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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#728665#6566. Power of Divisorsahsoltan#AC ✓39ms7220kbC++141.8kb2024-11-09 15:37:312024-11-09 15:37:32

Judging History

你现在查看的是最新测评结果

  • [2024-11-09 15:37:32]
  • 评测
  • 测评结果:AC
  • 用时:39ms
  • 内存:7220kb
  • [2024-11-09 15:37:31]
  • 提交

answer

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

#define rep(i, a, b) for (int i = (a); i < (b); i++)
#define all(x) begin(x), end(x)
#define sz(x) int((x).size())
using ll = long long;
using pii = pair<int, int>;
using vi = vector<int>;

#ifdef LOCAL
auto operator<<(auto& o, auto x) -> decltype(x.first, o);
auto operator<<(auto& o, auto x) -> decltype(x.end(), o) {
  o << "{";
  for (int i = 0; auto y : x) o << ", " + !i++ * 2 << y;
  return o << "}";
}
auto operator<<(auto& o, auto x) -> decltype(x.first, o) {
  return o << "(" << x.first << ", " << x.second << ")";
}
void __print(auto... x) { ((cerr << x << " "), ...) << endl; }
#define debug(x...) __print("[" #x "]:", x)
#else
#define debug(...) 2137
#endif

__int128 bp(__int128 a, __int128 b) {
  __int128 r = 1;
  while(b) {
    if(b & 1) r = r * a;
    a = a * a;
    b /= 2;
    if(a > 2e18 || r > 2e18) return 2e18;
  }
  return r;
}

int main() {
  cin.tie(0)->sync_with_stdio(0);
  ll x;
  cin >> x;
  if(x == 1) {
    cout << 1 << '\n';
    return 0;
  }

  vector<int> div(1e6 + 10);
  for(int i = 1; i < div.size(); i++) {
    for(int j = i; j < div.size(); j += i) div[j]++;
  }
  
  ll ans = 1e18;

  {
    ll n = sqrt(x);
    while(n * n < x) n++;
    while(n * n > x) n--;
    bool f = true;
    if(n * n == x) {
      for(ll i = 2; i * i <= n; i++) {
        if(n % i == 0) {
          f = false;
          break;
        }
      }
      if(f) {
        ans = n;
      }
    }
  }

  for(ll n = 2; n <= 1e6; n++) {
    __int128 pw = 1;
    if(div[n] <= 60) {
      
      for(int i = 0; i < div[n]; i++) {
        pw = pw * n;
        if(pw > 1e18) break;
      }
      if(pw == x) ans = min(ans, n);
    }
  } 
  if(ans == 1e18) cout << -1 << endl;
  else cout << ans << endl;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 38ms
memory: 7088kb

input:

15625

output:

25

result:

ok single line: '25'

Test #2:

score: 0
Accepted
time: 37ms
memory: 6912kb

input:

64000000

output:

20

result:

ok single line: '20'

Test #3:

score: 0
Accepted
time: 33ms
memory: 7220kb

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: 37ms
memory: 6972kb

input:

10

output:

-1

result:

ok single line: '-1'

Test #6:

score: 0
Accepted
time: 37ms
memory: 6992kb

input:

100

output:

-1

result:

ok single line: '-1'

Test #7:

score: 0
Accepted
time: 37ms
memory: 6976kb

input:

10000

output:

10

result:

ok single line: '10'

Test #8:

score: 0
Accepted
time: 37ms
memory: 7004kb

input:

1000000000000000000

output:

100

result:

ok single line: '100'

Test #9:

score: 0
Accepted
time: 33ms
memory: 6872kb

input:

10372926089038969

output:

218089

result:

ok single line: '218089'

Test #10:

score: 0
Accepted
time: 33ms
memory: 6976kb

input:

10642944803293201

output:

10157

result:

ok single line: '10157'

Test #11:

score: 0
Accepted
time: 38ms
memory: 6996kb

input:

10646534823110209

output:

103182047

result:

ok single line: '103182047'

Test #12:

score: 0
Accepted
time: 37ms
memory: 6996kb

input:

1073741824

output:

32

result:

ok single line: '32'

Test #13:

score: 0
Accepted
time: 37ms
memory: 7104kb

input:

121

output:

11

result:

ok single line: '11'

Test #14:

score: 0
Accepted
time: 33ms
memory: 6984kb

input:

1296

output:

6

result:

ok single line: '6'

Test #15:

score: 0
Accepted
time: 37ms
memory: 6992kb

input:

16

output:

-1

result:

ok single line: '-1'

Test #16:

score: 0
Accepted
time: 38ms
memory: 6916kb

input:

16277421889

output:

127583

result:

ok single line: '127583'

Test #17:

score: 0
Accepted
time: 37ms
memory: 6980kb

input:

169

output:

13

result:

ok single line: '13'

Test #18:

score: 0
Accepted
time: 37ms
memory: 6984kb

input:

1985984

output:

-1

result:

ok single line: '-1'

Test #19:

score: 0
Accepted
time: 37ms
memory: 6980kb

input:

2

output:

-1

result:

ok single line: '-1'

Test #20:

score: 0
Accepted
time: 34ms
memory: 6996kb

input:

205891132094649

output:

243

result:

ok single line: '243'

Test #21:

score: 0
Accepted
time: 37ms
memory: 6992kb

input:

25

output:

5

result:

ok single line: '5'

Test #22:

score: 0
Accepted
time: 37ms
memory: 7152kb

input:

2626114239841

output:

1273

result:

ok single line: '1273'

Test #23:

score: 0
Accepted
time: 37ms
memory: 7092kb

input:

26269395104446321

output:

12731

result:

ok single line: '12731'

Test #24:

score: 0
Accepted
time: 37ms
memory: 7100kb

input:

3

output:

-1

result:

ok single line: '-1'

Test #25:

score: 0
Accepted
time: 34ms
memory: 7156kb

input:

3596345248055296

output:

88

result:

ok single line: '88'

Test #26:

score: 0
Accepted
time: 37ms
memory: 6972kb

input:

36

output:

-1

result:

ok single line: '-1'

Test #27:

score: 0
Accepted
time: 36ms
memory: 6912kb

input:

4

output:

2

result:

ok single line: '2'

Test #28:

score: 0
Accepted
time: 37ms
memory: 6976kb

input:

4096

output:

8

result:

ok single line: '8'

Test #29:

score: 0
Accepted
time: 39ms
memory: 6908kb

input:

49

output:

7

result:

ok single line: '7'

Test #30:

score: 0
Accepted
time: 33ms
memory: 6912kb

input:

5

output:

-1

result:

ok single line: '-1'

Test #31:

score: 0
Accepted
time: 37ms
memory: 6996kb

input:

576460752303423488

output:

-1

result:

ok single line: '-1'

Test #32:

score: 0
Accepted
time: 36ms
memory: 6956kb

input:

581431415926321

output:

24112889

result:

ok single line: '24112889'

Test #33:

score: 0
Accepted
time: 29ms
memory: 6900kb

input:

6

output:

-1

result:

ok single line: '-1'

Test #34:

score: 0
Accepted
time: 37ms
memory: 6876kb

input:

64

output:

4

result:

ok single line: '4'

Test #35:

score: 0
Accepted
time: 37ms
memory: 6872kb

input:

656100000000

output:

30

result:

ok single line: '30'

Test #36:

score: 0
Accepted
time: 33ms
memory: 7008kb

input:

7

output:

-1

result:

ok single line: '-1'

Test #37:

score: 0
Accepted
time: 37ms
memory: 7096kb

input:

729

output:

9

result:

ok single line: '9'

Test #38:

score: 0
Accepted
time: 36ms
memory: 6992kb

input:

8

output:

-1

result:

ok single line: '-1'

Test #39:

score: 0
Accepted
time: 33ms
memory: 6916kb

input:

81

output:

-1

result:

ok single line: '-1'

Test #40:

score: 0
Accepted
time: 37ms
memory: 7152kb

input:

8527674378686464

output:

452

result:

ok single line: '452'

Test #41:

score: 0
Accepted
time: 33ms
memory: 6984kb

input:

9

output:

3

result:

ok single line: '3'

Test #42:

score: 0
Accepted
time: 37ms
memory: 6928kb

input:

982134461213542729

output:

994009

result:

ok single line: '994009'

Test #43:

score: 0
Accepted
time: 37ms
memory: 6992kb

input:

9992002399680016

output:

9998

result:

ok single line: '9998'

Test #44:

score: 0
Accepted
time: 34ms
memory: 6932kb

input:

999269311525198921

output:

-1

result:

ok single line: '-1'

Test #45:

score: 0
Accepted
time: 37ms
memory: 6972kb

input:

999949000866995087

output:

-1

result:

ok single line: '-1'

Test #46:

score: 0
Accepted
time: 37ms
memory: 6908kb

input:

999995482005103081

output:

-1

result:

ok single line: '-1'

Test #47:

score: 0
Accepted
time: 37ms
memory: 7080kb

input:

999999969999997921

output:

-1

result:

ok single line: '-1'

Test #48:

score: 0
Accepted
time: 37ms
memory: 7152kb

input:

999999999999999989

output:

-1

result:

ok single line: '-1'

Test #49:

score: 0
Accepted
time: 37ms
memory: 6992kb

input:

999999999999999999

output:

-1

result:

ok single line: '-1'