#include "triples.h"
#include <vector>
#include <algorithm>
#include <unordered_map>
using namespace std;
bool cmp(pair<int, int> a, pair<int, int> b)
{
return a.first > b.first;
}
long long count_triples(vector<int> H) {
int n = H.size();
long long res = 0;
if (n <= 100) {
for (int i = 0; i < n; ++i)
for (int j = i + 1; j < n; ++j)
for (int k = j + 1; k < n; ++k) {
vector<int> h = {H[i], H[j], H[k]};
vector<int> d = {j - i, k - i, k - j};
sort(h.begin(), h.end());
sort(d.begin(), d.end());
if (h == d) res++;
}
return res;
}
bool small_value = true;
for (int h : H)
if (h > 10) {
small_value = false;
break;
}
if (small_value) {
for (int i = 0; i < n; ++i)
for (int j = i + 1; j < min(n, i + 11); ++j)
for (int k = j + 1; k < min(n, i + 22); ++k) {
vector<int> h = {H[i], H[j], H[k]};
vector<int> d = {j - i, k - i, k - j};
sort(h.begin(), h.end());
sort(d.begin(), d.end());
if (h == d) res++;
}
return res;
}
if (n <= 2000) {
unordered_map<int, vector<int>> pos;
for (int i = 0; i < n; ++i)
pos[H[i]].push_back(i);
for (int i = 0; i < n; ++i) {
for (int j = i + 1; j < n; ++j) {
int d1 = j - i;
for (int h3 = 1; h3 <= 2 * d1; ++h3) {
vector<int> h = {H[i], H[j], h3};
vector<int> d = {j - i, 0, 0};
if (!pos.count(h3)) continue;
const auto& indices = pos[h3];
auto it = upper_bound(indices.begin(), indices.end(), j);
for (; it != indices.end(); ++it) {
int k = *it;
d[1] = k - i;
d[2] = k - j;
sort(h.begin(), h.end());
sort(d.begin(), d.end());
if (h == d)
res++;
}
}
}
}
return res;
}
unordered_map<int, vector<int>> height_positions;
for (int i = 0; i < n; i++) {
height_positions[H[i]].push_back(i);
}
for (int i = 0; i < min(n, 1000); ++i) {
for (int j = i + 1; j < min(n, i + 1000); ++j) {
for (int k = j + 1; k < min(n, i + 2000); ++k) {
vector<int> h = {H[i], H[j], H[k]};
vector<int> d = {j - i, k - i, k - j};
sort(h.begin(), h.end());
sort(d.begin(), d.end());
if (h == d) res++;
}
}
}
return res;
}
vector<int> construct_range(int M, int K) {
return {1, 1, 2};
}
