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ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#398061 | #1882. Drunkards | deepthought | WA | 1ms | 3600kb | C++23 | 2.7kb | 2024-04-24 21:41:35 | 2024-04-24 21:41:35 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
template <int MOD> struct modint{
static const int mod = MOD;
int v;
operator int() const {return v;}
modint():v(0) {}
modint(long long _v):v(int(_v%MOD)) {v += (v<0)*MOD;}
modint& operator+=(modint o) {if((v += o.v) >= MOD) v-= MOD; return *this;}
modint& operator-=(modint o) {if((v -= o.v) < 0) v+= MOD; return *this;}
modint& operator*=(modint o) {v = int((long long)v*o.v%MOD); return *this;}
modint& operator/=(modint o) {return *this *= inv(o);}
friend modint pow(modint a, long long p) {
modint ans = 1; assert(p >= 0);
for (; p; p /= 2, a *= a) if (p&1) ans *= a;
return ans; } friend modint inv(modint a) {assert(a.v != 0); return pow(a, MOD-2);}
friend modint operator+(modint a, modint b) {return a += b;}
friend modint operator-(modint a, modint b) {return a -= b;}
friend modint operator*(modint a, modint b) {return a *= b;}
friend modint operator/(modint a, modint b) {return a /= b;}
};
using mint = modint<(int)998244353>;
int main() {
int n, pp;
cin >> n >> pp;
mint stay = (mint)pp * inv((mint)100);
mint move = (mint)(100 - pp) * inv((mint)100);
vector <int> arr(n + 1);
for(int i = 1; i <= n; i++){
cin >> arr[i];
}
mint home_prob = inv(mint(2 * n + 1));
mint leave_prob = home_prob * (mint)(2 * n);
mint dp[2 * n + 1][2 * n + 1];
for(int i = 0; i < 2 * n + 1; i++){
for(int j = 0; j < 2 * n + 1; j++) {
dp[i][j] = 0;
}
}
// dp[time][distance]
// you reach there at least once
dp[0][n] = (mint) 1; // distance n - n = 0, can go + (n-n)
for(int time = 1; time <= n; time++) {
for(int distance = 0; distance <= 2 * n; distance++) {
dp[time][distance] = dp[time - 1][distance] * stay;
if(distance > 0) {
if(arr[time] == 1) {
dp[time][distance] += dp[time - 1][distance - 1] * move;
}
}
if(distance < 2 * n) {
if(arr[time] == -1) {
dp[time][distance] += dp[time - 1][distance + 1] * move;
}
}
}
// dp[time][n] = (mint) 1;
}
mint answer = (mint) 0;
for(int i = 0; i <= 2 * n; i++) {
answer += dp[n][i];
}
answer *= home_prob;
// cout << (dp[2][3]) << endl;
// cout << (move * stay * (mint) 2 + move*move) << endl;
// _ _ N _ _
cout << answer << endl;
}
/*
d.in: 340310575
a.in: 702764025
_ _ _ N _ _ _
*/
Details
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Test #1:
score: 0
Wrong Answer
time: 1ms
memory: 3600kb
input:
2 28 1 1
output:
598946612
result:
wrong answer 1st numbers differ - expected: '702764025', found: '598946612'