132, 135, 138, 138}

    {0, 0, 4, 5, 8, 9, 10, 13, 18, 20, 20, 21, 26, 26, 28, 29, 32, 32, 35, 35, 37, 38, 39, 43, 46, 47, 47, 50, 53, 54, 57, 61, 62, 64, 65, 67, 69, 73, 77, 79, 82, 83, 85, 90, 95, 95, 99, 104, 104, 104}

    {10, 15, 17, 11, 13, 10, 18, 17, 15, 11, 14, 19, 20, 12, 19, 13, 19, 16, 11, 20, 14, 15, 14, 20, 18, 20, 17, 11, 18, 13, 12, 20, 12, 16, 15, 10, 14, 19, 18, 13, 18, 11, 17, 18, 19, 16, 18, 10, 10, 17}

    24

    10

    137

    107

    Returns: "YES"

  23. {0, 4, 4, 7, 11, 16, 19, 21, 23, 24, 26, 30, 32, 33, 38, 42, 45, 45, 45, 50, 53, 54, 58, 61, 63, 67, 69, 74, 74, 79, 79, 84, 89, 90, 90, 90, 91, 94, 98, 100, 105, 105, 105, 107, 110, 114, 118, 119, 120, 120}

    {0, 2, 2, 5, 5, 5, 10, 14, 14, 18, 22, 26, 31, 36, 41, 44, 46, 49, 49, 50, 53, 54, 56, 60, 60, 61, 63, 66, 69, 73, 76, 80, 80, 81, 81, 83, 87, 87, 88, 91, 93, 97, 98, 102, 105, 109, 111, 114, 116, 120}

    {10, 14, 12, 19, 14, 18, 17, 16, 13, 16, 20, 18, 19, 16, 11, 17, 17, 17, 10, 18, 11, 20, 20, 12, 11, 19, 20, 18, 14, 18, 18, 16, 12, 18, 19, 13, 16, 18, 19, 18, 14, 11, 11, 16, 20, 17, 12, 15, 15, 17}

    22

    11

    124

    109

    Returns: "YES"

  24. {0, 4, 6, 8, 13, 15, 15, 18, 18, 21, 24, 28, 29, 30, 30, 31, 34, 35, 35, 40, 40, 41, 43, 44, 45, 48, 48, 48, 48, 53, 57, 60, 63, 64, 67, 70, 73, 78, 82, 83, 88, 89, 93, 94, 95, 100, 100, 104, 106, 111}

    {0, 4, 6, 6, 9, 9, 11, 15, 18, 21, 22, 22, 24, 26, 31, 35, 36, 36, 40, 44, 48, 49, 52, 57, 62, 67, 72, 73, 75, 79, 84, 85, 89, 89, 93, 94, 97, 97, 101, 105, 105, 110, 110, 113, 117, 118, 121, 122, 126, 131}

    {10, 16, 18, 11, 19, 16, 10, 19, 11, 11, 17, 12, 10, 11, 18, 10, 15, 14, 12, 18, 17, 12, 13, 10, 13, 14, 10, 16, 16, 17, 19, 16, 14, 18, 20, 13, 17, 12, 15, 16, 18, 13, 20, 11, 18, 16, 10, 19, 19, 20}

    6

    11

    88

    102

    Returns: "YES"

  25. {0, 4, 9, 11, 12, 15, 15, 18, 23, 28, 29, 30, 34, 36, 38, 39, 42, 42, 43, 43, 44, 44, 49, 51, 55, 57, 62, 64, 67, 67, 72, 74, 74, 77, 81, 83, 83, 88, 89, 89, 91, 95, 95, 95, 98, 102, 106, 108, 111, 114}

    {0, 1, 2, 3, 6, 11, 15, 18, 18, 21, 25, 26, 29, 34, 36, 37, 42, 46, 47, 52, 55, 59, 61, 64, 69, 71, 74, 76, 76, 79, 79, 83, 86, 90, 95, 97, 99, 99, 102, 107, 110, 115, 119, 124, 124, 129, 132, 132, 137, 138}

    {10, 17, 16, 17, 14, 11, 19, 15, 14, 14, 16, 14, 13, 13, 17, 16, 16, 17, 10, 14, 12, 10, 18, 19, 19, 16, 20, 20, 13, 17, 15, 11, 17, 17, 20, 14, 19, 20, 17, 18, 15, 20, 20, 14, 13, 19, 15, 19, 19, 11}

    14

    14

    113

    134

    Returns: "YES"

  26. {0, 0, 3, 6, 6, 6, 10, 12, 13, 13, 15, 15, 18, 23, 25, 29, 29, 32, 35, 36, 36, 38, 41, 45, 50, 53, 53, 57, 61, 61, 66, 66, 69, 69, 70, 72, 74, 75, 75, 77, 81, 84, 89, 92, 95, 96, 99, 104, 104, 104}

    {0, 0, 3, 5, 9, 12, 13, 16, 16, 19, 19, 20, 20, 20, 22, 27, 29, 34, 36, 41, 41, 41, 44, 47, 47, 49, 53, 55, 56, 60, 63, 64, 67, 72, 75, 76, 80, 85, 90, 91, 96, 100, 105, 105, 106, 106, 110, 114, 115, 120}

    {10, 18, 10, 12, 13, 13, 12, 11, 18, 18, 15, 16, 14, 11, 13, 12, 17, 16, 20, 18, 12, 14, 15, 20, 13, 17, 13, 14, 13, 16, 11, 13, 18, 19, 16, 13, 17, 17, 11, 13, 19, 16, 19, 10, 11, 16, 11, 14, 19, 14}

    15

    18

    105

    111

    Returns: "YES"

  27. {0, 2, 3, 8, 8, 10, 15, 16, 18, 20, 23, 27, 27, 27, 28, 28, 29, 33, 33, 33, 33, 36, 38, 38, 43, 48, 49, 53, 56, 60, 61, 66, 70, 74, 75, 80, 83, 85, 85, 86, 89, 92, 93, 94, 98, 100, 103, 106, 111, 113}

    {0, 4, 7, 8, 11, 11, 12, 16, 20, 21, 21, 24, 24, 28, 30, 35, 40, 42, 45, 45, 45, 50, 52, 56, 58, 62, 64, 64, 67, 68, 69, 70, 72, 75, 76, 81, 86, 86, 90, 92, 96, 97, 99, 101, 101, 104, 109, 110, 111, 112}

    {10, 14, 13, 11, 18, 18, 10, 18, 10, 18, 17, 13, 15, 15, 14, 16, 20, 14, 17, 14, 12, 14, 15, 19, 16, 12, 20, 12, 13, 14, 17, 17, 10, 17, 12, 12, 17, 12, 14, 19, 19, 16, 20, 11, 17, 11, 20, 19, 14, 15}

    19

    20

    98

    106

    Returns: "YES"

  28. {0, 5, 8, 9, 10, 13, 16, 21, 23, 27, 29, 32, 37, 37, 38, 38, 40, 41, 42, 44, 46, 50, 53, 56, 59, 63, 64, 68, 73, 74, 77, 81, 82, 85, 89, 94, 96, 99, 100, 102, 102, 102, 102, 105, 108, 112, 114, 117, 118, 119}

    {0, 2, 3, 6, 11, 14, 14, 17, 22, 24, 28, 32, 35, 35, 39, 43, 48, 49, 52, 57, 57, 61, 63, 67, 70, 73, 74, 77, 81, 86, 90, 92, 93, 98, 102, 106, 110, 112, 114, 114, 119, 123, 126, 130, 130, 131, 135, 140, 145, 147}

    {10, 11, 19, 16, 19, 13, 12, 17, 20, 14, 12, 11, 12, 12, 18, 12, 11, 18, 16, 16, 15, 14, 10, 20, 20, 17, 14, 20, 16, 13, 15, 10, 13, 15, 10, 19, 19, 15, 15, 16, 16, 11, 19, 19, 16, 20, 15, 14, 14, 12}

    9

    1

    121

    151

    Returns: "YES"

  29. {0, 4, 4, 6, 6, 9, 13, 14, 19, 19, 22, 25, 27, 28, 33, 36, 38, 40, 44, 47, 50, 50, 52, 56, 60, 65, 68, 68, 73, 77, 79, 83, 86, 86, 89, 92, 96, 101, 101, 104, 105, 105, 107, 107, 111, 113, 116, 121, 124, 129}

    {0, 5, 7, 8, 9, 14, 16, 18, 18, 22, 23, 24, 25, 29, 31, 35, 40, 43, 48, 48, 48, 50, 54, 56, 58, 61, 66, 66, 67, 72, 74, 78, 79, 79, 79, 82, 85, 88, 89, 90, 95, 96, 97, 98, 102, 103, 104, 106, 110, 110}

    {10, 19, 10, 10, 11, 17, 19, 15, 10, 13, 19, 11, 15, 14, 10, 12, 12, 17, 19, 11, 16, 18, 13, 19, 17, 15, 12, 10, 19, 13, 15, 18, 11, 10, 17, 16, 19, 15, 14, 17, 13, 12, 11, 15, 12, 19, 14, 16, 14, 17}

    4

    6

    110

    94

    Returns: "YES"

  30. {0, 1, 2, 2, 2, 3, 6, 11, 13, 15, 18, 22, 24, 25, 29, 34, 36, 37, 41, 43, 43, 44, 49, 52, 53, 57, 60, 63, 66, 71, 72, 76, 79, 79, 83, 87, 90, 92, 92, 95, 97, 102, 104, 105, 107, 108, 110, 115, 120, 123}

    {0, 4, 4, 8, 8, 12, 14, 16, 19, 19, 21, 26, 26, 26, 28, 31, 36, 38, 39, 41, 41, 42, 42, 46, 48, 48, 53, 58, 63, 66, 68, 73, 74, 74, 76, 80, 84, 87, 90, 93, 97, 98, 99, 103, 105, 105, 108, 112, 115, 117}

    {10, 11, 20, 18, 18, 12, 18, 14, 10, 13, 19, 10, 18, 16, 19, 10, 17, 16, 16, 14, 19, 12, 13, 13, 20, 10, 17, 17, 18, 11, 10, 17, 10, 19, 10, 19, 18, 13, 20, 16, 14, 12, 14, 14, 14, 13, 14, 19, 13, 16}

    1

    9

    110

    99

    Returns: "YES"

  31. {0, 0, 4, 6, 11, 12, 15, 19, 22, 24, 27, 31, 32, 36, 36, 36, 38, 41, 44, 48, 53, 57, 57, 57, 62, 65, 67, 71, 73, 74, 75, 78, 81, 83, 84, 87, 92, 95, 98, 101, 104, 105, 106, 108, 108, 110, 112, 113, 116, 118}

    {0, 4, 5, 6, 8, 13, 18, 22, 24, 29, 34, 38, 42, 43, 46, 48, 50, 50, 51, 56, 57, 59, 60, 62, 65, 67, 68, 69, 69, 74, 76, 77, 80, 81, 84, 89, 91, 94, 94, 95, 100, 103, 105, 110, 114, 118, 121, 126, 131, 135}

    {10, 14, 18, 17, 13, 15, 20, 17, 17, 19, 16, 14, 11, 18, 13, 20, 20, 18, 11, 10, 15, 18, 15, 17, 11, 12, 13, 17, 16, 20, 18, 13, 16, 10, 18, 20, 12, 11, 18, 15, 10, 14, 11, 20, 14, 17, 20, 10, 19, 14}

    14

    21

    115

    137

    Returns: "YES"

  32. {0, 2, 4, 4, 7, 10, 13, 15, 20, 24, 25, 30, 35, 37, 37, 39, 41, 45, 49, 51, 54, 56, 61, 66, 69, 71, 72, 77, 78, 79, 81, 82, 82, 82, 82, 85, 85, 88, 90, 94, 94, 98, 102, 107, 109, 110, 111, 114, 114, 119}

    {0, 5, 7, 8, 8, 8, 13, 15, 17, 18, 19, 22, 25, 29, 30, 30, 33, 37, 38, 39, 40, 43, 48, 52, 57, 59, 63, 63, 67, 69, 72, 74, 78, 79, 80, 84, 85, 90, 91, 91, 92, 97, 102, 104, 106, 110, 112, 115, 115, 116}

    {10, 10, 10, 17, 18, 12, 19, 18, 10, 12, 19, 11, 14, 17, 11, 14, 15, 13, 17, 16, 20, 10, 18, 13, 17, 13, 11, 15, 11, 17, 16, 16, 14, 19, 13, 14, 14, 14, 20, 19, 14, 13, 18, 12, 19, 14, 19, 10, 13, 12}

    7

    0

    115

    108

    Returns: "YES"

  33. {0, 4, 5, 6, 11, 15, 16, 20, 21, 22, 25, 29, 30, 32, 35, 39, 41, 45, 46, 49, 52, 56, 56, 59, 63, 66, 66, 67, 70, 75, 78, 81, 81, 81, 86, 86, 88, 91, 91, 95, 99, 104, 104, 108, 109, 110, 110, 110, 113, 116}

    {0, 1, 5, 6, 10, 11, 16, 20, 24, 28, 28, 28, 32, 36, 37, 42, 43, 47, 49, 53, 54, 59, 63, 63, 68, 70, 72, 76, 80, 81, 86, 87, 92, 97, 98, 99, 102, 105, 109, 109, 114, 117, 119, 122, 123, 124, 127, 130, 131, 136}

    {10, 12, 11, 19, 20, 17, 12, 19, 16, 13, 12, 12, 11, 11, 15, 19, 13, 17, 16, 14, 19, 19, 10, 19, 17, 10, 16, 19, 10, 11, 10, 12, 17, 14, 18, 12, 20, 15, 20, 10, 13, 19, 10, 13, 10, 10, 18, 19, 15, 12}

    15

    17

    116

    132

    Returns: "YES"

  34. {0, 3, 8, 12, 13, 18, 20, 25, 25, 26, 28, 33, 35, 37, 37, 42, 45, 47, 49, 53, 55, 55, 57, 60, 61, 66, 69, 73, 76, 79, 80, 84, 89, 93, 94, 95, 97, 97, 100, 100, 105, 105, 105, 109, 109, 110, 114, 115, 119, 121}

    {0, 4, 6, 8, 13, 17, 21, 25, 27, 32, 36, 40, 43, 43, 43, 43, 48, 52, 52, 57, 57, 61, 62, 62, 65, 65, 67, 71, 76, 80, 81, 83, 87, 90, 90, 90, 90, 94, 99, 101, 103, 107, 112, 113, 116, 116, 120, 124, 125, 128}

    {10, 13, 12, 14, 14, 10, 17, 20, 15, 15, 10, 14, 18, 18, 12, 18, 18, 20, 19, 16, 14, 18, 16, 20, 11, 20, 16, 15, 18, 12, 16, 11, 17, 13, 18, 19, 20, 11, 10, 14, 13, 18, 12, 10, 18, 18, 14, 17, 13, 18}

    18

    13

    122

    127

    Returns: "YES"

  35. {0, 5, 7, 9, 13, 14, 18, 21, 23, 24, 26, 26, 31, 36, 38, 39, 39, 44, 46, 51, 55, 59, 63, 67, 72, 76, 76, 77, 81, 84, 84, 87, 89, 89, 92, 95, 96, 100, 100, 101, 103, 104, 109, 110, 113, 113, 116, 117, 120, 121}

    {0, 0, 3, 8, 13, 18, 23, 25, 25, 25, 30, 31, 31, 33, 35, 38, 41, 43, 48, 48, 53, 57, 57, 59, 60, 61, 62, 64, 68, 72, 75, 80, 80, 80, 84, 84, 86, 86, 89, 91, 96, 99, 99, 104, 109, 112, 114, 117, 119, 123}

    {10, 11, 11, 20, 18, 12, 17, 16, 11, 15, 20, 15, 18, 18, 20, 15, 11, 10, 17, 16, 10, 11, 12, 16, 17, 12, 19, 17, 19, 20, 20, 20, 15, 18, 19, 12, 15, 12, 14, 20, 20, 16, 12, 14, 19, 16, 14, 13, 10, 10}

    11

    9

    116

    119

    Returns: "YES"

  36. {0, 0, 3, 4, 6, 7, 9, 9, 13, 15, 15, 18, 19, 21, 24, 27, 31, 36, 41, 42, 44, 47, 49, 49, 50, 53, 53, 54, 58, 60, 61, 64, 67, 70, 73, 77, 77, 78, 78, 81, 84, 84, 84, 86, 86, 91, 94, 94, 95, 95}

    {0, 5, 5, 5, 8, 11, 15, 15, 20, 23, 25, 30, 35, 35, 38, 38, 38, 39, 44, 46, 47, 50, 54, 57, 57, 57, 60, 60, 60, 63, 68, 72, 72, 76, 79, 82, 85, 88, 91, 94, 97, 101, 106, 106, 111, 115, 116, 116, 119, 124}

    {10, 11, 15, 12, 18, 17, 14, 15, 11, 17, 16, 14, 19, 15, 11, 15, 17, 13, 13, 19, 11, 16, 18, 19, 11, 10, 10, 18, 13, 16, 15, 10, 16, 17, 16, 17, 14, 19, 10, 13, 20, 12, 20, 13, 18, 15, 15, 16, 13, 11}

    7

    10

    89

    98

    Returns: "YES"

  37. {0, 3, 3, 3, 3, 7, 12, 12, 12, 16, 18, 23, 28, 30, 30, 33, 37, 40, 42, 45, 50, 55, 59, 62, 66, 67, 72, 76, 81, 86, 86, 89, 90, 94, 94, 98, 103, 106, 106, 106, 110, 112, 115, 115, 118, 119, 119, 124, 127, 128}

    {0, 2, 6, 8, 9, 14, 15, 17, 22, 23, 27, 27, 28, 30, 35, 36, 38, 39, 44, 48, 50, 51, 56, 59, 64, 67, 69, 73, 76, 80, 82, 87, 91, 91, 95, 95, 99, 99, 102, 104, 109, 114, 116, 116, 117, 119, 122, 126, 128, 133}

    {10, 13, 14, 20, 10, 10, 20, 15, 14, 16, 10, 16, 15, 17, 19, 17, 11, 12, 15, 17, 11, 19, 15, 12, 17, 20, 13, 13, 19, 10, 20, 20, 19, 17, 11, 18, 19, 18, 14, 12, 13, 18, 15, 18, 20, 15, 12, 15, 16, 11}

    11

    18

    116

    114

    Returns: "YES"

  38. {0, 4, 9, 10, 11, 15, 16, 19, 23, 27, 30, 32, 35, 36, 40, 40, 40, 44, 45, 46, 50, 52, 55, 59, 61, 66, 67, 67, 67, 68, 68, 70, 74, 77, 77, 82, 86, 88, 90, 91, 91, 94, 99, 104, 106, 108, 108, 111, 116, 117}

    {0, 3, 5, 5, 8, 9, 10, 11, 14, 15, 20, 20, 21, 21, 23, 26, 28, 33, 34, 39, 42, 44, 44, 49, 50, 51, 56, 57, 59, 63, 66, 71, 73, 76, 81, 81, 83, 88, 88, 91, 93, 97, 97, 100, 103, 103, 105, 109, 111, 113}

    {10, 11, 15, 19, 16, 15, 18, 15, 16, 17, 15, 17, 12, 13, 17, 16, 17, 11, 10, 11, 16, 16, 10, 12, 19, 12, 10, 16, 14, 14, 15, 18, 12, 12, 13, 16, 11, 18, 18, 11, 10, 19, 18, 20, 19, 19, 10, 17, 16, 20}

    5

    3

    110

    102

    Returns: "YES"

  39. {0, 4, 5, 6, 9, 10, 12, 17, 22, 26, 30, 34, 37, 39, 40, 43, 43, 43, 45, 50, 55, 60, 60, 60, 61, 61, 63, 68, 71, 73, 78, 79, 79, 83, 87, 90, 93, 98, 101, 102, 104, 108, 109, 112, 115, 116, 116, 118, 121, 125}

    {0, 2, 4, 8, 8, 12, 17, 19, 21, 22, 26, 28, 32, 35, 39, 39, 41, 45, 49, 49, 51, 52, 52, 55, 58, 62, 66, 70, 74, 79, 82, 82, 84, 86, 90, 91, 94, 95, 96, 101, 105, 105, 109, 109, 109, 109, 111, 115, 118, 118}

    {10, 19, 19, 18, 11, 18, 20, 18, 13, 12, 14, 13, 11, 15, 13, 20, 11, 15, 11, 17, 17, 13, 12, 17, 16, 13, 14, 14, 20, 13, 14, 17, 20, 17, 13, 11, 19, 11, 10, 20, 13, 16, 14, 20, 10, 14, 19, 20, 13, 11}

    -3

    1

    103

    102

    Returns: "YES"

  40. {0, 2, 6, 10, 12, 15, 15, 16, 17, 19, 21, 24, 28, 32, 37, 40, 40, 40, 43, 43, 46, 51, 54, 54, 54, 57, 58, 62, 67, 70, 74, 74, 76, 81, 83, 83, 84, 89, 91, 94, 97, 98, 102, 107, 112, 115, 119, 119, 124, 127}

    {0, 3, 8, 13, 17, 21, 23, 28, 31, 33, 35, 37, 38, 41, 42, 42, 47, 52, 52, 54, 55, 59, 61, 64, 66, 71, 75, 76, 78, 79, 81, 82, 83, 87, 88, 93, 95, 97, 100, 100, 102, 102, 103, 104, 104, 104, 106, 108, 110, 114}

    {10, 19, 15, 17, 16, 19, 18, 11, 16, 16, 19, 18, 12, 18, 20, 11, 13, 13, 19, 11, 12, 19, 12, 12, 20, 12, 12, 14, 17, 11, 14, 18, 16, 13, 15, 11, 16, 17, 18, 18, 15, 20, 14, 20, 19, 14, 15, 11, 15, 14}

    14

    11

    116

    104

    Returns: "YES"

  41. {0, 4, 7, 8, 9, 13, 13, 14, 17, 18, 22, 26, 28, 28, 33, 36, 39, 40, 42, 44, 49, 54, 59, 64, 64, 69, 69, 74, 78, 81, 83, 88, 91, 92, 97, 97, 100, 100, 104, 104, 108, 113, 116, 119, 120, 123, 124, 125, 125, 127}

    {0, 3, 6, 10, 11, 15, 16, 16, 18, 21, 23, 23, 26, 27, 30, 32, 32, 33, 35, 37, 42, 44, 45, 47, 48, 51, 51, 53, 53, 54, 59, 59, 62, 67, 69, 73, 77, 78, 82, 87, 90, 90, 90, 95, 98, 99, 100, 104, 104, 107}

    {10, 17, 19, 17, 19, 15, 18, 10, 10, 11, 13, 12, 16, 11, 16, 15, 19, 10, 11, 15, 19, 19, 13, 14, 17, 11, 13, 11, 19, 13, 12, 17, 12, 12, 14, 11, 15, 11, 12, 11, 18, 12, 14, 17, 20, 18, 19, 13, 14, 17}

    9

    14

    109

    91

    Returns: "YES"

  42. {0, 1, 1, 5, 9, 13, 15, 17, 20, 21, 26, 30, 33, 37, 37, 38, 39, 39, 40, 43, 44, 48, 48, 52, 57, 61, 65, 65, 70, 74, 74, 79, 81, 86, 88, 90, 90, 90, 93, 93, 98, 101, 105, 107, 110, 112, 113, 114, 117, 120}

    {0, 2, 5, 5, 9, 12, 16, 20, 20, 22, 25, 27, 31, 33, 37, 41, 45, 45, 46, 49, 53, 55, 55, 58, 63, 64, 68, 68, 71, 74, 76, 77, 78, 81, 83, 84, 87, 91, 93, 96, 97, 101, 104, 107, 110, 110, 110, 110, 113, 117}

    {10, 18, 10, 16, 17, 15, 12, 15, 10, 10, 18, 15, 12, 18, 15, 10, 14, 18, 18, 20, 14, 17, 18, 12, 20, 14, 17, 10, 13, 17, 19, 16, 13, 19, 10, 12, 15, 20, 14, 20, 18, 17, 13, 15, 16, 10, 10, 10, 18, 16}

    11

    13

    109

    114

    Returns: "YES"

  43. {0, 4, 5, 8, 13, 17, 22, 23, 23, 27, 30, 34, 37, 37, 37, 40, 41, 41, 41, 46, 48, 51, 55, 59, 61, 63, 64, 67, 72, 77, 77, 77, 82, 87, 92, 97, 102, 103, 104, 106, 110, 110, 110, 110, 114, 117, 118, 118, 118, 119}

    {0, 4, 7, 12, 13, 17, 19, 21, 26, 27, 30, 32, 32, 34, 34, 38, 38, 43, 46, 48, 49, 51, 53, 55, 58, 61, 61, 66, 68, 70, 75, 77, 80, 82, 82, 84, 87, 92, 96, 97, 98, 98, 100, 105, 108, 110, 111, 111, 116, 116}

    {10, 15, 17, 19, 14, 13, 10, 20, 14, 16, 20, 14, 15, 19, 10, 11, 16, 18, 20, 14, 10, 14, 17, 13, 12, 19, 13, 18, 12, 14, 11, 16, 15, 14, 13, 20, 16, 12, 15, 10, 19, 16, 12, 12, 11, 20, 12, 16, 15, 12}

    3

    -5

    115

    100

    Returns: "YES"

  44. {0, 0, 2, 6, 6, 11, 14, 15, 19, 19, 20, 22, 26, 28, 28, 33, 37, 39, 39, 39, 40, 44, 49, 54, 54, 54, 55, 56, 61, 62, 66, 68, 73, 77, 81, 86, 87, 87, 90, 91, 94, 97, 100, 101, 102, 102, 107, 112, 115, 119}

    {0, 1, 6, 6, 9, 9, 10, 10, 15, 20, 25, 30, 31, 32, 37, 38, 39, 40, 45, 48, 50, 52, 53, 55, 56, 58, 58, 58, 63, 66, 71, 73, 74, 78, 83, 88, 92, 97, 100, 100, 102, 105, 105, 107, 110, 111, 111, 116, 119, 119}

    {10, 10, 14, 12, 19, 16, 15, 19, 18, 18, 17, 13, 17, 13, 10, 11, 20, 18, 17, 19, 16, 18, 15, 18, 18, 11, 13, 15, 20, 20, 14, 17, 17, 13, 13, 13, 20, 19, 13, 19, 14, 14, 15, 19, 10, 16, 12, 16, 11, 20}

    20

    20

    116

    121

    Returns: "YES"

  45. {69, 70, 78, 79, 88, 89, 92, 98, 98, 107, 108, 113, 118, 120, 125, 125, 133, 139, 142, 147, 157, 160, 167, 177, 185, 192, 193, 195, 202, 205, 211, 220, 225, 230, 236, 243, 243, 252, 256, 266, 268, 276, 284, 285, 289, 294, 297, 299, 299, 307}

    {-76, -69, -60, -53, -47, -40, -30, -27, -21, -20, -19, -15, -11, -8, -1, 5, 12, 13, 14, 24, 28, 31, 34, 41, 46, 48, 56, 66, 76, 84, 89, 92, 98, 103, 103, 108, 110, 117, 117, 126, 129, 136, 146, 149, 159, 164, 164, 173, 174, 174}

    {10, 10, 14, 4, 17, 15, 3, 18, 2, 16, 18, 5, 8, 13, 20, 4, 20, 12, 15, 9, 7, 16, 5, 14, 9, 19, 6, 7, 14, 10, 14, 5, 16, 13, 6, 20, 4, 7, 7, 6, 11, 9, 18, 12, 12, 19, 15, 17, 4, 10}

    65

    -75

    286

    149

    Returns: "YES"

  46. {13, 23, 28, 35, 42, 49, 55, 56, 60, 63, 63, 69, 76, 79, 82, 88, 95, 105, 106, 107, 111, 118, 121, 124, 128, 138, 147, 150, 156, 162, 170, 174, 177, 177, 183, 188, 192, 201, 206, 215, 222, 225, 228, 229, 230, 232, 239, 246, 252, 256}

    {-35, -28, -27, -18, -10, -1, 5, 14, 21, 21, 26, 29, 34, 43, 45, 52, 62, 63, 65, 69, 76, 83, 87, 89, 89, 99, 99, 109, 118, 120, 122, 128, 130, 140, 140, 145, 147, 153, 153, 156, 160, 165, 175, 177, 178, 179, 180, 189, 194, 201}

    {8, 19, 3, 19, 20, 20, 18, 20, 17, 8, 12, 20, 17, 3, 4, 2, 15, 10, 17, 4, 7, 2, 2, 19, 3, 19, 6, 6, 16, 2, 3, 14, 15, 10, 15, 2, 13, 15, 8, 5, 4, 12, 6, 12, 8, 16, 15, 13, 18, 4}

    41

    -13

    253

    197

    Returns: "NO"

  47. {-25, -18, -8, -1, -1, 7, 14, 22, 28, 35, 43, 53, 57, 60, 65, 71, 79, 89, 90, 93, 103, 107, 117, 122, 127, 135, 141, 149, 158, 162, 166, 166, 176, 186, 187, 195, 205, 206, 215, 216, 226, 231, 231, 232, 236, 244, 245, 246, 248, 251}

    {93, 103, 106, 115, 120, 127, 134, 134, 134, 140, 148, 150, 159, 162, 170, 180, 185, 194, 200, 204, 206, 214, 221, 221, 228, 235, 238, 247, 251, 259, 263, 265, 275, 283, 290, 300, 301, 301, 311, 315, 321, 331, 339, 345, 351, 351, 356, 364, 369, 376}

    {6, 6, 4, 20, 6, 14, 6, 20, 9, 8, 18, 16, 2, 4, 14, 11, 11, 18, 12, 7, 10, 13, 20, 17, 12, 6, 3, 13, 12, 7, 16, 16, 12, 12, 3, 14, 19, 12, 2, 12, 14, 5, 17, 17, 6, 16, 17, 5, 12, 10}

    15

    137

    233

    347

    Returns: "YES"

  48. {-18, -13, -11, -8, -1, 7, 8, 16, 21, 30, 35, 40, 50, 60, 62, 68, 72, 78, 84, 90, 92, 101, 102, 112, 117, 118, 122, 127, 134, 142, 150, 155, 163, 172, 174, 183, 183, 190, 195, 196, 202, 206, 209, 212, 212, 220, 226, 235, 245, 255}

    {-27, -22, -22, -18, -15, -11, -1, 7, 13, 22, 28, 35, 37, 43, 51, 59, 68, 70, 78, 79, 89, 90, 92, 100, 108, 111, 115, 123, 126, 129, 138, 143, 147, 155, 161, 169, 175, 178, 185, 185, 185, 190, 196, 198, 201, 201, 201, 205, 206, 212}

    {6, 20, 14, 11, 11, 17, 2, 19, 18, 3, 8, 12, 10, 2, 5, 17, 7, 11, 4, 8, 11, 8, 10, 20, 17, 2, 15, 18, 20, 16, 14, 3, 17, 9, 5, 16, 14, 11, 2, 10, 4, 9, 3, 14, 7, 10, 4, 16, 13, 3}

    -3

    -19

    205

    198

    Returns: "YES"

  49. {-78, -77, -72, -67, -67, -66, -58, -51, -41, -33, -28, -28, -25, -18, -10, -9, -9, 0, 6, 10, 10, 17, 17, 23, 30, 40, 47, 47, 47, 54, 61, 65, 74, 80, 81, 91, 95, 100, 100, 108, 109, 115, 119, 121, 124, 124, 134, 139, 146, 146}

    {-33, -32, -28, -26, -18, -12, -2, 6, 16, 16, 18, 27, 32, 34, 39, 48, 48, 49, 49, 54, 58, 66, 73, 81, 83, 85, 85, 90, 96, 106, 110, 116, 116, 118, 123, 128, 129, 130, 136, 136, 137, 137, 140, 147, 149, 153, 160, 166, 171, 174}

    {8, 18, 11, 3, 17, 4, 5, 9, 15, 12, 11, 13, 2, 11, 17, 5, 5, 14, 16, 8, 8, 14, 15, 9, 17, 10, 10, 18, 9, 7, 13, 5, 6, 13, 3, 19, 7, 5, 9, 14, 3, 7, 17, 6, 20, 8, 15, 2, 9, 20}

    -28

    18

    129

    153

    Returns: "YES"

  50. {86, 87, 94, 94, 101, 109, 117, 123, 131, 136, 139, 139, 148, 149, 158, 168, 175, 181, 185, 188, 197, 205, 208, 210, 211, 215, 216, 225, 228, 231, 233, 233, 238, 243, 253, 257, 262, 272, 277, 284, 288, 288, 290, 299, 307, 313, 316, 326, 329, 333}

    {85, 92, 101, 106, 107, 108, 117, 118, 121, 123, 129, 138, 146, 147, 150, 160, 165, 166, 174, 177, 179, 186, 194, 199, 208, 213, 214, 223, 227, 231, 240, 246, 253, 257, 263, 271, 273, 283, 284, 287, 290, 290, 296, 302, 306, 313, 321, 330, 338, 348}

    {5, 12, 4, 6, 17, 11, 8, 17, 15, 9, 14, 16, 11, 5, 5, 18, 18, 5, 11, 11, 18, 5, 14, 15, 14, 2, 17, 14, 6, 5, 2, 10, 16, 20, 8, 4, 8, 10, 8, 6, 12, 14, 16, 4, 8, 16, 9, 2, 16, 14}

    118

    121

    304

    309

    Returns: "NO"

  51. {24, 33, 43, 46, 48, 50, 50, 59, 65, 69, 79, 82, 92, 95, 105, 111, 117, 123, 130, 137, 137, 142, 143, 144, 153, 159, 166, 170, 170, 171, 177, 181, 185, 192, 201, 203, 208, 217, 220, 220, 220, 221, 223, 232, 236, 241, 244, 251, 251, 260}

    {9, 18, 18, 25, 25, 28, 31, 41, 46, 50, 60, 65, 65, 71, 75, 83, 89, 95, 96, 106, 107, 109, 112, 114, 123, 132, 139, 145, 152, 161, 169, 172, 182, 184, 188, 189, 192, 201, 202, 212, 216, 222, 231, 231, 235, 239, 239, 244, 252, 255}

    {7, 16, 7, 15, 8, 6, 18, 12, 14, 15, 19, 2, 20, 14, 7, 17, 20, 12, 10, 18, 13, 14, 6, 11, 9, 7, 20, 13, 18, 13, 16, 11, 14, 14, 19, 15, 9, 7, 15, 17, 16, 14, 16, 15, 17, 7, 4, 2, 18, 17}

    50

    36

    256

    254

    Returns: "YES"

  52. {78, 81, 81, 83, 89, 98, 107, 107, 116, 116, 125, 132, 140, 147, 153, 160, 165, 170, 171, 174, 177, 180, 182, 190, 194, 196, 201, 210, 210, 212, 218, 218, 228, 228, 234, 244, 248, 257, 262, 269, 272, 276, 285, 295, 295, 297, 307, 316, 318, 327}

    {-66, -65, -56, -56, -50, -43, -43, -35, -26, -18, -9, -5, 3, 4, 13, 16, 16, 17, 17, 24, 28, 38, 38, 48, 57, 64, 71, 80, 90, 94, 96, 105, 106, 107, 115, 120, 122, 131, 133, 133, 133, 143, 153, 160, 166, 167, 170, 179, 180, 186}

    {1, 2, 20, 19, 18, 9, 12, 15, 6, 8, 4, 4, 11, 8, 18, 13, 16, 10, 17, 5, 3, 20, 19, 7, 11, 12, 18, 16, 4, 8, 4, 3, 4, 7, 10, 12, 11, 5, 10, 4, 18, 16, 7, 13, 6, 13, 16, 5, 15, 15}

    126

    -9

    315

    177

    Returns: "NO"

  53. {-72, -72, -63, -59, -58, -53, -43, -38, -36, -34, -29, -27, -25, -17, -13, -6, -3, -3, 7, 17, 27, 37, 43, 49, 52, 53, 58, 65, 73, 82, 86, 91, 92, 95, 97, 101, 104, 105, 105, 114, 116, 116, 120, 127, 133, 135, 135, 143, 151, 152}

    {91, 101, 103, 103, 108, 113, 118, 126, 126, 134, 136, 144, 154, 155, 159, 161, 161, 162, 163, 163, 173, 173, 181, 191, 192, 194, 200, 201, 209, 211, 218, 220, 221, 225, 235, 240, 246, 253, 261, 261, 263, 263, 270, 271, 278, 281, 284, 291, 294, 294}

    {7, 12, 16, 7, 18, 10, 14, 16, 9, 12, 11, 5, 9, 17, 8, 5, 20, 5, 7, 8, 20, 5, 12, 19, 11, 8, 19, 17, 19, 13, 3, 18, 15, 6, 15, 12, 11, 16, 10, 4, 7, 16, 3, 18, 20, 11, 6, 17, 19, 19}

    -58

    116

    131

    279

    Returns: "YES"

  54. {-72, -71, -70, -68, -64, -59, -55, -50, -45, -40, -33, -25, -18, -15, -9, -4, 3, 6, 14, 15, 22, 27, 31, 35, 42, 46, 56, 66, 71, 76, 85, 91, 92, 94, 99, 107, 117, 123, 127, 132, 132, 142, 150, 155, 156, 158, 158, 161, 166, 174}

    {-45, -44, -36, -28, -18, -16, -9, -4, 6, 15, 22, 29, 36, 42, 46, 52, 54, 60, 61, 70, 74, 76, 77, 77, 85, 95, 97, 102, 106, 111, 121, 128, 136, 141, 143, 143, 143, 147, 147, 153, 162, 164, 165, 167, 171, 175, 184, 190, 200, 210}

    {1, 15, 14, 3, 13, 16, 14, 15, 7, 18, 2, 15, 3, 7, 7, 4, 4, 14, 20, 7, 17, 18, 12, 7, 16, 11, 14, 12, 16, 3, 5, 14, 15, 11, 2, 13, 10, 18, 12, 4, 14, 7, 10, 12, 9, 12, 9, 7, 11, 18}

    -67

    -24

    133

    157

    Returns: "YES"

  55. {70, 72, 75, 84, 91, 99, 101, 103, 105, 111, 121, 131, 133, 143, 153, 155, 165, 166, 174, 178, 181, 186, 191, 200, 201, 204, 210, 213, 222, 227, 234, 238, 240, 246, 252, 253, 262, 269, 275, 277, 283, 293, 302, 305, 307, 310, 312, 320, 321, 321}

    {-39, -38, -33, -23, -18, -9, -7, -1, -1, 3, 10, 16, 21, 22, 25, 29, 31, 39, 45, 49, 50, 58, 68, 68, 71, 81, 89, 98, 101, 101, 108, 113, 119, 124, 133, 135, 145, 154, 161, 171, 172, 174, 175, 176, 179, 184, 184, 186, 189, 192}

    {5, 18, 11, 8, 6, 11, 10, 4, 18, 17, 6, 5, 17, 20, 6, 8, 10, 5, 17, 14, 17, 2, 20, 10, 20, 17, 20, 13, 16, 17, 15, 5, 12, 12, 12, 20, 17, 10, 13, 20, 7, 4, 3, 14, 2, 9, 14, 5, 16, 18}

    112

    2

    278

    169

    Returns: "YES"

  56. {53, 63, 73, 78, 83, 85, 93, 103, 103, 110, 114, 122, 127, 134, 139, 140, 146, 148, 156, 165, 170, 180, 183, 189, 194, 203, 212, 220, 225, 230, 231, 234, 241, 251, 255, 259, 268, 276, 282, 282, 287, 293, 300, 303, 305, 308, 314, 315, 317, 324}

    {45, 50, 55, 60, 65, 68, 68, 76, 80, 83, 85, 93, 99, 108, 108, 113, 114, 123, 128, 137, 144, 153, 159, 163, 170, 180, 189, 194, 198, 207, 215, 222, 226, 231, 241, 241, 246, 250, 253, 263, 271, 276, 281, 281, 282, 283, 291, 293, 300, 304}

    {2, 12, 10, 9, 18, 20, 15, 2, 2, 15, 18, 20, 12, 19, 16, 5, 18, 11, 17, 8, 15, 20, 12, 2, 9, 13, 14, 6, 8, 20, 7, 19, 16, 3, 14, 16, 12, 7, 6, 14, 5, 11, 8, 8, 6, 11, 5, 2, 8, 5}

    88

    68

    301

    283

    Returns: "YES"

  57. {-96, -90, -80, -80, -79, -78, -72, -64, -62, -58, -56, -54, -48, -42, -34, -24, -16, -9, -7, -4, -3, 4, 6, 16, 23, 26, 30, 38, 45, 54, 56, 61, 66, 71, 71, 77, 78, 82, 85, 87, 89, 97, 107, 113, 115, 121, 131, 140, 145, 145}

    {-52, -52, -42, -37, -27, -18, -17, -16, -11, -5, 4, 4, 12, 15, 15, 19, 20, 25, 25, 28, 30, 39, 39, 46, 46, 48, 56, 61, 70, 80, 81, 89, 99, 104, 104, 105, 105, 108, 109, 114, 122, 130, 138, 142, 147, 149, 154, 156, 160, 166}

    {4, 15, 3, 11, 4, 8, 10, 13, 2, 5, 14, 15, 15, 2, 18, 14, 19, 14, 8, 7, 4, 8, 9, 4, 13, 18, 7, 14, 3, 14, 19, 3, 10, 2, 3, 5, 3, 20, 5, 7, 15, 14, 18, 4, 10, 15, 10, 5, 11, 20}

    -54

    6

    119

    146

    Returns: "YES"

  58. {26, 28, 35, 37, 41, 51, 56, 66, 69, 74, 81, 91, 91, 98, 101, 110, 117, 121, 127, 127, 134, 139, 146, 148, 155, 163, 170, 172, 180, 190, 200, 201, 205, 209, 212, 220, 223, 233, 235, 236, 239, 240, 247, 249, 258, 267, 267, 271, 280, 280}

    {-79, -75, -73, -72, -65, -59, -54, -45, -44, -39, -33, -31, -24, -14, -6, 0, 1, 10, 15, 20, 20, 29, 38, 42, 48, 55, 64, 72, 74, 82, 89, 91, 94, 98, 107, 112, 115, 122, 126, 136, 146, 150, 150, 153, 163, 167, 174, 178, 185, 193}

    {10, 3, 13, 14, 13, 9, 7, 9, 15, 13, 20, 20, 13, 13, 5, 13, 12, 9, 14, 2, 8, 12, 2, 8, 2, 19, 13, 13, 5, 8, 7, 10, 7, 16, 9, 19, 9, 20, 4, 18, 15, 20, 5, 7, 12, 2, 2, 14, 9, 18}

    31

    -78

    238

    148

    Returns: "YES"

  59. {24, 32, 38, 38, 47, 54, 61, 70, 76, 82, 90, 99, 106, 110, 118, 118, 122, 123, 125, 134, 138, 147, 156, 166, 168, 172, 172, 174, 182, 188, 191, 199, 203, 212, 216, 218, 220, 227, 228, 228, 236, 240, 246, 250, 251, 260, 266, 273, 276, 276}

    {-60, -58, -50, -49, -41, -41, -38, -31, -27, -25, -20, -16, -7, -2, 8, 12, 18, 22, 22, 24, 25, 28, 34, 44, 48, 58, 67, 68, 70, 78, 82, 90, 91, 101, 104, 113, 122, 127, 136, 137, 145, 153, 157, 158, 164, 165, 165, 174, 180, 187}

    {5, 20, 7, 19, 7, 18, 14, 12, 15, 19, 8, 10, 8, 5, 3, 10, 14, 18, 18, 15, 17, 11, 6, 19, 7, 4, 20, 4, 19, 9, 11, 10, 2, 12, 19, 7, 9, 15, 12, 17, 9, 18, 11, 9, 5, 14, 10, 3, 16, 4}

    34

    -48

    276

    184

    Returns: "NO"

  60. {92, 102, 102, 112, 120, 121, 124, 134, 140, 144, 144, 148, 155, 160, 168, 178, 181, 189, 196, 202, 203, 208, 208, 213, 215, 221, 231, 237, 240, 249, 254, 255, 256, 266, 272, 272, 278, 279, 283, 288, 289, 299, 301, 301, 301, 306, 311, 316, 318, 328}

    {5, 6, 6, 7, 7, 14, 18, 21, 29, 35, 37, 40, 46, 52, 55, 65, 68, 74, 79, 85, 88, 93, 103, 106, 115, 122, 122, 126, 133, 136, 145, 145, 153, 153, 159, 164, 174, 183, 190, 199, 209, 212, 213, 223, 229, 229, 229, 230, 235, 239}

    {10, 6, 2, 3, 2, 16, 16, 7, 8, 17, 10, 11, 16, 16, 18, 20, 9, 5, 5, 7, 13, 20, 11, 8, 10, 13, 10, 6, 2, 16, 18, 7, 14, 15, 11, 15, 17, 20, 9, 10, 2, 5, 10, 18, 19, 9, 8, 16, 2, 5}

    88

    0

    310

    229

    Returns: "YES"

  61. {-42, -42, -35, -25, -20, -17, -10, -1, 1, 5, 12, 13, 21, 31, 39, 48, 56, 60, 62, 71, 80, 87, 96, 96, 97, 97, 99, 109, 115, 115, 124, 126, 132, 138, 145, 153, 161, 168, 169, 172, 177, 187, 188, 189, 194, 195, 198, 203, 213, 220}

    {-70, -70, -60, -50, -50, -50, -45, -44, -42, -35, -27, -19, -16, -12, -4, -3, 0, 5, 15, 16, 24, 28, 37, 37, 39, 49, 58, 63, 63, 67, 75, 81, 88, 96, 105, 109, 118, 119, 126, 128, 133, 135, 139, 146, 153, 159, 159, 164, 165, 167}

    {5, 18, 15, 10, 4, 12, 15, 13, 17, 19, 6, 9, 9, 12, 9, 6, 8, 13, 15, 20, 17, 15, 3, 16, 5, 2, 17, 19, 19, 5, 5, 17, 16, 7, 12, 18, 19, 11, 14, 6, 20, 15, 20, 13, 2, 12, 9, 19, 20, 3}

    8

    -27

    192

    150

    Returns: "YES"

  62. {-15, -7, -2, 3, 12, 14, 21, 29, 37, 47, 47, 55, 57, 63, 67, 71, 76, 82, 82, 83, 83, 90, 97, 100, 106, 110, 112, 113, 122, 129, 131, 139, 142, 146, 152, 160, 170, 174, 178, 181, 186, 190, 195, 196, 202, 211, 216, 221, 226, 226}

    {-16, -12, -6, 2, 9, 18, 22, 26, 35, 35, 43, 51, 60, 66, 72, 75, 78, 86, 87, 89, 89, 94, 101, 103, 109, 115, 121, 121, 122, 124, 131, 137, 145, 145, 150, 152, 160, 169, 175, 179, 179, 187, 191, 199, 200, 203, 205, 214, 219, 227}

    {8, 11, 5, 6, 11, 5, 17, 13, 19, 16, 17, 7, 11, 13, 11, 13, 18, 19, 12, 17, 9, 9, 14, 18, 15, 4, 20, 15, 8, 4, 20, 9, 13, 2, 14, 4, 16, 6, 19, 9, 20, 11, 7, 5, 6, 13, 6, 13, 15, 2}

    32

    34

    194

    192

    Returns: "YES"

  63. {-29, -27, -19, -14, -8, -8, -3, -3, 7, 9, 13, 18, 28, 37, 39, 46, 51, 53, 61, 64, 70, 76, 79, 86, 96, 104, 106, 110, 114, 119, 126, 136, 141, 146, 151, 156, 166, 168, 170, 171, 177, 187, 196, 201, 203, 204, 209, 219, 220, 227}

    {71, 75, 81, 81, 88, 93, 97, 99, 103, 108, 109, 117, 117, 126, 130, 132, 141, 149, 153, 155, 164, 174, 181, 183, 192, 202, 205, 210, 212, 220, 224, 231, 233, 242, 252, 261, 265, 267, 270, 276, 280, 289, 290, 300, 303, 306, 315, 318, 323, 326}

    {5, 8, 9, 17, 9, 18, 6, 3, 4, 5, 6, 12, 13, 15, 2, 7, 11, 13, 8, 3, 11, 5, 15, 19, 18, 10, 8, 13, 13, 19, 4, 11, 5, 12, 7, 9, 12, 2, 12, 4, 10, 6, 12, 3, 3, 7, 9, 12, 17, 7}

    4

    102

    208

    298

    Returns: "NO"

  64. {43, 48, 58, 58, 65, 74, 77, 79, 82, 90, 99, 106, 111, 111, 113, 116, 121, 127, 130, 130, 132, 138, 147, 154, 157, 162, 172, 177, 178, 182, 189, 194, 197, 199, 208, 208, 215, 222, 230, 233, 235, 236, 239, 241, 244, 254, 263, 263, 267, 270}

    {23, 28, 37, 46, 47, 57, 60, 68, 76, 80, 85, 92, 96, 106, 116, 116, 118, 127, 135, 135, 141, 144, 150, 155, 165, 175, 184, 187, 187, 189, 194, 200, 205, 205, 210, 214, 220, 225, 225, 227, 231, 239, 246, 256, 264, 264, 265, 271, 276, 279}

    {2, 11, 6, 16, 6, 9, 2, 2, 7, 17, 3, 2, 17, 11, 5, 18, 4, 13, 12, 12, 5, 16, 15, 12, 9, 19, 6, 20, 17, 13, 2, 20, 16, 4, 18, 5, 12, 18, 19, 5, 20, 12, 11, 8, 9, 7, 11, 4, 2, 16}

    91

    82

    240

    258

    Returns: "YES"

  65. {3, 4, 5, 5, 14, 21, 30, 30, 36, 43, 43, 49, 52, 55, 56, 63, 68, 71, 78, 80, 90, 99, 104, 108, 110, 115, 123, 129, 129, 137, 140, 145, 151, 154, 157, 166, 169, 171, 175, 178, 178, 180, 186, 196, 204, 206, 216, 218, 219, 229}

    {99, 106, 110, 114, 121, 123, 130, 138, 143, 146, 151, 161, 170, 177, 187, 193, 203, 205, 210, 219, 226, 228, 235, 239, 249, 253, 256, 265, 269, 277, 282, 282, 282, 284, 285, 290, 295, 295, 303, 304, 309, 317, 327, 330, 331, 341, 343, 346, 346, 351}

    {8, 18, 11, 13, 8, 12, 7, 10, 3, 5, 5, 11, 3, 2, 9, 15, 3, 9, 20, 2, 6, 17, 7, 10, 15, 15, 7, 15, 18, 10, 9, 6, 11, 19, 11, 4, 15, 3, 18, 2, 2, 9, 19, 17, 15, 19, 14, 16, 20, 15}

    3

    102

    201

    332

    Returns: "NO"

  66. {-41, -41, -38, -35, -27, -26, -21, -15, -11, -6, 2, 3, 11, 19, 28, 31, 39, 43, 51, 59, 60, 66, 75, 76, 85, 88, 92, 95, 97, 99, 109, 112, 112, 121, 123, 128, 134, 143, 143, 145, 145, 148, 152, 158, 161, 162, 164, 164, 174, 183}

    {60, 62, 64, 68, 73, 80, 80, 80, 89, 95, 103, 111, 121, 126, 128, 128, 128, 134, 139, 143, 150, 154, 156, 160, 165, 165, 169, 179, 181, 186, 187, 193, 194, 194, 199, 207, 216, 221, 226, 236, 241, 250, 252, 257, 258, 261, 269, 276, 284, 284}

    {6, 15, 17, 17, 17, 2, 11, 11, 8, 20, 18, 7, 18, 5, 4, 8, 14, 13, 13, 19, 2, 12, 2, 2, 17, 3, 15, 7, 7, 20, 10, 10, 8, 4, 15, 19, 18, 4, 18, 4, 14, 15, 2, 17, 20, 4, 2, 7, 11, 17}

    -30

    63

    159

    261

    Returns: "YES"

  67. {-59, -59, -58, -52, -50, -45, -39, -30, -22, -15, -15, -8, -2, 2, 6, 14, 21, 31, 35, 43, 51, 59, 66, 73, 75, 83, 91, 97, 105, 115, 119, 129, 139, 140, 143, 151, 158, 168, 172, 178, 187, 196, 203, 209, 212, 214, 215, 218, 228, 228}

    {61, 67, 76, 79, 89, 98, 99, 105, 107, 117, 118, 120, 128, 137, 146, 150, 155, 158, 166, 175, 182, 188, 196, 199, 203, 210, 214, 219, 227, 232, 234, 238, 238, 241, 250, 250, 255, 263, 263, 263, 272, 281, 286, 286, 296, 302, 310, 313, 315, 324}

    {4, 14, 9, 6, 12, 6, 14, 14, 5, 4, 5, 12, 7, 7, 15, 7, 5, 10, 16, 14, 15, 11, 14, 14, 4, 4, 2, 12, 3, 17, 6, 12, 13, 4, 6, 3, 2, 7, 3, 16, 9, 6, 6, 18, 8, 6, 10, 6, 17, 6}

    -62

    61

    198

    283

    Returns: "NO"

  68. {40, 49, 51, 58, 67, 71, 73, 82, 88, 93, 101, 105, 107, 107, 117, 120, 130, 137, 142, 143, 147, 152, 153, 155, 158, 159, 167, 173, 173, 176, 186, 195, 200, 207, 209, 214, 217, 227, 234, 240, 243, 245, 246, 250, 255, 261, 265, 272, 278, 278}

    {23, 27, 34, 37, 37, 42, 50, 59, 66, 73, 77, 87, 89, 99, 109, 110, 116, 126, 127, 129, 132, 138, 139, 149, 159, 169, 170, 176, 180, 184, 189, 198, 200, 206, 211, 221, 231, 237, 246, 253, 254, 261, 262, 265, 268, 268, 276, 276, 286, 287}

    {4, 5, 19, 3, 14, 8, 10, 19, 6, 4, 19, 16, 15, 10, 20, 16, 12, 18, 16, 11, 12, 14, 17, 6, 18, 14, 5, 18, 3, 12, 10, 17, 2, 8, 12, 15, 6, 6, 3, 19, 20, 4, 14, 14, 3, 4, 14, 13, 19, 16}

    64

    37

    252

    267

    Returns: "YES"

  69. {-50, -48, -47, -42, -38, -33, -32, -31, -28, -21, -14, -11, -3, 3, 8, 15, 19, 22, 23, 30, 40, 46, 49, 59, 66, 74, 76, 85, 93, 103, 104, 110, 114, 123, 131, 140, 141, 146, 154, 164, 174, 176, 183, 183, 192, 198, 203, 206, 216, 225}

    {-19, -16, -10, -3, -2, 4, 7, 13, 17, 24, 32, 42, 45, 49, 49, 57, 59, 59, 67, 69, 77, 80, 82, 82, 91, 91, 92, 100, 108, 111, 111, 112, 113, 119, 124, 133, 143, 152, 152, 162, 171, 172, 178, 178, 182, 189, 198, 206, 212, 217}

    {5, 6, 11, 16, 16, 20, 11, 6, 5, 5, 2, 15, 20, 7, 11, 6, 11, 11, 10, 2, 16, 17, 15, 15, 9, 19, 16, 15, 20, 20, 5, 4, 14, 6, 4, 10, 16, 9, 5, 3, 20, 20, 15, 11, 8, 13, 4, 3, 17, 17}

    -23

    22

    193

    177

    Returns: "NO"

  70. {-86, -79, -71, -63, -56, -46, -46, -45, -36, -28, -25, -21, -20, -14, -12, -3, 3, 11, 20, 23, 23, 27, 30, 38, 40, 46, 56, 56, 66, 73, 74, 79, 86, 90, 100, 109, 117, 126, 134, 138, 143, 152, 162, 168, 172, 173, 177, 186, 192, 194}

    {-15, -14, -8, -1, 9, 13, 13, 13, 15, 22, 32, 35, 43, 46, 55, 61, 65, 70, 78, 86, 92, 96, 99, 109, 115, 119, 129, 131, 140, 147, 156, 160, 168, 178, 188, 192, 201, 210, 219, 226, 231, 239, 241, 241, 250, 254, 260, 265, 267, 277}

    {8, 14, 13, 5, 3, 10, 9, 14, 4, 8, 4, 14, 5, 16, 20, 19, 13, 14, 16, 4, 8, 9, 9, 7, 12, 6, 15, 7, 15, 4, 6, 16, 20, 3, 8, 20, 13, 2, 19, 5, 8, 5, 18, 8, 4, 8, 19, 7, 8, 20}

    -80

    -18

    181

    264

    Returns: "NO"

  71. {68, 78, 82, 87, 96, 101, 110, 114, 119, 129, 131, 136, 146, 153, 155, 156, 162, 162, 164, 164, 165, 172, 175, 182, 183, 192, 200, 203, 208, 208, 212, 222, 230, 232, 242, 248, 258, 268, 275, 285, 286, 295, 297, 298, 307, 313, 316, 320, 329, 338}

    {75, 84, 86, 96, 97, 99, 107, 110, 115, 119, 124, 130, 138, 143, 151, 154, 161, 163, 169, 169, 173, 181, 186, 196, 203, 213, 219, 224, 232, 236, 244, 251, 251, 255, 264, 267, 275, 278, 288, 291, 300, 303, 305, 310, 317, 319, 323, 329, 333, 338}

    {7, 20, 10, 12, 6, 4, 20, 11, 17, 10, 9, 11, 8, 18, 8, 10, 20, 15, 16, 12, 5, 10, 15, 5, 16, 10, 9, 8, 15, 14, 9, 20, 16, 5, 6, 15, 8, 13, 18, 12, 16, 17, 10, 18, 14, 18, 20, 9, 7, 18}

    86

    83

    326

    332

    Returns: "YES"

  72. {-45, -40, -31, -23, -22, -14, -10, -10, -5, -4, -3, -1, 1, 5, 14, 14, 14, 21, 29, 29, 30, 32, 39, 41, 48, 49, 58, 59, 68, 71, 81, 87, 91, 96, 104, 105, 114, 114, 115, 122, 122, 129, 137, 144, 144, 148, 152, 154, 157, 158}

    {31, 41, 44, 52, 52, 53, 62, 63, 71, 76, 79, 89, 96, 105, 105, 115, 124, 125, 133, 142, 146, 147, 153, 155, 165, 169, 170, 177, 187, 192, 199, 202, 204, 208, 212, 215, 225, 230, 234, 234, 235, 235, 235, 243, 252, 255, 260, 266, 266, 276}

    {5, 9, 2, 11, 20, 15, 13, 19, 18, 14, 2, 4, 19, 19, 13, 14, 16, 6, 7, 8, 5, 12, 15, 5, 7, 11, 16, 7, 18, 11, 15, 10, 11, 18, 11, 8, 13, 14, 15, 20, 7, 8, 14, 19, 19, 18, 12, 10, 16, 18}

    -31

    48

    153

    262

    Returns: "YES"

  73. {-37, -29, -25, -20, -17, -9, -3, 2, 8, 15, 18, 20, 24, 31, 37, 43, 53, 59, 68, 78, 78, 84, 90, 91, 93, 98, 101, 110, 111, 112, 121, 130, 137, 145, 149, 155, 163, 168, 171, 179, 181, 183, 187, 189, 190, 195, 200, 204, 204, 212}

    {74, 84, 90, 97, 106, 107, 117, 118, 124, 127, 137, 146, 155, 165, 174, 176, 176, 179, 180, 188, 191, 196, 204, 212, 220, 230, 231, 235, 237, 244, 252, 256, 262, 267, 277, 284, 293, 303, 303, 305, 314, 324, 333, 340, 342, 352, 356, 359, 367, 368}

    {10, 20, 19, 9, 2, 2, 16, 9, 10, 14, 16, 4, 17, 20, 14, 19, 3, 14, 18, 4, 16, 13, 9, 15, 19, 16, 3, 17, 3, 5, 6, 8, 15, 10, 13, 6, 12, 20, 15, 16, 15, 18, 7, 8, 5, 6, 2, 9, 18, 12}

    -19

    98

    214

    368

    Returns: "YES"

  74. {-4, 0, 7, 12, 13, 14, 23, 24, 33, 34, 36, 46, 52, 57, 59, 59, 64, 64, 68, 71, 73, 77, 84, 90, 96, 98, 107, 117, 118, 127, 131, 138, 146, 155, 158, 164, 171, 181, 182, 189, 190, 195, 201, 206, 207, 213, 215, 222, 222, 226}

    {-27, -23, -13, -8, 0, 7, 10, 17, 21, 21, 23, 26, 36, 44, 44, 48, 51, 55, 60, 65, 72, 80, 80, 80, 80, 82, 88, 94, 96, 102, 108, 112, 115, 125, 128, 132, 132, 132, 137, 138, 138, 140, 146, 146, 152, 153, 161, 170, 172, 179}

    {4, 5, 12, 3, 14, 6, 16, 13, 14, 7, 5, 11, 13, 8, 7, 6, 9, 15, 17, 20, 18, 17, 10, 16, 8, 7, 10, 13, 7, 14, 4, 2, 19, 4, 8, 12, 8, 14, 5, 5, 8, 12, 10, 17, 10, 19, 6, 11, 16, 18}

    15

    -5

    218

    168

    Returns: "YES"

  75. {0, 1}

    {0, 0}

    {1000, 1000}

    0

    0

    1000

    0

    Returns: "YES"

  76. {0, 1}

    {0, 0}

    {1000000000, 1000000000}

    0

    0

    1000000000

    0

    Returns: "YES"

  77. {-49765478,-45928771}

    {78437325,76904605}

    {375481957,460658039}

    -19047899

    90148767

    -88719701

    -40816573

    Returns: "YES"

  78. {650014103,317514646,212055469,-457033683,-724176359,-559478403,-425701700,-831955992,-418975557}

    {-921306348,305013912,343654161,-580438247,-467704141,-78364281,-711931886,934692751,-377805592}

    {199963696,919691513,914221542,85594116,302884656,34441412,730504973,703272827,34206401}

    -760938265

    605679138

    280606617

    794499063

    Returns: "YES"

  79. {383584688,-482727925,529823328,-425000119,550090059,526161948}

    {461787537,-430753572,547421532,-141815754,-263270297,-416666417}

    {324345762,417526181,493754519,277474034,718003441,289206350}

    403613235

    -73759457

    -135300458

    -510146706

    Returns: "YES"

  80. {1485739,1526489,-391804,-1281130,664857,-787921,-910527,672759,-1387517,1429267,-1523439,1498160,-925327,1011573,-2145156,-1363922,700844}

    {-2178291,1431418,1607653,-1444861,1576220,-350729,1898754,1643996,-1090326,2038503,-721914,1886712,1971798,72728,462815,1408253,-1831621}

    {439974,177995,475052,886642,442807,380117,181927,1195339,1178090,200091,1233891,559246,728536,103621,1071030,274939,1187299}

    368496

    1016947

    184180

    -2176490

    Returns: "YES"

  81. {-13561237,-422928378,-227710886,-306426169,-489554028,-159288004,269657646,281826209,180198515}

    {463670256,502825906,20920925,151493360,67059157,-436923061,-376723928,-376644540,323317558}

    {429358435,367919858,218395629,458997399,61389390,28800401,491747469,363461915,416019684}

    155222349

    -223628790

    -333603716

    434279987

    Returns: "YES"

  82. {-6,-9}

    {-42,-40}

    {598846875,787678181}

    -21

    -30

    -3

    30

    Returns: "YES"

  83. {-889736087,625014058,-69918355,-6857123,-854429315,174979020,-558403331,392259411}

    {643055255,-497696202,-449374481,943538539,147412357,-790462577,569600824,386748009}

    {469854604,460761462,651721935,766726290,444439073,932742893,465982321,263156249}

    499405313

    194119938

    174169797

    135921093

    Returns: "YES"

  84. {932952185,174504787,-361333518,995727059,57677107,-112459541,-160679917,704927292,821129465,-225633385,158671998,-36789031,-25544035}

    {-825261287,-864747765,50852724,-496203697,566296585,694383307,452253165,-802724379,613172374,-110852028,144315179,-136365824,654808294}

    {497163932,63030339,337048489,57816284,143406839,106545008,112018265,484316247,206783453,19817483,183297588,258923057,402462399}

    226958874

    788513446

    -502504229

    116530495

    Returns: "YES"

  85. {5105204,-4768305,-2411735,4822202,-526666,-6677026,-4347573,-5721308,5360553,-9219193,-7762334,-585505,8552177,1548371,1531108,7165537,16777,-7278928,7897616,-7857559,3541133,2265503,-456205,8797153,-3035252,-8200923,414524,-3239549,2213018,2597345,-3980881,3253354,2078701,-2157310,-5004816,1226461,9537184,-6155304,-8503523}

    {-7232460,-65103,7517591,-1919770,-550355,-6704173,4896917,-1642099,8411017,-3104290,2468478,8619149,9014634,9178545,8474162,-1207168,-8214023,3703334,-5822788,377579,8548637,5941530,8178244,-2486104,1704186,-8264772,-4534212,8007948,-3733193,7563228,-3078223,-6582314,3184408,-2929478,8204101,-7025054,-2743893,-9593623,-794463}

    {1409562,108279,3672613,1403057,3476989,1721627,2592423,1770526,3533036,1960788,728389,3541121,2643880,3274162,1096664,2907275,96584,1274186,55533,2212463,1295774,3873896,3887605,2935661,1644967,1708702,1459123,805698,93164,493781,2018850,3521292,3647016,883713,2941012,3169095,908045,3061833,1635419}

    -7712875

    7441585

    3899779

    -2895315

    Returns: "YES"

  86. {-362402004,110594039,-273267877,906341883,-493124029,-754151662,-751386416,-603122406,-15974107,-405203292,-636356635,-147143061,603774425,-216903996,-639236210,263462792,227653041,-795463542,361062363,196492232,-403284417,501838651,964225259,364590073,286404452,-752567409,-297286660,533327258,-86344603,942350827,-324093761,-650474460,-453658910,-434745398,855196538,628174245,243997957,272196782,566151415,-866068939,244403203,-299806503,-218343486,-663923784,833470404,-483759619,-948792747,70293066,-457122698}

    {27265130,598483833,770710894,-632942475,-794587590,-709810842,853285289,202448502,-992375142,-148310639,-29574329,431630528,-595903889,416592305,-773949987,574348348,630502918,-441243562,194507876,43785153,656824602,-150956538,692206964,97480140,-568314391,-59865966,29021042,-107139894,-369589299,426428948,286413436,988228081,-978051823,-180488979,-42269163,392285786,528583626,-731360223,759533831,-21672657,859081410,-881607410,-660871545,17452759,992146374,348279861,726085585,-795248225,-772394200}

    {239007017,117412538,276927433,271353127,28349265,161932546,54343416,8259781,97249921,147506447,196325210,131268728,295581022,156361837,253076846,116043596,315354056,331579706,231652488,113379532,142459081,79640418,63838641,280372393,123190079,226287473,14465780,290100696,149817590,118190756,24173865,136563980,142821879,273815657,287155539,149277647,64033541,105463364,41639475,216174509,31392080,68716579,295395839,234041009,254569340,205545981,2991830,37916707,27339919}

    865507292

    -894751625

    -540462942

    -983611895

    Returns: "YES"

  87. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20 }

    {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20 }

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

    2

    2

    19

    19

    Returns: "NO"

  88. {0, 0 }

    {0, 0 }

    {1, 2 }

    0

    -1

    0

    -2

    Returns: "NO"

  89. {10 }

    {10 }

    {1 }

    0

    1

    0

    0

    Returns: "NO"

  90. {0, 0 }

    {0, 1 }

    {1000000000, 1000000000 }

    700000000

    700000000

    1

    2

    Returns: "YES"

  91. {0, 0 }

    {0, 0 }

    {5, 6 }

    0

    3

    1

    0

    Returns: "NO"

  92. {1, 1 }

    {1, 1 }

    {111, 111 }

    4

    4

    1

    1

    Returns: "NO"

  93. {0, 0 }

    {0, 0 }

    {1, 3 }

    0

    1

    2

    0

    Returns: "NO"

  94. {0, 0 }

    {0, 0 }

    {100, 10 }

    0

    5

    0

    20

    Returns: "NO"

  95. {0 }

    {0 }

    {1 }

    2

    0

    -2

    0

    Returns: "NO"

  96. {0}

    {0}

    {1000000000}

    700000000

    700000000

    699999999

    700000001

    Returns: "NO"

  97. {0}

    {0}

    {1000000000}

    999999998

    0

    999999998

    1

    Returns: "NO"

  98. {0}

    {0}

    {1000000000}

    500000000

    0

    500000000

    1

    Returns: "NO"

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