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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#414721#6566. Power of Divisorskaruna#AC ✓1ms3928kbC++20868b2024-05-19 15:52:192024-05-19 15:52:20

Judging History

你现在查看的是最新测评结果

  • [2024-05-19 15:52:20]
  • 评测
  • 测评结果:AC
  • 用时:1ms
  • 内存:3928kb
  • [2024-05-19 15:52:19]
  • 提交

answer

#include <bits/stdc++.h>
#define ff first
#define ss second
using namespace std;

typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;

ll N, ans=1e18;

ll mypow(ll x, int k)
{
	__int128 ret=1;
	for(int i=0; i<k; i++)
	{
		ret*=x;
		if(ret>N) return N+1;
	}
	return ret;
}

ll f(int K)
{
	ll lo=0, hi=1e9+10;
	while(lo+1<hi)
	{
		ll mid=lo+hi>>1;
		if(mypow(mid, K)<=N) lo=mid;
		else hi=mid;
	}
	if(mypow(lo, K)!=N) return -1;
	return lo;
}

int main() {
	cin.tie(0); ios_base::sync_with_stdio(0);

	scanf("%lld", &N);
	if(N==1) return !printf("1\n");

	for(int i=100; i>=2; i--)
	{
		ll t=f(i);
		if(t==-1) continue;

		int cnt=0;
		for(ll j=1; j*j<=t; j++)
		{
			if(t%j) continue;
			if(j*j==t) cnt++;
			else cnt+=2;
		}
		if(cnt==i) return !printf("%lld\n", t);
	}
	printf("-1\n");
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3784kb

input:

15625

output:

25

result:

ok single line: '25'

Test #2:

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

input:

64000000

output:

20

result:

ok single line: '20'

Test #3:

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

input:

65536

output:

-1

result:

ok single line: '-1'

Test #4:

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

input:

1

output:

1

result:

ok single line: '1'

Test #5:

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

input:

10

output:

-1

result:

ok single line: '-1'

Test #6:

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

input:

100

output:

-1

result:

ok single line: '-1'

Test #7:

score: 0
Accepted
time: 0ms
memory: 3920kb

input:

10000

output:

10

result:

ok single line: '10'

Test #8:

score: 0
Accepted
time: 1ms
memory: 3816kb

input:

1000000000000000000

output:

100

result:

ok single line: '100'

Test #9:

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

input:

10372926089038969

output:

218089

result:

ok single line: '218089'

Test #10:

score: 0
Accepted
time: 1ms
memory: 3812kb

input:

10642944803293201

output:

10157

result:

ok single line: '10157'

Test #11:

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

input:

10646534823110209

output:

103182047

result:

ok single line: '103182047'

Test #12:

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

input:

1073741824

output:

32

result:

ok single line: '32'

Test #13:

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

input:

121

output:

11

result:

ok single line: '11'

Test #14:

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

input:

1296

output:

6

result:

ok single line: '6'

Test #15:

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

input:

16

output:

-1

result:

ok single line: '-1'

Test #16:

score: 0
Accepted
time: 1ms
memory: 3916kb

input:

16277421889

output:

127583

result:

ok single line: '127583'

Test #17:

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

input:

169

output:

13

result:

ok single line: '13'

Test #18:

score: 0
Accepted
time: 1ms
memory: 3852kb

input:

1985984

output:

-1

result:

ok single line: '-1'

Test #19:

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

input:

2

output:

-1

result:

ok single line: '-1'

Test #20:

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

input:

205891132094649

output:

243

result:

ok single line: '243'

Test #21:

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

input:

25

output:

5

result:

ok single line: '5'

Test #22:

score: 0
Accepted
time: 1ms
memory: 3884kb

input:

2626114239841

output:

1273

result:

ok single line: '1273'

Test #23:

score: 0
Accepted
time: 1ms
memory: 3924kb

input:

26269395104446321

output:

12731

result:

ok single line: '12731'

Test #24:

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

input:

3

output:

-1

result:

ok single line: '-1'

Test #25:

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

input:

3596345248055296

output:

88

result:

ok single line: '88'

Test #26:

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

input:

36

output:

-1

result:

ok single line: '-1'

Test #27:

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

input:

4

output:

2

result:

ok single line: '2'

Test #28:

score: 0
Accepted
time: 1ms
memory: 3868kb

input:

4096

output:

8

result:

ok single line: '8'

Test #29:

score: 0
Accepted
time: 1ms
memory: 3876kb

input:

49

output:

7

result:

ok single line: '7'

Test #30:

score: 0
Accepted
time: 0ms
memory: 3824kb

input:

5

output:

-1

result:

ok single line: '-1'

Test #31:

score: 0
Accepted
time: 1ms
memory: 3688kb

input:

576460752303423488

output:

-1

result:

ok single line: '-1'

Test #32:

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

input:

581431415926321

output:

24112889

result:

ok single line: '24112889'

Test #33:

score: 0
Accepted
time: 1ms
memory: 3684kb

input:

6

output:

-1

result:

ok single line: '-1'

Test #34:

score: 0
Accepted
time: 1ms
memory: 3788kb

input:

64

output:

4

result:

ok single line: '4'

Test #35:

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

input:

656100000000

output:

30

result:

ok single line: '30'

Test #36:

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

input:

7

output:

-1

result:

ok single line: '-1'

Test #37:

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

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: 0ms
memory: 3692kb

input:

81

output:

-1

result:

ok single line: '-1'

Test #40:

score: 0
Accepted
time: 1ms
memory: 3916kb

input:

8527674378686464

output:

452

result:

ok single line: '452'

Test #41:

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

input:

9

output:

3

result:

ok single line: '3'

Test #42:

score: 0
Accepted
time: 1ms
memory: 3928kb

input:

982134461213542729

output:

994009

result:

ok single line: '994009'

Test #43:

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

input:

9992002399680016

output:

9998

result:

ok single line: '9998'

Test #44:

score: 0
Accepted
time: 0ms
memory: 3860kb

input:

999269311525198921

output:

-1

result:

ok single line: '-1'

Test #45:

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

input:

999949000866995087

output:

-1

result:

ok single line: '-1'

Test #46:

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

input:

999995482005103081

output:

-1

result:

ok single line: '-1'

Test #47:

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

input:

999999969999997921

output:

-1

result:

ok single line: '-1'

Test #48:

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

input:

999999999999999989

output:

-1

result:

ok single line: '-1'

Test #49:

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

input:

999999999999999999

output:

-1

result:

ok single line: '-1'