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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#238583#6566. Power of Divisorsmtxas#AC ✓1ms3800kbC++141.6kb2023-11-04 17:04:262023-11-04 17:04:26

Judging History

你现在查看的是最新测评结果

  • [2023-11-04 17:04:26]
  • 评测
  • 测评结果:AC
  • 用时:1ms
  • 内存:3800kb
  • [2023-11-04 17:04:26]
  • 提交

answer

#include <bits/stdc++.h>
#define int long long
#define pii pair<int,int>
#define printf(...)
#define mp make_pair
using namespace std;
void solve()
{
    int x;
    cin>>x;
    const int B = LLONG_MAX;
    function<int(int,int)> lift = [&] (int d, int k){
        if(k == 0) return 1LL;
        if(k==1) return d;
        int dd = lift(d, k/2LL);
        if(dd > B/dd) return LLONG_MAX;
        else dd = dd*dd;
        if(k&1LL){
            if(dd > B/d) return LLONG_MAX;
            else dd *= d;
        }
        return dd;
    };
    auto root = [&] (int x, int k) {
        int L = 1, R = 1e9+11;
        while(L<=R){
            int M = (L+R)/2LL;
            if(lift(M, k) > x) R = M-1;
            else L = M+1;
        };
        return R;
    };
    auto divisors = [&] (int x){
        vector<int> cnts;
        for(int d=2; d*d<=x; ++d){
            int cnt = 0;
            while(x%d==0){
                cnt++;
                x/=d;
            }
            if(cnt) cnts.push_back(cnt);
        }
        if(x>1) cnts.push_back(1);
        int ans = 1;
        for(auto cnt:cnts){
            ans *= (cnt+1);
        }
        return ans;
    };
    if(x == 1) {
        cout<<"1 \n";
        return;
    }
    int ans = -1;
    for(int k=2; ; ++k)
    {
        if(root(x, k) == 1) break;
        if(lift(root(x, k), k) == x) {
            if(divisors(root(x, k)) == k)
                ans = root(x, k);
        }
    }
    cout<<ans;
}
signed main()
{
//    freopen("input_00.txt", "r", stdin);
    int T = 1;
//    cin >> T;
    while(T--)
    {
        solve();
    }
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3528kb

input:

15625

output:

25

result:

ok single line: '25'

Test #2:

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

input:

64000000

output:

20

result:

ok single line: '20'

Test #3:

score: 0
Accepted
time: 0ms
memory: 3784kb

input:

65536

output:

-1

result:

ok single line: '-1'

Test #4:

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

input:

1

output:

1 

result:

ok single line: '1 '

Test #5:

score: 0
Accepted
time: 0ms
memory: 3504kb

input:

10

output:

-1

result:

ok single line: '-1'

Test #6:

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

input:

100

output:

-1

result:

ok single line: '-1'

Test #7:

score: 0
Accepted
time: 0ms
memory: 3800kb

input:

10000

output:

10

result:

ok single line: '10'

Test #8:

score: 0
Accepted
time: 0ms
memory: 3504kb

input:

1000000000000000000

output:

100

result:

ok single line: '100'

Test #9:

score: 0
Accepted
time: 0ms
memory: 3504kb

input:

10372926089038969

output:

218089

result:

ok single line: '218089'

Test #10:

score: 0
Accepted
time: 0ms
memory: 3500kb

input:

10642944803293201

output:

10157

result:

ok single line: '10157'

Test #11:

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

input:

10646534823110209

output:

103182047

result:

ok single line: '103182047'

Test #12:

score: 0
Accepted
time: 1ms
memory: 3524kb

input:

1073741824

output:

32

result:

ok single line: '32'

Test #13:

score: 0
Accepted
time: 0ms
memory: 3504kb

input:

121

output:

11

result:

ok single line: '11'

Test #14:

score: 0
Accepted
time: 0ms
memory: 3752kb

input:

1296

output:

6

result:

ok single line: '6'

Test #15:

score: 0
Accepted
time: 0ms
memory: 3756kb

input:

16

output:

-1

result:

ok single line: '-1'

Test #16:

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

input:

16277421889

output:

127583

result:

ok single line: '127583'

Test #17:

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

input:

169

output:

13

result:

ok single line: '13'

Test #18:

score: 0
Accepted
time: 0ms
memory: 3588kb

input:

1985984

output:

-1

result:

ok single line: '-1'

Test #19:

score: 0
Accepted
time: 0ms
memory: 3592kb

input:

2

output:

-1

result:

ok single line: '-1'

Test #20:

score: 0
Accepted
time: 0ms
memory: 3584kb

input:

205891132094649

output:

243

result:

ok single line: '243'

Test #21:

score: 0
Accepted
time: 0ms
memory: 3784kb

input:

25

output:

5

result:

ok single line: '5'

Test #22:

score: 0
Accepted
time: 0ms
memory: 3800kb

input:

2626114239841

output:

1273

result:

ok single line: '1273'

Test #23:

score: 0
Accepted
time: 0ms
memory: 3592kb

input:

26269395104446321

output:

12731

result:

ok single line: '12731'

Test #24:

score: 0
Accepted
time: 0ms
memory: 3584kb

input:

3

output:

-1

result:

ok single line: '-1'

Test #25:

score: 0
Accepted
time: 0ms
memory: 3504kb

input:

3596345248055296

output:

88

result:

ok single line: '88'

Test #26:

score: 0
Accepted
time: 0ms
memory: 3500kb

input:

36

output:

-1

result:

ok single line: '-1'

Test #27:

score: 0
Accepted
time: 0ms
memory: 3500kb

input:

4

output:

2

result:

ok single line: '2'

Test #28:

score: 0
Accepted
time: 0ms
memory: 3720kb

input:

4096

output:

8

result:

ok single line: '8'

Test #29:

score: 0
Accepted
time: 0ms
memory: 3496kb

input:

49

output:

7

result:

ok single line: '7'

Test #30:

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

input:

5

output:

-1

result:

ok single line: '-1'

Test #31:

score: 0
Accepted
time: 0ms
memory: 3528kb

input:

576460752303423488

output:

-1

result:

ok single line: '-1'

Test #32:

score: 0
Accepted
time: 0ms
memory: 3592kb

input:

581431415926321

output:

24112889

result:

ok single line: '24112889'

Test #33:

score: 0
Accepted
time: 0ms
memory: 3528kb

input:

6

output:

-1

result:

ok single line: '-1'

Test #34:

score: 0
Accepted
time: 0ms
memory: 3500kb

input:

64

output:

4

result:

ok single line: '4'

Test #35:

score: 0
Accepted
time: 0ms
memory: 3568kb

input:

656100000000

output:

30

result:

ok single line: '30'

Test #36:

score: 0
Accepted
time: 0ms
memory: 3788kb

input:

7

output:

-1

result:

ok single line: '-1'

Test #37:

score: 0
Accepted
time: 0ms
memory: 3756kb

input:

729

output:

9

result:

ok single line: '9'

Test #38:

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

input:

8

output:

-1

result:

ok single line: '-1'

Test #39:

score: 0
Accepted
time: 0ms
memory: 3564kb

input:

81

output:

-1

result:

ok single line: '-1'

Test #40:

score: 0
Accepted
time: 0ms
memory: 3568kb

input:

8527674378686464

output:

452

result:

ok single line: '452'

Test #41:

score: 0
Accepted
time: 0ms
memory: 3508kb

input:

9

output:

3

result:

ok single line: '3'

Test #42:

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

input:

982134461213542729

output:

994009

result:

ok single line: '994009'

Test #43:

score: 0
Accepted
time: 0ms
memory: 3504kb

input:

9992002399680016

output:

9998

result:

ok single line: '9998'

Test #44:

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

input:

999269311525198921

output:

-1

result:

ok single line: '-1'

Test #45:

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

input:

999949000866995087

output:

-1

result:

ok single line: '-1'

Test #46:

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

input:

999995482005103081

output:

-1

result:

ok single line: '-1'

Test #47:

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

input:

999999969999997921

output:

-1

result:

ok single line: '-1'

Test #48:

score: 0
Accepted
time: 0ms
memory: 3752kb

input:

999999999999999989

output:

-1

result:

ok single line: '-1'

Test #49:

score: 0
Accepted
time: 0ms
memory: 3504kb

input:

999999999999999999

output:

-1

result:

ok single line: '-1'