QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#410608 | #6566. Power of Divisors | DanielChang# | WA | 2ms | 4008kb | C++17 | 1.3kb | 2024-05-14 10:24:05 | 2024-05-14 10:24:07 |
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 = pow((ld)x, (ld)1.0 / (ld)p);
// cout << a << "^" << p << endl;
if((ll)pow(a, p) == x && factor(a) == p){
ans = max(ans, a);
}
if((ll)pow(a+1, p) == x && factor(a+1) == p){
ans = max(ans, a+1);
}
if((ll)pow(a-1, p) == x && factor(a-1) == p){
ans = max(ans, a-1);
}
}
cout << ans;
}
Details
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Test #1:
score: 100
Accepted
time: 1ms
memory: 4008kb
input:
15625
output:
25
result:
ok single line: '25'
Test #2:
score: 0
Accepted
time: 1ms
memory: 3904kb
input:
64000000
output:
20
result:
ok single line: '20'
Test #3:
score: 0
Accepted
time: 2ms
memory: 3912kb
input:
65536
output:
-1
result:
ok single line: '-1'
Test #4:
score: 0
Accepted
time: 1ms
memory: 3608kb
input:
1
output:
1
result:
ok single line: '1'
Test #5:
score: 0
Accepted
time: 1ms
memory: 3916kb
input:
10
output:
-1
result:
ok single line: '-1'
Test #6:
score: 0
Accepted
time: 1ms
memory: 3920kb
input:
100
output:
-1
result:
ok single line: '-1'
Test #7:
score: 0
Accepted
time: 1ms
memory: 3936kb
input:
10000
output:
10
result:
ok single line: '10'
Test #8:
score: 0
Accepted
time: 1ms
memory: 4008kb
input:
1000000000000000000
output:
100
result:
ok single line: '100'
Test #9:
score: -100
Wrong Answer
time: 1ms
memory: 3860kb
input:
10372926089038969
output:
-1
result:
wrong answer 1st lines differ - expected: '218089', found: '-1'