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#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;
}
源文件, 语言: C++14

详细

Test #1:

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

input:

15625

output:

25

result:

ok single line: '25'

Test #2:

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

input:

64000000

output:

20

result:

ok single line: '20'

Test #3:

score: 0
Accepted
time: 1ms
memory: 3312kb

input:

65536

output:

-1

result:

ok single line: '-1'

Test #4:

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

input:

1

output:

1

result:

ok single line: '1'

Test #5:

score: 0
Accepted
time: 1ms
memory: 3328kb

input:

10

output:

-1

result:

ok single line: '-1'

Test #6:

score: 0
Accepted
time: 1ms
memory: 3360kb

input:

100

output:

-1

result:

ok single line: '-1'

Test #7:

score: 0
Accepted
time: 1ms
memory: 3376kb

input:

10000

output:

10

result:

ok single line: '10'

Test #8:

score: 0
Accepted
time: 1ms
memory: 3364kb

input:

1000000000000000000

output:

100

result:

ok single line: '100'

Test #9:

score: 0
Accepted
time: 1ms
memory: 3328kb

input:

10372926089038969

output:

218089

result:

ok single line: '218089'

Test #10:

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

input:

10642944803293201

output:

10157

result:

ok single line: '10157'

Test #11:

score: 0
Accepted
time: 0ms
memory: 3380kb

input:

10646534823110209

output:

103182047

result:

ok single line: '103182047'

Test #12:

score: 0
Accepted
time: 1ms
memory: 3368kb

input:

1073741824

output:

32

result:

ok single line: '32'

Test #13:

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

input:

121

output:

11

result:

ok single line: '11'

Test #14:

score: 0
Accepted
time: 1ms
memory: 3384kb

input:

1296

output:

6

result:

ok single line: '6'

Test #15:

score: 0
Accepted
time: 0ms
memory: 3552kb

input:

16

output:

-1

result:

ok single line: '-1'

Test #16:

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

input:

16277421889

output:

127583

result:

ok single line: '127583'

Test #17:

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

input:

169

output:

13

result:

ok single line: '13'

Test #18:

score: 0
Accepted
time: 1ms
memory: 3456kb

input:

1985984

output:

-1

result:

ok single line: '-1'

Test #19:

score: 0
Accepted
time: 1ms
memory: 3324kb

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: 1ms
memory: 3548kb

input:

25

output:

5

result:

ok single line: '5'

Test #22:

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

input:

2626114239841

output:

1273

result:

ok single line: '1273'

Test #23:

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

input:

26269395104446321

output:

12731

result:

ok single line: '12731'

Test #24:

score: 0
Accepted
time: 1ms
memory: 3452kb

input:

3

output:

-1

result:

ok single line: '-1'

Test #25:

score: 0
Accepted
time: 1ms
memory: 3452kb

input:

3596345248055296

output:

88

result:

ok single line: '88'

Test #26:

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

input:

36

output:

-1

result:

ok single line: '-1'

Test #27:

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

input:

4

output:

2

result:

ok single line: '2'

Test #28:

score: 0
Accepted
time: 1ms
memory: 3356kb

input:

4096

output:

8

result:

ok single line: '8'

Test #29:

score: 0
Accepted
time: 1ms
memory: 3488kb

input:

49

output:

7

result:

ok single line: '7'

Test #30:

score: 0
Accepted
time: 1ms
memory: 3552kb

input:

5

output:

-1

result:

ok single line: '-1'

Test #31:

score: 0
Accepted
time: 0ms
memory: 3544kb

input:

576460752303423488

output:

-1

result:

ok single line: '-1'

Test #32:

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

input:

581431415926321

output:

24112889

result:

ok single line: '24112889'

Test #33:

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

input:

6

output:

-1

result:

ok single line: '-1'

Test #34:

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

input:

64

output:

4

result:

ok single line: '4'

Test #35:

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

input:

656100000000

output:

30

result:

ok single line: '30'

Test #36:

score: 0
Accepted
time: 1ms
memory: 3380kb

input:

7

output:

-1

result:

ok single line: '-1'

Test #37:

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

input:

729

output:

9

result:

ok single line: '9'

Test #38:

score: 0
Accepted
time: 0ms
memory: 3312kb

input:

8

output:

-1

result:

ok single line: '-1'

Test #39:

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

input:

81

output:

-1

result:

ok single line: '-1'

Test #40:

score: 0
Accepted
time: 1ms
memory: 3380kb

input:

8527674378686464

output:

452

result:

ok single line: '452'

Test #41:

score: 0
Accepted
time: 1ms
memory: 3552kb

input:

9

output:

3

result:

ok single line: '3'

Test #42:

score: 0
Accepted
time: 1ms
memory: 3324kb

input:

982134461213542729

output:

994009

result:

ok single line: '994009'

Test #43:

score: 0
Accepted
time: 1ms
memory: 3364kb

input:

9992002399680016

output:

9998

result:

ok single line: '9998'

Test #44:

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

input:

999269311525198921

output:

-1

result:

ok single line: '-1'

Test #45:

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

input:

999949000866995087

output:

-1

result:

ok single line: '-1'

Test #46:

score: 0
Accepted
time: 1ms
memory: 3380kb

input:

999995482005103081

output:

-1

result:

ok single line: '-1'

Test #47:

score: 0
Accepted
time: 1ms
memory: 3312kb

input:

999999969999997921

output:

-1

result:

ok single line: '-1'

Test #48:

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

input:

999999999999999989

output:

-1

result:

ok single line: '-1'

Test #49:

score: 0
Accepted
time: 1ms
memory: 3376kb

input:

999999999999999999

output:

-1

result:

ok single line: '-1'
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