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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#117669#6566. Power of Divisorscada_dia_mas_insanos#AC ✓1ms3556kbC++141.1kb2023-07-01 22:09:372023-07-01 22:09:39

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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.
  • [2023-07-01 22:09:39]
  • 评测
  • 测评结果：AC
  • 用时：1ms
  • 内存：3556kb
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  • [2023-07-01 22:09:37]
  • 提交

answer

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

bool overFlow(ll a, ll b){
	return (b > LLONG_MAX / a) || (a > LLONG_MAX / b);
}


ll pow (ll x, ll p){
	ll ans = 1;
	while(p){
		if(p&1){
			if(overFlow(ans,x)){
				ans = LLONG_MAX;
				break;
			}
			ans *= x;
		}
		if(overFlow(x,x))
			x = LLONG_MAX;
		else 
		    x *= x;
		p >>=1;
	}
	return ans;
}

ll divisors(ll x){
	ll ans = 0;
	for(ll i = 1; i*i <= x;++i){
		if(x % i == 0){
			++ans;
			if(x / i != i) ++ans; 
		}
	}
	return ans;
}

int main(){
	ios_base::sync_with_stdio(0),cin.tie(0);
	ll x; cin >> x;
	ll sq = 2;
	ll ans = LLONG_MAX;
	if(x == 1){
	    cout << "1\n";
	    return 0;
	}
	while(true){
		ll lo = 1, hi = 1e9;
		ll posAns = 0;
		while(lo <= hi){
			ll mid = (lo+hi)>>1;
			if(pow(mid,sq) <= x){
				posAns = mid;
				lo = mid + 1;
			} else hi = mid - 1;
		}
		if(pow(posAns,sq) == x && divisors(posAns) == sq)
			ans = posAns;
		if(posAns == 1) break;
		++sq;
	}

	cout << (ans == LLONG_MAX? -1: ans) << '\n';
	return 0;
}
Source code, Language: C++14

Details

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Test #1:

score: 100
Accepted
time: 0ms
memory: 3520kb

input:

15625

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25

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ok single line: '25'

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score: 0
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time: 1ms
memory: 3496kb

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64000000

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20

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score: 0
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time: 1ms
memory: 3312kb

input:

65536

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-1

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score: 0
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time: 1ms
memory: 3316kb

input:

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ok single line: '1'

Test #5:

score: 0
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time: 1ms
memory: 3328kb

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10

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-1

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score: 0
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time: 1ms
memory: 3360kb

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100

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-1

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score: 0
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time: 1ms
memory: 3376kb

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10

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score: 0
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time: 1ms
memory: 3364kb

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score: 0
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time: 1ms
memory: 3328kb

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score: 0
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memory: 3456kb

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score: 0
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time: 1ms
memory: 3324kb

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-1

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memory: 3392kb

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score: 0
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memory: 3548kb

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score: 0
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memory: 3388kb

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score: 0
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memory: 3556kb

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ok single line: '12731'

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score: 0
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memory: 3452kb

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ok single line: '-1'

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score: 0
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memory: 3452kb

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ok single line: '88'

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score: 0
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memory: 3392kb

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-1

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ok single line: '-1'

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score: 0
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memory: 3520kb

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ok single line: '2'

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score: 0
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memory: 3356kb

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score: 0
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memory: 3488kb

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ok single line: '7'

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score: 0
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time: 1ms
memory: 3552kb

input:

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output:

-1

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ok single line: '-1'

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score: 0
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time: 0ms
memory: 3544kb

input:

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output:

-1

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ok single line: '-1'

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score: 0
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time: 1ms
memory: 3388kb

input:

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output:

24112889

result:

ok single line: '24112889'

Test #33:

score: 0
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time: 1ms
memory: 3316kb

input:

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output:

-1

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ok single line: '-1'

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score: 0
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time: 1ms
memory: 3392kb

input:

64

output:

4

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ok single line: '4'

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score: 0
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time: 1ms
memory: 3520kb

input:

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30

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score: 0
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time: 1ms
memory: 3380kb

input:

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output:

-1

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ok single line: '-1'

Test #37:

score: 0
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time: 1ms
memory: 3392kb

input:

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output:

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score: 0
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time: 0ms
memory: 3312kb

input:

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output:

-1

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score: 0
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time: 1ms
memory: 3492kb

input:

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-1

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score: 0
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memory: 3380kb

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score: 0
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memory: 3552kb

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score: 0
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score: 0
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memory: 3364kb

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output:

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score: 0
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memory: 3520kb

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output:

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score: 0
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memory: 3396kb

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score: 0
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memory: 3380kb

input:

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score: 0
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memory: 3312kb

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score: 0
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memory: 3372kb

input:

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ok single line: '-1'

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score: 0
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time: 1ms
memory: 3376kb

input:

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output:

-1

result:

ok single line: '-1'
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