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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 |
---|---|---|---|---|---|---|---|---|---|
#618330 | #2834. Nonsense | Mine_King | WA | 150ms | 101724kb | C++14 | 1.9kb | 2024-10-06 21:00:38 | 2024-10-06 21:00:38 |
Judging History
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];
struct query{int a, b;} qry[200005];
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);
while (scanf("%d%d%d%d", &n, &x, &y, &q) != EOF) {
int lim = 0;
for (int i = 1; i <= q; i++)
scanf("%d%d", &qry[i].a, &qry[i].b), lim = max({lim, qry[i].a, qry[i].b});
down[0] = 1;
for (int i = 1; i <= lim; i++) down[i] = (long long)down[i - 1] * (n + 1 - i + 1) % mod;
inv[0] = inv[1] = 1;
for (int i = 2; i <= lim; i++)
inv[i] = (long long)(mod - mod / i) * inv[mod % i] % mod;
for (int i = 2; i <= lim; 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, lim); i++)
for (int j = 0; j <= min(n, lim) && 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;
}
for (int i = 1; i <= q; i++)
if (qry[i].a + qry[i].b == n) puts("1");
else printf("%d\n", dp[qry[i].a][qry[i].b]);
}
return 0;
}
詳細信息
Test #1:
score: 100
Accepted
time: 0ms
memory: 3908kb
input:
3 1 2 2 1 1 1 2 100 2 3 1 1 1
output:
6 1 866021789
result:
ok 3 lines
Test #2:
score: 0
Accepted
time: 10ms
memory: 24380kb
input:
1000000000 0 1 1 1000 1000 2 0 0 1 1 1 2 998244352 998244352 1 1 1
output:
381781645 1 1
result:
ok 3 lines
Test #3:
score: 0
Accepted
time: 150ms
memory: 101724kb
input:
1000000000 998244351 998244352 1 5000 5000
output:
663228915
result:
ok single line: '663228915'
Test #4:
score: -100
Wrong Answer
time: 26ms
memory: 6016kb
input:
105886041 9 3 200 4 3 5 1 1 1 4 1 3 3 1 5 2 1 1 5 2 1 1 5 3 3 4 4 2 1 4 4 1 2 5 2 5 2 2 5 4 5 3 3 4 3 1 4 3 1 5 4 5 3 5 2 5 3 3 3 1 3 4 3 2 3 3 5 1 3 3 5 2 3 4 4 3 4 5 5 2 3 1 1 3 3 4 2 1 4 4 5 2 3 1 5 2 2 4 2 5 5 2 1 4 3 3 3 3 1 2 1 2 5 1 1 4 4 1 5 1 5 3 1 3 2 2 2 4 1 5 5 3 4 2 2 2 1 5 3 5 3 2 2 1 ...
output:
721440251 764408668 442427888 914530150 115811774 360614503 666106268 360614503 666106268 360614503 115811774 166867820 666106268 166867820 985976063 717651702 717651702 405340273 435048189 115811774 721440251 719754512 660548079 998056822 165742634 717651702 165742634 115811774 407319461 721440251 ...
result:
wrong answer 601st lines differ - expected: '693360471', found: '0'