TopCoder Statistics - Problem Statement

Problem Statement

Manao works at a laboratory on a highly classified project. From time to time, he is given a special device and has to determine its exact structure. Every such device operates on special plates. There are M bits written on each of the plates from left to right. The device has two inputs and a screen. Each input requires a plate. When two plates are connected to the device, M bits of output appear on the screen. Each bit of output is either a binary OR, AND or XOR of the corresponding bits of the input plates. Manao's task is to determine what operation is carried out for each of the bits.

Manao has N plates. He is going to test the device on each possible pair of these plates and determine its structure by the outputs on the screen. It might be that the plates Manao has are not enough to uniquely identify every possible device. You are given String[] plates, where each element describes a plate Manao has. If these plates are certainly sufficient to determine the structure of the device completely, return "YES". Otherwise, return "NO".

Definition

Class:: TheDeviceDiv2
Method:: identify
Parameters:: String[]
Returns:: String
Method signature:: String identify(String[] plates)
(be sure your method is public)

Constraints

plates will contain between 1 and 50 elements, inclusive.
Each element of plates will be between 1 and 50 characters long, inclusive.
All elements of plates will be of equal length.
Each element of plates will contain characters from the set {'0', '1'} only.

Examples

{"010", "011", "000"}

Returns: "NO"

With these plates we cannot determine anything about the operation done on the first bit, because all of them give the same result. Also, we cannot be sure that we can determine the operation done on the third bit: if it is the AND operation, we can find this out (for example by using the first two plates), but we cannot distinguish between OR and XOR using the given plates.
{"1", "0", "1", "0"}

Returns: "YES"

Manao will see the result for every possible combination of bits, which is enough to distinguish between AND, OR and XOR.
{"11111"}

Returns: "NO"

A single plate is not enough for even one test.
{"0110011", "0101001", "1111010", "1010010"}

Returns: "NO"

The operation done on the fifth bit from the left (1-based index) cannot be determined.
{"101001011", "011011010", "010110010", "111010100", "111111111"}

Returns: "YES"
{"0","0","0","0"}

Returns: "NO"
{"0","0","0","1"}

Returns: "NO"
{"1","0","0","1"}

Returns: "YES"
{"1","0","1","1"}

Returns: "YES"
{"1","0","1"}

Returns: "YES"
{"1","0","0"}

Returns: "NO"
{"1","1","1"}

Returns: "NO"
{"0","0","0"}

Returns: "NO"
{"1","1","0"}

Returns: "YES"
{"1","1"}

Returns: "NO"
{"0","0"}

Returns: "NO"
{"1","0"}

Returns: "NO"
{"0","1"}

Returns: "NO"
{"1"}

Returns: "NO"
{"0"}

Returns: "NO"
{"1100010110011010011001101000010","0101100111111000100010000010000","1110001110001001011110101110001","1101111110010001000100111000010","0001010000011010001100001010010","0010101100101010010111010011111","0001101011111111100011001010110","1010001100010111110010011111111","0010110101100011110101110110010","1100001110001011001000100111100","1101000111110111001100100111101","1101100110110001111110000000111","0100101100101010100101111001011","1000111010000001010001111010010","1011010010010110111001010100000","0000101000011000010110110010000","0011100100111011111111101111100","0001111101000110101110011111111","1110101000001011101110100110010","0010101010100010101000001101000","0110011001011110000011111111110","1111000111010110101000011010111","0000101100010000001011011110000","1100010101110001111101011101001","0011000100111110010110001001001","0001010101010001110101011010001","1110110100111110000110110000010","1010011101111111001100111100001","0100110011000100111001110011110"}

Returns: "YES"
{"111000101001","011000011011","011100111001","110010101111","111101001000","101110110001","000010111010","001001001101","001001110011","110100100111","011101100101","101001111000","001110011001","100011000010","011011000000","000010011100","011111101001","001011111011","010001010101","000001111110","001110001110","100000000010","011110010111","111011110011","100110010111","010000001010","111110001011","001111010110","010101110100","111001110011","001111010110","000101001011","111101011100","110100111101","110000001010","010001110101","011001010111","111111101001","011001010111","000101101111","001010100100","001101000000","110001111011","111000110110","101001000110","011001000111","100010011010","010010001100"}

Returns: "YES"
{"01000000111011001000010011","10100010101011010100010110","01011110100010001111011010","10110010000011110100000110","10011111011011011111010000","00110101011110100001000101","11001000001001010001110000","01100001100010000100011100","10111100100000000110001010","01101001111010001101010000","01111100101110010110101111","01100011101110101100110010","00100011101011100001101110","00111110111101001010000011","00010011011001100110010111","11101110010111011101001111","11001011011000010111101101","00110110011111010010110001","11101001001101111010101100","11101011111101000101110110","00001011010101010101101111","01101011100001000010101100","10100101000000100001011011","11001011101111011011111000","01010110000010000000000101","11000011110000110000100110","01001100100011010000110111","10000001000101101100100000","11111011111101011011011110"}

Returns: "YES"
{"0101100010101111010100000100010","0111111101011011100010001100110","0011000101110001000111000111011","1010010101111101010111001001101","1010101100111110111011010000110","1110111110000010110001111100100","1110111110100000011111111111011","0111011011001110101110000001000"}

Returns: "YES"
{"0000011101000001000001100100010000010110000000","1011011011110111001010110000011010110110001000","1010100010110110011111001001000001111011111110","1010101110101011101100100011000011100111001111","1011101100110110011101100001010110001000101001","1100010000110111000000000001110101110011100011","1110110001010110010100101011010011010001111000","0001001111001010110100001100000100001111000100","0000010111100110110100101100101001010101011001","0000100101001000101110011101111010010010100001","1010011110010100100001100101001011100101111101","0010101010100010000010000111111001000001100111","1001100101000010010101110111101110100000110100","0010000110111001010000110111110100110111110011","0011001011001100110000110001100000111001001101","1011010011101010111110101000101100011111010001","1000111010010110110001000110111001110001101010","0001111011110100011001000101010110001001100010","0111110001011100111000101110010010110010011000","1111101111111111011000000101100000001000110111","0000111000001100010110111110010000010100100110","1110000000010001010100001110000010011011101101","0101100101011001111101111001000001101100010101","1111110101100001010000010001011100000001100001","0011000010100101000011011001111111000001101111","1010010001000111010001110001000101110010000011","0111101010011000010000000111110100001011110111","1010001101110011011001010011010000101011001101","0000010000110011100101011011111010001000000111","0101000111011101001001101100001101010011110001","0010111000000001010110011001011111011100010111","1111010001001000110000010111110001011111000100","1110010100000011111011011001100010111010101001","0100100110010110001011001111010011011110000110","1111011000011110101111000000000000111100000101","0101011100110011101101111011000001110001110010","1101111010011001111001010001011101110111101101","0111001100101010100000100110011000001101110001","1110010101110100100101000010111101010001100001","0111111110110111000000010010000010100111111100","0110001010100000010000011100010110110110110111"}

Returns: "YES"
{"0101110000011101110101100000101010","1000110110011010110111101001101111","1100010001100100001001001111111101","0001001100000000111110110011010100","1110000111000000001000100011011100","0010001000001000000001110111111100","1010011000001000010111100011101100","0000001110001000010000111001110010","1100101010100001010010011101101111","0100000010010111101111101100000010","0111101101001011110001000111000001","0110111101011110111100110101100011","0110011101101011111010011111000111","1011100011010100001110101111101000","0011010111000011001101001000101000","0010010111101100000111101000101110","0100001001100100000101000010011100","1011010100010011110011010010010111","0110101110011111111000100010111110","0101100010111101001000010011111101","1000100000000001111111110010111101","1101001111010001101101110100010001","0000100000100101010011101000011010","0001100011110001111100101011110001","0011111101101010110100110101100100"}

Returns: "YES"
{"010110011010000110011101010","110100111001011000011001111","011011010111110110101011000","010110100110110000010101010","110010110001001010011100101","011011111011101010100001001","100010101111100111010111001","100110101110100101001010100","110101111110000000011111011","111100100101000100011111011","001000010111111000110001001","100001100000010010001001001","001011101101011110010000110","100010110010111111100010101","110010011011101011110110011","000101101100001111100011110","111010101110101001100110110","101111100011000010110111010"}

Returns: "YES"
{"010011101101000000001001001011101","111001011010000100010001001001001","010010101100110101101111110111100","101010001000100110000110011001101","010110100100111001001000000001000","000100011100001101011001101000100","010111100010100111111001110101010","111001101110110111000011000001101","111110011010010101101101100111111","000110101000100100110000111101110","011111010001100011010110011110110","010010111001100001110101110110000","010010100111111010001111111000111","110001111110111110010110101100010","011111010010001010111010110110101","001001101010111101010001011101001","010010110010100111000000100111100","000010101010011000000100001000111","010110101011011000011011100110111","101100010001101100100111100000010","110111010011010100111001111001010","111101110010011000000010000101010"}

Returns: "YES"
{"010101100000110110111010110","000110110000001100110011111","111011001100010011011101101","010101001010001000100100001","110100111111110110001010111","100010100001110011001110101","100111111100000100101001000","001111101001001010101111010","100110010101110011110001000","010101111001000001001001110","100001100011001100100101101","000100110000110100111000100","101111100111010010010011010","010111011111100110000010000","010111000110000000110010011","101011100100111101001000111"}

Returns: "YES"
{"00101100000010111110001010101","11010010001011101011000100110","11100111011101001110101100101","01001111010100001110011001100","00000011000011011100010001000","00110001010001000111110100011","11011011110010000110011111110","10100010110000100001100010101","01110100110111111100110101110","00110011011010101000100101000","00101111000110101000100110011","00101010010100011001001000100","10011010101001101100011110110","01111111001011000011011011000","11011010000111001101110010001"}

Returns: "YES"
{"0010110011111001001110100001100","0101011001101110000111101100100","1011011111000010001000001001011","0111100001010100101011010101100","1101001000001011100101111011101"}

Returns: "NO"
{"101011000111100011100100000001100","111100110101001011110000011011110","000001101100011000000001111101000","001001001001011001110001000011101","001101000011001011110111000100011","001011001100101101011110001001011","001011110110111110001100110101010","010100010110000011101101100011111","001110111000111001001011101111000","010100010110111001001100001111110","001000011110110100110011111110110","110010101101110100111000000110110","110111010110111110011000110100010","101100101010010100100111101000011","101001111111001110110001010101110","100000111100100011110111111011110","100110100001001110010010100001110","100000010000010001101010101100110","000010001111100111101110111001000","000011110011111001111100000111010","111001010110100101101101111001000","110110111111000110000101100000101","001001111111001000101111101011001","011100101111101001100011001111111","000010111011001111110011101000100","000110101110010100101001110100010","000101101000110101001001101110101","011010111001001010011100011011000","011110100111110101011011001100001","001100111110010100000011110011010","011000111010011111111100101101010","110011011100001110010100001000001","010001110111010010100100101010111","100000101011101010010100011000011","010101110110101100100111000011001","100011000100000111011110011001100","111100100100111001010111111111101","011011101010001001111111110010101","000101000010011010100101001000100","001011110101110101010000110101001","110110110110000010111010010101000","001101010110000010111011011000111","000001011010010010110011000110011","101010100011001011101001100000000","010110111101001000001110010100110","001101001110111111111101100011001","100100001110011111001011010011100","111101101111000110100001001010010","110101010010111100000011011111010","011000010111100100001101011100010"}

Returns: "YES"
{"0111000101100111100011111011010010101001011101011","1100111110000011011000010011111111101110110000111","0010010110000110010000010011100101001101111011010","0011101011001100111010000111011011011001011001011","0010111111010111110000110100101111110101110000010","1111111111100110010011110000100101011111110001111","0110000110001001101100001000011111011001000000000","0111001110011011001000101001101110100001101010110","0100110100000110010010001011100101010001011001101","0101100011000100111110100001011110011110110101110","0000000010011000000010010010111001000010001011011","0101000101000001110101101100110010011010011111000","1111111001010010000000011011100110010101101110010","1000111000001010001000101000011000000000011010000","1010101011001110111111100110000101010001001000001","1001001001111000011100111000011000110101100110011","0011111100101001000101010001100111101101011010110","1001110001111000001110111010101000100010101101010","0110101110011000011101011001001100100001011010111","1111100011101111011101010110111111011010011000001","1111100001010100001100110001100110100000111011010","0010101000011010100000011011101111100000100101010","0100111010011001010011010001001101010101110011001","0010010101100000110011110001011101000100111101101","1101001001110011010001011110011111110010100000101","0100101111010010111100111001111010101011100010110","0010001001010100001101010100110011101010001110100","0011001111010001010001011111010100001111001000001","1010111000010010110010100001001100000101101011100","1111001011111001000110111110111001110011000001101","0101100000010100111001111101100001111101010000010","0111100100011110000110101001101001101010111111111","1110101001111000001001011101101000101110001111010","1100100100001010111000011011100010101101011001110","1100101011010100000001100110111011010010001001111","0011111111001111100011100111100001111111011110011","1000111111110010010011100010101011100100100001111","0001101111111001001101100111000111011110100101011","0010111111111001011011001001000010010111010010100","1010111101001111111110111101111010011110101011010","1010111111000001000011101111001101011000000111101","0101111010000111110100100011110100001111010011110","0111001010111100010010010110111110000011100000010","1110010110001110000101111000111000100101000001000","1011111101100011000010011101000111111110001010101"}

Returns: "YES"
{"0001100101101000011000","1111100001100101001111","1101001111101011000100","0111110111101001101001","1100110100011111100011","1111100010000101110100","1100010101001111000000"}

Returns: "NO"
{"0001011100101100","1110110101001001","1110100010001111","0011000100010101","1001000101001001","0100011110010101","0101011001011010","1100111011011011","1000001110101110","1000100011001000","1101110101001110","0011010100010000"}

Returns: "YES"
{"010111011110101101100010111100101100","111111111100011000100010111101010011","001010111111110001011101010000101101","101010011011101001010010010101101000","010011001111110011000001101011011000","111101001010101010000001011100100010","010111101000101110011010111101011010","110011011010000101010101111101011010","101001111111010000100101010010000101"}

Returns: "NO"
{"01100101001001111111100101011100110","10001001011110011110000000110000100","00101101101100100111100100001100001","00000100001010100101111000111110010","10111010000100001000110111011101000","01100011000001011111000010010100010","01100100110110101011010010100000011"}

Returns: "NO"
{"10010100000011001011010110001100011011101","11001001001100000111000011110110100101111","00101000010110111101111010001011111010111","10000000111110100111010100000101000010010","11110110100000111011100000111111111110010","11101100001000000100111000000000101110111","10010000100000010100010001010001001111100","11001001001010011111111100010111001001111","11100011010100110110101011011000010001011","11010100011101001011111001011011001011110","00011000001110101100110001100100100110010","11101001011001110011011001100000000111110","01000000001010001111001100011100011011111","00011000101110001000001010001110000001000","00011101111001011111000101101110110001011","11101110000111100110110001111110100101110","11011110011100010100100010011001100110110","10000011100111100011101100110111111000001","11111000100010010010101110110000100000100","01110100100000000110110100100110100100111","00001100110010011001010110010101011110001","01001011001101000101101001000101011000010","01101010110100011011010110100010110111101","00010101101111111010000001110100111001000"}

Returns: "YES"
{"01000010000011010011000111001101","00111110001101110011011000110110","10011111111010100001110101101010","01000001111100100011111101111110","10000101001111101001010001001101"}

Returns: "NO"
{"110001001110101010000001101010001000000111101","111111000000101011001111111000100000100111110","010011111010000010011011000001000100010111110","100111011110111101111111110010000100000010010","111010101001010001101000101000011010001001000","010100111001011000100011001000001010100000011","100001010110011111011010100101000000101100100","000010010110101010110101100100100001010001110","110010000010100010111011110101010101110101000","110101100011010010001110010110010110110100010","100000011000001001011110101110001111011110101","001001011000010000000010001011101101000011110","111110010111010010000010000000111111110111011","110111010010010110010110010001001110101010001","010101111111100001010101111011011101011111011","011101101000001110010110001110010010000011100","111111011001001110001100100111101010001111011","101000010100100011110111101101010100100100010","110100101001101111011010100101111000000100001","111111110001001010101011100011011100000100101","110010001010011100010000010101110011100100011","110110010000110011011101011001100000110010100","011100101000001101100110111110001111000011110","010000101101000110000010101101000110011111001","100000110101010000010010001000100110111001111","010010010101000101111011100111110000011010010","111100011100001001101001001111111000110100100","101001101100001010000001000011010011011011001","100110010100100011111100010100010111010110011","110100100101111110110001010011110101010001000","010001110100100010000000010001011000100111111","110010100011111100001100000110101101011001000","010110100101111100110000001100011101010110010"}

Returns: "YES"
{"0111110101110111000001011011001111001000110111","1010000100111010001001000110001010110001110011","1101111101001110000100111010111110000001101010","1000101100000100000100100100110111010110100100","0111001011001111010111100011100000000010010000","1100010010110000010010011001001101000011100110","1110010011100110001100000100101011100010001010","1101110111010101001101111010101110110111110111","0100100110001101011101110011001000111110110110","1010010100101101000101101100110111100110110101","1111001111001111001110101110001111100111001010"}

Returns: "NO"
{"00001110000110100100110000000100110100111010001100","00111100100001110100010000011110001110101110111010","01101011111000010101001010101011111110010110010011","11101111101000100011010110001000101100110111100100","01111100100100010101110001000001010011101100111101","10000111110101110101001001110001100101111000110101","10000001100000101000011011011100010001011000011111","11001001101110001100010011000100011111101000110101","10011011011101110001101000100010011101000111000010","11101010101001010101101101110101100111001010011011","00000011101111101110111000101101110110110110101011","01001000111011001101010001111101011001111111000110","01100010111111111100101000001101111010011100111101","01110001010010110001001100001101111001010111100101","10011010111000001101010111001101011010000010101010","00110100000111010101111011011101101101001101110100","10001001101000000111111111001101000111101001110110","11010101111001100010010000000111110010100000111010","00111110011100100010010101111001101111011110101000","11001010011010000011000111101000011000110101011101","01111001011011110000101001001101100111010011110001","00001110000111011010101111101100001110010011001011"}

Returns: "YES"
{"010001001011101101110001010001000110100100000010","100111111111001010001110000101011010001101110101","100000110011000110001010101011000100011110101010","111001011100011011011001010100000110010001000000","001101111111001000100000001010000110110010010100","101001011010101100100000110110110101101011101001","110100100011010110001100000001111001001010000010","001000100110011100011111101000010001111100110101","011110110010000101010010100100101101011000001101","001111101001001001000111001100100111010000010011","100011000110001001010100111010110100011010011011","110001100011001000011000100111011010100111000110","011000010110010100111100110110001011111011111010","001010001110001101100010001010000100011000111000","010101110010110100101111101100011100000000111000","101110010010011111010001101000001010100010011101","111001010010010010110110000000010011100001100100","110000011111010001011101000011000011001010011000","110110010111011000011010001101010010000101110111","010011100110110001000110011000110101101000001111","100101101010110000100100001100100100110100000011","000010101010110110001000001100000001001010010001"}

Returns: "YES"
{"11111110111110001101001101011100010110010001110","01001101110000110101001001010101111110011011011","11011011000101001010111100100111011101100000011","10111100001011001011110111111010011101100100110","10011010000111001111100011111100110110110110100","11000111001010110010011111110111100101101000100","01001111100111110100100000111000101010101110010","00110111110000110001101000010110101010001100010","11101101010111111010101100100001000011100110100","00101001100000100110111100000101100101101001101","11000101011110011100110110101000011001000110010","10011101010001101001000000100001110100100011100","11011001011011010010011111100111010011010110111","00110001101111100111001000100100111111100010010","11101001001001011011110001010101100001011100000","10001100001001010101001111110101111011001011101","11100101100111111011011101110011010001000001001","00001010101001111101101111010101001100100001111","01101001110101100011111010111010010001110011011","01100100101010000100010001100100000001001010010","00111000111100111000110001111110001001110011100","01001000001101110110111111101110011110001100100","01100010010100100011000111001011010000101000011","01011000100110110001000000001010110110111010001","00101111110000001100000000111010010100000000000","00101001100110010011000001011100010010001100010","10110001100111101111001110111000101101001110011","11000001101111100010111000001101010101011100011","00001010100000100011101110000000111101000010001","01100010110011010001110011100001111001101100110","01111001000001010111010011100111100001110010010","11010101111001111010010100001001100111100110010","10111100101011010111101011000000101101010110011","10000101000111000111111011111000111000100110010"}

Returns: "YES"
{"11101111010111011100111100101011100010111100100000","00010111000101001000011010101100000110100010110010","10110001110010101101110001010111011000000010010111","11110100101111011100101011000010101110101101011101","00101111001000000101001100100110010000110101011010","11100101101111010011010010011011010100010101001111","00110011011001100001011011110010101011110100101100","01101000011001000101011110011011010001001011011000","01110111111101011110001111111010111111010110011101","00000101011111110000101010111001110100001101000101","11100011100010100110001101111110011010100111101001","10010101100010100101011100101000100101011011110010","01001101101110010111110000101110110000010101001101","01000000110111001111111010000111001110000110110110","10010110011001111100111111110011110011101101101100","11000101001110101001000111111011000101101000011110","11111111010000011011111111100101000001100001110100","00100111010000110001000110100001111100010010110000","01011101000101101010010010011110100100111101110100","10011100110100001010011010000011001001110100110000","01100100000110111110010010110010000110000000001101","11100010011101101110010001110010010010011101110001","10100000001101101110001011101110111110101001000101","11011110111101011111000001100001000010000101110100","11101100010111101111111111100011001101101011111010","11101100011101101111010110101100110000001000011001","01001111010010000001111111000011101100011101101111"}

Returns: "YES"
{"0010100001101001101010011001100011000110100011","1110101111010110110011100001011100011100010101","0011111100010111100110010111000111001101100000","1111000001100011000100110001001101111110101001","1010110111011011001010101001110011000010111110","1010011000110111100000101101011011110111001101","1110101000000101111001000000000010011001100000","0100101010001001010101100101000111110101011010","0011001101001101110100011010110101000101110100","0000001111011010110010000001101110111001001111","1100110101101101100000100000111001101011100110","0111101100101100101100000010100001011100011110","0101001101011000110001011000010110111100100101","1001100110011001011011001011010010111101110100","1111011011010000011001011111001010100011010110","1101100001001110101011110000000000101101100100","0000000011110000010010011000101111100000000100","1100001111001000111111000101111001000101100001","1100011001111110101000111100011111110100000111","0001010101101110101100000010110010101111000100","1101100101100000001110100000110100001111010100","0001011010011001000100110010100111000010001100","0100110100111110010010001001011101111010110011","0111110110000000101011011000101100100110011111"}

Returns: "YES"
{"11111010111100000111100011110001010010100011100","00101110001100110110001010111111000101000010100","11010010000111110010001011100110100011110011101","10000001100010000001111001101100011110110000010","10111100111111001000110110001001011001010000011","01111010110001010100101110111000010001111001010","00100100100001101101010110110001001001110010101","10100101001001110000001011110101001110010110110","01110101110000010111011100000011010111010011001","00111001100000100000100101100000111100011110101","01000000010100111100110110111101100010000010011","10101111001111101101000101110000000101110001000","00001011111011010011010111000001110010100100100","10100111000110110110111001110010010001011111000","10110011010011110110100011101100111011100101010","01100110000000000001101010111011001100001110111","10001000101011011110001111101001100001111010001","11111101111000000011111011111011001011101010110","11110011001101011011111110111111011101011110111","01111111111000011011010111111010111001011110100","01001010011011011010100000101101010001010011001","11101001111000011110000110111001110011110100110","11101001110000000101001101111010011110100010100","01010011010011110101101101101111000010001101100","10111001001110010110101110010100110101001000100","00101111110100001010010011001000011111001101110","00001100100001001011101011101000000110110000011","10100110000110000001101100111110100110100000001","11100010000110000011010011111001100101110000101","10011011111001000100110000101010001100011111100","11001010001100010010011100000101101011000011100","00101001001110001100011001110101010010011101110","11101001100001101001011001101011100101001001100","10100001110101101100111001001011110110000011101","10100001110111010011001111101111011000110111111","00111111111100101110111000111001101001111010101","11010110110001000010110100110100100000101100101","11100110001011001000110110000110100010110001000","11010010100101010100110011100110101011010101000","10101101101111101010010001110010100100111110101","10110001011010000011110111011111101101010111111","10100001000110111010001101011101110101101011010","10101110100101100100100110111100101111001110011","11001010111100101010100001110011110001110001011","01001000111101110110010001111100111110100010001","10110100011111111001110101010011101011100111111","01010111110001111101101110000110011111110101110"}

Returns: "YES"
{"100111001001010001111100100001010101001001000101","101000111100001100101111100000101011111110100010","101010011100100100101010101111111011100110111101","011000001110001000100111000011110111111100001111","000110000111011101000001000001011101111100101000","111001111110101110010011111110100101000001001011","000111101001101100000111100110100101010110101010","111100011000111111111111111001111110101101010111","101111010111000011110010110010111110111100001000","100001011010001110000100010000101000010111001111","011010100011000001001011100000110001000000001011","110100101010101101011100011110100110101000000100","101101110011111011100000000000110011001011111110","001100000010001010101100000000001111011011011100","101001000111111001111101100110001001111011011101","111101000001000110111011010001010101011111100110","100110001111100100010101100111011010011100100011","001111100110100101001111100100111000101001111110","100010000011000101101010010111010111010101011001","100011011001000111111101100011110110111001110111","110001111101000101111111110111011011010100101111","100010111011011011100101101100000010011010100010","111100110011100000000100111110000100011111001010","101111101001100110000011111001010010001111111110","000101000110100111110001111110001001010101101011","101110101101101011000001111101100111001100110110","011100011000101111011000001001101101000001000111","001010000100001100110000100011000001011001001010","010100011100111110100001001011000100111001110001","100101000111101000111110110110100001000001010101","100000001110010101000001011111000001100010100100","001101000010110000110101101110000000001010111010","101110101101011010101101010110011100000010001111","010011110111011000001000111110101100000101001110"}

Returns: "YES"
{"0010010101000111001111000011011110111100110001","0000100000100000101000011100111111000000100110","1111010000000100100010010100111000111010100100","0101001000101010011011001100101001010001001110","0011011011001011101111101001111011011100101010","0101011011001011110111011100001100010110101111","0010000011011000111101111111011100011011100010"}

Returns: "NO"
{"00010111100110001000111111111101111101010100011","01111110111001100010111010011111001011001111011","11100011011010111010000010101100101001110001011","00011000001001011011101001110010100101111011100","01101010101100111100011100110111010111000001010","11111011010100100100110100110001000111011100111","01110010000000010101010100011110000110011000101","11010101010011001111000101100011111000010101011","00010110001000010000111000001001011000111110111","00000011000011111010011010011000101001110111111","11011011101110111000110100101010101010110100110","01110110001000101010111100101100001111000001111","10001110100010010101000110110001110110100110100","10001010111001101101001010010101000100110000110","00101111110111001001001101001111010011111000010","01011001111001100011101101100110000000001000000","11101101000100011001100010001110001101101100100","10110010100110101001111110101110101100001000100","10000011101001001110111100110010010010000011111","01100111001100010110111001111011101100111000111","00010000111000000101101101110011110100010001100","10101110011100101000100111010010010100011111100","11100111100010101001101110000011100011101100000"}

Returns: "YES"
{"100001101001101111011101110011011101000011110","101101011101111100100111110101000101011101001","011100000010101100100001101000111100101001000","100000000000001100000011100110010001110010110","111001101011110100111110011010011111111110011","101011100001001110010000001001101011000010001","101011111101010010000010110111111010001011001","111001000001011001011000110010100111000001110","100001010011110110011001100010111101101100000","011001111110000111000111101010111011110010110","001000100101001100001100110010011001000000010","100010000101101010111011101010100000100110110","100010010100011001000100001101011010111010000","110011100110101100000011001101010101011000010","011100100001011011010011110011011111000111001","011111110001100110010010100001111011110000111","000111100101011000000111110000000111111101101","010110111100100111011011000001011001100100101","100011000001011110010011100100011111100111010","111111001000001001000110011011101000111100101","110111010000110011010100111010111000100001001","110101100010100000111111111110111100001001101","111011100000100101101110000010011101010000110","011011000111010001111110011111001010011001010","110101100111000010110101110011110110100111000","111101010010110010000110101011011111100011011","100101111100010100100111001010000110101010010","000111101000001000110001011010101000010010000","010110101111101010001111100101010011101110011","101100010001100100010001110101110100011000001","000000110001101110111001101111110110011100110","101100100000101101011111100100001110000000000","010111010001111001110111011001011110001001101","001011101111101000011111011000101101011011011","010100110111101011011101110000010001111110000","100011100000110000000100110000101010010001111","110000010100110001101100100001110001011001101","100100011000111111101011001110001111100000010","111100110011101110000011001001001011001110010","100111010001101111011100011100000011000010110","101000010001011101000110000000111010110000101","010100011001101110011001101111110011101110000","101010011011001101010010010110111101000010110","001001100011011001000110101111000100101010001","101010100111011000011001101111110101111011110","001011110010001111000100101010100000100110001","100000010100000011110000011010010110011001100"}

Returns: "YES"
{"1000100101011011101100000010101110","1101110111100011011101001110011001","1101001111110110010100001110111001","0011001110000101011101000000011110","1110000101101101010010010110111011","0001001000101010100111010011110001","0000111111100111010101101011001011","0111011101001101101100101111110010","0000001110111010000010101111011001","0101011111110000000011000010011111","1010100101010001011101110110101000","0001011100000000000010100001111110","0101000101001010000001000100010110","1100001101011100110010111010011111","0111110010000101001001010010111001","0110000101110110110001110010101011","1111001001001111111110001101100011","0001110001001010110001010010000001","0101110011010000000111011101010000","1000010011110011101001101101110101","0001110000000110110010011111010111","1000000011101010001010000010000000","0111110011101101101111110100111011","0001111001110000010011001010011110","0100110100001010001101100101100111","0011101110110101101101110100111001","1010011001011011101110001000001011","0000101110110101101101111100111010","1111101101011101101000111000000011","0011000111110100100001111101101110","0011110100011101001010000001001111","0001101110110111000010111011010001","1000101001100110011101001010111111","0101000110101110011011000101011111","0100101100100110101110010011100111","1101010100111111110010011000110010","1001101110010111001010110110101001","1010000010101010000111000010011110","1011001100110000111111101010100001","1011011000101000011110101111011010","0111110110010111010100110000100111","1110001000111110001111001101101100","1111100101110011010010001010001101","1000001011100000101000111111110111","0101110001010101011110010010011011","1100111011000101101011101001001100","1000111001110100110111110010000011","1101011000011000111010010001101110","1010100010101000100100001100111011"}

Returns: "YES"
{"011001100000110010101011010010","001100010110011000000111111010","111001101101010000101111100011","001010001000100011010101011001","100101111101110100101111011001","101011100101010011010000101110","101110101111111111011110011111","111111100111100111100001101100","100110110100010000111010000010","111110000000011001111011100101","011001000001110110000111011011","001101001101010011000000111011","111100110110001111010010101101","011110111000110110010111011011","100011111001111101111000100101","010100001101110100111111001101","001010000111010011111111110010","110000101111100000011101010000","111000000010010110111101100001","101110010001010000011001001010","110110101111111111111011001111","110011111100011111010010100100","011010000110101101111111001111","001000001011011101101001001110","010001010010000111110011010000","011100011000000010100010101001","011111011010101010010000001110","111010110100101101001100111110","101011111101000000000011100100","011101101001011000000010000000","011000000001011010001001010000","110011001000011100001000000011","100010010011111001001111010011","001010111101110110101010110110","111010001110110100100101011010","011001011101011010010001101000","110111001110001101001111100010","110111000100101101000000100100","011001100100101010110101000111","101110001110111011001011101110","111111000011011111000101100011","111101100100110000101000010010","101110100110011001000100101110","101100000000011100011110110111","110100100100000110000011000101","101001100101011010011010100101","011010111011011010111011111001"}

Returns: "YES"
{"111110110001","110110110111","111101000101","101001100011","111000011111","100001110010","111011100111","100101010001","110001001000","000100101011","010100011001","101011000001","001100101010","100010010010","111101101110","110100100110","000010011100","010111110000","001010100001","101011011000","101001011001","110010011111","010111111100","101000111110","100100011000","101001101001","011000011110","101110101011","100001010110","101000010110","010000101010","101110101101","111101000010","011011000010","100010111111","010011011111","001101111000","110000011000","111110100100","010000001011","100110010110","111101001010","101010011010","010111000000","111110111000","001000001111","110001110101","000011011010"}

Returns: "YES"
{"1011101010100011","0101011010101001","1100001001100001","1001111111101000","1100111100011010","0111101111100010","1010001000010000","1101011111000110","0111100101000010","0011111010001010","0000101100111001","1101111001000100","0111000111001011","0100010111101000","0001001111100011","0011010000001100","0101111101111011","1100111101111110","1010011101001110","0011101110100100","1101010111110000","1010011000001110","0111101100110111","0000100100000110","0011110010011100","1100110101111110","1101100010101111","1101101000011000","0101001010010001","0111100100011000","1101010000111111","1001101010011100","1101111100010010","1001111100101101","0100001101000101","1111111001100111","0010010100111010","0001010010010001","1000010110001110","0111111010101111","0111100110100100","0100100011010101","1001111011111110","0000110001111011","0100100111100000","1100111101000011","1100100100100010","0000011010111111","1000101100010101"}

Returns: "YES"
{"1010100100010001100000111111","0101000000111010101100010011","0101100100010001011101111100","1100001000111000011100000011","1101010111011011001110011011","0000101111101110000000010101","0111110011111100111001010110","0110101001001110100111101010","0000100111011110011010100100","1110001000101110000100011111","1101000011111000110101001010","1001101101001100100000000100","0001100011001001001001110000","1011011000001011001100010100","0001010001000101110010010010","1111011100100100101111001011","0000100010000011111100101100","0111110101101011100011001001","1010010111101111001100111010","0101110010001000010010111111","1111010100111111100100010111","0010000101011011110001110001","1001110010010001100101100110","1001011011111001000111000101","1111011110011110101110101111","0100100110101000000000110011","1001010011111000001101000001","0011011101000011100110111101","1111101100011110101101111000","0110110010001001101000011010","1001100000001010101111110101","1111001011110011010000000100","0101000010011010101100101100","0001010101100111100001000111","1010100100011111011111000011","1111001111011111111011110000","0110011100100001100011000111","1100000101011010111010111010","1010111001011110110100001101","0001011011000110100010000100","0010100101001110010100010011","0101000101110010010000010000","0110101000011111011000111001","0101000011101101001100000100","1001101110011000110001010011","0111000010001110111101101011","0101111101011010100110101000","1011101010011001001101100000","0110100111000101000111110010"}

Returns: "YES"
{"0101000101110111100000001110100100001111011","0000001101110100000001110001010101000101000","0101110000101100001101000101111110110010111","1101011010010011110000001101011111100010111","0100110000011001100010100111110110000100010","1010010111111111001111111110000000100001011","0001001111001001010101011110111010001111101","1011001010010110110110001110001001010100001","0001100010001000111000010011011010010011110","1111001101001111110100011011111111001010100","0011110110110111011111100000111011111000011","0011010111100111011100010101101010010111001","0100000001010111111011110110101010001000100","1110010011001000000010100110100100010101110","0010010000101111001100100001000101111110000","1110100010011100010101100110100000000111001","1010001000000100110010110001001100011000001","1000111111101001101101110010010100000100111","0010011001001110010100000111011110000011110","0100010101111110011101010111011001110011011","0100000101011110011111101111111110001011111","1010011110000111010100110111000001011100011","1111110111011111100101000111000001111111111","0011010010111101101110011010011101101111001","1100001101001111110010100101000000011010101","1010110110010100110100000010000110011110101","0111110110111110101101100011101110000111110","0111010000011100010001000110111011100111111","0000100100100010001001111100000101100110010","1111110111010101000101101001110010001111010","1011111000001110001000111010111011111001100","1011101001110011111001111101001111110101001","1010101011010010100000001010001001100101111","1100010111011000000100100001101000000111011","0000111000001100101101011110011001001111001","0111111010010100001101001001000101010111110","1000100001010100001111000000110110000111001","0001000000101001101001101001101100101101100","0001001100000011001111101100000000101110000","1001101001001010001101111000101101111001011","1100111110010000011010100011001100000111010","1001111100100000101111010101011011001111101","0110000110110100101010010011110100001001010","1101111000011111011000111001110100101101110","1100010100100111001111001101011100110111000","0110101001110100110111001100101110111011001","0101100110101110110101011101000100010000111","1001100110100101110111001001001101100011010","0110010000011001101011101101000000110100011","1100101101110010110101111100100100101111111"}

Returns: "YES"
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Returns: "YES"
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Returns: "YES"
{"010110","100110","110010","111001","101111","110101","011100","101010","010011","111001","101100","011000","001100","101011","111111","100010","011111","010010","111010","010000","110011","101000","101111","001011","111010","111101","110000","100110","100010","111100","001010","111011","101100","011100","000001","101000","011000","011001","001000","011101","101011","011101","001011","001111","100111","111110","010000","110111","011011"}

Returns: "YES"
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Returns: "NO"
{"11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111"}

Returns: "NO"
{"00111010110101110101111000001","00101010110101110001111000000","00101010110001110101111000110","00111010110101110101111100100","00101010110101110101111100001","00111010110101110101111100011","00111010110101110001111000110","00111010110101110101111100000","00111010110001110101111000110","00111010110101110101111000000","11101010110001110101111100000","00101010110101110100111000110","00111010110101110001111000101","00101010110101110101111100110","00111010110001110101111000010","10111010110101110101111100000","00101010110101110101111000000","00111010110101110101111000110","00111010110101110101111000001","00111010110101110001111000100","10101010110101110101111000010","00101010110001110100111000100","00111010110101110101111000011","00101110111101110101111100001","00111010110101110101111100100","00111010110101110101111010001","00111010110001110101101100001","10111010110101110101111100111","00111010110101110101111000000","00111010110001110101111000110","00111010110101110101111000000","00111010110101110101111000101","00101010110001111101111100000","00111010110101110101111101111","00111010110001110101101100000","00101010110101110101111000000","00101011110101110111111000000","00101010110111110001111100010","10101010110101110101101100100"}

Returns: "NO"
{"01010100001001010","01110100011001011","01010100111001011","01010100011001010","01010100001001010","01010100001001010","01010100101001011","01010101001001010","01010100001001010","01010100011011010","01010100011001010","01010100001001011","01010100001001011","11010100001101010","01010100011001011","01010100011001010","01010100001011010","01010100011001010","01010100011001110","01010100101001010","01010100001001010","01010100111001011","01010000011001011","01011100001001010","01010100101011010","11010100011001010","11010110001011010","01010100001011011","01010100011001011","01010100111001010"}

Returns: "NO"
{"0001000110001011000010000000100010","0001100111001111000010000000110010","0001101110001111001010000110100010","0001000111001111010011100000100010","0001101111001111000010000101110010","0101011110001111001010000111100010","0001100111001111001010000110110010","0001100111001111001010000110100010","0001000110001111000010000110100010","0001100111001111001010010111110011","0001000110111011001010010000100010","0001000111001111001010010110110010","0001001111001110000010000110100010","0001101110001111001110000111100010","0001001111001011000011000001110010","0001100110001111001010000000100010","1001100110001111001010010100100010","0001100110001111001010000000100110","0001000111001111000010000000110010","0001000111001111000010000110100010","0001000111001111000010001000111010","0001101111001111001010010110100010","0001000111001111001010000101100010","0001000110001111000010000101110010","0001101111001111000010000110110010","0001101111001111000011000111110010","0001101111001111000010010111100010","0001100110001111001010010110100010","0001101111001111001010010000100010","0001001111001111100010010110100010","0001100110001111001010000111100010","0001001110001111000010000000110010","0001000110001111000010000011100010","0001000110001111000010000110100010","0001000110001111001010010110100010","0001000111001111000010000001100010","0001101110001111001011000001110010","0011100101001011000010000111110010","0001001111001111000011000111110010","0001001110001111001010010000110010","0001101111001111001010000001100010","0001000111001111000010010010100010","0001001111001111000011000110100010","0001000110001011001010000100110010"}

Returns: "NO"
{"1011111010101110001001110000101000110000111100001","1011111011100110001001010000101001110001111001101","1111111000101110001111010000101001100001111001001","0011111000101110101101010000101001100001111100001","0011111101101110000001010000101001100011111100001","1011111001100110001011110000101011100011110101101","0011111101101110001101100000101001100001111100101","1011111101101110001001010000101001110001111000001","1011111011101110100011110000101001100000111000001","1011111011100110001101110000101001100000111000001","1011111010100110001101110000101001100001111100011","1111111110100110001001110000101000110001111100001","1011111110101110101101010000101001110001111000001","1011111010100110001011111000101001100000110101001","1011111111100110001001010000101001100101111100001","1011011000101110000001110000101011100011111100001","0111011010101110101011110000101001100011111100001","1011111010101110001001110000111011100001111101001","1011111010111111001111110000101001100001111100101","1011111010100110010001010000101001100001111100001","1011111110101110001101010000101001100001110100101","0011111010101110001001010000101001100011111101001","1111111010100110101111010000101001100001111100001","1011111010101110001111010000101001100000011100001","1011111010101110001011010100101011101001111000101","1011111010101110000011010000101000100001111101001","1011111011101110001001010000101001100001111000101","0011111010101110001111010000101001100001111000101","0011111100101110001001000000101001100001110101001","0011111010101110001101010001101001110001111101001","0011111001100110001111110000101101100001111000001","1011111001101110001101110000101001100001111010001","1111111110101110101111010010101011110011011100101","0011111001100110001001010000101000100001110001101","1011111010100110101111010000101001100001111001101","1111111010100110101101010000101001100001111101101","0011111010101110000011010000101001100001111001101","0011111001100110100101110000101001100001011100101","1011111010101110001101010000101001100001111101101"}

Returns: "NO"
{"00011110100001100001100001","00011110100001011001111001","00011110100000000001101111","01011110100001101001101101","01010110101001100001101101","00111100100100101001101101","00010100000100000001110101","00110101100000000001101101","10010110100000100101101101","00011110100001000101101101","01111110100101001001111101","01110110100010001001110001","01011111000001010001111101","00011100110100101001110001","00011110100001001001110101","01110110100101000001110101","01010110100100000001101101","00011100100001100111101101"}

Returns: "NO"
{"111010001101001000010","111111101101001010110","111010111100001010011","110110111100001000010","111010111101001000010","111111111111001000010","110010111101011000010","111010111110001100010","111010111110000000010","111110111100011000010","110110111100001000010","111110111101001100011","110110111110001100010","111110111100001000010","111110111101000000010","111010101111101000010","101110111101001000010","111110101111001010010","101010111101001010010","111111001101001000010","110010110100001110010","110110111111001000010","111110111101001000010","111110101100001000010","110010111101001010010","111010111101001000010","111010111101001000010","111110111111001001010","110110111111001000011","111010100101001000010","110110011100001000010","111010111111001010010","111110111111001000011","111110111101001000010","111010011101001000010","111110111101000000010"}

Returns: "NO"
{"00011011010101011111","10000010001101111101","00001011010101010001","01011010000101111001","00010011010101011101","00010010010101011101","00000010010101011011","00011011000101011101","01001010010101011001","01011010000101011111","00000010010101010101","00011110010101011011","00011011000101011111","01010011010101111101","11001010011101011011","10001010010101011101","00000010000101010111","00111011000101110111","01011011001101011101","00000010100101011111","00011011010101011111","01011010000101111101","00001011001101111011","00010011001101011111","01010010010101011101","00011010010111011001","00011010010101011111","11001010000101011111","10000010000101011101","01000011000101011111","00010010001101111111","01011011011101011111","00010010100101011001","00010011000101011101","01010011000101011111","00101010011101111111"}

Returns: "NO"
{"0100010010010001001101011001","0000010010010001000100011001","0100010010010101000101111001","0000010010010001001100001001","0100010010010111000100111001","0100000110010101001100011001","0100010010010101000110011001","0000010010000001000101111001","0000010010010101001100011001","0100010011110001101101011001","0010010011010001000100111001","0001010011010101001100011001","0100010010010011001100011001","0100011011010101000100011001","0100010010010001000101111001","0100010010011101001101011001","0000010010010011001100001001","0100010010011001000100001111","0100010010010001000100111001","0100010010010001000100011001","0100010011010001001101011001","0100010010010001000101011001","0100010011010101001100011001","0100010010010001001100011001","0000110011010101001101011001","0100010011011101001100011001","0100010010010011010100011001","0110010011010101001101011001","0100010010010101001100011001","0000010010010001001100011001","0100010011010101001101001001","0000010010010101000101011001","0000010011010001001101011001","0100010010010001001101011001","1100010010010101000101001001","0100010010010111000100011001","0100010000010001001100001001"}

Returns: "NO"
{"01001011000111001011000110110001111110010110001001","01001011000111000011100110110101101100100110011011","01011011100101001011100110110001111100110110111001","01101011000111000011100110110101111100010110011001","01010111000111101101101110110001101100110110010001","01011011100111000011100110110001011100000110011001","01011011000111001111000110110001011100110111011011","01011001010111001011000110110001001100000110011001","01001011000111100001000110110001011100110110011001","01101001000111101011110110110001111100100111011001","01101011000101000011100110110101111100100110011001","01010011000111000111100110110101011100010110011001","01101011000111001011100110111001011101001110110011","01111001101111001011000110110001011100000111011001","01101011000111001011100110110101001100110110010010","01000011100111001001100110110001111100100110111001","01001011000111001011100110110101011100100110111001","01011011000111010001100100110101101110100110010001","01000011000111101011000110111101101100110110011001","01011011100111001001100110110101011100010110111111","01101001100111000011100110110001011100110110001001","01001011100111001011100100110001011100010110111000","01011011100111001011000110110001011100010111011001","11011001100101001011100110111101001110010110111001","01001011000101000011100110111101011100110110111001","01000011000111000011100110110001011100000110011001","01000011000111001011100100111001011100110110111001","01001011000111001011100110110011111100110110011001","01011011000111001011100111110001101110010110011011","01001011000111101111100110110001011100000110111101","01101011000111000011100110110101111100010111001001","01111011000101000011100110110101001100110110011001","01101011000111001011100110110001011100010110111001","01101011000101001111100110110101011100010110011001","01001111000111000111100110110101011100010110011001","01011011000111100011100100110101111100100110011001","01010011100101001111100110110001011100100110011001","01000011000111000011100110110001111100010110110011","01011001000111001011100110110001011100000110011001","01010001000111001111100110110101011100010110011001","01011111000111001111100110110101111110010110111001","01110011100111001111000100110001001100010110111001","01100011000111001011100110110101011100010110111001"}

Returns: "NO"
{"111000000011001001100101101100100","111000000111000001110101101110110","111010000011000001110101101100100","111011000000001001100001101000010","111001000011000101101101111110110","111011000001001001110101101100110","111001000111001001110001101110110","111000000011000001100100101100100","111010001111001001110101111101110","111000000111001011110111111100111","111001010110000001100101101100100","111010000111000101110000101110110","111101000101010101100100101110100","111011000111001001100001101110100","111011000011000001100101111110100","111000100110100001100101111100110","111000100111001001100100111100100","111011000011000001100100111110100","111001000111000001100101101110100","111000001100000101100001101110110"}

Returns: "NO"
{"001001111001100001011010010110100100101111","101010101011010001010010010110100111101011","001100111001000001011011010100100101111011","101010111001100001011010000100100111101011","001010111010011001011010110100100111111011","000001111101000001011110010110100110111011","000010101000000001010110010100100101100011","111001111001000001011010110111100100101011","110011111000000001010010110110100101111011","100010111001010001010110010111100110101011","101001101001000001010010010101100100100011","101001111000000001011010110111110111011011","000011111001010001011010010101100100101011","000000101000000001011110000110100101101011","101011111000000001011110000101100101111011","101001111000100001011110000100100101101111","100001111011000001010010010100101101101011","010001111011000001010110010110100101111011","101011111000000001010010010100100100101011","101001101011000001010110010100100110001011","100001111000000001011110010100100100111111","011001101000000001011010110100100101101011","101010111000000001011010010111100100111011","001001111001000001010110010111100100101011","000000101001000001011110010101100101110111","100011111000000001011010110111100101101011","000011111000000001011010110111100100101011","000001111001000001010010010100100101001011","111011111001000001011010010100100100101111","001001111000100001010010010110100101111011","000001111001100001011011010100100101111011","101001111011000001011110110110100101100011","101001101000100101011010010110100101101011","101000111001000001011010110100100101101011","011001101010000001010010111101100101101011","100010111011000001010110100100100101100011","001011111001000001011110000101100101101011","110001111001100001010010010100100100001011","000010111001000001011010010100100101101011","001001101011000001011010000111100101111011","001011111001000001011011000111100100111011","000011111001000001011011010100100101101011","100001111011000001011110010110100101101011","010011101001000011011110000110100101101111","101011101001000001111010110110100110100011","001001111011000001011000010111100100101111"}

Returns: "NO"
{"01111101111001101110100","00010101111011111110111","00010101111011111110100","01110100111011111110100","01110101111001111110100","01010100111011111110100","01111100111001001110100","01110100111011111110000","00111100111001111110100","01110001111011011110100","01110100111000111110100","11110001111001101110000","01010001111011011110100","01010101111001011110100","00010100111011111110100","01110101111011111110000","00111000110011101110100","00010101111000101110000","00110101111011111110100","01110110111011111110100","00110101111001101110100","00010100111011111110100","00110100111011101110100","00010101110011011110000","01110101111011111110100","00110101111101111110100","00110101111001111110100","00010101111001111110100","00110001111001101110100","00010101111001111110100","01010100111001111110100","00010000111011101110100","01010101111000111111100","01010101111001111110100","01110101111011101110100"}

Returns: "NO"
{"000001010111110110100110011011101011101101100","000100000011110110010010011010100010101101101","100001010111110010000110011011101110100101101","000101010110111010000110011011100011101111100","000100010101110011000010011011101011101101000","100000000011110010000110011011101111100111101","000000010101110110000110011011101111100101000","000100010111110110000100011011101111100111101","000001010110110110100100011011101111100101001","000100010100110110000100011011101010100111100","000100010111110010000110011011101111100101100","100001011111110010100110011001101111101101101","100101010010110010000010011011101111100111101","000000000100110110000010011011101011100111010","101001010111110110000000111011101111101101000","010000010111110010010110011011101111100111100","100100010101110010010110011011101111100101001","000101010110110010010010011011101011101101100","000111010100110010000110011011101111100111101","000101010100110010000110011011101111101101000","100110110001110010101100011011100111101101101","000101010110110010000110011011101011100101101","000001010011110110000100011011101111101111100","000101010111110010100000011001101111110101101","000001010111110010010001011011100110101101100","000101010110110010010010011010101010100111001","100000010110110010100100011011101011100111101","100011010100110010000010011010101111100101100","000100010101110010010110011001101011100101100","000100000110110110000010011011101111100101101","000001010100110010100010011011101011101111001","100000010110110110010010011011110011100111000","100101010100110010000010011011100111101101100","000111010111110010000010011011101111100111100","100100010111110110000010011110101111100101101","100100010110110010000000011011101111100111101","000001010111110010000110011010101111100101001","000100010111110010010100011001101010100111100","100000010110110110000010011011101111101101001"}

Returns: "NO"
{"0100011111001011","0001011111011011","0000111111001011","0001111111001110","0000111111001011","0110010111101011","0100010111001011","1000111111001011","0000011111101011","0111010111001011","0000111111101011","0100111111001010","0110010111111011","0111110111001010","0000011111001011","0100111111001110","0010110111001111","0100111111001011"}

Returns: "NO"
{"1110011101101101111110","1110011101101101111100","1110011101101101111100","1111011101101101110110","1110111101101101111110","1100111101101101111110","1110011101101101111100","1110011101101101111101","1111111101101101111111","1110111101001101110100","1110011101101101111110","1110011101101101111100","1100011101101101111111","1100111101001101110100","1110111101101101111100","1110111101101101111110","1110111101101101111111","1110011101101101110100","1110111101101101111100","1110011100111101111111","1110111101101101111111","1110111101101101111110","1111111101101101110100","1110111101001101111110","1110011101101101111110","1110111101101101111111","1111011101101101110111","1110111110101101110110","1100111101100101110111","1110011101101101111100","1110111100101101110110","1101111101101101111100","1111111100001101111110","1100111101001101111110","1100111101101101111101","1110111101001101111101","1100111101101101110101","1110111101001111111110","1110011101101101111110","1110011101001101111110","1110011101101101111110","1110011101101101111100","1110011100101101111100","1111111101101101111110"}

Returns: "NO"
{"1000001000000110","0000001100010110","0000001000010110","0110101010010110","0000001000001110","0000001100010111","0110001000010110","0000001000011111","0100001100010111","0010001000010110","0110001101010110","0101001110010111","0010001000010110","1100001000010111","0110001000000111","0000001000010111","1110001000110110","0100001000011110","0110001000010110","0100011100010110"}

Returns: "NO"
{"0100111001111100110111110001001010000101","1000101000111100011111110001011010110111","1000111000111001011111110101111010100111","1000100010101110011111111001011010110101","0100101000111110011111111001001010110101","0100101000111100011111110101011010101111","0000101000111000011111110000001010000111","0000101000111000011101111001011010010101","0000101000111100011111110101001010110111","1000100000111000011101110100011110100111","1100101100111010011111111001001010110101","1100101000111100011111110000011010100111","0000101000101100011101110001101010110101","1111101000111000011101111100011010100101","0000101000111010010111111110011010110101","1100101100111000011111110011011011110111"}

Returns: "NO"
{"111110110110101000001011011010","111110110111101010000011111010","111110010110001111101010000000","111100110101001010100011001010","111110110110101100000010010000","101100110101101111101011100000","111110110111101001110011001100","111100110110101011101010111000","111110110110001000111111100010","111110110110101111101110001010","101110110110001011101011110100","111110110110101011001011111000","111100010110101011101110011110","111110010110001000101010101000","111110110100101000101011011010","111100111100001010101011001100","111110110100001110101110011010","111101110100101000110010111000","111100110111001101111011101010","111110010110011101001010011011","111110010111001011001011100010","111100010110101111100011100110","111110110100001110110011101010","111110010110101111001110011110","111100110110101010010111011010","111100110110001010100011011010","111100010111001110101111001000","111110010100001000101010011010","111110110110001100100011001010","111110010101101001101010101110","111110010110001011111011011000","111100110111011110110011001100"}

Returns: "NO"
{"0101010100110110010010010101","0110110110011000011001010011","0111110111010100011011011111","0111110110010000011011111111","0110110110111100011011010101","0101110110110000011111011111","0101010110110000111011010011","0101110110110100010001010111","1111110100110100010110011101","0111110110110000011010010011","0111010110011000011011011101","0111010110110000011001011011","0110110110010100010011010111","0101010110111000010011011001","0111010100110001011011000111","0110110100111000010111000111","0111110110111000011011000111","0111110100111000011010010001","0100011110110100010010011111","0101010110111000011011010111","0100010100111000011111011111","0100110100110100011010010001"}

Returns: "NO"
{"100111110011111111000110001","100001111011111111000110111","000101110011101111010110101","100001111011101111010110101","101011110011101111011110001","101111111011101111010110001","100011101011101111000111001","101101110011111111011110101","110111111011111111000110101","000111111011101111011010101","100111110011101111001110101","101001110011111111100010101","110011110011101111000010101","100111110011111111010110101","100001111011111111000110101","101101111011111111000011101","101111111011101111000110001","100011111011101111000010101","101011110011111111000110101","000111111111111111010110101"}

Returns: "NO"
{"01010111011111000000110100011000","01010111111111100000111100111000","01010111111111000000110101111000","01000111111111100000110101111000","01010111011111110000111100111010","11000111011111000000110101111010","01110111011111100000110100011000","01000111111111000000110101011000","01000111111111010100111100111000","01011111111111100100100101111010","01010111011111100000100101111000","01010111111111100000101101011000","01100111011111010100111100111000","01110111011111000000100100011011","01010111111111110000110100111000","01010111111111000000110101101011","01010111111111000000111101111000","01010111011111010000100100111000","01010111011111100000110100100000","01010111011111000000100100011000","01110111011111000000111100111001","01000111011111100001100100111000","01000111011111100000110100111010","01000111011111100000110101110010","01010111101111100100110100111010","01110111011111101000110100111010","01010111111111000000110100111000","01000111011111100100111110111010","01100111011111100000110100011000"}

Returns: "NO"
{"010100010110100110100111100110010000110","010101010110100100100011000010000101100","011100010010100110100011000110010000100","010101010110001000100011000110010011100","011101010110001100100111100010010000100","011101010010101100110011100110000001100","010100010010000100110111000110010001100","000101010110101100100111110110000000100","010100010110100100100011100110000001100","110101010110100100101111000110010001100","000100010110100110100111000110010000110","010100010010000110100011100110001000100","010100011010000110100111100110010000001","000100010010100101100011101110000011110","010100010010100100100011100110010001100","010110011010100110110111100110000001100","000100010110110110100011000110000011100","000100011010001000100111100110000001100","000101010110000010100011100110000001100","000101010111100110100111100110010000100","001100110110100100100111100110110000100"}

Returns: "NO"
{"10000010111110111000110110111100100100001011","10000010110010110000110110011100100101011101","10001010111011111000110111011101101101001011","10001010110000110000110010111101100101011001","11000011110100111000110010111101101101011011","11011010110000111000110110011111100101011011","10000011110000111000110110111100101100011011","10000010110100110000110111111100100101001001","11001010110000110000110010111101101101001101","11000010110000110000110010111101100101001001","11000011110000111000110010011101101101011101","11000010110110111000110111111101101100001001","10000010111000110000110111111100101101001001","10000010110100110000110010011101100111011001","11000010111010111000110110111100101100001001","11000010110010110100110011011100100101001011","10001011111100110000110010111100101100001001","11001010110000110000110111110001101101011101","10001011110000110001110111011100101110011011","11001010110000111000111110111100111100001011","10100010110100110000110010111101101100001001","11000010111100110000110111111100101100001011","10001010110100110000110110111100101100001111","10001110111010111000110110111100100101011011","10000010110100110000110111011100100111011001","11000010110110111000110110111100101101001001","10000010110000111000110110011101101100011001","11000010110010111000110010111001101101001011","10000010110110111000110110111101101100001001"}

Returns: "NO"
{"11000111110000000111000010110111","11011111110010010111000010000101","11010111111010110111001010100111","11000111110010010111000110100111","11010111111010010111011010100111","11010111111010010111000010111011","11110111101000010111000010100111","11010111111010010111000010010101","11010111111000010111000010111001","11010111111011011111000010010111","11010111111000010110000010110111","11010111110000010111001011011111","11010111110010000111000010110111","11010110101110010111000010010101","11010111101010010111000010110111","11110111110010000111001010111101"}

Returns: "NO"
{"1101110110010100001","1101110110011000001","1101101110001000001","1101111110001001001","1101101110011000001","1101111110011000001","1101111110001000001","1101101111011000001","1101100110000000001","1101111110001001001","1101110110011000001","1101100110010001001","1101111110001001001","1101111100011000001","1101111111001000001","0111100100001000001","1101110110001000011","1101101110001000001","1101100110001000001","0101110110001000001","1101100110011001001","1101100111011000001","1101111110011000001","1101111111001000101","1101101110011000001","1101111100011000001","0101100110001000001","1101111110001001001","1101100110011001001","1101111110011000001","1101110110001000001","0101101100010000001","1101111110011001001","1101101100001000001"}

Returns: "NO"
{"000000011100000000001000111001","000000011100110001001000111101","001000001110110100101000111101","001000011101100100001100111101","000110011110011000001000111101","001110011111101001001000110111","001100011101010100001001111101","001100000101011000001000111101","001100001110111100001010111101","000000011100100001011000111011","000000000101111100001000111001","000110011111011101001010101001","000100001100110100001000111011","000100011101011100011000101111","000000010100011001001000111011","000000001101011100001010111001","001000001101110101001000101001","001010011100011101011000111011","000111010100110000001000111101","000000000111010100001000111101","001110100100110100001000111001","000100001111011100011010101101","001110001100110100001000111001","001000001100010001001000110001","001110001101011101001010111101","000110010100111100001000111011","001110000100111100001000111101","001000011100010101001000111101","000100010101011100001000110001","000000001101011101001000111111","001000011100010101001010111101","001100000101111000001000111011","000100001100011100001010111011","001010000100111111001000111001","000000000110011000011000101011","000000010111110001001000111011","011010001111011101001000110001","001110001100111101001000111011","000010001100011100001000111111","001000010100011100001000111001","000010000100010100001010111011","001010001100011001001010111101"}

Returns: "NO"
{"1000111110000110100011011000110000100","1000111111001101100111011010110001100","1100111110000100100111011011110001100","1000111110000110100101011010110001000","1100111110000111100011111010110000000","1100111110000111100111111010110000110","1000111110000101100001011000110001100","1101111110000100101111011000110000000","1000111110000110100011111000110000100","1100111110000101100001011000110111000","1100111110000100100111111000110001100","1000111110000100100001011000110101010","1000111110000100100101111000110000100","1010111110000100100011011010110000000","1100111110000100100011011000110000000","1000111110000111100011111110110100100","1000111110000100100101011000110100001","1000111110000101100011011010110101000","1100111110000110100011011000110100000","1000111110000111100111111000110000100","1100111110000111100011111000110001000","0100111110000000100001011000110100101","1100111110000100100001111000110000000","1100111110000100100011111000110000011","1100111110100100110011111010110001110"}

Returns: "NO"
{"000110100101001000011110000001010010000110","000110110001001000111100010001010000001111","000100100100001010111100010001010000001111","001110100001001111111111000001010000101111","000100100000001010110111000001010000001110","000110100100001111110010000011010000100111","000100100100001111111111000011010000001110","000100110010000110110100110011010000101111","000110110000000001110111000001010010001110","000110100001000101110100000011010001101111","000100100001001000111010000001010000001110","000110110001001110011111000011010000101110","000110100000001011010101000011010000101111","000111100101001100111000000011010000101111","000111100101001010110010000001010000101111","000100110000000100111011000001010000101111","000101100000001110110110000001010000001111","000110100001001010110011000011010000100101","000100100000001010111100000001010010101110","000100110001000010111111010101010000001110","000110100001001011111100000001010000101110","000111100000001010111101000001010000100111","000100100100000001111100000011010000001111","000100100100000010111101000011010000101111","000111100001001110111111000011010000101111","000100101101011011011111000001010010101110","000101100000001011010001000001010010001110","000100100000000101110111000011010000001111","000111100000001000011001000001110010101111","010111100001000000110110000001010010101111","000111110000000011110000000001010100101100","000100110001000010111110000011010000001111","000110100101001010110101000011010000101111","000100100000001001110110010011010000001111","000110110101001110111110001001010000000111","000110100001001111010101000011010000100111","100100110000001011110100000001010000111111","000100110000001000110100000011010000100111","000110100000001010111101000011010000101111","000110110000001010110111010001010000001111"}

Returns: "NO"
{"11000101010010000111000111110001110","10011111010010000101000101110000110","11010111010110000100100101110000111","11111111010010000100000101110100011","10011111011010000111001101110011100","10111111010110000111000101110001010","11011111011010000100000111110000100","11011111011010000111010101110011010","10011111010010001111000101110001110","10011111000010000111000101111010110","11110111000010000110000101111101110","11111101000010000101000101110010010","10111111011010000100000101110100010","10011111010010000101000101110111110","10011111010010000101000101110001101","10111101010011000101000111110000110","11101101010010000101000101111010110","11010111010010000001000101110010100","11001101011010010111000111110000110","10111111011110000101000101110011111","10011111010011000101000101110111110","10111111010010000101000101110010010","10101111010011100101000101110010110","10010111000011000111000101111010110","10111111010010000011000111110101110"}

Returns: "NO"
{"1001110010001001001011001011001001","1001110010101011011111001011001001","1001111010101001001011001011001001","1011110000001001101111001011001001","1001111000011001101010001011001011","1001111011001001001111001011001001","1001111010001001001011001011001001","1001110000111001001011001011001001","1001111010101101001111001011001001","1001111010001001101110001011001001","1001110010001011001111001111001001","1001111010001001101011001011001001","1001111000011001001111001011001001","1001110010001001101011011011001001","1001111010001001101111001011001001","1001110010111001001111001011001001","1001111011001001001111001011001001","1101111000001001101110001011001001","1001110010101001101110001011001001","1001111110001011001111001011000001","1001111000111001001011001011001001","1101111010111011101111001011001001","1001111010001011101111001011000001","1001111011001001001011001011001001","1001110010011001101111001011001001","1001110010011001101011001011101001","1001111010101001101011001011001001","1001111010011011001111001011001001","1001110010101001101011001011001001","1001110010011001001011001011011001","1001111010001001101111001011000001","1001110010011001001111001011001101","1001111011001001001011001011001001","1001111011011001001011001011001001","1001111000001001001111001011001001","1001110010001001001111001011001001","1011111000001001101111001011001001"}

Returns: "NO"
{"11111" }

Returns: "NO"
{"0", "0", "1" }

Returns: "NO"
{"1", "0", "0" }

Returns: "NO"
{"1", "1", "1", "1" }

Returns: "NO"
{"0", "1" }

Returns: "NO"
{"1", "0", "0", "0" }

Returns: "NO"
{"1", "1", "1" }

Returns: "NO"
{"1", "1" }

Returns: "NO"
{"0", "1", "1" }

Returns: "YES"
{"101001011", "111011010", "110110010", "111010100", "111111111" }

Returns: "NO"
{"000", "111", "111" }

Returns: "YES"
{"11111", "11111", "11111", "11111", "11111" }

Returns: "NO"
{"101001011", "011011010", "010110010", "111010100", "111111111" }

Returns: "YES"
{"001", "010", "100" }

Returns: "NO"
{"10", "01" }

Returns: "NO"
{"1", "0", "1" }

Returns: "YES"
{"1", "0" }

Returns: "NO"
{"0", "1", "0", "0" }

Returns: "NO"
{"0", "1", "0" }

Returns: "NO"
{"111", "011", "010" }

Returns: "NO"
{"1", "0", "1", "0" }

Returns: "YES"
{"01", "10" }

Returns: "NO"
{"111", "111", "111" }

Returns: "NO"
{"0", "0", "0", "1" }

Returns: "NO"
{"111", "000", "000" }

Returns: "NO"
{"10", "00", "00", "01" }

Returns: "NO"
{"111", "111", "111", "111" }

Returns: "NO"
{"1", "1", "0" }

Returns: "YES"
{"010", "111", "100" }

Returns: "NO"
{"0", "0", "1", "0" }

Returns: "NO"
{"11", "11", "11" }

Returns: "NO"
{"000", "111" }

Returns: "NO"
{"010", "101" }

Returns: "NO"
{"001", "110" }

Returns: "NO"
{"101", "010" }

Returns: "NO"
{"1", "1", "0", "1" }

Returns: "YES"
{"101010101010", "010101010101" }

Returns: "NO"
{"111", "111" }

Returns: "NO"
{"000", "111", "000" }

Returns: "NO"
{"010", "011", "111", "101" }

Returns: "YES"
{"111111000000", "000001010101", "110101010101", "011101101010", "100010010101" }

Returns: "NO"

Statistics

Problem Statement for "TheDeviceDiv2"

Problem Statement

Definition

Constraints

Examples