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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#17068#1786. 路径交点Qingyu100 ✓47ms10296kbC++203.8kb2022-01-01 16:14:382022-05-04 13:08:17

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.
  • [2022-05-04 13:08:17]
  • 评测
  • 测评结果:100
  • 用时:47ms
  • 内存:10296kb
  • [2022-01-01 16:14:38]
  • 提交

answer

// Author: wlzhouzhuan
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define ull unsigned long long
#define pii pair<int, int>
#define pb push_back
#define fir first
#define sec second
#define rep(i, l, r) for (int i = l; i <= r; i++)
#define per(i, l, r) for (int i = l; i >= r; i--)
#define mset(s, t) memset(s, t, sizeof(s))
#define mcpy(s, t) memcpy(s, t, sizeof(t))
#define poly vector<int>
#define SZ(x) (int(x.size()))
template<typename T1, typename T2> void ckmin(T1 &a, T2 b) { if (a > b) a = b; }
template<typename T1, typename T2> void ckmax(T1 &a, T2 b) { if (a < b) a = b; }

namespace IO {
  const int SIZE = 1 << 23;
  char ibuf[SIZE], *iS, *iT;
  char obuf[SIZE], *oS = obuf, *oT = oS + SIZE - 1;
  bool flush() {
    fwrite(obuf, 1, oS - obuf, stdout);
    oS = obuf;
    return true;
  }
  #define gc() (iS == iT ? (iT = (iS = ibuf) + fread(ibuf, 1, SIZE, stdin), (iS == iT ? EOF : *iS++)) : *iS++)
  #define pc(x) (*oS++ = x) 
  int read() {
    int x = 0, f = 0;
    char c = gc();
    while (!isdigit(c)) f |= c == '-', c = gc();
    while (isdigit(c)) x = 10 * x + c - '0', c = gc();
    return f ? -x : x;
  }
  char qu[55]; int qlen;
  template <class T> void print(T x) {
    if (!x) pc('0');
    if (x < 0) pc('-'), x = -x;
    while (x) qu[++qlen] = x % 10 + '0', x /= 10;
    while (qlen) pc(qu[qlen--]);
  }
  template <class T> void print(T x, char charset) {
    print(x), pc(charset);
  }
  struct Flusher {
    ~Flusher() {
      flush();
    }
  } flusher;
}
using namespace IO;

const int mod = 998244353;
const ull modd = 1ull * mod * mod;

inline int qpow(int a, int b = mod - 2) {
  int res = 1;
  while (b > 0) {
    if (b & 1) res = 1ll * res * a % mod;
    a = 1ll * a * a % mod;
    b >>= 1;
  }
  return res;
}

int mat[201][201], f[201][201];
int matn, matm;
int k, n[101], m[101];

void mul(int n, int m, int t) { 
  static ull tmp[201][201];
  for (int i = 1; i <= n; i++)
    memset(tmp[i], 0, sizeof(ull) * (t + 1));
  for (register int j = 1; j <= m; j++) {
    for (register int k = 1; k <= t; k++) {
      if (!f[j][k]) continue;
      for (register int i = 1; i <= n; i++) {
        tmp[i][k] += mat[i][j];
      }
    }
  }
  for (int i = 1; i <= n; i++)
    for (int j = 1; j <= t; j++)
      mat[i][j] = tmp[i][j] % mod;
  matn = n, matm = t;
}

int det(int n) {
  int res = 1;
  for (int i = 1; i <= n; i++) {
    int who = -1;
    for (int j = i; j <= n; j++)
      if (mat[j][i]) {
        who = j;
        break;
      } 
    if (!~who) return 0;
    if (who != i) {
      for (int j = 1; j <= n; j++)
        swap(mat[i][j], mat[who][j]);
      res = (mod - res) % mod;
    }
    for (int j = i + 1; j <= n; j++) {
      int div = 1ll * mat[j][i] * qpow(mat[i][i]) % mod;
      for (int k = i; k <= n; k++)
        mat[j][k] = (mat[j][k] + mod - 1ll * mat[i][k] * div % mod) % mod;
    }
    res = 1ll * res * mat[i][i] % mod;
  }
  return res;
}
void solve() {
  k = read();
  for (int i = 1; i <= k; i++) n[i] = read();
  for (int i = 1; i < k; i++) m[i] = read();
  for (int t = 1; t < k; t++) {
    for (int i = 1; i <= n[t]; i++)
      for (int j = 1; j <= n[t + 1]; j++)
        f[i][j] = 0;
    while (m[t]--) {
      int u = read(), v = read();
      f[u][v] = 1;
    }
    if (t == 1) {
      matn = n[1], matm = n[2];
      for (int i = 1; i <= matn; i++)
        memcpy(mat[i], f[i], 4 * (matm + 1));
    }
    else mul(matn, matm, n[t + 1]);
  }
//  assert(matn == matm);
//  for (int i = 1; i <= matn; i++) {
//    for (int j = 1; j <= matm; j++)
//      printf("%d ", mat[i][j]);
//    puts("");
//  }
  print(det(matn), '\n');
}

int main() {
  int T = read();
  while (T--) solve();
  return 0;
}

/*
1
3
2 3 2
4 4
1 1
1 2
2 1
2 3
1 2
2 1
3 1
3 2
*/

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 5
Accepted
time: 0ms
memory: 5720kb

input:

5
2
10 10
49
1 1
1 2
1 7
1 9
2 3
2 6
2 9
2 10
3 1
3 2
3 3
3 5
3 6
3 7
3 8
3 9
4 2
4 3
4 4
4 7
4 10
5 3
5 7
5 10
6 1
6 2
6 3
6 5
6 8
6 9
7 1
7 3
7 8
7 9
7 10
8 5
8 6
8 7
8 9
9 1
9 3
9 4
9 7
9 10
10 2
10 4
10 6
10 9
10 10
2
10 10
46
1 1
1 2
1 3
1 10
2 1
2 2
2 5
2 9
2 10
3 3
3 7
3 8
4 2
4 5
4 7
4 8
4 1...

output:

998244348
24
21
998244346
6

result:

ok 5 lines

Test #2:

score: 5
Accepted
time: 3ms
memory: 5744kb

input:

5
2
10 10
56
1 1
1 3
1 5
1 7
1 9
1 10
2 4
2 5
2 6
2 7
2 8
2 9
2 10
3 1
3 3
3 4
3 6
3 8
3 9
4 1
4 2
4 3
4 4
4 5
4 6
4 7
4 9
4 10
5 1
5 2
5 5
5 6
5 7
5 10
6 1
6 4
6 5
6 7
7 1
7 3
7 4
8 3
8 4
8 8
9 2
9 3
9 7
9 8
9 10
10 1
10 2
10 6
10 7
10 8
10 9
10 10
2
10 10
48
1 2
1 4
1 5
1 7
1 8
1 9
1 10
2 1
2 3
2 ...

output:

998244350
1
998244334
998244347
998244348

result:

ok 5 lines

Test #3:

score: 5
Accepted
time: 3ms
memory: 5660kb

input:

5
2
10 10
55
1 5
1 6
2 1
2 3
2 4
2 6
2 7
2 8
2 9
2 10
3 3
3 4
3 5
3 6
3 7
3 10
4 1
4 2
4 3
4 4
4 6
4 7
4 8
4 10
5 1
5 2
5 3
5 5
5 7
6 1
6 2
6 4
6 6
7 3
7 5
7 8
7 9
8 1
8 2
8 4
8 6
8 9
8 10
9 1
9 2
9 4
9 6
9 7
10 2
10 3
10 4
10 6
10 8
10 9
10 10
2
10 10
53
1 1
1 4
1 6
1 10
2 1
2 3
2 4
2 6
2 7
2 8
2 9...

output:

5
998244349
1
1
1

result:

ok 5 lines

Test #4:

score: 5
Accepted
time: 4ms
memory: 5528kb

input:

5
2
10 10
53
1 1
1 2
1 5
1 6
1 7
1 10
2 2
2 3
2 8
3 2
3 3
3 5
3 9
3 10
4 1
4 5
4 6
4 7
4 8
4 9
5 1
5 2
5 3
5 5
5 7
5 10
6 5
6 7
6 8
6 9
6 10
7 4
7 6
7 8
7 9
7 10
8 1
8 2
8 5
8 9
9 1
9 2
9 4
9 5
9 10
10 1
10 2
10 3
10 4
10 6
10 7
10 9
10 10
2
10 10
50
1 1
1 4
1 8
1 10
2 3
2 4
2 5
2 7
2 10
3 2
3 3
3 4...

output:

998244343
998244352
998244347
998244343
998244343

result:

ok 5 lines

Test #5:

score: 5
Accepted
time: 3ms
memory: 5668kb

input:

5
10
10 10 10 10 10 10 10 10 10 10
13 10 18 15 18 18 15 14 13
5 4
4 7
9 6
8 9
10 2
2 1
7 8
3 5
6 10
1 3
2 4
5 8
3 8
4 7
7 8
6 10
9 1
2 2
1 4
8 6
5 9
10 3
3 5
7 9
8 2
10 10
1 1
2 4
4 8
6 7
9 5
3 6
5 3
1 4
5 2
10 7
4 10
4 6
2 10
4 2
1 5
9 5
2 6
10 3
1 10
4 2
8 4
7 1
5 8
6 7
3 9
1 9
8 3
5 6
1 4
9 8
5 8...

output:

1
998244352
1
0
998244352

result:

ok 5 lines

Test #6:

score: 5
Accepted
time: 2ms
memory: 5816kb

input:

5
10
10 10 10 10 10 10 10 10 10 10
16 16 14 17 10 12 15 16 13
5 8
1 10
7 2
9 1
6 4
2 7
8 6
3 3
4 9
10 5
5 4
9 6
7 5
1 1
3 5
1 2
8 7
10 6
2 9
1 5
4 3
7 8
6 4
3 10
9 2
5 1
10 5
2 7
4 8
3 3
3 1
4 2
7 7
6 6
9 10
5 5
3 2
8 1
4 3
10 4
2 9
1 8
1 9
4 10
9 2
10 8
7 3
6 10
10 5
5 1
2 4
1 2
3 6
4 8
9 7
8 9
6 9...

output:

1
1
998244352
0
998244352

result:

ok 5 lines

Test #7:

score: 5
Accepted
time: 4ms
memory: 7700kb

input:

5
10
10 10 10 10 10 10 10 10 10 10
55 49 52 51 47 48 58 49 39
1 1
1 3
1 9
2 2
2 3
2 7
2 8
2 10
3 1
3 2
3 3
3 4
3 5
3 6
3 8
4 1
4 2
4 3
4 5
4 7
4 9
4 10
5 6
5 9
5 10
6 1
6 5
6 6
6 7
6 9
6 10
7 1
7 2
7 3
7 4
7 5
7 6
7 7
7 10
8 3
8 4
8 5
8 6
8 7
8 8
8 9
8 10
9 7
9 8
9 9
10 1
10 2
10 3
10 4
10 5
1 1
1 3...

output:

25344
19440
997437953
46080
997544513

result:

ok 5 lines

Test #8:

score: 5
Accepted
time: 1ms
memory: 5676kb

input:

5
10
10 10 10 10 10 10 10 10 10 10
43 48 45 52 50 52 52 46 54
1 1
1 3
1 5
1 6
1 9
1 10
2 1
2 2
2 3
2 5
2 6
2 7
3 5
3 7
3 8
4 3
4 4
4 5
4 7
4 9
5 1
5 2
5 5
5 7
5 10
6 2
6 3
6 6
6 8
7 10
8 1
8 2
8 3
8 6
8 9
9 1
9 4
9 5
9 9
10 1
10 6
10 7
10 8
1 1
1 2
1 4
1 7
2 1
2 2
2 7
2 8
2 9
3 2
3 3
3 4
3 5
3 6
3 8...

output:

998237441
998050817
1920
138240
998239553

result:

ok 5 lines

Test #9:

score: 5
Accepted
time: 4ms
memory: 7780kb

input:

5
10
10 13 10 13 10 10 12 11 11 10
58 62 62 64 49 55 62 57 51
1 2
1 5
1 6
1 9
2 7
2 10
2 11
2 12
2 13
3 4
3 5
3 8
3 9
3 11
3 12
4 2
4 3
4 7
4 11
4 12
5 2
5 4
5 6
5 7
5 8
5 10
5 11
5 13
6 4
6 5
6 6
6 7
6 8
6 10
6 11
6 12
7 2
7 4
7 6
7 8
7 9
7 12
7 13
8 1
8 2
8 6
8 7
8 9
8 10
8 12
9 4
9 6
9 8
9 13
10 ...

output:

0
431535363
869602600
0
462374665

result:

ok 5 lines

Test #10:

score: 5
Accepted
time: 3ms
memory: 5780kb

input:

5
10
10 14 11 10 10 13 10 13 10 10
66 75 55 45 66 53 60 66 56
1 1
1 5
1 7
1 9
2 2
2 5
2 6
2 10
2 12
3 1
3 6
3 7
3 12
3 14
4 3
4 4
4 5
4 7
4 10
4 12
4 13
4 14
5 3
5 5
5 11
5 12
5 13
5 14
6 3
6 4
6 6
6 8
6 9
6 13
6 14
7 1
7 3
7 4
7 6
7 7
7 9
7 12
7 13
7 14
8 1
8 2
8 3
8 7
8 8
8 9
8 10
8 11
8 12
9 1
9 ...

output:

509445037
210531260
116561285
0
480038571

result:

ok 5 lines

Test #11:

score: 5
Accepted
time: 5ms
memory: 7692kb

input:

5
2
10 10
56
1 1
1 2
1 3
1 5
1 6
1 7
1 9
2 1
2 3
2 5
2 7
2 9
3 2
3 3
3 4
3 8
3 10
4 1
4 2
4 5
4 6
5 1
5 2
5 3
5 4
5 7
5 8
5 10
6 1
6 2
6 3
6 7
7 1
7 3
7 4
7 5
7 6
7 7
7 8
8 1
8 2
8 3
8 4
8 5
8 7
9 2
9 4
9 8
9 9
10 1
10 2
10 3
10 4
10 7
10 9
10 10
2
10 10
46
1 1
1 2
1 3
1 5
1 7
1 9
2 2
2 7
2 8
2 9
3 ...

output:

998244347
7
547857492
998244348
998244349

result:

ok 5 lines

Test #12:

score: 5
Accepted
time: 5ms
memory: 5800kb

input:

5
2
10 10
42
1 1
1 4
1 5
1 7
1 8
2 1
2 2
2 8
3 1
3 5
3 6
3 8
4 3
4 5
5 1
5 3
5 4
5 7
5 9
5 10
6 2
6 6
6 8
7 1
7 3
7 4
7 10
8 3
8 4
8 8
8 10
9 3
9 5
9 7
9 8
9 10
10 2
10 4
10 5
10 6
10 8
10 9
2
100 100
4905
1 1
1 2
1 5
1 6
1 7
1 10
1 13
1 14
1 15
1 17
1 18
1 20
1 24
1 25
1 26
1 27
1 28
1 29
1 30
1 32...

output:

998244341
530973746
2
0
1

result:

ok 5 lines

Test #13:

score: 5
Accepted
time: 3ms
memory: 5804kb

input:

5
2
10 10
58
1 1
1 2
1 4
1 9
1 10
2 2
2 3
2 6
2 7
2 8
3 3
3 6
3 7
3 8
3 9
3 10
4 1
4 2
4 5
4 6
4 7
4 8
5 1
5 2
5 3
5 4
5 5
5 7
5 8
5 9
5 10
6 1
6 2
6 5
6 6
6 7
6 9
7 3
7 4
7 5
7 6
7 7
7 8
7 10
8 1
8 4
8 5
8 9
8 10
9 2
9 5
9 8
9 9
9 10
10 2
10 6
10 7
10 8
2
10 10
55
1 1
1 5
1 7
1 8
1 10
2 1
2 2
2 4
2...

output:

3
998244351
998244348
2
741330205

result:

ok 5 lines

Test #14:

score: 5
Accepted
time: 9ms
memory: 7984kb

input:

5
100
10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 ...

output:

1
998244352
1
0
1

result:

ok 5 lines

Test #15:

score: 5
Accepted
time: 4ms
memory: 5940kb

input:

5
100
10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 ...

output:

0
1
998244352
1
998244352

result:

ok 5 lines

Test #16:

score: 5
Accepted
time: 36ms
memory: 9760kb

input:

5
100
10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 ...

output:

334543195
834743238
64906936
887345970
749415036

result:

ok 5 lines

Test #17:

score: 5
Accepted
time: 37ms
memory: 10036kb

input:

5
100
10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 ...

output:

551005664
774916190
258165927
333831611
45511363

result:

ok 5 lines

Test #18:

score: 5
Accepted
time: 47ms
memory: 10084kb

input:

5
100
10 15 13 13 12 13 13 13 10 13 11 11 11 12 11 12 13 11 12 13 10 10 10 11 11 12 12 10 10 10 11 10 12 12 10 13 12 12 12 11 10 12 13 12 13 13 12 10 10 11 10 12 10 10 10 12 11 12 12 10 12 12 11 15 13 12 10 11 12 12 10 11 11 10 10 12 11 12 13 13 10 13 13 13 10 11 11 11 12 10 11 13 10 12 10 10 13 11 ...

output:

0
131476393
674791629
0
453887582

result:

ok 5 lines

Test #19:

score: 5
Accepted
time: 41ms
memory: 10236kb

input:

5
100
10 12 10 13 10 12 13 12 12 13 10 11 13 12 13 12 10 12 13 12 10 12 12 12 10 10 13 12 10 10 13 11 10 12 11 12 10 10 13 11 11 11 12 10 11 11 11 13 13 13 13 11 11 12 10 10 13 13 10 11 13 11 11 15 10 10 13 11 12 12 13 10 11 13 12 13 11 10 11 10 13 13 10 10 13 11 13 13 10 13 12 13 13 11 13 11 11 12 ...

output:

0
654380406
500344548
0
452282079

result:

ok 5 lines

Test #20:

score: 5
Accepted
time: 46ms
memory: 10296kb

input:

5
100
100 119 112 115 121 120 115 112 137 116 150 123 115 113 112 113 130 118 104 127 103 122 123 118 116 139 102 117 137 111 131 135 106 119 135 106 119 103 115 124 123 135 135 122 134 117 106 128 115 121 115 115 131 112 124 135 120 113 174 113 106 115 101 124 101 117 126 130 113 105 124 139 129 12...

output:

50989987
555456312
817057040
0
277357563

result:

ok 5 lines

Extra Test:

score: 0
Extra Test Passed