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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 |
---|---|---|---|---|---|---|---|---|---|
#110945 | #6566. Power of Divisors | USP_USP_USP# | AC ✓ | 3ms | 3520kb | C++20 | 2.0kb | 2023-06-04 23:12:15 | 2023-06-04 23:12:17 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define int ll
#define all(v) (v).begin(), (v).end()
#define pb push_back
void dbg_out() { cerr << endl; }
template<typename H, typename... T>
void dbg_out(H h, T... t) { cerr << ' ' << h; dbg_out(t...); }
#define dbg(...) { cerr << #__VA_ARGS__ << ':'; dbg_out(__VA_ARGS__); }
ll mul(ll a, ll b, ll m){
ll ret = a*b-ll((long double)1/m*a*b+0.5)*m;
return ret < 0 ? ret+m : ret;
}
ll pow(ll x, ll y, ll m){
if(!y) return 1;
ll ans = pow(mul(x,x,m), y/2,m);
return y%2 ? mul(x,ans,m) : ans;
}
bool prime(ll n){
if(n < 2) return 0;
if(n <= 3) return 1;
if(n%2 == 0) return 0;
ll r = __builtin_ctzll(n-1), d = n>>r;
for(int a : {2,325,937,28178,450775,9780504,795265022}){
ll x = pow(a,d,n);
if(x == 1 or x == n-1 or a%n == 0) continue;
for(int j = 0; j < r-1; j++){
x = mul(x,x,n);
if(x == n-1) break;
}
if(x != n-1) return 0;
}
return 1;
}
ll rho(ll n){
if(n == 1 or prime(n)) return n;
auto f = [n](ll x){ return mul(x,x,n)+1;};
ll x=0, y=0, t=30, prd=2,x0=1,q;
while(t%40 != 0 or gcd(prd,n) == 1){
if(x==y) x = ++x0, y=f(x);
q = mul(prd,abs(x-y),n);
if(q != 0) prd = q;
x = f(x), y = f(f(y)), t++;
}
return gcd(prd,n);
}
vector<ll> fact(ll n){
if(n == 1) return {};
if(prime(n)) return {n};
ll d = rho(n);
vector<ll> l = fact(d), r = fact(n/d);
l.insert(l.end(), r.begin(), r.end());
return l;
}
void solve() {
ll x;
cin >> x;
auto f = fact(x);
map<ll,int> cnt;
for(auto y : f){
cnt[y]++;
}
for(int i = 70; i >= 1; i--){
bool serve = true;
for(auto [a,b] : cnt){
serve &= b%i == 0;
}
if(!serve) continue;
ll div = 1;
ll eu = 1;
for(auto [a,b] : cnt){
ll d = b/i;
div *= d+1;
for(int k = 0; k < d; k++) eu *= a;
}
if(div == i){
cout << eu << '\n';
return;
}
}
cout << -1 << '\n';
}
signed main() {
ios::sync_with_stdio(false); cin.tie(0);
int t=1;
//cin >> t;
while(t--)
solve();
}
詳細信息
Test #1:
score: 100
Accepted
time: 2ms
memory: 3476kb
input:
15625
output:
25
result:
ok single line: '25'
Test #2:
score: 0
Accepted
time: 2ms
memory: 3456kb
input:
64000000
output:
20
result:
ok single line: '20'
Test #3:
score: 0
Accepted
time: 2ms
memory: 3428kb
input:
65536
output:
-1
result:
ok single line: '-1'
Test #4:
score: 0
Accepted
time: 0ms
memory: 3468kb
input:
1
output:
1
result:
ok single line: '1'
Test #5:
score: 0
Accepted
time: 2ms
memory: 3388kb
input:
10
output:
-1
result:
ok single line: '-1'
Test #6:
score: 0
Accepted
time: 2ms
memory: 3484kb
input:
100
output:
-1
result:
ok single line: '-1'
Test #7:
score: 0
Accepted
time: 2ms
memory: 3412kb
input:
10000
output:
10
result:
ok single line: '10'
Test #8:
score: 0
Accepted
time: 0ms
memory: 3472kb
input:
1000000000000000000
output:
100
result:
ok single line: '100'
Test #9:
score: 0
Accepted
time: 2ms
memory: 3428kb
input:
10372926089038969
output:
218089
result:
ok single line: '218089'
Test #10:
score: 0
Accepted
time: 2ms
memory: 3464kb
input:
10642944803293201
output:
10157
result:
ok single line: '10157'
Test #11:
score: 0
Accepted
time: 2ms
memory: 3392kb
input:
10646534823110209
output:
103182047
result:
ok single line: '103182047'
Test #12:
score: 0
Accepted
time: 2ms
memory: 3416kb
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: 1ms
memory: 3488kb
input:
1296
output:
6
result:
ok single line: '6'
Test #15:
score: 0
Accepted
time: 2ms
memory: 3464kb
input:
16
output:
-1
result:
ok single line: '-1'
Test #16:
score: 0
Accepted
time: 0ms
memory: 3480kb
input:
16277421889
output:
127583
result:
ok single line: '127583'
Test #17:
score: 0
Accepted
time: 2ms
memory: 3416kb
input:
169
output:
13
result:
ok single line: '13'
Test #18:
score: 0
Accepted
time: 2ms
memory: 3408kb
input:
1985984
output:
-1
result:
ok single line: '-1'
Test #19:
score: 0
Accepted
time: 0ms
memory: 3388kb
input:
2
output:
-1
result:
ok single line: '-1'
Test #20:
score: 0
Accepted
time: 1ms
memory: 3480kb
input:
205891132094649
output:
243
result:
ok single line: '243'
Test #21:
score: 0
Accepted
time: 2ms
memory: 3392kb
input:
25
output:
5
result:
ok single line: '5'
Test #22:
score: 0
Accepted
time: 1ms
memory: 3484kb
input:
2626114239841
output:
1273
result:
ok single line: '1273'
Test #23:
score: 0
Accepted
time: 3ms
memory: 3420kb
input:
26269395104446321
output:
12731
result:
ok single line: '12731'
Test #24:
score: 0
Accepted
time: 2ms
memory: 3400kb
input:
3
output:
-1
result:
ok single line: '-1'
Test #25:
score: 0
Accepted
time: 2ms
memory: 3420kb
input:
3596345248055296
output:
88
result:
ok single line: '88'
Test #26:
score: 0
Accepted
time: 2ms
memory: 3460kb
input:
36
output:
-1
result:
ok single line: '-1'
Test #27:
score: 0
Accepted
time: 2ms
memory: 3476kb
input:
4
output:
2
result:
ok single line: '2'
Test #28:
score: 0
Accepted
time: 2ms
memory: 3412kb
input:
4096
output:
8
result:
ok single line: '8'
Test #29:
score: 0
Accepted
time: 2ms
memory: 3468kb
input:
49
output:
7
result:
ok single line: '7'
Test #30:
score: 0
Accepted
time: 2ms
memory: 3500kb
input:
5
output:
-1
result:
ok single line: '-1'
Test #31:
score: 0
Accepted
time: 0ms
memory: 3416kb
input:
576460752303423488
output:
-1
result:
ok single line: '-1'
Test #32:
score: 0
Accepted
time: 2ms
memory: 3424kb
input:
581431415926321
output:
24112889
result:
ok single line: '24112889'
Test #33:
score: 0
Accepted
time: 2ms
memory: 3388kb
input:
6
output:
-1
result:
ok single line: '-1'
Test #34:
score: 0
Accepted
time: 1ms
memory: 3412kb
input:
64
output:
4
result:
ok single line: '4'
Test #35:
score: 0
Accepted
time: 2ms
memory: 3476kb
input:
656100000000
output:
30
result:
ok single line: '30'
Test #36:
score: 0
Accepted
time: 2ms
memory: 3408kb
input:
7
output:
-1
result:
ok single line: '-1'
Test #37:
score: 0
Accepted
time: 0ms
memory: 3416kb
input:
729
output:
9
result:
ok single line: '9'
Test #38:
score: 0
Accepted
time: 1ms
memory: 3408kb
input:
8
output:
-1
result:
ok single line: '-1'
Test #39:
score: 0
Accepted
time: 2ms
memory: 3408kb
input:
81
output:
-1
result:
ok single line: '-1'
Test #40:
score: 0
Accepted
time: 2ms
memory: 3404kb
input:
8527674378686464
output:
452
result:
ok single line: '452'
Test #41:
score: 0
Accepted
time: 2ms
memory: 3396kb
input:
9
output:
3
result:
ok single line: '3'
Test #42:
score: 0
Accepted
time: 0ms
memory: 3424kb
input:
982134461213542729
output:
994009
result:
ok single line: '994009'
Test #43:
score: 0
Accepted
time: 2ms
memory: 3400kb
input:
9992002399680016
output:
9998
result:
ok single line: '9998'
Test #44:
score: 0
Accepted
time: 1ms
memory: 3520kb
input:
999269311525198921
output:
-1
result:
ok single line: '-1'
Test #45:
score: 0
Accepted
time: 2ms
memory: 3408kb
input:
999949000866995087
output:
-1
result:
ok single line: '-1'
Test #46:
score: 0
Accepted
time: 2ms
memory: 3464kb
input:
999995482005103081
output:
-1
result:
ok single line: '-1'
Test #47:
score: 0
Accepted
time: 2ms
memory: 3408kb
input:
999999969999997921
output:
-1
result:
ok single line: '-1'
Test #48:
score: 0
Accepted
time: 2ms
memory: 3496kb
input:
999999999999999989
output:
-1
result:
ok single line: '-1'
Test #49:
score: 0
Accepted
time: 2ms
memory: 3404kb
input:
999999999999999999
output:
-1
result:
ok single line: '-1'