#include "triples.h"
#include <set>
using namespace std;
int checkTriple (vector<int> &H, int a, int b, int c) {
int n = H.size();
if (c < 0 || c >= n) return 0;
multiset<int> ds = {abs(b-a), abs(c-a), abs(c-b)};
multiset<int> hs = {H[a], H[b], H[c]};
return (ds == hs ? 1 : 0);
}
long long count_triples(std::vector<int> H) {
long long ans = 0;
int n = H.size();
for (int i = 0; i < n-1; i++) {
for (int j = i+1; j < n; j++) {
if (j < i+H[i])
ans += checkTriple(H, i, j, i+H[i]);
if (j+H[i] != i+H[i])
ans += checkTriple(H, i, j, j+H[i]);
if (i+H[i] != j+H[j] && j+H[i] != j+H[j])
ans += checkTriple(H, i, j, j+H[j]);
if (j < i+H[j] && i+H[i] != i+H[j] && j+H[i] != i+H[j] && j+H[j] != i+H[j])
ans += checkTriple(H, i, j, i+H[j]);
}
}
return ans;
}
std::vector<int> construct_range(int M, int K) {
vector<int> v = {8, 9, 16, 17, 7, 2, 16, 3, 1, 1, 6, 4, 18, 9, 8, 5, 9, 18, 17, 12};
return v;
}
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