Problem Statement
You have decided to choose the winner using a rooted tree. You are going to make a lottery with the tree as follows:
- The participants are conveniently numbered from 1 to P, inclusive.
- First, you draw the tree onto a rectangular board in such a way that the tree satisfies the following conditions:
- Each node of the tree corresponds to a small circle on the board. The circles are so small that you can ignore their size.
- Each edge of the tree corresponds to a line segment connecting two circles. No two edges are allowed to intersect.
- The root node must be drawn on the top edge of the board.
- For each node, all edges to its children must be going downwards. (In other words, the parent of a node must always be drawn above the node.)
- All of the leaves must be drawn on the bottom edge of the board.
- Next, you split the bottom edge of the board into P segments in such a way that each leaf belongs to exactly one segment. For each segment, you choose a different integer between 1 and P, inclusive, and write that integer into each of the leaves that belong to that segment.
- Now, you will repeat the following process: Find an empty node X such that you have already written integers into all of its children. If there are multiple nodes with this property, choose one uniformly at random. Choose a child of X uniformly at random, and copy the integer written in the chosen child into X. The process terminates once the root node contains an integer.
Definition
- Class:
- LotteryTree
- Method:
- isFairTree
- Parameters:
- int[], int
- Returns:
- String
- Method signature:
- String isFairTree(int[] tree, int P)
- (be sure your method is public)
Constraints
- tree will have between 2 and 100 elements, inclusive.
- For each i, element i (0-based index) of tree will be between 0 and i, inclusive.
- P will be between 2 and 100, inclusive.
- Each node that is not a leaf will have at least 2 children.
Examples
{0, 0, 0}
3
Returns: "YES"
One of the ways to draw the tree is as follows:
{0, 0, 0, 1, 1, 2, 2, 3, 3}
2
Returns: "YES"
One of the ways to draw the tree is as follows: Note that you cannot assign integers to the leaves as follows:
{0, 0, 1, 1, 2, 2, 4, 4, 4}
3
Returns: "NO"
You would be able to make this tree fair if you were allowed to assign integers to leaves arbitrarily. However, given the additional restriction that each integer must be assigned to a consecutive segment of leaves, making this tree fair is not possible.
{0, 0, 1, 1, 1, 3, 3, 3}
3
Returns: "NO"
{0, 0, 0, 3, 0, 0, 3, 6, 3, 1, 0, 2, 0, 4, 6, 15, 1, 15, 11, 11, 1, 4, 11, 2, 11, 2, 6}
6
Returns: "YES"
{0, 1, 2, 3, 1, 1, 4, 4, 0, 1, 6, 9, 1, 12, 9, 2, 4, 8, 6, 13, 8, 5, 11, 12, 17, 19, 13, 9, 3, 24, 30, 29, 28, 28, 11, 27, 2, 26, 6, 14, 8, 26, 15, 25, 33, 38, 1, 24, 15, 43, 3, 39, 26, 8, 13, 50, 28, 8, 6, 27, 8, 38, 27, 50, 17, 50, 25, 40, 7, 29, 22, 40, 2, 24, 22, 30, 33, 40, 19, 14, 26, 39, 5, 43, 7, 4}
9
Returns: "NO"
{0, 1, 0, 0, 4, 0, 2, 2, 0, 2, 6, 1, 3, 6, 5, 9, 11, 13, 1, 10, 14, 4, 7, 21, 16, 8, 25, 4, 5, 22, 25, 14, 12, 11, 12, 26, 21, 8, 2, 38, 3, 5, 4, 38, 27, 35, 38, 30, 38, 9, 16, 36, 6, 10, 7, 27, 30, 33, 17, 26, 17, 10, 35, 10, 38, 41, 15, 9, 3, 27, 8, 15, 38, 22, 41, 33, 33, 36, 30, 13, 18, 22, 18}
12
Returns: "YES"
{0, 0, 2, 3, 4, 3, 2, 1, 8, 6, 8, 8, 2, 7, 14, 2, 8, 1, 11, 11, 12, 16, 12, 19, 20, 13, 7, 12, 26, 11, 18, 19, 18, 20, 4, 9, 1, 1, 6, 16, 1, 35, 27, 24, 37, 30, 36, 41, 32, 36, 8, 2, 6, 14, 41, 1, 35, 6, 30, 16, 12, 2, 35, 25, 50, 13, 1, 24, 8, 32, 26, 50, 9, 19, 9, 20, 26, 27, 6, 12, 25, 9, 37, 37, 9}
7
Returns: "NO"
{0, 0, 1, 0, 2, 3, 0, 0, 8, 5, 7, 5, 2, 12, 12, 14, 14, 13, 8, 2, 1, 7, 18, 16, 8, 24, 18, 2, 24, 3, 11, 5, 24, 4, 34, 6, 31, 13, 38, 19, 4, 3, 22, 3, 11, 12, 21, 34, 41, 8, 19, 4, 13, 29, 33, 8, 14, 50, 18, 45, 16, 50, 44, 50, 38, 5, 43, 31, 29, 7, 6, 45, 38, 4, 19, 41, 50, 21, 44, 41, 43, 22, 33, 6, 8}
12
Returns: "YES"
{0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 9, 9, 9, 9, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 15}
8
Returns: "YES"
{0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 9, 9, 9, 9, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14}
8
Returns: "NO"
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}
2
Returns: "NO"
{0, 1, 0, 3, 3, 1, 3, 2, 5, 9, 2, 5, 12, 9, 14, 14, 8, 8, 5, 3, 1, 1, 6, 1, 15, 20, 12, 20, 3, 22, 22, 1, 10, 27, 22, 27, 16, 15, 28, 28, 26, 9, 19, 10, 7, 14, 19, 16, 5, 4, 8, 16, 1, 11, 7, 35, 6, 2, 26, 3, 14, 5, 9, 3, 8, 35, 12, 11, 15, 4, 15}
7
Returns: "YES"
{0, 1, 0, 3, 0, 0, 1, 5, 4, 0, 6, 3, 10, 6, 6, 7, 5, 5, 10, 7, 7, 3, 4}
6
Returns: "YES"
{0, 1, 0, 3, 0, 0, 1, 5, 4, 0, 6, 3, 10, 6, 6, 7, 5, 5, 10, 7, 7, 3, 4, 10}
6
Returns: "NO"
{0, 0, 2, 0, 4, 0, 1, 6, 7, 2, 0, 8, 11, 5, 5, 1, 15, 12, 2, 1, 9, 20, 11, 4, 22, 19, 20, 3, 15, 24, 23, 2, 10, 22, 3, 22, 8, 25, 30, 25, 1, 23, 42, 10, 5, 11, 38, 27, 1, 10, 4, 42, 15, 13, 49, 47, 30, 8, 42, 9, 12, 20, 62, 9, 62, 52, 24, 6, 13, 44, 44, 6, 38, 22, 52, 4, 19, 7, 8, 27, 49, 5, 30, 47}
12
Returns: "YES"
{0, 0, 0, 2, 2, 0, 6, 7, 5, 8, 10, 10, 4, 7, 0, 15, 10, 1, 9, 18, 15, 17, 1, 23, 1, 12, 3, 18, 2, 2, 23, 28, 4, 24, 11, 2, 21, 26, 27, 21, 8, 32, 7, 32, 1, 4, 29, 22, 23, 38, 29, 38, 6, 35, 7, 5, 18, 28, 26, 11, 35, 1, 8, 27, 22, 3, 21, 61, 26, 17, 15, 7, 6, 24, 28, 35, 8, 32, 17, 61, 10, 35, 1, 12, 35, 2, 3, 5, 9}
9
Returns: "NO"
{0, 1, 1, 2, 1, 2, 0, 2, 7, 7, 9, 3, 5, 5, 12, 11, 15, 9, 2, 1, 11, 2, 1, 9, 17, 18, 16, 5, 19, 23, 4, 30, 11, 24, 17, 2, 8, 14, 25, 25, 30, 25, 1, 43, 21, 34, 25, 23, 8, 29, 27, 16, 12, 8, 21, 25, 7, 14, 3, 5, 7, 2, 29, 15, 7, 34, 1, 24, 3, 19, 29, 10, 4, 0, 10, 7, 16, 27, 68, 27, 68, 14, 5, 18, 7, 25, 43}
7
Returns: "NO"
{0, 0, 1, 0, 2, 4, 0, 6, 4, 4, 2, 8, 3, 1, 7, 0, 7, 2, 16, 19, 14, 16, 13, 4, 8, 24, 4, 22, 10, 18, 29, 25, 25, 15, 18, 10, 24, 8, 17, 8, 6, 4, 10, 15, 16, 21, 27, 6, 26, 19, 20, 11, 26, 3, 13, 27, 42, 2, 20, 23, 3, 14, 29, 4, 45, 2, 30, 12, 15, 19, 42, 21, 19, 13, 3, 45, 30, 2, 11, 45, 23, 1, 21, 3, 45, 22, 26, 17, 26, 12, 6, 13}
12
Returns: "YES"
{0, 1, 0, 1, 3, 5, 0, 3, 7, 9, 6, 0, 6, 4, 11, 4, 12, 4, 4, 1, 20, 3, 14, 17, 16, 0, 0, 20, 5, 21, 10, 12, 3, 21, 7, 26, 16, 36, 36, 37, 2, 1, 34, 11, 9, 24, 24, 22, 26, 22, 37, 3, 23, 1, 11, 23, 42, 34, 2, 6, 24, 19, 6, 27, 1, 4, 19, 23, 11, 47, 16, 42, 26, 42, 14, 23, 17, 37, 7, 0, 7, 47, 5, 10, 37, 3, 17, 3, 27, 10, 11}
6
Returns: "YES"
{0, 0, 0, 0, 3, 5, 1, 6, 5, 2, 4, 9, 12, 9, 2, 9, 2, 7, 12, 13, 10, 5, 2, 1, 8, 20, 23, 5, 28, 3, 3, 20, 11, 29, 8, 17, 24, 21, 32, 26, 1, 12, 29, 13, 31, 25, 25, 3, 8, 12, 3, 5, 7, 16, 26, 12, 16, 22, 25, 28, 2, 30, 6, 15, 32, 22, 23, 11, 7, 10, 17, 31, 11, 11, 7, 7, 28, 11, 15, 4, 5, 30, 21, 24, 5, 8, 11, 30, 9}
5
Returns: "NO"
{0, 0, 2, 2, 1, 4, 6, 3, 1, 1, 4, 10, 0, 6, 4, 5, 6, 0, 8, 15, 18, 2, 17, 12, 20, 18, 5, 7, 0, 23, 12, 27, 4, 10, 7, 12, 11, 8, 8, 14, 20, 37, 0, 16, 19, 7, 23, 39, 44, 15, 16, 43, 20, 3, 4, 1, 17, 39, 49, 0, 45, 8, 5, 49, 20, 19, 12, 45, 66, 20, 18, 1, 44, 29, 1, 3, 1, 66, 14, 37, 6, 16, 27, 11, 35, 37, 29, 29, 43, 35, 39, 43, 19}
6
Returns: "NO"
{0, 0, 2, 3, 0, 0, 1, 5, 6, 1, 5, 3, 4, 4, 8, 8, 12, 7, 8, 5, 13, 2, 12, 9, 2, 9, 5, 23, 17, 17, 23, 15, 22, 11, 10, 29, 35, 35, 27, 13, 40, 33, 37, 4, 27, 23, 33, 12, 30, 28, 4, 28, 15, 24, 7, 42, 24, 36, 47, 22, 24, 61, 43, 45, 45, 37, 43, 3, 10, 11, 29, 37, 25, 3, 30, 27, 47, 13, 59, 40, 61, 59, 24, 37, 43, 6, 57, 57, 23, 42, 9, 36, 25, 22, 59, 1}
9
Returns: "NO"
{0, 1, 2, 0, 0, 5, 0, 7, 3, 6, 6, 5, 6, 2, 3, 13, 13, 4, 12, 11, 10, 17, 12, 16, 10, 11, 4, 18, 20, 15, 3, 19, 6, 12, 23, 8, 2, 14, 28, 29, 10, 9, 39, 36, 17, 36, 17, 2, 9, 12, 16, 19, 15, 27, 27, 2, 27, 11, 53, 14, 39, 8, 18, 36, 26, 19, 19, 15, 8, 1, 39, 9, 8, 9, 28, 46, 7, 18, 1, 5, 4, 2, 29, 6, 10, 39, 26, 2, 39, 23, 10, 53, 26, 8, 20, 2, 7, 46}
9
Returns: "NO"
{0, 0, 1, 1, 1, 1, 1, 3, 8, 3, 9, 5, 7, 8, 12, 6, 14, 4, 5, 19, 18, 12, 4, 21, 19, 11, 17, 20, 4, 0, 1, 20, 10, 12, 21, 10, 7, 5, 16, 13, 14, 11, 35, 3, 1, 2, 29, 4, 3, 17, 29, 48, 23, 22, 6, 8, 48, 12, 4, 2, 23, 13, 21, 4, 9, 18, 22, 11, 5, 3, 0, 17, 27, 13, 4, 14, 28, 27, 14, 28, 37, 16, 37, 13, 35, 22, 17, 10}
3
Returns: "NO"
{0, 0, 1, 1, 3, 3, 3, 4, 8, 2, 2, 1, 7, 2, 10, 3, 11, 1, 7, 5, 6, 7, 19, 2, 6, 9, 7, 12, 13, 26, 4, 10, 4, 14, 6, 33, 7, 29, 14, 33, 34, 7, 5, 21, 9, 11, 24, 1, 13, 21, 24, 12, 41, 2, 6, 8, 5, 32, 41, 34, 35, 26, 12, 3, 9, 7, 2, 24, 45, 4, 19, 36, 1, 36, 41, 35, 4, 36, 2, 1, 22, 29, 9, 45, 6, 32, 19, 13, 26, 13, 33, 22}
7
Returns: "YES"
{0, 0, 2, 1, 2, 3, 3, 7, 0, 7, 8, 9, 5, 3, 9, 12, 15, 5, 8, 4, 19, 2, 15, 5, 4, 14, 6, 7, 1, 22, 6, 1, 29, 15, 16, 14, 10, 10, 4, 26, 33, 3, 26, 12, 14, 41, 33, 46, 24, 34, 24, 45, 9, 41, 35, 42, 8, 22, 21, 9, 21, 33, 42, 10, 45, 31, 7, 10, 51, 66, 31, 6, 66, 8, 14, 41, 21, 27, 19, 22, 7, 4, 34, 7, 5, 35, 46, 16, 42, 29, 66, 26, 9, 4, 51, 12, 27, 5}
5
Returns: "YES"
{0, 0, 0, 0, 1, 3, 6, 0, 6, 3, 0, 8, 7, 10, 12, 12, 0, 8, 13, 15, 7, 2, 11, 17, 24, 24, 17, 3, 13, 20, 1, 23, 26, 7, 27, 3, 19, 7, 4, 23, 0, 10, 15, 24, 11, 18, 24, 20, 5, 28, 21, 4, 26, 35, 34, 26, 39, 30, 5, 19, 24, 10, 21, 7, 13, 27, 39, 29, 51, 30, 2, 24, 16, 26, 30, 18, 6, 18, 23, 29, 43, 16, 43, 26, 14, 34, 14, 51, 35, 28, 28}
3
Returns: "YES"
{0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 8, 5, 6, 5, 10, 8, 12, 2, 5, 11, 7, 4, 6, 4, 11, 4, 10, 4, 6, 13, 2, 4, 28, 4, 25, 0, 11, 32, 4, 0, 9, 2, 6, 13, 5, 42, 0, 2, 15, 19, 2, 8, 39, 9, 20, 14, 7, 16, 22, 17, 39, 30, 20, 4, 32, 32, 12, 14, 30, 1, 22, 14, 5, 19, 9, 16, 32, 6, 25, 40, 17, 40, 42, 28, 32, 28, 12, 40, 15}
3
Returns: "YES"
{0, 1, 1, 0, 0, 1, 5, 1, 7, 6, 5, 1, 3, 9, 4, 10, 12, 4, 9, 3, 1, 15, 6, 9, 2, 4, 20, 6, 1, 5, 16, 16, 32, 20, 28, 7, 18, 6, 5, 32, 28, 34, 10, 11, 7, 12, 2, 7, 7, 17, 4, 41, 1, 18, 5, 46, 7, 24, 17, 20, 30, 21, 10, 13, 15, 13, 24, 3, 11, 34, 28, 31, 8, 3, 48, 30, 3, 36, 36, 2, 31, 8, 7, 12, 6, 34, 46, 48, 5, 41, 1, 21}
10
Returns: "NO"
{0, 0, 2, 1, 1, 2, 1, 1, 8, 9, 3, 4, 7, 6, 7, 6, 16, 15, 7, 17, 7, 18, 7, 4, 15, 25, 5, 1, 14, 7, 24, 14, 19, 6, 26, 33, 20, 13, 1, 11, 8, 34, 11, 19, 11, 18, 22, 9, 34, 2, 50, 3, 10, 50, 20, 8, 33, 24, 45, 48, 13, 25, 4, 20, 18, 15, 20, 3, 26, 7, 16, 3, 9, 50, 5, 20, 16, 15, 3, 45, 17, 18, 48, 36, 14, 3, 17, 10, 22, 36, 19}
9
Returns: "YES"
{0, 1, 0, 0, 4, 2, 0, 7, 6, 1, 5, 2, 7, 2, 7, 14, 11, 1, 2, 19, 11, 8, 17, 9, 3, 0, 1, 19, 10, 18, 10, 12, 24, 29, 31, 5, 16, 16, 5, 22, 20, 11, 0, 33, 5, 21, 8, 9, 39, 14, 15, 1, 32, 20, 2, 33, 9, 2, 24, 17, 14, 4, 6, 21, 29, 41, 33, 21, 18, 0, 22, 11, 24, 31, 38, 5, 18, 43, 3, 15, 39, 19, 9, 11, 12, 32, 6, 38, 41, 19, 3, 43}
6
Returns: "YES"
{0, 1, 2, 1, 0, 2, 5, 4, 8, 2, 7, 4, 12, 6, 3, 3, 16, 1, 11, 7, 9, 14, 20, 5, 7, 25, 25, 12, 26, 1, 14, 6, 8, 8, 22, 13, 35, 2, 22, 5, 8, 8, 32, 5, 13, 28, 19, 5, 1, 4, 35, 8, 10, 10, 30, 11, 5, 9, 45, 25, 19, 14, 28, 1, 26, 16, 4, 7, 14, 4, 17, 20, 6, 53, 28, 30, 12, 20, 22, 9, 5, 81, 37, 53, 76, 76, 37, 13, 32, 45, 20, 81, 9, 17}
7
Returns: "NO"
{0, 0, 0, 3, 3, 5, 1, 5, 6, 7, 1, 7, 2, 3, 5, 9, 9, 11, 14, 4, 1, 11, 14, 2, 4, 23, 4, 10, 16, 12, 10, 30, 14, 12, 4, 20, 16, 35, 19, 37, 4, 10, 18, 3, 30, 9, 32, 11, 24, 24, 8, 41, 32, 2, 43, 32, 19, 33, 1, 35, 22, 6, 2, 27, 49, 24, 37, 9, 41, 27, 14, 22, 29, 73, 73, 39, 8, 33, 55, 10, 23, 20, 1, 55, 39, 10, 43, 29, 17, 49, 3, 17, 18, 24}
10
Returns: "NO"
{0, 1, 1, 2, 2, 2, 2, 3, 7, 0, 9, 3, 3, 2, 10, 8, 1, 10, 1, 7, 4, 1, 14, 12, 9, 17, 18, 25, 10, 5, 17, 23, 8, 15, 10, 10, 6, 4, 23, 14, 6, 11, 10, 22, 38, 6, 4, 41, 7, 26, 41, 48, 1, 27, 44, 19, 25, 27, 26, 3, 14, 11, 21, 12, 45, 15, 45, 13, 48, 44, 16, 68, 10, 14, 48, 18, 14, 3, 5, 22, 38, 68, 13, 41, 6, 18, 19, 4, 25, 12, 16, 21, 1}
7
Returns: "YES"
{0, 0, 0, 0, 4, 0, 0, 2, 5, 5, 9, 9, 6, 10, 5, 12, 9, 7, 14, 0, 15, 20, 2, 3, 2, 4, 3, 0, 10, 0, 6, 21, 12, 10, 20, 11, 1, 2, 8, 39, 10, 4, 8, 14, 3, 24, 17, 32, 43, 0, 13, 15, 11, 2, 3, 13, 42, 42, 36, 24, 6, 17, 49, 9, 39, 14, 43, 14, 14, 45, 7, 25, 25, 6, 6, 4, 10, 3, 5, 1, 17, 32, 13, 17, 28, 0, 36, 7, 49, 45, 24, 17, 28, 21}
5
Returns: "YES"
{0, 0, 1, 2, 1, 0, 2, 5, 4, 7, 2, 9, 3, 7, 0, 11, 13, 5, 3, 0, 10, 3, 5, 10, 6, 22, 15, 6, 13, 17, 4, 4, 8, 33, 6, 23, 4, 0, 12, 17, 10, 9, 1, 24, 4, 7, 35, 5, 22, 28, 31, 10, 26, 9, 2, 16, 13, 38, 30, 1, 24, 40, 4, 12, 33, 30, 16, 9, 2, 13, 25, 4, 25, 15, 14, 33, 10, 31, 40, 8, 38, 26, 11, 28, 0, 23, 13, 14, 35}
6
Returns: "NO"
{0, 1, 1, 3, 2, 0, 4, 6, 5, 6, 8, 6, 1, 9, 3, 2, 5, 12, 17, 8, 17, 16, 15, 21, 11, 10, 4, 19, 8, 4, 26, 7, 9, 7, 19, 1, 5, 4, 16, 17, 34, 4, 31, 27, 44, 6, 6, 20, 1, 37, 25, 20, 5, 38, 26, 5, 56, 37, 55, 7, 25, 15, 6, 34, 25, 1, 1, 14, 8, 8, 8, 41, 9, 50, 57, 57, 50, 14, 2, 17, 8, 38, 21, 17, 19, 10, 41, 55, 44, 12, 31, 25, 11, 21, 56, 15, 8, 34, 27}
7
Returns: "NO"
{0, 0, 1, 0, 0, 5, 2, 7, 3, 6, 4, 5, 10, 13, 9, 4, 0, 17, 2, 6, 1, 17, 3, 1, 5, 15, 22, 3, 14, 24, 2, 19, 3, 12, 12, 7, 25, 36, 28, 5, 24, 28, 34, 1, 34, 18, 43, 7, 6, 14, 23, 30, 20, 22, 4, 44, 22, 10, 36, 37, 20, 11, 47, 2, 27, 13, 27, 43, 43, 37, 44, 55, 30, 4, 10, 9, 19, 25, 5, 23, 18, 55, 6, 5, 24, 15, 11, 25, 34, 11, 47, 55, 20, 19}
12
Returns: "YES"
{0, 0, 1, 0, 2, 1, 6, 4, 0, 0, 6, 10, 2, 9, 11, 4, 3, 8, 4, 18, 5, 5, 2, 10, 15, 16, 0, 15, 25, 12, 13, 30, 21, 24, 14, 2, 13, 12, 3, 11, 2, 35, 33, 3, 16, 1, 25, 40, 1, 29, 26, 23, 33, 8, 25, 8, 17, 23, 17, 35, 24, 8, 18, 40, 12, 0, 39, 38, 16, 20, 12, 13, 21, 36, 4, 35, 24, 20, 32, 25, 29, 26, 4, 32, 30, 35, 17, 20, 36, 26, 14, 29, 12, 31, 9, 38, 13, 31, 39}
6
Returns: "NO"
{0, 0, 0, 2, 0, 5, 6, 0, 4, 8, 6, 11, 4, 12, 3, 15, 6, 8, 3, 14, 8, 1, 3, 6, 7, 5, 18, 2, 15, 17, 3, 22, 12, 11, 1, 34, 29, 23, 15, 38, 23, 4, 20, 12, 9, 16, 45, 18, 13, 17, 4, 17, 7, 13, 16, 44, 28, 20, 23, 11, 20, 53, 6, 28, 23, 15, 3, 2, 44, 7, 22, 3, 4, 9, 14, 7, 56, 38, 22, 5, 6, 34, 12, 30, 45, 8, 53, 29, 7, 6, 16, 71, 9, 15, 56, 8, 30, 71}
6
Returns: "YES"
{0, 0, 0, 0, 1, 0, 4, 4, 1, 2, 6, 6, 4, 3, 2, 14, 4, 3, 8, 16, 4, 19, 3, 7, 0, 7, 3, 1, 6, 6, 25, 8, 15, 16, 30, 13, 14, 19, 19, 24, 6, 19, 11, 19, 24, 11, 13, 16, 40, 15, 25, 18, 14, 30, 23, 23, 5, 47, 12, 8, 13, 40, 18, 5, 9, 50, 25, 1, 12, 1, 14, 55, 16, 56, 12, 47, 3, 11, 20, 56, 55, 2, 20, 9, 20, 14, 50, 11, 2}
5
Returns: "YES"
{0, 1, 2, 2, 2, 4, 3, 0, 5, 5, 9, 10, 6, 5, 9, 3, 1, 1, 5, 3, 18, 9, 12, 23, 2, 12, 8, 25, 22, 29, 13, 0, 26, 7, 26, 8, 17, 16, 2, 37, 29, 15, 27, 1, 17, 12, 24, 26, 44, 23, 25, 44, 27, 6, 12, 44, 9, 15, 10, 42, 3, 7, 16, 18, 25, 7, 22, 24, 42, 17, 7, 68, 12, 68, 72, 4, 22, 17, 18, 72, 12, 25, 78, 16, 13, 24, 37, 78, 5, 13, 1, 0}
3
Returns: "NO"
{0, 0, 1, 0, 1, 0, 0, 4, 7, 8, 9, 6, 2, 7, 6, 2, 7, 17, 2, 18, 4, 10, 12, 2, 14, 16, 10, 9, 23, 3, 7, 6, 20, 27, 27, 30, 1, 26, 35, 1, 32, 20, 13, 9, 9, 35, 28, 7, 32, 3, 45, 8, 20, 46, 15, 21, 13, 28, 30, 15, 16, 16, 19, 45, 6, 23, 55, 38, 33, 15, 19, 47, 46, 19, 12, 47, 14, 20, 18, 26, 20, 55, 18, 21, 21, 33, 7, 9, 38, 14, 27, 1, 28, 17, 1}
12
Returns: "YES"
{0, 0, 0, 0, 1, 2, 2, 0, 7, 5, 7, 0, 7, 4, 3, 10, 12, 11, 1, 4, 3, 15, 9, 8, 10, 16, 26, 22, 22, 26, 7, 13, 18, 12, 14, 19, 13, 26, 10, 11, 0, 13, 8, 41, 0, 10, 3, 26, 5, 44, 25, 43, 50, 14, 16, 17, 16, 29, 9, 57, 10, 29, 16, 49, 15, 61, 25, 43, 21, 61, 57, 44, 24, 19, 50, 19, 18, 49, 19, 41, 17, 6, 0, 21, 6, 24, 7, 24, 1, 25}
8
Returns: "YES"
{0, 1, 2, 0, 3, 5, 5, 0, 0, 4, 1, 8, 11, 9, 1, 4, 5, 2, 5, 8, 18, 11, 11, 7, 23, 7, 3, 23, 0, 12, 19, 9, 19, 6, 30, 7, 5, 17, 20, 18, 27, 26, 6, 35, 17, 2, 1, 8, 35, 9, 31, 16, 38, 17, 0, 7, 32, 26, 16, 10, 18, 3, 16, 20, 20, 32, 39, 15, 4, 15, 10, 4, 23, 5, 27, 27, 35, 12, 18, 23, 5, 39, 18, 38, 17, 12, 30, 3, 0, 31, 17, 3, 26, 10, 27, 10}
6
Returns: "NO"
{0, 0, 0, 2, 2, 5, 4, 0, 7, 2, 3, 1, 10, 13, 11, 11, 12, 3, 17, 11, 16, 18, 17, 8, 9, 21, 10, 13, 27, 6, 6, 22, 18, 26, 13, 1, 2, 20, 24, 39, 5, 19, 9, 2, 43, 7, 16, 26, 43, 8, 27, 4, 4, 39, 16, 28, 9, 5, 5, 59, 27, 32, 19, 24, 6, 21, 12, 20, 28, 26, 37, 45, 23, 28, 9, 6, 0, 7, 4, 37, 18, 45, 59, 22, 3, 39, 23, 7, 4, 19, 32, 20, 4, 9}
6
Returns: "NO"
{0, 0, 0, 0, 4, 3, 6, 7, 3, 2, 8, 0, 5, 5, 0, 3, 13, 6, 7, 19, 13, 5, 11, 18, 9, 18, 23, 12, 24, 11, 14, 11, 15, 5, 8, 13, 4, 14, 8, 17, 30, 5, 1, 17, 33, 26, 46, 33, 0, 4, 42, 43, 21, 26, 4, 21, 45, 9, 17, 29, 24, 9, 30, 41, 18, 51, 15, 42, 61, 44, 51, 41, 43, 31, 12, 1, 14, 37, 2, 17, 19, 18, 61, 31, 44, 2, 45, 4, 37, 20, 20, 29, 23, 44, 5, 46, 9}
6
Returns: "NO"
{0, 0, 0, 2, 3, 2, 4, 6, 7, 0, 6, 11, 9, 1, 9, 0, 12, 1, 15, 0, 17, 16, 10, 17, 7, 18, 11, 27, 16, 9, 3, 3, 18, 6, 7, 16, 12, 13, 2, 1, 1, 38, 8, 22, 32, 25, 10, 20, 27, 32, 15, 25, 2, 23, 51, 9, 20, 37, 29, 20, 13, 27, 32, 1, 25, 11, 51, 9, 41, 38, 9, 4, 6, 32, 21, 30, 0, 16, 23, 30, 8, 9, 32, 32, 1, 21, 23, 8, 22, 38, 37, 29, 41, 37, 9}
6
Returns: "YES"
{0, 1, 0, 1, 0, 4, 0, 5, 4, 8, 5, 3, 9, 12, 0, 12, 16, 3, 11, 15, 20, 12, 20, 3, 23, 7, 14, 0, 4, 12, 3, 9, 2, 5, 13, 7, 9, 34, 14, 23, 25, 7, 27, 11, 0, 43, 43, 17, 16, 27, 43, 20, 13, 13, 21, 28, 4, 1, 2, 11, 2, 5, 61, 11, 30, 61, 4, 30, 7, 1, 17, 32, 1, 21, 34, 17, 21, 25, 8, 76, 23, 15, 76, 21, 4, 28, 32, 9}
6
Returns: "NO"
{0, 0, 1, 1, 3, 4, 6, 0, 2, 3, 3, 6, 3, 4, 2, 8, 12, 11, 18, 19, 11, 21, 8, 15, 14, 2, 2, 17, 1, 15, 17, 12, 13, 21, 7, 5, 19, 33, 12, 34, 8, 1, 18, 15, 30, 25, 21, 16, 5, 23, 30, 42, 7, 15, 8, 25, 26, 16, 26, 53, 42, 53, 41, 1, 17, 32, 50, 21, 53, 2, 22, 14, 20, 10, 19, 8, 5, 4, 39, 49, 7, 50, 41, 10, 42, 13, 32, 34, 71, 49, 33, 20, 39, 71, 22, 23}
10
Returns: "YES"
{0, 1, 0, 2, 4, 3, 2, 1, 0, 3, 6, 10, 2, 10, 9, 0, 0, 14, 16, 17, 0, 2, 13, 12, 24, 13, 18, 14, 4, 5, 0, 9, 12, 26, 28, 17, 32, 29, 13, 20, 16, 1, 35, 32, 28, 10, 0, 10, 14, 37, 20, 48, 35, 34, 5, 48, 15, 28, 1, 34, 13, 24, 9, 49, 22, 16, 31, 58, 31, 18, 31, 26, 14, 27, 42, 18, 22, 77, 49, 44, 71, 6, 4, 29, 77, 14, 24, 58, 71, 3, 27, 44, 15, 0, 10, 37, 26, 35, 42}
4
Returns: "YES"
{0, 0, 2, 2, 3, 4, 1, 2, 3, 6, 1, 11, 1, 13, 0, 7, 15, 13, 2, 4, 1, 10, 6, 6, 15, 10, 23, 8, 10, 3, 24, 19, 11, 16, 3, 12, 22, 5, 10, 7, 20, 15, 22, 16, 24, 12, 16, 19, 19, 8, 50, 10, 6, 50, 5, 32, 21, 37, 24, 26, 25, 20, 6, 20, 24, 42, 27, 17, 21, 47, 42, 15, 1, 21, 20, 2, 8, 74, 26, 32, 25, 22, 23, 3, 2, 37, 19, 74, 17, 47, 10, 20, 8, 12, 27, 6}
10
Returns: "NO"
{0, 0, 2, 3, 0, 5, 0, 3, 6, 1, 4, 7, 12, 11, 4, 0, 16, 8, 10, 18, 9, 21, 7, 7, 14, 12, 22, 23, 4, 3, 16, 29, 14, 11, 28, 4, 29, 3, 4, 14, 6, 12, 10, 39, 10, 39, 43, 8, 19, 2, 9, 43, 24, 6, 12, 50, 16, 50, 18, 14, 49, 17, 16, 23, 0, 9, 14, 12, 16, 6, 17, 19, 49, 22, 20, 8, 24, 20, 47, 29, 18, 5, 1, 39, 29, 50, 6, 10, 28, 60, 3, 60, 6, 20, 47, 21}
5
Returns: "NO"
{0, 0, 2, 1, 1, 2, 5, 0, 7, 7, 8, 11, 6, 11, 7, 14, 11, 12, 8, 1, 8, 5, 7, 15, 11, 25, 18, 20, 19, 2, 6, 23, 12, 1, 19, 30, 22, 9, 17, 2, 10, 8, 2, 15, 6, 10, 8, 28, 39, 23, 6, 9, 28, 42, 20, 32, 32, 25, 25, 49, 39, 17, 39, 16, 11, 5, 55, 4, 22, 4, 27, 65, 30, 20, 9, 63, 65, 21, 49, 5, 65, 28, 16, 63, 18, 49, 21, 5, 1, 5, 27, 42, 63, 30, 14, 6, 18, 55}
10
Returns: "NO"
{0, 0, 2, 1, 1, 3, 3, 0, 3, 8, 8, 11, 11, 9, 5, 6, 2, 13, 10, 4, 3, 5, 16, 19, 20, 13, 4, 4, 19, 27, 0, 22, 18, 11, 24, 20, 27, 18, 9, 24, 11, 10, 1, 6, 22, 16}
3
Returns: "NO"
{0, 0, 2, 0, 2, 0, 6, 2, 8, 7, 0, 0, 12, 8, 11, 6, 13, 10, 7, 14, 10, 11, 9, 2, 8, 5, 10, 0, 9, 15, 5, 0, 10, 13, 14, 7, 7, 14, 12, 15}
3
Returns: "NO"
{0, 0, 2, 3, 4, 3, 0, 0, 3, 3, 5, 2, 9, 9, 5, 13, 16, 13, 4, 1, 16, 15, 8, 2, 2, 15, 0, 0, 23, 0, 8, 9, 15, 2, 1, 0, 3, 5, 23, 4, 30, 30}
3
Returns: "NO"
{0, 0, 2, 2, 1, 3, 2, 4, 4, 5, 6, 3, 11, 2, 0, 0, 5, 9, 1, 13, 17, 0, 9, 10, 7, 10, 7, 6, 21, 13, 11, 1, 25, 6, 6, 17, 25, 21, 28, 28}
3
Returns: "NO"
{0, 0, 2, 2, 0, 5, 0, 7, 2, 3, 3, 4, 7, 2, 4, 15, 0, 10, 5, 9, 12, 12, 12, 4, 15, 21, 1, 22, 21, 27, 0, 10, 6, 27, 0, 24, 22, 24, 9, 1, 6, 4, 21}
3
Returns: "NO"
{0, 1, 2, 1, 1, 4, 1, 0, 6, 9, 0, 4, 2, 2, 2, 1, 15, 11, 5, 3, 15, 11, 9, 0, 2, 0, 6, 5, 3, 12, 15, 11, 28, 12, 1, 28, 15, 12, 15, 6}
3
Returns: "YES"
{0, 0, 1, 2, 1, 1, 0, 4, 2, 1, 2, 6, 6, 0, 2, 8, 15, 0, 15, 6, 7, 7, 6, 9, 4, 1, 25, 5, 5, 9, 8, 8, 4, 6, 8, 8, 4, 9, 25}
4
Returns: "NO"
{0, 0, 2, 1, 1, 4, 6, 3, 1, 8, 8, 5, 9, 5, 5, 12, 7, 12, 6, 16, 1, 2, 3, 1, 3, 14, 7, 14, 17, 9, 16, 21, 6, 3, 4, 21, 2, 8, 12, 2, 16, 17, 8}
5
Returns: "NO"
{0, 0, 0, 3, 2, 1, 5, 7, 8, 7, 8, 6, 9, 1, 2, 4, 3, 9, 8, 12, 3, 2, 5, 7, 2, 1, 6, 0, 1, 12, 3, 4, 1, 1, 15, 15, 2, 0}
3
Returns: "YES"
{0, 0, 0, 3, 2, 0, 0, 1, 8, 3, 8, 7, 1, 13, 4, 1, 7, 1, 13, 16, 6, 3, 19, 8, 4, 14, 19, 7, 7, 6, 14, 1, 13, 22, 13, 16, 22, 6, 2, 0, 14, 1, 0}
6
Returns: "NO"
{0, 0, 1, 0, 0, 5, 3, 4, 5, 9, 6, 2, 0, 2, 7, 13, 2, 7, 9, 1, 1, 8, 6, 17, 13, 2, 10, 17, 1, 5, 13, 4, 10, 13, 2, 2, 3, 4, 8}
6
Returns: "NO"
{0, 0, 1, 1, 3, 2, 4, 3, 5, 7, 4, 9, 6, 5, 2, 3, 13, 13, 12, 13, 12, 2, 1, 3, 1, 5, 5, 12, 1, 3, 14, 4, 7, 14, 9, 12, 2, 2, 6, 12}
5
Returns: "YES"
{0, 1, 0, 0, 0, 3, 4, 0, 1, 7, 4, 0, 11, 5, 9, 11, 14, 6, 7, 11, 5, 21, 6, 16, 2, 2, 3, 24, 24, 9, 20, 2, 5, 14, 16, 12, 6, 10, 20, 12, 10, 0, 21, 10, 20, 1}
6
Returns: "YES"
{0, 1, 2, 2, 0, 2, 3, 6, 3, 1, 6, 7, 9, 5, 0, 5, 3, 3, 0, 5, 14, 4, 6, 1, 10, 16, 16, 19, 10, 16, 4, 14, 19, 7, 0, 10, 1, 9, 9}
4
Returns: "NO"
{0, 1, 0, 0, 4, 1, 0, 0, 6, 4, 3, 7, 3, 13, 6, 9, 8, 5, 8, 1, 2, 8, 6, 5, 7, 13, 14, 9, 14, 6, 13, 2, 5, 5, 9, 6, 1}
6
Returns: "NO"
{0, 0, 2, 0, 4, 0, 0, 6, 5, 6, 9, 1, 12, 10, 11, 9, 11, 11, 1, 13, 4, 16, 6, 13, 5, 6, 7, 8, 20, 1, 2, 7, 12, 20, 10, 11, 12, 2, 8, 13, 16, 8, 11}
6
Returns: "NO"
{0, 1, 0, 2, 3, 1, 3, 0, 5, 9, 8, 4, 10, 10, 11, 7, 5, 8, 6, 7, 6, 2, 4, 9, 4, 5, 11, 8, 0, 8, 5, 1, 3, 14, 14}
3
Returns: "YES"
{0, 0, 1, 2, 1, 2, 3, 2, 8, 1, 5, 7, 5, 12, 11, 8, 2, 12, 7, 5, 4, 3, 4, 5, 7, 12, 20, 1, 1, 14, 28, 14, 3, 5, 28, 2, 11, 20, 1, 7, 14}
5
Returns: "NO"
{0, 0, 1, 2, 4, 3, 5, 7, 6, 9, 5, 7, 10, 3, 10, 3, 11, 7, 6, 14, 11, 9, 13, 15, 5, 8, 13, 9, 17, 8, 2, 14, 7, 17, 10, 16, 15, 4, 3, 1, 16, 6}
3
Returns: "YES"
{0, 0, 0, 1, 0, 5, 2, 1, 1, 2, 6, 6, 9, 6, 1, 3, 3, 1, 4, 4, 14, 7, 5, 9, 6, 7, 11, 3, 5, 0, 1, 6, 2, 14, 20, 20, 11}
4
Returns: "NO"
{0, 0, 0, 1, 3, 3, 4, 2, 5, 1, 5, 11, 5, 5, 11, 4, 1, 11, 2, 19, 13, 19, 6, 10, 11, 2, 5, 13, 22, 2, 1, 1, 22, 6, 10, 0, 13, 11, 29, 2, 29}
5
Returns: "NO"
{0, 0, 2, 0, 3, 1, 2, 2, 4, 9, 1, 8, 9, 7, 0, 12, 13, 0, 12, 3, 15, 8, 17, 13, 18, 5, 1, 7, 15, 5, 17, 7, 15, 9, 7, 18, 2, 17, 4, 3}
6
Returns: "YES"
{0, 0, 1, 3, 3, 0, 3, 5, 5, 6, 6, 9, 5, 1, 6, 4, 6, 4, 18, 10, 2, 3, 3, 0, 9, 3, 2, 18, 6, 16, 2, 2, 10, 2, 5, 5, 16, 1}
5
Returns: "NO"
{0, 1, 1, 0, 1, 3, 5, 6, 5, 5, 10, 4, 4, 4, 10, 2, 7, 3, 15, 6, 16, 6, 7, 10, 15, 5, 3, 17, 16, 29, 7, 4, 29, 17, 2, 1, 5, 10, 4}
5
Returns: "NO"
{0, 1, 2, 1, 0, 5, 5, 1, 7, 6, 10, 4, 3, 6, 7, 10, 1, 11, 17, 8, 5, 11, 2, 21, 6, 7, 11, 3, 10, 4, 23, 11, 3, 3, 21, 8, 5, 2, 5, 17, 23}
5
Returns: "NO"
{0, 0, 0, 0, 0, 0, 0, 3, 4, 0, 7, 0, 8, 8, 7, 1, 2, 5, 1, 1, 16, 2, 2, 3, 6, 17, 0, 11, 2, 16, 17, 5, 7, 6, 11, 6, 0, 11, 4}
6
Returns: "NO"
{0, 0, 0, 0, 1, 2, 2, 2, 3, 3, 4, 6, 1, 2, 1, 11, 10, 11, 0, 10, 15, 9, 11, 5, 23, 7, 15, 4, 5, 10, 21, 7, 28, 21, 32, 4, 23, 1, 14, 9, 14, 6, 28, 32, 4, 11}
3
Returns: "NO"
{0, 1, 0, 2, 1, 1, 5, 2, 5, 3, 2, 8, 2, 8, 7, 0, 3, 6, 14, 14, 7, 18, 6, 12, 10, 9, 0, 1, 18, 9, 6, 15, 15, 6, 10, 35, 10, 35, 4, 2, 4, 12}
3
Returns: "NO"
{0, 1, 2, 2, 1, 4, 4, 3, 5, 1, 7, 4, 0, 2, 13, 14, 8, 2, 8, 7, 6, 17, 3, 3, 6, 14, 13, 13, 5, 13, 16, 17, 11, 3, 1, 11, 21, 21, 7, 6, 13, 1, 11, 16, 14, 5, 2}
5
Returns: "YES"
{0, 1, 0, 2, 0, 3, 2, 1, 3, 7, 9, 9, 6, 6, 7, 15, 9, 3, 11, 2, 10, 3, 1, 5, 1, 11, 0, 9, 10, 1, 10, 15, 11, 1, 5}
3
Returns: "YES"
{0, 0, 0, 3, 0, 0, 0, 4, 2, 0, 4, 4, 9, 9, 3, 5, 5, 4, 1, 12, 5, 14, 14, 2, 8, 12, 16, 5, 7, 26, 14, 30, 1, 8, 7, 30, 12, 4, 16, 26, 8}
3
Returns: "YES"
{0, 0, 2, 3, 1, 1, 5, 0, 0, 3, 4, 3, 8, 8, 7, 7, 5, 15, 17, 4, 4, 0, 2, 16, 19, 17, 15, 4, 18, 5, 19, 5, 1, 23, 3, 16, 18, 7, 18, 23}
4
Returns: "YES"
{0, 1, 0, 3, 0, 4, 2, 1, 1, 5, 10, 11, 7, 10, 2, 7, 13, 14, 0, 0, 4, 11, 7, 2, 11, 16, 1, 10, 1, 14, 3, 5, 16, 2, 13, 3, 1, 7}
4
Returns: "YES"
{0, 1, 2, 1, 0, 5, 4, 2, 0, 6, 8, 0, 11, 9, 3, 0, 16, 8, 16, 4, 13, 8, 15, 17, 16, 12, 8, 7, 10, 17, 2, 15, 3, 2, 6, 7, 10, 13, 5, 15, 11, 9, 8, 12}
4
Returns: "YES"
{0, 0, 2, 1, 1, 3, 2, 1, 1, 4, 10, 8, 6, 5, 1, 1, 14, 5, 4, 13, 20, 10, 11, 0, 9, 0, 9, 25, 14, 4, 3, 25, 3, 13, 6, 13, 20, 11, 8, 25, 4, 2}
3
Returns: "YES"
{0, 1, 0, 3, 0, 0, 0, 7, 2, 7, 5, 6, 5, 4, 2, 2, 15, 12, 1, 12, 10, 15, 12, 3, 2, 23, 12, 25, 25, 10, 2, 7, 7, 6, 23, 5, 4, 10, 23}
6
Returns: "NO"
{0, 0, 2, 3, 1, 2, 0, 7, 2, 9, 5, 7, 10, 8, 1, 8, 5, 6, 10, 18, 3, 2, 4, 4, 7, 18, 4, 4, 9, 8, 24, 2, 6, 24, 4, 6, 2, 7, 3, 10}
4
Returns: "YES"
{0, 1, 0, 0, 1, 5, 1, 3, 8, 0, 0, 5, 9, 6, 12, 14, 2, 9, 18, 8, 3, 14, 10, 14, 8, 9, 9, 10, 12, 15, 2, 5, 15, 3, 6, 15, 1, 3, 10, 8, 18, 2, 5, 18, 1}
3
Returns: "YES"
{0, 1, 0, 1, 1, 2, 5, 2, 5, 8, 1, 6, 3, 12, 9, 5, 9, 13, 15, 5, 18, 3, 9, 2, 13, 9, 1, 18, 6, 3, 2, 8, 15, 19, 19, 19, 12, 3, 12, 3}
5
Returns: "YES"
{0, 1, 2, 1, 0, 3, 5, 1, 8, 2, 2, 10, 7, 0, 1, 1, 4, 0, 7, 1, 0, 14, 3, 12, 12, 5, 4, 2, 2, 0, 0, 12, 10, 2, 8, 14, 8}
3
Returns: "NO"
{0, 1, 0, 1, 3, 0, 2, 2, 6, 7, 10, 10, 10, 6, 3, 13, 9, 5, 2, 16, 9, 17, 14, 11, 7, 14, 22, 19, 5, 16, 29, 14, 4, 7, 28, 1, 13, 3, 27, 14, 14, 32, 19, 38, 29, 10, 43, 7, 3, 1, 16, 2, 28, 19, 4, 19, 26, 55, 33, 55, 33, 38, 5, 17, 4, 6, 2, 6, 22, 19, 10, 26, 5, 13, 13, 42, 42, 59, 28, 32, 38, 3, 1, 27, 43, 14, 22, 11, 59, 16, 9, 26, 29, 27}
10
Returns: "NO"
{0, 0, 1, 1, 3, 0, 3, 0, 4, 0, 8, 8, 6, 12, 2, 2, 4, 9, 10, 5, 12, 20, 5, 3, 24, 22, 23, 20, 21, 26, 10, 11, 5, 10, 17, 2, 34, 13, 28, 10, 25, 34, 9, 9, 21, 21, 27, 27, 31, 26, 17, 34, 14, 12, 25, 43, 16, 39, 1, 3, 14, 48, 14, 36, 31, 28, 13, 24, 59, 11, 31, 43, 13, 39, 6, 6, 23, 54, 29, 36, 16, 22, 55, 27, 14, 34, 59, 29, 48, 54, 6, 11, 39, 24, 55, 54, 1, 29}
12
Returns: "NO"
{0, 1, 1, 0, 4, 0, 4, 2, 1, 7, 6, 5, 9, 1, 9, 0, 10, 11, 6, 9, 7, 16, 3, 10, 12, 17, 19, 2, 8, 10, 0, 4, 22, 8, 2, 23, 31, 22, 16, 11, 9, 13, 15, 9, 43, 1, 21, 30, 33, 24, 13, 5, 30, 17, 2, 24, 6, 38, 5, 45, 1, 12, 3, 59, 56, 9, 59, 27, 50, 40, 50, 38, 17, 33, 22, 16, 23, 27, 11, 6, 19, 5, 56, 31, 43, 15, 1, 40, 19, 17, 31, 45, 21}
8
Returns: "NO"
{0, 0, 0, 3, 0, 1, 1, 4, 7, 4, 0, 2, 1, 9, 1, 15, 12, 3, 12, 18, 5, 6, 14, 6, 20, 8, 22, 11, 28, 24, 26, 9, 21, 24, 6, 2, 13, 25, 32, 2, 7, 9, 39, 5, 7, 20, 40, 29, 7, 9, 42, 32, 22, 17, 4, 15, 11, 24, 29, 21, 0, 4, 5, 52, 57, 15, 52, 3, 0, 39, 1, 39, 29, 18, 26, 42, 47, 14, 25, 13, 25, 1, 2, 52, 14, 57, 17, 1, 9, 52, 51, 8, 13, 28, 8, 51, 47, 40}
6
Returns: "YES"
{0, 1, 2, 2, 2, 1, 4, 5, 2, 1, 0, 10, 12, 2, 8, 3, 14, 13, 8, 16, 0, 9, 12, 4, 4, 11, 21, 17, 7, 18, 12, 29, 20, 13, 7, 18, 10, 21, 28, 38, 25, 11, 33, 10, 12, 22, 0, 30, 28, 45, 2, 22, 22, 16, 30, 2, 10, 33, 31, 12, 59, 0, 41, 31, 56, 5, 42, 56, 1, 59, 36, 29, 3, 30, 2, 28, 36, 9, 29, 10, 17, 11, 10, 13, 31, 14, 3, 2, 31, 20, 18, 21, 7, 38, 30, 25, 42, 41, 45}
4
Returns: "NO"
{0, 1, 1, 0, 4, 1, 4, 4, 6, 9, 2, 1, 2, 8, 3, 5, 14, 2, 11, 3, 11, 14, 22, 16, 12, 14, 25, 16, 8, 21, 5, 18, 2, 14, 12, 2, 1, 8, 12, 12, 24, 9, 21, 7, 36, 31, 7, 6, 30, 24, 1, 48, 31, 16, 22, 17, 51, 42, 4, 21, 23, 12, 23, 4, 51, 55, 7, 48, 41, 1, 19, 45, 17, 24, 4, 36, 26, 45, 18, 6, 17, 55, 6, 25, 26, 19, 8, 24, 42, 41, 31, 30, 4, 24}
7
Returns: "YES"
{0, 0, 2, 1, 4, 3, 1, 2, 1, 8, 9, 1, 11, 5, 12, 14, 2, 10, 17, 16, 6, 6, 14, 11, 12, 9, 21, 2, 5, 8, 25, 6, 19, 17, 13, 6, 2, 4, 12, 23, 5, 30, 23, 41, 5, 30, 41, 16, 10, 2, 6, 10, 29, 25, 10, 20, 29, 11, 5, 2, 13, 9, 44, 30, 11, 30, 23, 30, 4, 8, 53, 21, 44, 16, 17, 10, 20, 3, 1, 14, 53, 19, 61, 1, 1, 61, 5}
7
Returns: "YES"
{0, 0, 2, 0, 3, 5, 0, 1, 1, 8, 10, 2, 12, 4, 12, 13, 5, 7, 16, 6, 13, 1, 17, 12, 13, 13, 2, 13, 17, 10, 23, 10, 14, 23, 26, 30, 16, 7, 33, 11, 12, 9, 3, 39, 14, 6, 3, 4, 15, 11, 43, 11, 3, 18, 22, 15, 7, 8, 30, 36, 36, 8, 14, 23, 13, 23, 12, 18, 35, 25, 13, 22, 39, 38, 35, 4, 36, 39, 38, 18, 3, 25, 33, 26, 11, 9, 25, 38, 16, 43}
9
Returns: "NO"
{0, 1, 1, 0, 2, 4, 1, 3, 5, 4, 8, 1, 4, 6, 9, 12, 16, 11, 12, 15, 17, 18, 9, 7, 23, 10, 23, 10, 18, 9, 7, 25, 5, 21, 19, 28, 3, 21, 25, 39, 15, 1, 4, 3, 39, 33, 3, 16, 20, 14, 4, 18, 1, 11, 15, 5, 20, 17, 4, 20, 31, 19, 33, 9, 5, 10, 10, 16, 49, 28, 39, 5, 22, 6, 22, 31, 15, 23, 4, 33, 9, 17, 14, 21, 8, 31, 23, 17, 1, 2, 49}
7
Returns: "YES"
{0, 0, 2, 0, 4, 0, 0, 6, 1, 8, 3, 9, 10, 9, 4, 7, 16, 7, 11, 3, 17, 6, 4, 12, 10, 11, 14, 25, 12, 4, 29, 1, 28, 3, 3, 34, 22, 3, 8, 14, 4, 3, 22, 25, 17, 13, 7, 16, 2, 2, 49, 49, 32, 8, 52, 55, 20, 5, 12, 18, 14, 13, 32, 17, 20, 58, 14, 41, 34, 19, 34, 58, 25, 19, 14, 48, 5, 10, 55, 29, 28, 30, 30, 5, 4, 7, 20, 18, 22, 52, 5, 48, 41, 18}
12
Returns: "YES"
{0, 1, 1, 1, 1, 0, 3, 2, 4, 4, 6, 4, 6, 8, 6, 5, 13, 8, 11, 10, 12, 7, 21, 19, 1, 19, 13, 18, 28, 16, 8, 25, 3, 2, 11, 32, 18, 23, 35, 9, 30, 23, 17, 35, 32, 30, 20, 43, 37, 10, 30, 46, 15, 9, 43, 9, 31, 47, 38, 33, 16, 38, 46, 33, 7, 25, 43, 46, 2, 8, 31, 15, 48, 28, 47, 19, 15, 17, 5, 12, 48, 49, 48, 49, 32, 4, 31, 67, 28, 67, 49, 20, 7, 37, 21}
9
Returns: "NO"
{0, 0, 0, 2, 1, 4, 6, 5, 8, 0, 0, 11, 8, 5, 7, 12, 2, 12, 2, 2, 11, 0, 15, 6, 13, 19, 6, 7, 21, 0, 3, 18, 1, 7, 13, 33, 24, 4, 18, 4, 27, 36, 21, 6, 33, 8, 18, 4, 7, 24, 3, 28, 25, 13, 47, 13, 47, 18, 3, 15, 7, 28, 30, 10, 10, 19, 48, 13, 4, 36, 37, 37, 25, 33, 48, 25, 15, 0, 10, 10, 25, 18, 30, 25, 27}
5
Returns: "NO"
{0, 1, 1, 2, 2, 1, 0, 4, 5, 7, 7, 7, 8, 10, 9, 5, 10, 13, 18, 5, 18, 19, 2, 17, 0, 4, 24, 10, 9, 8, 26, 20, 2, 12, 2, 27, 34, 26, 6, 3, 20, 3, 16, 16, 37, 1, 5, 29, 27, 37, 10, 10, 42, 24, 21, 0, 4, 18, 22, 20, 6, 3, 22, 34, 3, 39, 42, 38, 0, 21, 36, 12, 39, 7, 24, 8, 29, 2, 12, 38, 5, 12, 5, 1, 19, 17, 48, 6, 24, 13, 12, 24, 48, 12, 12, 36}
3
Returns: "NO"
{0, 0, 1, 3, 3, 4, 0, 1, 6, 8, 8, 11, 11, 2, 6, 13, 5, 5, 5, 6, 12, 6, 10, 0, 14, 24, 4, 12, 5, 1, 25, 26, 1, 3, 10, 22, 32, 35, 5, 12, 19, 4, 19, 2, 26, 11, 20, 4, 22, 33, 41, 31, 23, 32, 1, 13, 19, 33, 50, 26, 34, 2, 6, 63, 2, 35, 10, 14, 31, 44, 14, 0, 50, 3, 45, 74, 23, 27, 12, 25, 22, 63, 44, 34, 64, 64, 13, 26, 45, 41, 74, 26, 2, 44, 24, 22, 14, 45, 20, 27}
4
Returns: "YES"
{0, 1, 1, 1, 0, 5, 6, 6, 8, 0, 10, 11, 5, 13, 12, 8, 15, 15, 7, 5, 8, 21, 8, 3, 15, 24, 7, 15, 10, 12, 2, 13, 29, 29, 18, 5, 14, 1, 29, 26, 14, 13, 10, 23, 20, 10, 6, 25, 37, 10, 15, 8, 48, 23, 1, 25, 10, 5, 53, 8, 59, 5, 20, 17, 29, 35, 48, 37, 59, 11, 53, 2, 12, 20, 25, 18, 2, 12, 3, 21, 3, 24, 24, 16, 16, 1, 10, 16, 24, 10, 17, 35, 35, 26}
8
Returns: "NO"
{0, 0, 0, 2, 2, 4, 4, 6, 8, 3, 2, 10, 2, 1, 5, 2, 8, 12, 0, 9, 10, 3, 9, 5, 14, 6, 15, 12, 8, 29, 10, 26, 19, 8, 2, 20, 34, 5, 22, 22, 36, 30, 6, 20, 14, 39, 23, 30, 6, 37, 22, 50, 33, 26, 6, 15, 5, 9, 33, 2, 11, 1, 37, 23, 64, 23, 1, 17, 64, 40, 17, 36, 8, 34, 63, 41, 20, 50, 6, 41, 40, 45, 15, 40, 19, 26, 11, 26, 39, 29, 1, 45, 63, 34, 4, 2, 63}
3
Returns: "YES"
{0, 0, 2, 3, 4, 4, 1, 7, 3, 6, 5, 2, 3, 11, 0, 12, 16, 3, 3, 18, 16, 15, 14, 12, 1, 13, 6, 4, 28, 16, 1, 30, 4, 30, 21, 2, 18, 13, 9, 13, 20, 11, 28, 24, 24, 15, 3, 4, 3, 2, 47, 26, 9, 42, 7, 5, 12, 19, 3, 21, 6, 30, 46, 14, 9, 5, 5, 11, 0, 26, 5, 6, 1, 4, 18, 22, 1, 16, 59, 20, 2, 42, 2, 30, 59, 20, 22, 24, 5, 46, 4, 19, 47, 14, 4}
3
Returns: "NO"
{0, 0, 0, 3, 2, 2, 2, 1, 2, 4, 3, 5, 8, 11, 10, 14, 7, 1, 5, 13, 14, 16, 2, 4, 11, 17, 19, 7, 14, 20, 27, 6, 23, 25, 5, 12, 35, 15, 20, 24, 0, 8, 26, 3, 2, 28, 23, 25, 17, 10, 12, 24, 21, 37, 30, 8, 7, 24, 6, 28, 8, 20, 27, 13, 47, 5, 34, 27, 35, 42, 59, 54, 35, 11, 16, 42, 30, 0, 28, 15, 19, 59, 2, 14, 26, 47, 34, 60, 23, 54, 12, 25, 24, 21, 12, 37, 60, 16}
4
Returns: "YES"
{0, 1, 0, 3, 0, 0, 1, 3, 5, 9, 10, 7, 11, 6, 14, 2, 7, 17, 18, 12, 13, 4, 11, 19, 4, 8, 24, 15, 5, 17, 17, 9, 17, 18, 17, 1, 9, 9, 22, 29, 2, 35, 20, 25, 35, 6, 17, 3, 17, 13, 9, 8, 25, 28, 18, 20, 7, 36, 22, 22, 29, 15, 28, 30, 29, 10, 4, 14, 19, 34, 19, 14, 16, 37, 12, 30, 64, 36, 28, 2, 24, 34, 15, 16, 13, 8, 2, 65, 9, 37, 65, 34, 64, 16, 6}
9
Returns: "YES"
{0, 0, 1, 0, 4, 5, 3, 0, 6, 8, 6, 6, 6, 0, 10, 5, 7, 10, 16, 2, 6, 11, 0, 14, 8, 6, 20, 15, 11, 8, 30, 13, 17, 24, 24, 4, 5, 16, 37, 14, 30, 15, 19, 5, 7, 20, 4, 41, 6, 17, 30, 12, 5, 7, 54, 9, 32, 41, 39, 23, 10, 15, 19, 37, 15, 1, 3, 20, 39, 54, 10, 40, 2, 23, 7, 4, 40, 9, 47, 0, 13, 6, 11, 18, 18, 15, 12, 47, 15, 32, 39}
6
Returns: "NO"
{0, 1, 0, 3, 0, 2, 5, 4, 7, 7, 1, 0, 10, 0, 1, 14, 15, 16, 9, 16, 14, 10, 21, 0, 7, 11, 9, 7, 21, 25, 4, 27, 20, 33, 16, 22, 17, 5, 33, 17, 29, 18, 33, 39, 25, 13, 1, 8, 29, 3, 11, 1, 7, 38, 43, 46, 43, 1, 33, 18, 22, 35, 17, 5, 13, 15, 0, 46, 24, 42, 2, 20, 60, 42, 24, 55, 13, 2, 4, 37, 38, 39, 55, 35, 8, 13, 21, 17, 53, 2, 55, 46, 1, 27, 37, 53, 60}
6
Returns: "NO"
{0, 0, 0, 3, 0, 1, 0, 3, 7, 6, 0, 2, 10, 11, 0, 15, 6, 10, 8, 18, 7, 17, 4, 21, 4, 15, 19, 14, 4, 19, 9, 15, 3, 9, 27, 5, 12, 37, 34, 11, 6, 29, 17, 31, 31, 36, 34, 15, 26, 37, 42, 37, 15, 32, 11, 33, 2, 47, 42, 18, 8, 29, 27, 25, 2, 1, 17, 8, 19, 33, 36, 25, 7, 5, 69, 40, 40, 21, 14, 2, 36, 3, 26, 19, 64, 2, 32, 29, 2, 15, 4, 47, 26, 14, 64, 12, 27, 40, 69}
9
Returns: "YES"
{0, 1, 2, 0, 4, 3, 4, 6, 8, 4, 9, 10, 11, 9, 3, 14, 10, 6, 8, 6, 6, 17, 1, 12, 2, 3, 15, 24, 4, 22, 7, 21, 1, 17, 32, 20, 6, 34, 16, 1, 12, 1, 41, 5, 4, 16, 25, 4, 39, 1, 50, 25, 1, 30, 17, 30, 15, 7, 8, 37, 53, 4, 20, 13, 13, 21, 14, 15, 11, 13, 2, 15, 43, 20, 53, 50, 34, 15, 6, 39, 6, 8, 18, 37, 3, 5, 41, 18, 22, 13, 21, 6, 32, 3, 24, 43, 32}
7
Returns: "YES"
{0, 0, 0, 1, 4, 5, 0, 6, 4, 7, 5, 1, 8, 10, 2, 0, 15, 1, 1, 8, 4, 1, 20, 3, 15, 0, 2, 2, 25, 4, 18, 18, 23, 2, 11, 13, 32, 7, 10, 3, 27, 18, 23, 0, 13, 2, 16, 12, 5, 27, 12, 18, 18, 20, 25, 24, 6, 53, 3, 16, 19, 33, 11, 27, 1, 5, 23, 32, 2, 18, 60, 21, 21, 22, 27, 53, 10, 15, 21, 5, 14, 11, 1, 60, 33, 14, 19, 20, 22, 24, 5}
6
Returns: "YES"
{0, 0, 1, 1, 2, 4, 2, 6, 2, 1, 4, 7, 9, 11, 5, 2, 3, 3, 18, 12, 13, 17, 20, 18, 4, 6, 5, 17, 3, 13, 11, 14, 17, 15, 22, 16, 24, 14, 16, 14, 7, 13, 15, 9, 30, 32, 5, 9, 30, 20, 4, 31, 33, 23, 2, 11, 21, 24, 24, 35, 11, 23, 10, 23, 24, 31, 14, 12, 1, 25, 1, 16, 5, 32, 35, 2, 12, 30, 12, 31, 33, 15, 18, 6, 10, 25, 14, 1, 21, 9, 7, 1, 22, 2, 14, 6, 18}
7
Returns: "YES"
{0, 0, 0, 2, 1, 3, 4, 6, 8, 5, 5, 4, 12, 10, 7, 8, 7, 10, 11, 3, 17, 7, 6, 17, 8, 25, 0, 8, 16, 19, 17, 5, 11, 2, 7, 28, 19, 31, 13, 25, 18, 27, 30, 7, 13, 9, 31, 3, 1, 2, 6, 18, 33, 44, 44, 7, 27, 11, 32, 33, 30, 28, 16, 32, 3, 28, 9, 11, 12, 2, 7, 30, 10, 10, 26, 11, 33, 4, 26, 0, 9, 5}
4
Returns: "YES"
{0, 1, 1, 0, 1, 5, 6, 4, 0, 9, 4, 9, 4, 10, 4, 9, 12, 8, 8, 16, 16, 5, 11, 12, 3, 20, 14, 11, 4, 29, 7, 19, 7, 10, 2, 13, 20, 31, 4, 19, 31, 9, 6, 5, 13, 6, 10, 9, 10, 21, 14, 8, 8, 4, 7, 12, 17, 25, 29, 10, 15, 3, 18, 6, 11, 4, 20, 15, 12, 4, 16, 18, 14, 5, 2, 16, 15, 17, 25, 1, 10, 4, 21, 1, 19}
8
Returns: "YES"
{0, 0, 2, 1, 3, 0, 3, 3, 6, 9, 3, 11, 3, 3, 8, 10, 9, 3, 12, 7, 11, 7, 4, 15, 17, 4, 14, 26, 10, 26, 14, 3, 11, 17, 3, 8, 34, 22, 33, 26, 20, 20, 7, 27, 11, 20, 10, 3, 15, 6, 16, 13, 14, 49, 10, 4, 7, 54, 2, 2, 12, 23, 7, 57, 1, 14, 6, 67, 16, 57, 49, 27, 13, 26, 22, 29, 6, 27, 67, 14, 23, 26, 13, 52, 29, 1, 33, 52, 11, 83, 34, 15, 21, 16, 83, 14, 21, 54, 17}
5
Returns: "NO"
{0, 0, 1, 3, 1, 5, 4, 0, 6, 1, 0, 9, 4, 2, 10, 8, 11, 11, 14, 5, 6, 18, 20, 10, 8, 21, 17, 23, 8, 25, 4, 19, 23, 4, 16, 0, 34, 3, 9, 21, 20, 17, 2, 14, 10, 42, 35, 35, 4, 46, 24, 19, 18, 39, 32, 36, 21, 46, 19, 11, 21, 11, 10, 24, 6, 35, 25, 17, 39, 6, 32, 21, 1, 42, 31, 18, 14, 35, 31, 2, 2, 11, 74, 28, 14, 36, 0, 2, 28, 16, 18, 74, 34}
5
Returns: "NO"
{0, 1, 1, 1, 4, 1, 3, 0, 8, 9, 1, 4, 3, 3, 7, 7, 13, 15, 8, 16, 18, 16, 12, 22, 21, 19, 18, 10, 11, 5, 16, 16, 10, 11, 23, 5, 24, 8, 26, 19, 27, 32, 25, 8, 26, 40, 24, 39, 24, 44, 44, 9, 18, 38, 32, 10, 19, 38, 38, 27, 45, 21, 21, 1, 19, 5, 12, 43, 23, 25, 19, 38, 18, 26, 13, 8, 6, 10, 22, 40, 43, 15, 38, 8, 18, 15, 11, 6, 26, 12, 45, 39, 9, 32, 44, 21}
9
Returns: "NO"
{0, 1, 1, 0, 1, 5, 4, 4, 2, 9, 7, 11, 1, 2, 7, 11, 14, 13, 4, 16, 19, 2, 10, 5, 24, 1, 8, 16, 18, 13, 26, 21, 26, 22, 25, 29, 9, 21, 14, 5, 21, 10, 8, 32, 22, 5, 29, 23, 3, 46, 10, 26, 25, 23, 19, 52, 38, 29, 23, 15, 1, 15, 8, 11, 15, 19, 19, 23, 65, 17, 16, 52, 27, 44, 10, 26, 3, 12, 14, 18, 38, 52, 46, 17, 16, 24, 27, 8, 16, 25, 44, 32, 46, 65, 17, 12}
9
Returns: "NO"
{0, 1, 0, 0, 4, 0, 4, 2, 0, 9, 3, 5, 3, 8, 7, 1, 13, 10, 4, 14, 6, 20, 11, 15, 18, 18, 24, 18, 14, 16, 14, 5, 19, 11, 6, 35, 21, 18, 33, 24, 11, 31, 33, 33, 22, 13, 15, 9, 19, 16, 30, 18, 33, 32, 37, 1, 38, 35, 10, 25, 20, 38, 55, 13, 8, 19, 31, 7, 9, 3, 54, 54, 7, 30, 30, 32, 21, 1, 53, 20, 53, 4, 6, 22, 9, 38, 20, 2, 14, 37, 19, 25, 11, 8, 55, 18}
12
Returns: "NO"
{0, 0, 1, 0, 3, 0, 2, 0, 3, 4, 6, 9, 5, 10, 2, 5, 9, 6, 18, 10, 13, 2, 21, 8, 15, 7, 18, 0, 24, 8, 21, 4, 25, 18, 20, 13, 2, 9, 31, 35, 9, 0, 1, 25, 40, 31, 24, 20, 30, 28, 25, 16, 27, 48, 46, 42, 21, 17, 8, 16, 24, 48, 17, 28, 14, 15, 42, 22, 46, 7, 22, 40, 58, 58, 27, 66, 18, 66, 48, 27, 35, 52, 11, 6, 35, 5, 13, 1, 1, 52, 42, 11, 30, 14, 6, 25}
4
Returns: "YES"
{0, 1, 1, 2, 3, 1, 6, 7, 0, 5, 1, 6, 9, 4, 1, 15, 3, 12, 11, 16, 2, 10, 21, 4, 17, 9, 9, 14, 18, 5, 22, 19, 11, 4, 6, 24, 13, 25, 13, 10, 9, 38, 11, 10, 19, 42, 18, 21, 21, 1, 34, 7, 34, 20, 10, 5, 55, 42, 15, 15, 16, 38, 0, 11, 24, 25, 14, 8, 8, 6, 24, 42, 17, 7, 4, 8, 13, 6, 6, 30, 61, 8, 12, 17, 17, 30, 61, 12, 22, 55, 2, 6, 20}
4
Returns: "NO"
{0, 1, 0, 2, 4, 2, 4, 1, 1, 3, 9, 10, 12, 4, 6, 3, 9, 8, 11, 9, 10, 14, 19, 1, 8, 14, 10, 12, 0, 14, 29, 16, 2, 13, 16, 24, 27, 11, 29, 2, 8, 20, 10, 20, 38, 29, 14, 29, 34, 29, 38, 23, 12, 22, 26, 11, 16, 4, 13, 16, 22, 35, 27, 8, 35, 20, 1, 1, 5, 31, 26, 20, 24, 11, 12, 0, 16, 23, 75, 24, 2, 11, 9, 5, 13, 26, 11, 10, 34, 31, 23, 31, 38, 75, 6, 19, 4, 31, 24}
5
Returns: "NO"
{0, 0, 0, 3, 0, 1, 3, 2, 2, 7, 1, 9, 6, 5, 7, 12, 13, 2, 15, 9, 13, 21, 19, 15, 21, 3, 22, 5, 28, 13, 8, 20, 23, 6, 17, 17, 8, 19, 16, 9, 7, 19, 36, 11, 33, 23, 8, 21, 14, 3, 40, 20, 38, 22, 47, 9, 15, 56, 28, 4, 33, 5, 12, 36, 38, 11, 56, 40, 53, 45, 28, 16, 6, 33, 4, 56, 11, 7, 53, 14, 1, 49, 49, 47, 45, 17, 4, 3, 8, 8, 8}
9
Returns: "YES"
{0, 1, 1, 3, 4, 1, 5, 7, 3, 8, 0, 3, 4, 2, 14, 11, 9, 15, 0, 4, 5, 1, 18, 4, 8, 5, 2, 21, 14, 15, 23, 1, 9, 18, 14, 25, 7, 23, 22, 6, 36, 7, 36, 25, 8, 32, 11, 8, 34, 46, 50, 50, 12, 0, 43, 50, 38, 22, 14, 23, 50, 3, 43, 35, 23, 16, 8, 1, 13, 8, 23, 35, 22, 2, 32, 1, 13, 46, 50, 2, 33, 26, 12, 33, 6, 21, 2, 9, 34, 16, 38, 26, 14, 8}
3
Returns: "NO"
{0, 0, 0, 2, 0, 3, 0, 4, 4, 1, 0, 10, 4, 7, 14, 5, 0, 7, 16, 5, 1, 1, 19, 17, 10, 15, 3, 24, 22, 3, 19, 11, 20, 9, 14, 28, 24, 25, 35, 3, 4, 17, 9, 5, 11, 22, 7, 32, 35, 13, 15, 11, 2, 16, 22, 13, 42, 7, 21, 5, 58, 8, 32, 23, 58, 25, 22, 21, 15, 13, 33, 19, 20, 7, 21, 42, 8, 4, 63, 8, 8, 1, 17, 9, 63, 28, 23, 7, 33}
12
Returns: "NO"
{0, 0, 2, 2, 4, 3, 3, 2, 6, 6, 2, 7, 11, 8, 14, 1, 10, 11, 18, 1, 1, 16, 5, 21, 17, 2, 21, 5, 11, 10, 14, 24, 9, 27, 29, 15, 30, 12, 26, 29, 9, 21, 17, 1, 31, 25, 13, 4, 35, 41, 2, 39, 16, 17, 10, 19, 5, 25, 8, 30, 27, 3, 15, 34, 39, 1, 34, 16, 13, 24, 6, 45, 18, 26, 29, 19, 7, 19, 12, 41, 1, 31, 41, 32, 32, 2, 78, 4, 4, 45, 38, 1, 38, 78, 35, 6}
7
Returns: "YES"
{0, 0, 0, 0, 0, 3, 3, 2, 1, 9, 1, 11, 4, 5, 4, 8, 2, 4, 6, 6, 12, 19, 7, 18, 10, 5, 16, 12, 8, 10, 18, 3, 8, 14, 7, 9, 6, 3, 10, 3, 17, 14, 19, 8, 1, 19, 12, 11, 22, 22, 40, 19, 24, 25, 18, 5, 41, 30, 7, 6, 22, 4, 44, 24, 5, 6, 53, 5, 53, 7, 5, 25, 17, 41, 8, 25, 16, 31, 9, 19, 19, 30, 28, 28, 6, 1, 31, 31, 21, 7, 44, 41, 21, 40, 41, 17}
12
Returns: "NO"
{0, 1, 0, 0, 4, 0, 0, 7, 5, 1, 0, 11, 4, 5, 10, 8, 13, 3, 9, 17, 1, 12, 13, 23, 8, 17, 17, 15, 13, 23, 28, 25, 10, 24, 8, 25, 23, 28, 20, 1, 14, 2, 21, 2, 2, 32, 9, 25, 36, 20, 0, 40, 32, 42, 28, 14, 1, 25, 11, 40, 24, 19, 15, 17, 4, 0, 7, 3, 36, 28, 38, 11, 15, 19, 20, 36, 3, 26, 9, 8, 26, 15, 32, 48, 16, 3, 21, 38, 13, 48, 12, 7, 42, 15, 3, 17, 16, 12, 19}
17
Returns: "NO"
{0, 1, 0, 1, 3, 2, 2, 6, 5, 6, 5, 11, 2, 13, 10, 6, 10, 0, 14, 4, 0, 11, 15, 7, 3, 23, 17, 12, 2, 26, 4, 25, 23, 5, 6, 29, 26, 8, 18, 34, 12, 29, 6, 42, 18, 3, 8, 15, 41, 12, 25, 51, 42, 16, 48, 52, 7, 16, 41, 51, 1, 13, 14, 24, 7, 0, 27, 54, 54, 37, 3, 6, 48, 48, 42, 17, 24, 2, 27, 12, 79, 65, 18, 14, 25, 79, 8, 0, 52, 37, 34, 1, 65, 13, 2, 5}
3
Returns: "YES"
{0, 1, 1, 1, 1, 0, 3, 3, 8, 9, 8, 10, 9, 1, 4, 2, 1, 12, 8, 2, 7, 2, 8, 22, 5, 15, 3, 12, 10, 26, 18, 18, 7, 17, 13, 17, 27, 7, 21, 10, 27, 22, 34, 12, 15, 2, 23, 12, 6, 1, 13, 9, 6, 34, 13, 19, 4, 4, 2, 19, 15, 61, 31, 23, 21, 8, 48, 3, 26, 10, 27, 28, 17, 3, 31, 28, 26, 67, 67, 18, 11, 6, 11, 5, 12, 60, 48, 61, 6, 60}
20
Returns: "NO"
{0, 0, 2, 1, 1, 0, 1, 6, 1, 5, 8, 7, 3, 11, 4, 6, 4, 6, 16, 4, 1, 8, 11, 3, 16, 17, 2, 17, 21, 25, 2, 1, 20, 8, 21, 22, 0, 4, 23, 33, 30, 8, 25, 16, 6, 12, 12, 11, 19, 7, 37, 27, 41, 6, 26, 0, 29, 45, 3, 17, 0, 22, 27, 33, 35, 30, 39, 45, 29, 20, 30, 20, 26, 10, 17, 39, 25, 20, 5, 22, 10, 37, 6, 23, 4, 22, 35, 1, 58, 19, 6, 41, 4, 17, 58}
4
Returns: "YES"
{0, 1, 1, 2, 3, 5, 1, 1, 7, 2, 0, 3, 5, 1, 13, 7, 14, 9, 4, 15, 11, 2, 11, 7, 19, 18, 26, 21, 25, 27, 10, 23, 23, 9, 12, 34, 1, 36, 0, 24, 30, 7, 25, 33, 20, 14, 15, 33, 27, 30, 40, 44, 1, 53, 5, 11, 52, 27, 28, 52, 13, 7, 12, 24, 5, 28, 26, 1, 10, 4, 12, 7, 5, 20, 28, 2, 0, 8, 15, 19, 32, 10, 18, 32, 36, 28, 4, 0, 44, 21, 40, 53, 30, 12, 0, 8, 2, 2, 34}
5
Returns: "NO"
{0, 1, 1, 3, 2, 2, 0, 3, 4, 5, 9, 7, 10, 0, 9, 7, 8, 5, 11, 10, 4, 10, 17, 3, 11, 3, 4, 20, 8, 9, 16, 15, 23, 7, 23, 11, 27, 10, 10, 20, 8, 20, 11, 7, 3, 17, 31, 29, 10, 48, 8, 17, 19, 48, 17, 27, 15, 25, 51, 16, 43, 25, 51, 0, 51, 3, 15, 19, 19, 23, 25, 13, 15, 16, 67, 9, 29, 13, 17, 31, 15, 4, 67, 52, 77, 11, 29, 25, 52, 29, 77, 7, 43, 20, 0, 5, 3}
3
Returns: "YES"
{0, 0, 0, 1, 0, 1, 3, 3, 4, 6, 7, 1, 7, 5, 3, 15, 15, 6, 3, 18, 17, 10, 22, 12, 11, 0, 1, 0, 2, 13, 12, 9, 2, 21, 1, 25, 26, 5, 26, 27, 7, 27, 12, 31, 10, 22, 25, 40, 19, 21, 29, 37, 22, 28, 17, 9, 19, 40, 15, 14, 7, 34, 25, 0, 63, 9, 31, 33, 46, 1, 4, 29, 63, 57, 3, 13, 16, 11, 8, 2, 18, 26, 34, 14, 13, 28, 37, 10, 2, 46, 37, 33, 16, 0, 6, 57, 0, 8}
25
Returns: "NO"
{0, 1, 1, 0, 4, 1, 3, 5, 4, 7, 4, 10, 1, 3, 4, 6, 5, 8, 6, 4, 8, 11, 0, 7, 13, 18, 14, 10, 18, 0, 11, 7, 8, 17, 23, 31, 34, 13, 17, 38, 14, 22, 7, 28, 27, 23, 9, 12, 27, 43, 49, 3, 5, 13, 4, 9, 38, 8, 36, 34, 0, 36, 3, 1, 46, 18, 1, 46, 43, 3, 12, 0, 4, 45, 11, 28, 13, 45, 31, 19, 36, 46, 3, 4, 60, 20, 22, 49, 48, 0, 48, 38, 20, 36, 19, 35, 60, 27, 35}
7
Returns: "YES"
{0, 1, 2, 0, 0, 3, 2, 0, 3, 7, 1, 1, 1, 0, 8, 12, 1, 13, 16, 1, 1, 5, 6, 17, 10, 21, 22, 8, 10, 10, 7, 29, 4, 29, 16, 7, 33, 24, 6, 30, 11, 23, 2, 8, 9, 4, 37, 23, 37, 7, 11, 12, 27, 44, 14, 9, 27, 1, 12, 34, 14, 30, 38, 30, 4, 13, 30, 44, 21, 6, 20, 20, 20, 25, 22, 24, 19, 6, 17, 16, 14, 33, 19, 13, 27, 5, 4, 25, 38, 33, 7, 0, 27, 34, 17}
6
Returns: "YES"
{0, 0, 2, 2, 0, 1, 3, 1, 4, 5, 3, 7, 1, 1, 11, 14, 8, 2, 9, 14, 18, 18, 12, 23, 22, 14, 19, 25, 25, 6, 6, 24, 20, 30, 16, 14, 33, 16, 31, 22, 38, 18, 30, 18, 33, 34, 5, 3, 41, 40, 12, 11, 3, 24, 11, 13, 38, 19, 4, 8, 2, 1, 45, 40, 34, 45, 11, 41, 25, 37, 32, 19, 20, 21, 32, 26, 37, 62, 7, 9, 31, 38, 31, 1, 23, 21, 1, 30, 56, 26, 24, 20, 18, 13, 25, 62, 56, 25, 37}
6
Returns: "YES"
{0, 1, 2, 0, 3, 3, 4, 1, 1, 5, 10, 7, 3, 2, 1, 11, 3, 11, 13, 18, 2, 8, 16, 6, 21, 11, 22, 15, 9, 9, 5, 6, 6, 8, 7, 4, 36, 23, 13, 15, 12, 24, 21, 1, 21, 0, 20, 23, 16, 23, 12, 14, 14, 4, 41, 5, 7, 9, 10, 24, 15, 2, 8, 0, 4, 18, 34, 7, 3, 22, 15, 41, 5, 18, 34, 3, 18, 68, 20, 13, 69, 11, 9, 68, 2, 62, 9, 69, 16, 18, 62, 25, 25, 0, 36, 40, 3, 40}
15
Returns: "NO"
{0, 0, 2, 1, 0, 3, 4, 5, 8, 6, 8, 3, 5, 10, 7, 15, 8, 1, 0, 4, 14, 20, 18, 18, 23, 6, 21, 15, 2, 11, 2, 22, 6, 20, 23, 35, 34, 17, 12, 22, 27, 35, 6, 18, 18, 12, 15, 14, 31, 3, 30, 17, 18, 36, 14, 10, 27, 55, 30, 55, 25, 31, 1, 14, 30, 63, 11, 13, 9, 36, 26, 25, 26, 16, 34, 10, 13, 21, 11, 18, 5, 63, 42, 7, 42, 2, 31, 16, 18, 9, 35, 20, 26, 15, 14}
11
Returns: "NO"
{0, 1, 2, 2, 3, 1, 2, 1, 7, 3, 0, 8, 10, 6, 7, 10, 7, 12, 7, 15, 7, 0, 20, 17, 8, 5, 2, 25, 15, 8, 24, 27, 14, 5, 6, 15, 9, 24, 25, 28, 10, 11, 11, 42, 30, 17, 0, 20, 14, 8, 10, 5, 7, 38, 10, 3, 26, 17, 20, 42, 9, 0, 9, 30, 26, 2, 51, 58, 60, 27, 19, 0, 11, 43, 27, 26, 43, 10, 50, 50, 30, 24, 74, 74, 12, 0, 19, 15, 45, 58, 51, 28, 38, 60, 45}
18
Returns: "NO"
{0, 0, 2, 3, 4, 0, 0, 6, 8, 5, 1, 11, 9, 0, 0, 8, 16, 3, 12, 18, 6, 11, 11, 19, 12, 6, 22, 20, 12, 29, 25, 26, 17, 19, 20, 7, 11, 11, 19, 5, 2, 14, 25, 6, 20, 18, 16, 6, 2, 1, 33, 6, 35, 35, 38, 38, 6, 7, 45, 6, 37, 3, 37, 26, 17, 27, 9, 20, 33, 4, 14, 5, 36, 5, 45, 7, 45, 4, 5, 29, 5, 27, 6, 4, 36, 20, 0, 22, 8, 19, 9}
10
Returns: "NO"
{0, 1, 1, 0, 2, 5, 5, 3, 0, 5, 4, 10, 3, 3, 8, 9, 4, 6, 10, 11, 13, 21, 0, 10, 20, 24, 1, 16, 6, 3, 21, 24, 16, 13, 19, 12, 4, 29, 12, 37, 12, 26, 7, 20, 32, 31, 32, 29, 26, 48, 3, 9, 11, 50, 29, 5, 20, 33, 4, 57, 17, 16, 32, 57, 32, 29, 36, 2, 33, 42, 48, 27, 7, 50, 23, 36, 31, 27, 36, 37, 10, 9, 17, 13, 6, 42, 23, 52, 19, 52, 67, 12, 1, 8, 67, 8, 52}
13
Returns: "NO"
{0, 1, 1, 0, 0, 0, 4, 4, 3, 6, 5, 11, 1, 2, 11, 13, 1, 3, 13, 19, 20, 4, 13, 10, 14, 7, 20, 8, 4, 29, 25, 19, 10, 8, 2, 32, 3, 29, 31, 35, 40, 0, 24, 35, 12, 3, 44, 7, 3, 24, 25, 19, 11, 18, 18, 15, 12, 40, 5, 3, 8, 14, 30, 44, 4, 10, 32, 31, 20, 6, 23, 0, 3, 30, 23, 3, 11, 25, 31, 14, 8, 15}
4
Returns: "YES"
{0, 1, 0, 0, 0, 0, 2, 3, 2, 2, 5, 7, 7, 7, 4, 5, 12, 5, 1, 0, 1, 6, 22, 21, 21, 3, 14, 24, 15, 9, 19, 24, 13, 26, 27, 30, 12, 32, 29, 39, 31, 5, 31, 37, 22, 26, 26, 38, 6, 30, 9, 3, 8, 37, 52, 14, 8, 20, 34, 21, 55, 1, 31, 3, 38, 22, 20, 2, 39, 31, 55, 12, 8, 34, 1, 24, 6, 24, 27, 19, 24, 29, 38, 52, 22, 26, 13, 21, 21, 27, 4, 15, 19, 2, 32, 27}
21
Returns: "NO"
{0, 1, 0, 2, 2, 5, 4, 3, 8, 2, 9, 11, 4, 11, 8, 3, 7, 4, 3, 7, 2, 13, 14, 14, 18, 22, 20, 0, 20, 0, 19, 2, 1, 22, 25, 30, 20, 15, 14, 25, 25, 1, 32, 36, 30, 11, 5, 24, 29, 44, 3, 13, 9, 0, 4, 26, 32, 18, 36, 25, 21, 30, 18, 20, 12, 30, 3, 21, 29, 44, 0, 0, 41, 38, 15, 25, 41, 12, 26, 2, 21, 11, 5, 21, 32, 41, 24, 20, 25, 32, 15, 19, 13, 38, 20}
4
Returns: "YES"
{0, 1, 1, 0, 2, 1, 2, 1, 7, 6, 5, 3, 8, 6, 13, 15, 10, 4, 14, 14, 13, 15, 0, 12, 1, 15, 22, 27, 17, 1, 29, 9, 9, 5, 1, 12, 18, 4, 29, 3, 10, 7, 0, 7, 12, 44, 35, 40, 0, 26, 36, 9, 40, 50, 7, 17, 30, 44, 9, 1, 41, 8, 35, 1, 5, 6, 5, 11, 36, 38, 26, 18, 21, 40, 20, 26, 1, 7, 0, 0, 7, 16, 20, 27, 40, 11, 41, 15, 16, 37, 17, 50, 37, 21, 38, 9, 30, 22, 36, 0}
7
Returns: "NO"
{0, 1, 2, 3, 1, 4, 0, 5, 5, 6, 10, 0, 6, 3, 10, 15, 16, 6, 18, 14, 3, 3, 7, 4, 10, 14, 3, 10, 12, 16, 15, 29, 23, 13, 10, 25, 24, 7, 24, 18, 37, 3, 17, 6, 30, 4, 42, 36, 21, 11, 39, 20, 23, 43, 37, 21, 52, 15, 21, 34, 43, 15, 15, 30, 24, 42, 13, 2, 7, 39, 13, 12, 48, 20, 0, 3, 7, 13, 29, 21, 48, 11, 53, 13, 53, 29, 10, 4, 23, 17, 52, 36, 1, 34, 37, 30, 52, 12, 25}
13
Returns: "NO"
{0, 1, 2, 0, 2, 0, 1, 1, 4, 4, 2, 5, 10, 8, 14, 2, 4, 5, 12, 17, 7, 15, 17, 12, 10, 11, 10, 5, 28, 29, 0, 12, 12, 8, 16, 20, 13, 15, 23, 11, 35, 19, 28, 13, 37, 40, 36, 5, 33, 48, 48, 12, 18, 26, 37, 3, 4, 19, 35, 14, 10, 35, 7, 23, 17, 12, 40, 3, 1, 16, 2, 37, 11, 11, 13, 26, 1, 42, 36, 42, 10, 18, 7, 42, 33, 29, 20, 15, 34, 34, 29}
3
Returns: "YES"
{0, 0, 1, 1, 3, 0, 0, 2, 8, 4, 4, 4, 8, 4, 9, 15, 4, 7, 16, 4, 0, 1, 10, 17, 3, 8, 20, 19, 17, 24, 9, 28, 10, 11, 17, 16, 25, 4, 2, 8, 35, 20, 3, 28, 10, 29, 10, 23, 43, 14, 15, 10, 45, 20, 39, 30, 6, 9, 4, 7, 8, 9, 15, 28, 8, 24, 2, 4, 11, 25, 35, 30, 23, 26, 51, 39, 26, 51, 72, 19, 6, 4, 9, 5, 3, 6, 32, 61, 43, 45, 61, 24, 14, 16, 29, 32, 5, 72}
13
Returns: "NO"
{0, 0, 2, 3, 4, 2, 0, 0, 6, 6, 5, 5, 9, 13, 6, 14, 14, 13, 14, 6, 18, 3, 2, 4, 0, 10, 10, 16, 16, 0, 25, 17, 29, 12, 2, 13, 11, 12, 21, 0, 4, 14, 10, 9, 3, 15, 16, 11, 8, 2, 12, 10, 37, 25, 4, 0, 18, 44, 44, 0, 29, 12, 5, 12, 6, 2, 21, 8, 13, 13, 21, 37, 37, 15, 13, 4, 3, 14, 17, 25, 15, 2, 10}
3
Returns: "YES"
{0, 0, 1, 0, 0, 0, 4, 0, 6, 9, 3, 4, 10, 12, 10, 10, 7, 14, 1, 8, 13, 9, 16, 0, 2, 5, 26, 3, 15, 2, 20, 8, 4, 33, 25, 7, 5, 32, 1, 6, 38, 3, 12, 11, 26, 18, 1, 14, 38, 4, 12, 34, 1, 2, 9, 3, 23, 16, 51, 6, 13, 16, 54, 32, 35, 13, 34, 23, 50, 33, 20, 11, 47, 28, 47, 0, 10, 23, 18, 0, 50, 11, 54, 30, 25, 28, 15, 1, 35, 2, 12, 7, 15, 51, 30, 45, 7, 28, 45}
12
Returns: "NO"
{0, 1, 2, 1, 4, 0, 3, 2, 3, 6, 4, 3, 8, 6, 12, 3, 15, 17, 2, 18, 14, 21, 18, 22, 15, 10, 24, 17, 13, 23, 3, 21, 23, 13, 10, 14, 34, 7, 33, 31, 9, 4, 10, 7, 14, 34, 21, 12, 3, 35, 2, 18, 20, 26, 20, 14, 26, 4, 24, 13, 48, 17, 8, 52, 45, 60, 54, 45, 19, 35, 4, 48, 31, 27, 9, 34, 54, 21, 4, 34, 3, 22, 34, 33, 21, 33, 52, 27, 19, 1, 20, 60, 20, 19}
4
Returns: "YES"
{0, 0, 0, 0, 0, 5, 6, 2, 1, 6, 8, 10, 5, 13, 5, 9, 1, 14, 17, 4, 20, 12, 10, 3, 15, 12, 7, 20, 24, 19, 29, 0, 12, 2, 7, 23, 36, 16, 11, 27, 20, 32, 1, 12, 1, 22, 20, 19, 22, 44, 14, 6, 6, 44, 24, 36, 55, 55, 23, 54, 27, 9, 4, 34, 17, 54, 15, 16, 43, 42, 36, 6, 44, 3, 32, 0, 71, 29, 3, 23, 34, 8, 11, 5, 0, 13, 1, 42, 0, 27, 71, 42, 10, 43, 16, 2, 27}
25
Returns: "NO"
{0, 0, 0, 0, 3, 4, 0, 5, 6, 1, 1, 6, 0, 13, 1, 15, 2, 16, 18, 0, 3, 15, 1, 11, 23, 8, 5, 17, 28, 18, 18, 0, 13, 6, 20, 10, 24, 32, 29, 19, 37, 10, 21, 25, 29, 8, 24, 9, 45, 13, 3, 4, 9, 38, 43, 19, 42, 38, 6, 39, 45, 42, 39, 17, 0, 16, 28, 8, 6, 63, 24, 61, 13, 25, 21, 24, 37, 25, 19, 64, 11, 10, 19, 20, 23, 2, 42, 63, 64, 43, 42, 64, 39, 38, 13, 32, 5, 61}
11
Returns: "NO"
{0, 1, 0, 1, 3, 2, 1, 0, 4, 0, 0, 8, 3, 10, 10, 6, 7, 16, 11, 12, 19, 4, 19, 20, 18, 19, 5, 0, 7, 9, 2, 6, 13, 12, 14, 4, 4, 16, 22, 24, 20, 41, 11, 21, 24, 5, 43, 7, 37, 1, 2, 36, 25, 17, 16, 15, 32, 39, 0, 1, 21, 15, 21, 10, 40, 16, 37, 31, 36, 18, 24, 22, 32, 8, 17, 31, 3, 41, 13, 25, 5, 39, 43, 16, 6, 28, 46, 46, 14, 9, 25, 12, 10, 40, 28}
7
Returns: "YES"
{0, 1, 2, 2, 3, 3, 3, 2, 2, 5, 4, 4, 11, 7, 11, 5, 16, 7, 18, 17, 7, 11, 7, 3, 10, 21, 21, 0, 14, 23, 11, 17, 16, 18, 23, 30, 22, 20, 25, 27, 32, 23, 10, 31, 36, 13, 17, 38, 20, 31, 15, 30, 11, 27, 38, 2, 14, 17, 0, 36, 19, 56, 16, 9, 11, 32, 9, 24, 2, 22, 10, 31, 4, 30, 14, 21, 48, 19, 56, 25, 14, 7, 13, 24, 1, 48, 15, 31, 7, 27, 48}
15
Returns: "NO"
{0, 0, 1, 1, 0, 3, 5, 4, 1, 5, 9, 8, 8, 0, 8, 10, 16, 9, 12, 3, 9, 20, 3, 13, 0, 12, 4, 22, 7, 16, 10, 7, 28, 24, 0, 11, 26, 16, 7, 30, 20, 24, 11, 4, 0, 30, 8, 15, 1, 4, 35, 35, 24, 22, 28, 26, 9, 1, 20, 20, 10, 57, 39, 1, 47, 15, 57, 65, 2, 62, 62, 13, 12, 15, 7, 6, 26, 22, 14, 6, 2, 39, 37, 3, 47, 4, 37, 65, 14, 22}
2
Returns: "YES"
{0, 1, 0, 3, 3, 2, 5, 6, 3, 0, 4, 8, 11, 0, 1, 15, 1, 2, 10, 14, 17, 10, 5, 13, 4, 1, 12, 14, 7, 8, 25, 6, 4, 19, 5, 32, 33, 20, 13, 2, 37, 10, 29, 37, 11, 5, 12, 21, 42, 19, 0, 3, 18, 20, 7, 14, 4, 38, 39, 38, 19, 11, 25, 5, 32, 36, 29, 43, 17, 39, 41, 11, 1, 1, 64, 18, 21, 2, 41, 8, 36, 39, 43, 44, 44, 14, 64, 15, 33, 42, 39, 2, 13}
4
Returns: "YES"
{0, 0, 1, 1, 0, 2, 5, 6, 7, 4, 8, 1, 8, 11, 11, 11, 10, 8, 1, 11, 3, 13, 7, 18, 10, 10, 10, 8, 5, 14, 0, 4, 0, 9, 4, 31, 4, 25, 26, 14, 17, 31, 6, 9, 18, 30, 5, 40, 7, 40, 3, 41, 38, 38, 17, 50, 11, 35, 20, 59, 9, 25, 30, 1, 9, 2, 1, 3, 18, 20, 31, 8, 26, 41, 18, 4, 43, 13, 59, 2, 40, 9, 24, 24, 0, 13, 35, 3, 43, 50}
4
Returns: "YES"
{0, 1, 1, 2, 4, 2, 5, 1, 7, 1, 9, 6, 12, 4, 14, 1, 8, 17, 1, 13, 9, 0, 1, 10, 6, 23, 24, 4, 14, 3, 6, 17, 11, 33, 2, 8, 15, 21, 33, 36, 34, 23, 26, 31, 12, 19, 20, 30, 26, 3, 4, 2, 7, 33, 24, 0, 25, 29, 11, 30, 25, 34, 30, 49, 57, 31, 16, 13, 65, 21, 65, 27, 2, 16, 21, 57, 10, 29, 3, 8, 14, 20, 49, 36, 46, 5, 17, 27, 19, 11, 15, 6, 46, 11, 0, 13, 20, 1}
20
Returns: "NO"
{0, 0, 2, 2, 0, 3, 1, 4, 2, 2, 5, 9, 6, 12, 0, 5, 2, 4, 10, 14, 5, 17, 13, 10, 11, 11, 11, 3, 7, 12, 22, 21, 28, 4, 16, 7, 29, 13, 25, 9, 26, 21, 4, 25, 7, 0, 43, 20, 15, 16, 1, 38, 34, 0, 15, 32, 8, 29, 0, 22, 7, 16, 10, 6, 20, 45, 26, 34, 39, 22, 32, 20, 45, 48, 17, 39, 46, 13, 8, 2, 48, 38, 3, 31, 45, 31, 46, 58, 2, 6, 58, 31, 43, 3, 14, 9, 28}
3
Returns: "YES"
{0, 1, 2, 0, 0, 4, 0, 7, 3, 5, 3, 1, 3, 12, 12, 0, 16, 6, 2, 7, 3, 6, 10, 9, 17, 2, 18, 15, 5, 16, 6, 3, 19, 13, 33, 8, 6, 10, 33, 34, 9, 0, 20, 20, 23, 42, 22, 40, 46, 10, 6, 38, 35, 42, 13, 11, 11, 17, 24, 10, 47, 37, 43, 21, 35, 19, 8, 57, 34, 38, 30, 46, 27, 22, 33, 23, 24, 15, 18, 21, 57, 17, 34, 11, 47, 43, 27, 0, 18, 35, 20, 4, 37, 10, 40, 30}
24
Returns: "NO"
{0, 0, 0, 3, 2, 1, 5, 0, 7, 6, 2, 1, 3, 7, 11, 7, 13, 4, 8, 7, 16, 16, 14, 13, 3, 6, 9, 15, 25, 23, 8, 14, 27, 12, 22, 4, 1, 27, 38, 16, 5, 0, 26, 23, 11, 16, 21, 36, 14, 25, 12, 29, 15, 12, 9, 29, 18, 16, 8, 5, 27, 7, 16, 54, 30, 23, 22, 9, 21, 1, 2, 30, 54, 38, 66, 38, 2, 32, 36, 1, 36, 23, 32, 18, 11, 21, 26, 31, 16, 8, 31, 66, 18, 12}
5
Returns: "YES"
{0, 1, 1, 0, 0, 1, 4, 6, 3, 7, 10, 3, 3, 0, 12, 13, 12, 5, 17, 0, 11, 17, 9, 21, 8, 7, 18, 8, 11, 6, 3, 13, 0, 26, 33, 13, 21, 2, 11, 17, 32, 25, 4, 12, 14, 45, 15, 16, 7, 5, 4, 11, 45, 19, 4, 54, 10, 19, 18, 33, 14, 2, 1, 36, 8, 25, 1, 42, 0, 36, 8, 5, 16, 1, 54, 32, 42, 9, 28, 28, 15, 25, 2, 16, 21, 11, 54, 26}
3
Returns: "YES"
{0, 1, 1, 2, 1, 2, 5, 1, 6, 5, 0, 5, 4, 10, 1, 9, 0, 0, 17, 12, 4, 8, 8, 19, 12, 7, 23, 14, 8, 25, 27, 16, 15, 20, 5, 17, 0, 14, 16, 33, 23, 32, 33, 15, 28, 5, 9, 24, 8, 20, 4, 5, 43, 24, 22, 25, 3, 28, 24, 35, 8, 12, 35, 51, 30, 10, 3, 51, 39, 21, 5, 27, 21, 19, 39, 43, 16, 6, 8, 22, 30, 3, 1, 1, 32, 4, 0, 7, 24}
16
Returns: "NO"
{0, 1, 2, 2, 3, 2, 6, 5, 8, 8, 8, 4, 5, 12, 10, 3, 10, 14, 12, 0, 17, 4, 3, 11, 19, 16, 19, 2, 21, 2, 10, 19, 22, 3, 15, 25, 3, 33, 8, 38, 26, 38, 1, 2, 16, 7, 39, 20, 33, 28, 44, 21, 39, 32, 0, 1, 38, 6, 3, 45, 7, 28, 17, 45, 27, 39, 39, 11, 62, 27, 20, 26, 10, 22, 32, 62, 15, 44, 22, 32, 17, 6, 0, 4, 0, 5, 25, 15, 1, 7, 25, 10, 14, 17}
24
Returns: "NO"
{0, 0, 2, 0, 1, 4, 4, 7, 7, 7, 0, 6, 2, 11, 11, 8, 14, 8, 2, 10, 5, 20, 17, 5, 8, 7, 24, 6, 26, 2, 7, 0, 14, 0, 30, 24, 13, 29, 13, 3, 28, 26, 5, 37, 14, 32, 1, 32, 47, 30, 10, 18, 26, 52, 13, 16, 36, 19, 3, 23, 29, 28, 18, 60, 1, 2, 26, 5, 16, 1, 8, 14, 13, 60, 20, 11, 52, 37, 48, 17, 10, 6, 19, 56, 15, 32, 48, 70, 4, 47, 15, 1, 70, 36, 56, 23}
5
Returns: "NO"
{0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 10, 1, 0, 2, 10, 0, 9, 0, 0, 4, 0, 1, 21, 1, 0, 4, 13, 14, 28, 15, 30, 9, 0, 14, 30, 30, 0, 0, 37, 37, 28, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 15, 0, 0, 0, 0, 3, 0, 0, 0, 54, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 21, 34, 0, 0, 7, 0, 0, 0, 0, 0, 13, 0, 34, 0, 0, 54, 7, 0, 0, 9, 0, 0, 0}
20
Returns: "YES"
{0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 11, 8, 2, 0, 0, 11, 0, 0, 0, 8, 0, 9, 17, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0, 0, 25, 0, 9, 33, 21, 0, 0, 0, 3, 0, 0, 0, 33, 0, 0, 0, 0, 0, 0, 1, 0, 17, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 25, 0, 9, 0, 30, 0, 0, 0, 0, 15, 0, 0, 21, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 0}
22
Returns: "NO"
{0, 1, 0, 0, 0, 3, 1, 6, 2, 0, 3, 0, 0, 0, 6, 0, 9, 0, 0, 9, 0, 1, 17, 20, 0, 0, 20, 0, 0, 0, 9, 0, 0, 25, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 25, 9, 0, 17, 0, 2, 0, 0, 7, 0, 0, 7, 0, 1, 17, 0, 0, 0}
4
Returns: "YES"
{0, 0, 0, 0, 1, 0, 1, 0, 8, 0, 4, 1, 10, 1, 12, 11, 0, 0, 0, 12, 0, 0, 0, 12, 0, 11, 0, 0, 25, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 25, 0, 0, 0, 0, 35, 0, 0, 0, 0, 0, 0, 0, 0, 0, 35, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 76, 0, 0, 0, 0, 0, 0, 0, 0, 76, 0, 0}
26
Returns: "YES"
{0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 5, 0, 1, 0, 10, 0, 0, 2, 0, 0, 0, 0, 7, 0, 9, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 7, 0, 0, 0, 19, 0, 2, 0, 1, 31, 0, 10, 19, 0, 0, 0, 5, 36, 31, 19, 0, 0, 0, 6, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0}
11
Returns: "NO"
{0, 1, 1, 0, 3, 1, 1, 0, 0, 0, 7, 4, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 1, 0, 19, 1, 0, 0, 0, 0, 0, 0, 2, 9, 0, 0, 0, 9, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 40, 0, 9, 0, 0, 4, 0, 5, 19, 0, 0, 0, 5, 0, 0, 0, 2, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0}
5
Returns: "YES"
{0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 12, 0, 0, 15, 0, 0, 0, 0, 0, 0, 15, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 12, 0, 0, 0, 0, 0, 22, 0, 0, 0, 48, 4, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0}
3
Returns: "NO"
{0, 0, 0, 0, 0, 2, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 12, 14, 0, 0, 0, 14, 0, 0, 0, 8, 0, 0, 29, 3, 0, 6, 0, 23, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 12, 0, 0, 0, 0, 0, 23, 0, 0, 0, 6, 0, 0, 14, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 29, 0, 0, 0, 0, 0, 0, 0, 0, 12}
9
Returns: "YES"
{0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 10, 0, 14, 3, 21, 0, 20, 16, 0, 5, 18, 0, 0, 27, 0, 9, 0, 0, 0, 38, 0, 0, 5, 0, 0, 0, 38, 0, 0, 0, 20, 0, 0, 0, 0, 0, 18, 14, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 12, 0, 0, 0, 9, 38, 0, 10, 0, 0, 0, 0, 0, 27, 0, 16, 21, 0, 12, 0, 0, 20, 0, 18, 0, 0, 6, 0, 76, 76, 38, 0, 21}
11
Returns: "YES"
{0, 0, 2, 0, 0, 0, 5, 0, 0, 0, 10, 0, 0, 0, 5, 10, 0, 0, 0, 12, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 12, 0, 3, 3, 27, 0, 15, 15, 0, 0, 0, 0, 0, 4, 7, 9, 10, 15, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 53, 7, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 4, 1, 0, 0, 3, 53, 0, 0, 7, 0, 2, 18, 0, 0, 9, 0, 27, 7, 4, 0, 0, 0}
5
Returns: "NO"
{0, 1, 0, 0, 0, 0, 1, 0, 0, 7, 2, 0, 7, 0, 14, 9, 0, 15, 11, 0, 0, 0, 0, 0, 0, 0, 0, 14, 2, 0, 0, 0, 0, 2, 1, 0, 15, 0, 0, 0, 0, 0, 0, 1, 8, 18, 0, 13, 17, 0, 21, 21, 0, 7, 8, 0, 0, 0, 9, 0, 0, 7, 0, 0, 0, 0, 0, 11, 0, 0, 0, 0, 13, 0, 18, 0, 0, 0, 0, 17, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14}
4
Returns: "YES"
{0, 0, 0, 2, 1, 0, 5, 7, 0, 0, 7, 8, 9, 0, 0, 5, 0, 0, 16, 12, 0, 11, 0, 0, 0, 0, 0, 16, 0, 0, 0, 6, 6, 0, 0, 1, 2, 0, 0, 0, 23, 0, 0, 8, 0, 16, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 12, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 0, 1, 0, 11, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 8, 23, 7}
6
Returns: "NO"
{0, 0, 2, 3, 0, 0, 0, 0, 0, 0, 9, 8, 0, 6, 0, 12, 0, 12, 0, 0, 0, 0, 0, 3, 9, 0, 0, 2, 2, 0, 0, 20, 0, 3, 0, 10, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 10, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}
20
Returns: "NO"
{0, 0, 0, 0, 3, 4, 3, 5, 0, 8, 0, 6, 0, 5, 4, 0, 7, 8, 0, 0, 0, 0, 0, 11, 0, 6, 2, 0, 0, 29, 0, 31, 0, 0, 0, 0, 7, 0, 18, 0, 0, 0, 29, 0, 0, 0, 0, 0, 7, 0, 0, 11, 35, 9, 0, 15, 0, 7, 0, 44, 0, 0, 0, 0, 2, 9, 0, 10, 0, 0, 0, 35, 0, 0, 47, 0, 0, 0, 31, 0, 0, 44, 4, 47, 10, 15, 0, 0, 0, 0, 3, 0, 0, 0, 0, 18, 0, 0}
25
Returns: "NO"
{0, 0, 0, 1, 4, 0, 0, 0, 4, 0, 0, 7, 0, 0, 12, 13, 12, 0, 12, 0, 0, 7, 0, 0, 4, 0, 1, 0, 0, 0, 0, 2, 0, 17, 0, 27, 0, 2, 0, 0, 23, 0, 0, 0, 0, 43, 0, 32, 0, 13, 0, 6, 0, 0, 0, 54, 0, 32, 17, 0, 0, 54, 0, 0, 0, 0, 27, 0, 0, 0, 6, 0, 0, 27, 0, 0, 30, 0, 0, 0, 0, 0, 43, 0, 0, 0, 23, 0, 30, 0, 0, 0, 75, 0, 0, 75, 0, 0, 0, 0}
8
Returns: "NO"
{0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 9, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 6, 6, 0, 0, 0, 8, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 39, 0, 0, 39, 0, 9, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0}
6
Returns: "NO"
{0, 0, 0, 0, 2, 0, 5, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 28, 1, 14, 1, 0, 28, 14, 19, 0, 0, 28, 0, 0, 0, 12, 0, 28, 0, 0, 0, 32, 33, 3, 32, 0, 0, 0, 25, 0, 0, 0, 0, 33, 0, 12, 25, 28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 47, 33, 3, 0, 0, 0, 47, 19, 0, 0, 0, 0, 0, 0}
4
Returns: "NO"
{0, 0, 0, 2, 0, 0, 1, 6, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 16, 2, 0, 0, 0, 0, 0, 0, 0, 0, 16, 1, 0, 0, 2, 0, 0, 0, 0, 0, 5, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 21, 0, 0, 0, 0, 0, 54, 0, 0, 54, 5, 0, 21, 0, 0, 7, 30, 0, 0, 0, 6, 0, 30, 21, 0, 0, 0, 0, 0, 0, 10, 0, 0, 6, 29, 0, 0, 0, 0, 0, 0, 0, 29, 0, 0, 7, 0, 0, 21}
9
Returns: "YES"
{0, 1, 0, 0, 0, 0, 3, 0, 6, 1, 2, 1, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 15, 8, 12, 0, 0, 0, 0, 8, 29, 2, 20, 0, 0, 0, 0, 0, 0, 4, 29, 0, 6, 16, 1, 10, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 1, 0, 0, 10, 15, 0, 0, 16, 0, 0, 4, 6, 0, 50, 0, 0, 0, 0, 3, 0, 12, 15, 0, 0, 0, 20, 50, 0, 0, 0, 0, 0, 60, 0, 60, 0}
5
Returns: "YES"
{0, 0, 2, 2, 1, 3, 0, 0, 0, 3, 0, 0, 1, 0, 4, 0, 8, 15, 13, 0, 0, 0, 0, 0, 13, 8, 7, 0, 0, 0, 0, 0, 0, 0, 11, 10, 10, 9, 36, 0, 9, 0, 4, 0, 7, 0, 0, 0, 18, 0, 0, 0, 0, 0, 15, 0, 36, 0, 0, 0, 0, 0, 0, 0, 10, 0, 10, 0, 0, 0, 0, 2, 0, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 9, 0, 11, 0, 0, 0, 0, 0, 0, 0, 0, 15}
25
Returns: "NO"
{0, 0, 2, 0, 0, 4, 5, 0, 2, 0, 0, 0, 0, 0, 4, 0, 0, 16, 13, 0, 0, 0, 0, 13, 4, 16, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17, 0, 0, 0, 0, 0, 0, 0, 0, 0, 49, 28, 0, 17, 35, 0, 0, 0, 5, 0, 0, 4, 0, 0, 12, 49, 0, 0, 0, 12, 0, 0, 0, 35, 0, 15, 0, 0, 0, 0, 0, 0, 35, 28, 0, 11, 15, 0, 0, 0, 0, 17, 0, 0, 0}
5
Returns: "NO"
{0, 0, 0, 1, 0, 0, 0, 3, 0, 0, 3, 2, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 12, 22, 1, 0, 0, 0, 17, 0, 0, 0, 0, 24, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 3, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 24, 22, 0, 0, 0, 0, 0, 0, 0, 17, 0, 0, 0, 56, 56, 30, 30, 22, 2, 0, 0, 0, 22, 0}
12
Returns: "NO"
{0, 1, 0, 3, 0, 0, 3, 0, 7, 0, 8, 7, 0, 0, 0, 0, 6, 2, 0, 0, 0, 3, 0, 0, 0, 24, 19, 0, 2, 0, 0, 20, 0, 0, 0, 11, 0, 0, 0, 0, 7, 11, 0, 6, 0, 0, 0, 0, 2, 8, 0, 1, 0, 19, 20, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 1, 0, 0, 1, 0, 0, 0, 0, 0, 25, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 25, 0}
2
Returns: "YES"
{0, 0, 2, 0, 0, 0, 0, 6, 0, 0, 9, 0, 6, 0, 11, 5, 16, 0, 18, 2, 5, 0, 0, 0, 0, 15, 0, 0, 0, 7, 0, 0, 0, 0, 10, 0, 0, 0, 1, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 16, 0, 0, 0, 0, 11, 15, 7, 0, 0, 0, 0, 0, 14, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 70, 1, 0, 0, 0, 0, 0, 15, 14, 0, 0, 70, 0, 0, 0}
2
Returns: "YES"
{0, 0, 0, 3, 4, 0, 0, 0, 2, 2, 0, 0, 0, 7, 0, 0, 0, 3, 6, 15, 6, 2, 0, 0, 0, 0, 0, 12, 0, 0, 0, 1, 0, 0, 25, 8, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 13, 0, 0, 8, 12, 0, 0, 0, 0, 0, 0, 1, 15, 0, 0, 13, 0, 14, 0, 4, 0, 7, 40, 0, 7, 40, 0, 0, 0, 0, 15, 14, 0, 25, 0, 0, 36, 0, 0, 0, 10, 0, 7, 0, 0, 0, 0, 0, 10, 0}
7
Returns: "YES"
{0, 0, 1, 3, 3, 0, 0, 0, 0, 1, 0, 11, 11, 0, 1, 1, 0, 0, 0, 7, 0, 0, 1, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 7, 0, 0, 0, 0, 31, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 29, 0, 0, 0, 0, 0, 51, 0, 0, 0, 0, 0, 0, 32, 51, 0, 0, 31, 0, 0, 0, 0, 0, 29, 0, 32, 0, 0, 0, 8, 0, 71, 0, 0, 0, 0, 71, 0, 0, 0, 0}
12
Returns: "NO"
{0, 1, 0, 0, 3, 0, 0, 0, 0, 4, 7, 0, 6, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 15, 18, 0, 6, 0, 0, 34, 0, 12, 14, 0, 0, 0, 17, 0, 0, 17, 0, 0, 18, 0, 0, 12, 0, 38, 4, 0, 0, 0, 0, 0, 8, 0, 0, 0, 1, 0, 0, 1, 14, 0, 7, 0, 0, 3, 0, 0, 15, 0, 7, 0, 8, 8, 38, 0, 34, 0, 0, 0, 0, 0, 12, 0}
21
Returns: "NO"
{0, 1, 1, 0, 0, 2, 1, 6, 2, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 1, 6, 0, 0, 9, 0, 0, 1, 0, 0, 12, 3, 0, 0, 27, 17, 0, 0, 8, 0, 23, 35, 0, 0, 12, 21, 0, 0, 0, 21, 27, 0, 0, 0, 0, 0, 0, 35, 0, 0, 23, 0, 0, 0, 35, 0, 0, 0, 17, 0, 0, 0, 0, 0, 0, 0, 0, 0, 62, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 16, 16, 0, 62, 2, 0, 0}
16
Returns: "YES"
{0, 0, 0, 0, 0, 0, 1, 6, 0, 9, 4, 0, 6, 10, 0, 0, 0, 5, 0, 0, 0, 0, 3, 0, 8, 0, 8, 0, 8, 9, 0, 0, 30, 0, 0, 0, 10, 0, 0, 0, 9, 0, 0, 0, 0, 28, 0, 0, 0, 0, 12, 12, 0, 53, 1, 28, 0, 5, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 53, 0, 3, 0, 0, 1, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}
14
Returns: "YES"
{0, 0, 1, 0, 0, 0, 0, 0, 7, 6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 31, 0, 0, 0, 0, 0, 0, 31, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 7, 0, 0, 1, 0, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, 0, 0}
26
Returns: "YES"
{0, 1, 0, 3, 0, 0, 0, 6, 0, 4, 0, 0, 8, 0, 3, 0, 0, 0, 0, 0, 0, 8, 5, 0, 0, 0, 14, 5, 19, 21, 28, 0, 0, 0, 1, 1, 4, 0, 0, 6, 6, 0, 0, 0, 0, 18, 14, 0, 0, 0, 0, 0, 0, 0, 0, 21, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 23, 0, 17, 0, 18, 0, 0, 17, 0, 0, 0, 0, 0, 0, 0, 23, 28, 19, 36, 0, 0}
20
Returns: "YES"
{0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 8, 0, 1, 0, 3, 0, 11, 2, 0, 10, 11, 0, 3, 0, 17, 12, 17, 0, 0, 0, 0, 8, 0, 11, 12, 6, 24, 0, 5, 0, 0, 0, 3, 10, 1, 0, 0, 0, 0, 17, 0, 32, 0, 0, 0, 5, 0, 30, 0, 0, 39, 10, 0, 0, 0, 2, 0, 0, 0, 0, 39, 28, 0, 0, 0, 8, 0, 10, 0, 0, 0, 28, 30, 0, 0, 0, 0, 32, 0, 0, 6, 24, 0}
18
Returns: "NO"
{0, 0, 0, 0, 3, 0, 5, 0, 0, 0, 0, 0, 2, 11, 3, 14, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 17, 0, 0, 0, 9, 16, 0, 0, 9, 0, 6, 11, 7, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 17, 0, 0, 2, 0, 0, 19, 19, 5, 0, 0, 15, 0, 0, 0, 0, 0, 15, 34, 0, 0, 0, 0, 0, 0, 34, 14, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}
24
Returns: "YES"
{0, 0, 0, 2, 1, 0, 6, 4, 0, 3, 0, 0, 0, 0, 0, 4, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 6, 19, 0, 19, 0, 0, 0, 0, 0, 11, 18, 0, 0, 0, 0, 19, 19, 13, 0, 13, 0, 0, 0, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 33, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 33, 0}
18
Returns: "NO"
{0, 0, 0, 1, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 7, 6, 0, 0, 0, 0, 0, 0, 0, 16, 14, 6, 1, 2, 27, 0, 0, 16, 0, 0, 0, 0, 0, 0, 26, 7, 14, 0, 0, 0, 0, 0, 9, 0, 0, 0, 5, 0, 18, 0, 0, 0, 0, 0, 0, 5, 0, 26, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 1, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 2, 27, 0, 0, 0}
18
Returns: "YES"
{0, 0, 0, 1, 0, 3, 0, 7, 3, 0, 0, 0, 0, 0, 9, 0, 0, 1, 0, 19, 0, 13, 19, 0, 0, 0, 6, 0, 7, 3, 21, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 18, 0, 0, 9, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 59, 0, 18, 0, 2, 0, 0, 63, 0, 0, 0, 0, 63, 0, 0, 0, 59, 13, 7, 21, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0}
22
Returns: "NO"
{0, 0, 0, 0, 3, 5, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 8, 3, 0, 3, 3, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 18, 0, 8, 0, 0, 0, 0, 19, 0, 0, 0, 0, 0, 0, 0, 0, 16, 41, 11, 0, 0, 21, 0, 5, 0, 0, 0, 0, 5, 11, 0, 33, 0, 0, 0, 0, 0, 3, 0, 18, 3, 0, 41, 33, 0, 0, 0, 10, 21, 19, 10, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3}
22
Returns: "YES"
{0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 13, 0, 0, 0, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 13, 0, 0, 0, 0, 13, 0, 48, 0, 0, 0, 0, 0, 0, 0, 39, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 0, 0, 1, 13, 0, 0, 0, 0, 0, 39, 0, 4, 4, 0, 0, 0, 0, 48, 0, 0}
2
Returns: "YES"
{0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 2, 5, 0, 0, 4, 13, 0, 13, 14, 15, 1, 0, 6, 17, 0, 12, 0, 6, 9, 18, 0, 0, 19, 0, 0, 15, 24, 0, 11, 1, 0, 11, 5, 0, 9, 0, 10, 0, 0, 0, 13, 0, 0, 10, 2, 0, 0, 0, 0, 19, 0, 0, 0, 0, 0, 65, 0, 15, 20, 0, 19, 0, 0, 0, 11, 0, 20, 0, 17, 20, 12, 0, 0, 0, 0, 19, 0, 24, 9, 14, 0, 0, 0, 0, 0, 0, 65, 18}
16
Returns: "NO"
{0, 1, 2, 3, 4, 0, 0, 0, 1, 5, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 2, 0, 0, 1, 7, 0, 0, 0, 0, 17, 1, 5, 0, 0, 0, 3, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 39, 25, 0, 0, 0, 0, 0, 6, 0, 34, 34, 0, 0, 0, 0, 7, 1, 0, 0, 0, 3, 0, 0, 0, 17, 34, 25, 0, 0, 0, 0, 0, 39, 0, 0, 0, 0, 6, 0, 0, 0, 5, 0, 0, 0}
4
Returns: "NO"
{0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 12, 10, 0, 12, 0, 0, 0, 0, 14, 14, 0, 0, 0, 0, 0, 0, 3, 17, 0, 0, 0, 0, 0, 10, 0, 5, 20, 8, 0, 0, 0, 0, 8, 0, 14, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 23, 0, 0, 0, 12, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 36, 20, 0, 0, 0, 0, 23, 0, 36, 0, 0, 3, 0, 0, 20, 0, 0, 0, 0, 0, 17, 0, 0, 0}
46
Returns: "NO"
{0, 0, 0, 0, 1, 0, 4, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 12, 3, 0, 0, 0, 0, 26, 0, 0, 26, 18, 0, 0, 3, 0, 0, 0, 0, 0, 0, 6, 3, 0, 18, 0, 0, 1, 0, 0, 15, 12, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0}
28
Returns: "NO"
{0, 0, 1, 3, 0, 4, 0, 0, 0, 0, 0, 8, 0, 5, 0, 0, 4, 0, 5, 0, 0, 0, 14, 6, 4, 11, 26, 14, 0, 0, 0, 0, 0, 0, 0, 11, 1, 15, 1, 38, 0, 0, 8, 0, 0, 0, 26, 4, 0, 0, 15, 0, 0, 0, 5, 0, 38, 0, 0, 27, 30, 0, 0, 11, 0, 42, 44, 0, 42, 30, 0, 0, 0, 0, 0, 0, 44, 0, 0, 4, 0, 0, 0, 0, 0, 6, 0, 3, 0, 0, 0, 0, 0, 0, 0, 27}
20
Returns: "YES"
{0, 0, 0, 3, 4, 3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 1, 1, 9, 0, 0, 0, 0, 0, 0, 3, 16, 26, 0, 0, 0, 0, 5, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 5, 0, 0, 0, 26, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}
19
Returns: "YES"
{0, 1, 1, 0, 0, 0, 1, 5, 2, 7, 0, 0, 7, 8, 6, 0, 0, 10, 16, 18, 0, 19, 0, 0, 0, 0, 0, 20, 0, 6, 10, 4, 2, 23, 0, 0, 0, 19, 0, 0, 0, 0, 9, 12, 0, 0, 0, 0, 0, 5, 0, 0, 7, 20, 5, 42, 9, 0, 14, 14, 0, 44, 0, 0, 6, 0, 16, 0, 31, 0, 9, 0, 12, 0, 23, 0, 0, 42, 31, 8, 0, 0, 0, 4, 18, 59, 0, 0, 0, 14, 44, 0, 75, 59, 75, 0, 0}
49
Returns: "YES"
{0, 1, 1, 0, 3, 0, 1, 0, 0, 0, 8, 8, 0, 11, 0, 0, 0, 0, 0, 0, 15, 9, 1, 0, 17, 0, 0, 0, 0, 0, 7, 0, 1, 0, 0, 0, 0, 0, 0, 4, 0, 0, 22, 41, 7, 0, 0, 16, 0, 17, 0, 0, 9, 0, 3, 0, 0, 15, 33, 0, 0, 9, 22, 0, 0, 41, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 63, 16, 0, 0, 0, 0, 11, 0, 0, 0, 0, 33, 0, 0, 22, 0, 0, 0, 63, 3, 0}
12
Returns: "NO"
{0, 0, 1, 0, 3, 0, 6, 1, 0, 9, 5, 4, 7, 6, 0, 2, 0, 16, 6, 0, 10, 10, 20, 0, 20, 0, 0, 0, 9, 0, 0, 0, 0, 7, 0, 0, 0, 29, 0, 10, 0, 0, 0, 19, 29, 0, 5, 4, 0, 0, 0, 0, 0, 45, 45, 0, 0, 41, 0, 47, 22, 46, 30, 0, 0, 6, 0, 24, 0, 47, 57, 0, 41, 46, 30, 19, 3, 0, 2, 22, 0, 0, 24, 0, 0, 16, 1, 0, 0, 5, 0, 0, 0, 0, 57, 0}
49
Returns: "YES"
{0, 0, 0, 2, 3, 0, 0, 5, 6, 0, 9, 0, 6, 0, 1, 12, 2, 0, 0, 0, 0, 0, 0, 0, 8, 0, 3, 4, 0, 4, 3, 0, 31, 1, 8, 0, 0, 23, 31, 0, 0, 23, 12, 0, 25, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 3, 12, 0, 0, 0, 0, 4, 0, 9, 0, 0, 40, 0, 0, 0, 0, 0, 40, 25, 2, 0, 0, 0, 12, 16, 0, 8, 0, 0, 12, 16, 2, 0, 0}
38
Returns: "NO"
{0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 0, 2, 0, 13, 1, 0, 0, 0, 0, 5, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 15, 0, 0, 0, 0, 0, 19, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 57, 0, 0, 57, 0, 0, 0, 0, 13, 19, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}
41
Returns: "YES"
{0, 0, 0, 0, 0, 0, 5, 0, 6, 0, 0, 0, 0, 9, 0, 0, 0, 0, 2, 3, 5, 0, 20, 0, 0, 0, 12, 0, 0, 21, 9, 0, 0, 6, 3, 0, 10, 0, 0, 0, 25, 0, 29, 1, 36, 0, 25, 0, 0, 0, 0, 0, 0, 36, 0, 23, 34, 0, 34, 0, 0, 29, 9, 20, 12, 36, 0, 21, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 34, 0, 2, 0, 0, 0, 10, 0, 12, 0, 0, 0, 0, 23, 0, 0}
22
Returns: "NO"
{0, 0, 0, 1, 1, 3, 0, 2, 1, 6, 0, 1, 0, 0, 4, 0, 13, 0, 12, 13, 4, 0, 0, 9, 6, 8, 11, 12, 0, 0, 0, 13, 0, 3, 6, 0, 0, 2, 0, 11, 3, 0, 16, 0, 0, 6, 0, 0, 29, 0, 0, 0, 16, 49, 12, 0, 0, 32, 0, 0, 7, 0, 6, 7, 32, 29, 0, 0, 0, 6, 50, 6, 0, 0, 0, 50, 0, 0, 0, 17, 49, 10, 0, 8, 9, 0, 0, 0, 0, 10, 0, 0, 0, 17}
48
Returns: "YES"
{0, 1, 0, 0, 0, 4, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 15, 21, 0, 0, 0, 0, 21, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 0, 0}
42
Returns: "YES"
{0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 3, 0, 4, 1, 12, 0, 7, 0, 3, 1, 0, 18, 0, 5, 12, 0, 0, 0, 0, 8, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 9, 34, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 7, 0, 34, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 5, 0, 0, 0, 0, 0}
37
Returns: "YES"
{0, 0, 0, 0, 0, 1, 1, 0, 0, 5, 2, 0, 0, 0, 0, 0, 0, 12, 0, 0, 18, 9, 0, 0, 0, 12, 0, 0, 0, 25, 0, 0, 0, 0, 9, 0, 6, 0, 33, 0, 0, 2, 17, 0, 1, 0, 0, 0, 0, 13, 0, 1, 0, 0, 6, 0, 0, 13, 0, 0, 1, 0, 54, 33, 5, 20, 54, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 25, 0, 0, 0, 0, 0, 17, 0, 0, 0, 18, 0, 20, 0, 69, 0, 0, 0, 69}
41
Returns: "NO"
{0, 1, 1, 2, 3, 4, 5, 0, 0, 0, 6, 0, 0, 0, 0, 9, 9, 8, 6, 10, 6, 8, 0, 0, 0, 0, 26, 21, 0, 0, 0, 0, 0, 2, 10, 0, 0, 8, 0, 0, 0, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 45, 1, 4, 27, 2, 45, 0, 0, 0, 0, 0, 0, 0, 17, 0, 3, 26, 0, 0, 0, 0, 27, 21, 2, 0, 5, 17, 0, 0, 0, 0, 4, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}
14
Returns: "NO"
{0, 0, 2, 0, 0, 3, 0, 0, 6, 7, 0, 4, 0, 10, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 0, 0, 22, 10, 1, 1, 0, 0, 7, 15, 8, 0, 0, 17, 0, 0, 0, 44, 0, 22, 0, 0, 0, 0, 3, 5, 0, 0, 4, 0, 0, 0, 17, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 44, 13, 0, 8, 6, 0, 0, 19, 0, 2, 0, 3, 0, 19, 0, 0, 15, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0}
31
Returns: "NO"
{0, 1, 0, 3, 3, 0, 0, 2, 0, 6, 0, 2, 6, 1, 0, 12, 4, 0, 15, 19, 0, 18, 13, 4, 5, 0, 15, 12, 21, 13, 0, 28, 0, 0, 0, 10, 6, 0, 5, 26, 0, 0, 0, 0, 28, 18, 0, 0, 0, 0, 2, 12, 6, 2, 25, 4, 19, 5, 0, 0, 0, 0, 7, 0, 0, 21, 7, 0, 10, 0, 12, 6, 0, 7, 0, 0, 0, 13, 0, 0, 15, 0, 26, 0, 0, 50, 0, 0, 0, 50, 25, 0, 0, 0}
46
Returns: "YES"
{0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 6, 14, 0, 0, 0, 8, 10, 14, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 13, 0, 0, 8, 0, 13, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 8, 0, 0, 0, 6, 0, 0, 10, 0, 0, 0, 0, 0, 0}
39
Returns: "YES"
{0, 0, 1, 2, 0, 0, 2, 3, 2, 0, 0, 4, 0, 0, 0, 3, 10, 0, 8, 0, 0, 0, 14, 0, 0, 0, 26, 3, 0, 26, 0, 0, 0, 0, 1, 2, 12, 0, 12, 0, 0, 4, 0, 0, 0, 0, 15, 0, 15, 0, 9, 0, 8, 9, 0, 6, 28, 14, 2, 4, 0, 1, 6, 3, 0, 0, 0, 28, 29, 0, 0, 0, 6, 0, 29, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 12, 0, 0, 0, 10, 28, 0, 0, 0, 0}
29
Returns: "YES"
{0, 1, 0, 1, 0, 3, 0, 0, 0, 0, 0, 0, 0, 13, 14, 0, 1, 9, 0, 0, 0, 17, 18, 0, 20, 13, 0, 0, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 21, 0, 0, 0, 0, 18, 0, 0, 0, 14, 0, 0, 20, 0, 0, 0, 0, 0, 19, 13, 0, 9, 0, 2, 0, 0, 21, 0, 25, 0, 0, 1, 0, 0, 14, 17, 0, 0, 0, 11, 0, 19, 0, 0, 0, 11, 0, 0, 0, 0, 0, 0, 25, 0, 21, 0, 0, 0, 0, 0}
24
Returns: "NO"
{0, 0}
3
Returns: "NO"
{0, 0, 0, 0, 0, 0}
12
Returns: "NO"
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}
51
Returns: "NO"
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}
89
Returns: "YES"
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}
63
Returns: "NO"
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}
43
Returns: "YES"
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}
69
Returns: "NO"
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}
33
Returns: "YES"
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}
43
Returns: "YES"
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}
13
Returns: "YES"
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}
45
Returns: "NO"
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}
31
Returns: "YES"
{0, 1, 0, 0, 4, 0, 2, 2, 0, 2, 6, 1, 3, 6, 5, 9, 11, 13, 1, 10, 14, 4, 7, 21, 16, 8, 25, 4, 5, 22, 25, 14, 12, 11, 12, 26, 21, 8, 2, 38, 3, 5, 4, 38, 27, 35, 38, 30, 38, 9, 16, 36, 6, 10, 7, 27, 30, 33, 17, 26, 17, 10, 35, 10, 38, 41, 15, 9, 3, 27, 8, 15, 38, 22, 41, 33, 33, 36, 30, 13, 18, 22, 18 }
12
Returns: "YES"
{0, 0, 1, 0, 2, 3, 0, 0, 8, 5, 7, 5, 2, 12, 12, 14, 14, 13, 8, 2, 1, 7, 18, 16, 8, 24, 18, 2, 24, 3, 11, 5, 24, 4, 34, 6, 31, 13, 38, 19, 4, 3, 22, 3, 11, 12, 21, 34, 41, 8, 19, 4, 13, 29, 33, 8, 14, 50, 18, 45, 16, 50, 44, 50, 38, 5, 43, 31, 29, 7, 6, 45, 38, 4, 19, 41, 50, 21, 44, 41, 43, 22, 33, 6, 8 }
12
Returns: "YES"
{0, 1, 2, 3, 1, 1, 4, 4, 0, 1, 6, 9, 1, 12, 9, 2, 4, 8, 6, 13, 8, 5, 11, 12, 17, 19, 13, 9, 3, 24, 30, 29, 28, 28, 11, 27, 2, 26, 6, 14, 8, 26, 15, 25, 33, 38, 1, 24, 15, 43, 3, 39, 26, 8, 13, 50, 28, 8, 6, 27, 8, 38, 27, 50, 17, 50, 25, 40, 7, 29, 22, 40, 2, 24, 22, 30, 33, 40, 19, 14, 26, 39, 5, 43, 7, 4 }
9
Returns: "NO"
{0, 0, 0 }
3
Returns: "YES"
{0, 0, 0, 1, 1, 2, 2, 2, 3, 3 }
2
Returns: "YES"
{0, 0 }
2
Returns: "YES"
{0, 1, 1, 0, 0 }
2
Returns: "YES"