#include<bits/stdc++.h>
#define pb push_back
#define ll long long
#define popb pop_back
#define all(A) A.begin(),A.end()
#define rall(A) A.rbegin(),A.rend()
#define dic unordered_map
#define bpc __builtin_popcountll//numero de bits para long long
#define bclz __builtin_clzll//leading zeros para ll
#define max_bit(A) 31-__builtin_clz(A)
using namespace std;
int main(){
ios::sync_with_stdio(false);
cin.tie(0);
ll n,p,k;
cin>>n>>p>>k;
vector<ll> a(n);
map<ll,ll> f;
ll ans=0;
for(int i=0;i<n;i++){
cin>>a[i];
ll v=a[i]*a[i]%p*a[i]%p*a[i]%p-k*a[i]%p;
v=(v%p+p)%p;
ans+=f[v];
f[v]++;
}
cout<<ans<<"\n";
return 0;
// you should actually read the stuff at the bottom
}
/* stuff you should look for
* int overflow, array bounds
* bitwise and boolean operations
* special cases (n=1?)
* do smth instead of nothing and stay organized
* WRITE STUFF DOWN
* DON'T GET STUCK ON ONE APPROACH
*/
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967. Numbers With Same Consecutive Differences | 957. Prison Cells After N Days |
946. Validate Stack Sequences | 921. Minimum Add to Make Parentheses Valid |
881. Boats to Save People | 497. Random Point in Non-overlapping Rectangles |
528. Random Pick with Weight | 470. Implement Rand10() Using Rand7() |
866. Prime Palindrome | 1516A - Tit for Tat |
622. Design Circular Queue | 814. Binary Tree Pruning |
791. Custom Sort String | 787. Cheapest Flights Within K Stops |
779. K-th Symbol in Grammar | 701. Insert into a Binary Search Tree |
429. N-ary Tree Level Order Traversal | 739. Daily Temperatures |
647. Palindromic Substrings | 583. Delete Operation for Two Strings |
518. Coin Change 2 | 516. Longest Palindromic Subsequence |
468. Validate IP Address | 450. Delete Node in a BST |