#include "triples.h"
#include <bits/stdc++.h>
using namespace std;
#define m_p make_pair
#define all(x) (x).begin(),(x).end()
#define sz(x) ((int)(x).size())
#define fi first
#define se second
typedef long long ll;
mt19937 rnd(chrono::steady_clock::now().time_since_epoch().count());
mt19937 rnf(2106);
const int N = 200005;
int n;
int h[N];
int aa[3], bb[3];
bool stg(int i, int j, int k)
{
assert(1 <= i && i < j && j < k && k <= n);
aa[0] = h[i];
aa[1] = h[j];
aa[2] = h[k];
bb[0] = j - i;
bb[1] = k - j;
bb[2] = k - i;
sort(aa, aa + 3);
sort(bb, bb + 3);
return (aa[0] == bb[0] && aa[1] == bb[1] && aa[2] == bb[2]);
}
long long count_triples(std::vector<int> H)
{
n = sz(H);
for (int i = 1; i <= n; ++i)
h[i] = H[i - 1];
ll ans = 0;
for (int i = 1; i <= n; ++i)
{
int k = i + h[i];
if (k > n)
continue;
if (h[k] >= h[i])
continue;
int j1 = i + h[k];
if (stg(i, j1, k))
++ans;
int j2 = k - h[k];
if (j1 != j2 && stg(i, j2, k))
++ans;
}
for (int k = 1; k <= n; ++k)
{
int i = k - h[k];
if (i < 1)
continue;
if (h[i] >= h[k])
continue;
int j1 = k - h[i];
if (stg(i, j1, k))
++ans;
int j2 = i + h[i];
if (j1 != j2 && stg(i, j2, k))
++ans;
}
return ans;
}
std::vector<int> construct_range(int M, int K)
{
return {1, 1, 1};
}
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