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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#128212#6566. Power of Divisorsinstallb#AC ✓42ms3608kbC++141.3kb2023-07-20 18:10:442023-07-20 18:10:45

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-07-20 18:10:45]
  • 评测
  • 测评结果:AC
  • 用时:42ms
  • 内存:3608kb
  • [2023-07-20 18:10:44]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;

bool is_prime(ll x){
    for(ll i = 2;i * i <= x;i ++){
        if(x % i == 0) return 0;
    }
    return 1;
}

void solve(){
    ll n;
    cin >> n;
    int l,r,mid,ans;

    l = 1; r = 1'000'000'000;
    while(l <= r){
        mid = (l + r) >> 1;
        if(1ll * mid * mid <= n){
            ans = mid;
            l = mid + 1;
        }
        else r = mid - 1;
    }
    if(is_prime(ans) && 1ll * ans * ans == n){
        cout << ans << '\n';
        return;
    }

    for(int i = 1;i <= 1000;i ++){
        if(is_prime(i) && 1ll * i * i * i * i * i * i == n){
            cout << i * i << '\n';
            return;
        }
    }

    for(int i = 1;i <= 100000;i ++){
        int cnt = 0;
        for(int j = 1;j * j <= i;j ++){
            if(i % j == 0){
                cnt ++;
                if(i / j != j) cnt ++;
            }
        }
        __int128 cur = 1;
        for(int j = 1;j <= cnt;j ++){
            cur *= i;
            if(cur > n) break;
        }
        if(cur == n){
            cout << i << '\n';
            return;
        }
    }

    cout << -1 << '\n';
}

int main(){
    ios::sync_with_stdio(false);
    solve();
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3608kb

input:

15625

output:

25

result:

ok single line: '25'

Test #2:

score: 0
Accepted
time: 1ms
memory: 3360kb

input:

64000000

output:

20

result:

ok single line: '20'

Test #3:

score: 0
Accepted
time: 42ms
memory: 3472kb

input:

65536

output:

-1

result:

ok single line: '-1'

Test #4:

score: 0
Accepted
time: 1ms
memory: 3548kb

input:

1

output:

1

result:

ok single line: '1'

Test #5:

score: 0
Accepted
time: 38ms
memory: 3472kb

input:

10

output:

-1

result:

ok single line: '-1'

Test #6:

score: 0
Accepted
time: 42ms
memory: 3440kb

input:

100

output:

-1

result:

ok single line: '-1'

Test #7:

score: 0
Accepted
time: 1ms
memory: 3400kb

input:

10000

output:

10

result:

ok single line: '10'

Test #8:

score: 0
Accepted
time: 0ms
memory: 3512kb

input:

1000000000000000000

output:

100

result:

ok single line: '100'

Test #9:

score: 0
Accepted
time: 1ms
memory: 3456kb

input:

10372926089038969

output:

218089

result:

ok single line: '218089'

Test #10:

score: 0
Accepted
time: 1ms
memory: 3360kb

input:

10642944803293201

output:

10157

result:

ok single line: '10157'

Test #11:

score: 0
Accepted
time: 1ms
memory: 3580kb

input:

10646534823110209

output:

103182047

result:

ok single line: '103182047'

Test #12:

score: 0
Accepted
time: 1ms
memory: 3608kb

input:

1073741824

output:

32

result:

ok single line: '32'

Test #13:

score: 0
Accepted
time: 1ms
memory: 3464kb

input:

121

output:

11

result:

ok single line: '11'

Test #14:

score: 0
Accepted
time: 1ms
memory: 3456kb

input:

1296

output:

6

result:

ok single line: '6'

Test #15:

score: 0
Accepted
time: 38ms
memory: 3396kb

input:

16

output:

-1

result:

ok single line: '-1'

Test #16:

score: 0
Accepted
time: 0ms
memory: 3516kb

input:

16277421889

output:

127583

result:

ok single line: '127583'

Test #17:

score: 0
Accepted
time: 1ms
memory: 3396kb

input:

169

output:

13

result:

ok single line: '13'

Test #18:

score: 0
Accepted
time: 38ms
memory: 3400kb

input:

1985984

output:

-1

result:

ok single line: '-1'

Test #19:

score: 0
Accepted
time: 41ms
memory: 3400kb

input:

2

output:

-1

result:

ok single line: '-1'

Test #20:

score: 0
Accepted
time: 0ms
memory: 3516kb

input:

205891132094649

output:

243

result:

ok single line: '243'

Test #21:

score: 0
Accepted
time: 0ms
memory: 3404kb

input:

25

output:

5

result:

ok single line: '5'

Test #22:

score: 0
Accepted
time: 1ms
memory: 3360kb

input:

2626114239841

output:

1273

result:

ok single line: '1273'

Test #23:

score: 0
Accepted
time: 3ms
memory: 3432kb

input:

26269395104446321

output:

12731

result:

ok single line: '12731'

Test #24:

score: 0
Accepted
time: 42ms
memory: 3444kb

input:

3

output:

-1

result:

ok single line: '-1'

Test #25:

score: 0
Accepted
time: 1ms
memory: 3460kb

input:

3596345248055296

output:

88

result:

ok single line: '88'

Test #26:

score: 0
Accepted
time: 41ms
memory: 3440kb

input:

36

output:

-1

result:

ok single line: '-1'

Test #27:

score: 0
Accepted
time: 1ms
memory: 3608kb

input:

4

output:

2

result:

ok single line: '2'

Test #28:

score: 0
Accepted
time: 1ms
memory: 3516kb

input:

4096

output:

8

result:

ok single line: '8'

Test #29:

score: 0
Accepted
time: 1ms
memory: 3572kb

input:

49

output:

7

result:

ok single line: '7'

Test #30:

score: 0
Accepted
time: 42ms
memory: 3432kb

input:

5

output:

-1

result:

ok single line: '-1'

Test #31:

score: 0
Accepted
time: 42ms
memory: 3428kb

input:

576460752303423488

output:

-1

result:

ok single line: '-1'

Test #32:

score: 0
Accepted
time: 1ms
memory: 3436kb

input:

581431415926321

output:

24112889

result:

ok single line: '24112889'

Test #33:

score: 0
Accepted
time: 38ms
memory: 3468kb

input:

6

output:

-1

result:

ok single line: '-1'

Test #34:

score: 0
Accepted
time: 1ms
memory: 3404kb

input:

64

output:

4

result:

ok single line: '4'

Test #35:

score: 0
Accepted
time: 1ms
memory: 3516kb

input:

656100000000

output:

30

result:

ok single line: '30'

Test #36:

score: 0
Accepted
time: 38ms
memory: 3608kb

input:

7

output:

-1

result:

ok single line: '-1'

Test #37:

score: 0
Accepted
time: 1ms
memory: 3432kb

input:

729

output:

9

result:

ok single line: '9'

Test #38:

score: 0
Accepted
time: 42ms
memory: 3400kb

input:

8

output:

-1

result:

ok single line: '-1'

Test #39:

score: 0
Accepted
time: 42ms
memory: 3428kb

input:

81

output:

-1

result:

ok single line: '-1'

Test #40:

score: 0
Accepted
time: 1ms
memory: 3552kb

input:

8527674378686464

output:

452

result:

ok single line: '452'

Test #41:

score: 0
Accepted
time: 1ms
memory: 3356kb

input:

9

output:

3

result:

ok single line: '3'

Test #42:

score: 0
Accepted
time: 0ms
memory: 3424kb

input:

982134461213542729

output:

994009

result:

ok single line: '994009'

Test #43:

score: 0
Accepted
time: 3ms
memory: 3520kb

input:

9992002399680016

output:

9998

result:

ok single line: '9998'

Test #44:

score: 0
Accepted
time: 42ms
memory: 3576kb

input:

999269311525198921

output:

-1

result:

ok single line: '-1'

Test #45:

score: 0
Accepted
time: 38ms
memory: 3364kb

input:

999949000866995087

output:

-1

result:

ok single line: '-1'

Test #46:

score: 0
Accepted
time: 42ms
memory: 3364kb

input:

999995482005103081

output:

-1

result:

ok single line: '-1'

Test #47:

score: 0
Accepted
time: 42ms
memory: 3400kb

input:

999999969999997921

output:

-1

result:

ok single line: '-1'

Test #48:

score: 0
Accepted
time: 41ms
memory: 3460kb

input:

999999999999999989

output:

-1

result:

ok single line: '-1'

Test #49:

score: 0
Accepted
time: 38ms
memory: 3428kb

input:

999999999999999999

output:

-1

result:

ok single line: '-1'