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python/GESP/Level5/GESP202412/20241201.cpp

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2025-08-30 18:35:01 +08:00
#include <bits/stdc++.h>
using namespace std;
typedef long long LL;
/*
5^6= 5^1* 5^2 * 5^3
x=6 tmp=1 ans=1 -->x=6-1=5
x=5 tmp=2 ans=2 -->x=5-2=3
x=3 tmp=3 ans=3 -->x=3-3=0
*/
LL calc(LL x) {
int ans = 0;
for(int i=1;;i++){
if(x>=i){
ans++;
x-=i;
}else
break;
}
return ans;
}
int main() {
// cout << calc(4) << endl; // 2^4=16 --> 2+4 +8
LL n;
cin >> n;
LL ans = 0;
for (LL i = 2; i * i <= n; i++) {
if (n % i == 0) {
int cnt = 0;
while (n % i == 0) {
cnt++;
n /= i;
}
ans += calc(cnt);
}
}
if (n != 1)
ans += 1; // 剩余质数
cout << ans << "\n";
//return 0;
}