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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#462997#6333. Festivals in JOI Kingdom 2alpha1022100 ✓4052ms4276kbC++141.8kb2024-07-04 11:02:312024-07-04 11:02:31

Judging History

你现在查看的是最新测评结果

  • [2024-07-04 11:02:31]
  • 评测
  • 测评结果:100
  • 用时:4052ms
  • 内存:4276kb
  • [2024-07-04 11:02:31]
  • 提交

answer

#include <bits/stdc++.h>

using namespace std;

using ull = unsigned long long;
using L = __uint128_t;

int mod;

struct FastMod {
  ull b, m;
  FastMod(ull b) : b(b), m(ull((L(1) << 64) / b)) {}
  ull operator()(ull a) {
    ull q = (ull)((L(m) * a) >> 64);
    ull r = a - q * b; // can be proven that 0 <= r < 2*b
    return r >= b ? r - b : r;
  }
} R(2);
int norm(int x) { return x >= mod ? x - mod : x; }
int reduce(int x) { return x < 0 ? x + mod : x; }
int neg(int x) { return x ? mod - x : 0; }
int quo2(int x) { return (x + (x & 1 ? mod : 0)) >> 1; }
void add(int &x, int y) { x += y, x = x >= mod ? x - mod : x; }
void sub(int &x, int y) { x -= y, x = x < 0 ? x + mod : x; }
void fam(int &x, int y, int z) { x = R(x + (ull)y * z); }
int mpow(int a, int b) {
  int ret = 1;
  for (; b; b >>= 1) {
    if (b & 1) ret = R((ull)ret * a);
    a = R((ull)a * a);
  }
  return ret;
}

const int N = 2e4;

int n;
int fac[N * 4 + 5], ifac[N * 4 + 5];
int f[N + 5][2], ans = 1;

int main() {
  scanf("%d%d", &n, &mod), R = FastMod(mod), fac[0] = 1;
  for (int i = 1; i <= n * 2; ++i) fac[i] = R((ull)fac[i - 1] * i);
  ifac[n * 2] = mpow(fac[n * 2], mod - 2);
  for (int i = n * 2; i; --i) ifac[i - 1] = R((ull)ifac[i] * i);
  f[1][0] = f[2][1] = 1;
  for (int i = 1; i <= n; ++i)
    for (int u = 0; u < 2; ++u)
      if (f[i][u])
        for (int j = 0; i + j <= n; ++j)
          for (int v = 0; v < 2 && i + j + v <= n; ++v) {
            ull t = f[i][u];
            if (v) t *= j + 1 + u;
            if (u) t *= j + 1;
            f[i + j + v + 1][v] = R(f[i + j + v + 1][v] + R(R(t) * fac[i * 2 - 2 - u + j]) * ifac[i * 2 - 2 - u]);
          }
  for (int i = 3; i <= n * 2; i += 2) ans = R((ull)ans * i);
  sub(ans, f[n + 1][0]), printf("%d\n", ans);
}

Details

Tip: Click on the bar to expand more detailed information

Subtask #1:

score: 5
Accepted

Test #1:

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

input:

1 194903119

output:

0

result:

ok 1 number(s): "0"

Test #2:

score: 0
Accepted
time: 0ms
memory: 3812kb

input:

2 933234047

output:

0

result:

ok 1 number(s): "0"

Test #3:

score: 0
Accepted
time: 0ms
memory: 4068kb

input:

3 277793111

output:

2

result:

ok 1 number(s): "2"

Test #4:

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

input:

4 355321177

output:

28

result:

ok 1 number(s): "28"

Test #5:

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

input:

5 306636893

output:

358

result:

ok 1 number(s): "358"

Subtask #2:

score: 5
Accepted

Dependency #1:

100%
Accepted

Test #6:

score: 5
Accepted
time: 0ms
memory: 4040kb

input:

8 361605653

output:

1236922

result:

ok 1 number(s): "1236922"

Test #7:

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

input:

8 995512643

output:

1236922

result:

ok 1 number(s): "1236922"

Test #8:

score: 0
Accepted
time: 0ms
memory: 3804kb

input:

8 101102801

output:

1236922

result:

ok 1 number(s): "1236922"

Test #9:

score: 0
Accepted
time: 0ms
memory: 3804kb

input:

6 458322727

output:

4894

result:

ok 1 number(s): "4894"

Test #10:

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

input:

7 721691819

output:

73884

result:

ok 1 number(s): "73884"

Test #11:

score: 0
Accepted
time: 0ms
memory: 3732kb

input:

7 370629137

output:

73884

result:

ok 1 number(s): "73884"

Subtask #3:

score: 27
Accepted

Dependency #1:

100%
Accepted

Dependency #2:

100%
Accepted

Test #12:

score: 27
Accepted
time: 0ms
memory: 3732kb

input:

30 779092367

output:

686412377

result:

ok 1 number(s): "686412377"

Test #13:

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

input:

29 963995171

output:

128570082

result:

ok 1 number(s): "128570082"

Test #14:

score: 0
Accepted
time: 0ms
memory: 4068kb

input:

18 666092701

output:

185922458

result:

ok 1 number(s): "185922458"

Test #15:

score: 0
Accepted
time: 0ms
memory: 3804kb

input:

14 671243719

output:

623913899

result:

ok 1 number(s): "623913899"

Subtask #4:

score: 14
Accepted

Dependency #1:

100%
Accepted

Dependency #2:

100%
Accepted

Dependency #3:

100%
Accepted

Test #16:

score: 14
Accepted
time: 1ms
memory: 4080kb

input:

300 463478027

output:

89265245

result:

ok 1 number(s): "89265245"

Test #17:

score: 0
Accepted
time: 1ms
memory: 3784kb

input:

296 567610679

output:

406342763

result:

ok 1 number(s): "406342763"

Test #18:

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

input:

297 609090359

output:

128986577

result:

ok 1 number(s): "128986577"

Test #19:

score: 0
Accepted
time: 0ms
memory: 3848kb

input:

48 759569383

output:

635573072

result:

ok 1 number(s): "635573072"

Test #20:

score: 0
Accepted
time: 0ms
memory: 3876kb

input:

99 298873033

output:

285340078

result:

ok 1 number(s): "285340078"

Subtask #5:

score: 36
Accepted

Dependency #1:

100%
Accepted

Dependency #2:

100%
Accepted

Dependency #3:

100%
Accepted

Dependency #4:

100%
Accepted

Test #21:

score: 36
Accepted
time: 92ms
memory: 3844kb

input:

3000 752129633

output:

33058561

result:

ok 1 number(s): "33058561"

Test #22:

score: 0
Accepted
time: 91ms
memory: 3928kb

input:

2993 491173567

output:

343277625

result:

ok 1 number(s): "343277625"

Test #23:

score: 0
Accepted
time: 91ms
memory: 4132kb

input:

2993 783095563

output:

776085006

result:

ok 1 number(s): "776085006"

Test #24:

score: 0
Accepted
time: 1ms
memory: 3804kb

input:

327 399783431

output:

163535283

result:

ok 1 number(s): "163535283"

Test #25:

score: 0
Accepted
time: 16ms
memory: 4104kb

input:

1233 857060207

output:

422139845

result:

ok 1 number(s): "422139845"

Test #26:

score: 0
Accepted
time: 13ms
memory: 4104kb

input:

1114 600227447

output:

598509129

result:

ok 1 number(s): "598509129"

Subtask #6:

score: 13
Accepted

Dependency #1:

100%
Accepted

Dependency #2:

100%
Accepted

Dependency #3:

100%
Accepted

Dependency #4:

100%
Accepted

Dependency #5:

100%
Accepted

Test #27:

score: 13
Accepted
time: 4046ms
memory: 4276kb

input:

20000 221054167

output:

39809956

result:

ok 1 number(s): "39809956"

Test #28:

score: 0
Accepted
time: 4052ms
memory: 4248kb

input:

19997 823974001

output:

267537750

result:

ok 1 number(s): "267537750"

Test #29:

score: 0
Accepted
time: 4043ms
memory: 4244kb

input:

19991 501689843

output:

16527909

result:

ok 1 number(s): "16527909"

Test #30:

score: 0
Accepted
time: 2079ms
memory: 4144kb

input:

14344 925452091

output:

212324779

result:

ok 1 number(s): "212324779"

Test #31:

score: 0
Accepted
time: 376ms
memory: 3940kb

input:

6098 507350869

output:

310480789

result:

ok 1 number(s): "310480789"

Test #32:

score: 0
Accepted
time: 313ms
memory: 4156kb

input:

5564 406069759

output:

105694337

result:

ok 1 number(s): "105694337"

Extra Test:

score: 0
Extra Test Passed