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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#182792#6566. Power of DivisorsmeomeoAC ✓1ms3852kbC++142.4kb2023-09-18 15:47:242023-09-18 15:47:24

Judging History

你现在查看的是最新测评结果

  • [2023-09-18 15:47:24]
  • 评测
  • 测评结果:AC
  • 用时:1ms
  • 内存:3852kb
  • [2023-09-18 15:47:24]
  • 提交

answer

#include<bits/stdc++.h>
#define int long long

using namespace std;

#define rep(i, from, to) for (int i = from; i < (to); ++i)
#define all(x) x.begin(), x.end()
#define sz(x) (int)(x).size()
typedef long long ll;
typedef pair<int, int> pii;
typedef vector<int> vi;

typedef unsigned long long ull;
ull modmul(ull a, ull b, ull M) {
	ll ret = a * b - M * ull(1.L / M * a * b);
	return ret + M * (ret < 0) - M * (ret >= (ll)M);
}
ull modpow(ull b, ull e, ull mod) {
	ull ans = 1;
	for (; e; b = modmul(b, b, mod), e /= 2)
		if (e & 1) ans = modmul(ans, b, mod);
	return ans;
}

bool isPrime(ull n) {
	if (n < 2 || n % 6 % 4 != 1) return (n | 1) == 3;
	ull A[] = {2, 325, 9375, 28178, 450775, 9780504, 1795265022},
		s = __builtin_ctzll(n-1), d = n >> s;
	for (ull a : A) {   // ^ count trailing zeroes
		ull p = modpow(a%n, d, n), i = s;
		while (p != 1 && p != n - 1 && a % n && i--)
			p = modmul(p, p, n);
		if (p != n-1 && i != s) return 0;
	}
	return 1;
}


ull pollard(ull n) {
	auto f = [n](ull x) { return modmul(x, x, n) + 1; };
	ull x = 0, y = 0, t = 30, prd = 2, i = 1, q;
	while (t++ % 40 || __gcd(prd, n) == 1) {
		if (x == y) x = ++i, y = f(x);
		if ((q = modmul(prd, max(x,y) - min(x,y), n))) prd = q;
		x = f(x), y = f(f(y));
	}
	return __gcd(prd, n);
}

vector<ull> factor(ull n) {
	if (n == 1) return {};
	if (isPrime(n)) return {n};
	ull x = pollard(n);
	auto l = factor(x), r = factor(n / x);
	l.insert(l.end(), all(r));
	return l;
}

signed main(){
	ios::sync_with_stdio(0); cin.tie(0);
	// freopen("input.txt","r",stdin);
	// freopen("output.txt","w",stdout);

	int x;

	cin >> x;

	if (x == 1) {
		cout << 1;
		return 0;
	}

	vector<ull> fact = factor(x);

	sort(fact.begin(), fact.end());

	vector<int> a, b;

	int cnt = 1;

	for (int i = 1 ; i < fact.size() ; i++) {
		if (fact[i] != fact[i-1]) {
			a.push_back(cnt);
			b.push_back(fact[i-1]);
			cnt = 0;
		}
		cnt += 1;
	}

	a.push_back(cnt);
	b.push_back(fact.back());

	int gcd = 0;

	for (int &u: a) {
		gcd = __gcd(u, gcd);
	}

	int res = -1;

	for (int i = 1 ; i <= gcd ; i++) {
		if (gcd % i == 0) {
			int cnt = 1;

			for (int &u: a) {
				cnt *= (u / i + 1);
			}

			if (i == cnt) {
				for (int j = 0 ; j < a.size() ; j++) {
					for (int k = 0 ; k < a[j] / i ; k++) {
						res *= b[j];
					}
				}
				break;
			}
		}
	}
	if (res != -1) res *= -1;
	cout << res;

	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3816kb

input:

15625

output:

25

result:

ok single line: '25'

Test #2:

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

input:

64000000

output:

20

result:

ok single line: '20'

Test #3:

score: 0
Accepted
time: 0ms
memory: 3844kb

input:

65536

output:

-1

result:

ok single line: '-1'

Test #4:

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

input:

1

output:

1

result:

ok single line: '1'

Test #5:

score: 0
Accepted
time: 0ms
memory: 3780kb

input:

10

output:

-1

result:

ok single line: '-1'

Test #6:

score: 0
Accepted
time: 0ms
memory: 3584kb

input:

100

output:

-1

result:

ok single line: '-1'

Test #7:

score: 0
Accepted
time: 0ms
memory: 3584kb

input:

10000

output:

10

result:

ok single line: '10'

Test #8:

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

input:

1000000000000000000

output:

100

result:

ok single line: '100'

Test #9:

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

input:

10372926089038969

output:

218089

result:

ok single line: '218089'

Test #10:

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

input:

10642944803293201

output:

10157

result:

ok single line: '10157'

Test #11:

score: 0
Accepted
time: 1ms
memory: 3612kb

input:

10646534823110209

output:

103182047

result:

ok single line: '103182047'

Test #12:

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

input:

1073741824

output:

32

result:

ok single line: '32'

Test #13:

score: 0
Accepted
time: 0ms
memory: 3840kb

input:

121

output:

11

result:

ok single line: '11'

Test #14:

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

input:

1296

output:

6

result:

ok single line: '6'

Test #15:

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

input:

16

output:

-1

result:

ok single line: '-1'

Test #16:

score: 0
Accepted
time: 0ms
memory: 3836kb

input:

16277421889

output:

127583

result:

ok single line: '127583'

Test #17:

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

input:

169

output:

13

result:

ok single line: '13'

Test #18:

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

input:

1985984

output:

-1

result:

ok single line: '-1'

Test #19:

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

input:

2

output:

-1

result:

ok single line: '-1'

Test #20:

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

input:

205891132094649

output:

243

result:

ok single line: '243'

Test #21:

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

input:

25

output:

5

result:

ok single line: '5'

Test #22:

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

input:

2626114239841

output:

1273

result:

ok single line: '1273'

Test #23:

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

input:

26269395104446321

output:

12731

result:

ok single line: '12731'

Test #24:

score: 0
Accepted
time: 0ms
memory: 3648kb

input:

3

output:

-1

result:

ok single line: '-1'

Test #25:

score: 0
Accepted
time: 0ms
memory: 3776kb

input:

3596345248055296

output:

88

result:

ok single line: '88'

Test #26:

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

input:

36

output:

-1

result:

ok single line: '-1'

Test #27:

score: 0
Accepted
time: 0ms
memory: 3500kb

input:

4

output:

2

result:

ok single line: '2'

Test #28:

score: 0
Accepted
time: 0ms
memory: 3780kb

input:

4096

output:

8

result:

ok single line: '8'

Test #29:

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

input:

49

output:

7

result:

ok single line: '7'

Test #30:

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

input:

5

output:

-1

result:

ok single line: '-1'

Test #31:

score: 0
Accepted
time: 0ms
memory: 3560kb

input:

576460752303423488

output:

-1

result:

ok single line: '-1'

Test #32:

score: 0
Accepted
time: 0ms
memory: 3772kb

input:

581431415926321

output:

24112889

result:

ok single line: '24112889'

Test #33:

score: 0
Accepted
time: 0ms
memory: 3776kb

input:

6

output:

-1

result:

ok single line: '-1'

Test #34:

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

input:

64

output:

4

result:

ok single line: '4'

Test #35:

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

input:

656100000000

output:

30

result:

ok single line: '30'

Test #36:

score: 0
Accepted
time: 0ms
memory: 3840kb

input:

7

output:

-1

result:

ok single line: '-1'

Test #37:

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

input:

729

output:

9

result:

ok single line: '9'

Test #38:

score: 0
Accepted
time: 0ms
memory: 3844kb

input:

8

output:

-1

result:

ok single line: '-1'

Test #39:

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

input:

81

output:

-1

result:

ok single line: '-1'

Test #40:

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

input:

8527674378686464

output:

452

result:

ok single line: '452'

Test #41:

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

input:

9

output:

3

result:

ok single line: '3'

Test #42:

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

input:

982134461213542729

output:

994009

result:

ok single line: '994009'

Test #43:

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

input:

9992002399680016

output:

9998

result:

ok single line: '9998'

Test #44:

score: 0
Accepted
time: 0ms
memory: 3604kb

input:

999269311525198921

output:

-1

result:

ok single line: '-1'

Test #45:

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

input:

999949000866995087

output:

-1

result:

ok single line: '-1'

Test #46:

score: 0
Accepted
time: 0ms
memory: 3776kb

input:

999995482005103081

output:

-1

result:

ok single line: '-1'

Test #47:

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

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: 3612kb

input:

999999999999999999

output:

-1

result:

ok single line: '-1'