QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#618310#2834. NonsenseMine_KingWA 0ms3896kbC++141.7kb2024-10-06 20:50:052024-10-06 20:50:06

Judging History

你现在查看的是最新测评结果

  • [2024-10-06 20:50:06]
  • 评测
  • 测评结果:WA
  • 用时:0ms
  • 内存:3896kb
  • [2024-10-06 20:50:05]
  • 提交

answer

// Think twice, code once.
#include <cstdio>
#include <string>
#include <cstring>
#include <iostream>
#include <algorithm>
#define eputchar(c) putc(c, stderr)
#define eprintf(...) fprintf(stderr, __VA_ARGS__)
#define eputs(str) fputs(str, stderr), putc('\n', stderr)
using namespace std;

const int mod = 998244353;

int n, x, y, q;
int inv[5005], down[5005], dp[5005][5005];

int Cn(int m) {return (long long)down[m] * inv[m] % mod;}
int power(int a, int b) {
	int ans = 1;
	while (b) {
		if (b & 1) ans = (long long)ans * a % mod;
		a = (long long)a * a % mod;
		b >>= 1;
	}
	return ans % mod;
}

int main() {
	// freopen("count.in", "r", stdin);
	// freopen("count.out", "w", stdout);
	scanf("%d%d%d%d", &n, &x, &y, &q);
	down[0] = 1;
	for (int i = 1; i <= 5000; i++) down[i] = (long long)down[i - 1] * (n + 1 - i + 1) % mod;
	inv[0] = inv[1] = 1;
	for (int i = 2; i <= 5000; i++)
		inv[i] = (long long)(mod - mod / i) * inv[mod % i] % mod;
	for (int i = 2; i <= 5000; i++) inv[i] = (long long)inv[i - 1] * inv[i] % mod;
	int invxmy = power((x - y + mod) % mod, mod - 2);
	dp[0][0] = (long long)(power(x, n + 1) - power(y, n + 1) + mod) * invxmy % mod;
	for (int i = 0; i <= min(n, 5000); i++)
		for (int j = 0; j <= min(n, 5000) && i + j <= n; j++)
			if (i || j) {
				if (!i)
					dp[i][j] =
						(dp[i][j - 1] - (long long)Cn(j) * power(y, n + 1 - j) % mod + mod) * invxmy % mod;
				if (!j)
					dp[i][j] =
						((long long)Cn(i) * power(x, n + 1 - i) % mod - dp[i - 1][j] + mod) * invxmy % mod;
				if (i && j) dp[i][j] = (long long)(dp[i][j - 1] - dp[i - 1][j] + mod) * invxmy % mod;
			}
	while (q--) {
		int a, b;
		scanf("%d%d", &a, &b);
		printf("%d\n", dp[a][b]);
	}
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 0
Wrong Answer
time: 0ms
memory: 3896kb

input:

3 1 2 2
1 1
1 2
100 2 3 1
1 1

output:

6
1

result:

wrong answer 3rd lines differ - expected: '866021789', found: ''