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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#737093 | #9619. 乘积,欧拉函数,求和 | fsy_juruo | WA | 1ms | 3776kb | C++17 | 1.9kb | 2024-11-12 14:36:44 | 2024-11-12 14:36:54 |
Judging History
answer
#include <bits/stdc++.h>
using LL = long long;
const int MOD = 998244353;
const int maxN = 3e3 + 10;
int pi, primes[maxN], vis[maxN], phi[maxN];
int n, a[maxN], d[maxN][maxN], inv[maxN], f[maxN];
int pow_mod(int a, int b = MOD - 2) {
int sum = 1;
while(b) {
if(b & 1) sum = 1ll * sum * a % MOD;
a = 1ll * a * a % MOD;
b >>= 1;
}
return sum;
}
void sieve(int LIM) {
pi = 0;
for(int i = 2; i <= LIM; i++) {
if(!vis[i]) {
primes[++pi] = i;
phi[i] = i - 1;
}
for(int j = 1; j <= pi && primes[j] <= LIM / i; j++) {
vis[i * primes[j]] = primes[j];
if(i % primes[j] == 0) {
phi[i * primes[j]] = phi[i] * primes[j];
} else {
phi[i * primes[j]] = phi[i] * (primes[j] - 1);
}
}
}
}
int main() {
std::ios::sync_with_stdio(false); std::cin.tie(nullptr);
std::cin >> n;
for(int i = 1; i <= n; i++) {
std::cin >> a[i];
}
phi[1] = 1;
sieve(3000);
for(int i = 1; i <= 3000; i++) inv[i] = pow_mod(i);
// for(int i = 1; i <= 100; i++) {
// std::cout << inv[i] << " \n"[i % 10 == 0];
// }
for(int i = 1; i <= n; i++) {
for(int j = i + 1; j <= n; j++) {
d[i][j] = std::__gcd(a[i], a[j]);
}
}
int ans = 1;
for(int i = n; i >= 1; i--) {
// f[i] = phi[a[i]];
f[i] = phi[a[i]];
for(int j = i + 1; j <= n; j++) {
f[i] = (f[i] + 1ll * f[j] * phi[a[i]] % MOD * d[i][j] % MOD * inv[phi[d[i][j]]] % MOD) % MOD;
}
ans = (ans + f[i]) % MOD;
// std::cout << f[i] << "\n";
// int res = phi[a[i]];
// std::cout << phi[a[i]] << "\n";
// for(int j = i + 1; j <= n; j++) {
// res = 1ll * res * (1ll * phi[a[j]] * d[i][j] % MOD * inv[phi[d[i][j]]] % MOD + 1) % MOD;
// std::cout << d[i][j] << " " << phi[d[i][j]] << " " << i << " " << j << "\n";
// }
// ans = (ans + res) % MOD;
// std::cout << res << '\n';
}
std::cout << ans % MOD << "\n";
return 0;
}
Details
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Test #1:
score: 0
Wrong Answer
time: 1ms
memory: 3776kb
input:
5 1 6 8 6 2
output:
700
result:
wrong answer 1st lines differ - expected: '892', found: '700'