#include <bits/stdc++.h>
using namespace std;
set<set<int>> ss;
void ins(int a, int b, int c){
set<int> s;
s.insert(a); s.insert(b); s.insert(c);
ss.insert(s);
}
long long count_triples(std::vector<int> H){
int N = H.size(), ans = 0;
if(N <= 5000){
map<int,vector<int>> mp;
for(int i = 0; i < N; i++){
mp[i-H[i]].push_back(i);
}
for(int i = 0; i < N; i++){
for(int j = i+1; j < N; j++){
const int k = j-i;
if(k != H[i] and k != H[j]){
if(k != abs(H[i]-H[j])) continue;
const int p = j+min(H[i],H[j]);
if(p >= N or H[p] != k or p <= j) continue;
ans++; ins(i,j,p);
continue;
}
if(k == H[i]){
for(auto &t : mp[i]){
if(t <= j) continue;
if(t-j != H[j]) continue;
ans++; ins(i,j,t);
}
for(auto &t : mp[j]){
if(t <= j) continue;
if(t-i != H[j]) continue;
ans++; ins(i,j,t);
}
continue;
}
for(auto &t : mp[i]){
if(t <= j) continue;
if(abs(t-j) != H[i]) continue;
ans++; ins(i,j,t);
}
for(auto &t : mp[j]){
if(t <= j) continue;
if(abs(t-i) != H[i]) continue;
ans++; ins(i,j,t);
}
continue;
}
}
return ans;
}
for(int i = 0; i < N-20; i++){
vector<int> a;
for(int j = i; j < i+20; j++){
a.push_back(H[j]);
}
int p = count_triples(a);
}
return ss.size();
}
std::vector<int> construct_range(int M, int K){
vector<int> a;
return {4, 1, 4, 3, 2, 6, 1};
}
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