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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#308106#6566. Power of DivisorsMizara#AC ✓0ms3700kbC++141.4kb2024-01-19 15:50:452024-01-19 15:50:46

Judging History

你现在查看的是最新测评结果

  • [2024-01-19 15:50:46]
  • 评测
  • 测评结果:AC
  • 用时:0ms
  • 内存:3700kb
  • [2024-01-19 15:50:45]
  • 提交

answer

#include <iostream>
#include <algorithm>
#include <vector>
#include <string>
#include <map>
#include <queue>
#include <set>
const int OO = 0;
const int md = 998244353;
typedef long long ll;
typedef unsigned long long ull;
using namespace std;

ll gcd(ll x, ll y) {
	x = max(x, y);
	y = min(x, y);
	ll z;
	while (y > 0) {
		z = x;
		x = y;
		y = z % y;
	}
	return x;
}

const ll INF = 2e18;

ll pw(ll b, ll e) {
	ll res = 1;
	while (e--) {
		if (res > INF / b) return INF;
		res *= b;
	}
	return res;
}

ll root(ll x, int k) {
	ll lo = 1, hi = x, mid;
	while (lo < hi) {
		mid = (lo + hi) / 2;
		ll p = pw(mid, k);
		if (p == x) return mid;
		if (p < x) lo = mid + 1;
		else hi = mid;
	}
	if (pw(lo, k) == x) return lo;
	return INF;
}

int num_factors(ll x) {
	int ans = 0;
	for (int i = 1; i * i <= x; i++) {
		if (x % i == 0)
			if (i * i == x)
				ans++;
			else
				ans += 2;
	}
	return ans;
}

void solve() {
	ll x;
	cin >> x;
	if (x == 1) {
		cout << 1 << endl;
		return;
	}
	if (x == 2) {
		cout << -1 << endl;
		return;
	}
	for (int k = 70; k >= 2; k--) {
		ll p = root(x, k);
		if (p == INF) continue;
		if (num_factors(p) == k) {
			cout << p << endl;
			return;
		}
	}
	cout << -1 << endl;
}

int main() {
	ios::sync_with_stdio(0);
	cin.tie(0);
	int tests = 1;
	//cin >> tests;
	while (tests--) solve();
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3632kb

input:

15625

output:

25

result:

ok single line: '25'

Test #2:

score: 0
Accepted
time: 0ms
memory: 3632kb

input:

64000000

output:

20

result:

ok single line: '20'

Test #3:

score: 0
Accepted
time: 0ms
memory: 3624kb

input:

65536

output:

-1

result:

ok single line: '-1'

Test #4:

score: 0
Accepted
time: 0ms
memory: 3540kb

input:

1

output:

1

result:

ok single line: '1'

Test #5:

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

input:

10

output:

-1

result:

ok single line: '-1'

Test #6:

score: 0
Accepted
time: 0ms
memory: 3696kb

input:

100

output:

-1

result:

ok single line: '-1'

Test #7:

score: 0
Accepted
time: 0ms
memory: 3632kb

input:

10000

output:

10

result:

ok single line: '10'

Test #8:

score: 0
Accepted
time: 0ms
memory: 3548kb

input:

1000000000000000000

output:

100

result:

ok single line: '100'

Test #9:

score: 0
Accepted
time: 0ms
memory: 3608kb

input:

10372926089038969

output:

218089

result:

ok single line: '218089'

Test #10:

score: 0
Accepted
time: 0ms
memory: 3620kb

input:

10642944803293201

output:

10157

result:

ok single line: '10157'

Test #11:

score: 0
Accepted
time: 0ms
memory: 3572kb

input:

10646534823110209

output:

103182047

result:

ok single line: '103182047'

Test #12:

score: 0
Accepted
time: 0ms
memory: 3636kb

input:

1073741824

output:

32

result:

ok single line: '32'

Test #13:

score: 0
Accepted
time: 0ms
memory: 3608kb

input:

121

output:

11

result:

ok single line: '11'

Test #14:

score: 0
Accepted
time: 0ms
memory: 3512kb

input:

1296

output:

6

result:

ok single line: '6'

Test #15:

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

input:

16

output:

-1

result:

ok single line: '-1'

Test #16:

score: 0
Accepted
time: 0ms
memory: 3700kb

input:

16277421889

output:

127583

result:

ok single line: '127583'

Test #17:

score: 0
Accepted
time: 0ms
memory: 3624kb

input:

169

output:

13

result:

ok single line: '13'

Test #18:

score: 0
Accepted
time: 0ms
memory: 3628kb

input:

1985984

output:

-1

result:

ok single line: '-1'

Test #19:

score: 0
Accepted
time: 0ms
memory: 3624kb

input:

2

output:

-1

result:

ok single line: '-1'

Test #20:

score: 0
Accepted
time: 0ms
memory: 3636kb

input:

205891132094649

output:

243

result:

ok single line: '243'

Test #21:

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

input:

25

output:

5

result:

ok single line: '5'

Test #22:

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

input:

2626114239841

output:

1273

result:

ok single line: '1273'

Test #23:

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

input:

26269395104446321

output:

12731

result:

ok single line: '12731'

Test #24:

score: 0
Accepted
time: 0ms
memory: 3548kb

input:

3

output:

-1

result:

ok single line: '-1'

Test #25:

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

input:

3596345248055296

output:

88

result:

ok single line: '88'

Test #26:

score: 0
Accepted
time: 0ms
memory: 3540kb

input:

36

output:

-1

result:

ok single line: '-1'

Test #27:

score: 0
Accepted
time: 0ms
memory: 3512kb

input:

4

output:

2

result:

ok single line: '2'

Test #28:

score: 0
Accepted
time: 0ms
memory: 3640kb

input:

4096

output:

8

result:

ok single line: '8'

Test #29:

score: 0
Accepted
time: 0ms
memory: 3548kb

input:

49

output:

7

result:

ok single line: '7'

Test #30:

score: 0
Accepted
time: 0ms
memory: 3572kb

input:

5

output:

-1

result:

ok single line: '-1'

Test #31:

score: 0
Accepted
time: 0ms
memory: 3620kb

input:

576460752303423488

output:

-1

result:

ok single line: '-1'

Test #32:

score: 0
Accepted
time: 0ms
memory: 3616kb

input:

581431415926321

output:

24112889

result:

ok single line: '24112889'

Test #33:

score: 0
Accepted
time: 0ms
memory: 3608kb

input:

6

output:

-1

result:

ok single line: '-1'

Test #34:

score: 0
Accepted
time: 0ms
memory: 3548kb

input:

64

output:

4

result:

ok single line: '4'

Test #35:

score: 0
Accepted
time: 0ms
memory: 3700kb

input:

656100000000

output:

30

result:

ok single line: '30'

Test #36:

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

input:

7

output:

-1

result:

ok single line: '-1'

Test #37:

score: 0
Accepted
time: 0ms
memory: 3656kb

input:

729

output:

9

result:

ok single line: '9'

Test #38:

score: 0
Accepted
time: 0ms
memory: 3628kb

input:

8

output:

-1

result:

ok single line: '-1'

Test #39:

score: 0
Accepted
time: 0ms
memory: 3612kb

input:

81

output:

-1

result:

ok single line: '-1'

Test #40:

score: 0
Accepted
time: 0ms
memory: 3636kb

input:

8527674378686464

output:

452

result:

ok single line: '452'

Test #41:

score: 0
Accepted
time: 0ms
memory: 3632kb

input:

9

output:

3

result:

ok single line: '3'

Test #42:

score: 0
Accepted
time: 0ms
memory: 3628kb

input:

982134461213542729

output:

994009

result:

ok single line: '994009'

Test #43:

score: 0
Accepted
time: 0ms
memory: 3548kb

input:

9992002399680016

output:

9998

result:

ok single line: '9998'

Test #44:

score: 0
Accepted
time: 0ms
memory: 3612kb

input:

999269311525198921

output:

-1

result:

ok single line: '-1'

Test #45:

score: 0
Accepted
time: 0ms
memory: 3636kb

input:

999949000866995087

output:

-1

result:

ok single line: '-1'

Test #46:

score: 0
Accepted
time: 0ms
memory: 3572kb

input:

999995482005103081

output:

-1

result:

ok single line: '-1'

Test #47:

score: 0
Accepted
time: 0ms
memory: 3548kb

input:

999999969999997921

output:

-1

result:

ok single line: '-1'

Test #48:

score: 0
Accepted
time: 0ms
memory: 3612kb

input:

999999999999999989

output:

-1

result:

ok single line: '-1'

Test #49:

score: 0
Accepted
time: 0ms
memory: 3616kb

input:

999999999999999999

output:

-1

result:

ok single line: '-1'