题目描述
Given two binary numbers A,B i.e., numbers containing only zero or one. Let the i th bit of A and i th bit of B differ by d. We need to form a binary number C such that the i th bit of C = 1 if 2^d is even, else it should be 0.
Input :
First line contains the number of test cases T
For each test case, 2 lines containing A and B respectively
Constraints :
1 ≤ T ≤ 100000
Both A, B are of same length.
Don't ignore leading zeros.
A, B have at most 100 bits
You can view the editorial to this problem here!
SAMPLE INPUT
2
111
000
000
111
SAMPLE OUTPUT
111
111
输入格式
见题面
输出格式
见题面
样例输入
1000
10100011001101000101001010110011011010111001011000100011100100001
00001110110000001101000001000010010100101101110000000001001001000
1101110
1100100
0001011001011001010101110101
0010111100001000100110011100
01110101111110100110101100110101
01011000101100100001011010111001
00001001011001
00100010111001
1110101000
0110101111
1010100101011001101100011000111010000110011100010111110000011100100011000010000011110110100010
0100101100110110011100110010110101011101100010011011000000111111010100000100101000100111100011
00111001011001000010101001001001010110001101
10111010110100110101110011010101100000011001
01111000110011001001000011110100001100011010101001001010100110110111110010000100000001000011111100
01111011011011111110110101011011100001100011001110111001101000011011000011011100101001111001100001
001110101000101101000100000000110101111111100010110000000001000010101010000011000101101010
110101111001001000101111010011000010100000100100110000011010110111001001001011000010011110
01110010111011110010001100
00111101111011001111111000
111011100111001010001010110110001100001
010010111101001110101101010010101100111
01001110101011011000010110101011000111010111011111010001110001001011110101
11100010011010010000000110111100010101101000001101101000011100011001011100
000111111111101011000100111011100111000110100011111101111110000010
100010000001011111101010001100100100100001100001010111111000110110
00000101101100111010011000
00101001000010101100110000
100100
101101
11001110010111111100110101011110111000101100011001011001111100111001011001011011111011010101110000
10100001111000111011110101111110110010101000011110010000111001000101111111110011110101110101001011
100011101110011110100001010001111110
001100101000011111010111000010010100
111010001110001110110100011111100101111000000111110000001100111101110011101111110110011111000
111000110000111000001101010110101010101101110001101011110100100101111001111101011111010101101
111010010111010101010101010111000101001010111101010101000011111111111010001110011001101100011110
001100100111111011110000010101011101001010001100011010111101000101001100100010001000011101000110
1010011111010000100011101100100001110001000010000001110010101101110
1001011000000000100110011011111010111111111111101110001101010011010
01010101001010010010111111010000101111001101
10000101100010010011100010011001101101111110
11000010010101001111011000110011101000000010100010001101010010110110110
10011000100111101101001100001011010110100101111000010101111010111000001
110000110100001111101111101100011100111101101111001111001001000010
001111011100001010101001101101001111110010110011001101010010111000
10101110110110011010011000111000000111
11010000110010011010100010011111010010
011110101111100110100011111100011000010100010001
111101010100111111110001000011100010111100001110
0110100110001000111001101110011001111110010101110100011100100100
0101110100001001100111011111010010001011010010100111010011110101
0100000000100001110110001101100111101001
0110110100010011110111010011010001100110
1111000111100000110010001000101010111000110110101100010110010111010110100101
1100100110010000011001111001101011001011000000001100011111101001101001101101
001101100110001000110111100001011100000011011010001010100111110000000001
010111111001111110001001111110111110101011101110100100011011000111100011
01110110101100101
00101100101011100
011101010000001
110011010001101
001101111001000111000
010011010000110011111
1010100000101111011010011110001101101000
0101000111110101011001100101101100100111
10101010110011001010100110110101111010
10011101101001000000101110011110111000
1
0
10000100111000001111100111110100110100111011
11101010001110011110011011101010101000110001
110001000011101111000101011001
110010110110100011111000101011
001010100110010000101101011100001010001010110110
110101010100000101100011101110111000101101101110
0011100111100010011000011011110011111101011010110000100011100101010001100010001001110101
0110101110101001011111100010111111101110110011100110000011101000110001110110010101101100
111011101011101001111010110
010011010101100010100111010
0110110010110101001110111010111110101000010000101000111000010111101101110110011111
1000101101110011100110000011110011101001110110010001001011000011100100011100101101
00101001010000010001111101111011000110111110011011000100111010001010001001000
10010010001111101111010100110101100000010101011000111100111101111110111101111
111000000110111011101100001110000110111000010111011101100101100111000100100101000000111101101
110010001001011000000111010100011011011111101001001010011001000101010000110000100010111010010
01010010000010000111100001000111010011001000011100010110001110011010110001100010001
01001010110000111110101101101111001101000001100011000110001110010011111111001010010
10010110011010101001001110010011010111111010111011111110111110000111000101010
10001110000111100101011011001010010101011001111101000001111010011000101101001
11000000111010111010000111
11100010010001110001111010
010100000001111111111110101101001111
110110001001110001011111111000111111
111110000011
000010111110
11000110011010001101001010101110110100111110100011111011011000011110101010000100001101010
01001000101111110101001010001101011011001010100100000101000100001100110010100100100100001
11111000111100110000011101101010101101111011000000111001111000010101010
11101000001111100100100011101001001100100000110100111100010010110010001
1110010101011011111110001101010101111101100011
1001111010100110000011110010001011100000100111
011000110010011000111011111010110110100001010011
010111001100011000000001100001110101011101101001
1111101001010101011111100011011100100000100
1000011100011000111000100101001101100111100
000100000100101100111010111111111011011001011010001000001
110000101100000010111111011111000101101010010011010100011
011010101000010001100111111100101111101011010100010001111011100011101000110
100001001001100010000110101110110110010010101110110110000111110101111110001
1010100000001010101110001111100000110100100001
0111111110100000100000100000010001110010000001
1111100100010110101111010010
0010011110110101011101010000
11100101010000110010110011101100010100010110100101100100010110010000111101111
10010011010011101000101000011101100101111110000000011111110000101111100011001
00101011100101001110001100010000010101011110010101100010101101001011000111110100111100
11010000011001010100011010101111010100100000101010011110011100011001110100111110110011
1010111011000101111100001001101
0010101111101101010110001000101
1010110001010101000000010011110010001011010001111010011111000101110011
1101010100110001110100000110111001000000011011001001101101110000101001
100101100001111010100
100001010101111011110
011001101010011100001100111001100000011110111100100010011111101111010
101101011000101100110000001100011101000010000110001010010000001101001
0000000000000100000101110101011000100101111101111001110110011011000
0101010101110111001111001000000001000000011000001110111011011101000
001010111110000101110010111111111000111000001001010011000011111111100100100010110011100001110000100
111101010001001001001110001011010100101110110010110010010111010011101010000101111010001010101000110
00100111010110110011001000011101110101000101110101000000010100111101011101011101001000101101110
00010101100011001110111000011111100110110111001111100001000110000001110100100011111010100110100
0011111110110100000101100100111110110001001011011001100010001111000000
1000110101011111101101110100100011100111010111001001110100111110000111
0101010000011110101010011010000010111101100001011100001100101100100
0101101100000100100000111010110110000111011011001011100010001000000
00001100001110000101110010
10011011010010101001010001
001011100101
011001110111
00011111000111
10100011000100
0110101101101110011101010111110110100110010101001111100111001100
1101000010010011110010101000100001101110011010101110100001111111
1010110000111100011110101100011110000000111010111000001111010110110111000
1111010011110001001111100011001011110011101111011110100100010111000001010
010000010111001011100000011001110011010000100001101101100111000101001011000010
100000011000110101101000111110010010110000011011101100111010011111100100000111
01011010111000110000101101110001110011111011100110100010010010111011100011101110000010
11111011111100101010000110010111000110001111011110100111111000101000000100001110100100
1101001011011100100111010001000010111000100010000011110100
1001000011011001011101110111011110100101001101110000010001
10
10
111101000100011111111101010001010101111101110100011111111101001111000111110100101100010100
110001100011100100111001110100111111011011001011101001110101110100011010110001011111001111
010110001001111110101011110
001010000100000010111000111
010010000010111001011101111100101001001000100000101
110011101111111011101011011001111110000101011110000
011001010001101001101010100011010101000100000001111011011110010
000110101001001100100011100001001000010111001111000001101101001
0100100010010000000111100110111101110101000001011001111101
1100000100101100111100101011110000000010000011000110100101
10010000001110111010001010000100101101110101110
00100101001101100000011110101100110100010001111
1110111011110111110101001010011101110101010001111111011101100110010000101001111000
1111010010110100100001001010010001111110101111001001011110110110001110000101101000
0111000101100101101111100100000010010000010010101110010000000111110111110111011101100100001
0100010101000011001100000100111001010001011010111001000010111010011011110011110010100100011
0010100000000101001011010010000001010000000110001000101101001000101111111001
0111111011110101101111000010001010001100011011000111001100100001001101101010
10000110000010110011001
11101001111010110111010
1000
0010
100110101110
000111101010
000101011001101011011101000010011011110010000101000110010110111010000011110100101110000
011001010011010001001011100000011110011100001000100011101100001100100010010011001000111
1101010000000001101111111010100001100000000000101010101001001101001001100100000101100
1000101011010010110110111000100001011010111100111101010110110011100000111001101011111
000011010110110000101000000011001
001100111000010000001001000100110
0000110010111111101110001000110010011010001111001
0110111010100101110101000111011000001100111011100
0000011101011011
0010100001111111
11101010000001100111111001010101110011011001010001101101001001111110010000101101101010110010
00110010010010001000010110000100001001000100100010110111111010010010111101110001010001001100
0110001111000100111001111101100110010111011100101001011101010111111100011101111100001110101110001110
1110010001101101101000111110100011110111001000110010001110000011000010110110101100110000000011111110
10
00
0100000111101101111000101111110100101010100011100001
1110001111110011001100111111110001011100111100000100
110000010000111010111010010011110011010000011011
010111100000111110010100101100001001111111100000
011111
100000
100111000010010011110001101
110100111011110101101110100
110100000011000100000001101001110000010111010110110110000110100100011000000011010000010101110110
011111010011110111100010100101000111111110000101011010011001101100110001000010011111000100001111
001001101101110111111010011110010000
110000100111100001001110111111100001
110101001001100010001
101101110101011111101
1101001
1111001
10001000100
11001101001
1010110100101110110000011001111010101111110101110110101001110
1011101010100011101001100101101001111010101110100010000001011
1100011100111010111001001011101011111001000101010110
0011001010001100101101110101001000101000010000001011
0001111101111101000100110100110100111001010100000011010100111111100000001010100100011001
0110101000100110100000010001101110100110100111100110011011001101111100110111100101100101
0001010101010110011110101100111011110010111001010101111001110010111110101
1000010111000101011011101011111001000001101111010011101000000100010010111
001101111000101101011001010101111
001111011101010111011110101010010
1101010110011001111110101101000111
1001110101101110010111000101000100
10100001110111001111
00110110111010100110
111111010110001011100000100010000111010101111010101101111010010
000011000011100010111000100111110111101100010010001101010001100
100001100110110011
101111100100010100
100101011001000101101001010110011001100110011001111011100110011
101011000001100011111011100100010111010100011000010101011000001
110100000101100110011000100100011011010000000011001101110010010111010011011
010010101000001100111010000101011110101001111001110011111110011100000100011
010100111011101010100100000000101110101110000100100110100100100111110001101110100111101010
010101010010100101111110000000011001100011000110001010001101100000111110000010010010000110
001000111011011101110110010100000000011110011101101110111111111111110001100001
011100110001110000111110000010111001110110001001010000000001100000011000100010
110110111000101101101001110100110011001101011111001100111111100101110000100
011101110101010111101110111101101001010001100011100011101001110000101001111
10100110000100110100110010101001011000000100110100111111101101000100011001110110101000110100000100
10100111110011000001000001100111100101111110111101000100011000110110101010000110100110110010000101
111101
111101
011100001101000010101010100001011101011101000101110011011011000111010100011001011010111001101
010110100101011010111101101011110101111011110111100100010110001010111010100011110000001110110
110000010100110100100101011101010011010110100110101101001101001100010001111111101001000
100000110011001111000110100001011011011110010001101101111011100001110001100100111001100
0111111010111110111
0001110000010101100
1000111101101100000100001010011111010101011111111101101110111111010100010101100011
0111000101010100001011100000111101001001000010111010110110100110001101101111000100
110000110001
000011110001
001001111111100111011000100100010110011100111110011110100
110111111110010100011010101111100000111010011101100001001
1001101100011101110111
0110110000101010110111
1100111111000000001111010100011101000110010010101010
0100000111000001011001101000011001101110100100001110
0000000111100111100100110000100100101110001
0000100010101101011110001011000101111110000
010001011010010110011101011010111101100000
111100101111010101111011101001010100100011
11101000101001100101
11000000101010000000
00110111110010011001100100110100010001110111010110000011
00000010110101010100011111101011010011000010111000001010
001010000111111000111111010001101001
111101110011010000101000100001110110
0100111001000110111100011
1100100011100101001100011
11001111000011101100000010010111110011110
11101100101101011010101101001100011101001
1100010111010000011000111001010100
1111011001100101001111110101101011
001000100100101010001100011100100010001111100011110
000011100010011110001110101110110111101100111101101
11011100111000110101100110000101010100101
00001110000001101100111000100100101010110
100001101110111001101000110010
100110000110011111011111001000
1010100000100001011110000111110101111010010010110001011101010000100101100100011010
1110011000010010110010110100110001110010001100111110001001010001110111001111000101
001001111110100000001011011111111101010100010000000001101000110000101001001001111
110100000000000001101101001110011001100100110010110000101010111001011000001000111
11001100110100001001001101110111011000011001
01111111100001100001111111110100000111011011
0001010100101000001000011111001000101000010110110001100011110110111011010001010100010
0110000100011100110011000100111000011001010000011110000011110011010110011011001110110
00111110011010111001001100111011000101101
01000110100011011111101110101011111110101
00100001111000001100010101011110110110011010000110001011110000001110101101101
10010000011111010001110101110001010010011111010011100000110010111011010001110
11010010101101100100001000011010011000011101
01110110001001011101011001111101100111010100
0011011100101011100111001000010010111001001000111100010011010111100000110
1111000110101110000111011011100011011000100011011000101001101101000011001
00000000011011101000100001
11100100100111001110010010
10111001001010111011110111110
11010100110111110000111010111
1101000110011100000000110110010100101110101110100001000010011101111011001010010011111010001111001
1100101100110001110100101011000010000000011011010001101001111110110010010001100001111001110011001
00110110100100010100111100
10101101000101001011011010
011100001110011100101011000010101110110001101001011011
111111111000011111000100011011100010101001010101100100
01000110001011
10000100111110
01011001
00100111
11000001111110100011001111100000000
00000111010000111000111011011110110
010000001010010101100010110000011011100001001011111111100100101011001001101000011100000011
111010110010110010111010110101010010011111110011001010001011100000001110011011011110110010
100100101000111100110010101001011001111011000000010001111011110000111011001001101111000
100111111000100000010100011111001010111111100110111101010101100001100011000001010010111
00110101111110110110000001010010010000111010000111111111011010111100111000000
01101010111101000001000110101001101001100010110010110010000100100001111110111
1100010111010011000111001
0001100010101010000110110
0110010100100001010110101101001110101011001010011011001011101010100001000111110111010
1110011101010011001010101010000100101010011000100101101000111101101101100000001111001
100011110110001101110111000100110111110100100010001010100
111100110001101111100100101111000100110100010100010000010
11111001011011110110111101101100001001100011101110111001000
11010000011110011001100011111110011001000011010110010110001
1010100111011101110011100100111110100101000110001111001011010101
1111010110010110001010001011110001111100101111111010011110000000
11101
11011
0011100101111101000001101001110111100100011101100100
0101000111110010110100011111001110010110001000110100
01101001010000011011111000000010000111010010011100010110
11010000001111001100101100001011110110101010100111101011
00001110110000111101011101011111111000101100111001001111010110001110000110101001000111001
11010001101101000011111110100111010001011110010100011100110100111111011010011001000111100
0101010111101001111010011001011001100011101001101000001000111
0111111101010010111111000000111110001110011110100011111110001
1001011111000111111100000000011001101000001000011101011011011111111011
0101001010100111101110111000010010010111001000110010001101000001000001
00100111000000100000001001001011001001101001011111111011001101101001
11101100011110101001010001000011010100111000111001100111111100001010
11011001101011110000110110101100000
11000111010110111010011010010110000
1011111010001111101011110110101000110011110011101000110001011111010010101
1000100100100100101111101101001011000000110101111100011101111010111101010
0
0
0101011100
0111010111
01100111101010001001011110101000010001110001001101100
01100001001001001001010001110110101101011111111011110
00111100011111010111
00100011001000101101
1001
0111
10000001001100110010000001110001001010010
10111011101100111111110100000110101001001
11110001010001011100100001101000111101100101000010000111001111101101011101011011
01110000111011000010101011101010111011000001111110110111000001010110000001010101
10001011011111000000000101101101101100001000100100001001011101000
01001101100110110100100110110110011001111000010010000110111100011
10001100001000011100111000001110110111
11101011100101001001111010011100001100
101000000001110001000
101100000010110011001
1101111110001001100001011101111101000011010000111111110010000110
0000001011010001100011101111000000000110111110010011100111011010
10111101110111111011001100110101110110001010000101011101010000100011
01101001000011100000100010010100010111111111011111100001000010011110
011100010101011010000010111001000111010001110111101001010010110011111111000010010110010
011011010001110000100101100101111110001001110110101111001000011100100000111101001111001
0100111110000001001011000010010000111011111111111000101100101010001000111011100
1001110011100110010010110101001100111110000101100100011001101001010101011001011
110101100011010100001011110110101010100001100
010001000110101101100110110110110010110100100
10100110111100011011000001011100111010001101001100001101010100110011111011011
10111100010101100001010110000101011111111101011010111110011011010101010100001
0100011101110000101101001011001011001011100100110000001
1000000101100111101001000000011111000010100001111110010
001
010
1
0
100001001011110110011010110100110
110010000111100111010001111100011
01101110001010101100111010111011101010110010000100110111100011000
11100100000101111010101001111111011001000010001100100000110101010
1000100010101110110100001111000100111000010001001111101010110101100000001100010101
0111100010101000100100010100001111001001111011001101100110100011111101010110000110
011
101
0001101111010101101110010101101
0001100011101001100011001111110
100001110010011111100010101011100000110111111000
001000010101111111101100110000000100110100011101
010110010011111010000110001110010001110111
000010010001000101000010101011101000001000
000101111101101110011010011111110110001101011101100
110111001010001000010101111011000010010110110101100
1000010101111011110110001010011001000110001100110101111010000100000011111011100111
0100110010110000011110001100011001000100111011001010010000001110010000001001101000
100100110000010000101100001110100010001001001001011001011
000010011001001111010101000101101100000110110001011001111
0101011001100001100100010101011001001111001001011001010000101000000111011101000101100100010100
1010101101000001100000000010110111100010110010110110110111111100111110110111100110101111000110
0111010111010011110
1110000010010100100
1010000011010010000100101101110111111111100101001011100000111100100011101101
1010010110010110110010010011111010101111110111101000001001000100110101011010
00100110111011001001011011110110101100111011111101000101011000111001000
10100001011100111101110100110110000000110000011100101111000001001101110
101101101000111101000001100111001011100000000110010000
110101011010101101001011010010000010101000010110110011
1001101101110100110010101001101001101010101111100010000110
0001110010100011000111101101011100011110100111010001101011
0111111000101000100001010001010001110010110011101101000110011010001001110101011101011000
0010000001110000101010101011011111111100011111100101101100001110000010001110000011011101
011110010010011101101000011110110101100101100
010111011110001100110001011000001110011100111
010100101111111010101110001110111101111100001100110001101010001111000
111111001000000110111111100000110001100000000000011101011000011010000
0100100100001111001001100000000010010001011
1000001111011111111011001100111111100111010
0100010100111001110111110000101011010010000000101110001101111110010111101100
1101011011110100000010111111011001100001100010010010111000101001111101011010
111011100100
101110101001
00111010011101011000001011
01010010100010100100110110
0100100000
1010101111
1110101001111101100100001011000100110010100110001011101000100010
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110100010110
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1
0
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010100000001
100000110001
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11111
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1111011011110101001101001001
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1110001101011111000011100011
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10001100100101111000100000000001010100
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0000111000111011000
0111011010010001110
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样例输出
10101101111101001000001011110001001110010100101000100010101101001
0001010
0011100101010001110011101001
00101101010010000111110110001100
00101011100000
1000000111
1110001001101111110000101010001111011011111110001100110000100011110111000110101011010001000001
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101001011010000100100111100100100000110
10101100110001001000010000010111010010111111010010111001101101010010101001
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00101100101110010110101000
001001
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01111110000100000000111010100111010101
100011111011011001010010111111111010101000011111
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01011010000111001
101110000001100
011110101001110100111
1111100111011010000011111011100001001111
00110111011010001010001000101011000010
1
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000011110101001100111101110010
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111100111101
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0111101111111101111101111111011110011101000100
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000100110100000001010
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10010111011100101100100011
010010010010
10111100000011
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0100001000000101111010100110011100011101101111110011100101
00
001100100111111011000100100101101010100110111111110110001000111011011101000101110011011011
011100001101111100010011001
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011111111000100101001001000010011101010011001110111010110011011
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10110101000011011010010100101000011001100100001
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0101011011110000100100010000001011011100011101001111100001101001100010010011
01101111111000000100011
1010
100001000100
011100001010111010010110100010000101101110001101100101111010110110100001100111100110111
0101111011010011011001000010000000111010111100010111111111111110101001011101101110011
001111101110100000100001000111111
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0010111100100100
11011000010011101111101111010001111010011101110011011010110011101100101101011100111011111110
1000011110101001010001000011000101100000010100011011010011010100111110101011010000111110101101110000
10
1010001000011110110100010000000101110110011111100101
100111110000000100101110111111111010101111111011
111111
010011111001100110011111001
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111001001010010110110100100001110001
011000111100111101100
0010000
01000101101
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1111010110110110010100111110100011010001010101011101
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000010100101111010000111111111101
0100100011110111101001101000000011
10010111001101101001
111100010101101001011000000101110000111001101000100000101011110
001110000010100111
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101011001101111010000111001001011010011100111100101111010110010101011001011
00000001110111110101110011001110111101111010001001111011110101110010110011110000001110000110000001
000000
001010101000011000010111001010101000100110110010010111001101001101101110111010101010110111011
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110011000000
111110000001110011000010001011110110100110100011111111101
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00101000000011100101
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1000011010100011110000000
00100011101110110110101111011011101110111
0011001110110101010111001100111111
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000111101000100110110111111010
0100111000110011101100110011000100001000011110001111010100000001010010101011011111
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01101101111101001011001101001
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10011011100001011111100110
100011110110000011101111011001001100011000111100111111
11000010110101
01111110
11000110101110011011110100111110110
101010111000100111011000000101001001111110111000110101101111001011000111110011000010110001
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00110
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0
0010001011
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1110
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011
1
010011001100010001001011001000101
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1111000000000110010000011011001011110001101010000010001100010110011101011010010011
110
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1001010101000111010
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010101001101
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1100
0
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0001
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111
000011101
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