QOJ.ac
QOJ
| ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
|---|---|---|---|---|---|---|---|---|---|
| #175162 | #6566. Power of Divisors | SolitaryDream# | AC ✓ | 2ms | 4040kb | C++14 | 978b | 2023-09-10 16:34:29 | 2023-09-10 16:34:30 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define int long long
int f(int n) {
int ans = 0;
for (int i = 1; i * i <= n; ++i) if (n % i == 0) {
++ans;
if (i * i < n) ++ans;
}
return ans;
}
const int LIM = 2e18;
int SafeMul(int x, int y) {
__int128 ans = (__int128)x * y;
if (ans > LIM) ans = LIM;
return ans;
}
int SafePow(int x, int y) {
int ans = 1;
while (y--) ans = SafeMul(ans, x);
return ans;
}
signed main() {
int n;
scanf("%lld", &n);
for (int i = 1; i <= 100; ++i) if (SafePow(i, f(i)) == n) {
printf("%lld\n", i);
return 0;
}
int ans = 2e10;
for (int i = 2; i <= n; ++i) {
int possi = pow((long double)n, 1.0 / i);
if (possi < 90) break;
for (int j = possi - 3; j <= possi + 3; ++j) if (SafePow(j, f(j)) == n) ans = min(ans, j);
}
if (ans > 1e10) ans = -1;
printf("%lld\n", ans);
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 3912kb
input:
15625
output:
25
result:
ok single line: '25'
Test #2:
score: 0
Accepted
time: 1ms
memory: 3968kb
input:
64000000
output:
20
result:
ok single line: '20'
Test #3:
score: 0
Accepted
time: 1ms
memory: 3880kb
input:
65536
output:
-1
result:
ok single line: '-1'
Test #4:
score: 0
Accepted
time: 1ms
memory: 3960kb
input:
1
output:
1
result:
ok single line: '1'
Test #5:
score: 0
Accepted
time: 1ms
memory: 3988kb
input:
10
output:
-1
result:
ok single line: '-1'
Test #6:
score: 0
Accepted
time: 1ms
memory: 3896kb
input:
100
output:
-1
result:
ok single line: '-1'
Test #7:
score: 0
Accepted
time: 1ms
memory: 3836kb
input:
10000
output:
10
result:
ok single line: '10'
Test #8:
score: 0
Accepted
time: 1ms
memory: 3912kb
input:
1000000000000000000
output:
100
result:
ok single line: '100'
Test #9:
score: 0
Accepted
time: 1ms
memory: 3884kb
input:
10372926089038969
output:
218089
result:
ok single line: '218089'
Test #10:
score: 0
Accepted
time: 1ms
memory: 4040kb
input:
10642944803293201
output:
10157
result:
ok single line: '10157'
Test #11:
score: 0
Accepted
time: 1ms
memory: 3888kb
input:
10646534823110209
output:
103182047
result:
ok single line: '103182047'
Test #12:
score: 0
Accepted
time: 1ms
memory: 3960kb
input:
1073741824
output:
32
result:
ok single line: '32'
Test #13:
score: 0
Accepted
time: 1ms
memory: 3892kb
input:
121
output:
11
result:
ok single line: '11'
Test #14:
score: 0
Accepted
time: 1ms
memory: 3892kb
input:
1296
output:
6
result:
ok single line: '6'
Test #15:
score: 0
Accepted
time: 0ms
memory: 4024kb
input:
16
output:
-1
result:
ok single line: '-1'
Test #16:
score: 0
Accepted
time: 1ms
memory: 4028kb
input:
16277421889
output:
127583
result:
ok single line: '127583'
Test #17:
score: 0
Accepted
time: 1ms
memory: 3900kb
input:
169
output:
13
result:
ok single line: '13'
Test #18:
score: 0
Accepted
time: 1ms
memory: 3972kb
input:
1985984
output:
-1
result:
ok single line: '-1'
Test #19:
score: 0
Accepted
time: 1ms
memory: 4032kb
input:
2
output:
-1
result:
ok single line: '-1'
Test #20:
score: 0
Accepted
time: 1ms
memory: 3944kb
input:
205891132094649
output:
243
result:
ok single line: '243'
Test #21:
score: 0
Accepted
time: 1ms
memory: 3768kb
input:
25
output:
5
result:
ok single line: '5'
Test #22:
score: 0
Accepted
time: 0ms
memory: 3988kb
input:
2626114239841
output:
1273
result:
ok single line: '1273'
Test #23:
score: 0
Accepted
time: 1ms
memory: 4036kb
input:
26269395104446321
output:
12731
result:
ok single line: '12731'
Test #24:
score: 0
Accepted
time: 1ms
memory: 3832kb
input:
3
output:
-1
result:
ok single line: '-1'
Test #25:
score: 0
Accepted
time: 1ms
memory: 3860kb
input:
3596345248055296
output:
88
result:
ok single line: '88'
Test #26:
score: 0
Accepted
time: 1ms
memory: 4036kb
input:
36
output:
-1
result:
ok single line: '-1'
Test #27:
score: 0
Accepted
time: 1ms
memory: 3976kb
input:
4
output:
2
result:
ok single line: '2'
Test #28:
score: 0
Accepted
time: 1ms
memory: 3816kb
input:
4096
output:
8
result:
ok single line: '8'
Test #29:
score: 0
Accepted
time: 1ms
memory: 3956kb
input:
49
output:
7
result:
ok single line: '7'
Test #30:
score: 0
Accepted
time: 0ms
memory: 4012kb
input:
5
output:
-1
result:
ok single line: '-1'
Test #31:
score: 0
Accepted
time: 1ms
memory: 3900kb
input:
576460752303423488
output:
-1
result:
ok single line: '-1'
Test #32:
score: 0
Accepted
time: 1ms
memory: 3828kb
input:
581431415926321
output:
24112889
result:
ok single line: '24112889'
Test #33:
score: 0
Accepted
time: 1ms
memory: 3884kb
input:
6
output:
-1
result:
ok single line: '-1'
Test #34:
score: 0
Accepted
time: 1ms
memory: 3864kb
input:
64
output:
4
result:
ok single line: '4'
Test #35:
score: 0
Accepted
time: 1ms
memory: 3888kb
input:
656100000000
output:
30
result:
ok single line: '30'
Test #36:
score: 0
Accepted
time: 1ms
memory: 3872kb
input:
7
output:
-1
result:
ok single line: '-1'
Test #37:
score: 0
Accepted
time: 1ms
memory: 3864kb
input:
729
output:
9
result:
ok single line: '9'
Test #38:
score: 0
Accepted
time: 1ms
memory: 3928kb
input:
8
output:
-1
result:
ok single line: '-1'
Test #39:
score: 0
Accepted
time: 0ms
memory: 3964kb
input:
81
output:
-1
result:
ok single line: '-1'
Test #40:
score: 0
Accepted
time: 1ms
memory: 4028kb
input:
8527674378686464
output:
452
result:
ok single line: '452'
Test #41:
score: 0
Accepted
time: 1ms
memory: 3824kb
input:
9
output:
3
result:
ok single line: '3'
Test #42:
score: 0
Accepted
time: 2ms
memory: 3884kb
input:
982134461213542729
output:
994009
result:
ok single line: '994009'
Test #43:
score: 0
Accepted
time: 1ms
memory: 3956kb
input:
9992002399680016
output:
9998
result:
ok single line: '9998'
Test #44:
score: 0
Accepted
time: 2ms
memory: 3924kb
input:
999269311525198921
output:
-1
result:
ok single line: '-1'
Test #45:
score: 0
Accepted
time: 2ms
memory: 3888kb
input:
999949000866995087
output:
-1
result:
ok single line: '-1'
Test #46:
score: 0
Accepted
time: 2ms
memory: 4032kb
input:
999995482005103081
output:
-1
result:
ok single line: '-1'
Test #47:
score: 0
Accepted
time: 2ms
memory: 4036kb
input:
999999969999997921
output:
-1
result:
ok single line: '-1'
Test #48:
score: 0
Accepted
time: 2ms
memory: 3828kb
input:
999999999999999989
output:
-1
result:
ok single line: '-1'
Test #49:
score: 0
Accepted
time: 2ms
memory: 3976kb
input:
999999999999999999
output:
-1
result:
ok single line: '-1'