QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#238703 | #6566. Power of Divisors | Fyind# | AC ✓ | 2ms | 3816kb | C++20 | 1.3kb | 2023-11-04 17:18:16 | 2023-11-04 17:18:17 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define _ <<" "<<
#define sz(x) ((int) (x).size())
typedef pair<int, int> pii;
typedef long long ll;
const int maxn = 3e5 + 5;
typedef long long ll;
#define debug(x) cout<<#x<<':'<<x<<endl;
ll ksm(ll a,ll n){
ll ans=1;
while(n){
if(n&1){
ans=ans*a;
}
a=a*a;
n>>=1;
}
return ans;
}
double root(ll n,ll x){
double l=1,r=sqrt(n)+1;
while(l+1e-3<r){
double mid=(l+r)/2;
if(pow(mid,x)<=n) l=mid;
else r=mid;
}
long long w= round(l);
if(ksm(w,x)==n){
return w;
}
else {
return -1;
}
}
ll f(ll n){
ll ans=1;ll y=n;
for(int i=2;i<=sqrt(y+1);i++){
ll t=1;
while(n%i==0){
n/=i;t++;
}
ans*=t;
}
if(n!=1) ans*=2;
return ans;
}
void solve(){
ll n;
cin>>n;
if(n==1){
cout<<1<<endl;
return;
}
for(int k=2;k<200;k++){
ll w=root(n,k);
if(w==-1){
continue;
}
if(f(w)==k){
cout<<w<<endl;
return ;
}
}
cout<<-1<<endl;
}
int main(){
int T;
T=1;
while(T--){
solve();
}
}
Details
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Test #1:
score: 100
Accepted
time: 1ms
memory: 3544kb
input:
15625
output:
25
result:
ok single line: '25'
Test #2:
score: 0
Accepted
time: 0ms
memory: 3640kb
input:
64000000
output:
20
result:
ok single line: '20'
Test #3:
score: 0
Accepted
time: 1ms
memory: 3696kb
input:
65536
output:
-1
result:
ok single line: '-1'
Test #4:
score: 0
Accepted
time: 1ms
memory: 3268kb
input:
1
output:
1
result:
ok single line: '1'
Test #5:
score: 0
Accepted
time: 0ms
memory: 3644kb
input:
10
output:
-1
result:
ok single line: '-1'
Test #6:
score: 0
Accepted
time: 1ms
memory: 3544kb
input:
100
output:
-1
result:
ok single line: '-1'
Test #7:
score: 0
Accepted
time: 0ms
memory: 3816kb
input:
10000
output:
10
result:
ok single line: '10'
Test #8:
score: 0
Accepted
time: 0ms
memory: 3540kb
input:
1000000000000000000
output:
100
result:
ok single line: '100'
Test #9:
score: 0
Accepted
time: 0ms
memory: 3672kb
input:
10372926089038969
output:
218089
result:
ok single line: '218089'
Test #10:
score: 0
Accepted
time: 0ms
memory: 3524kb
input:
10642944803293201
output:
10157
result:
ok single line: '10157'
Test #11:
score: 0
Accepted
time: 0ms
memory: 3696kb
input:
10646534823110209
output:
103182047
result:
ok single line: '103182047'
Test #12:
score: 0
Accepted
time: 0ms
memory: 3628kb
input:
1073741824
output:
32
result:
ok single line: '32'
Test #13:
score: 0
Accepted
time: 2ms
memory: 3636kb
input:
121
output:
11
result:
ok single line: '11'
Test #14:
score: 0
Accepted
time: 0ms
memory: 3552kb
input:
1296
output:
6
result:
ok single line: '6'
Test #15:
score: 0
Accepted
time: 1ms
memory: 3588kb
input:
16
output:
-1
result:
ok single line: '-1'
Test #16:
score: 0
Accepted
time: 1ms
memory: 3696kb
input:
16277421889
output:
127583
result:
ok single line: '127583'
Test #17:
score: 0
Accepted
time: 0ms
memory: 3592kb
input:
169
output:
13
result:
ok single line: '13'
Test #18:
score: 0
Accepted
time: 1ms
memory: 3592kb
input:
1985984
output:
-1
result:
ok single line: '-1'
Test #19:
score: 0
Accepted
time: 1ms
memory: 3636kb
input:
2
output:
-1
result:
ok single line: '-1'
Test #20:
score: 0
Accepted
time: 0ms
memory: 3592kb
input:
205891132094649
output:
243
result:
ok single line: '243'
Test #21:
score: 0
Accepted
time: 0ms
memory: 3632kb
input:
25
output:
5
result:
ok single line: '5'
Test #22:
score: 0
Accepted
time: 0ms
memory: 3548kb
input:
2626114239841
output:
1273
result:
ok single line: '1273'
Test #23:
score: 0
Accepted
time: 0ms
memory: 3680kb
input:
26269395104446321
output:
12731
result:
ok single line: '12731'
Test #24:
score: 0
Accepted
time: 1ms
memory: 3544kb
input:
3
output:
-1
result:
ok single line: '-1'
Test #25:
score: 0
Accepted
time: 0ms
memory: 3640kb
input:
3596345248055296
output:
88
result:
ok single line: '88'
Test #26:
score: 0
Accepted
time: 1ms
memory: 3684kb
input:
36
output:
-1
result:
ok single line: '-1'
Test #27:
score: 0
Accepted
time: 1ms
memory: 3680kb
input:
4
output:
2
result:
ok single line: '2'
Test #28:
score: 0
Accepted
time: 1ms
memory: 3544kb
input:
4096
output:
8
result:
ok single line: '8'
Test #29:
score: 0
Accepted
time: 0ms
memory: 3660kb
input:
49
output:
7
result:
ok single line: '7'
Test #30:
score: 0
Accepted
time: 1ms
memory: 3700kb
input:
5
output:
-1
result:
ok single line: '-1'
Test #31:
score: 0
Accepted
time: 1ms
memory: 3668kb
input:
576460752303423488
output:
-1
result:
ok single line: '-1'
Test #32:
score: 0
Accepted
time: 0ms
memory: 3544kb
input:
581431415926321
output:
24112889
result:
ok single line: '24112889'
Test #33:
score: 0
Accepted
time: 1ms
memory: 3640kb
input:
6
output:
-1
result:
ok single line: '-1'
Test #34:
score: 0
Accepted
time: 0ms
memory: 3552kb
input:
64
output:
4
result:
ok single line: '4'
Test #35:
score: 0
Accepted
time: 0ms
memory: 3544kb
input:
656100000000
output:
30
result:
ok single line: '30'
Test #36:
score: 0
Accepted
time: 1ms
memory: 3580kb
input:
7
output:
-1
result:
ok single line: '-1'
Test #37:
score: 0
Accepted
time: 1ms
memory: 3660kb
input:
729
output:
9
result:
ok single line: '9'
Test #38:
score: 0
Accepted
time: 1ms
memory: 3660kb
input:
8
output:
-1
result:
ok single line: '-1'
Test #39:
score: 0
Accepted
time: 1ms
memory: 3644kb
input:
81
output:
-1
result:
ok single line: '-1'
Test #40:
score: 0
Accepted
time: 0ms
memory: 3636kb
input:
8527674378686464
output:
452
result:
ok single line: '452'
Test #41:
score: 0
Accepted
time: 0ms
memory: 3696kb
input:
9
output:
3
result:
ok single line: '3'
Test #42:
score: 0
Accepted
time: 1ms
memory: 3668kb
input:
982134461213542729
output:
994009
result:
ok single line: '994009'
Test #43:
score: 0
Accepted
time: 0ms
memory: 3664kb
input:
9992002399680016
output:
9998
result:
ok single line: '9998'
Test #44:
score: 0
Accepted
time: 1ms
memory: 3684kb
input:
999269311525198921
output:
-1
result:
ok single line: '-1'
Test #45:
score: 0
Accepted
time: 1ms
memory: 3668kb
input:
999949000866995087
output:
-1
result:
ok single line: '-1'
Test #46:
score: 0
Accepted
time: 1ms
memory: 3680kb
input:
999995482005103081
output:
-1
result:
ok single line: '-1'
Test #47:
score: 0
Accepted
time: 1ms
memory: 3668kb
input:
999999969999997921
output:
-1
result:
ok single line: '-1'
Test #48:
score: 0
Accepted
time: 1ms
memory: 3664kb
input:
999999999999999989
output:
-1
result:
ok single line: '-1'
Test #49:
score: 0
Accepted
time: 1ms
memory: 3552kb
input:
999999999999999999
output:
-1
result:
ok single line: '-1'