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
#370026#7774. 基础寄术练习题wsyear100 ✓157ms14284kbC++142.1kb2024-03-28 21:12:482024-03-28 21:13:46

Judging History

This is the latest submission verdict.

  • [2024-03-28 21:13:46]
  • Judged
  • Verdict: 100
  • Time: 157ms
  • Memory: 14284kb
  • [2024-03-28 21:12:48]
  • Submitted

answer

#include <bits/stdc++.h>

#define rep(i, j, k) for (int i = (j); i <= (k); ++i)
#define per(i, j, k) for (int i = (j); i >= (k); --i)
#define SZ(v) int((v).size())
#define ALL(v) (v).begin(),(v).end()
#define fi first
#define se second
using ll = long long;
using pii = std::pair<int, int>;
using pll = std::pair<ll, ll>;

template<class T> void chkmn(T &x, T y) { if (y < x) x = y; }
template<class T> void chkmx(T &x, T y) { if (y > x) x = y; }

using namespace std;

const int maxn = 110;

int n, m, k, mod, f[maxn][maxn], g[2][maxn][maxn * maxn][2], inv[maxn * maxn];

inline void add(int &x, int y) { x += y; if (x >= mod) x -= mod; }
inline void sub(int &x, int y) { x -= y; if (x < 0) x += mod; }
inline int Add(int x, int y) { x += y; if (x >= mod) x -= mod; return x; }
inline int Sub(int x, int y) { x -= y; if (x < 0) x += mod; return x; }

inline int fpw(int a, int p) {
  int res = 1;
  while (p) {
    if (p & 1) res = 1ll * res * a % mod;
    a = 1ll * a * a % mod, p >>= 1;
  }
  return res;
}

int main() {
  cin.tie(nullptr) -> ios::sync_with_stdio(false);
  cin >> n >> m >> k >> mod;
  rep (i, 1, m * (m + 1) / 2) inv[i] = fpw(i, mod - 2);
  if (k == 1) {
    f[0][0] = 1;
    rep (i, 1, m) rep (j, 0, n) {
      add(f[i][j], f[i - 1][j]);
      if (j) add(f[i][j], 1ll * f[i - 1][j - 1] * inv[i] % mod);
    }
    cout << f[m][n] << '\n';
  } else {
    g[0][0][0][0] = 1;
    rep (i, 1, m) {
      rep (j, 0, m) rep (k, 0, m * (m + 1) / 2) rep (p, 0, 1) g[i & 1][j][k][p] = 0;
      rep (j, 0, m) rep (k, 0, m * (m + 1) / 2) rep (p, 0, 1) {
        if (!g[(i & 1) ^ 1][j][k][p]) continue;
        add(g[i & 1][j][k][p], g[(i & 1) ^ 1][j][k][p]); // 不放入 S
        add(g[i & 1][j + 1][k][p], 1ll * g[(i & 1) ^ 1][j][k][p] * inv[i] % mod); // 放入 S,不放入 T
        sub(g[i & 1][j + 1][k + i][p], 1ll * g[(i & 1) ^ 1][j][k][p] * inv[i] % mod); // 放入 T
        if (!p) add(g[i & 1][j + 1][k + i][1], 1ll * g[(i & 1) ^ 1][j][k][p] * i % mod); // a1
      }
    }
    int ans = 0;
    rep (i, 1, m * (m + 1) / 2) add(ans, 1ll * g[m & 1][n][i][1] * inv[i] % mod);
    cout << ans << '\n';
  }
}

詳細信息

Subtask #1:

score: 10
Accepted

Test #1:

score: 10
Accepted
time: 0ms
memory: 3708kb

input:

9 16 1 327134593

output:

162102742

result:

ok single line: '162102742'

Test #2:

score: 0
Accepted
time: 1ms
memory: 3620kb

input:

11 18 1 834359503

output:

256188485

result:

ok single line: '256188485'

Test #3:

score: 0
Accepted
time: 1ms
memory: 3720kb

input:

18 18 1 614802701

output:

552168146

result:

ok single line: '552168146'

Test #4:

score: 0
Accepted
time: 2ms
memory: 7796kb

input:

7 16 2 861918403

output:

306693876

result:

ok single line: '306693876'

Test #5:

score: 0
Accepted
time: 0ms
memory: 7812kb

input:

11 17 2 617904383

output:

393900291

result:

ok single line: '393900291'

Subtask #2:

score: 25
Accepted

Test #6:

score: 25
Accepted
time: 0ms
memory: 3668kb

input:

60 98 1 715015339

output:

690737273

result:

ok single line: '690737273'

Test #7:

score: 0
Accepted
time: 2ms
memory: 3764kb

input:

96 97 1 507892589

output:

481151247

result:

ok single line: '481151247'

Test #8:

score: 0
Accepted
time: 0ms
memory: 3684kb

input:

90 95 1 621080027

output:

255353202

result:

ok single line: '255353202'

Test #9:

score: 0
Accepted
time: 1ms
memory: 3672kb

input:

85 94 1 297115421

output:

122254364

result:

ok single line: '122254364'

Test #10:

score: 0
Accepted
time: 0ms
memory: 3664kb

input:

81 91 1 460412027

output:

148037986

result:

ok single line: '148037986'

Subtask #3:

score: 15
Accepted

Test #11:

score: 15
Accepted
time: 3ms
memory: 9984kb

input:

29 29 2 545875273

output:

171843225

result:

ok single line: '171843225'

Test #12:

score: 0
Accepted
time: 3ms
memory: 7928kb

input:

29 29 2 342070607

output:

291380196

result:

ok single line: '291380196'

Test #13:

score: 0
Accepted
time: 3ms
memory: 8032kb

input:

30 30 2 293965439

output:

148471965

result:

ok single line: '148471965'

Test #14:

score: 0
Accepted
time: 3ms
memory: 7984kb

input:

30 30 2 528219961

output:

203632962

result:

ok single line: '203632962'

Test #15:

score: 0
Accepted
time: 1ms
memory: 3672kb

input:

30 30 1 202836509

output:

158493990

result:

ok single line: '158493990'

Subtask #4:

score: 10
Accepted

Test #16:

score: 10
Accepted
time: 3ms
memory: 10028kb

input:

27 30 2 360712453

output:

80987914

result:

ok single line: '80987914'

Test #17:

score: 0
Accepted
time: 3ms
memory: 7924kb

input:

26 29 2 377615957

output:

278812897

result:

ok single line: '278812897'

Test #18:

score: 0
Accepted
time: 0ms
memory: 9988kb

input:

22 30 2 163686233

output:

19517828

result:

ok single line: '19517828'

Test #19:

score: 0
Accepted
time: 0ms
memory: 7936kb

input:

20 29 2 785657729

output:

713061509

result:

ok single line: '713061509'

Test #20:

score: 0
Accepted
time: 1ms
memory: 3620kb

input:

24 29 1 374090597

output:

312615700

result:

ok single line: '312615700'

Subtask #5:

score: 15
Accepted

Test #21:

score: 15
Accepted
time: 3ms
memory: 10084kb

input:

29 38 2 909155077

output:

745973305

result:

ok single line: '745973305'

Test #22:

score: 0
Accepted
time: 6ms
memory: 10224kb

input:

40 40 2 1067474879

output:

995503334

result:

ok single line: '995503334'

Test #23:

score: 0
Accepted
time: 5ms
memory: 8112kb

input:

32 37 2 751116719

output:

699924081

result:

ok single line: '699924081'

Test #24:

score: 0
Accepted
time: 2ms
memory: 8104kb

input:

33 37 2 496100951

output:

21741458

result:

ok single line: '21741458'

Test #25:

score: 0
Accepted
time: 1ms
memory: 3632kb

input:

34 38 1 499914887

output:

386116226

result:

ok single line: '386116226'

Subtask #6:

score: 10
Accepted

Test #26:

score: 10
Accepted
time: 31ms
memory: 8148kb

input:

57 66 2 767174999

output:

315351738

result:

ok single line: '315351738'

Test #27:

score: 0
Accepted
time: 41ms
memory: 8436kb

input:

52 69 2 399947623

output:

237685494

result:

ok single line: '237685494'

Test #28:

score: 0
Accepted
time: 31ms
memory: 8204kb

input:

63 64 2 903693961

output:

520250635

result:

ok single line: '520250635'

Test #29:

score: 0
Accepted
time: 40ms
memory: 8808kb

input:

65 70 2 268454909

output:

255864893

result:

ok single line: '255864893'

Test #30:

score: 0
Accepted
time: 1ms
memory: 3712kb

input:

58 68 1 562105223

output:

175445185

result:

ok single line: '175445185'

Subtask #7:

score: 15
Accepted

Test #31:

score: 15
Accepted
time: 148ms
memory: 14284kb

input:

96 96 2 453296971

output:

222864385

result:

ok single line: '222864385'

Test #32:

score: 0
Accepted
time: 157ms
memory: 13160kb

input:

85 96 2 859572601

output:

457416092

result:

ok single line: '457416092'

Test #33:

score: 0
Accepted
time: 150ms
memory: 12676kb

input:

89 94 2 753918677

output:

366789523

result:

ok single line: '366789523'

Test #34:

score: 0
Accepted
time: 122ms
memory: 13396kb

input:

91 92 2 202806031

output:

64270709

result:

ok single line: '64270709'

Test #35:

score: 0
Accepted
time: 2ms
memory: 3680kb

input:

100 100 1 493945957

output:

109570004

result:

ok single line: '109570004'