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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#152607#6566. Power of DivisorsBUET_POISSON#AC ✓38ms11532kbC++201.0kb2023-08-28 14:30:222023-08-28 14:30:22

Judging History

你现在查看的是最新测评结果

  • [2023-08-28 14:30:22]
  • 评测
  • 测评结果:AC
  • 用时:38ms
  • 内存:11532kb
  • [2023-08-28 14:30:22]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
#define int long long

const int N = 1000006;
int divCount[N];

bool isPrime(int n){

    for(int i=2;i*i<=n;i++){
        if( n%i == 0 ) return false;
    }
    return true;

}

int isSquare(int n){
    int sq = sqrt(n);
    if( sq*sq == n) return sq;
    if( (sq+1)*(sq+1) == n ) return sq+1 ;
    return -1;

}
void siv(){
    for(int i=1;i<N;i++){
        for(int j=i;j<N;j+=i) divCount[j]++;
    }
}

bool pos(int n,int p,int target){
    int val = 1;
    for(int i=1;i<=p;i++){
        val*=n;
        if( val>target ) return false;
    }
    return val == target;
}

signed main(){
    siv();
    
   // for(int i=2;i<=25;i++) cout<<i<<" "<<divCount[i]<<endl;
    int n;
    cin>>n;
    

    int sq = isSquare(n);
    int res = LONG_LONG_MAX;
    if( sq != -1 and isPrime(sq) ) res = min(res,sq);
    for(int i=2;i<N;i++){
        if( pos(i,divCount[i],n)  ) res = min(res,i);
    }
    if( res == LONG_LONG_MAX ) cout<<-1;
    else cout<<res;

}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 26ms
memory: 11488kb

input:

15625

output:

25

result:

ok single line: '25'

Test #2:

score: 0
Accepted
time: 26ms
memory: 11460kb

input:

64000000

output:

20

result:

ok single line: '20'

Test #3:

score: 0
Accepted
time: 26ms
memory: 11444kb

input:

65536

output:

-1

result:

ok single line: '-1'

Test #4:

score: 0
Accepted
time: 22ms
memory: 11448kb

input:

1

output:

1

result:

ok single line: '1'

Test #5:

score: 0
Accepted
time: 29ms
memory: 11372kb

input:

10

output:

-1

result:

ok single line: '-1'

Test #6:

score: 0
Accepted
time: 27ms
memory: 11444kb

input:

100

output:

-1

result:

ok single line: '-1'

Test #7:

score: 0
Accepted
time: 31ms
memory: 11388kb

input:

10000

output:

10

result:

ok single line: '10'

Test #8:

score: 0
Accepted
time: 37ms
memory: 11372kb

input:

1000000000000000000

output:

100

result:

ok single line: '100'

Test #9:

score: 0
Accepted
time: 34ms
memory: 11456kb

input:

10372926089038969

output:

218089

result:

ok single line: '218089'

Test #10:

score: 0
Accepted
time: 33ms
memory: 11444kb

input:

10642944803293201

output:

10157

result:

ok single line: '10157'

Test #11:

score: 0
Accepted
time: 30ms
memory: 11444kb

input:

10646534823110209

output:

103182047

result:

ok single line: '103182047'

Test #12:

score: 0
Accepted
time: 31ms
memory: 11384kb

input:

1073741824

output:

32

result:

ok single line: '32'

Test #13:

score: 0
Accepted
time: 26ms
memory: 11448kb

input:

121

output:

11

result:

ok single line: '11'

Test #14:

score: 0
Accepted
time: 26ms
memory: 11448kb

input:

1296

output:

6

result:

ok single line: '6'

Test #15:

score: 0
Accepted
time: 27ms
memory: 11520kb

input:

16

output:

-1

result:

ok single line: '-1'

Test #16:

score: 0
Accepted
time: 28ms
memory: 11508kb

input:

16277421889

output:

127583

result:

ok single line: '127583'

Test #17:

score: 0
Accepted
time: 26ms
memory: 11448kb

input:

169

output:

13

result:

ok single line: '13'

Test #18:

score: 0
Accepted
time: 27ms
memory: 11384kb

input:

1985984

output:

-1

result:

ok single line: '-1'

Test #19:

score: 0
Accepted
time: 27ms
memory: 11520kb

input:

2

output:

-1

result:

ok single line: '-1'

Test #20:

score: 0
Accepted
time: 32ms
memory: 11432kb

input:

205891132094649

output:

243

result:

ok single line: '243'

Test #21:

score: 0
Accepted
time: 23ms
memory: 11388kb

input:

25

output:

5

result:

ok single line: '5'

Test #22:

score: 0
Accepted
time: 36ms
memory: 11440kb

input:

2626114239841

output:

1273

result:

ok single line: '1273'

Test #23:

score: 0
Accepted
time: 33ms
memory: 11512kb

input:

26269395104446321

output:

12731

result:

ok single line: '12731'

Test #24:

score: 0
Accepted
time: 22ms
memory: 11460kb

input:

3

output:

-1

result:

ok single line: '-1'

Test #25:

score: 0
Accepted
time: 33ms
memory: 11444kb

input:

3596345248055296

output:

88

result:

ok single line: '88'

Test #26:

score: 0
Accepted
time: 27ms
memory: 11456kb

input:

36

output:

-1

result:

ok single line: '-1'

Test #27:

score: 0
Accepted
time: 22ms
memory: 11460kb

input:

4

output:

2

result:

ok single line: '2'

Test #28:

score: 0
Accepted
time: 30ms
memory: 11444kb

input:

4096

output:

8

result:

ok single line: '8'

Test #29:

score: 0
Accepted
time: 26ms
memory: 11328kb

input:

49

output:

7

result:

ok single line: '7'

Test #30:

score: 0
Accepted
time: 26ms
memory: 11328kb

input:

5

output:

-1

result:

ok single line: '-1'

Test #31:

score: 0
Accepted
time: 32ms
memory: 11460kb

input:

576460752303423488

output:

-1

result:

ok single line: '-1'

Test #32:

score: 0
Accepted
time: 33ms
memory: 11380kb

input:

581431415926321

output:

24112889

result:

ok single line: '24112889'

Test #33:

score: 0
Accepted
time: 26ms
memory: 11388kb

input:

6

output:

-1

result:

ok single line: '-1'

Test #34:

score: 0
Accepted
time: 27ms
memory: 11440kb

input:

64

output:

4

result:

ok single line: '4'

Test #35:

score: 0
Accepted
time: 31ms
memory: 11448kb

input:

656100000000

output:

30

result:

ok single line: '30'

Test #36:

score: 0
Accepted
time: 23ms
memory: 11512kb

input:

7

output:

-1

result:

ok single line: '-1'

Test #37:

score: 0
Accepted
time: 25ms
memory: 11328kb

input:

729

output:

9

result:

ok single line: '9'

Test #38:

score: 0
Accepted
time: 27ms
memory: 11528kb

input:

8

output:

-1

result:

ok single line: '-1'

Test #39:

score: 0
Accepted
time: 26ms
memory: 11448kb

input:

81

output:

-1

result:

ok single line: '-1'

Test #40:

score: 0
Accepted
time: 33ms
memory: 11384kb

input:

8527674378686464

output:

452

result:

ok single line: '452'

Test #41:

score: 0
Accepted
time: 27ms
memory: 11460kb

input:

9

output:

3

result:

ok single line: '3'

Test #42:

score: 0
Accepted
time: 37ms
memory: 11508kb

input:

982134461213542729

output:

994009

result:

ok single line: '994009'

Test #43:

score: 0
Accepted
time: 32ms
memory: 11448kb

input:

9992002399680016

output:

9998

result:

ok single line: '9998'

Test #44:

score: 0
Accepted
time: 34ms
memory: 11444kb

input:

999269311525198921

output:

-1

result:

ok single line: '-1'

Test #45:

score: 0
Accepted
time: 38ms
memory: 11532kb

input:

999949000866995087

output:

-1

result:

ok single line: '-1'

Test #46:

score: 0
Accepted
time: 38ms
memory: 11512kb

input:

999995482005103081

output:

-1

result:

ok single line: '-1'

Test #47:

score: 0
Accepted
time: 37ms
memory: 11516kb

input:

999999969999997921

output:

-1

result:

ok single line: '-1'

Test #48:

score: 0
Accepted
time: 34ms
memory: 11512kb

input:

999999999999999989

output:

-1

result:

ok single line: '-1'

Test #49:

score: 0
Accepted
time: 35ms
memory: 11480kb

input:

999999999999999999

output:

-1

result:

ok single line: '-1'