QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#278627 | #6566. Power of Divisors | ucup-team191# | AC ✓ | 25ms | 7992kb | C++14 | 1.2kb | 2023-12-07 18:42:45 | 2023-12-07 18:42:46 |
Judging History
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;
}
Details
Tip: Click on the bar to expand more detailed information
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'