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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
#776346#9783. Duloc Networkucup-team244#RE 19ms4136kbC++141.8kb2024-11-23 18:18:022024-11-23 18:18:02

详细

Test #1:

score: 100
Accepted
time: 1ms
memory: 4088kb

input:

4
1
3
2
2
2
1
0

output:

? 1000
? 0100
? 0010
? 0001
? 1100
? 1101
? 1111
! 1

result:

ok Correct answer with 7 queries.

Test #2:

score: 0
Accepted
time: 1ms
memory: 3832kb

input:

2
0
0
0

output:

? 10
? 01
? 11
! 0

result:

ok Correct answer with 3 queries.

Test #3:

score: 0
Accepted
time: 1ms
memory: 4128kb

input:

4
1
3
2
2
2
1
0

output:

? 1000
? 0100
? 0010
? 0001
? 1100
? 1101
? 1111
! 1

result:

ok Correct answer with 7 queries.

Test #4:

score: 0
Accepted
time: 0ms
memory: 3784kb

input:

2
0
0
0

output:

? 10
? 01
? 11
! 0

result:

ok Correct answer with 3 queries.

Test #5:

score: 0
Accepted
time: 1ms
memory: 3832kb

input:

50
3
1
1
1
1
4
3
1
1
2
3
3
2
1
2
4
3
1
1
1
2
4
1
3
1
4
3
2
2
2
4
2
2
1
1
2
1
2
4
1
1
3
3
3
6
2
1
3
2
3
4
8
7
5
5
5
8
6
5
6
8
9
9
9
13
12
14
12
14
13
13
14
15
15
16
17
16
16
15
16
17
19
17
15
15
15
14
14
13
12
13
14
13
12
11
10
9
10
8
9
8
7
6
9
5
6
4
5
3
4
3
2
1
2
0

output:

? 10000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000
? 00100000000000000000000000000000000000000000000000
? 00010000000000000000000000000000000000000000000000
? 00001000000000000000000000000000000000000000000000
? 000001000000000000000000000000000...

result:

ok Correct answer with 115 queries.

Test #6:

score: 0
Accepted
time: 1ms
memory: 3824kb

input:

50
10
13
8
6
13
8
10
8
8
8
9
13
15
11
9
10
14
6
16
10
15
10
7
8
10
10
10
13
10
15
9
10
11
5
16
10
14
11
10
9
9
15
11
10
7
11
12
10
9
10
21
26
31
32
34
35
38
38
37
36
37
36
36
35
34
33
32
31
30
29
28
27
26
25
24
23
22
21
20
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0

output:

? 10000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000
? 00100000000000000000000000000000000000000000000000
? 00010000000000000000000000000000000000000000000000
? 00001000000000000000000000000000000000000000000000
? 000001000000000000000000000000000...

result:

ok Correct answer with 99 queries.

Test #7:

score: 0
Accepted
time: 1ms
memory: 3828kb

input:

50
1
3
1
4
3
1
1
1
1
3
1
1
1
1
3
5
1
1
1
1
3
2
5
1
2
1
4
1
2
3
4
3
3
2
3
1
1
1
1
3
2
2
1
3
4
2
4
2
3
2
2
3
3
6
4
2
2
2
1
2
4
5
5
4
8
5
6
6
7
6
6
9
9
8
8
8
9
9
9
11
10
10
11
10
10
12
12
15
12
11
10
11
11
10
12
9
10
11
10
13
11
11
9
10
9
9
10
9
8
8
9
7
9
8
6
7
5
4
4
5
4
3
2
3
1
2
2
2
2
2
2
0
1
1
1
1
2
3

output:

? 10000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000
? 00100000000000000000000000000000000000000000000000
? 00010000000000000000000000000000000000000000000000
? 00001000000000000000000000000000000000000000000000
? 000001000000000000000000000000000...

result:

ok Correct answer with 138 queries.

Test #8:

score: 0
Accepted
time: 0ms
memory: 3852kb

input:

50
2
14
8
8
7
12
12
8
8
9
9
10
8
8
4
8
9
9
9
11
13
11
8
7
9
12
7
5
6
4
7
8
10
5
5
10
8
4
10
9
11
7
10
8
6
8
10
7
5
9
5
16
11
17
24
27
32
31
32
31
31
32
32
32
31
33
32
31
30
29
28
27
26
26
25
24
23
22
21
20
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1

output:

? 10000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000
? 00100000000000000000000000000000000000000000000000
? 00010000000000000000000000000000000000000000000000
? 00001000000000000000000000000000000000000000000000
? 000001000000000000000000000000000...

result:

ok Correct answer with 99 queries.

Test #9:

score: 0
Accepted
time: 1ms
memory: 3832kb

input:

50
3
1
1
1
2
1
1
1
1
5
1
2
1
1
1
1
3
1
1
2
1
1
1
2
2
1
1
1
1
3
1
2
1
1
2
3
1
2
3
2
1
3
1
2
3
1
2
2
1
1
4
4
5
4
5
4
6
5
4
5
4
4
4
4
6
4
4
6
4
4
6
4
5
4
5
4
4
2
3
3
4
2
4
4
3
5
3
3
1
2
2
3
4
6
2
2
0
1
2

output:

? 10000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000
? 00100000000000000000000000000000000000000000000000
? 00010000000000000000000000000000000000000000000000
? 00001000000000000000000000000000000000000000000000
? 000001000000000000000000000000000...

result:

ok Correct answer with 99 queries.

Test #10:

score: 0
Accepted
time: 2ms
memory: 4132kb

input:

100
1
2
1
1
1
1
1
1
3
3
1
1
2
3
4
1
2
2
2
1
2
2
1
2
2
1
1
1
3
2
1
2
2
1
4
1
1
1
3
2
4
1
3
2
3
3
3
1
1
1
1
2
1
2
2
4
3
1
2
1
1
1
1
3
3
3
2
1
1
2
1
2
2
3
2
1
5
3
5
1
1
1
1
1
1
1
1
3
4
1
2
1
2
1
1
2
1
3
2
1
3
3
4
2
3
3
4
2
3
2
2
2
4
3
4
2
2
2
2
3
3
2
2
4
2
2
3
3
3
2
0
1
1
4
3
1
1
2
1
3
1
1
1
3
3
1
1
1
...

output:

? 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 0100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 00100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 199 queries.

Test #11:

score: 0
Accepted
time: 2ms
memory: 4116kb

input:

100
11
13
9
11
8
7
15
12
8
8
7
6
9
12
11
9
10
9
11
16
10
8
9
8
10
6
8
9
13
10
9
7
5
11
14
6
11
16
7
7
8
8
11
8
13
15
11
12
11
11
11
9
10
12
10
6
11
10
5
13
9
9
6
6
6
12
7
12
10
10
9
11
7
11
5
6
9
6
5
9
5
16
11
13
13
10
5
5
8
8
12
11
5
8
8
10
8
10
8
10
18
16
17
18
24
32
37
44
48
52
53
58
57
58
62
62
...

output:

? 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 0100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 00100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 199 queries.

Test #12:

score: 0
Accepted
time: 2ms
memory: 3836kb

input:

100
5
3
3
4
2
2
2
8
4
5
4
4
2
2
3
4
6
5
1
4
3
3
2
5
5
2
2
4
3
4
4
4
4
1
3
5
3
4
4
3
3
4
1
3
3
2
5
5
5
1
3
4
3
4
2
2
4
2
1
3
3
7
3
5
5
6
6
1
3
2
3
3
3
2
1
6
3
5
5
3
4
4
2
2
1
5
7
3
3
1
6
2
2
5
2
5
3
3
6
4
8
6
8
10
11
13
13
12
12
14
17
15
18
22
19
21
22
26
23
25
29
32
33
34
33
32
34
34
33
38
35
37
37
...

output:

? 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 0100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 00100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 199 queries.

Test #13:

score: 0
Accepted
time: 3ms
memory: 3852kb

input:

100
1
1
1
3
1
1
3
1
4
1
2
3
4
1
1
2
4
1
3
2
1
3
2
4
1
3
1
1
2
1
1
1
3
1
1
4
1
1
1
1
4
1
2
1
3
3
1
1
3
4
1
2
2
3
3
1
1
1
1
4
1
1
1
1
1
2
2
2
2
1
2
2
2
2
2
1
1
2
5
1
2
2
1
1
2
2
2
4
1
1
1
5
4
1
3
1
1
1
2
1
3
5
3
3
2
2
2
2
3
3
2
2
5
4
4
2
3
2
3
2
5
4
2
4
3
4
3
4
5
2
2
2
3
2
3
3
2
2
3
2
2
4
2
2
2
4
7
3
...

output:

? 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 0100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 00100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 341 queries.

Test #14:

score: 0
Accepted
time: 0ms
memory: 3856kb

input:

100
1
1
2
3
1
3
2
1
1
1
1
1
1
4
1
1
1
2
1
1
2
3
1
1
1
2
1
2
2
2
1
2
1
1
1
4
3
1
1
1
1
2
2
3
2
1
1
1
1
1
1
1
1
5
3
1
1
2
1
1
2
1
2
2
1
2
3
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
2
2
1
3
3
2
1
4
3
1
2
3
1
1
2
1
2
1
2
4
3
0
5
3
2
1
2
2
1
1
1
1
1
1
1
1
2
2
2
1
1
1
1
3
1
1
1
1
1
1
1
2
3
2
1
4
1
2
3
3
3
1
2
3
1
1
...

output:

? 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 0100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 00100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 199 queries.

Test #15:

score: 0
Accepted
time: 2ms
memory: 3824kb

input:

150
4
2
3
2
2
3
2
4
3
3
4
2
2
4
6
1
3
2
3
5
3
4
4
3
6
3
1
2
4
5
5
3
2
3
3
2
3
1
2
4
2
4
4
1
2
3
2
3
1
1
4
4
3
2
2
1
3
3
1
2
1
6
1
3
2
4
1
4
2
1
4
3
4
1
3
4
2
4
2
5
3
4
2
6
6
2
2
2
3
2
4
4
4
2
2
1
2
1
3
2
3
7
2
1
3
2
5
4
1
2
3
2
3
2
3
5
3
4
5
2
3
1
3
1
2
3
1
3
1
2
3
3
2
3
7
1
2
1
4
2
2
2
3
4
4
3
6
3
...

output:

? 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 0100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 363 queries.

Test #16:

score: 0
Accepted
time: 3ms
memory: 3856kb

input:

150
4
2
2
1
2
1
1
8
1
2
1
3
4
2
1
4
3
2
1
4
3
1
1
4
5
3
2
3
3
2
4
1
3
4
4
5
4
2
6
4
2
2
2
2
3
6
2
3
3
4
3
3
2
3
2
4
2
1
1
1
1
2
2
4
2
3
3
3
7
1
4
3
3
3
4
2
2
1
2
2
2
1
2
4
2
1
2
2
4
2
2
4
2
6
2
4
4
2
1
2
4
2
5
1
4
3
3
1
2
4
4
2
2
3
4
1
4
2
2
3
3
3
2
3
2
6
3
3
2
3
1
1
3
5
2
3
2
2
2
3
1
3
3
4
3
3
2
3
...

output:

? 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 0100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 358 queries.

Test #17:

score: 0
Accepted
time: 2ms
memory: 3828kb

input:

150
3
1
4
1
4
2
3
1
1
3
1
1
4
5
7
1
2
1
2
3
4
2
3
5
1
5
1
2
2
5
3
6
2
2
1
3
5
1
3
2
2
3
1
2
1
3
2
2
1
3
2
2
2
5
1
2
2
5
5
2
3
4
1
3
1
2
1
2
2
1
1
5
3
1
3
1
2
3
1
2
2
2
1
4
1
2
2
5
3
2
1
4
2
2
5
1
3
3
1
4
3
2
4
1
5
3
4
2
2
3
1
2
4
3
3
2
1
2
3
1
1
2
1
3
4
3
1
2
4
4
3
1
7
4
1
1
1
1
4
3
2
3
2
2
1
3
3
1
...

output:

? 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 0100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 394 queries.

Test #18:

score: 0
Accepted
time: 3ms
memory: 3924kb

input:

150
4
4
5
4
2
2
5
3
1
4
2
2
3
1
1
2
2
3
3
3
8
2
1
3
2
2
3
1
1
3
2
3
2
3
3
7
1
2
1
5
4
1
4
4
3
2
3
2
5
7
3
2
1
2
1
3
5
3
3
6
3
3
5
3
5
5
1
4
2
5
2
3
2
2
1
3
2
2
2
2
1
3
2
1
2
5
4
3
6
3
2
3
1
2
3
3
1
4
2
2
2
3
4
3
1
5
2
1
5
2
4
6
3
3
2
3
3
2
3
1
5
1
3
2
3
8
2
5
1
4
5
4
1
1
3
1
1
1
5
3
1
3
4
2
3
2
2
4
...

output:

? 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 0100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 339 queries.

Test #19:

score: 0
Accepted
time: 4ms
memory: 3912kb

input:

150
2
1
1
3
2
2
2
1
1
1
1
1
2
2
2
1
1
3
3
2
2
1
2
1
2
5
4
2
1
2
2
2
2
1
2
1
2
1
2
3
3
2
3
2
1
1
2
2
3
1
2
1
1
3
3
2
4
2
1
1
2
5
2
2
2
2
1
1
3
2
1
3
1
5
3
1
3
1
4
1
2
1
3
1
1
1
3
1
1
2
1
5
3
1
1
1
2
1
2
1
2
1
1
2
2
3
1
2
1
2
2
2
2
2
3
1
5
2
1
2
3
2
1
2
4
1
1
2
3
3
3
1
2
1
3
2
2
1
1
2
2
3
1
1
1
1
4
1
...

output:

? 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 0100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 596 queries.

Test #20:

score: 0
Accepted
time: 4ms
memory: 3864kb

input:

200
1
3
1
3
3
1
1
1
1
1
2
1
3
2
2
1
1
3
1
2
1
1
1
1
2
2
1
1
1
2
1
4
1
1
1
1
2
1
1
2
3
1
1
1
4
1
1
1
1
3
1
1
1
1
2
1
1
1
1
2
1
2
1
2
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
2
1
1
2
1
2
2
2
4
1
2
1
1
5
2
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
2
1
1
3
1
1
1
2
1
5
1
1
1
1
4
1
4
1
1
3
1
3
1
3
1
1
4
1
2
1
3
1
2
2
2
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 1056 queries.

Test #21:

score: 0
Accepted
time: 4ms
memory: 3768kb

input:

200
3
2
2
2
2
2
1
1
1
4
2
1
2
2
2
2
1
1
2
1
1
3
1
1
2
2
2
3
1
2
1
1
2
1
2
2
2
3
3
3
2
2
1
1
4
1
1
2
2
2
2
1
2
2
1
3
2
3
2
1
1
1
1
1
2
2
1
1
2
1
1
4
2
1
1
1
1
2
3
2
1
2
3
4
1
1
2
5
5
2
1
3
2
3
1
3
1
2
1
2
1
1
3
2
2
3
3
4
1
1
2
1
3
2
1
1
1
1
1
4
2
1
1
1
1
2
2
2
3
2
2
2
1
1
1
2
3
3
2
2
2
3
1
4
1
3
2
1
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 1192 queries.

Test #22:

score: 0
Accepted
time: 4ms
memory: 3836kb

input:

200
1
2
1
1
1
3
1
1
2
1
2
3
2
3
1
3
2
1
3
1
2
3
1
1
1
2
2
1
4
2
1
1
5
2
3
1
3
3
2
2
2
2
1
2
3
3
2
2
1
1
4
2
2
2
5
2
2
3
3
3
2
1
2
2
2
1
1
2
2
1
1
1
3
2
3
2
1
3
3
3
2
2
1
2
2
5
1
3
3
1
1
1
1
1
3
1
1
1
1
4
3
1
3
1
3
2
1
3
3
1
1
4
1
2
2
2
1
2
3
2
4
3
1
1
3
3
1
1
2
1
1
2
2
1
1
1
3
1
2
1
1
1
2
3
2
1
1
1
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 399 queries.

Test #23:

score: 0
Accepted
time: 8ms
memory: 3832kb

input:

200
1
1
1
1
1
2
3
2
1
1
4
1
2
2
3
2
3
1
2
1
2
2
3
2
1
3
3
3
2
4
2
4
4
1
2
2
2
3
3
1
2
1
2
1
2
4
1
1
2
2
1
2
2
2
2
2
2
1
3
1
2
2
2
2
1
2
1
4
1
4
1
2
1
1
2
1
1
3
2
3
1
2
3
2
1
2
3
1
1
1
3
2
2
1
1
2
3
3
3
4
1
3
1
2
1
3
4
1
1
3
1
2
2
1
4
1
3
2
2
2
1
1
1
2
3
2
2
1
3
1
1
3
2
1
2
3
1
3
4
2
3
2
1
1
4
2
1
2
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 1013 queries.

Test #24:

score: 0
Accepted
time: 5ms
memory: 3832kb

input:

200
1
3
2
2
3
3
2
2
2
2
3
2
1
1
4
4
3
4
4
3
3
2
4
6
2
6
3
3
1
1
3
3
2
2
2
2
4
2
2
4
2
3
3
3
2
3
5
3
3
2
6
1
2
4
2
2
4
4
2
4
3
2
2
2
2
3
3
2
1
5
3
2
5
3
3
3
3
2
3
2
1
2
2
1
1
3
3
3
3
4
2
2
5
3
3
4
4
1
1
2
2
2
1
2
2
1
1
2
2
4
1
3
4
3
4
2
4
1
5
1
2
2
4
3
1
4
2
3
2
4
3
7
3
1
2
3
2
3
8
7
5
4
4
3
1
5
3
2
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 581 queries.

Test #25:

score: 0
Accepted
time: 4ms
memory: 3836kb

input:

200
6
6
5
5
3
3
1
3
2
4
6
4
5
5
3
7
5
3
7
10
6
4
8
1
2
3
4
3
4
5
5
6
2
5
5
10
10
1
1
7
2
3
6
4
2
8
5
3
3
3
1
7
5
9
4
3
2
4
3
3
3
3
7
7
4
2
4
1
9
4
4
3
6
6
1
4
2
2
7
5
6
3
7
3
5
4
4
6
2
3
4
5
9
6
2
8
4
6
3
1
7
4
3
4
3
8
3
8
12
3
4
3
3
7
2
7
7
6
8
5
3
6
6
3
6
4
5
7
6
3
1
3
1
3
1
2
4
2
5
2
4
4
5
3
5
2
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 399 queries.

Test #26:

score: 0
Accepted
time: 4ms
memory: 4136kb

input:

200
2
9
4
4
6
4
2
3
4
5
5
4
5
7
6
3
3
5
3
1
5
4
4
7
3
4
1
3
5
1
6
2
4
4
4
5
2
3
1
2
5
4
3
3
5
4
2
4
5
3
4
3
3
5
5
3
3
4
1
3
4
2
5
7
1
5
7
7
4
6
6
7
7
5
4
6
3
3
4
5
5
4
2
5
7
2
3
3
1
4
3
7
4
4
5
3
9
4
5
7
5
4
6
4
9
6
3
3
7
3
4
4
5
4
5
2
5
5
4
6
4
8
5
6
3
6
3
8
4
2
8
5
2
3
8
3
1
2
6
2
5
6
6
2
7
1
4
7
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 446 queries.

Test #27:

score: 0
Accepted
time: 3ms
memory: 3828kb

input:

200
4
3
3
1
5
5
4
1
1
4
5
2
2
2
1
5
3
5
4
2
6
7
2
6
1
1
8
2
8
4
3
4
1
5
2
1
4
3
3
4
2
3
5
5
2
1
3
4
2
8
2
4
4
3
6
4
7
1
1
6
2
6
4
5
6
2
1
6
2
2
9
3
3
1
1
1
2
5
3
6
1
2
3
4
7
3
2
5
4
5
3
3
4
6
5
4
6
4
1
2
4
6
8
3
2
4
3
3
5
6
5
4
3
4
4
3
5
2
2
4
5
5
4
2
1
6
3
5
7
6
3
2
2
6
3
1
4
4
4
3
2
1
3
1
4
6
4
3
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 459 queries.

Test #28:

score: 0
Accepted
time: 0ms
memory: 4128kb

input:

200
6
1
8
4
8
7
3
6
3
2
6
4
10
6
6
7
1
3
9
5
5
3
4
3
5
6
2
3
3
4
5
3
3
6
2
5
3
6
3
10
3
5
2
6
5
6
5
8
2
6
4
3
8
4
3
3
4
7
2
4
4
3
4
5
4
4
2
4
10
9
5
9
9
5
2
8
6
3
2
3
2
1
5
3
5
4
2
5
3
5
3
4
2
5
3
4
2
5
5
2
4
5
3
5
3
2
2
6
5
2
4
6
12
6
9
3
3
4
5
4
6
7
4
4
2
3
6
7
4
4
4
4
5
6
4
9
4
5
6
5
5
3
5
3
3
3
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 416 queries.

Test #29:

score: 0
Accepted
time: 4ms
memory: 3892kb

input:

200
7
4
6
3
4
2
3
3
1
9
4
6
2
4
7
3
4
4
3
8
5
6
3
7
10
5
7
4
5
2
3
6
3
2
3
3
3
1
6
5
3
3
4
4
3
5
4
3
5
4
5
8
4
4
5
4
6
3
3
6
4
2
3
4
3
3
2
2
4
4
2
6
3
8
5
4
2
7
2
5
6
5
2
9
2
4
4
5
1
5
9
6
6
8
5
2
5
7
3
4
6
4
2
3
4
6
6
5
7
4
7
7
2
5
6
3
4
3
4
4
6
2
2
5
2
4
5
6
3
5
3
8
4
2
2
4
6
2
9
6
3
8
4
5
6
2
3
7...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 399 queries.

Test #30:

score: 0
Accepted
time: 5ms
memory: 3852kb

input:

200
2
2
2
1
1
2
1
1
2
1
2
1
1
1
1
2
3
2
1
1
3
2
2
4
2
1
3
3
2
1
1
3
5
1
3
1
1
2
1
1
2
3
4
2
1
1
2
3
1
5
1
2
1
2
2
3
3
3
2
1
2
2
2
3
1
1
3
1
1
1
1
4
3
1
2
2
2
3
3
1
2
2
3
3
1
3
1
2
3
2
2
1
2
2
1
2
1
2
2
1
1
2
2
1
1
3
2
1
2
5
1
2
3
3
1
1
3
3
3
1
1
3
1
1
2
2
2
3
3
2
2
2
1
2
1
2
2
4
3
2
3
3
2
4
2
3
2
1
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 877 queries.

Test #31:

score: 0
Accepted
time: 0ms
memory: 3840kb

input:

200
1
1
2
3
1
1
1
3
2
1
1
2
1
2
3
3
1
3
1
1
2
2
3
1
1
2
2
4
3
2
2
2
2
3
1
3
2
1
2
1
1
3
1
2
2
1
1
2
1
1
3
3
2
2
2
4
1
2
1
2
2
2
3
1
2
4
2
2
1
1
2
2
2
2
1
1
2
2
2
3
2
3
1
2
4
2
1
3
1
1
3
1
3
2
3
2
2
2
2
2
3
3
1
3
3
1
1
1
2
2
1
1
3
3
1
1
3
2
3
1
1
2
2
2
2
1
3
2
1
1
3
1
3
2
2
6
1
2
2
2
3
2
2
1
1
3
1
3
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 1391 queries.

Test #32:

score: 0
Accepted
time: 0ms
memory: 4092kb

input:

200
1
2
4
1
2
3
3
1
1
4
2
3
2
4
2
2
3
2
1
3
1
2
2
1
1
2
2
2
1
3
1
2
1
3
1
2
5
3
1
4
1
2
1
1
1
3
1
1
3
1
1
1
1
3
1
2
2
2
3
1
2
1
2
1
1
3
3
4
4
1
2
1
1
1
1
4
2
1
1
1
2
3
1
2
2
2
2
1
2
4
2
2
2
3
2
1
2
1
2
1
1
2
2
1
2
3
3
1
1
2
3
3
2
1
3
1
2
1
2
2
3
3
3
4
1
1
1
4
3
1
1
2
4
2
1
3
3
1
1
4
4
2
2
3
1
3
3
1
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 1059 queries.

Test #33:

score: 0
Accepted
time: 0ms
memory: 3792kb

input:

200
1
1
3
3
3
1
3
3
2
1
1
5
3
3
1
1
1
1
3
3
1
1
2
2
1
1
2
2
1
1
1
2
2
1
3
2
3
2
4
1
3
1
2
1
1
4
1
1
4
1
2
1
2
3
4
2
2
2
2
1
1
1
3
3
2
2
3
4
1
1
1
1
1
1
2
3
3
3
1
2
1
2
2
3
1
3
2
3
2
1
3
2
1
2
2
2
1
4
1
3
5
2
1
1
5
2
1
1
3
1
2
3
2
1
1
1
3
4
1
1
2
1
1
5
2
2
1
2
1
1
3
1
2
4
2
1
4
3
2
1
6
2
2
2
2
4
1
3
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 919 queries.

Test #34:

score: 0
Accepted
time: 0ms
memory: 4128kb

input:

200
2
1
2
2
2
3
3
3
1
1
1
3
3
1
1
2
2
1
2
2
3
3
1
2
1
2
4
3
3
1
2
2
2
2
3
2
1
4
1
3
1
2
2
2
1
1
2
5
1
1
1
2
3
1
1
3
1
1
1
4
1
2
4
1
1
1
3
2
2
2
2
2
1
2
3
3
2
1
2
2
4
1
3
1
1
2
1
3
1
2
4
2
2
2
1
1
2
4
1
1
1
1
5
3
2
3
2
4
2
2
2
1
2
2
4
1
2
2
1
2
1
2
1
2
2
1
1
2
2
1
1
2
2
2
3
2
1
2
3
3
3
1
2
1
2
2
4
2
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 696 queries.

Test #35:

score: 0
Accepted
time: 0ms
memory: 3860kb

input:

200
3
3
2
2
3
2
2
3
2
3
2
3
1
3
2
2
2
2
3
2
2
2
2
3
2
2
2
3
2
2
3
3
3
2
2
2
1
2
2
2
3
2
2
1
3
3
3
2
3
3
2
2
2
3
3
2
2
3
2
3
3
3
1
2
3
2
2
2
1
3
3
2
2
2
2
3
2
2
2
3
2
2
3
1
2
2
2
2
3
2
2
2
2
2
3
1
2
3
2
3
1
2
2
2
3
2
2
2
2
3
3
2
2
3
2
2
3
2
3
2
3
2
2
2
3
2
2
3
2
3
2
2
2
1
2
2
3
3
2
3
2
2
2
2
2
3
2
2
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 759 queries.

Test #36:

score: 0
Accepted
time: 6ms
memory: 3788kb

input:

200
1
2
2
2
3
2
3
2
3
3
2
3
2
3
3
3
2
3
2
3
2
3
2
2
3
2
3
2
2
3
2
2
3
2
3
3
2
3
2
3
2
3
2
3
3
2
2
2
2
1
1
2
2
2
3
2
3
2
3
3
2
3
2
3
3
3
2
3
2
3
2
3
2
2
3
2
3
2
2
3
2
2
3
2
3
3
2
3
2
3
2
3
2
3
3
2
2
2
2
1
1
2
2
2
3
2
3
2
3
3
2
3
2
3
3
3
2
3
2
3
2
3
2
2
3
2
3
2
2
3
2
2
3
2
3
3
2
3
2
3
2
3
2
3
3
2
2
2
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 921 queries.

Test #37:

score: 0
Accepted
time: 3ms
memory: 3860kb

input:

200
2
2
2
2
2
2
1
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
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2
2
2
2
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2
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2
2
2
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2
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2
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2
2
2
2
2
2
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2
2
2
2
2
2
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2
2
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2
2
2
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2
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2
2
2
2
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2
2
2
2
2
2
2
2
2
2
2
2
1
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
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2
2
2
2
2
2
2
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2
2
2
2
2
2
2
2
2
2
2
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 3032 queries.

Test #38:

score: 0
Accepted
time: 5ms
memory: 3808kb

input:

200
2
2
2
2
2
2
1
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
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2
2
2
2
2
1
2
2
2
2
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2
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2
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2
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2
2
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2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
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2
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2
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2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
1
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
1
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 2058 queries.

Test #39:

score: 0
Accepted
time: 0ms
memory: 4136kb

input:

200
3
1
2
1
1
2
2
1
2
1
1
1
2
3
3
1
2
1
2
1
2
1
3
1
1
2
2
2
1
1
2
3
2
3
2
1
1
1
1
1
3
3
2
2
2
3
3
2
2
2
2
2
1
2
2
4
1
1
4
3
2
1
1
5
1
1
1
1
2
3
2
2
1
2
1
3
1
1
1
2
2
3
1
2
1
1
1
3
2
3
1
2
1
1
3
2
3
2
2
1
2
1
2
2
2
2
1
2
3
2
2
1
1
2
1
2
4
1
2
1
3
2
1
1
2
1
1
4
2
1
2
2
2
1
3
2
3
5
2
2
2
1
1
4
1
1
2
3
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 1205 queries.

Test #40:

score: 0
Accepted
time: 0ms
memory: 3864kb

input:

200
2
1
2
4
2
2
1
2
1
3
2
1
1
3
3
1
1
1
3
2
2
1
2
2
2
3
1
1
4
2
1
3
3
4
3
4
3
2
1
3
3
2
3
1
3
2
1
4
1
1
5
2
1
2
1
2
1
1
2
2
4
4
1
2
1
3
2
2
1
3
2
3
1
3
1
1
1
2
1
1
2
1
1
2
1
1
1
1
2
1
1
3
1
2
5
1
2
3
4
1
1
1
4
3
1
2
1
2
1
2
2
2
3
2
2
2
2
1
1
2
2
4
2
4
1
1
1
3
3
2
3
3
2
1
2
1
1
2
1
2
2
3
2
1
3
1
3
1
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 900 queries.

Test #41:

score: 0
Accepted
time: 6ms
memory: 3832kb

input:

200
3
2
1
2
4
3
2
1
1
2
2
1
2
6
2
1
1
1
1
2
3
1
3
1
1
2
2
1
3
2
1
4
3
3
1
3
2
5
1
3
1
3
2
2
1
1
2
1
3
2
3
4
3
1
2
1
3
2
3
1
2
1
1
2
2
1
1
1
1
2
1
3
1
1
2
2
1
3
2
2
5
1
2
3
3
2
2
2
6
1
1
1
2
1
2
2
1
1
1
2
1
1
2
2
1
2
4
1
3
3
2
2
1
2
2
3
3
1
3
2
2
2
3
3
3
3
1
2
1
1
3
1
3
3
4
3
3
1
3
4
2
2
2
1
1
2
3
1
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 1511 queries.

Test #42:

score: 0
Accepted
time: 0ms
memory: 3836kb

input:

200
4
4
1
1
3
2
2
2
3
2
1
1
3
2
3
1
2
2
2
2
1
5
2
4
4
4
1
1
1
3
3
1
1
2
1
2
1
1
1
4
1
2
1
1
2
2
1
4
2
1
1
2
1
2
1
2
1
1
1
1
2
1
1
2
1
1
2
3
2
1
1
3
2
2
1
1
3
2
2
2
2
3
2
2
1
1
2
1
2
1
2
2
2
4
4
1
2
2
2
1
2
1
2
1
2
1
2
1
2
3
3
4
4
3
4
1
1
1
3
5
4
4
2
1
3
2
3
3
2
1
1
1
1
1
3
1
1
2
1
1
2
1
1
4
2
1
2
3
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 1085 queries.

Test #43:

score: 0
Accepted
time: 0ms
memory: 4056kb

input:

200
1
1
2
3
2
2
2
3
2
2
3
4
1
4
3
2
1
1
3
4
1
2
3
3
2
1
1
1
4
2
3
3
4
1
1
1
1
1
3
1
2
1
2
3
1
1
2
1
3
2
2
1
3
2
5
2
1
1
2
2
1
1
2
1
2
3
2
4
1
2
2
4
1
2
2
1
2
1
2
2
1
1
1
1
2
1
1
4
1
2
1
4
2
3
3
1
2
2
1
1
2
2
4
1
1
2
2
1
3
1
3
2
2
1
2
2
3
2
2
2
1
1
1
1
1
3
5
1
3
2
2
3
2
2
2
1
1
1
2
2
3
2
2
1
1
1
2
1
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 889 queries.

Test #44:

score: 0
Accepted
time: 1ms
memory: 4080kb

input:

200
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 399 queries.

Test #45:

score: 0
Accepted
time: 1ms
memory: 3796kb

input:

200
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
198
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 399 queries.

Test #46:

score: 0
Accepted
time: 8ms
memory: 3780kb

input:

200
16
14
18
11
22
8
14
26
11
12
15
14
20
9
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 512 queries.

Test #47:

score: 0
Accepted
time: 1ms
memory: 3824kb

input:

200
15
15
16
19
17
16
13
16
6
17
13
16
13
20
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 506 queries.

Test #48:

score: 0
Accepted
time: 19ms
memory: 3884kb

input:

200
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
1
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 3405 queries.

Test #49:

score: -100
Runtime Error

input:

200
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
1
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
1
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result: