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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#728665 | #6566. Power of Divisors | ahsoltan# | AC ✓ | 39ms | 7220kb | C++14 | 1.8kb | 2024-11-09 15:37:31 | 2024-11-09 15:37:32 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define rep(i, a, b) for (int i = (a); i < (b); i++)
#define all(x) begin(x), end(x)
#define sz(x) int((x).size())
using ll = long long;
using pii = pair<int, int>;
using vi = vector<int>;
#ifdef LOCAL
auto operator<<(auto& o, auto x) -> decltype(x.first, o);
auto operator<<(auto& o, auto x) -> decltype(x.end(), o) {
o << "{";
for (int i = 0; auto y : x) o << ", " + !i++ * 2 << y;
return o << "}";
}
auto operator<<(auto& o, auto x) -> decltype(x.first, o) {
return o << "(" << x.first << ", " << x.second << ")";
}
void __print(auto... x) { ((cerr << x << " "), ...) << endl; }
#define debug(x...) __print("[" #x "]:", x)
#else
#define debug(...) 2137
#endif
__int128 bp(__int128 a, __int128 b) {
__int128 r = 1;
while(b) {
if(b & 1) r = r * a;
a = a * a;
b /= 2;
if(a > 2e18 || r > 2e18) return 2e18;
}
return r;
}
int main() {
cin.tie(0)->sync_with_stdio(0);
ll x;
cin >> x;
if(x == 1) {
cout << 1 << '\n';
return 0;
}
vector<int> div(1e6 + 10);
for(int i = 1; i < div.size(); i++) {
for(int j = i; j < div.size(); j += i) div[j]++;
}
ll ans = 1e18;
{
ll n = sqrt(x);
while(n * n < x) n++;
while(n * n > x) n--;
bool f = true;
if(n * n == x) {
for(ll i = 2; i * i <= n; i++) {
if(n % i == 0) {
f = false;
break;
}
}
if(f) {
ans = n;
}
}
}
for(ll n = 2; n <= 1e6; n++) {
__int128 pw = 1;
if(div[n] <= 60) {
for(int i = 0; i < div[n]; i++) {
pw = pw * n;
if(pw > 1e18) break;
}
if(pw == x) ans = min(ans, n);
}
}
if(ans == 1e18) cout << -1 << endl;
else cout << ans << endl;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 38ms
memory: 7088kb
input:
15625
output:
25
result:
ok single line: '25'
Test #2:
score: 0
Accepted
time: 37ms
memory: 6912kb
input:
64000000
output:
20
result:
ok single line: '20'
Test #3:
score: 0
Accepted
time: 33ms
memory: 7220kb
input:
65536
output:
-1
result:
ok single line: '-1'
Test #4:
score: 0
Accepted
time: 0ms
memory: 3452kb
input:
1
output:
1
result:
ok single line: '1'
Test #5:
score: 0
Accepted
time: 37ms
memory: 6972kb
input:
10
output:
-1
result:
ok single line: '-1'
Test #6:
score: 0
Accepted
time: 37ms
memory: 6992kb
input:
100
output:
-1
result:
ok single line: '-1'
Test #7:
score: 0
Accepted
time: 37ms
memory: 6976kb
input:
10000
output:
10
result:
ok single line: '10'
Test #8:
score: 0
Accepted
time: 37ms
memory: 7004kb
input:
1000000000000000000
output:
100
result:
ok single line: '100'
Test #9:
score: 0
Accepted
time: 33ms
memory: 6872kb
input:
10372926089038969
output:
218089
result:
ok single line: '218089'
Test #10:
score: 0
Accepted
time: 33ms
memory: 6976kb
input:
10642944803293201
output:
10157
result:
ok single line: '10157'
Test #11:
score: 0
Accepted
time: 38ms
memory: 6996kb
input:
10646534823110209
output:
103182047
result:
ok single line: '103182047'
Test #12:
score: 0
Accepted
time: 37ms
memory: 6996kb
input:
1073741824
output:
32
result:
ok single line: '32'
Test #13:
score: 0
Accepted
time: 37ms
memory: 7104kb
input:
121
output:
11
result:
ok single line: '11'
Test #14:
score: 0
Accepted
time: 33ms
memory: 6984kb
input:
1296
output:
6
result:
ok single line: '6'
Test #15:
score: 0
Accepted
time: 37ms
memory: 6992kb
input:
16
output:
-1
result:
ok single line: '-1'
Test #16:
score: 0
Accepted
time: 38ms
memory: 6916kb
input:
16277421889
output:
127583
result:
ok single line: '127583'
Test #17:
score: 0
Accepted
time: 37ms
memory: 6980kb
input:
169
output:
13
result:
ok single line: '13'
Test #18:
score: 0
Accepted
time: 37ms
memory: 6984kb
input:
1985984
output:
-1
result:
ok single line: '-1'
Test #19:
score: 0
Accepted
time: 37ms
memory: 6980kb
input:
2
output:
-1
result:
ok single line: '-1'
Test #20:
score: 0
Accepted
time: 34ms
memory: 6996kb
input:
205891132094649
output:
243
result:
ok single line: '243'
Test #21:
score: 0
Accepted
time: 37ms
memory: 6992kb
input:
25
output:
5
result:
ok single line: '5'
Test #22:
score: 0
Accepted
time: 37ms
memory: 7152kb
input:
2626114239841
output:
1273
result:
ok single line: '1273'
Test #23:
score: 0
Accepted
time: 37ms
memory: 7092kb
input:
26269395104446321
output:
12731
result:
ok single line: '12731'
Test #24:
score: 0
Accepted
time: 37ms
memory: 7100kb
input:
3
output:
-1
result:
ok single line: '-1'
Test #25:
score: 0
Accepted
time: 34ms
memory: 7156kb
input:
3596345248055296
output:
88
result:
ok single line: '88'
Test #26:
score: 0
Accepted
time: 37ms
memory: 6972kb
input:
36
output:
-1
result:
ok single line: '-1'
Test #27:
score: 0
Accepted
time: 36ms
memory: 6912kb
input:
4
output:
2
result:
ok single line: '2'
Test #28:
score: 0
Accepted
time: 37ms
memory: 6976kb
input:
4096
output:
8
result:
ok single line: '8'
Test #29:
score: 0
Accepted
time: 39ms
memory: 6908kb
input:
49
output:
7
result:
ok single line: '7'
Test #30:
score: 0
Accepted
time: 33ms
memory: 6912kb
input:
5
output:
-1
result:
ok single line: '-1'
Test #31:
score: 0
Accepted
time: 37ms
memory: 6996kb
input:
576460752303423488
output:
-1
result:
ok single line: '-1'
Test #32:
score: 0
Accepted
time: 36ms
memory: 6956kb
input:
581431415926321
output:
24112889
result:
ok single line: '24112889'
Test #33:
score: 0
Accepted
time: 29ms
memory: 6900kb
input:
6
output:
-1
result:
ok single line: '-1'
Test #34:
score: 0
Accepted
time: 37ms
memory: 6876kb
input:
64
output:
4
result:
ok single line: '4'
Test #35:
score: 0
Accepted
time: 37ms
memory: 6872kb
input:
656100000000
output:
30
result:
ok single line: '30'
Test #36:
score: 0
Accepted
time: 33ms
memory: 7008kb
input:
7
output:
-1
result:
ok single line: '-1'
Test #37:
score: 0
Accepted
time: 37ms
memory: 7096kb
input:
729
output:
9
result:
ok single line: '9'
Test #38:
score: 0
Accepted
time: 36ms
memory: 6992kb
input:
8
output:
-1
result:
ok single line: '-1'
Test #39:
score: 0
Accepted
time: 33ms
memory: 6916kb
input:
81
output:
-1
result:
ok single line: '-1'
Test #40:
score: 0
Accepted
time: 37ms
memory: 7152kb
input:
8527674378686464
output:
452
result:
ok single line: '452'
Test #41:
score: 0
Accepted
time: 33ms
memory: 6984kb
input:
9
output:
3
result:
ok single line: '3'
Test #42:
score: 0
Accepted
time: 37ms
memory: 6928kb
input:
982134461213542729
output:
994009
result:
ok single line: '994009'
Test #43:
score: 0
Accepted
time: 37ms
memory: 6992kb
input:
9992002399680016
output:
9998
result:
ok single line: '9998'
Test #44:
score: 0
Accepted
time: 34ms
memory: 6932kb
input:
999269311525198921
output:
-1
result:
ok single line: '-1'
Test #45:
score: 0
Accepted
time: 37ms
memory: 6972kb
input:
999949000866995087
output:
-1
result:
ok single line: '-1'
Test #46:
score: 0
Accepted
time: 37ms
memory: 6908kb
input:
999995482005103081
output:
-1
result:
ok single line: '-1'
Test #47:
score: 0
Accepted
time: 37ms
memory: 7080kb
input:
999999969999997921
output:
-1
result:
ok single line: '-1'
Test #48:
score: 0
Accepted
time: 37ms
memory: 7152kb
input:
999999999999999989
output:
-1
result:
ok single line: '-1'
Test #49:
score: 0
Accepted
time: 37ms
memory: 6992kb
input:
999999999999999999
output:
-1
result:
ok single line: '-1'