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ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#116652 | #6566. Power of Divisors | SorahISA | AC ✓ | 34ms | 18804kb | C++20 | 1.3kb | 2023-06-29 18:14:24 | 2023-06-29 18:14:25 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define int int64_t
const int sq3C = 1'000'000;
bool chk_prime(int x) {
for (int i = 2; i*i <= x; ++i) {
if (x % i == 0) return false;
}
return true;
}
void solve() {
int X; cin >> X;
if (X > sq3C) {
int sqX = sqrtl(X);
for (int i = sqX-3; i <= sqX+3; ++i) {
if (i * i == X and chk_prime(i)) return cout << i << "\n", void();
}
}
bitset<sq3C> is_prime; is_prime.set();
vector<int> div_cnt(sq3C+1), max_pf(sq3C+1);
div_cnt[1] = 1;
for (int i = 2; i <= sq3C; ++i) {
if (is_prime[i]) {
max_pf[i] = i, div_cnt[i] = 2;
for (int j = i+i; j <= sq3C; j += i) is_prime[j] = 0, max_pf[j] = i;
}
else {
int j = i, cnt = 1;
while (j % max_pf[i] == 0) j /= max_pf[i], ++cnt;
div_cnt[i] = div_cnt[j] * cnt;
}
}
for (int i = 1; i <= sq3C; ++i) {
__int128_t val = 1;
for (int exp = 1; exp <= div_cnt[i]; ++exp) {
val *= i;
if (val > X) break;
}
if (val == X) return cout << i << "\n", void();
}
cout << -1 << "\n";
}
int32_t main() {
ios_base::sync_with_stdio(0), cin.tie(0);
solve();
return 0;
}
详细
Test #1:
score: 100
Accepted
time: 20ms
memory: 18724kb
input:
15625
output:
25
result:
ok single line: '25'
Test #2:
score: 0
Accepted
time: 23ms
memory: 18684kb
input:
64000000
output:
20
result:
ok single line: '20'
Test #3:
score: 0
Accepted
time: 26ms
memory: 18740kb
input:
65536
output:
-1
result:
ok single line: '-1'
Test #4:
score: 0
Accepted
time: 27ms
memory: 18676kb
input:
1
output:
1
result:
ok single line: '1'
Test #5:
score: 0
Accepted
time: 25ms
memory: 18708kb
input:
10
output:
-1
result:
ok single line: '-1'
Test #6:
score: 0
Accepted
time: 24ms
memory: 18696kb
input:
100
output:
-1
result:
ok single line: '-1'
Test #7:
score: 0
Accepted
time: 26ms
memory: 18644kb
input:
10000
output:
10
result:
ok single line: '10'
Test #8:
score: 0
Accepted
time: 22ms
memory: 18752kb
input:
1000000000000000000
output:
100
result:
ok single line: '100'
Test #9:
score: 0
Accepted
time: 28ms
memory: 18720kb
input:
10372926089038969
output:
218089
result:
ok single line: '218089'
Test #10:
score: 0
Accepted
time: 24ms
memory: 18732kb
input:
10642944803293201
output:
10157
result:
ok single line: '10157'
Test #11:
score: 0
Accepted
time: 1ms
memory: 3516kb
input:
10646534823110209
output:
103182047
result:
ok single line: '103182047'
Test #12:
score: 0
Accepted
time: 19ms
memory: 18736kb
input:
1073741824
output:
32
result:
ok single line: '32'
Test #13:
score: 0
Accepted
time: 24ms
memory: 18720kb
input:
121
output:
11
result:
ok single line: '11'
Test #14:
score: 0
Accepted
time: 23ms
memory: 18628kb
input:
1296
output:
6
result:
ok single line: '6'
Test #15:
score: 0
Accepted
time: 21ms
memory: 18720kb
input:
16
output:
-1
result:
ok single line: '-1'
Test #16:
score: 0
Accepted
time: 1ms
memory: 3536kb
input:
16277421889
output:
127583
result:
ok single line: '127583'
Test #17:
score: 0
Accepted
time: 23ms
memory: 18740kb
input:
169
output:
13
result:
ok single line: '13'
Test #18:
score: 0
Accepted
time: 26ms
memory: 18740kb
input:
1985984
output:
-1
result:
ok single line: '-1'
Test #19:
score: 0
Accepted
time: 23ms
memory: 18732kb
input:
2
output:
-1
result:
ok single line: '-1'
Test #20:
score: 0
Accepted
time: 25ms
memory: 18708kb
input:
205891132094649
output:
243
result:
ok single line: '243'
Test #21:
score: 0
Accepted
time: 23ms
memory: 18668kb
input:
25
output:
5
result:
ok single line: '5'
Test #22:
score: 0
Accepted
time: 24ms
memory: 18652kb
input:
2626114239841
output:
1273
result:
ok single line: '1273'
Test #23:
score: 0
Accepted
time: 19ms
memory: 18768kb
input:
26269395104446321
output:
12731
result:
ok single line: '12731'
Test #24:
score: 0
Accepted
time: 25ms
memory: 18744kb
input:
3
output:
-1
result:
ok single line: '-1'
Test #25:
score: 0
Accepted
time: 20ms
memory: 18736kb
input:
3596345248055296
output:
88
result:
ok single line: '88'
Test #26:
score: 0
Accepted
time: 21ms
memory: 18672kb
input:
36
output:
-1
result:
ok single line: '-1'
Test #27:
score: 0
Accepted
time: 24ms
memory: 18724kb
input:
4
output:
2
result:
ok single line: '2'
Test #28:
score: 0
Accepted
time: 28ms
memory: 18660kb
input:
4096
output:
8
result:
ok single line: '8'
Test #29:
score: 0
Accepted
time: 26ms
memory: 18652kb
input:
49
output:
7
result:
ok single line: '7'
Test #30:
score: 0
Accepted
time: 25ms
memory: 18660kb
input:
5
output:
-1
result:
ok single line: '-1'
Test #31:
score: 0
Accepted
time: 27ms
memory: 18756kb
input:
576460752303423488
output:
-1
result:
ok single line: '-1'
Test #32:
score: 0
Accepted
time: 0ms
memory: 3580kb
input:
581431415926321
output:
24112889
result:
ok single line: '24112889'
Test #33:
score: 0
Accepted
time: 25ms
memory: 18664kb
input:
6
output:
-1
result:
ok single line: '-1'
Test #34:
score: 0
Accepted
time: 25ms
memory: 18740kb
input:
64
output:
4
result:
ok single line: '4'
Test #35:
score: 0
Accepted
time: 22ms
memory: 18728kb
input:
656100000000
output:
30
result:
ok single line: '30'
Test #36:
score: 0
Accepted
time: 20ms
memory: 18748kb
input:
7
output:
-1
result:
ok single line: '-1'
Test #37:
score: 0
Accepted
time: 23ms
memory: 18680kb
input:
729
output:
9
result:
ok single line: '9'
Test #38:
score: 0
Accepted
time: 24ms
memory: 18676kb
input:
8
output:
-1
result:
ok single line: '-1'
Test #39:
score: 0
Accepted
time: 29ms
memory: 18644kb
input:
81
output:
-1
result:
ok single line: '-1'
Test #40:
score: 0
Accepted
time: 22ms
memory: 18760kb
input:
8527674378686464
output:
452
result:
ok single line: '452'
Test #41:
score: 0
Accepted
time: 27ms
memory: 18792kb
input:
9
output:
3
result:
ok single line: '3'
Test #42:
score: 0
Accepted
time: 29ms
memory: 18688kb
input:
982134461213542729
output:
994009
result:
ok single line: '994009'
Test #43:
score: 0
Accepted
time: 23ms
memory: 18676kb
input:
9992002399680016
output:
9998
result:
ok single line: '9998'
Test #44:
score: 0
Accepted
time: 26ms
memory: 18660kb
input:
999269311525198921
output:
-1
result:
ok single line: '-1'
Test #45:
score: 0
Accepted
time: 32ms
memory: 18720kb
input:
999949000866995087
output:
-1
result:
ok single line: '-1'
Test #46:
score: 0
Accepted
time: 34ms
memory: 18668kb
input:
999995482005103081
output:
-1
result:
ok single line: '-1'
Test #47:
score: 0
Accepted
time: 31ms
memory: 18664kb
input:
999999969999997921
output:
-1
result:
ok single line: '-1'
Test #48:
score: 0
Accepted
time: 27ms
memory: 18680kb
input:
999999999999999989
output:
-1
result:
ok single line: '-1'
Test #49:
score: 0
Accepted
time: 30ms
memory: 18804kb
input:
999999999999999999
output:
-1
result:
ok single line: '-1'