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QOJ
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 |
---|---|---|---|---|---|---|---|---|---|
#140307 | #6566. Power of Divisors | smosp# | AC ✓ | 1ms | 3856kb | C++17 | 1.6kb | 2023-08-15 17:17:24 | 2023-08-15 17:17:26 |
Judging History
answer
#include "bits/stdc++.h"
using namespace std;
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
const int64_t MX = 1e18+1e9;
auto raise_to_pow = [&](int64_t x, int y)->int64_t {
int64_t res = 1;
bool overflowed = false;
while(y--) {
if (res > MX/x) {
overflowed = true;
break;
}
res *= x;
}
return overflowed?MX:res;
};
auto kth_root = [&](int64_t N, int k) {
int64_t root = pow(N, 1.0/k);
while(true) {
int64_t pw = raise_to_pow(root, k);
if (pw > N) break;
root++;
}
while(true) {
int64_t pw = raise_to_pow(root, k);
if (pw <= N) break;
root--;
}
return raise_to_pow(root, k) == N?root:-1;
};
auto factorize = [&](int64_t N) {
vector<pair<int64_t, int>> res;
for (int64_t i = 2; i * i <= N; i++) {
if (N % i == 0) {
int c = 0;
while (N % i == 0) {
N /= i;
c++;
}
res.push_back({i, c});
}
}
if (N != 1) res.push_back({N, 1});
return res;
};
int64_t N;
cin >> N;
if (N == 1) {
cout << 1 << '\n';
return 0;
}
int64_t ans = MX;
for (int k = 2; k <= 65; k++) {
int64_t root = kth_root(N, k);
if (root == -1) continue;
auto pf = factorize(root);
int64_t divc = 1;
for (auto& [p, e] : pf) {
divc *= (1+e);
}
if (divc == k) {
ans = min(ans, root);
}
}
if (ans == MX) {
cout << -1 << '\n';
} else {
cout << ans << '\n';
}
}
详细
Test #1:
score: 100
Accepted
time: 1ms
memory: 3728kb
input:
15625
output:
25
result:
ok single line: '25'
Test #2:
score: 0
Accepted
time: 1ms
memory: 3736kb
input:
64000000
output:
20
result:
ok single line: '20'
Test #3:
score: 0
Accepted
time: 1ms
memory: 3856kb
input:
65536
output:
-1
result:
ok single line: '-1'
Test #4:
score: 0
Accepted
time: 1ms
memory: 3560kb
input:
1
output:
1
result:
ok single line: '1'
Test #5:
score: 0
Accepted
time: 1ms
memory: 3740kb
input:
10
output:
-1
result:
ok single line: '-1'
Test #6:
score: 0
Accepted
time: 1ms
memory: 3564kb
input:
100
output:
-1
result:
ok single line: '-1'
Test #7:
score: 0
Accepted
time: 0ms
memory: 3788kb
input:
10000
output:
10
result:
ok single line: '10'
Test #8:
score: 0
Accepted
time: 1ms
memory: 3792kb
input:
1000000000000000000
output:
100
result:
ok single line: '100'
Test #9:
score: 0
Accepted
time: 1ms
memory: 3848kb
input:
10372926089038969
output:
218089
result:
ok single line: '218089'
Test #10:
score: 0
Accepted
time: 1ms
memory: 3844kb
input:
10642944803293201
output:
10157
result:
ok single line: '10157'
Test #11:
score: 0
Accepted
time: 1ms
memory: 3504kb
input:
10646534823110209
output:
103182047
result:
ok single line: '103182047'
Test #12:
score: 0
Accepted
time: 1ms
memory: 3732kb
input:
1073741824
output:
32
result:
ok single line: '32'
Test #13:
score: 0
Accepted
time: 1ms
memory: 3820kb
input:
121
output:
11
result:
ok single line: '11'
Test #14:
score: 0
Accepted
time: 1ms
memory: 3732kb
input:
1296
output:
6
result:
ok single line: '6'
Test #15:
score: 0
Accepted
time: 1ms
memory: 3792kb
input:
16
output:
-1
result:
ok single line: '-1'
Test #16:
score: 0
Accepted
time: 0ms
memory: 3728kb
input:
16277421889
output:
127583
result:
ok single line: '127583'
Test #17:
score: 0
Accepted
time: 1ms
memory: 3564kb
input:
169
output:
13
result:
ok single line: '13'
Test #18:
score: 0
Accepted
time: 1ms
memory: 3840kb
input:
1985984
output:
-1
result:
ok single line: '-1'
Test #19:
score: 0
Accepted
time: 1ms
memory: 3680kb
input:
2
output:
-1
result:
ok single line: '-1'
Test #20:
score: 0
Accepted
time: 1ms
memory: 3724kb
input:
205891132094649
output:
243
result:
ok single line: '243'
Test #21:
score: 0
Accepted
time: 1ms
memory: 3804kb
input:
25
output:
5
result:
ok single line: '5'
Test #22:
score: 0
Accepted
time: 0ms
memory: 3720kb
input:
2626114239841
output:
1273
result:
ok single line: '1273'
Test #23:
score: 0
Accepted
time: 1ms
memory: 3744kb
input:
26269395104446321
output:
12731
result:
ok single line: '12731'
Test #24:
score: 0
Accepted
time: 1ms
memory: 3792kb
input:
3
output:
-1
result:
ok single line: '-1'
Test #25:
score: 0
Accepted
time: 0ms
memory: 3844kb
input:
3596345248055296
output:
88
result:
ok single line: '88'
Test #26:
score: 0
Accepted
time: 1ms
memory: 3564kb
input:
36
output:
-1
result:
ok single line: '-1'
Test #27:
score: 0
Accepted
time: 0ms
memory: 3804kb
input:
4
output:
2
result:
ok single line: '2'
Test #28:
score: 0
Accepted
time: 1ms
memory: 3736kb
input:
4096
output:
8
result:
ok single line: '8'
Test #29:
score: 0
Accepted
time: 1ms
memory: 3564kb
input:
49
output:
7
result:
ok single line: '7'
Test #30:
score: 0
Accepted
time: 1ms
memory: 3804kb
input:
5
output:
-1
result:
ok single line: '-1'
Test #31:
score: 0
Accepted
time: 0ms
memory: 3728kb
input:
576460752303423488
output:
-1
result:
ok single line: '-1'
Test #32:
score: 0
Accepted
time: 1ms
memory: 3644kb
input:
581431415926321
output:
24112889
result:
ok single line: '24112889'
Test #33:
score: 0
Accepted
time: 1ms
memory: 3724kb
input:
6
output:
-1
result:
ok single line: '-1'
Test #34:
score: 0
Accepted
time: 1ms
memory: 3736kb
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: 1ms
memory: 3644kb
input:
7
output:
-1
result:
ok single line: '-1'
Test #37:
score: 0
Accepted
time: 0ms
memory: 3816kb
input:
729
output:
9
result:
ok single line: '9'
Test #38:
score: 0
Accepted
time: 1ms
memory: 3736kb
input:
8
output:
-1
result:
ok single line: '-1'
Test #39:
score: 0
Accepted
time: 1ms
memory: 3808kb
input:
81
output:
-1
result:
ok single line: '-1'
Test #40:
score: 0
Accepted
time: 1ms
memory: 3568kb
input:
8527674378686464
output:
452
result:
ok single line: '452'
Test #41:
score: 0
Accepted
time: 1ms
memory: 3648kb
input:
9
output:
3
result:
ok single line: '3'
Test #42:
score: 0
Accepted
time: 0ms
memory: 3760kb
input:
982134461213542729
output:
994009
result:
ok single line: '994009'
Test #43:
score: 0
Accepted
time: 1ms
memory: 3856kb
input:
9992002399680016
output:
9998
result:
ok single line: '9998'
Test #44:
score: 0
Accepted
time: 1ms
memory: 3804kb
input:
999269311525198921
output:
-1
result:
ok single line: '-1'
Test #45:
score: 0
Accepted
time: 1ms
memory: 3564kb
input:
999949000866995087
output:
-1
result:
ok single line: '-1'
Test #46:
score: 0
Accepted
time: 0ms
memory: 3648kb
input:
999995482005103081
output:
-1
result:
ok single line: '-1'
Test #47:
score: 0
Accepted
time: 1ms
memory: 3648kb
input:
999999969999997921
output:
-1
result:
ok single line: '-1'
Test #48:
score: 0
Accepted
time: 1ms
memory: 3756kb
input:
999999999999999989
output:
-1
result:
ok single line: '-1'
Test #49:
score: 0
Accepted
time: 1ms
memory: 3844kb
input:
999999999999999999
output:
-1
result:
ok single line: '-1'