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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#150640#6566. Power of DivisorsrgnerdplayerAC ✓1ms3560kbC++201.6kb2023-08-25 22:47:302023-08-25 22:47:33

Judging History

你现在查看的是最新测评结果

  • [2023-08-25 22:47:33]
  • 评测
  • 测评结果:AC
  • 用时:1ms
  • 内存:3560kb
  • [2023-08-25 22:47:30]
  • 提交

answer

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

using i64 = long long;

int main() {
    cin.tie(nullptr)->sync_with_stdio(false);
    
    auto solve = [&]() {
        i64 n;
        cin >> n;

        if (n == 1) {
            cout << "1\n";
            return;
        }

        i64 ans = n + 1;

        for (int p = 2; p <= 60; p++) {
            i64 low = 2, high = n;
            while (low < high) {
                i64 mid = low + high >> 1;
                i64 x = 1;
                for (int i = 0; i < p; i++) {
                    if (x > n / mid) {
                        x = n + 1;
                    } else {
                        x *= mid;
                    }
                }
                if (x >= n) {
                    high = mid;
                } else {
                    low = mid + 1;
                }
            }
            i64 x = 1;
            for (int i = 0; i < p; i++) {
                if (x > n / low) {
                    x = n + 1;
                } else {
                    x *= low;
                }
            }
            if (x != n) {
                continue;
            }
            int divs = 0;
            for (int i = 1; i * i <= low; i++) {
                if (low % i == 0) {
                    divs++;
                    if (i * i != low) {
                        divs++;
                    }
                }
            }
            if (divs == p) {
                ans = min(ans, low);
            }
        }

        cout << (ans == n + 1 ? -1 : ans) << '\n';
    };

    solve();

    return 0;
}


详细

Test #1:

score: 100
Accepted
time: 1ms
memory: 3520kb

input:

15625

output:

25

result:

ok single line: '25'

Test #2:

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

input:

64000000

output:

20

result:

ok single line: '20'

Test #3:

score: 0
Accepted
time: 1ms
memory: 3388kb

input:

65536

output:

-1

result:

ok single line: '-1'

Test #4:

score: 0
Accepted
time: 1ms
memory: 3372kb

input:

1

output:

1

result:

ok single line: '1'

Test #5:

score: 0
Accepted
time: 1ms
memory: 3560kb

input:

10

output:

-1

result:

ok single line: '-1'

Test #6:

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

input:

100

output:

-1

result:

ok single line: '-1'

Test #7:

score: 0
Accepted
time: 1ms
memory: 3392kb

input:

10000

output:

10

result:

ok single line: '10'

Test #8:

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

input:

1000000000000000000

output:

100

result:

ok single line: '100'

Test #9:

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

input:

10372926089038969

output:

218089

result:

ok single line: '218089'

Test #10:

score: 0
Accepted
time: 1ms
memory: 3556kb

input:

10642944803293201

output:

10157

result:

ok single line: '10157'

Test #11:

score: 0
Accepted
time: 1ms
memory: 3424kb

input:

10646534823110209

output:

103182047

result:

ok single line: '103182047'

Test #12:

score: 0
Accepted
time: 1ms
memory: 3496kb

input:

1073741824

output:

32

result:

ok single line: '32'

Test #13:

score: 0
Accepted
time: 1ms
memory: 3420kb

input:

121

output:

11

result:

ok single line: '11'

Test #14:

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

input:

1296

output:

6

result:

ok single line: '6'

Test #15:

score: 0
Accepted
time: 0ms
memory: 3560kb

input:

16

output:

-1

result:

ok single line: '-1'

Test #16:

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

input:

16277421889

output:

127583

result:

ok single line: '127583'

Test #17:

score: 0
Accepted
time: 1ms
memory: 3388kb

input:

169

output:

13

result:

ok single line: '13'

Test #18:

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

input:

1985984

output:

-1

result:

ok single line: '-1'

Test #19:

score: 0
Accepted
time: 1ms
memory: 3504kb

input:

2

output:

-1

result:

ok single line: '-1'

Test #20:

score: 0
Accepted
time: 1ms
memory: 3392kb

input:

205891132094649

output:

243

result:

ok single line: '243'

Test #21:

score: 0
Accepted
time: 0ms
memory: 3560kb

input:

25

output:

5

result:

ok single line: '5'

Test #22:

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

input:

2626114239841

output:

1273

result:

ok single line: '1273'

Test #23:

score: 0
Accepted
time: 1ms
memory: 3508kb

input:

26269395104446321

output:

12731

result:

ok single line: '12731'

Test #24:

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

input:

3

output:

-1

result:

ok single line: '-1'

Test #25:

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

input:

3596345248055296

output:

88

result:

ok single line: '88'

Test #26:

score: 0
Accepted
time: 1ms
memory: 3316kb

input:

36

output:

-1

result:

ok single line: '-1'

Test #27:

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

input:

4

output:

2

result:

ok single line: '2'

Test #28:

score: 0
Accepted
time: 0ms
memory: 3556kb

input:

4096

output:

8

result:

ok single line: '8'

Test #29:

score: 0
Accepted
time: 1ms
memory: 3560kb

input:

49

output:

7

result:

ok single line: '7'

Test #30:

score: 0
Accepted
time: 0ms
memory: 3420kb

input:

5

output:

-1

result:

ok single line: '-1'

Test #31:

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

input:

576460752303423488

output:

-1

result:

ok single line: '-1'

Test #32:

score: 0
Accepted
time: 1ms
memory: 3424kb

input:

581431415926321

output:

24112889

result:

ok single line: '24112889'

Test #33:

score: 0
Accepted
time: 1ms
memory: 3428kb

input:

6

output:

-1

result:

ok single line: '-1'

Test #34:

score: 0
Accepted
time: 1ms
memory: 3556kb

input:

64

output:

4

result:

ok single line: '4'

Test #35:

score: 0
Accepted
time: 1ms
memory: 3504kb

input:

656100000000

output:

30

result:

ok single line: '30'

Test #36:

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

input:

7

output:

-1

result:

ok single line: '-1'

Test #37:

score: 0
Accepted
time: 1ms
memory: 3520kb

input:

729

output:

9

result:

ok single line: '9'

Test #38:

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

input:

8

output:

-1

result:

ok single line: '-1'

Test #39:

score: 0
Accepted
time: 1ms
memory: 3428kb

input:

81

output:

-1

result:

ok single line: '-1'

Test #40:

score: 0
Accepted
time: 1ms
memory: 3492kb

input:

8527674378686464

output:

452

result:

ok single line: '452'

Test #41:

score: 0
Accepted
time: 1ms
memory: 3332kb

input:

9

output:

3

result:

ok single line: '3'

Test #42:

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

input:

982134461213542729

output:

994009

result:

ok single line: '994009'

Test #43:

score: 0
Accepted
time: 1ms
memory: 3424kb

input:

9992002399680016

output:

9998

result:

ok single line: '9998'

Test #44:

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

input:

999269311525198921

output:

-1

result:

ok single line: '-1'

Test #45:

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

input:

999949000866995087

output:

-1

result:

ok single line: '-1'

Test #46:

score: 0
Accepted
time: 1ms
memory: 3424kb

input:

999995482005103081

output:

-1

result:

ok single line: '-1'

Test #47:

score: 0
Accepted
time: 1ms
memory: 3508kb

input:

999999969999997921

output:

-1

result:

ok single line: '-1'

Test #48:

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

input:

999999999999999989

output:

-1

result:

ok single line: '-1'

Test #49:

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

input:

999999999999999999

output:

-1

result:

ok single line: '-1'