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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#581301 | #9376. Game | cbbdhz | ML | 0ms | 3480kb | C++20 | 1.7kb | 2024-09-22 11:43:56 | 2024-09-22 11:43:57 |
Judging History
answer
#include<bits/stdc++.h>
#define ll long long
using namespace std;
const int mod = 998244353;
int qp(int a, int b, int mod) {
int ans = 1;
while (b) {
if (b & 1) {
ans = (ll)ans * a % mod;
}
b >>= 1;
a = (ll)a * a % mod;
}
return ans;
}
// 记忆化存储已经计算过的状态
unordered_map<ll, int> memo;
// 用于合并 chou1 和 chou2 为一个唯一的键
ll combine(int chou1, int chou2) {
return (ll)chou1 * 1000000000LL + chou2;
}
int dfs(int chou1, int chou2, int p1, int p2) {
if (chou1 <= 0) {
return 0;
}
if (chou2 <= 0) {
return 1;
}
ll key = combine(chou1, chou2);
if (memo.count(key)) {
return memo[key];
}
int temp = qp(p1 + p2, mod - 2, mod); // 计算 (p1 + p2) 的逆元
int pa = (ll)p1 * temp % mod; // Alice 赢的概率
int pb = (ll)p2 * temp % mod; // Bob 赢的概率
int nm1 = gcd(chou1, chou2 - chou1);
int nm2 = gcd(chou1 - chou2, chou2);
// 递归调用,注意对结果取模
memo[key] = ((ll)pa * dfs(chou1 / nm1, (chou2 - chou1) / nm1, p1, p2) % mod +
(ll)pb * dfs((chou1 - chou2) / nm2, chou2 / nm2, p1, p2) % mod) % mod;
return memo[key];
}
void solve() {
int a, b;
cin >> a >> b;
int temp = gcd(a, b);
a /= temp;
b /= temp;
int x, y, z;
cin >> x >> y >> z;
cout << dfs(a, b, x, y) << endl;
}
signed main() {
ios::sync_with_stdio(false);
cin.tie(0);
int T;
cin >> T;
while (T--) {
memo.clear(); // 每个测试用例清空记忆化数组
solve();
}
}
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 3480kb
input:
3 1 1 2 2 6 1 3 2 3 6 3 4 7 3 15
output:
499122177 910398850 220911476
result:
ok 3 lines
Test #2:
score: -100
Memory Limit Exceeded
input:
100000 1 1000000000 12980050 128257807 266126484 1 1000000000 400255084 123438563 768881284 1000000000 1000000000 24563487 72082135 450057094 1 1000000000 56952077 40876000 193815114 1000000000 1000000000 82048274 239365585 326520865 1000000000 1 309821265 346013425 963168258 1 1 104158269 199365020...