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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#238703#6566. Power of DivisorsFyind#AC ✓2ms3816kbC++201.3kb2023-11-04 17:18:162023-11-04 17:18:17

Judging History

你现在查看的是最新测评结果

  • [2023-11-04 17:18:17]
  • 评测
  • 测评结果:AC
  • 用时:2ms
  • 内存:3816kb
  • [2023-11-04 17:18:16]
  • 提交

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

Tip: Click on the bar to expand more detailed information

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'