QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#308106 | #6566. Power of Divisors | Mizara# | AC ✓ | 0ms | 3700kb | C++14 | 1.4kb | 2024-01-19 15:50:45 | 2024-01-19 15:50:46 |
Judging History
answer
#include <iostream>
#include <algorithm>
#include <vector>
#include <string>
#include <map>
#include <queue>
#include <set>
const int OO = 0;
const int md = 998244353;
typedef long long ll;
typedef unsigned long long ull;
using namespace std;
ll gcd(ll x, ll y) {
x = max(x, y);
y = min(x, y);
ll z;
while (y > 0) {
z = x;
x = y;
y = z % y;
}
return x;
}
const ll INF = 2e18;
ll pw(ll b, ll e) {
ll res = 1;
while (e--) {
if (res > INF / b) return INF;
res *= b;
}
return res;
}
ll root(ll x, int k) {
ll lo = 1, hi = x, mid;
while (lo < hi) {
mid = (lo + hi) / 2;
ll p = pw(mid, k);
if (p == x) return mid;
if (p < x) lo = mid + 1;
else hi = mid;
}
if (pw(lo, k) == x) return lo;
return INF;
}
int num_factors(ll x) {
int ans = 0;
for (int i = 1; i * i <= x; i++) {
if (x % i == 0)
if (i * i == x)
ans++;
else
ans += 2;
}
return ans;
}
void solve() {
ll x;
cin >> x;
if (x == 1) {
cout << 1 << endl;
return;
}
if (x == 2) {
cout << -1 << endl;
return;
}
for (int k = 70; k >= 2; k--) {
ll p = root(x, k);
if (p == INF) continue;
if (num_factors(p) == k) {
cout << p << endl;
return;
}
}
cout << -1 << endl;
}
int main() {
ios::sync_with_stdio(0);
cin.tie(0);
int tests = 1;
//cin >> tests;
while (tests--) solve();
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3632kb
input:
15625
output:
25
result:
ok single line: '25'
Test #2:
score: 0
Accepted
time: 0ms
memory: 3632kb
input:
64000000
output:
20
result:
ok single line: '20'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3624kb
input:
65536
output:
-1
result:
ok single line: '-1'
Test #4:
score: 0
Accepted
time: 0ms
memory: 3540kb
input:
1
output:
1
result:
ok single line: '1'
Test #5:
score: 0
Accepted
time: 0ms
memory: 3556kb
input:
10
output:
-1
result:
ok single line: '-1'
Test #6:
score: 0
Accepted
time: 0ms
memory: 3696kb
input:
100
output:
-1
result:
ok single line: '-1'
Test #7:
score: 0
Accepted
time: 0ms
memory: 3632kb
input:
10000
output:
10
result:
ok single line: '10'
Test #8:
score: 0
Accepted
time: 0ms
memory: 3548kb
input:
1000000000000000000
output:
100
result:
ok single line: '100'
Test #9:
score: 0
Accepted
time: 0ms
memory: 3608kb
input:
10372926089038969
output:
218089
result:
ok single line: '218089'
Test #10:
score: 0
Accepted
time: 0ms
memory: 3620kb
input:
10642944803293201
output:
10157
result:
ok single line: '10157'
Test #11:
score: 0
Accepted
time: 0ms
memory: 3572kb
input:
10646534823110209
output:
103182047
result:
ok single line: '103182047'
Test #12:
score: 0
Accepted
time: 0ms
memory: 3636kb
input:
1073741824
output:
32
result:
ok single line: '32'
Test #13:
score: 0
Accepted
time: 0ms
memory: 3608kb
input:
121
output:
11
result:
ok single line: '11'
Test #14:
score: 0
Accepted
time: 0ms
memory: 3512kb
input:
1296
output:
6
result:
ok single line: '6'
Test #15:
score: 0
Accepted
time: 0ms
memory: 3556kb
input:
16
output:
-1
result:
ok single line: '-1'
Test #16:
score: 0
Accepted
time: 0ms
memory: 3700kb
input:
16277421889
output:
127583
result:
ok single line: '127583'
Test #17:
score: 0
Accepted
time: 0ms
memory: 3624kb
input:
169
output:
13
result:
ok single line: '13'
Test #18:
score: 0
Accepted
time: 0ms
memory: 3628kb
input:
1985984
output:
-1
result:
ok single line: '-1'
Test #19:
score: 0
Accepted
time: 0ms
memory: 3624kb
input:
2
output:
-1
result:
ok single line: '-1'
Test #20:
score: 0
Accepted
time: 0ms
memory: 3636kb
input:
205891132094649
output:
243
result:
ok single line: '243'
Test #21:
score: 0
Accepted
time: 0ms
memory: 3544kb
input:
25
output:
5
result:
ok single line: '5'
Test #22:
score: 0
Accepted
time: 0ms
memory: 3684kb
input:
2626114239841
output:
1273
result:
ok single line: '1273'
Test #23:
score: 0
Accepted
time: 0ms
memory: 3680kb
input:
26269395104446321
output:
12731
result:
ok single line: '12731'
Test #24:
score: 0
Accepted
time: 0ms
memory: 3548kb
input:
3
output:
-1
result:
ok single line: '-1'
Test #25:
score: 0
Accepted
time: 0ms
memory: 3552kb
input:
3596345248055296
output:
88
result:
ok single line: '88'
Test #26:
score: 0
Accepted
time: 0ms
memory: 3540kb
input:
36
output:
-1
result:
ok single line: '-1'
Test #27:
score: 0
Accepted
time: 0ms
memory: 3512kb
input:
4
output:
2
result:
ok single line: '2'
Test #28:
score: 0
Accepted
time: 0ms
memory: 3640kb
input:
4096
output:
8
result:
ok single line: '8'
Test #29:
score: 0
Accepted
time: 0ms
memory: 3548kb
input:
49
output:
7
result:
ok single line: '7'
Test #30:
score: 0
Accepted
time: 0ms
memory: 3572kb
input:
5
output:
-1
result:
ok single line: '-1'
Test #31:
score: 0
Accepted
time: 0ms
memory: 3620kb
input:
576460752303423488
output:
-1
result:
ok single line: '-1'
Test #32:
score: 0
Accepted
time: 0ms
memory: 3616kb
input:
581431415926321
output:
24112889
result:
ok single line: '24112889'
Test #33:
score: 0
Accepted
time: 0ms
memory: 3608kb
input:
6
output:
-1
result:
ok single line: '-1'
Test #34:
score: 0
Accepted
time: 0ms
memory: 3548kb
input:
64
output:
4
result:
ok single line: '4'
Test #35:
score: 0
Accepted
time: 0ms
memory: 3700kb
input:
656100000000
output:
30
result:
ok single line: '30'
Test #36:
score: 0
Accepted
time: 0ms
memory: 3552kb
input:
7
output:
-1
result:
ok single line: '-1'
Test #37:
score: 0
Accepted
time: 0ms
memory: 3656kb
input:
729
output:
9
result:
ok single line: '9'
Test #38:
score: 0
Accepted
time: 0ms
memory: 3628kb
input:
8
output:
-1
result:
ok single line: '-1'
Test #39:
score: 0
Accepted
time: 0ms
memory: 3612kb
input:
81
output:
-1
result:
ok single line: '-1'
Test #40:
score: 0
Accepted
time: 0ms
memory: 3636kb
input:
8527674378686464
output:
452
result:
ok single line: '452'
Test #41:
score: 0
Accepted
time: 0ms
memory: 3632kb
input:
9
output:
3
result:
ok single line: '3'
Test #42:
score: 0
Accepted
time: 0ms
memory: 3628kb
input:
982134461213542729
output:
994009
result:
ok single line: '994009'
Test #43:
score: 0
Accepted
time: 0ms
memory: 3548kb
input:
9992002399680016
output:
9998
result:
ok single line: '9998'
Test #44:
score: 0
Accepted
time: 0ms
memory: 3612kb
input:
999269311525198921
output:
-1
result:
ok single line: '-1'
Test #45:
score: 0
Accepted
time: 0ms
memory: 3636kb
input:
999949000866995087
output:
-1
result:
ok single line: '-1'
Test #46:
score: 0
Accepted
time: 0ms
memory: 3572kb
input:
999995482005103081
output:
-1
result:
ok single line: '-1'
Test #47:
score: 0
Accepted
time: 0ms
memory: 3548kb
input:
999999969999997921
output:
-1
result:
ok single line: '-1'
Test #48:
score: 0
Accepted
time: 0ms
memory: 3612kb
input:
999999999999999989
output:
-1
result:
ok single line: '-1'
Test #49:
score: 0
Accepted
time: 0ms
memory: 3616kb
input:
999999999999999999
output:
-1
result:
ok single line: '-1'