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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#116502#6566. Power of DivisorsNYCU_Yamada#AC ✓32ms18796kbC++201.3kb2023-06-29 13:30:402023-06-29 13:30:43

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.
  • [2023-06-29 13:30:43]
  • 评测
  • 测评结果:AC
  • 用时:32ms
  • 内存:18796kb
  • [2023-06-29 13:30:40]
  • 提交

answer

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

#define int int64_t

const int sq3C = 1'000'000;

bool chk_prime(int x) {
    for (int i = 2; i*i <= x; ++i) {
        if (x % i == 0) return false;
    }
    return true;
}

void solve() {
    int X; cin >> X;
    
    if (X > sq3C) {
        int sqX = sqrtl(X);
        for (int i = sqX-3; i <= sqX+3; ++i) {
            if (i * i == X and chk_prime(i)) return cout << i << "\n", void();
        }
    }
    
    bitset<sq3C> is_prime; is_prime.set();
    vector<int> div_cnt(sq3C+1), max_pf(sq3C+1);
    div_cnt[1] = 1;
    for (int i = 2; i <= sq3C; ++i) {
        if (is_prime[i]) {
            max_pf[i] = i, div_cnt[i] = 2;
            for (int j = i+i; j <= sq3C; j += i) is_prime[j] = 0, max_pf[j] = i;
        }
        else {
            int j = i, cnt = 1;
            while (j % max_pf[i] == 0) j /= max_pf[i], ++cnt;
            div_cnt[i] = div_cnt[j] * cnt;
        }
    }
    
    for (int i = 1; i <= sq3C; ++i) {
        __int128_t val = 1;
        for (int exp = 1; exp <= div_cnt[i]; ++exp) {
            val *= i;
            if (val > X) break;
        }
        if (val == X) return cout << i << "\n", void();
    }
    
    cout << -1 << "\n";
}

int32_t main() {
    ios_base::sync_with_stdio(0), cin.tie(0);
    
    solve();
    
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 28ms
memory: 18704kb

input:

15625

output:

25

result:

ok single line: '25'

Test #2:

score: 0
Accepted
time: 23ms
memory: 18640kb

input:

64000000

output:

20

result:

ok single line: '20'

Test #3:

score: 0
Accepted
time: 24ms
memory: 18652kb

input:

65536

output:

-1

result:

ok single line: '-1'

Test #4:

score: 0
Accepted
time: 24ms
memory: 18744kb

input:

1

output:

1

result:

ok single line: '1'

Test #5:

score: 0
Accepted
time: 24ms
memory: 18676kb

input:

10

output:

-1

result:

ok single line: '-1'

Test #6:

score: 0
Accepted
time: 26ms
memory: 18724kb

input:

100

output:

-1

result:

ok single line: '-1'

Test #7:

score: 0
Accepted
time: 26ms
memory: 18656kb

input:

10000

output:

10

result:

ok single line: '10'

Test #8:

score: 0
Accepted
time: 23ms
memory: 18668kb

input:

1000000000000000000

output:

100

result:

ok single line: '100'

Test #9:

score: 0
Accepted
time: 23ms
memory: 18680kb

input:

10372926089038969

output:

218089

result:

ok single line: '218089'

Test #10:

score: 0
Accepted
time: 23ms
memory: 18692kb

input:

10642944803293201

output:

10157

result:

ok single line: '10157'

Test #11:

score: 0
Accepted
time: 1ms
memory: 3500kb

input:

10646534823110209

output:

103182047

result:

ok single line: '103182047'

Test #12:

score: 0
Accepted
time: 27ms
memory: 18792kb

input:

1073741824

output:

32

result:

ok single line: '32'

Test #13:

score: 0
Accepted
time: 24ms
memory: 18700kb

input:

121

output:

11

result:

ok single line: '11'

Test #14:

score: 0
Accepted
time: 23ms
memory: 18752kb

input:

1296

output:

6

result:

ok single line: '6'

Test #15:

score: 0
Accepted
time: 21ms
memory: 18764kb

input:

16

output:

-1

result:

ok single line: '-1'

Test #16:

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

input:

16277421889

output:

127583

result:

ok single line: '127583'

Test #17:

score: 0
Accepted
time: 22ms
memory: 18676kb

input:

169

output:

13

result:

ok single line: '13'

Test #18:

score: 0
Accepted
time: 27ms
memory: 18740kb

input:

1985984

output:

-1

result:

ok single line: '-1'

Test #19:

score: 0
Accepted
time: 29ms
memory: 18656kb

input:

2

output:

-1

result:

ok single line: '-1'

Test #20:

score: 0
Accepted
time: 22ms
memory: 18704kb

input:

205891132094649

output:

243

result:

ok single line: '243'

Test #21:

score: 0
Accepted
time: 26ms
memory: 18724kb

input:

25

output:

5

result:

ok single line: '5'

Test #22:

score: 0
Accepted
time: 24ms
memory: 18792kb

input:

2626114239841

output:

1273

result:

ok single line: '1273'

Test #23:

score: 0
Accepted
time: 23ms
memory: 18696kb

input:

26269395104446321

output:

12731

result:

ok single line: '12731'

Test #24:

score: 0
Accepted
time: 25ms
memory: 18592kb

input:

3

output:

-1

result:

ok single line: '-1'

Test #25:

score: 0
Accepted
time: 27ms
memory: 18672kb

input:

3596345248055296

output:

88

result:

ok single line: '88'

Test #26:

score: 0
Accepted
time: 28ms
memory: 18796kb

input:

36

output:

-1

result:

ok single line: '-1'

Test #27:

score: 0
Accepted
time: 25ms
memory: 18672kb

input:

4

output:

2

result:

ok single line: '2'

Test #28:

score: 0
Accepted
time: 27ms
memory: 18668kb

input:

4096

output:

8

result:

ok single line: '8'

Test #29:

score: 0
Accepted
time: 26ms
memory: 18784kb

input:

49

output:

7

result:

ok single line: '7'

Test #30:

score: 0
Accepted
time: 24ms
memory: 18648kb

input:

5

output:

-1

result:

ok single line: '-1'

Test #31:

score: 0
Accepted
time: 29ms
memory: 18708kb

input:

576460752303423488

output:

-1

result:

ok single line: '-1'

Test #32:

score: 0
Accepted
time: 1ms
memory: 3580kb

input:

581431415926321

output:

24112889

result:

ok single line: '24112889'

Test #33:

score: 0
Accepted
time: 22ms
memory: 18712kb

input:

6

output:

-1

result:

ok single line: '-1'

Test #34:

score: 0
Accepted
time: 23ms
memory: 18644kb

input:

64

output:

4

result:

ok single line: '4'

Test #35:

score: 0
Accepted
time: 23ms
memory: 18740kb

input:

656100000000

output:

30

result:

ok single line: '30'

Test #36:

score: 0
Accepted
time: 27ms
memory: 18772kb

input:

7

output:

-1

result:

ok single line: '-1'

Test #37:

score: 0
Accepted
time: 23ms
memory: 18720kb

input:

729

output:

9

result:

ok single line: '9'

Test #38:

score: 0
Accepted
time: 29ms
memory: 18672kb

input:

8

output:

-1

result:

ok single line: '-1'

Test #39:

score: 0
Accepted
time: 23ms
memory: 18632kb

input:

81

output:

-1

result:

ok single line: '-1'

Test #40:

score: 0
Accepted
time: 27ms
memory: 18792kb

input:

8527674378686464

output:

452

result:

ok single line: '452'

Test #41:

score: 0
Accepted
time: 20ms
memory: 18676kb

input:

9

output:

3

result:

ok single line: '3'

Test #42:

score: 0
Accepted
time: 32ms
memory: 18744kb

input:

982134461213542729

output:

994009

result:

ok single line: '994009'

Test #43:

score: 0
Accepted
time: 22ms
memory: 18728kb

input:

9992002399680016

output:

9998

result:

ok single line: '9998'

Test #44:

score: 0
Accepted
time: 32ms
memory: 18724kb

input:

999269311525198921

output:

-1

result:

ok single line: '-1'

Test #45:

score: 0
Accepted
time: 31ms
memory: 18724kb

input:

999949000866995087

output:

-1

result:

ok single line: '-1'

Test #46:

score: 0
Accepted
time: 30ms
memory: 18684kb

input:

999995482005103081

output:

-1

result:

ok single line: '-1'

Test #47:

score: 0
Accepted
time: 30ms
memory: 18660kb

input:

999999969999997921

output:

-1

result:

ok single line: '-1'

Test #48:

score: 0
Accepted
time: 28ms
memory: 18732kb

input:

999999999999999989

output:

-1

result:

ok single line: '-1'

Test #49:

score: 0
Accepted
time: 31ms
memory: 18696kb

input:

999999999999999999

output:

-1

result:

ok single line: '-1'