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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
#278627#6566. Power of Divisorsucup-team191#AC ✓25ms7992kbC++141.2kb2023-12-07 18:42:452023-12-07 18:42:46

Judging History

你现在查看的是最新测评结果

  • [2023-12-07 18:42:46]
  • 评测
  • 测评结果:AC
  • 用时:25ms
  • 内存:7992kb
  • [2023-12-07 18:42:45]
  • 提交

answer

#include<bits/stdc++.h>

using namespace std;

typedef long long llint;

const int MAXN = 1000005; 

llint n;
int d[MAXN];

void precompute () {
	for (int i = 1; i < MAXN; i++) {
		for (int j = i; j < MAXN; j += i) {
			d[j]++;
		}
	}
}

bool prost (llint val) {
	if (val == 1) return 0;
	if (val == 2 || val == 3) return 1;
	for (int i = 2; i < min((llint)MAXN, val); i++) {
		if (val % i == 0) return 0;
	}
	return 1;
}

llint pot (llint val, int k, llint lim) {
	llint res = 1;
	for (int i = 1; i <= k; i++) {
		if (lim/res<val) return lim + 1;
		else res *= val;
	}
	return res;
}

llint get_kth_root (llint val, int k) {
	llint res = max(pow(val, 1.0 / k) - 10, 1.0);
	while (pot(res, k, val) < val) res++;
	return res;
}

int main () {
	precompute();
	cin >> n;
	if (n == 1) {
		cout << 1 << endl;
		return 0;
	}
	vector <llint> sol;
	for (int k = 2; k <= 60; k++) {
		llint root = get_kth_root(n, k);
		if (pot(root, k, n) != n) continue;
		if (k == 2) {
			if (prost(root)) sol.push_back(root);
		} else {
			if (k == d[root]) sol.push_back(root);
		}
	}
	sort(sol.begin(), sol.end());
	if (sol.empty()) {
		cout << "-1\n";
	} else {
		cout << sol[0] << '\n';
	}
	return 0;
}

詳細信息

Test #1:

score: 100
Accepted
time: 19ms
memory: 7788kb

input:

15625

output:

25

result:

ok single line: '25'

Test #2:

score: 0
Accepted
time: 19ms
memory: 7848kb

input:

64000000

output:

20

result:

ok single line: '20'

Test #3:

score: 0
Accepted
time: 19ms
memory: 7924kb

input:

65536

output:

-1

result:

ok single line: '-1'

Test #4:

score: 0
Accepted
time: 23ms
memory: 7692kb

input:

1

output:

1

result:

ok single line: '1'

Test #5:

score: 0
Accepted
time: 19ms
memory: 7768kb

input:

10

output:

-1

result:

ok single line: '-1'

Test #6:

score: 0
Accepted
time: 19ms
memory: 7600kb

input:

100

output:

-1

result:

ok single line: '-1'

Test #7:

score: 0
Accepted
time: 22ms
memory: 7696kb

input:

10000

output:

10

result:

ok single line: '10'

Test #8:

score: 0
Accepted
time: 19ms
memory: 7840kb

input:

1000000000000000000

output:

100

result:

ok single line: '100'

Test #9:

score: 0
Accepted
time: 22ms
memory: 7660kb

input:

10372926089038969

output:

218089

result:

ok single line: '218089'

Test #10:

score: 0
Accepted
time: 23ms
memory: 7788kb

input:

10642944803293201

output:

10157

result:

ok single line: '10157'

Test #11:

score: 0
Accepted
time: 25ms
memory: 7840kb

input:

10646534823110209

output:

103182047

result:

ok single line: '103182047'

Test #12:

score: 0
Accepted
time: 22ms
memory: 7768kb

input:

1073741824

output:

32

result:

ok single line: '32'

Test #13:

score: 0
Accepted
time: 19ms
memory: 7920kb

input:

121

output:

11

result:

ok single line: '11'

Test #14:

score: 0
Accepted
time: 22ms
memory: 7788kb

input:

1296

output:

6

result:

ok single line: '6'

Test #15:

score: 0
Accepted
time: 20ms
memory: 7844kb

input:

16

output:

-1

result:

ok single line: '-1'

Test #16:

score: 0
Accepted
time: 19ms
memory: 7720kb

input:

16277421889

output:

127583

result:

ok single line: '127583'

Test #17:

score: 0
Accepted
time: 23ms
memory: 7924kb

input:

169

output:

13

result:

ok single line: '13'

Test #18:

score: 0
Accepted
time: 22ms
memory: 7696kb

input:

1985984

output:

-1

result:

ok single line: '-1'

Test #19:

score: 0
Accepted
time: 19ms
memory: 7756kb

input:

2

output:

-1

result:

ok single line: '-1'

Test #20:

score: 0
Accepted
time: 19ms
memory: 7792kb

input:

205891132094649

output:

243

result:

ok single line: '243'

Test #21:

score: 0
Accepted
time: 19ms
memory: 7924kb

input:

25

output:

5

result:

ok single line: '5'

Test #22:

score: 0
Accepted
time: 19ms
memory: 7728kb

input:

2626114239841

output:

1273

result:

ok single line: '1273'

Test #23:

score: 0
Accepted
time: 19ms
memory: 7912kb

input:

26269395104446321

output:

12731

result:

ok single line: '12731'

Test #24:

score: 0
Accepted
time: 19ms
memory: 7720kb

input:

3

output:

-1

result:

ok single line: '-1'

Test #25:

score: 0
Accepted
time: 18ms
memory: 7788kb

input:

3596345248055296

output:

88

result:

ok single line: '88'

Test #26:

score: 0
Accepted
time: 22ms
memory: 7692kb

input:

36

output:

-1

result:

ok single line: '-1'

Test #27:

score: 0
Accepted
time: 19ms
memory: 7832kb

input:

4

output:

2

result:

ok single line: '2'

Test #28:

score: 0
Accepted
time: 19ms
memory: 7848kb

input:

4096

output:

8

result:

ok single line: '8'

Test #29:

score: 0
Accepted
time: 19ms
memory: 7828kb

input:

49

output:

7

result:

ok single line: '7'

Test #30:

score: 0
Accepted
time: 23ms
memory: 7868kb

input:

5

output:

-1

result:

ok single line: '-1'

Test #31:

score: 0
Accepted
time: 19ms
memory: 7924kb

input:

576460752303423488

output:

-1

result:

ok single line: '-1'

Test #32:

score: 0
Accepted
time: 25ms
memory: 7668kb

input:

581431415926321

output:

24112889

result:

ok single line: '24112889'

Test #33:

score: 0
Accepted
time: 22ms
memory: 7920kb

input:

6

output:

-1

result:

ok single line: '-1'

Test #34:

score: 0
Accepted
time: 22ms
memory: 7756kb

input:

64

output:

4

result:

ok single line: '4'

Test #35:

score: 0
Accepted
time: 19ms
memory: 7792kb

input:

656100000000

output:

30

result:

ok single line: '30'

Test #36:

score: 0
Accepted
time: 23ms
memory: 7992kb

input:

7

output:

-1

result:

ok single line: '-1'

Test #37:

score: 0
Accepted
time: 19ms
memory: 7772kb

input:

729

output:

9

result:

ok single line: '9'

Test #38:

score: 0
Accepted
time: 22ms
memory: 7916kb

input:

8

output:

-1

result:

ok single line: '-1'

Test #39:

score: 0
Accepted
time: 22ms
memory: 7988kb

input:

81

output:

-1

result:

ok single line: '-1'

Test #40:

score: 0
Accepted
time: 19ms
memory: 7824kb

input:

8527674378686464

output:

452

result:

ok single line: '452'

Test #41:

score: 0
Accepted
time: 19ms
memory: 7664kb

input:

9

output:

3

result:

ok single line: '3'

Test #42:

score: 0
Accepted
time: 19ms
memory: 7660kb

input:

982134461213542729

output:

994009

result:

ok single line: '994009'

Test #43:

score: 0
Accepted
time: 23ms
memory: 7784kb

input:

9992002399680016

output:

9998

result:

ok single line: '9998'

Test #44:

score: 0
Accepted
time: 19ms
memory: 7788kb

input:

999269311525198921

output:

-1

result:

ok single line: '-1'

Test #45:

score: 0
Accepted
time: 23ms
memory: 7696kb

input:

999949000866995087

output:

-1

result:

ok single line: '-1'

Test #46:

score: 0
Accepted
time: 22ms
memory: 7788kb

input:

999995482005103081

output:

-1

result:

ok single line: '-1'

Test #47:

score: 0
Accepted
time: 19ms
memory: 7628kb

input:

999999969999997921

output:

-1

result:

ok single line: '-1'

Test #48:

score: 0
Accepted
time: 18ms
memory: 7824kb

input:

999999999999999989

output:

-1

result:

ok single line: '-1'

Test #49:

score: 0
Accepted
time: 19ms
memory: 7656kb

input:

999999999999999999

output:

-1

result:

ok single line: '-1'