QOJ.ac

QOJ

ID	题目	提交者	结果	用时	内存	语言	文件大小	提交时间	测评时间
#863893	#9980. Boolean Function Reconstruction	ucup-team253^#	AC ✓	718ms	4864kb	C++23	3.3kb	2025-01-20 01:07:44	2025-01-20 01:07:52

Due to the privacy settings of the submitter, you are not allowed to view this code.

詳細信息

Test #1:

score: 100

Accepted

time: 1ms

memory: 3840kb

input:

7
2
0001
2
0111
2
1111
3
00010111
1
10
2
0101
5
00000000000000000000000000000001

output:

Yes
(a&b)
Yes
(a|b)
Yes
T
Yes
((a&(b|c))|(b&c))
No
Yes
a
Yes
(a&(b&(c&(d&e))))

result:

ok 7 lines, tightest: 4 out of 14 (7 test cases)

Test #2:

score: 0

Accepted

time: 0ms

memory: 3712kb

input:

output:

Yes
F
No
Yes
a
Yes
T

result:

ok 4 lines, tightest: 0 out of 11 (4 test cases)

Test #3:

score: 0

Accepted

time: 1ms

memory: 3840kb

input:

output:

Yes
F
No
No
No
No
No
No
No
Yes
(a&b)
No
Yes
a
No
Yes
b
No
Yes
(a|b)
Yes
T

result:

ok 16 lines, tightest: 1 out of 12 (16 test cases)

Test #4:

score: 0

Accepted

time: 0ms

memory: 3840kb

input:

256
3
00000000
3
10000000
3
01000000
3
11000000
3
00100000
3
10100000
3
01100000
3
11100000
3
00010000
3
10010000
3
01010000
3
11010000
3
00110000
3
10110000
3
01110000
3
11110000
3
00001000
3
10001000
3
01001000
3
11001000
3
00101000
3
10101000
3
01101000
3
11101000
3
00011000
3
10011000
3
01011000...

output:

Yes
F
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
...

result:

ok 256 lines, tightest: 4 out of 14 (256 test cases)

Test #5:

score: 0

Accepted

time: 8ms

memory: 3840kb

input:

65536
4
0000000000000000
4
1000000000000000
4
0100000000000000
4
1100000000000000
4
0010000000000000
4
1010000000000000
4
0110000000000000
4
1110000000000000
4
0001000000000000
4
1001000000000000
4
0101000000000000
4
1101000000000000
4
0011000000000000
4
1011000000000000
4
0111000000000000
4
1111000...

output:

Yes
F
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
...

result:

ok 65536 lines, tightest: 8 out of 18 (65536 test cases)

Test #6:

score: 0

Accepted

time: 1ms

memory: 3584kb

input:

168
4
0000000000000000
4
0000000000000001
4
0000000000000011
4
0000000000000101
4
0000000000000111
4
0000000000001111
4
0000000000010001
4
0000000000010011
4
0000000000010101
4
0000000000010111
4
0000000000011111
4
0000000000110011
4
0000000000110111
4
0000000000111111
4
0000000001010101
4
000000000...

output:

Yes
F
Yes
(a&(b&(c&d)))
Yes
(b&(c&d))
Yes
(a&(c&d))
Yes
((a&(c&d))|(b&(c&d)))
Yes
(c&d)
Yes
(a&(b&d))
Yes
((a&(b&d))|(b&(c&d)))
Yes
(a&((b&d)|(c&d)))
Yes
((a&((b&d)|(c&d)))|(b&(c&d)))
Yes
((a&(b&d))|(c&d))
Yes
(b&d)
Yes
((a&(c&d))|(b&d))
Yes
((b&d)|(c&d))
Yes
(a&d)
Yes
((a&d)|(b&(c&d)))
Yes
((a&d)|(...

result:

ok 168 lines, tightest: 8 out of 18 (168 test cases)

Test #7:

score: 0

Accepted

time: 15ms

memory: 3840kb

input:

7581
5
00000000000000000000000000000000
5
00000000000000000000000000000001
5
00000000000000000000000000000011
5
00000000000000000000000000000101
5
00000000000000000000000000000111
5
00000000000000000000000000001111
5
00000000000000000000000000010001
5
00000000000000000000000000010011
5
0000000000000...

output:

Yes
F
Yes
(a&(b&(c&(d&e))))
Yes
(b&(c&(d&e)))
Yes
(a&(c&(d&e)))
Yes
((a&(c&(d&e)))|(b&(c&(d&e))))
Yes
(c&(d&e))
Yes
(a&(b&(d&e)))
Yes
((a&(b&(d&e)))|(b&(c&(d&e))))
Yes
(a&((b&(d&e))|(c&(d&e))))
Yes
((a&((b&(d&e))|(c&(d&e))))|(b&(c&(d&e))))
Yes
((a&(b&(d&e)))|(c&(d&e)))
Yes
(b&(d&e))
Yes
((a&(c&(d&e)...

result:

ok 7581 lines, tightest: 18 out of 26 (7581 test cases)

Test #8:

score: 0

Accepted

time: 6ms

memory: 4096kb

input:

14
1
01
2
0111
3
00010111
4
0001011101111111
5
00000001000101110001011101111111
6
0000000100010111000101110111111100010111011111110111111111111111
7
00000000000000010000000100010111000000010001011100010111011111110000000100010111000101110111111100010111011111110111111111111111
8
00000000000000010000...

output:

Yes
a
Yes
(a|b)
Yes
((a&(b|c))|(b&c))
Yes
((a&(b|(c|d)))|((b&(c|d))|(c&d)))
Yes
((a&((b&(c|(d|e)))|((c&(d|e))|(d&e))))|((b&((c&(d|e))|(d&e)))|(c&(d&e))))
Yes
(((a&(((b&((c|d)|(e|f)))|(c&(d|(e|f))))|((d&(e|f))|(e&f))))|(b&((c&(d|(e|f)))|((d&(e|f))|(e&f)))))|((c&((d&(e|f))|(e&f)))|(d&(e&f))))
Yes
(((a...

result:

ok 14 lines, tightest: 68 out of 74 (14 test cases)

Test #9:

score: 0

Accepted

time: 6ms

memory: 4184kb

input:

14
1
01
2
0001
3
00010111
4
0000000100010111
5
00000001000101110001011101111111
6
0000000000000001000000010001011100000001000101110001011101111111
7
00000000000000010000000100010111000000010001011100010111011111110000000100010111000101110111111100010111011111110111111111111111
8
00000000000000000000...

output:

Yes
a
Yes
(a&b)
Yes
((a&(b|c))|(b&c))
Yes
((a&((b&(c|d))|(c&d)))|(b&(c&d)))
Yes
((a&((b&(c|(d|e)))|((c&(d|e))|(d&e))))|((b&((c&(d|e))|(d&e)))|(c&(d&e))))
Yes
((a&((b&((c&(d|(e|f)))|((d&(e|f))|(e&f))))|((c&((d&(e|f))|(e&f)))|(d&(e&f)))))|((b&((c&((d&(e|f))|(e&f)))|(d&(e&f))))|(c&(d&(e&f)))))
Yes
(((a...

result:

ok 14 lines, tightest: 68 out of 74 (14 test cases)

Test #10:

score: 0

Accepted

time: 5ms

memory: 4096kb

input:

14
1
00
2
0001
3
00000001
4
0000000100010111
5
00000000000000010000000100010111
6
0000000000000001000000010001011100000001000101110001011101111111
7
00000000000000000000000000000001000000000000000100000001000101110000000000000001000000010001011100000001000101110001011101111111
8
00000000000000000000...

output:

Yes
F
Yes
(a&b)
Yes
(a&(b&c))
Yes
((a&((b&(c|d))|(c&d)))|(b&(c&d)))
Yes
((a&((b&((c&(d|e))|(d&e)))|(c&(d&e))))|(b&(c&(d&e))))
Yes
((a&((b&((c&(d|(e|f)))|((d&(e|f))|(e&f))))|((c&((d&(e|f))|(e&f)))|(d&(e&f)))))|((b&((c&((d&(e|f))|(e&f)))|(d&(e&f))))|(c&(d&(e&f)))))
Yes
((a&((b&((c&((d&(e|(f|g)))|((e&(...

result:

ok 14 lines, tightest: 33 out of 42 (14 test cases)

Test #11:

score: 0

Accepted

time: 4ms

memory: 3968kb

input:

14
1
00
2
0000
3
00000001
4
0000000000000001
5
00000000000000010000000100010111
6
0000000000000000000000000000000100000000000000010000000100010111
7
00000000000000000000000000000001000000000000000100000001000101110000000000000001000000010001011100000001000101110001011101111111
8
00000000000000000000...

output:

Yes
F
Yes
F
Yes
(a&(b&c))
Yes
(a&(b&(c&d)))
Yes
((a&((b&((c&(d|e))|(d&e)))|(c&(d&e))))|(b&(c&(d&e))))
Yes
((a&((b&((c&((d&(e|f))|(e&f)))|(d&(e&f))))|(c&(d&(e&f)))))|(b&(c&(d&(e&f)))))
Yes
((a&((b&((c&((d&(e|(f|g)))|((e&(f|g))|(f&g))))|((d&((e&(f|g))|(f&g)))|(e&(f&g)))))|((c&((d&((e&(f|g))|(f&g)))|(e...

result:

ok 14 lines, tightest: 0 out of 11 (14 test cases)

Test #12:

score: 0

Accepted

time: 6ms

memory: 4864kb

input:

1
15
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000...

output:

Yes
((((a&((((b&((((c&((((d&((((e&((((f&((((g&(((h|i)|(j|k))|((l|m)|(n|o))))|(h&((i|(j|k))|((l|m)|(n|o)))))|((i&((j|(k|l))|(m|(n|o))))|(j&((k|l)|(m|(n|o))))))|(((k&((l|m)|(n|o)))|(l&(m|(n|o))))|((m&(n|o))|(n&o)))))|(g&(((h&((i|(j|k))|((l|m)|(n|o))))|((i&((j|(k|l))|(m|(n|o))))|(j&((k|l)|(m|(n|o))))))...

result:

ok 1 lines, tightest: 12868 out of 16394 (1 test case)

Test #13:

score: 0

Accepted

time: 7ms

memory: 4608kb

input:

1
15
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000100000000000000010000000100010111000000000000000000000000000000000000000...

output:

Yes
((((a&((((b&((((c&((((d&((((e&((((f&(((g|h)|(i|j))|((k|l)|(m|(n|o)))))|(g&(((h|i)|(j|k))|((l|m)|(n|o)))))|((h&((i|(j|k))|((l|m)|(n|o))))|(i&((j|(k|l))|(m|(n|o))))))|(((j&((k|l)|(m|(n|o))))|(k&((l|m)|(n|o))))|((l&(m|(n|o)))|((m&(n|o))|(n&o))))))|(f&((((g&(((h|i)|(j|k))|((l|m)|(n|o))))|(h&((i|(j|k...

result:

ok 1 lines, tightest: 11438 out of 16394 (1 test case)

Test #14:

score: 0

Accepted

time: 5ms

memory: 4480kb

input:

1
15
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
(((a&(((b&(((c&(((d&(((e&(((f&(((g&(((h&((i|(j|k))|((l|m)|(n|o))))|((i&((j|(k|l))|(m|(n|o))))|(j&((k|l)|(m|(n|o))))))|(((k&((l|m)|(n|o)))|(l&(m|(n|o))))|((m&(n|o))|(n&o)))))|((h&(((i&((j|(k|l))|(m|(n|o))))|((j&((k|l)|(m|(n|o))))|(k&((l|m)|(n|o)))))|((l&(m|(n|o)))|((m&(n|o))|(n&o)))))|(i&(((j&((k...

result:

ok 1 lines, tightest: 11438 out of 16394 (1 test case)

Test #15:

score: 0

Accepted

time: 4ms

memory: 4480kb

input:

1
15
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
(((a&(((b&(((c&(((d&(((e&(((f&(((g&(((h&(((i&((j|(k|l))|(m|(n|o))))|((j&((k|l)|(m|(n|o))))|(k&((l|m)|(n|o)))))|((l&(m|(n|o)))|((m&(n|o))|(n&o)))))|((i&(((j&((k|l)|(m|(n|o))))|(k&((l|m)|(n|o))))|((l&(m|(n|o)))|((m&(n|o))|(n&o)))))|(j&(((k&((l|m)|(n|o)))|(l&(m|(n|o))))|((m&(n|o))|(n&o))))))|((k&((...

result:

ok 1 lines, tightest: 8006 out of 16394 (1 test case)

Test #16:

score: 0

Accepted

time: 246ms

memory: 3840kb

input:

65536
6
0000001101111111000111111111111101111111111111111111111111111111
6
0000000000000000000100110011011100000000000000000001001100111111
6
0101010101110111011101111111111101110111111111111111111111111111
6
0000001100000011000000110001011100011111001111110011111100111111
6
000000010001011100000001...

output:

Yes
(((a&((b&e)|(d|f)))|(b&(c|(d|f))))|((c&(d|(e|f)))|((d&(e|f))|(e&f))))
Yes
((a&((b&e)|(c&(d&e))))|((b&((c&e)|(d&e)))|(c&(d&(e&f)))))
Yes
((a|(b&(d|(e|f))))|((d&(e|f))|(e&f)))
Yes
((a&((b&((d&e)|f))|(c&(d&e))))|((b&(c|((d&f)|(e&f))))|(c&f)))
Yes
((a&((b&(c|(d|f)))|(c&(d|f))))|(b&((c&(d|f))|(d&f)))...

result:

ok 65536 lines, tightest: 33 out of 42 (65536 test cases)

Test #17:

score: 0

Accepted

time: 542ms

memory: 3712kb

input:

65536
7
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
7
00000001000100010001000101110111000100010111011101110111011111110001000101110111011101110111111100010001011101110111011111111111
7
000000010001001100000001001101...

output:

Yes
(a&(b&(c&(d&(e&(f&g))))))
Yes
(((a&((b&((c|d)|(e|(f|g))))|((d&(e|(f|g)))|(e&(f|g)))))|(b&((d&(e|(f|g)))|(e&(f|g)))))|((c&(d&(e&(f|g))))|(d&(e&(f&g)))))
Yes
(((a&((b&(c|(d|f)))|((c&((d&e)|(e&f)))|(d&f))))|(b&((c&(d|((e&g)|f)))|((d&(e|f))|(e&f)))))|((c&(d&f))|(d&(e&(f&g)))))
Yes
(((a&((b&(c&(d|f))...

result:

ok 65536 lines, tightest: 68 out of 74 (65536 test cases)

Test #18:

score: 0

Accepted

time: 299ms

memory: 3840kb

input:

16384
8
0000000000000000000000000000000000000000000000000000000000010001000000000000000000000000000100010000000000010001000100010011011100000000000000000000000000010001000000000001000100010001011101110000000000000001000100010011011100010001000101110011011101111111
8
000101010101011100010101011101110...

output:

Yes
((a&((b&(((c&(d&(g&h)))|(d&((e&(f|(g|h)))|(f&(g|h)))))|((e&((f&(g|h))|(g&h)))|(f&(g&h)))))|((c&((d&((e&((f&g)|(g&h)))|(f&(g&h))))|(e&(f&(g&h)))))|(d&(e&(f&h))))))|((b&((c&(d&(f&(g&h))))|((d&(e&((f&(g|h))|(g&h))))|(e&(f&(g&h))))))|(c&(d&(e&(f&(g&h)))))))
Yes
(((a&((b|(c|d))|(f|(g|h))))|((b&(((c&(...

result:

ok 16384 lines, tightest: 117 out of 138 (16384 test cases)

Test #19:

score: 0

Accepted

time: 159ms

memory: 3712kb

input:

4096
9
00000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000111000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000001000101110000000000000000000000010001011100000...

output:

Yes
(((a&(((b&((c&((d&((e&f)|(f&i)))|((e&((f&(g&h))|i))|(f&(g&i)))))|((d&((e&((f&(g&h))|i))|(f&(g&i))))|(e&(g&i)))))|(c&((d&((e&((f&g)|i))|(f&(g&i))))|(e&(g&i)))))|((d&(e&(g&i)))|(e&(f&i)))))|(b&((c&((d&((e&((f&g)|i))|(f&(g&i))))|(e&(g&i))))|((d&(e&(g&i)))|(e&(f&i))))))|((c&((d&(e&((g&i)|(h&i))))|(e...

result:

ok 4096 lines, tightest: 238 out of 266 (4096 test cases)

Test #20:

score: 0

Accepted

time: 84ms

memory: 3840kb

input:

1024
10
0000000000000000000000000000000100000000000000110000000000000011000000000000000100000000000000110000000000000011000000010000001100000000000000110000000000000011000000000000001100000011000001110000000000000011000000000000001100000011000001110000001100011111000000000000001100000000000000110000...

output:

Yes
(((a&((b&(((c&(((d&(e|g))|(e&((f&g)|(g&(h&i)))))|((f&i)|j)))|(d&(((e&((f&(g&h))|j))|(f&((g&i)|(h&i))))|((g&j)|(h&j)))))|((e&((f&(h&j))|(g&(h&(i&j)))))|(f&(g&(h&j))))))|((c&(((d&((e&((f&h)|(g&(h&i))))|((f&((g&h)|i))|j)))|(e&(h&(i&j))))|((f&(h&j))|(g&(h&(i&j))))))|(d&(e&(f&(i&j)))))))|(b&(((c&(((d...

result:

ok 1024 lines, tightest: 396 out of 522 (1024 test cases)

Test #21:

score: 0

Accepted

time: 41ms

memory: 3712kb

input:

256
11
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
(((a&(((b&((c&((d&(e&((f&(j&k))|(g&(h&(j&k))))))|(f&(h&i))))|((d&((e&(f&(h&i)))|(f&((g&(i&j))|(h&((i&k)|j))))))|(e&((f&((g&(h&((i&k)|j)))|(i&(j&k))))|(h&(i&(j&k))))))))|(c&(d&((e&(f&(h&((i&k)|j))))|(f&(g&(h&(j&k))))))))|((e&(f&(h&(i&j))))|(f&(h&(i&(j&k)))))))|(b&(((c&(((d&(f&(h&i)))|(e&(f&(h&i))...

result:

ok 256 lines, tightest: 644 out of 1034 (256 test cases)

Test #22:

score: 0

Accepted

time: 23ms

memory: 3840kb

input:

64
12
000101011111111101111111111111110001011111111111011111111111111100010111111111110111111111111111000101111111111101111111111111110001010111111111011111111111111100010111111111110111111111111111000101111111111101111111111111110001011111111111111111111111111101111111111111111111111111111111011111...

output:

Yes
((((a&(((b|c)|(e|(f&l)))|(((g&(h&l))|i)|((j&l)|k))))|(b&(((c&((f|g)|(j|l)))|e)|(i|k))))|((c&((e|(f&(g&(h&l))))|(i|((j&l)|k))))|(d|(e&(((f&(g&h))|i)|(j|(k|l)))))))|(((f&((g&(i&j))|((h&(i&j))|k)))|(g&(h&k)))|((i&(k|l))|((j&k)|(k&l)))))
Yes
(((a&(((b&(((c&(((d&(((e&(f|((i&j)|(j&(k&l)))))|(f&(g|(h|(...

result:

ok 64 lines, tightest: 1376 out of 2058 (64 test cases)

Test #23:

score: 0

Accepted

time: 12ms

memory: 3968kb

input:

16
13
000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011000000000000000000000000000000000011111111111111111111111111111100000000000000000000000000000000000000...

output:

Yes
((((a&(((b&(((c&(((d&((e&((f&j)|((g&(j&(l|m)))|(i&(j&(k&(l&m)))))))|((f&(g&(i&k)))|(h&(j&l)))))|(e&((f&(j&l))|(h&j))))|((f&(g&(i&(l&m))))|(g&(h&(i&k))))))|(d&((e&((f&(h&k))|(g&(h&(k&(l|m))))))|((f&(i&(j&(l|m))))|(h&((i&j)|(j&(k&(l&m)))))))))|((e&((f&((h&((k&l)|(l&m)))|((i&j)|(j&(k&(l&m))))))|(g&...

result:

ok 16 lines, tightest: 1730 out of 4106 (16 test cases)

Test #24:

score: 0

Accepted

time: 5ms

memory: 3968kb

input:

4
14
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
(((a&(((b&(((c&(((e&(((f&((h&((i&n)|l))|((k&m)|(l&n))))|(h&((i&(j&(k|(m&n))))|(k&(l&m)))))|((i&((k&l)|(l&m)))|(j&((k&l)|(l&m))))))|(f&(((h&((i&(j|((k&n)|(m&n))))|((j&(k&n))|(l&m))))|(i&(j&n)))|((k&l)|(l&(m&n))))))|((h&(i&(j&((k&m)|(l&n)))))|((i&(k&(l&m)))|(j&(k&(l&m)))))))|((d&(e&((f&(h&(j&(m&n)...

result:

ok 4 lines, tightest: 2117 out of 8202 (4 test cases)

Test #25:

score: 0

Accepted

time: 5ms

memory: 3840kb

input:

4
14
0000000000000000000000000000000000000000000000000001000100010101000000000000000101010101010101010001010101010101011101110111111100000000000000000000000000000001000000000000000000010101010101010000000100010001010101010101011101010101010101010111111111111111000000000000000000010101010101010000000...

output:

Yes
(((a&((((b&(((c&(((d&(((e&((h|k)|(l|m)))|((f&(j|k))|g))|(((h&((i&l)|(j&(k&l))))|(i&(j|k)))|((j&n)|(k&n)))))|((e&((h&k)|(j|(k&(l|m)))))|(f&(((h&(j&l))|i)|((j&k)|n)))))|(((g&((h|j)|(k|l)))|(h&((i&((j&l)|(k&l)))|(j&(l&n)))))|((i&((j&(k|(l&m)))|n))|(j&(k&n))))))|((d&(((e&((h&k)|(j|(k&(l|m)))))|((f&(...

result:

ok 4 lines, tightest: 1595 out of 8202 (4 test cases)

Test #26:

score: 0

Accepted

time: 7ms

memory: 4096kb

input:

4
14
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
(((a&(((b&((c&((d&((e&((f&(i&(m&n)))|((h&(k&(l&n)))|(i&(j&l)))))|(g&(j&(l&(m&n))))))|((e&((f&(g&(i&(j&(k&n)))))|(g&((h&(i&(k&(l&m))))|(k&(l&(m&n)))))))|(f&(i&(j&(l&n)))))))|((d&(e&(f&(g&(h&(j&(k&(l&n))))))))|(e&(f&(i&(j&(k&(l&(m&n))))))))))|(c&((d&((e&((f&(h&(l&(m&n))))|(g&(i&(j&(k&(m&n)))))))|(...

result:

ok 4 lines, tightest: 3963 out of 8202 (4 test cases)

Test #27:

score: 0

Accepted

time: 5ms

memory: 3968kb

input:

4
14
0000000000000000000000000001001100000000000000110000000000110011000000000011001100000000001100110000000000110011000000000011001100000000001100110000000000110011000000000011001100000000001100110001001100111111001100111111111100110011111111110011001111111111000000000011001100000011001101110000000...

output:

Yes
((((a&((((b&(((c&(((d&j)|(e&((f&((g&j)|l))|(g&(k|m)))))|((f&(i|n))|(h&(j&(k|m))))))|((d&e)|(e&((f&(j&l))|((g&(j&(k|m)))|(h&(k|m)))))))|(((f&(((i&j)|(j&n))|((k&l)|(l&m))))|(g&(h|(k&m))))|((k&n)|(m&n)))))|(c&(((d&((e&((f&((h&j)|(j&(k&m))))|(i|n)))|((f&(((g&(j&(k|m)))|(h&(k|m)))|((j&n)|(k&l))))|(j&...

result:

ok 4 lines, tightest: 1902 out of 8202 (4 test cases)

Test #28:

score: 0

Accepted

time: 5ms

memory: 3968kb

input:

4
14
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000001000000000000000000000000000000000000000...

output:

Yes
(((a&(((b&(((c&(((d&((((e&(((f&(h&n))|(h&m))|(k|(m&n))))|(f&((g|i)|(k|(l|m)))))|((g&(((h&n)|i)|(k|(l|m))))|(h&((i|k)|(l|(m&n))))))|(((i&((k|l)|(m|n)))|j)|((k&(l|(m|n)))|(l&(m|n))))))|((e&((f&(((g&(h&(l|(m&n))))|(h&((i&m)|(l&m))))|((i&(k|(m&n)))|(l&(m&n)))))|(g&(l&m))))|(f&(((g&(((h&((i&n)|(k|(l&...

result:

ok 4 lines, tightest: 2458 out of 8202 (4 test cases)

Test #29:

score: 0

Accepted

time: 3ms

memory: 3712kb

input:

1
15
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
((a&((b&((c&((d&(((e&(((f&(((g&(((h&(((i&((j&((k&l)|((l&m)|n)))|((k&(n|o))|(m&o))))|(j&((k&(m&n))|(l&o))))|((k&(l&o))|(n&o))))|(i&((j&((k&(l&o))|(n&o)))|(l&(n&o)))))|((j&(k&(m&(n&o))))|(k&(l&(m&(n&o)))))))|(h&(((i&(((j&((k&((l&m)|n))|((m&n)|o)))|(k&(m&(n|o))))|((l&(n|o))|(n&o))))|(j&((k&((l&(n|o...

result:

ok 1 lines, tightest: 933 out of 16394 (1 test case)

Test #30:

score: 0

Accepted

time: 2ms

memory: 3968kb

input:

1
15
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
((((a&(((b&(((c&(((d&(((e&(((f&(h&(k&l)))|(g&((h&(i&k))|(j&(k&(l&n))))))|((j&(k&o))|(l&(n&o)))))|(f&((g&((i&(k&(n&o)))|(k&(l&(m&o)))))|((h&(i&(k&m)))|(j&(k&(l&(m&n))))))))|((g&((h&(j&(l&n)))|(i&(j&(k&(m&n))))))|(i&(m&(n&o))))))|(e&((f&(g&(h&o)))|(h&(i&(k&(l&n)))))))|((g&((h&(j&(k&(n&o))))|(i&(k&...

result:

ok 1 lines, tightest: 2431 out of 16394 (1 test case)

Test #31:

score: 0

Accepted

time: 3ms

memory: 3968kb

input:

1
15
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000...

output:

Yes
(((a&(((b&(((c&((((d&(((e&(((f&(g&((h|(j&l))|(n|o))))|(h&((i&k)|(k&m))))|((i&(k&(n|o)))|(k&(m&(n|o))))))|(f&(((g&(((h&((j&l)|(n|o)))|(i&(k&m)))|((j&(l&(n|o)))|(n&o))))|(h&((i&m)|((j&o)|(k&(l&(n|o)))))))|((i&((j&(l&m))|(m&(n|o))))|((j&(n&o))|(k&(l&(n&o))))))))|((g&((i&((j&(l&m))|(m&(n|o))))|(k&(l...

result:

ok 1 lines, tightest: 4543 out of 16394 (1 test case)

Test #32:

score: 0

Accepted

time: 4ms

memory: 4096kb

input:

1
15
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000110000000000000000000000000000001100000000000000110000001100111111000000000000000000000000000000000000000...

output:

Yes
((((a&(((b&(((c&(((d&(((e&(((f&((g&o)|k))|((g&k)|(j&(l&m))))|((k&(l|m))|((l&n)|(m&n)))))|((f&(((g&(i|((j&k)|(l&m))))|(h&(l|m)))|((i&(l|m))|((j&((k&((l&o)|(m&o)))|((l&n)|(m&n))))|(k&n)))))|(g&(((h&(l|m))|(i&(l|m)))|((j&((k&((l&o)|(m&o)))|((l&n)|(m&n))))|(k&n))))))|((h&(i|((j&(k|n))|(l&(m&o)))))|(...

result:

ok 1 lines, tightest: 3582 out of 16394 (1 test case)

Test #33:

score: 0

Accepted

time: 3ms

memory: 3584kb

input:

1
15
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
(((a&(((b&(((c&(((d&(((e&(((f&(((g&(((h&((i&(j&(l|n)))|((j&(m&n))|(k&(l|n)))))|(i&((j&((k&((l&n)|m))|(n&o)))|(l&o))))|((j&((k&((l&(m&n))|o))|(m&(n&o))))|((k&(n&o))|(l&(m&o))))))|((h&(((i&(k|((l&n)|m)))|(j&((k&(l|n))|(l&m))))|((k&((l&n)|m))|((l&(m&n))|o))))|(i&(((j&(l&o))|(k&((l&m)|(m&n))))|((l&(...

result:

ok 1 lines, tightest: 2496 out of 16394 (1 test case)

Test #34:

score: 0

Accepted

time: 3ms

memory: 4096kb

input:

1
15
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001010100000000000000000000000001010101000000000000000000000000000000000000000...

output:

Yes
((((a&((((b&((((c&((((d&(((e&(((f&(((g&j)|(i&(l&o)))|((k&l)|((l&(m&o))|n))))|(g&(((i&(l|o))|(j&(l&o)))|((l&m)|(m&o)))))|((i&(j&o))|(j&((l&m)|(m&o))))))|((f&(((g&(((i&j)|(j&m))|((k&(l&o))|(n&o))))|(h&(((i&(l|o))|(j&(l&o)))|((l&m)|(m&o)))))|((i&((k&(l|o))|(l&n)))|((j&(k&(l&o)))|(k&((l&m)|(m&o)))))...

result:

ok 1 lines, tightest: 3836 out of 16394 (1 test case)

Test #35:

score: 0

Accepted

time: 718ms

memory: 3840kb

input:

65536
7
00000000000000010000000100000101000000000001011100000101010111110000000100000001000001110001011100000101001101110011011111111111
7
00000000000000010000000000010111000000000000011100000001011111110000000100000001000000110011011100010101001101110011111111111111
7
000000000000000000000001000100...

output:

Yes
(((a&((b&((c&(d|(e|g)))|(d&((e&g)|f))))|((c&((d&(e|f))|((e&(f|g))|(f&g))))|(d&(e&f)))))|(b&((c&((d&f)|(e&g)))|((d&(f&g))|(e&(f&g))))))|((c&(d&(e&f)))|(d&(e&(f&g)))))
Yes
(((a&((b&((c&(d|((e&f)|g)))|((d&e)|(f&g))))|((c&((d&(e|f))|(f&g)))|(d&(e&f)))))|(b&((c&((d&(e|f))|(e&g)))|((d&((e&(f|g))|(f&g)...

result:

ok 65536 lines, tightest: 62 out of 74 (65536 test cases)

Test #36:

score: 0

Accepted

time: 132ms

memory: 3840kb

input:

1024
10
0000000000000000000000000000000000000000000000000000000000000011000000000000000000000001000001110000000000000111000101010111011100000000000000000000000000000111000000010001011100010011000101110000000100000001000001110001011100000101011111110101111111111111000000000000000100000000000100010000...

output:

Yes
(((a&(((b&(((c&(((d&i)|((e&(g|j))|(f&(h|j))))|((g&(h|j))|((h&i)|(i&j)))))|(d&((e&((g&h)|(i|j)))|((f&(h|j))|(h&j)))))|((e&((f&(g|(h|j)))|(h&j)))|((f&((g&(i|j))|(h&i)))|(g&(h&i))))))|((c&(((d&((e&(g|(h|j)))|(f&((g|h)|(i|j)))))|(e&(((f&(g|j))|(g&h))|((h&i)|(i&j)))))|((f&((g&(h|(i|j)))|((h&j)|(i&j))...

result:

ok 1024 lines, tightest: 327 out of 522 (1024 test cases)

Test #37:

score: 0

Accepted

time: 36ms

memory: 3968kb

input:

64
12
000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000001000101110000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000010000000100010101000101110111111100000000000000000000000000000001000000...

output:

Yes
(((a&(((b&(((c&(((d&(((e&((f|(g&h))|((h&k)|(i|j))))|((f&k)|(g&(i|j))))|((h&l)|((i&j)|(j&k)))))|((e&(((f&((g|i)|(k|l)))|((g&(i|(j|k)))|(h&l)))|((i&j)|((j&(k|l))|(k&l)))))|(f&(((g&(h|k))|(h&(i|k)))|((i&(j|(k|l)))|(k&l))))))|((g&((h&(j|(k|l)))|((i&l)|(j&l))))|((h&((i&(j|(k|l)))|(j&(k|l))))|(i&((j&k...

result:

ok 64 lines, tightest: 1115 out of 2058 (64 test cases)

Test #38:

score: 0

Accepted

time: 33ms

memory: 3840kb

input:

64
12
000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000...

output:

Yes
(((a&(((b&(((c&(((d&(((e&(((f&(g|(h|j)))|((g&(j|k))|(h&(i|(j|l)))))|((i&j)|((j&k)|(k&l)))))|(f&(((g&(k|l))|(h&k))|((i&(j|k))|((j&(k|l))|(k&l))))))|((g&(((h&(j|l))|(i&(j|(k|l))))|((j&k)|(k&l))))|((h&((i&(k|l))|((j&(k|l))|(k&l))))|(j&(k&l))))))|(e&(((f&(((g&l)|(h&(j|k)))|((i&(k|l))|((j&l)|(k&l))))...

result:

ok 64 lines, tightest: 1110 out of 2058 (64 test cases)

Test #39:

score: 0

Accepted

time: 25ms

memory: 3840kb

input:

64
12
000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000...

output:

Yes
(((a&(((b&(((c&(((d&((e&(((f&(((g&((h|i)|(j|l)))|(h&(i|k)))|((i&l)|((j&(k|l))|(k&l)))))|(g&((h&k)|((i&(j|(k|l)))|(k&l)))))|((h&((i&j)|(j&l)))|((i&((j&k)|(k&l)))|(j&(k&l))))))|((f&(((g&(((h&j)|(i&(j|l)))|((j&(k|l))|(k&l))))|(h&((i&(j|k))|(j&k))))|((i&(j&(k|l)))|(j&(k&l)))))|(g&(h&((i&(j|k))|(j&(k...

result:

ok 64 lines, tightest: 839 out of 2058 (64 test cases)

Test #40:

score: 0

Accepted

time: 10ms

memory: 4096kb

input:

4
14
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000010111000000000000000000000000000000000000000...

output:

Yes
((((a&(((b&((((c&((((d&(((e&(((f&((g|j)|(k|(m&n))))|((g&((i|j)|(k|n)))|(h&(k|(l|n)))))|((i&(j|(l|n)))|((j&((k|l)|(m|n)))|(k&n)))))|((f&(((g&(h|(j|k)))|((h&((i|k)|(l|(m|n))))|(i&m)))|((j&(l|n))|((k&(l|n))|(l&n)))))|(g&(((h&(i|(j|l)))|(i&((j|k)|(l|m))))|((j&n)|((k&(l|m))|(l&m)))))))|(((h&(((i&(j|m...

result:

ok 4 lines, tightest: 3983 out of 8202 (4 test cases)

Test #41:

score: 0

Accepted

time: 9ms

memory: 3840kb

input:

4
14
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000...

output:

Yes
(((a&(((b&(((c&(((d&(((e&(((f&(((g&((h|j)|(l|m)))|((h&(k|(m|n)))|(i&(k|n))))|(((j&(l|n))|(k&m))|((l&(m|n))|(m&n)))))|((g&(((h&(i|n))|(i&((j|k)|(m|n))))|((j&(k|m))|((k&l)|(l&(m|n))))))|(h&((i&(l|n))|((j&k)|(k&l))))))|(((i&((j&(k|(m|n)))|((k&n)|(l&m))))|(j&((k&n)|((l&(m|n))|(m&n)))))|((k&(l&n))|(l...

result:

ok 4 lines, tightest: 3987 out of 8202 (4 test cases)

Test #42:

score: 0

Accepted

time: 5ms

memory: 3968kb

input:

1
15
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000100000001000000000000000000000000000000000000000...

output:

Yes
((((a&((((b&((((c&((((d&((((e&((((f&(((i&n)|l)|(m|o)))|(g&(i|(j|l))))|((h&((k|l)|(n|o)))|(i&(k|l))))|(((j&(k|(n|o)))|(k&((l&o)|m)))|((l&(m|n))|(n&o)))))|(f&(((g&((h|(i|j))|((k|l)|(n|o))))|((h&((i|j)|(m|o)))|(i&(j|(k|o)))))|(((j&(k|m))|(k&(l|o)))|((m&o)|(n&o))))))|((g&(((h&((i|(j|l))|(m|(n|o))))|...

result:

ok 1 lines, tightest: 6910 out of 16394 (1 test case)

Test #43:

score: 0

Accepted

time: 5ms

memory: 4480kb

input:

1
15
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
((((a&(((b&((((c&((((d&((((e&(((f&(((g&(j|(k|l)))|((h&((j|k)|(l|o)))|(i&((j|k)|(l|n)))))|(((j&(m|o))|(k&l))|((m&o)|(n&o)))))|((g&(((h&((i|k)|(l|o)))|((i&((j|k)|(m|n)))|(j&(m|o))))|(((k&n)|(l&(m|(n|o))))|((m&n)|(n&o)))))|(h&(((i&(k|l))|(j&(k|(m|o))))|((m&(n|o))|(n&o))))))|(((i&(((j&((k|l)|(m|o)))...

result:

ok 1 lines, tightest: 7822 out of 16394 (1 test case)

Test #44:

score: 0

Accepted

time: 4ms

memory: 4224kb

input:

1
15
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

Yes
(((a&(((b&(((c&(((d&(((e&(((f&(((g&(((h&((j|l)|(n|o)))|((i&(n|o))|(j&(k|(m|n)))))|(((k&o)|(l&(m|o)))|((m&o)|(n&o)))))|((h&(((i&(j|n))|(j&(m|o)))|((k&(m|n))|((l&(m|n))|(m&(n|o))))))|(i&((j&(l|m))|((k&(l|o))|(m&(n|o)))))))|(((j&(((k&(l|(m|o)))|(l&(m|(n|o))))|((m&(n|o))|(n&o))))|(k&((l&o)|(m&(n|o))...

result:

ok 1 lines, tightest: 6893 out of 16394 (1 test case)

Extra Test:

score: 0

Extra Test Passed