#include "triples.h"
#include <vector>
#include <algorithm>
using namespace std;
long long count_triples(std::vector<int> H) {
long long res = 0;
int n = H.size();
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> height = {H[i], H[j], H[k]};
vector<int> dist = {j - i, k - i, k - j};
sort(height.begin(), height.end());
sort(dist.begin(), dist.end());
if (height == dist) res++;
}
return res;
}
bool small_value = true;
for (int h : H)
if (h > 10) {
small_value = false;
break;
}
if (small_value) {
vector<vector<int>> pos(11); // pos[h]: tất cả vị trí có chiều cao h
for (int i = 0; i < n; ++i)
pos[H[i]].push_back(i);
for (int a = 1; a <= 10; ++a)
for (int b = 1; b <= 10; ++b)
for (int c = 1; c <= 10; ++c) {
vector<int> h = {a, b, c};
vector<int> d = {1, 1, 2};
sort(h.begin(), h.end());
sort(d.begin(), d.end());
if (h != d) continue;
const vector<int>& A = pos[a];
const vector<int>& B = pos[b];
const vector<int>& C = pos[c];
for (int j : B) {
int cnt_i = lower_bound(A.begin(), A.end(), j) - A.begin();
int cnt_k = C.end() - upper_bound(C.begin(), C.end(), j);
res += 1LL * cnt_i * cnt_k;
}
}
return res;
}
return 0;
}
std::vector<int> construct_range(int M, int K) {
return {1, 1, 2};
}
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