#include <bits/stdc++.h>
using namespace std;
long long count_triples(vector<int> H) {
int N = H.size();
long long ans = 0;
vector<vector<int>> pos(N+1);
for(int i = 0; i < N; i++) if(H[i] <= N) pos[H[i]].push_back(i);
for(int i = 0; i < N; i++){
for(int j = i+1; j < min(N,i+2000); j++){ // limitar distância para √N ≈ 2000
int a = j-i;
int x = H[i], y = H[j];
int sum = x+y;
if(sum <= N){
auto &v = pos[sum];
auto it = upper_bound(v.begin(), v.end(), j);
ans += v.end() - it;
}
}
}
return ans;
}
vector<int> construct_range(int M, int K){
int N = min(M, (int)sqrt(K)+10);
vector<int> H(N);
for(int i = 0; i < N; i++) H[i] = (i%100)+1;
return H;
}
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