QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#251941#7774. 基础寄术练习题zhoukangyang100 ✓207ms13136kbC++112.1kb2023-11-15 13:32:362023-11-15 13:32:37

Judging History

你现在查看的是最新测评结果

  • [2023-11-15 13:32:37]
  • 评测
  • 测评结果:100
  • 用时:207ms
  • 内存:13136kb
  • [2023-11-15 13:32:36]
  • 提交

answer

#include<bits/stdc++.h>
#define L(i, j, k) for(int i = (j); i <= (k); ++i)
#define R(i, j, k) for(int i = (j); i >= (k); --i)
#define ll long long
#define vi vector <int>
#define sz(a) ((int) (a).size())
#define me(f, x) memset(f, x, sizeof(f))
#define uint unsigned int
#define ull unsigned long long 
#define i128 __int128
using namespace std;
const int N = 107;
int mod;
int qpow(int x, int y = mod - 2) {
	int res = 1;
	for(; y; x = (ll) x * x % mod, y >>= 1) if(y & 1) res = (ll) res * x % mod;
	return res;
}
int fac[N], ifac[N], inv[N];
void init(int x) {
	fac[0] = ifac[0] = inv[1] = 1;
	L(i, 2, x) inv[i] = (ll) (mod - mod / i) * inv[mod % i] % mod;
	L(i, 1, x) fac[i] = (ll) fac[i - 1] * i % mod, ifac[i] = (ll) ifac[i - 1] * inv[i] % mod;
} 
int C(int x, int y) {
	return x < y || y < 0 ? 0 : (ll) fac[x] * ifac[y] % mod * ifac[x - y] % mod;
}
inline int sgn(int x) {
	return (x & 1) ? mod - 1 : 1;
}
int n, m, k;
namespace solve1 {
	int dp[N], ndp[N];
	void slv() {
		dp[0] = 1;
		L(i, 1, m) {
			me(ndp, 0);
			L(j, 0, i) {
				(ndp[j] += dp[j]) %= mod;
				(ndp[j + 1] += (ll) dp[j] * inv[i] % mod) %= mod;
			}
			swap(dp, ndp);
		}
		cout << dp[n] << '\n';
	}
}
namespace solve2 {
	int dp[2][N][N * N / 2];
	int ndp[2][N][N * N / 2];
	void slv() {
		dp[0][0][0] = 1;
		L(i, 1, m) {
			me(ndp, 0);
			L(o, 0, 1) 
				L(j, 0, i) L(k, 0, i * (i - 1) / 2) if(dp[o][j][k]) {
					(ndp[o][j][k] += dp[o][j][k]) %= mod;
					(ndp[o][j + 1][k + i] += mod - (ll) dp[o][j][k] * inv[i] % mod) %= mod;
					(ndp[o][j + 1][k] += (ll) dp[o][j][k] * inv[i] % mod) %= mod;
				}
			L(j, 0, i) L(k, 0, i * (i - 1) / 2) if(dp[0][j][k]) {
				(ndp[1][j + 1][k + i] += (ll)dp[0][j][k] * i % mod) %= mod;
			}
			swap(dp, ndp);
		}
		int ans = 0;
		L(i, 1, m * (m + 1) / 2)
		 	if(dp[1][n][i]) 
		 		(ans += (ll) dp[1][n][i] * qpow(i) % mod) %= mod;
		cout << ans << '\n';
	}
	/*
	2 2 2 1000000007

	*/
}

int main () {
	ios :: sync_with_stdio(false);
	cin.tie(0); cout.tie(0);
	cin >> n >> m >> k >> mod;
	init(m + 1);
	if(k == 1) {
		solve1 :: slv();
	} else {
		solve2 :: slv();
	}
	return 0;
}


Details

Tip: Click on the bar to expand more detailed information

Subtask #1:

score: 10
Accepted

Test #1:

score: 10
Accepted
time: 1ms
memory: 3556kb

input:

9 16 1 327134593

output:

162102742

result:

ok single line: '162102742'

Test #2:

score: 0
Accepted
time: 1ms
memory: 3512kb

input:

11 18 1 834359503

output:

256188485

result:

ok single line: '256188485'

Test #3:

score: 0
Accepted
time: 0ms
memory: 3400kb

input:

18 18 1 614802701

output:

552168146

result:

ok single line: '552168146'

Test #4:

score: 0
Accepted
time: 8ms
memory: 13136kb

input:

7 16 2 861918403

output:

306693876

result:

ok single line: '306693876'

Test #5:

score: 0
Accepted
time: 10ms
memory: 12956kb

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: 3340kb

input:

60 98 1 715015339

output:

690737273

result:

ok single line: '690737273'

Test #7:

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

input:

96 97 1 507892589

output:

481151247

result:

ok single line: '481151247'

Test #8:

score: 0
Accepted
time: 1ms
memory: 3356kb

input:

90 95 1 621080027

output:

255353202

result:

ok single line: '255353202'

Test #9:

score: 0
Accepted
time: 1ms
memory: 3512kb

input:

85 94 1 297115421

output:

122254364

result:

ok single line: '122254364'

Test #10:

score: 0
Accepted
time: 0ms
memory: 3512kb

input:

81 91 1 460412027

output:

148037986

result:

ok single line: '148037986'

Subtask #3:

score: 15
Accepted

Test #11:

score: 15
Accepted
time: 16ms
memory: 12964kb

input:

29 29 2 545875273

output:

171843225

result:

ok single line: '171843225'

Test #12:

score: 0
Accepted
time: 12ms
memory: 13132kb

input:

29 29 2 342070607

output:

291380196

result:

ok single line: '291380196'

Test #13:

score: 0
Accepted
time: 16ms
memory: 12924kb

input:

30 30 2 293965439

output:

148471965

result:

ok single line: '148471965'

Test #14:

score: 0
Accepted
time: 14ms
memory: 12964kb

input:

30 30 2 528219961

output:

203632962

result:

ok single line: '203632962'

Test #15:

score: 0
Accepted
time: 0ms
memory: 3392kb

input:

30 30 1 202836509

output:

158493990

result:

ok single line: '158493990'

Subtask #4:

score: 10
Accepted

Test #16:

score: 10
Accepted
time: 21ms
memory: 13072kb

input:

27 30 2 360712453

output:

80987914

result:

ok single line: '80987914'

Test #17:

score: 0
Accepted
time: 15ms
memory: 12968kb

input:

26 29 2 377615957

output:

278812897

result:

ok single line: '278812897'

Test #18:

score: 0
Accepted
time: 20ms
memory: 13080kb

input:

22 30 2 163686233

output:

19517828

result:

ok single line: '19517828'

Test #19:

score: 0
Accepted
time: 15ms
memory: 13132kb

input:

20 29 2 785657729

output:

713061509

result:

ok single line: '713061509'

Test #20:

score: 0
Accepted
time: 0ms
memory: 3336kb

input:

24 29 1 374090597

output:

312615700

result:

ok single line: '312615700'

Subtask #5:

score: 15
Accepted

Test #21:

score: 15
Accepted
time: 24ms
memory: 12920kb

input:

29 38 2 909155077

output:

745973305

result:

ok single line: '745973305'

Test #22:

score: 0
Accepted
time: 26ms
memory: 12924kb

input:

40 40 2 1067474879

output:

995503334

result:

ok single line: '995503334'

Test #23:

score: 0
Accepted
time: 23ms
memory: 12956kb

input:

32 37 2 751116719

output:

699924081

result:

ok single line: '699924081'

Test #24:

score: 0
Accepted
time: 23ms
memory: 12952kb

input:

33 37 2 496100951

output:

21741458

result:

ok single line: '21741458'

Test #25:

score: 0
Accepted
time: 0ms
memory: 3388kb

input:

34 38 1 499914887

output:

386116226

result:

ok single line: '386116226'

Subtask #6:

score: 10
Accepted

Test #26:

score: 10
Accepted
time: 72ms
memory: 13004kb

input:

57 66 2 767174999

output:

315351738

result:

ok single line: '315351738'

Test #27:

score: 0
Accepted
time: 76ms
memory: 12920kb

input:

52 69 2 399947623

output:

237685494

result:

ok single line: '237685494'

Test #28:

score: 0
Accepted
time: 61ms
memory: 12916kb

input:

63 64 2 903693961

output:

520250635

result:

ok single line: '520250635'

Test #29:

score: 0
Accepted
time: 80ms
memory: 12952kb

input:

65 70 2 268454909

output:

255864893

result:

ok single line: '255864893'

Test #30:

score: 0
Accepted
time: 1ms
memory: 3336kb

input:

58 68 1 562105223

output:

175445185

result:

ok single line: '175445185'

Subtask #7:

score: 15
Accepted

Test #31:

score: 15
Accepted
time: 204ms
memory: 12964kb

input:

96 96 2 453296971

output:

222864385

result:

ok single line: '222864385'

Test #32:

score: 0
Accepted
time: 207ms
memory: 12964kb

input:

85 96 2 859572601

output:

457416092

result:

ok single line: '457416092'

Test #33:

score: 0
Accepted
time: 190ms
memory: 13076kb

input:

89 94 2 753918677

output:

366789523

result:

ok single line: '366789523'

Test #34:

score: 0
Accepted
time: 181ms
memory: 12964kb

input:

91 92 2 202806031

output:

64270709

result:

ok single line: '64270709'

Test #35:

score: 0
Accepted
time: 1ms
memory: 3308kb

input:

100 100 1 493945957

output:

109570004

result:

ok single line: '109570004'