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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#63988#4807. Melborp Lacissalcneko_nyaaAC ✓607ms3832kbC++232.0kb2022-11-23 20:59:202022-11-23 20:59:20

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.
  • [2022-11-23 20:59:20]
  • 评测
  • 测评结果:AC
  • 用时:607ms
  • 内存:3832kb
  • [2022-11-23 20:59:20]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;

#define int long long
const int M = 998244353;

long long modpow(long long n, long long k, long long MOD) {
	long long ans = 1;
	while (k > 0) {
		if (k & 1) ans = (ans*n) % MOD;
		n = (n*n) % MOD; k >>= 1;
	}
	return ans;
}

const int MAX = 5001;

long long ft[MAX];
long long ftinv[MAX];

void init() {
	ft[0] = 1;
	for (int i = 1; i < MAX; i++) {
		ft[i] = (ft[i-1]*i) % M;
	}
	ftinv[MAX - 1] = modpow(ft[MAX - 1], M-2, M);

	for (int i = MAX - 2; i >= 0; i--) {
		ftinv[i] = (ftinv[i+1]*(i+1)) % M;
	}
}

long long nCk(int n, int k) {
	if (k < 0 || k > n) return 0;
	if (k == 0 || k == n) return 1;
	return ft[n] * (ftinv[k] * ftinv[n-k] % M) % M; 
}

int n, k, t, ans;

set<vector<int>> stv;

void generate(int id, int nleft, int tleft, vector<int> cz) {
	if (id == -1) {
		for (int i = 1; i <= nleft; i++) {
			if (tleft >= i*(i-1)/2) {
				cz.push_back(i);
				generate(nleft, nleft-i, tleft - i*(i-1)/2, cz);
				cz.pop_back();
			}
		}
		return;
	}
	if (tleft == 0) {
		for (int i = 0; i < nleft; i++) {
			cz.push_back(1);
		}
		stv.insert(cz);
		return;
	}
	if (id == 1) {
		return;
	}

	int sf = id*(id-1)/2;
	while (1) {
		generate(id-1, nleft, tleft, cz);
		nleft -= id; tleft -= sf; cz.push_back(id);
		if (nleft < 0 || tleft < 0) break;
	}
}

signed main() {
	ios::sync_with_stdio(0); cin.tie(0);
	init();
	
	cin >> n >> k >> t;
	vector<int> cz;
	generate(-1, n+1, t, cz);

	for (auto v: stv) {
		int wae = 1; int cz = k-1;
		for (int i = 1; i < v.size();) {
			int j = i;
			while (j < v.size() && v[i] == v[j]) {
				j++;
			}
			wae = (wae*nCk(cz, j-i)) % M;
			cz -= j-i; 
			i = j;
		}

		int tmp = nCk(n, v[0]-1), slots = n-(v[0]-1);
		for (int i = 1; i < v.size(); i++) {
			tmp = (tmp*nCk(slots, v[i])) % M;
			slots -= v[i];
		}
		tmp = (tmp*wae) % M;
		ans = (ans + tmp) % M;

		//for (int i: v) cout << i << ' ';
		//	cout << '\n';
		//	cout << tmp << '\n';
	}
	cout << ans << '\n';

	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3284kb

input:

2 5 1

output:

12

result:

ok 1 number(s): "12"

Test #2:

score: 0
Accepted
time: 0ms
memory: 3492kb

input:

7 10 15

output:

2016

result:

ok 1 number(s): "2016"

Test #3:

score: 0
Accepted
time: 20ms
memory: 3832kb

input:

46 50 171

output:

645560469

result:

ok 1 number(s): "645560469"

Test #4:

score: 0
Accepted
time: 2ms
memory: 3272kb

input:

64 64 0

output:

0

result:

ok 1 number(s): "0"

Test #5:

score: 0
Accepted
time: 2ms
memory: 3504kb

input:

64 64 1

output:

326126263

result:

ok 1 number(s): "326126263"

Test #6:

score: 0
Accepted
time: 0ms
memory: 3344kb

input:

63 64 0

output:

4476118

result:

ok 1 number(s): "4476118"

Test #7:

score: 0
Accepted
time: 2ms
memory: 3284kb

input:

11 45 14

output:

963276342

result:

ok 1 number(s): "963276342"

Test #8:

score: 0
Accepted
time: 4ms
memory: 3416kb

input:

35 20 565

output:

0

result:

ok 1 number(s): "0"

Test #9:

score: 0
Accepted
time: 2ms
memory: 3484kb

input:

3 64 5

output:

0

result:

ok 1 number(s): "0"

Test #10:

score: 0
Accepted
time: 6ms
memory: 3360kb

input:

35 45 153

output:

181934997

result:

ok 1 number(s): "181934997"

Test #11:

score: 0
Accepted
time: 2ms
memory: 3340kb

input:

3 25 5

output:

0

result:

ok 1 number(s): "0"

Test #12:

score: 0
Accepted
time: 8ms
memory: 3308kb

input:

35 5 373

output:

740122840

result:

ok 1 number(s): "740122840"

Test #13:

score: 0
Accepted
time: 2ms
memory: 3292kb

input:

3 50 5

output:

0

result:

ok 1 number(s): "0"

Test #14:

score: 0
Accepted
time: 4ms
memory: 3408kb

input:

35 30 592

output:

0

result:

ok 1 number(s): "0"

Test #15:

score: 0
Accepted
time: 0ms
memory: 3360kb

input:

3 11 1

output:

540

result:

ok 1 number(s): "540"

Test #16:

score: 0
Accepted
time: 7ms
memory: 3304kb

input:

35 55 352

output:

656633208

result:

ok 1 number(s): "656633208"

Test #17:

score: 0
Accepted
time: 120ms
memory: 3804kb

input:

54 38 356

output:

215089708

result:

ok 1 number(s): "215089708"

Test #18:

score: 0
Accepted
time: 3ms
memory: 3364kb

input:

22 19 189

output:

0

result:

ok 1 number(s): "0"

Test #19:

score: 0
Accepted
time: 121ms
memory: 3516kb

input:

54 63 401

output:

987604839

result:

ok 1 number(s): "987604839"

Test #20:

score: 0
Accepted
time: 0ms
memory: 3488kb

input:

22 43 171

output:

827743481

result:

ok 1 number(s): "827743481"

Test #21:

score: 0
Accepted
time: 124ms
memory: 3468kb

input:

54 24 446

output:

551546514

result:

ok 1 number(s): "551546514"

Test #22:

score: 0
Accepted
time: 3ms
memory: 3324kb

input:

22 4 152

output:

0

result:

ok 1 number(s): "0"

Test #23:

score: 0
Accepted
time: 136ms
memory: 3436kb

input:

54 48 1306

output:

0

result:

ok 1 number(s): "0"

Test #24:

score: 0
Accepted
time: 2ms
memory: 3348kb

input:

22 29 7

output:

374430631

result:

ok 1 number(s): "374430631"

Test #25:

score: 0
Accepted
time: 132ms
memory: 3364kb

input:

54 9 1351

output:

0

result:

ok 1 number(s): "0"

Test #26:

score: 0
Accepted
time: 2ms
memory: 3284kb

input:

22 54 5

output:

267958047

result:

ok 1 number(s): "267958047"

Test #27:

score: 0
Accepted
time: 607ms
memory: 3292kb

input:

64 32 1315

output:

494251101

result:

ok 1 number(s): "494251101"

Test #28:

score: 0
Accepted
time: 6ms
memory: 3416kb

input:

33 12 332

output:

765350074

result:

ok 1 number(s): "765350074"

Test #29:

score: 0
Accepted
time: 2ms
memory: 3272kb

input:

1 57 1

output:

1

result:

ok 1 number(s): "1"

Test #30:

score: 0
Accepted
time: 3ms
memory: 3432kb

input:

33 37 363

output:

0

result:

ok 1 number(s): "0"

Test #31:

score: 0
Accepted
time: 2ms
memory: 3396kb

input:

1 17 0

output:

16

result:

ok 1 number(s): "16"

Test #32:

score: 0
Accepted
time: 5ms
memory: 3424kb

input:

33 62 148

output:

871819399

result:

ok 1 number(s): "871819399"

Test #33:

score: 0
Accepted
time: 0ms
memory: 3492kb

input:

1 42 0

output:

41

result:

ok 1 number(s): "41"

Test #34:

score: 0
Accepted
time: 3ms
memory: 3504kb

input:

33 23 179

output:

23699248

result:

ok 1 number(s): "23699248"

Test #35:

score: 0
Accepted
time: 3ms
memory: 3400kb

input:

1 3 1

output:

1

result:

ok 1 number(s): "1"

Test #36:

score: 0
Accepted
time: 7ms
memory: 3496kb

input:

33 47 211

output:

267909794

result:

ok 1 number(s): "267909794"

Test #37:

score: 0
Accepted
time: 2ms
memory: 3348kb

input:

11 26 32

output:

0

result:

ok 1 number(s): "0"

Test #38:

score: 0
Accepted
time: 24ms
memory: 3500kb

input:

43 6 579

output:

280289125

result:

ok 1 number(s): "280289125"

Test #39:

score: 0
Accepted
time: 2ms
memory: 3404kb

input:

11 50 5

output:

865381083

result:

ok 1 number(s): "865381083"

Test #40:

score: 0
Accepted
time: 24ms
memory: 3352kb

input:

43 31 750

output:

0

result:

ok 1 number(s): "0"

Test #41:

score: 0
Accepted
time: 2ms
memory: 3496kb

input:

11 11 12

output:

753565341

result:

ok 1 number(s): "753565341"

Test #42:

score: 0
Accepted
time: 23ms
memory: 3460kb

input:

43 56 290

output:

575236094

result:

ok 1 number(s): "575236094"

Test #43:

score: 0
Accepted
time: 2ms
memory: 3344kb

input:

11 36 52

output:

0

result:

ok 1 number(s): "0"

Test #44:

score: 0
Accepted
time: 2ms
memory: 3344kb

input:

44 16 0

output:

0

result:

ok 1 number(s): "0"

Test #45:

score: 0
Accepted
time: 2ms
memory: 3352kb

input:

12 61 31

output:

682427534

result:

ok 1 number(s): "682427534"

Test #46:

score: 0
Accepted
time: 24ms
memory: 3368kb

input:

44 41 365

output:

759457870

result:

ok 1 number(s): "759457870"

Test #47:

score: 0
Accepted
time: 2ms
memory: 3356kb

input:

22 19 70

output:

247296498

result:

ok 1 number(s): "247296498"

Test #48:

score: 0
Accepted
time: 130ms
memory: 3392kb

input:

54 64 444

output:

418216086

result:

ok 1 number(s): "418216086"

Test #49:

score: 0
Accepted
time: 1ms
memory: 3436kb

input:

22 44 52

output:

779702126

result:

ok 1 number(s): "779702126"

Test #50:

score: 0
Accepted
time: 139ms
memory: 3340kb

input:

54 25 1303

output:

0

result:

ok 1 number(s): "0"

Test #51:

score: 0
Accepted
time: 0ms
memory: 3416kb

input:

22 5 49

output:

219556981

result:

ok 1 number(s): "219556981"

Test #52:

score: 0
Accepted
time: 136ms
memory: 3340kb

input:

54 49 1269

output:

0

result:

ok 1 number(s): "0"

Test #53:

score: 0
Accepted
time: 3ms
memory: 3356kb

input:

22 30 14

output:

719775605

result:

ok 1 number(s): "719775605"

Test #54:

score: 0
Accepted
time: 159ms
memory: 3340kb

input:

54 10 1314

output:

0

result:

ok 1 number(s): "0"

Test #55:

score: 0
Accepted
time: 2ms
memory: 3348kb

input:

22 54 12

output:

325137058

result:

ok 1 number(s): "325137058"

Test #56:

score: 0
Accepted
time: 136ms
memory: 3368kb

input:

54 35 1359

output:

0

result:

ok 1 number(s): "0"

Test #57:

score: 0
Accepted
time: 2ms
memory: 3360kb

input:

33 13 335

output:

202725820

result:

ok 1 number(s): "202725820"

Test #58:

score: 0
Accepted
time: 599ms
memory: 3424kb

input:

64 64 2080

output:

1

result:

ok 1 number(s): "1"

Test #59:

score: 0
Accepted
time: 2ms
memory: 3360kb

input:

1 1 0

output:

0

result:

ok 1 number(s): "0"

Test #60:

score: 0
Accepted
time: 0ms
memory: 3292kb

input:

1 1 1

output:

1

result:

ok 1 number(s): "1"

Test #61:

score: 0
Accepted
time: 520ms
memory: 3364kb

input:

63 63 2016

output:

1

result:

ok 1 number(s): "1"