#include "triples.h"
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define pb push_back
#define mp make_pair
#define pii pair<int, int>
#define fi first
#define se second
int n;
vector<int> v;
set<vector<int> > s;
bool good(int a, int b, int c) {
if(a < 1 || a > n || b < 1 || b > n || c < 1 || c > n) {
return false;
}
vector<int> v1 = {abs(a - b), abs(a - c), abs(b - c)};
vector<int> v2 = {v[a], v[b], v[c]};
sort(v1.begin(), v1.end());
sort(v2.begin(), v2.end());
vector<int> v3 = {a, b, c};
sort(v3.begin(), v3.end());
if(v1 == v2) {
s.insert(v3);
}
return (v1 == v2);
}
int count_triples(vector<signed> H) {
n = H.size();
v.assign(1 + n + 1, 0);
for(int i = 1; i <= n; i++) {
v[i] = H[i - 1];
}
for(int i = 1; i <= n; i++) {
for(int j = i + 1; j <= n; j++) {
good(i, j, i + v[i]);
good(i, j, i - v[i]);
good(i, j, i + v[j]);
good(i, j, i - v[j]);
good(i, j, j + v[i]);
good(i, j, j - v[i]);
good(i, j, j + v[j]);
good(i, j, j - v[j]);
}
}
return s.size();
}
vector<signed> construct_range(signed M, signed K) {
return {1, 1, 1};
}
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