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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#134439 | #6566. Power of Divisors | Noobie_99# | AC ✓ | 1ms | 3636kb | C++20 | 1.3kb | 2023-08-03 19:46:10 | 2023-08-03 19:46:11 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define tsolve int t; cin >> t; while(t--) solve
#define debug(x) cerr << __LINE__ << ": "#x" = " << (x) << endl
#define nl '\n'
#define all(x) ::begin(x), ::end(x)
#define sz(x) (int)::size(x)
using ll = long long;
using ld = long double;
constexpr ll INF = 1e18l + 1;
ll x;
ll npow(ll v, ll n) {
ll r = 1;
for (ll i = 0; i < n; ++i) {
if (INF / r < v) return INF;
r *= v;
}
return r;
}
ll nsqrt(ll v, ll n) {
ll lo = 2;
ll hi = 1'000'000'000;
while (lo < hi) {
ll md = (lo + hi) / 2;
if (npow(md, n) < v) lo = md + 1;
else hi = md;
}
return lo;
}
ll count_divs(ll v) {
ll r = 0;
for (ll i = 1; i * i < v; ++i) {
if (v % i == 0) r += 2;
}
ll t = nsqrt(v, 2);
if (npow(t, 2) == v) ++r;
return r;
}
void solve() {
cin >> x;
if (x == 1) {
cout << 1 << nl;
return;
}
ll s;
ll r = -1;
for (ll i = 2; true; ++i) {
s = nsqrt(x, i);
//cerr << i << ": " << s << ", " << npow(s, i) << nl;
if (s == 2 && npow(s, i) > x) break;
if (npow(s, i) != x) {
continue;
}
if (count_divs(s) == i) {
r = s;
}
}
cout << r << nl;
}
int main() {
cin.tie(0)->sync_with_stdio(false);
cout << setprecision(16);
solve();
}
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 3464kb
input:
15625
output:
25
result:
ok single line: '25'
Test #2:
score: 0
Accepted
time: 1ms
memory: 3412kb
input:
64000000
output:
20
result:
ok single line: '20'
Test #3:
score: 0
Accepted
time: 1ms
memory: 3456kb
input:
65536
output:
-1
result:
ok single line: '-1'
Test #4:
score: 0
Accepted
time: 0ms
memory: 3532kb
input:
1
output:
1
result:
ok single line: '1'
Test #5:
score: 0
Accepted
time: 0ms
memory: 3632kb
input:
10
output:
-1
result:
ok single line: '-1'
Test #6:
score: 0
Accepted
time: 0ms
memory: 3532kb
input:
100
output:
-1
result:
ok single line: '-1'
Test #7:
score: 0
Accepted
time: 1ms
memory: 3636kb
input:
10000
output:
10
result:
ok single line: '10'
Test #8:
score: 0
Accepted
time: 1ms
memory: 3464kb
input:
1000000000000000000
output:
100
result:
ok single line: '100'
Test #9:
score: 0
Accepted
time: 1ms
memory: 3592kb
input:
10372926089038969
output:
218089
result:
ok single line: '218089'
Test #10:
score: 0
Accepted
time: 1ms
memory: 3480kb
input:
10642944803293201
output:
10157
result:
ok single line: '10157'
Test #11:
score: 0
Accepted
time: 1ms
memory: 3368kb
input:
10646534823110209
output:
103182047
result:
ok single line: '103182047'
Test #12:
score: 0
Accepted
time: 0ms
memory: 3468kb
input:
1073741824
output:
32
result:
ok single line: '32'
Test #13:
score: 0
Accepted
time: 0ms
memory: 3476kb
input:
121
output:
11
result:
ok single line: '11'
Test #14:
score: 0
Accepted
time: 0ms
memory: 3416kb
input:
1296
output:
6
result:
ok single line: '6'
Test #15:
score: 0
Accepted
time: 0ms
memory: 3636kb
input:
16
output:
-1
result:
ok single line: '-1'
Test #16:
score: 0
Accepted
time: 1ms
memory: 3468kb
input:
16277421889
output:
127583
result:
ok single line: '127583'
Test #17:
score: 0
Accepted
time: 1ms
memory: 3592kb
input:
169
output:
13
result:
ok single line: '13'
Test #18:
score: 0
Accepted
time: 0ms
memory: 3480kb
input:
1985984
output:
-1
result:
ok single line: '-1'
Test #19:
score: 0
Accepted
time: 1ms
memory: 3456kb
input:
2
output:
-1
result:
ok single line: '-1'
Test #20:
score: 0
Accepted
time: 1ms
memory: 3576kb
input:
205891132094649
output:
243
result:
ok single line: '243'
Test #21:
score: 0
Accepted
time: 1ms
memory: 3636kb
input:
25
output:
5
result:
ok single line: '5'
Test #22:
score: 0
Accepted
time: 0ms
memory: 3460kb
input:
2626114239841
output:
1273
result:
ok single line: '1273'
Test #23:
score: 0
Accepted
time: 1ms
memory: 3576kb
input:
26269395104446321
output:
12731
result:
ok single line: '12731'
Test #24:
score: 0
Accepted
time: 1ms
memory: 3412kb
input:
3
output:
-1
result:
ok single line: '-1'
Test #25:
score: 0
Accepted
time: 1ms
memory: 3484kb
input:
3596345248055296
output:
88
result:
ok single line: '88'
Test #26:
score: 0
Accepted
time: 0ms
memory: 3412kb
input:
36
output:
-1
result:
ok single line: '-1'
Test #27:
score: 0
Accepted
time: 0ms
memory: 3408kb
input:
4
output:
2
result:
ok single line: '2'
Test #28:
score: 0
Accepted
time: 0ms
memory: 3556kb
input:
4096
output:
8
result:
ok single line: '8'
Test #29:
score: 0
Accepted
time: 1ms
memory: 3460kb
input:
49
output:
7
result:
ok single line: '7'
Test #30:
score: 0
Accepted
time: 1ms
memory: 3632kb
input:
5
output:
-1
result:
ok single line: '-1'
Test #31:
score: 0
Accepted
time: 1ms
memory: 3464kb
input:
576460752303423488
output:
-1
result:
ok single line: '-1'
Test #32:
score: 0
Accepted
time: 1ms
memory: 3624kb
input:
581431415926321
output:
24112889
result:
ok single line: '24112889'
Test #33:
score: 0
Accepted
time: 1ms
memory: 3456kb
input:
6
output:
-1
result:
ok single line: '-1'
Test #34:
score: 0
Accepted
time: 0ms
memory: 3416kb
input:
64
output:
4
result:
ok single line: '4'
Test #35:
score: 0
Accepted
time: 1ms
memory: 3476kb
input:
656100000000
output:
30
result:
ok single line: '30'
Test #36:
score: 0
Accepted
time: 1ms
memory: 3372kb
input:
7
output:
-1
result:
ok single line: '-1'
Test #37:
score: 0
Accepted
time: 0ms
memory: 3412kb
input:
729
output:
9
result:
ok single line: '9'
Test #38:
score: 0
Accepted
time: 1ms
memory: 3460kb
input:
8
output:
-1
result:
ok single line: '-1'
Test #39:
score: 0
Accepted
time: 1ms
memory: 3468kb
input:
81
output:
-1
result:
ok single line: '-1'
Test #40:
score: 0
Accepted
time: 1ms
memory: 3464kb
input:
8527674378686464
output:
452
result:
ok single line: '452'
Test #41:
score: 0
Accepted
time: 0ms
memory: 3452kb
input:
9
output:
3
result:
ok single line: '3'
Test #42:
score: 0
Accepted
time: 1ms
memory: 3408kb
input:
982134461213542729
output:
994009
result:
ok single line: '994009'
Test #43:
score: 0
Accepted
time: 1ms
memory: 3368kb
input:
9992002399680016
output:
9998
result:
ok single line: '9998'
Test #44:
score: 0
Accepted
time: 0ms
memory: 3480kb
input:
999269311525198921
output:
-1
result:
ok single line: '-1'
Test #45:
score: 0
Accepted
time: 1ms
memory: 3376kb
input:
999949000866995087
output:
-1
result:
ok single line: '-1'
Test #46:
score: 0
Accepted
time: 0ms
memory: 3412kb
input:
999995482005103081
output:
-1
result:
ok single line: '-1'
Test #47:
score: 0
Accepted
time: 1ms
memory: 3464kb
input:
999999969999997921
output:
-1
result:
ok single line: '-1'
Test #48:
score: 0
Accepted
time: 1ms
memory: 3580kb
input:
999999999999999989
output:
-1
result:
ok single line: '-1'
Test #49:
score: 0
Accepted
time: 1ms
memory: 3412kb
input:
999999999999999999
output:
-1
result:
ok single line: '-1'