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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#111002#6566. Power of DivisorsTobo#AC ✓3ms3644kbC++201.4kb2023-06-05 13:07:032023-06-05 13:07:06

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.
  • [2023-06-05 13:07:06]
  • 评测
  • 测评结果:AC
  • 用时:3ms
  • 内存:3644kb
  • [2023-06-05 13:07:03]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
using i64 = long long;
#define N 200005

int cal(int x)
{
    int res = 2;
    for (int i = 2; i * i <= x; i++)
    {
        if (x % i == 0)
        {
            res++;
            if (i * i != x)
                res++;
        }
    }
    return res;
}
i64 mypow(int x, int y)
{
    i64 res = 1;
    while (y--)
        res *= x;
    return res;
}
int cal1(i64 z, int y)
{
    int l = 2, r = 1e9, mid;
    while (l < r)
    {
        mid = l + r + 1 >> 1;
        if (mid > z || powl(mid, y) > z)
            r = mid - 1;
        else
        {
            i64 tmp = mypow(mid, y);
            if (tmp <= z)
                l = mid;
            else
                r = mid - 1;
        }
    }
    if (mypow(l, y) != z)
        return -1;
    else
        return l;
}
void solve()
{
    i64 x;
    cin >> x;
    for (int i = 60; i >= 2; i--)
    {
        int y = cal1(x, i);
        if (y == -1)
            continue;
        int z = cal(y);
        if (mypow(y, z) == x)
        {
            cout << y << '\n';
            return;
        }
    }
    if (x == 1)
        cout << 1;
    else
        cout << -1;
    cout << '\n';
}
signed main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);

    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: 2ms
memory: 3424kb

input:

15625

output:

25

result:

ok single line: '25'

Test #2:

score: 0
Accepted
time: 2ms
memory: 3520kb

input:

64000000

output:

20

result:

ok single line: '20'

Test #3:

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

input:

65536

output:

-1

result:

ok single line: '-1'

Test #4:

score: 0
Accepted
time: 0ms
memory: 3452kb

input:

1

output:

1

result:

ok single line: '1'

Test #5:

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

input:

10

output:

-1

result:

ok single line: '-1'

Test #6:

score: 0
Accepted
time: 2ms
memory: 3468kb

input:

100

output:

-1

result:

ok single line: '-1'

Test #7:

score: 0
Accepted
time: 2ms
memory: 3468kb

input:

10000

output:

10

result:

ok single line: '10'

Test #8:

score: 0
Accepted
time: 2ms
memory: 3456kb

input:

1000000000000000000

output:

100

result:

ok single line: '100'

Test #9:

score: 0
Accepted
time: 1ms
memory: 3644kb

input:

10372926089038969

output:

218089

result:

ok single line: '218089'

Test #10:

score: 0
Accepted
time: 2ms
memory: 3396kb

input:

10642944803293201

output:

10157

result:

ok single line: '10157'

Test #11:

score: 0
Accepted
time: 2ms
memory: 3500kb

input:

10646534823110209

output:

103182047

result:

ok single line: '103182047'

Test #12:

score: 0
Accepted
time: 0ms
memory: 3492kb

input:

1073741824

output:

32

result:

ok single line: '32'

Test #13:

score: 0
Accepted
time: 1ms
memory: 3588kb

input:

121

output:

11

result:

ok single line: '11'

Test #14:

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

input:

1296

output:

6

result:

ok single line: '6'

Test #15:

score: 0
Accepted
time: 2ms
memory: 3400kb

input:

16

output:

-1

result:

ok single line: '-1'

Test #16:

score: 0
Accepted
time: 3ms
memory: 3452kb

input:

16277421889

output:

127583

result:

ok single line: '127583'

Test #17:

score: 0
Accepted
time: 2ms
memory: 3528kb

input:

169

output:

13

result:

ok single line: '13'

Test #18:

score: 0
Accepted
time: 2ms
memory: 3516kb

input:

1985984

output:

-1

result:

ok single line: '-1'

Test #19:

score: 0
Accepted
time: 2ms
memory: 3392kb

input:

2

output:

-1

result:

ok single line: '-1'

Test #20:

score: 0
Accepted
time: 2ms
memory: 3396kb

input:

205891132094649

output:

243

result:

ok single line: '243'

Test #21:

score: 0
Accepted
time: 2ms
memory: 3524kb

input:

25

output:

5

result:

ok single line: '5'

Test #22:

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

input:

2626114239841

output:

1273

result:

ok single line: '1273'

Test #23:

score: 0
Accepted
time: 2ms
memory: 3500kb

input:

26269395104446321

output:

12731

result:

ok single line: '12731'

Test #24:

score: 0
Accepted
time: 2ms
memory: 3528kb

input:

3

output:

-1

result:

ok single line: '-1'

Test #25:

score: 0
Accepted
time: 3ms
memory: 3476kb

input:

3596345248055296

output:

88

result:

ok single line: '88'

Test #26:

score: 0
Accepted
time: 2ms
memory: 3528kb

input:

36

output:

-1

result:

ok single line: '-1'

Test #27:

score: 0
Accepted
time: 0ms
memory: 3476kb

input:

4

output:

2

result:

ok single line: '2'

Test #28:

score: 0
Accepted
time: 2ms
memory: 3400kb

input:

4096

output:

8

result:

ok single line: '8'

Test #29:

score: 0
Accepted
time: 0ms
memory: 3640kb

input:

49

output:

7

result:

ok single line: '7'

Test #30:

score: 0
Accepted
time: 2ms
memory: 3524kb

input:

5

output:

-1

result:

ok single line: '-1'

Test #31:

score: 0
Accepted
time: 0ms
memory: 3452kb

input:

576460752303423488

output:

-1

result:

ok single line: '-1'

Test #32:

score: 0
Accepted
time: 2ms
memory: 3396kb

input:

581431415926321

output:

24112889

result:

ok single line: '24112889'

Test #33:

score: 0
Accepted
time: 2ms
memory: 3416kb

input:

6

output:

-1

result:

ok single line: '-1'

Test #34:

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

input:

64

output:

4

result:

ok single line: '4'

Test #35:

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

input:

656100000000

output:

30

result:

ok single line: '30'

Test #36:

score: 0
Accepted
time: 2ms
memory: 3524kb

input:

7

output:

-1

result:

ok single line: '-1'

Test #37:

score: 0
Accepted
time: 2ms
memory: 3500kb

input:

729

output:

9

result:

ok single line: '9'

Test #38:

score: 0
Accepted
time: 2ms
memory: 3620kb

input:

8

output:

-1

result:

ok single line: '-1'

Test #39:

score: 0
Accepted
time: 2ms
memory: 3404kb

input:

81

output:

-1

result:

ok single line: '-1'

Test #40:

score: 0
Accepted
time: 2ms
memory: 3528kb

input:

8527674378686464

output:

452

result:

ok single line: '452'

Test #41:

score: 0
Accepted
time: 2ms
memory: 3512kb

input:

9

output:

3

result:

ok single line: '3'

Test #42:

score: 0
Accepted
time: 2ms
memory: 3456kb

input:

982134461213542729

output:

994009

result:

ok single line: '994009'

Test #43:

score: 0
Accepted
time: 2ms
memory: 3468kb

input:

9992002399680016

output:

9998

result:

ok single line: '9998'

Test #44:

score: 0
Accepted
time: 2ms
memory: 3520kb

input:

999269311525198921

output:

-1

result:

ok single line: '-1'

Test #45:

score: 0
Accepted
time: 2ms
memory: 3500kb

input:

999949000866995087

output:

-1

result:

ok single line: '-1'

Test #46:

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

input:

999995482005103081

output:

-1

result:

ok single line: '-1'

Test #47:

score: 0
Accepted
time: 1ms
memory: 3512kb

input:

999999969999997921

output:

-1

result:

ok single line: '-1'

Test #48:

score: 0
Accepted
time: 2ms
memory: 3456kb

input:

999999999999999989

output:

-1

result:

ok single line: '-1'

Test #49:

score: 0
Accepted
time: 1ms
memory: 3468kb

input:

999999999999999999

output:

-1

result:

ok single line: '-1'