#include <iostream>
#include <string>
#include <vector>
#include <algorithm>
#include <utility>
#include <map>
#include <set>
#include <queue>
#include <iomanip>
#include <cmath>
#include <atcoder/all>
using namespace std;
using namespace atcoder;
typedef long long ll;
#define rep(i,n) for (int i = 0; i < int(n);i++)

int main(){
  int n,m;
  cin >> n >> m;
  vector<ll> l(n);
  vector<ll> f(m),b(m),w(m);
  for (int i = 0; i < n;i++){
    cin >> l[i];
  }
  for (int i = 0; i < m;i++){
    cin >> f[i] >> b[i] >> w[i];
  }
  ll ans = 0;
  for (int i = 0; i < m;i++){
    cout << ans << endl;
    auto itr = lower_bound(l.begin(),l.end(),f[i]);
    if (*itr == f[i]){
      ans += w[i];
      continue;
    }
    else if (itr == l.end()){
      ll diff = abs(f[i]-*(l.rbegin()));
      ans += max({b[i],w[i]-diff});
      continue;
    }
    else if (itr == l.begin()){
      ll diff = abs(f[i]-*(l.begin()));
      ans += max(b[i],w[i]-diff);
      continue;
    }
    else{
      ll diff1 = abs(f[i]-*itr),diff2 = abs(f[i]-*(--itr));
      ll val = b[i];      
      ll val1 = w[i]-diff1,val2 = w[i]-diff2;
      ans += max({val,val1,val2});
    }
  }
  cout << ans << endl;

  return 0;
}