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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#117956#6333. Festivals in JOI Kingdom 2Unique_Hanpi100 ✓2881ms596676kbC++143.8kb2023-07-02 17:55:092023-07-02 17:55:10

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.
  • [2023-07-02 17:55:10]
  • 评测
  • 测评结果:100
  • 用时:2881ms
  • 内存:596676kb
  • [2023-07-02 17:55:09]
  • 提交

answer

#include <bits/stdc++.h>
#define lowbit(x) (x & -x)
#define eb emplace_back
#define pb push_back
#define mp make_pair
using namespace std;

typedef long long ll;
typedef vector<int> poly;
const int N = 2e4+5;

int n, Mod, ans = 1;
int f[N][2];
ll Bfac[N * 2], Bifac[N * 2], *fac = Bfac + 2, *ifac = Bifac + 2;

inline ll qpow(int a, int b) {
	ll base = a, ans = 1;
	while (b) {
		if (b & 1) ans = ans * base % Mod;
		base = base * base % Mod;
		b >>= 1;
	}
	return ans;
}

inline void Add(int &a, int b) { a += b; if (a >= Mod) a -= Mod; }
inline void Add(ll &a, int b) { a += b; if (a >= Mod) a -= Mod; }

inline poly add(const poly &x, const poly &y) {
	int n = x.size(), m = y.size();
	poly ret = x;
	if (m > n) ret.resize(m);
	for (int i = 0; i < m; i++) Add(ret[i], y[i]);
	return ret;
}

inline poly sub(const poly &x, const poly &y) {
	int n = x.size(), m = y.size();
	poly ret = x;
	if (m > n) ret.resize(m);
	for (int i = 0; i < m; i++) Add(ret[i], Mod - y[i]);
	return ret;
}

inline poly mul(const poly &x, const poly &y) {
	int n = x.size(), m = y.size();
	if (!n || !m) return poly();

	poly ret(n + m - 1, 0);
	// if (1) {
	if ((ll) n * m <= 128) {
		for (int i = 0; i < n; i++)
			for (int j = 0; j < m; j++)
				ret[i + j] = (ret[i + j] + (ll) x[i] * y[j]) % Mod;
		return ret;
	}

	int mid = min(max(n, m) / 2, min(n, m));
	poly B = poly(x.begin(), x.begin() + mid), A = poly(x.begin() + mid, x.end());
	poly D = poly(y.begin(), y.begin() + mid), C = poly(y.begin() + mid, y.end());
	poly r0 = mul(B, D), r1 = mul(A, C), r2 = sub(sub(mul(add(A, B), add(C, D)), r0), r1);
	for (int i = r0.size(); i--; ) ret[i] = r0[i];
	for (int i = r1.size(); i--; ) Add(ret[i + 2 * mid], r1[i]);
	for (int i = r2.size(); i--; ) Add(ret[i + mid], r2[i]);
	return ret;
}

inline ll c0(int p, int q, ll j) { return (p * q * j * j + (p + q - p * q) * j) % Mod; }
inline ll c1(int p, int q, ll i) { return (p * q * i * i + (p * q - p - q) * i + (1 - p) * (1 - q) + Mod) % Mod; }

void solve(int l, int r) {
	if (l == r) return;
	int mid = (l + r) >> 1;
	solve(l, mid);
	// printf("|%d %d|\n", l, r);
	for (int p = 0; p < 2; p++)
		for (int q = 0; q < 2; q++) {
			poly A(mid - l + 1, 0), B(r - l, 0), C;

			for (int i = 0; i < r - l; i++) B[i] = fac[mid - 2 + l - q + i - p];
			if (p * q || (p + q - p * q)) {
				for (int i = l; i <= mid; i++) A[mid - i] = f[i][p] * ifac[2 * i - 2 - p] % Mod;
				C = mul(A, B);
				for (int i = mid - l; i <= r - l - 1; i++) {
					int j = i + 1 + l - q;
					Add(f[j + q][q], c0(p, q, j) * C[i] % Mod);
				}
			}

			if (p * q || (p * q - p - q) || (1 - p) * (1 - q)) {
				for (int i = l; i <= mid; i++) A[mid - i] = f[i][p] * ifac[2 * i - 2 - p] % Mod * c1(p, q, i) % Mod;
				C = mul(A, B);
				for (int i = mid - l; i <= r - l - 1; i++) Add(f[i + 1 + l][q], C[i]);
			}

			if (p * q) {
				for (int i = l; i <= mid; i++) A[mid - i] = f[i][p] * ifac[2 * i - 2 - p] % Mod * i % Mod;
				C = mul(A, B);
				for (int i = mid - l; i <= r - l - 1; i++) {
					int j = i + 1 + l - q;
					Add(f[j + q][q], Mod - C[i] * 2ll * j % Mod);
				}
			}
		}
	solve(mid + 1, r);
}

int main() {
	scanf("%d%d", &n, &Mod);

	fac[0] = 1;
	for (int i = 1; i <= 2 * n; i++) fac[i] = fac[i - 1] * i % Mod;
	ifac[2 * n] = qpow(fac[2 * n], Mod - 2);
	for (int i = 2 * n; i; i--) ifac[i - 1] = ifac[i] * i % Mod;

	f[1][0] = f[2][1] = 1;
	solve(1, n);

	for (int i = 3; i <= 2 * n; i += 2) ans = (ll) ans * i % Mod;
	for (int i = 1; i <= n; i++)
		for (int p = 0; p < 2; p++) {
			// printf("|%d %d %d|\n", i, p, f[i][p]);
			ll t = f[i][p];
			if (p) t = t * (n - i + 1) % Mod;
			Add(ans, Mod - t * fac[n + i - 3 + !p] % Mod * ifac[2 * i - 3 + !p] % Mod);
		}

	printf("%d", ans);
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Subtask #1:

score: 5
Accepted

Test #1:

score: 5
Accepted
time: 1ms
memory: 3688kb

input:

1 194903119

output:

0

result:

ok 1 number(s): "0"

Test #2:

score: 0
Accepted
time: 1ms
memory: 3700kb

input:

2 933234047

output:

0

result:

ok 1 number(s): "0"

Test #3:

score: 0
Accepted
time: 0ms
memory: 3624kb

input:

3 277793111

output:

2

result:

ok 1 number(s): "2"

Test #4:

score: 0
Accepted
time: 0ms
memory: 3660kb

input:

4 355321177

output:

28

result:

ok 1 number(s): "28"

Test #5:

score: 0
Accepted
time: 1ms
memory: 3700kb

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: 3660kb

input:

8 361605653

output:

1236922

result:

ok 1 number(s): "1236922"

Test #7:

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

input:

8 995512643

output:

1236922

result:

ok 1 number(s): "1236922"

Test #8:

score: 0
Accepted
time: 0ms
memory: 3652kb

input:

8 101102801

output:

1236922

result:

ok 1 number(s): "1236922"

Test #9:

score: 0
Accepted
time: 1ms
memory: 3660kb

input:

6 458322727

output:

4894

result:

ok 1 number(s): "4894"

Test #10:

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

input:

7 721691819

output:

73884

result:

ok 1 number(s): "73884"

Test #11:

score: 0
Accepted
time: 0ms
memory: 3656kb

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: 1ms
memory: 3660kb

input:

29 963995171

output:

128570082

result:

ok 1 number(s): "128570082"

Test #14:

score: 0
Accepted
time: 1ms
memory: 3752kb

input:

18 666092701

output:

185922458

result:

ok 1 number(s): "185922458"

Test #15:

score: 0
Accepted
time: 1ms
memory: 3660kb

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: 3ms
memory: 3776kb

input:

300 463478027

output:

89265245

result:

ok 1 number(s): "89265245"

Test #17:

score: 0
Accepted
time: 0ms
memory: 3776kb

input:

296 567610679

output:

406342763

result:

ok 1 number(s): "406342763"

Test #18:

score: 0
Accepted
time: 3ms
memory: 3736kb

input:

297 609090359

output:

128986577

result:

ok 1 number(s): "128986577"

Test #19:

score: 0
Accepted
time: 1ms
memory: 3596kb

input:

48 759569383

output:

635573072

result:

ok 1 number(s): "635573072"

Test #20:

score: 0
Accepted
time: 1ms
memory: 3704kb

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: 104ms
memory: 17304kb

input:

3000 752129633

output:

33058561

result:

ok 1 number(s): "33058561"

Test #22:

score: 0
Accepted
time: 100ms
memory: 17476kb

input:

2993 491173567

output:

343277625

result:

ok 1 number(s): "343277625"

Test #23:

score: 0
Accepted
time: 99ms
memory: 17476kb

input:

2993 783095563

output:

776085006

result:

ok 1 number(s): "776085006"

Test #24:

score: 0
Accepted
time: 3ms
memory: 3776kb

input:

327 399783431

output:

163535283

result:

ok 1 number(s): "163535283"

Test #25:

score: 0
Accepted
time: 23ms
memory: 5672kb

input:

1233 857060207

output:

422139845

result:

ok 1 number(s): "422139845"

Test #26:

score: 0
Accepted
time: 19ms
memory: 5736kb

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: 2798ms
memory: 596676kb

input:

20000 221054167

output:

39809956

result:

ok 1 number(s): "39809956"

Test #28:

score: 0
Accepted
time: 2881ms
memory: 596616kb

input:

19997 823974001

output:

267537750

result:

ok 1 number(s): "267537750"

Test #29:

score: 0
Accepted
time: 2818ms
memory: 596296kb

input:

19991 501689843

output:

16527909

result:

ok 1 number(s): "16527909"

Test #30:

score: 0
Accepted
time: 1578ms
memory: 310148kb

input:

14344 925452091

output:

212324779

result:

ok 1 number(s): "212324779"

Test #31:

score: 0
Accepted
time: 348ms
memory: 59864kb

input:

6098 507350869

output:

310480789

result:

ok 1 number(s): "310480789"

Test #32:

score: 0
Accepted
time: 281ms
memory: 50660kb

input:

5564 406069759

output:

105694337

result:

ok 1 number(s): "105694337"

Extra Test:

score: 0
Extra Test Passed