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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#37270#1277. Permutationznk2373065134TL 717ms43256kbC++2.0kb2022-06-30 20:15:002022-06-30 20:15:02

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2022-06-30 20:15:02]
  • 评测
  • 测评结果:TL
  • 用时:717ms
  • 内存:43256kb
  • [2022-06-30 20:15:00]
  • 提交

answer

#include <cstdio>
#include <vector>
#include <map>
#include <unordered_map>

using int64 = long long;
using uint64 = unsigned long long;

const int mod = 1e9 + 7;

std::unordered_map<uint64, int64> count;
std::vector<int> p;
int n;

int64 dfs(uint64 s, uint64 candidate) {
  int d = __builtin_popcountll(s);
  if (d == n) return 1;
  auto it = count.find(s);
  if (it != count.end()) {
    return it->second;
  }
  int64 ret = 0;
  if (p[d] == -1) {
    for (uint64 mask = candidate; mask; ) {
      int i = __builtin_ctzll(mask);
      bool found = false;
      for (uint64 m2 = s; m2 && !found; ) {
        int j = __builtin_ctzll(m2);
        m2 ^= uint64(1) << j;
        found |= (j <= i * 2) && (2 * i - j < n) && (~s >> (i * 2 - j) & 1);
      }
      if (!found) {
        s ^= uint64(1) << i;
        candidate ^= uint64(1) << i;
        ret += dfs(s, candidate);
        s ^= uint64(1) << i;
        candidate ^= uint64(1) << i;
      }
      mask ^= uint64(1) << i;
    }
  } else {
    bool found = false;
    int l = std::max(p[d] * 2 - n + 1, 0);
    int r = std::min(n - 1, p[d] * 2);
    for (int j = l; j <= r && !found; ++j) {
      found |= (s >> j & 1) && (~s >> (p[d] * 2 - j) & 1);
    }
    if (!found) {
      s ^= uint64(1) << p[d];
      ret += dfs(s, candidate);
      s ^= uint64(1) << p[d];
    }
  }
  return count[s] = ret;
}

int main() {
  int T;
  scanf("%d", &T);
  for (int cas = 1; cas <= T; ++cas) {
    scanf("%d", &n);
    p.resize(n);
    uint64 candidate = (uint64(1) << n) - 1;
    int cnt = 0;
    for (int i = 0; i < n; ++i) {
      scanf("%d", &p[i]);
      --p[i];
      if (p[i] == -1) {
        ++cnt;
      } else {
        candidate ^= uint64(1) << p[i];
      }
    }
    count.clear();
    int64 ret = 1;
    for (int i = 1; i <= cnt; ++i) {
      ret = ret * i % mod;
    }
    ret -= dfs(0, candidate);
    ret = (ret % mod + mod) % mod;
    printf("%lld\n", ret);
  }
  return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 2ms
memory: 3144kb

input:

2
3
0 0 0
7
1 0 3 0 0 6 0

output:

2
21

result:

ok 2 tokens

Test #2:

score: 0
Accepted
time: 1ms
memory: 3116kb

input:

50
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0

output:

0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0

result:

ok 50 tokens

Test #3:

score: 0
Accepted
time: 1ms
memory: 3228kb

input:

25
2
0 0
2
0 0
2
0 0
2
0 0
2
0 0
2
0 0
2
0 0
2
0 0
2
0 0
2
0 0
2
0 0
2
0 0
2
0 0
2
0 0
2
0 0
2
0 0
2
0 0
2
0 0
2
0 0
2
0 0
2
0 0
2
0 0
2
0 0
2
0 0
2
0 0

output:

0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0

result:

ok 25 tokens

Test #4:

score: 0
Accepted
time: 0ms
memory: 3120kb

input:

16
3
0 0 0
3
0 0 0
3
0 0 0
3
0 0 0
3
0 0 0
3
0 0 0
3
0 0 0
3
0 0 0
3
0 0 0
3
0 0 0
3
0 0 0
3
0 0 0
3
0 0 0
3
0 0 0
3
0 0 0
3
0 0 0

output:

2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2

result:

ok 16 tokens

Test #5:

score: 0
Accepted
time: 1ms
memory: 3224kb

input:

5
10
0 0 0 0 0 0 0 0 0 0
10
0 0 0 0 0 0 0 0 0 0
10
0 0 0 0 0 0 0 0 0 0
10
0 0 0 0 0 0 0 0 0 0
10
0 0 0 0 0 0 0 0 0 0

output:

3627734
3627734
3627734
3627734
3627734

result:

ok 5 tokens

Test #6:

score: 0
Accepted
time: 2ms
memory: 3172kb

input:

4
11
0 10 11 6 1 0 8 0 0 3 5
11
0 0 0 10 8 5 4 1 0 2 9
11
0 4 0 3 11 0 0 0 7 8 1
11
0 8 0 3 9 0 0 0 7 4 0

output:

24
24
120
720

result:

ok 4 tokens

Test #7:

score: 0
Accepted
time: 2ms
memory: 3168kb

input:

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

output:

720
24
5040
6

result:

ok 4 tokens

Test #8:

score: 0
Accepted
time: 2ms
memory: 3124kb

input:

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

output:

5040
40320
40320

result:

ok 3 tokens

Test #9:

score: 0
Accepted
time: 1ms
memory: 3140kb

input:

3
14
0 12 10 9 0 0 11 0 0 1 6 4 8 13
14
0 0 8 0 0 9 14 3 0 0 6 2 0 0
14
13 0 8 0 0 0 0 0 14 7 4 6 0 3

output:

120
40320
5040

result:

ok 3 tokens

Test #10:

score: 0
Accepted
time: 0ms
memory: 3208kb

input:

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

output:

720
5040
40320

result:

ok 3 tokens

Test #11:

score: 0
Accepted
time: 9ms
memory: 3564kb

input:

2
20
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
20
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

output:

143388927
143388927

result:

ok 2 tokens

Test #12:

score: 0
Accepted
time: 6ms
memory: 3544kb

input:

1
30
21 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

output:

586750519

result:

ok "586750519"

Test #13:

score: 0
Accepted
time: 4ms
memory: 3556kb

input:

1
40
0 0 0 0 23 26 0 0 0 0 0 0 32 20 33 0 0 0 0 0 0 0 0 0 0 0 0 0 36 0 0 0 0 0 0 0 0 0 0 0

output:

943272305

result:

ok "943272305"

Test #14:

score: 0
Accepted
time: 80ms
memory: 12000kb

input:

1
41
0 0 0 0 0 0 0 0 0 14 38 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15 0 0 35 9 0 0

output:

523095984

result:

ok "523095984"

Test #15:

score: 0
Accepted
time: 58ms
memory: 8100kb

input:

1
42
0 0 0 0 0 0 0 0 0 0 0 0 4 22 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 38 0 0 0 1 0

output:

472948359

result:

ok "472948359"

Test #16:

score: 0
Accepted
time: 2ms
memory: 3176kb

input:

5
10
0 0 7 0 0 0 0 0 0 3
10
0 5 0 0 0 0 0 9 0 0
10
1 6 0 0 0 0 0 5 0 0
10
0 0 4 0 0 0 3 0 1 9
10
0 0 0 0 0 0 0 6 0 0

output:

40320
40320
5040
718
362648

result:

ok 5 tokens

Test #17:

score: 0
Accepted
time: 2ms
memory: 3172kb

input:

5
9
0 6 0 0 0 0 0 0 0
9
6 0 0 0 3 0 0 7 0
9
8 0 0 0 0 0 7 3 4
9
0 0 0 0 0 0 0 0 0
9
0 0 0 0 0 0 8 2 0

output:

40270
720
120
362384
4996

result:

ok 5 tokens

Test #18:

score: 0
Accepted
time: 717ms
memory: 43256kb

input:

1
42
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

output:

94131117

result:

ok "94131117"

Test #19:

score: 0
Accepted
time: 440ms
memory: 29172kb

input:

1
40
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

output:

614960773

result:

ok "614960773"

Test #20:

score: 0
Accepted
time: 152ms
memory: 14688kb

input:

1
35
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

output:

478043548

result:

ok "478043548"

Test #21:

score: 0
Accepted
time: 54ms
memory: 7568kb

input:

1
30
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

output:

343955582

result:

ok "343955582"

Test #22:

score: 0
Accepted
time: 18ms
memory: 4420kb

input:

1
25
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

output:

242322220

result:

ok "242322220"

Test #23:

score: 0
Accepted
time: 2ms
memory: 3604kb

input:

1
20
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

output:

143388927

result:

ok "143388927"

Test #24:

score: 0
Accepted
time: 2ms
memory: 3128kb

input:

5
10
0 0 0 2 0 9 0 5 0 0
10
0 1 0 3 7 0 0 0 0 0
10
0 0 10 8 0 0 0 9 0 7
10
0 7 1 9 0 0 0 0 0 0
10
0 4 0 0 10 0 0 0 9 0

output:

5028
5000
719
5018
5034

result:

ok 5 tokens

Test #25:

score: 0
Accepted
time: 0ms
memory: 3196kb

input:

5
10
5 1 9 7 3 0 4 10 2 6
10
5 9 1 3 7 6 2 0 4 8
10
6 2 10 4 8 1 9 5 3 0
10
0 10 6 4 8 5 9 1 7 3
10
8 4 10 2 6 5 9 1 0 3

output:

0
0
0
0
0

result:

ok 5 tokens

Test #26:

score: 0
Accepted
time: 2ms
memory: 3148kb

input:

5
10
0 3 0 0 5 10 2 6 4 8
10
5 1 0 3 7 0 4 2 10 6
10
0 3 9 1 5 6 0 10 0 4
10
0 3 5 9 1 6 10 0 8 4
10
5 1 9 7 3 0 4 6 2 0

output:

4
1
5
1
1

result:

ok 5 tokens

Test #27:

score: 0
Accepted
time: 2ms
memory: 3128kb

input:

1
42
29 13 21 37 5 17 33 1 0 0 41 11 27 35 3 19 31 15 23 39 7 12 28 4 36 20 24 0 0 32 16 2 34 18 26 10 42 0 30 6 38 22

output:

118

result:

ok "118"

Test #28:

score: 0
Accepted
time: 2ms
memory: 3152kb

input:

1
42
37 5 21 13 29 17 1 33 25 9 41 3 35 0 0 27 23 0 7 31 15 32 16 8 40 24 0 0 20 28 0 30 0 0 38 22 10 0 0 0 0 18

output:

479001592

result:

ok "479001592"

Test #29:

score: 0
Accepted
time: 2ms
memory: 3132kb

input:

1
42
0 29 0 0 21 33 1 17 41 9 0 15 31 0 7 23 0 0 0 0 35 20 4 36 28 12 32 0 0 40 24 26 10 0 18 34 0 0 38 6 0 0

output:

789741538

result:

ok "789741538"

Test #30:

score: 0
Accepted
time: 0ms
memory: 3212kb

input:

1
42
0 0 25 0 1 33 0 0 0 29 0 0 0 35 0 0 7 39 0 31 0 0 42 0 0 0 2 0 38 22 14 0 0 0 0 0 28 24 0 0 0 0

output:

394131909

result:

ok "394131909"

Test #31:

score: -100
Time Limit Exceeded

input:

1
50
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

output:


result: