// Source: https://usaco.guide/general/io
#include <bits/stdc++.h>
#include "triples.h"
using namespace std;
vector<int> v;
map<vector<int>,int>mp;
int is_triple(vector<int>g){
  sort(g.begin(),g.end());
  if(mp[g]||(g[0]==g[1]&&g[0]!=g[2]&&g[1]!=g[1]))return 0;
  mp[g]++;
  vector<int>a,b;
  a={g[1]-g[0],g[2]-g[0],g[2]-g[1]};
  b={v[g[0]],v[g[1]],v[g[2]]};
  sort(a.begin(),a.end());
  sort(b.begin(),b.end());
  return (int)(a==b);
}
long long count_triples(vector<int> hsh) {
    v=hsh;
    int ans=0;
    int n=v.size();
    for(int i=0;i<n;i++){
        for(int j=i+1;j<n;j++){
              ans+=is_triple({i,j,i+v[i]});
              ans+=is_triple({i,j,j+v[i]});
              ans+=is_triple({i,j,i+v[j]});
              ans+=is_triple({i,j,j+v[j]});
              ans+=is_triple({i,j,i-v[i]});
              ans+=is_triple({i,j,j-v[i]});
              ans+=is_triple({i,j,i-v[j]});
              ans+=is_triple({i,j,j-v[j]});
             
            
        }
    }return ans;
}
vector<int> construct_range(int M, int K) {
  return {1, 1, 1};
}
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