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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
#113818#5546. Sharing BreadPetroTarnavskyi#AC ✓2ms3616kbC++171.8kb2023-06-19 16:04:232023-06-19 16:04:26

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.
  • [2023-06-19 16:04:26]
  • 评测
  • 测评结果:AC
  • 用时:2ms
  • 内存:3616kb
  • [2023-06-19 16:04:23]
  • 提交

answer

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

#define SZ(a) (int)a.size()
#define ALL(a) a.begin(), a.end()
#define FOR(i, a, b) for (int i = (a); i<(b); ++i)
#define RFOR(i, b, a) for (int i = (b)-1; i>=(a); --i)
#define FILL(a, val) memset(a, val, sizeof a)
#define MP make_pair
#define PB push_back
#define F first
#define S second


typedef long long LL;
typedef pair<int, int> PII;
typedef vector<int> VI;

const int mod = 998244353;
int add(int a, int b){
	return (a + b > mod) ? (a + b - mod) : (a + b);
}
int sub(int a, int b){
	return (a - b < 0) ? (a - b + mod) : (a - b);
}
int mult(int a, int b){
	return 1LL* a * b % mod;
}
int binpow(int a, int n){
	int res = 1;
	while(n){
		if(n & 1)
			res = mult(res, a);
		a = mult(a, a);
		n /= 2;
	}
	return res;
}

const int N = 100;
int dp[N][N];
int fact[N], ober[N];
int C(int n, int k){
	if(k < 0 || k > n)
		return 0;
	return mult(fact[n], mult(ober[k], ober[n - k]));
}
void pre(){
	fact[0] = 1;
	FOR(i, 1, N)
		fact[i] = mult(fact[i - 1], i);
	ober[N - 1] = binpow(fact[N - 1], mod - 2);
	RFOR(i, N, 1)
		ober[i - 1] = mult(ober[i], i);
}


int solve(int n, int m){
	if(m > n)
		return 0;
	if(n == 0)
		return 1;
	if(dp[n][m] != -1)
		return dp[n][m];
	int ans = 0;
	FOR(k, 0, m + 1){
		int cur = mult(C(m, k), solve(n - 1, m - k));
		ans = add(ans, cur);
	}
	return dp[n][m] = ans;
}

int ans(int n, int m){
	int res = n + 1 - m;
	FOR(i, 0, m - 1)
		res = mult(res, n + 1);
	return res;
}

int main()
{
	ios::sync_with_stdio(false);
	cin.tie(0);
	int n, m;
	cin >> n >> m;
	cout << ans(n, m) << endl;

/*	pre();
	FILL(dp, -1);
	
	FOR(n, 1, N){
		FOR(m, 1, n + 1){
			cout << solve(n, m) << " ";
			assert(solve(n, m) == ans(n, m));
		}
		cout << endl;
	}
*/		
	
	
	
	return 0;
}


詳細信息

Test #1:

score: 100
Accepted
time: 1ms
memory: 3436kb

input:

4 3

output:

50

result:

ok single line: '50'

Test #2:

score: 0
Accepted
time: 1ms
memory: 3524kb

input:

10 1

output:

10

result:

ok single line: '10'

Test #3:

score: 0
Accepted
time: 1ms
memory: 3608kb

input:

2 2

output:

3

result:

ok single line: '3'

Test #4:

score: 0
Accepted
time: 1ms
memory: 3524kb

input:

1 1

output:

1

result:

ok single line: '1'

Test #5:

score: 0
Accepted
time: 0ms
memory: 3444kb

input:

277 277

output:

124662617

result:

ok single line: '124662617'

Test #6:

score: 0
Accepted
time: 0ms
memory: 3452kb

input:

426 1

output:

426

result:

ok single line: '426'

Test #7:

score: 0
Accepted
time: 1ms
memory: 3616kb

input:

200000 1

output:

200000

result:

ok single line: '200000'

Test #8:

score: 0
Accepted
time: 2ms
memory: 3448kb

input:

200000 200000

output:

950017432

result:

ok single line: '950017432'

Test #9:

score: 0
Accepted
time: 1ms
memory: 3384kb

input:

200000 100000

output:

280947286

result:

ok single line: '280947286'

Test #10:

score: 0
Accepted
time: 1ms
memory: 3552kb

input:

200000 84731

output:

211985425

result:

ok single line: '211985425'

Test #11:

score: 0
Accepted
time: 2ms
memory: 3616kb

input:

200000 124713

output:

716696526

result:

ok single line: '716696526'

Test #12:

score: 0
Accepted
time: 0ms
memory: 3528kb

input:

129179 49655

output:

506429515

result:

ok single line: '506429515'

Test #13:

score: 0
Accepted
time: 1ms
memory: 3452kb

input:

87518 26040

output:

808454539

result:

ok single line: '808454539'

Test #14:

score: 0
Accepted
time: 1ms
memory: 3372kb

input:

178355 10116

output:

361555714

result:

ok single line: '361555714'

Test #15:

score: 0
Accepted
time: 0ms
memory: 3376kb

input:

2 1

output:

2

result:

ok single line: '2'

Test #16:

score: 0
Accepted
time: 1ms
memory: 3572kb

input:

192733 52550

output:

67181038

result:

ok single line: '67181038'

Test #17:

score: 0
Accepted
time: 1ms
memory: 3380kb

input:

76689 36632

output:

717949287

result:

ok single line: '717949287'

Test #18:

score: 0
Accepted
time: 1ms
memory: 3448kb

input:

200000 9

output:

158524471

result:

ok single line: '158524471'

Test #19:

score: 0
Accepted
time: 1ms
memory: 3524kb

input:

200000 199998

output:

879727659

result:

ok single line: '879727659'

Test #20:

score: 0
Accepted
time: 1ms
memory: 3456kb

input:

199952 1

output:

199952

result:

ok single line: '199952'

Test #21:

score: 0
Accepted
time: 2ms
memory: 3456kb

input:

199947 199947

output:

339118685

result:

ok single line: '339118685'

Test #22:

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

input:

199956 99978

output:

135867461

result:

ok single line: '135867461'

Test #23:

score: 0
Accepted
time: 1ms
memory: 3460kb

input:

2 2

output:

3

result:

ok single line: '3'

Test #24:

score: 0
Accepted
time: 1ms
memory: 3572kb

input:

10 3

output:

968

result:

ok single line: '968'

Test #25:

score: 0
Accepted
time: 0ms
memory: 3612kb

input:

10 5

output:

87846

result:

ok single line: '87846'

Test #26:

score: 0
Accepted
time: 0ms
memory: 3552kb

input:

10 9

output:

428717762

result:

ok single line: '428717762'

Test #27:

score: 0
Accepted
time: 1ms
memory: 3552kb

input:

279 166

output:

945780025

result:

ok single line: '945780025'

Test #28:

score: 0
Accepted
time: 1ms
memory: 3460kb

input:

361 305

output:

926296326

result:

ok single line: '926296326'

Test #29:

score: 0
Accepted
time: 1ms
memory: 3440kb

input:

305 262

output:

465560336

result:

ok single line: '465560336'