#include "triples.h"
#include <bits/stdc++.h>
#define pb push_back
#define fst first
#define snd second
#define fore(i,a,b) for(ll i=a,ioi=b;i<ioi;i++)
#define SZ(x) ((ll)x.size())
#define ALL(x) x.begin(),x.end()
#define mset(a,v) memset((a),(v),sizeof(a))
#define imp(v) {for(auto i:v)cout<<i<<" ";cout<<"\n";}
using namespace std;
typedef long long ll;
typedef pair<ll,ll> ii;
typedef vector<ll> vv;
long long count_triples(vector<int> __h) {
ll n=SZ(__h);
vv h;
fore(i,0,n)h.pb(__h[i]);
ll fg=1;
fore(i,0,n-1)fg&=h[i]<=h[i+1];
set<vv> all;
auto good=[&](vv s){
assert(SZ(s)==3);
vector<ll> ds,hs;
fore(i,0,3)fore(j,i+1,3)ds.pb(abs(s[i]-s[j]));
fore(i,0,3)hs.pb(h[s[i]]);
sort(ALL(hs));
sort(ALL(ds));
return ds==hs;
};
auto eval=[&](ll i, ll j, ll k){
vv s={i,j,k}; sort(ALL(s));
if(s[0]==s[1]||s[1]==s[2])return;
if(s[0]<0||s[2]>=n)return;
if(good(s))all.insert(s);
};
auto doit=[&](ll i, ll j){
if(j<0||j>=n)return;
vv ind={i,j};
fore(wd,0,2)fore(wf,0,2)fore(ws,0,2){
ll d=h[ind[wd]];
ll f=ind[wf];
ll s=ws?1:-1;
ll k=f+s*d;
eval(i,j,k);
}
};
fore(i,0,n)doit(i,i+h[i]),doit(i,i-h[i]);
if(fg)return SZ(all);
// faltan las otras
fore(i,0,n){
ll b=h[i];
fore(j,max(0ll,i-b+1),i){
eval(j,i,j+b);
}
}
return SZ(all);
}
vector<int> construct_range(int M, int K) {
ll n=M;
vv period={1,2};
vector<int> a(n);
fore(i,0,n){
a[i]=period[i%SZ(period)];
}
return a;
}
