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ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#411163 | #6566. Power of Divisors | DanielChang | AC ✓ | 2ms | 3956kb | C++17 | 1.2kb | 2024-05-15 02:47:25 | 2024-05-15 02:47:25 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define ld long double
#define endl '\n'
/*
Factoring Integers
Factor any integer such that N * N > n
*/
const int N = 1e5+7;
vector<bool> is_prime;
vector<ll> primes;
void init_factor(){
is_prime.assign(N+1, true);
primes.clear();
is_prime[0] = is_prime[1] = false;
for(int i=2; i*i<=N; i++)
for(int j=i*i; is_prime[i] && j<=N; j+=i)
is_prime[j] = false;
for(int i=2; i<=N; i++)
if(is_prime[i]) primes.push_back(i);
}
// factor(420) = [[2,2], [3,1], [5,1], [7,1]]
// factor(74) = [[2,1], [37,1]]
int factor(ll n){
assert(1LL*N*N > n);
int v = 0;
for(int i=1; i*i<=n; i++){
if(n%i == 0){
v++;
if(i*i != n) v++;
}
}
return v;
}
int main(){
ios::sync_with_stdio(false); cin.tie(0);
init_factor();
ll x;
cin >> x;
if(x==1){
cout << 1;
return 0;
}
ll ans = -1;
for(ll p=2; p<=1000; p++){
ll a = (ll) (pow((ld)x, (ld)1.0 / (ld)p) + 0.0000001);
// cout << a << "^" << p << endl;
ll z = 1;
for(int i=0; i<p; i++) z *= a;
if(z == x && factor(a) == p){
cout << a;
return 0;
}
}
cout << ans;
}
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 3804kb
input:
15625
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25
result:
ok single line: '25'
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time: 1ms
memory: 3828kb
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64000000
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score: 0
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time: 2ms
memory: 3872kb
input:
65536
output:
-1
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time: 1ms
memory: 3816kb
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Test #5:
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memory: 3828kb
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10
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Test #6:
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time: 2ms
memory: 3720kb
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Test #7:
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memory: 3940kb
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Test #33:
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memory: 3956kb
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memory: 3824kb
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score: 0
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memory: 3948kb
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9
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time: 2ms
memory: 3716kb
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memory: 3856kb
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memory: 3716kb
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memory: 3904kb
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memory: 3824kb
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memory: 3804kb
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score: 0
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time: 2ms
memory: 3768kb
input:
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-1
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ok single line: '-1'