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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
#110945#6566. Power of DivisorsUSP_USP_USP#AC ✓3ms3520kbC++202.0kb2023-06-04 23:12:152023-06-04 23:12:17

Judging History

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.
  • [2023-06-04 23:12:17]
  • 评测
  • 测评结果:AC
  • 用时:3ms
  • 内存:3520kb
  • [2023-06-04 23:12:15]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;

using ll = long long;
#define int ll
#define all(v) (v).begin(), (v).end()
#define pb push_back

void dbg_out() { cerr << endl; }
template<typename H, typename... T> 
void dbg_out(H h, T... t) { cerr << ' ' << h; dbg_out(t...); }
#define dbg(...) { cerr << #__VA_ARGS__ << ':'; dbg_out(__VA_ARGS__); }

ll mul(ll a, ll b, ll m){
	ll ret = a*b-ll((long double)1/m*a*b+0.5)*m;
	return ret < 0 ? ret+m : ret;
}
ll pow(ll x, ll y, ll m){
	if(!y) return 1;
	ll ans = pow(mul(x,x,m), y/2,m);
	return y%2 ? mul(x,ans,m) : ans;
}

bool prime(ll n){
	if(n < 2) return 0;
	if(n <= 3) return 1;
	if(n%2 == 0) return 0;

	ll r = __builtin_ctzll(n-1), d = n>>r;
	for(int a : {2,325,937,28178,450775,9780504,795265022}){
		ll x = pow(a,d,n);
		if(x == 1 or x == n-1 or a%n == 0) continue;
		for(int j = 0; j < r-1; j++){
			x = mul(x,x,n);
			if(x == n-1) break;
		}
		if(x != n-1) return 0;
	}
	return 1;
}

ll rho(ll n){
	if(n == 1 or prime(n)) return n;
	auto f = [n](ll x){ return mul(x,x,n)+1;};
	ll x=0, y=0, t=30, prd=2,x0=1,q;
	while(t%40 != 0 or gcd(prd,n) == 1){
		if(x==y) x = ++x0, y=f(x);
		q = mul(prd,abs(x-y),n);
		if(q != 0) prd = q;
		x = f(x), y = f(f(y)), t++;
	}
	return gcd(prd,n);
}

vector<ll> fact(ll n){
	if(n == 1) return {};
	if(prime(n)) return {n};
	ll d = rho(n);
	vector<ll> l = fact(d), r = fact(n/d);
	l.insert(l.end(), r.begin(), r.end());
	return l;
}

void solve() {
	ll x;
	cin >> x;
	auto f = fact(x);
	map<ll,int> cnt;
	for(auto y : f){
		cnt[y]++;
	}
	for(int i = 70; i >= 1; i--){
		bool serve = true;
		for(auto [a,b] : cnt){
			serve &= b%i == 0;
		}
		if(!serve) continue;
		ll div = 1;
		ll eu = 1;
		for(auto [a,b] : cnt){
			ll d = b/i;
			div *= d+1;
			for(int k = 0; k < d; k++) eu *= a;
		}
		if(div == i){
			cout << eu << '\n';
			return;
		}
	}
	cout << -1 << '\n';
	
}


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

詳細信息

Test #1:

score: 100
Accepted
time: 2ms
memory: 3476kb

input:

15625

output:

25

result:

ok single line: '25'

Test #2:

score: 0
Accepted
time: 2ms
memory: 3456kb

input:

64000000

output:

20

result:

ok single line: '20'

Test #3:

score: 0
Accepted
time: 2ms
memory: 3428kb

input:

65536

output:

-1

result:

ok single line: '-1'

Test #4:

score: 0
Accepted
time: 0ms
memory: 3468kb

input:

1

output:

1

result:

ok single line: '1'

Test #5:

score: 0
Accepted
time: 2ms
memory: 3388kb

input:

10

output:

-1

result:

ok single line: '-1'

Test #6:

score: 0
Accepted
time: 2ms
memory: 3484kb

input:

100

output:

-1

result:

ok single line: '-1'

Test #7:

score: 0
Accepted
time: 2ms
memory: 3412kb

input:

10000

output:

10

result:

ok single line: '10'

Test #8:

score: 0
Accepted
time: 0ms
memory: 3472kb

input:

1000000000000000000

output:

100

result:

ok single line: '100'

Test #9:

score: 0
Accepted
time: 2ms
memory: 3428kb

input:

10372926089038969

output:

218089

result:

ok single line: '218089'

Test #10:

score: 0
Accepted
time: 2ms
memory: 3464kb

input:

10642944803293201

output:

10157

result:

ok single line: '10157'

Test #11:

score: 0
Accepted
time: 2ms
memory: 3392kb

input:

10646534823110209

output:

103182047

result:

ok single line: '103182047'

Test #12:

score: 0
Accepted
time: 2ms
memory: 3416kb

input:

1073741824

output:

32

result:

ok single line: '32'

Test #13:

score: 0
Accepted
time: 0ms
memory: 3476kb

input:

121

output:

11

result:

ok single line: '11'

Test #14:

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

input:

1296

output:

6

result:

ok single line: '6'

Test #15:

score: 0
Accepted
time: 2ms
memory: 3464kb

input:

16

output:

-1

result:

ok single line: '-1'

Test #16:

score: 0
Accepted
time: 0ms
memory: 3480kb

input:

16277421889

output:

127583

result:

ok single line: '127583'

Test #17:

score: 0
Accepted
time: 2ms
memory: 3416kb

input:

169

output:

13

result:

ok single line: '13'

Test #18:

score: 0
Accepted
time: 2ms
memory: 3408kb

input:

1985984

output:

-1

result:

ok single line: '-1'

Test #19:

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

input:

2

output:

-1

result:

ok single line: '-1'

Test #20:

score: 0
Accepted
time: 1ms
memory: 3480kb

input:

205891132094649

output:

243

result:

ok single line: '243'

Test #21:

score: 0
Accepted
time: 2ms
memory: 3392kb

input:

25

output:

5

result:

ok single line: '5'

Test #22:

score: 0
Accepted
time: 1ms
memory: 3484kb

input:

2626114239841

output:

1273

result:

ok single line: '1273'

Test #23:

score: 0
Accepted
time: 3ms
memory: 3420kb

input:

26269395104446321

output:

12731

result:

ok single line: '12731'

Test #24:

score: 0
Accepted
time: 2ms
memory: 3400kb

input:

3

output:

-1

result:

ok single line: '-1'

Test #25:

score: 0
Accepted
time: 2ms
memory: 3420kb

input:

3596345248055296

output:

88

result:

ok single line: '88'

Test #26:

score: 0
Accepted
time: 2ms
memory: 3460kb

input:

36

output:

-1

result:

ok single line: '-1'

Test #27:

score: 0
Accepted
time: 2ms
memory: 3476kb

input:

4

output:

2

result:

ok single line: '2'

Test #28:

score: 0
Accepted
time: 2ms
memory: 3412kb

input:

4096

output:

8

result:

ok single line: '8'

Test #29:

score: 0
Accepted
time: 2ms
memory: 3468kb

input:

49

output:

7

result:

ok single line: '7'

Test #30:

score: 0
Accepted
time: 2ms
memory: 3500kb

input:

5

output:

-1

result:

ok single line: '-1'

Test #31:

score: 0
Accepted
time: 0ms
memory: 3416kb

input:

576460752303423488

output:

-1

result:

ok single line: '-1'

Test #32:

score: 0
Accepted
time: 2ms
memory: 3424kb

input:

581431415926321

output:

24112889

result:

ok single line: '24112889'

Test #33:

score: 0
Accepted
time: 2ms
memory: 3388kb

input:

6

output:

-1

result:

ok single line: '-1'

Test #34:

score: 0
Accepted
time: 1ms
memory: 3412kb

input:

64

output:

4

result:

ok single line: '4'

Test #35:

score: 0
Accepted
time: 2ms
memory: 3476kb

input:

656100000000

output:

30

result:

ok single line: '30'

Test #36:

score: 0
Accepted
time: 2ms
memory: 3408kb

input:

7

output:

-1

result:

ok single line: '-1'

Test #37:

score: 0
Accepted
time: 0ms
memory: 3416kb

input:

729

output:

9

result:

ok single line: '9'

Test #38:

score: 0
Accepted
time: 1ms
memory: 3408kb

input:

8

output:

-1

result:

ok single line: '-1'

Test #39:

score: 0
Accepted
time: 2ms
memory: 3408kb

input:

81

output:

-1

result:

ok single line: '-1'

Test #40:

score: 0
Accepted
time: 2ms
memory: 3404kb

input:

8527674378686464

output:

452

result:

ok single line: '452'

Test #41:

score: 0
Accepted
time: 2ms
memory: 3396kb

input:

9

output:

3

result:

ok single line: '3'

Test #42:

score: 0
Accepted
time: 0ms
memory: 3424kb

input:

982134461213542729

output:

994009

result:

ok single line: '994009'

Test #43:

score: 0
Accepted
time: 2ms
memory: 3400kb

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: 2ms
memory: 3408kb

input:

999949000866995087

output:

-1

result:

ok single line: '-1'

Test #46:

score: 0
Accepted
time: 2ms
memory: 3464kb

input:

999995482005103081

output:

-1

result:

ok single line: '-1'

Test #47:

score: 0
Accepted
time: 2ms
memory: 3408kb

input:

999999969999997921

output:

-1

result:

ok single line: '-1'

Test #48:

score: 0
Accepted
time: 2ms
memory: 3496kb

input:

999999999999999989

output:

-1

result:

ok single line: '-1'

Test #49:

score: 0
Accepted
time: 2ms
memory: 3404kb

input:

999999999999999999

output:

-1

result:

ok single line: '-1'