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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#411163#6566. Power of DivisorsDanielChangAC ✓2ms3956kbC++171.2kb2024-05-15 02:47:252024-05-15 02:47:25

Judging History

你现在查看的是最新测评结果

  • [2024-05-15 02:47:25]
  • 评测
  • 测评结果:AC
  • 用时:2ms
  • 内存:3956kb
  • [2024-05-15 02:47:25]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define ld long double
#define endl '\n'

/*
	Factoring Integers
	Factor any integer such that N * N > n
*/

const int N = 1e5+7;
vector<bool> is_prime;
vector<ll> primes;

void init_factor(){
	is_prime.assign(N+1, true);
	primes.clear();
	is_prime[0] = is_prime[1] = false;
	for(int i=2; i*i<=N; i++)
		for(int j=i*i; is_prime[i] && j<=N; j+=i)
			is_prime[j] = false;
	for(int i=2; i<=N; i++)
		if(is_prime[i]) primes.push_back(i);
}

// factor(420) = [[2,2], [3,1], [5,1], [7,1]]
// factor(74) = [[2,1], [37,1]]
int factor(ll n){
	assert(1LL*N*N > n);
	int v = 0;
	for(int i=1; i*i<=n; i++){
		if(n%i == 0){
		    v++;
		    if(i*i != n) v++;
		}
	}
	return v;
}

int main(){
	ios::sync_with_stdio(false); cin.tie(0);
	init_factor();
	ll x;
	cin >> x;
	if(x==1){
	    cout << 1;
	    return 0;
	}
	ll ans = -1;
	for(ll p=2; p<=1000; p++){
	    ll a = (ll) (pow((ld)x, (ld)1.0 / (ld)p) + 0.0000001);
	    // cout << a << "^" << p << endl;
	    ll z = 1;
	    for(int i=0; i<p; i++) z *= a;
	    if(z == x && factor(a) == p){
	        cout << a;
	        return 0;
	    }
	}
	cout << ans;
}

詳細信息

Test #1:

score: 100
Accepted
time: 0ms
memory: 3804kb

input:

15625

output:

25

result:

ok single line: '25'

Test #2:

score: 0
Accepted
time: 1ms
memory: 3828kb

input:

64000000

output:

20

result:

ok single line: '20'

Test #3:

score: 0
Accepted
time: 2ms
memory: 3872kb

input:

65536

output:

-1

result:

ok single line: '-1'

Test #4:

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

input:

1

output:

1

result:

ok single line: '1'

Test #5:

score: 0
Accepted
time: 2ms
memory: 3828kb

input:

10

output:

-1

result:

ok single line: '-1'

Test #6:

score: 0
Accepted
time: 2ms
memory: 3720kb

input:

100

output:

-1

result:

ok single line: '-1'

Test #7:

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

input:

10000

output:

10

result:

ok single line: '10'

Test #8:

score: 0
Accepted
time: 1ms
memory: 3824kb

input:

1000000000000000000

output:

100

result:

ok single line: '100'

Test #9:

score: 0
Accepted
time: 1ms
memory: 3908kb

input:

10372926089038969

output:

218089

result:

ok single line: '218089'

Test #10:

score: 0
Accepted
time: 1ms
memory: 3716kb

input:

10642944803293201

output:

10157

result:

ok single line: '10157'

Test #11:

score: 0
Accepted
time: 1ms
memory: 3764kb

input:

10646534823110209

output:

103182047

result:

ok single line: '103182047'

Test #12:

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

input:

1073741824

output:

32

result:

ok single line: '32'

Test #13:

score: 0
Accepted
time: 1ms
memory: 3720kb

input:

121

output:

11

result:

ok single line: '11'

Test #14:

score: 0
Accepted
time: 1ms
memory: 3872kb

input:

1296

output:

6

result:

ok single line: '6'

Test #15:

score: 0
Accepted
time: 2ms
memory: 3904kb

input:

16

output:

-1

result:

ok single line: '-1'

Test #16:

score: 0
Accepted
time: 1ms
memory: 3720kb

input:

16277421889

output:

127583

result:

ok single line: '127583'

Test #17:

score: 0
Accepted
time: 1ms
memory: 3828kb

input:

169

output:

13

result:

ok single line: '13'

Test #18:

score: 0
Accepted
time: 2ms
memory: 3864kb

input:

1985984

output:

-1

result:

ok single line: '-1'

Test #19:

score: 0
Accepted
time: 2ms
memory: 3824kb

input:

2

output:

-1

result:

ok single line: '-1'

Test #20:

score: 0
Accepted
time: 1ms
memory: 3824kb

input:

205891132094649

output:

243

result:

ok single line: '243'

Test #21:

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

input:

25

output:

5

result:

ok single line: '5'

Test #22:

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

input:

2626114239841

output:

1273

result:

ok single line: '1273'

Test #23:

score: 0
Accepted
time: 1ms
memory: 3808kb

input:

26269395104446321

output:

12731

result:

ok single line: '12731'

Test #24:

score: 0
Accepted
time: 2ms
memory: 3860kb

input:

3

output:

-1

result:

ok single line: '-1'

Test #25:

score: 0
Accepted
time: 1ms
memory: 3808kb

input:

3596345248055296

output:

88

result:

ok single line: '88'

Test #26:

score: 0
Accepted
time: 2ms
memory: 3940kb

input:

36

output:

-1

result:

ok single line: '-1'

Test #27:

score: 0
Accepted
time: 1ms
memory: 3748kb

input:

4

output:

2

result:

ok single line: '2'

Test #28:

score: 0
Accepted
time: 1ms
memory: 3720kb

input:

4096

output:

8

result:

ok single line: '8'

Test #29:

score: 0
Accepted
time: 1ms
memory: 3860kb

input:

49

output:

7

result:

ok single line: '7'

Test #30:

score: 0
Accepted
time: 2ms
memory: 3884kb

input:

5

output:

-1

result:

ok single line: '-1'

Test #31:

score: 0
Accepted
time: 0ms
memory: 3940kb

input:

576460752303423488

output:

-1

result:

ok single line: '-1'

Test #32:

score: 0
Accepted
time: 1ms
memory: 3892kb

input:

581431415926321

output:

24112889

result:

ok single line: '24112889'

Test #33:

score: 0
Accepted
time: 2ms
memory: 3956kb

input:

6

output:

-1

result:

ok single line: '-1'

Test #34:

score: 0
Accepted
time: 1ms
memory: 3824kb

input:

64

output:

4

result:

ok single line: '4'

Test #35:

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

input:

656100000000

output:

30

result:

ok single line: '30'

Test #36:

score: 0
Accepted
time: 2ms
memory: 3944kb

input:

7

output:

-1

result:

ok single line: '-1'

Test #37:

score: 0
Accepted
time: 1ms
memory: 3948kb

input:

729

output:

9

result:

ok single line: '9'

Test #38:

score: 0
Accepted
time: 2ms
memory: 3716kb

input:

8

output:

-1

result:

ok single line: '-1'

Test #39:

score: 0
Accepted
time: 2ms
memory: 3856kb

input:

81

output:

-1

result:

ok single line: '-1'

Test #40:

score: 0
Accepted
time: 0ms
memory: 3864kb

input:

8527674378686464

output:

452

result:

ok single line: '452'

Test #41:

score: 0
Accepted
time: 1ms
memory: 3752kb

input:

9

output:

3

result:

ok single line: '3'

Test #42:

score: 0
Accepted
time: 1ms
memory: 3888kb

input:

982134461213542729

output:

994009

result:

ok single line: '994009'

Test #43:

score: 0
Accepted
time: 1ms
memory: 3716kb

input:

9992002399680016

output:

9998

result:

ok single line: '9998'

Test #44:

score: 0
Accepted
time: 2ms
memory: 3904kb

input:

999269311525198921

output:

-1

result:

ok single line: '-1'

Test #45:

score: 0
Accepted
time: 2ms
memory: 3828kb

input:

999949000866995087

output:

-1

result:

ok single line: '-1'

Test #46:

score: 0
Accepted
time: 2ms
memory: 3856kb

input:

999995482005103081

output:

-1

result:

ok single line: '-1'

Test #47:

score: 0
Accepted
time: 2ms
memory: 3824kb

input:

999999969999997921

output:

-1

result:

ok single line: '-1'

Test #48:

score: 0
Accepted
time: 2ms
memory: 3804kb

input:

999999999999999989

output:

-1

result:

ok single line: '-1'

Test #49:

score: 0
Accepted
time: 2ms
memory: 3768kb

input:

999999999999999999

output:

-1

result:

ok single line: '-1'