[Kick Start 2022 Round B] Palindromic Factors

Palindromic Factors

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#include <bits/stdc++.h>

#pragma optimization_level 3
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math,O3")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx")
#pragma GCC optimize("Ofast")//Comment optimisations for interactive problems (use endl)
#pragma GCC target("avx,avx2,fma")
#pragma GCC optimization ("unroll-loops")

#define MAX_N 2020
#define ll long long
#define pll pair<ll, ll>
#define vpll vector<pll>
#define vll vector<ll>
#define vvll vector<vll>
#define all(a) begin(a), end(a)
using namespace std;
unordered_map<ll, bool> cache;

bool palindrome(ll n) {
if(cache.count(n))
return cache[n];
string s = to_string(n);
ll l = 0, r = s.length() - 1;
while(l < r) {
if(s[l++] != s[r--])
return cache[n] = false;
}
return cache[n] = true;
}

ll solve(ll& n) {
ll res = 0, sq = sqrt(n);
for(ll i = 1; i <= sq; i++) {
if(n % i == 0) {
res += palindrome(n / i);
if(i * i != n)
res += palindrome(i);
}
}

return res;
}

int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.setf(ios::fixed);
cout.precision(6);
ll tc, n;
cin>>tc;
for(ll i = 1; i <= tc; i++) {
cin>>n;
cout<<"Case #"<<i<<": "<<solve(n)<<'\n';
}

return 0;
}
Author: Song Hayoung
Link: https://songhayoung.github.io/2022/04/24/PS/Google/palindromic-factors/
Copyright Notice: All articles in this blog are licensed under CC BY-NC-SA 4.0 unless stating additionally.