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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#359305#6566. Power of Divisorsnkamzabek#AC ✓0ms3740kbC++231.3kb2024-03-20 16:04:452024-03-20 16:04:45

Judging History

你现在查看的是最新测评结果

  • [2024-03-20 16:04:45]
  • 评测
  • 测评结果:AC
  • 用时:0ms
  • 内存:3740kb
  • [2024-03-20 16:04:45]
  • 提交

answer

#include <bits/stdc++.h>

#define f first
#define s second
#define sz(s) (int)s.size()
#define int long long

using namespace std;

const int N = (int)5e5 + 100;
const int M = N + 7;
const int MOD = 998244353;
const int INF = (int)1e18 + 100;

int d(int n){
    int cnt = 0;
    for(int i = 1; i * i <= n; i++){
        if(n % i == 0){
            cnt++;
            if(i != n / i)
                cnt++;
        }
    }    
    return cnt;
}
int binpow(int a, int b){
    int res = 1;
    while(b--){
        if(res > INF / a)
            return -1;
        res *= a;
    }
    return res;
}

main() {
	ios_base::sync_with_stdio(0);
	cin.tie(0); cout.tie(0);
    int x;
    cin >> x;
    if(x == 1){
        cout << "1\n";
        return 0;
    }
    for(int i = 2; i <= 60; i++){
        int l = 1, r = INF, res = -1;
        while(l <= r){
            int mid =  (l + r) >> 1;
            int z = binpow(mid, i);
            if(z != -1 && z <= x)
                res = mid, l = mid + 1;
            else
                r = mid - 1;
        }
        if(res == -1)
            continue;
        int deg = d(res);
        if(binpow(res, deg) == x){
            cout << res << "\n";
            return 0;
        }
    }
    
    cout << "-1\n";
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3688kb

input:

15625

output:

25

result:

ok single line: '25'

Test #2:

score: 0
Accepted
time: 0ms
memory: 3608kb

input:

64000000

output:

20

result:

ok single line: '20'

Test #3:

score: 0
Accepted
time: 0ms
memory: 3732kb

input:

65536

output:

-1

result:

ok single line: '-1'

Test #4:

score: 0
Accepted
time: 0ms
memory: 3676kb

input:

1

output:

1

result:

ok single line: '1'

Test #5:

score: 0
Accepted
time: 0ms
memory: 3672kb

input:

10

output:

-1

result:

ok single line: '-1'

Test #6:

score: 0
Accepted
time: 0ms
memory: 3604kb

input:

100

output:

-1

result:

ok single line: '-1'

Test #7:

score: 0
Accepted
time: 0ms
memory: 3740kb

input:

10000

output:

10

result:

ok single line: '10'

Test #8:

score: 0
Accepted
time: 0ms
memory: 3724kb

input:

1000000000000000000

output:

100

result:

ok single line: '100'

Test #9:

score: 0
Accepted
time: 0ms
memory: 3608kb

input:

10372926089038969

output:

218089

result:

ok single line: '218089'

Test #10:

score: 0
Accepted
time: 0ms
memory: 3672kb

input:

10642944803293201

output:

10157

result:

ok single line: '10157'

Test #11:

score: 0
Accepted
time: 0ms
memory: 3684kb

input:

10646534823110209

output:

103182047

result:

ok single line: '103182047'

Test #12:

score: 0
Accepted
time: 0ms
memory: 3672kb

input:

1073741824

output:

32

result:

ok single line: '32'

Test #13:

score: 0
Accepted
time: 0ms
memory: 3616kb

input:

121

output:

11

result:

ok single line: '11'

Test #14:

score: 0
Accepted
time: 0ms
memory: 3608kb

input:

1296

output:

6

result:

ok single line: '6'

Test #15:

score: 0
Accepted
time: 0ms
memory: 3732kb

input:

16

output:

-1

result:

ok single line: '-1'

Test #16:

score: 0
Accepted
time: 0ms
memory: 3736kb

input:

16277421889

output:

127583

result:

ok single line: '127583'

Test #17:

score: 0
Accepted
time: 0ms
memory: 3600kb

input:

169

output:

13

result:

ok single line: '13'

Test #18:

score: 0
Accepted
time: 0ms
memory: 3732kb

input:

1985984

output:

-1

result:

ok single line: '-1'

Test #19:

score: 0
Accepted
time: 0ms
memory: 3688kb

input:

2

output:

-1

result:

ok single line: '-1'

Test #20:

score: 0
Accepted
time: 0ms
memory: 3672kb

input:

205891132094649

output:

243

result:

ok single line: '243'

Test #21:

score: 0
Accepted
time: 0ms
memory: 3688kb

input:

25

output:

5

result:

ok single line: '5'

Test #22:

score: 0
Accepted
time: 0ms
memory: 3676kb

input:

2626114239841

output:

1273

result:

ok single line: '1273'

Test #23:

score: 0
Accepted
time: 0ms
memory: 3668kb

input:

26269395104446321

output:

12731

result:

ok single line: '12731'

Test #24:

score: 0
Accepted
time: 0ms
memory: 3668kb

input:

3

output:

-1

result:

ok single line: '-1'

Test #25:

score: 0
Accepted
time: 0ms
memory: 3688kb

input:

3596345248055296

output:

88

result:

ok single line: '88'

Test #26:

score: 0
Accepted
time: 0ms
memory: 3604kb

input:

36

output:

-1

result:

ok single line: '-1'

Test #27:

score: 0
Accepted
time: 0ms
memory: 3672kb

input:

4

output:

2

result:

ok single line: '2'

Test #28:

score: 0
Accepted
time: 0ms
memory: 3664kb

input:

4096

output:

8

result:

ok single line: '8'

Test #29:

score: 0
Accepted
time: 0ms
memory: 3664kb

input:

49

output:

7

result:

ok single line: '7'

Test #30:

score: 0
Accepted
time: 0ms
memory: 3668kb

input:

5

output:

-1

result:

ok single line: '-1'

Test #31:

score: 0
Accepted
time: 0ms
memory: 3740kb

input:

576460752303423488

output:

-1

result:

ok single line: '-1'

Test #32:

score: 0
Accepted
time: 0ms
memory: 3728kb

input:

581431415926321

output:

24112889

result:

ok single line: '24112889'

Test #33:

score: 0
Accepted
time: 0ms
memory: 3684kb

input:

6

output:

-1

result:

ok single line: '-1'

Test #34:

score: 0
Accepted
time: 0ms
memory: 3672kb

input:

64

output:

4

result:

ok single line: '4'

Test #35:

score: 0
Accepted
time: 0ms
memory: 3668kb

input:

656100000000

output:

30

result:

ok single line: '30'

Test #36:

score: 0
Accepted
time: 0ms
memory: 3616kb

input:

7

output:

-1

result:

ok single line: '-1'

Test #37:

score: 0
Accepted
time: 0ms
memory: 3664kb

input:

729

output:

9

result:

ok single line: '9'

Test #38:

score: 0
Accepted
time: 0ms
memory: 3692kb

input:

8

output:

-1

result:

ok single line: '-1'

Test #39:

score: 0
Accepted
time: 0ms
memory: 3740kb

input:

81

output:

-1

result:

ok single line: '-1'

Test #40:

score: 0
Accepted
time: 0ms
memory: 3616kb

input:

8527674378686464

output:

452

result:

ok single line: '452'

Test #41:

score: 0
Accepted
time: 0ms
memory: 3732kb

input:

9

output:

3

result:

ok single line: '3'

Test #42:

score: 0
Accepted
time: 0ms
memory: 3688kb

input:

982134461213542729

output:

994009

result:

ok single line: '994009'

Test #43:

score: 0
Accepted
time: 0ms
memory: 3660kb

input:

9992002399680016

output:

9998

result:

ok single line: '9998'

Test #44:

score: 0
Accepted
time: 0ms
memory: 3672kb

input:

999269311525198921

output:

-1

result:

ok single line: '-1'

Test #45:

score: 0
Accepted
time: 0ms
memory: 3668kb

input:

999949000866995087

output:

-1

result:

ok single line: '-1'

Test #46:

score: 0
Accepted
time: 0ms
memory: 3620kb

input:

999995482005103081

output:

-1

result:

ok single line: '-1'

Test #47:

score: 0
Accepted
time: 0ms
memory: 3604kb

input:

999999969999997921

output:

-1

result:

ok single line: '-1'

Test #48:

score: 0
Accepted
time: 0ms
memory: 3684kb

input:

999999999999999989

output:

-1

result:

ok single line: '-1'

Test #49:

score: 0
Accepted
time: 0ms
memory: 3688kb

input:

999999999999999999

output:

-1

result:

ok single line: '-1'