QOJ.ac
QOJ
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 |
---|---|---|---|---|---|---|---|---|---|
#112164 | #6566. Power of Divisors | maomao90# | AC ✓ | 11ms | 3532kb | C++17 | 2.4kb | 2023-06-10 13:32:29 | 2023-06-10 13:32:32 |
Judging History
answer
// Hallelujah, praise the one who set me free
// Hallelujah, death has lost its grip on me
// You have broken every chain, There's salvation in your name
// Jesus Christ, my living hope
#include <bits/stdc++.h>
using namespace std;
#define REP(i, s, e) for (int i = (s); i < (e); i++)
#define RREP(i, s, e) for (int i = (s); i >= (e); i--)
template <class T>
inline bool mnto(T& a, T b) {return a > b ? a = b, 1 : 0;}
template <class T>
inline bool mxto(T& a, T b) {return a < b ? a = b, 1: 0;}
typedef long long ll;
typedef long double ld;
#define FI first
#define SE second
typedef pair<int, int> ii;
typedef pair<ll, ll> pll;
typedef tuple<int, int, int> iii;
#define ALL(_a) _a.begin(), _a.end()
#define SZ(_a) (int) _a.size()
#define pb push_back
typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<ii> vii;
typedef vector<iii> viii;
#ifndef DEBUG
#define cerr if (0) cerr
#endif
const int INF = 1000000005;
const ll LINF = 1000000000000000005ll;
const int MAXN = 1000005;
ll x;
vi vc;
ll rt(ll x, ll p) {
ll lo = 1, hi = x;
while (lo < hi) {
ll mid = lo + hi + 1 >> 1;
ll res = 1;
bool pos = 1;
REP (z, 0, p) {
if (res > x / mid) {
pos = 0;
break;
}
res = res * mid;
}
if (pos) {
lo = mid;
} else {
hi = mid - 1;
}
}
cerr << x << ' ' << p << ": " << lo << '\n';
return lo;
}
int main() {
#ifndef DEBUG
ios::sync_with_stdio(0), cin.tie(0);
#endif
cin >> x;
if (x == 1) {
cout << 1 << '\n';
return 0;
}
ll ox = x;
REP (i, 2, MAXN) {
int cnt = 0;
while (x % i == 0) {
x /= i;
cnt++;
}
if (cnt) {
vc.pb(cnt);
}
}
if (x > 1) {
ll sq = rt(x, 2);
if (sq * sq == x) {
vc.pb(2);
} else {
vc.pb(1);
}
}
int g = 0;
for (int c : vc) {
g = __gcd(g, c);
}
int fnd = -1;
REP (i, 1, g + 1) {
ll prod = 1;
if (g % i) {
continue;
}
for (int c : vc) {
prod *= c / g * i + 1;
}
if (prod == g / i) {
fnd = i;
break;
}
}
if (fnd == -1) {
cout << -1 << '\n';
} else {
cout << rt(ox, g / fnd) << '\n';
}
return 0;
}
詳細信息
Test #1:
score: 100
Accepted
time: 10ms
memory: 3512kb
input:
15625
output:
25
result:
ok single line: '25'
Test #2:
score: 0
Accepted
time: 10ms
memory: 3348kb
input:
64000000
output:
20
result:
ok single line: '20'
Test #3:
score: 0
Accepted
time: 7ms
memory: 3412kb
input:
65536
output:
-1
result:
ok single line: '-1'
Test #4:
score: 0
Accepted
time: 1ms
memory: 3472kb
input:
1
output:
1
result:
ok single line: '1'
Test #5:
score: 0
Accepted
time: 10ms
memory: 3264kb
input:
10
output:
-1
result:
ok single line: '-1'
Test #6:
score: 0
Accepted
time: 10ms
memory: 3268kb
input:
100
output:
-1
result:
ok single line: '-1'
Test #7:
score: 0
Accepted
time: 11ms
memory: 3352kb
input:
10000
output:
10
result:
ok single line: '10'
Test #8:
score: 0
Accepted
time: 10ms
memory: 3324kb
input:
1000000000000000000
output:
100
result:
ok single line: '100'
Test #9:
score: 0
Accepted
time: 10ms
memory: 3404kb
input:
10372926089038969
output:
218089
result:
ok single line: '218089'
Test #10:
score: 0
Accepted
time: 7ms
memory: 3304kb
input:
10642944803293201
output:
10157
result:
ok single line: '10157'
Test #11:
score: 0
Accepted
time: 10ms
memory: 3412kb
input:
10646534823110209
output:
103182047
result:
ok single line: '103182047'
Test #12:
score: 0
Accepted
time: 10ms
memory: 3512kb
input:
1073741824
output:
32
result:
ok single line: '32'
Test #13:
score: 0
Accepted
time: 10ms
memory: 3360kb
input:
121
output:
11
result:
ok single line: '11'
Test #14:
score: 0
Accepted
time: 10ms
memory: 3468kb
input:
1296
output:
6
result:
ok single line: '6'
Test #15:
score: 0
Accepted
time: 7ms
memory: 3360kb
input:
16
output:
-1
result:
ok single line: '-1'
Test #16:
score: 0
Accepted
time: 10ms
memory: 3468kb
input:
16277421889
output:
127583
result:
ok single line: '127583'
Test #17:
score: 0
Accepted
time: 10ms
memory: 3448kb
input:
169
output:
13
result:
ok single line: '13'
Test #18:
score: 0
Accepted
time: 10ms
memory: 3408kb
input:
1985984
output:
-1
result:
ok single line: '-1'
Test #19:
score: 0
Accepted
time: 8ms
memory: 3532kb
input:
2
output:
-1
result:
ok single line: '-1'
Test #20:
score: 0
Accepted
time: 10ms
memory: 3516kb
input:
205891132094649
output:
243
result:
ok single line: '243'
Test #21:
score: 0
Accepted
time: 10ms
memory: 3420kb
input:
25
output:
5
result:
ok single line: '5'
Test #22:
score: 0
Accepted
time: 10ms
memory: 3508kb
input:
2626114239841
output:
1273
result:
ok single line: '1273'
Test #23:
score: 0
Accepted
time: 10ms
memory: 3472kb
input:
26269395104446321
output:
12731
result:
ok single line: '12731'
Test #24:
score: 0
Accepted
time: 7ms
memory: 3408kb
input:
3
output:
-1
result:
ok single line: '-1'
Test #25:
score: 0
Accepted
time: 10ms
memory: 3412kb
input:
3596345248055296
output:
88
result:
ok single line: '88'
Test #26:
score: 0
Accepted
time: 10ms
memory: 3328kb
input:
36
output:
-1
result:
ok single line: '-1'
Test #27:
score: 0
Accepted
time: 7ms
memory: 3328kb
input:
4
output:
2
result:
ok single line: '2'
Test #28:
score: 0
Accepted
time: 10ms
memory: 3312kb
input:
4096
output:
8
result:
ok single line: '8'
Test #29:
score: 0
Accepted
time: 10ms
memory: 3416kb
input:
49
output:
7
result:
ok single line: '7'
Test #30:
score: 0
Accepted
time: 10ms
memory: 3308kb
input:
5
output:
-1
result:
ok single line: '-1'
Test #31:
score: 0
Accepted
time: 11ms
memory: 3508kb
input:
576460752303423488
output:
-1
result:
ok single line: '-1'
Test #32:
score: 0
Accepted
time: 10ms
memory: 3308kb
input:
581431415926321
output:
24112889
result:
ok single line: '24112889'
Test #33:
score: 0
Accepted
time: 8ms
memory: 3328kb
input:
6
output:
-1
result:
ok single line: '-1'
Test #34:
score: 0
Accepted
time: 10ms
memory: 3528kb
input:
64
output:
4
result:
ok single line: '4'
Test #35:
score: 0
Accepted
time: 10ms
memory: 3412kb
input:
656100000000
output:
30
result:
ok single line: '30'
Test #36:
score: 0
Accepted
time: 10ms
memory: 3328kb
input:
7
output:
-1
result:
ok single line: '-1'
Test #37:
score: 0
Accepted
time: 10ms
memory: 3356kb
input:
729
output:
9
result:
ok single line: '9'
Test #38:
score: 0
Accepted
time: 7ms
memory: 3316kb
input:
8
output:
-1
result:
ok single line: '-1'
Test #39:
score: 0
Accepted
time: 7ms
memory: 3404kb
input:
81
output:
-1
result:
ok single line: '-1'
Test #40:
score: 0
Accepted
time: 10ms
memory: 3304kb
input:
8527674378686464
output:
452
result:
ok single line: '452'
Test #41:
score: 0
Accepted
time: 10ms
memory: 3412kb
input:
9
output:
3
result:
ok single line: '3'
Test #42:
score: 0
Accepted
time: 11ms
memory: 3468kb
input:
982134461213542729
output:
994009
result:
ok single line: '994009'
Test #43:
score: 0
Accepted
time: 10ms
memory: 3352kb
input:
9992002399680016
output:
9998
result:
ok single line: '9998'
Test #44:
score: 0
Accepted
time: 7ms
memory: 3356kb
input:
999269311525198921
output:
-1
result:
ok single line: '-1'
Test #45:
score: 0
Accepted
time: 10ms
memory: 3420kb
input:
999949000866995087
output:
-1
result:
ok single line: '-1'
Test #46:
score: 0
Accepted
time: 10ms
memory: 3348kb
input:
999995482005103081
output:
-1
result:
ok single line: '-1'
Test #47:
score: 0
Accepted
time: 10ms
memory: 3468kb
input:
999999969999997921
output:
-1
result:
ok single line: '-1'
Test #48:
score: 0
Accepted
time: 10ms
memory: 3352kb
input:
999999999999999989
output:
-1
result:
ok single line: '-1'
Test #49:
score: 0
Accepted
time: 5ms
memory: 3356kb
input:
999999999999999999
output:
-1
result:
ok single line: '-1'