QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#419632 | #6566. Power of Divisors | ohiostatescarlet | AC ✓ | 33ms | 12088kb | C++17 | 1.1kb | 2024-05-24 05:06:58 | 2024-05-24 05:06:59 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
#define L long long
L M = 1e6;
inline L pow_mod(L x, L n) {
L res = 1;
for (; n; n >>= 1) {
if (n & 1) res = res * x;
x = x * x;
}
return res;
}
int main() {
ios_base::sync_with_stdio(0); cin.tie(0);
vector<L> primes;
vector<L> fact(M+1,1);
for (L i = 2; i <= M; i++) {
if (fact[i] == 1) {
primes.push_back(i);
for (L j = 2 * i; j <= M; j += i) {
L f = 1;
L k = j;
while (k % i == 0) {
k /= i;
f++;
}
fact[j] *= f;
}
}
}
L x;
cin >> x;
for (double i = 62; i >= 2; i--) {
L v = round(pow(x, 1/i));
if (pow_mod(v, i) == x) {
if (i > 2) {
if (i == fact[v]) {
cout << v << endl;
return 0;
}
} else {
bool succ = true;
for (L a : primes) {
if (a != v && x % a == 0) {
succ = false;
}
}
if (succ) {
cout << v << endl;
return 0;
}
}
}
}
cout << "-1\n";
}
/*
15625
*/
Details
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Test #1:
score: 100
Accepted
time: 33ms
memory: 11840kb
input:
15625
output:
25
result:
ok single line: '25'
Test #2:
score: 0
Accepted
time: 28ms
memory: 12084kb
input:
64000000
output:
20
result:
ok single line: '20'
Test #3:
score: 0
Accepted
time: 33ms
memory: 12032kb
input:
65536
output:
-1
result:
ok single line: '-1'
Test #4:
score: 0
Accepted
time: 29ms
memory: 11940kb
input:
1
output:
1
result:
ok single line: '1'
Test #5:
score: 0
Accepted
time: 33ms
memory: 11932kb
input:
10
output:
-1
result:
ok single line: '-1'
Test #6:
score: 0
Accepted
time: 29ms
memory: 11932kb
input:
100
output:
-1
result:
ok single line: '-1'
Test #7:
score: 0
Accepted
time: 33ms
memory: 11928kb
input:
10000
output:
10
result:
ok single line: '10'
Test #8:
score: 0
Accepted
time: 29ms
memory: 11904kb
input:
1000000000000000000
output:
100
result:
ok single line: '100'
Test #9:
score: 0
Accepted
time: 29ms
memory: 12032kb
input:
10372926089038969
output:
218089
result:
ok single line: '218089'
Test #10:
score: 0
Accepted
time: 29ms
memory: 11864kb
input:
10642944803293201
output:
10157
result:
ok single line: '10157'
Test #11:
score: 0
Accepted
time: 32ms
memory: 12032kb
input:
10646534823110209
output:
103182047
result:
ok single line: '103182047'
Test #12:
score: 0
Accepted
time: 32ms
memory: 11864kb
input:
1073741824
output:
32
result:
ok single line: '32'
Test #13:
score: 0
Accepted
time: 29ms
memory: 11944kb
input:
121
output:
11
result:
ok single line: '11'
Test #14:
score: 0
Accepted
time: 33ms
memory: 11892kb
input:
1296
output:
6
result:
ok single line: '6'
Test #15:
score: 0
Accepted
time: 29ms
memory: 11984kb
input:
16
output:
-1
result:
ok single line: '-1'
Test #16:
score: 0
Accepted
time: 29ms
memory: 12036kb
input:
16277421889
output:
127583
result:
ok single line: '127583'
Test #17:
score: 0
Accepted
time: 33ms
memory: 12036kb
input:
169
output:
13
result:
ok single line: '13'
Test #18:
score: 0
Accepted
time: 29ms
memory: 11892kb
input:
1985984
output:
-1
result:
ok single line: '-1'
Test #19:
score: 0
Accepted
time: 29ms
memory: 11972kb
input:
2
output:
-1
result:
ok single line: '-1'
Test #20:
score: 0
Accepted
time: 29ms
memory: 11932kb
input:
205891132094649
output:
243
result:
ok single line: '243'
Test #21:
score: 0
Accepted
time: 33ms
memory: 11904kb
input:
25
output:
5
result:
ok single line: '5'
Test #22:
score: 0
Accepted
time: 33ms
memory: 11864kb
input:
2626114239841
output:
1273
result:
ok single line: '1273'
Test #23:
score: 0
Accepted
time: 24ms
memory: 11924kb
input:
26269395104446321
output:
12731
result:
ok single line: '12731'
Test #24:
score: 0
Accepted
time: 29ms
memory: 12088kb
input:
3
output:
-1
result:
ok single line: '-1'
Test #25:
score: 0
Accepted
time: 29ms
memory: 12032kb
input:
3596345248055296
output:
88
result:
ok single line: '88'
Test #26:
score: 0
Accepted
time: 29ms
memory: 12036kb
input:
36
output:
-1
result:
ok single line: '-1'
Test #27:
score: 0
Accepted
time: 26ms
memory: 11932kb
input:
4
output:
2
result:
ok single line: '2'
Test #28:
score: 0
Accepted
time: 29ms
memory: 11972kb
input:
4096
output:
8
result:
ok single line: '8'
Test #29:
score: 0
Accepted
time: 33ms
memory: 11844kb
input:
49
output:
7
result:
ok single line: '7'
Test #30:
score: 0
Accepted
time: 32ms
memory: 11888kb
input:
5
output:
-1
result:
ok single line: '-1'
Test #31:
score: 0
Accepted
time: 24ms
memory: 11972kb
input:
576460752303423488
output:
-1
result:
ok single line: '-1'
Test #32:
score: 0
Accepted
time: 33ms
memory: 11924kb
input:
581431415926321
output:
24112889
result:
ok single line: '24112889'
Test #33:
score: 0
Accepted
time: 25ms
memory: 11888kb
input:
6
output:
-1
result:
ok single line: '-1'
Test #34:
score: 0
Accepted
time: 33ms
memory: 11856kb
input:
64
output:
4
result:
ok single line: '4'
Test #35:
score: 0
Accepted
time: 33ms
memory: 11980kb
input:
656100000000
output:
30
result:
ok single line: '30'
Test #36:
score: 0
Accepted
time: 33ms
memory: 11944kb
input:
7
output:
-1
result:
ok single line: '-1'
Test #37:
score: 0
Accepted
time: 29ms
memory: 11892kb
input:
729
output:
9
result:
ok single line: '9'
Test #38:
score: 0
Accepted
time: 29ms
memory: 11832kb
input:
8
output:
-1
result:
ok single line: '-1'
Test #39:
score: 0
Accepted
time: 33ms
memory: 11940kb
input:
81
output:
-1
result:
ok single line: '-1'
Test #40:
score: 0
Accepted
time: 29ms
memory: 11852kb
input:
8527674378686464
output:
452
result:
ok single line: '452'
Test #41:
score: 0
Accepted
time: 29ms
memory: 11864kb
input:
9
output:
3
result:
ok single line: '3'
Test #42:
score: 0
Accepted
time: 29ms
memory: 12032kb
input:
982134461213542729
output:
994009
result:
ok single line: '994009'
Test #43:
score: 0
Accepted
time: 32ms
memory: 11864kb
input:
9992002399680016
output:
9998
result:
ok single line: '9998'
Test #44:
score: 0
Accepted
time: 33ms
memory: 12088kb
input:
999269311525198921
output:
-1
result:
ok single line: '-1'
Test #45:
score: 0
Accepted
time: 33ms
memory: 11864kb
input:
999949000866995087
output:
-1
result:
ok single line: '-1'
Test #46:
score: 0
Accepted
time: 30ms
memory: 11908kb
input:
999995482005103081
output:
-1
result:
ok single line: '-1'
Test #47:
score: 0
Accepted
time: 33ms
memory: 11888kb
input:
999999969999997921
output:
-1
result:
ok single line: '-1'
Test #48:
score: 0
Accepted
time: 33ms
memory: 11944kb
input:
999999999999999989
output:
-1
result:
ok single line: '-1'
Test #49:
score: 0
Accepted
time: 29ms
memory: 12088kb
input:
999999999999999999
output:
-1
result:
ok single line: '-1'