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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
#140307#6566. Power of Divisorssmosp#AC ✓1ms3856kbC++171.6kb2023-08-15 17:17:242023-08-15 17:17:26

Judging History

你现在查看的是最新测评结果

  • [2023-08-15 17:17:26]
  • 评测
  • 测评结果:AC
  • 用时:1ms
  • 内存:3856kb
  • [2023-08-15 17:17:24]
  • 提交

answer

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

int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);

  const int64_t MX = 1e18+1e9;

  auto raise_to_pow = [&](int64_t x, int y)->int64_t {
    int64_t res = 1;
    bool overflowed = false;
    while(y--) {
      if (res > MX/x) {
        overflowed = true;
        break;
      }
      res *= x;
    }
    return overflowed?MX:res;
  };

  auto kth_root = [&](int64_t N, int k) {
    int64_t root = pow(N, 1.0/k);
    while(true) {
      int64_t pw = raise_to_pow(root, k);
      if (pw > N) break;
      root++;
    }
    while(true) {
      int64_t pw = raise_to_pow(root, k);
      if (pw <= N) break;
      root--;
    }
    return raise_to_pow(root, k) == N?root:-1;
  };

  auto factorize = [&](int64_t N) {
    vector<pair<int64_t, int>> res;
    for (int64_t i = 2; i * i <= N; i++) {
      if (N % i == 0) {
        int c = 0;
        while (N % i == 0) {
          N /= i;
          c++;
        }
        res.push_back({i, c});
      }
    }
    if (N != 1) res.push_back({N, 1});
    return res;
  };


  int64_t N;
  cin >> N;
  if (N == 1) {
    cout << 1 << '\n';
    return 0;
  }
  int64_t ans = MX;
  for (int k = 2; k <= 65; k++) {
    int64_t root = kth_root(N, k);
    if (root == -1) continue;
    auto pf = factorize(root);
    int64_t divc = 1;
    for (auto& [p, e] : pf) {
      divc *= (1+e);
    }
    if (divc == k) {
      ans = min(ans, root);
    }
  }
  if (ans == MX) {
    cout << -1 << '\n';
  } else {
    cout << ans << '\n';
  }
}


详细

Test #1:

score: 100
Accepted
time: 1ms
memory: 3728kb

input:

15625

output:

25

result:

ok single line: '25'

Test #2:

score: 0
Accepted
time: 1ms
memory: 3736kb

input:

64000000

output:

20

result:

ok single line: '20'

Test #3:

score: 0
Accepted
time: 1ms
memory: 3856kb

input:

65536

output:

-1

result:

ok single line: '-1'

Test #4:

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

input:

1

output:

1

result:

ok single line: '1'

Test #5:

score: 0
Accepted
time: 1ms
memory: 3740kb

input:

10

output:

-1

result:

ok single line: '-1'

Test #6:

score: 0
Accepted
time: 1ms
memory: 3564kb

input:

100

output:

-1

result:

ok single line: '-1'

Test #7:

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

input:

10000

output:

10

result:

ok single line: '10'

Test #8:

score: 0
Accepted
time: 1ms
memory: 3792kb

input:

1000000000000000000

output:

100

result:

ok single line: '100'

Test #9:

score: 0
Accepted
time: 1ms
memory: 3848kb

input:

10372926089038969

output:

218089

result:

ok single line: '218089'

Test #10:

score: 0
Accepted
time: 1ms
memory: 3844kb

input:

10642944803293201

output:

10157

result:

ok single line: '10157'

Test #11:

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

input:

10646534823110209

output:

103182047

result:

ok single line: '103182047'

Test #12:

score: 0
Accepted
time: 1ms
memory: 3732kb

input:

1073741824

output:

32

result:

ok single line: '32'

Test #13:

score: 0
Accepted
time: 1ms
memory: 3820kb

input:

121

output:

11

result:

ok single line: '11'

Test #14:

score: 0
Accepted
time: 1ms
memory: 3732kb

input:

1296

output:

6

result:

ok single line: '6'

Test #15:

score: 0
Accepted
time: 1ms
memory: 3792kb

input:

16

output:

-1

result:

ok single line: '-1'

Test #16:

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

input:

16277421889

output:

127583

result:

ok single line: '127583'

Test #17:

score: 0
Accepted
time: 1ms
memory: 3564kb

input:

169

output:

13

result:

ok single line: '13'

Test #18:

score: 0
Accepted
time: 1ms
memory: 3840kb

input:

1985984

output:

-1

result:

ok single line: '-1'

Test #19:

score: 0
Accepted
time: 1ms
memory: 3680kb

input:

2

output:

-1

result:

ok single line: '-1'

Test #20:

score: 0
Accepted
time: 1ms
memory: 3724kb

input:

205891132094649

output:

243

result:

ok single line: '243'

Test #21:

score: 0
Accepted
time: 1ms
memory: 3804kb

input:

25

output:

5

result:

ok single line: '5'

Test #22:

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

input:

2626114239841

output:

1273

result:

ok single line: '1273'

Test #23:

score: 0
Accepted
time: 1ms
memory: 3744kb

input:

26269395104446321

output:

12731

result:

ok single line: '12731'

Test #24:

score: 0
Accepted
time: 1ms
memory: 3792kb

input:

3

output:

-1

result:

ok single line: '-1'

Test #25:

score: 0
Accepted
time: 0ms
memory: 3844kb

input:

3596345248055296

output:

88

result:

ok single line: '88'

Test #26:

score: 0
Accepted
time: 1ms
memory: 3564kb

input:

36

output:

-1

result:

ok single line: '-1'

Test #27:

score: 0
Accepted
time: 0ms
memory: 3804kb

input:

4

output:

2

result:

ok single line: '2'

Test #28:

score: 0
Accepted
time: 1ms
memory: 3736kb

input:

4096

output:

8

result:

ok single line: '8'

Test #29:

score: 0
Accepted
time: 1ms
memory: 3564kb

input:

49

output:

7

result:

ok single line: '7'

Test #30:

score: 0
Accepted
time: 1ms
memory: 3804kb

input:

5

output:

-1

result:

ok single line: '-1'

Test #31:

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

input:

576460752303423488

output:

-1

result:

ok single line: '-1'

Test #32:

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

input:

581431415926321

output:

24112889

result:

ok single line: '24112889'

Test #33:

score: 0
Accepted
time: 1ms
memory: 3724kb

input:

6

output:

-1

result:

ok single line: '-1'

Test #34:

score: 0
Accepted
time: 1ms
memory: 3736kb

input:

64

output:

4

result:

ok single line: '4'

Test #35:

score: 0
Accepted
time: 1ms
memory: 3800kb

input:

656100000000

output:

30

result:

ok single line: '30'

Test #36:

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

input:

7

output:

-1

result:

ok single line: '-1'

Test #37:

score: 0
Accepted
time: 0ms
memory: 3816kb

input:

729

output:

9

result:

ok single line: '9'

Test #38:

score: 0
Accepted
time: 1ms
memory: 3736kb

input:

8

output:

-1

result:

ok single line: '-1'

Test #39:

score: 0
Accepted
time: 1ms
memory: 3808kb

input:

81

output:

-1

result:

ok single line: '-1'

Test #40:

score: 0
Accepted
time: 1ms
memory: 3568kb

input:

8527674378686464

output:

452

result:

ok single line: '452'

Test #41:

score: 0
Accepted
time: 1ms
memory: 3648kb

input:

9

output:

3

result:

ok single line: '3'

Test #42:

score: 0
Accepted
time: 0ms
memory: 3760kb

input:

982134461213542729

output:

994009

result:

ok single line: '994009'

Test #43:

score: 0
Accepted
time: 1ms
memory: 3856kb

input:

9992002399680016

output:

9998

result:

ok single line: '9998'

Test #44:

score: 0
Accepted
time: 1ms
memory: 3804kb

input:

999269311525198921

output:

-1

result:

ok single line: '-1'

Test #45:

score: 0
Accepted
time: 1ms
memory: 3564kb

input:

999949000866995087

output:

-1

result:

ok single line: '-1'

Test #46:

score: 0
Accepted
time: 0ms
memory: 3648kb

input:

999995482005103081

output:

-1

result:

ok single line: '-1'

Test #47:

score: 0
Accepted
time: 1ms
memory: 3648kb

input:

999999969999997921

output:

-1

result:

ok single line: '-1'

Test #48:

score: 0
Accepted
time: 1ms
memory: 3756kb

input:

999999999999999989

output:

-1

result:

ok single line: '-1'

Test #49:

score: 0
Accepted
time: 1ms
memory: 3844kb

input:

999999999999999999

output:

-1

result:

ok single line: '-1'