#include<bits/stdc++.h>
using namespace std;
#define ll long long
#define mod 998244353
#define mxn 1000
#define inf 1000000000000000001ll
vector<pair<ll,pair<ll, ll>>> g[100100];
int main()
{
    ios::sync_with_stdio(0);
    ll t = 1;
    //cin >> t;
    while(t--)
    {
        ll n, q;
        cin >> n >> q;
        ll a[n+1];
        for(int i = 1; i <= n; i++)
            cin >> a[i];
        for(int i = 0; i < q; i++)
        {
            ll aq, bq, cq;
            cin >> aq >> bq >> cq;
            if(aq==bq)
                bq++;
            if(aq==cq)
                cq--;
            if(bq>cq)
                continue;
            if(aq<bq)
                g[aq].push_back(make_pair(0,make_pair(bq, cq)));
            else if(aq>cq)
                g[aq].push_back(make_pair(1,make_pair(bq, cq)));
            else if(bq<aq&&aq<cq)
            {
                g[aq].push_back(make_pair(1,make_pair(bq, aq-1)));
                g[aq].push_back(make_pair(0,make_pair(aq+1, cq)));
            }
        }
        ll h[100100];
        for(int i = 1; i <= n; i++)
            h[i] = inf;
        h[1] = 0;
        set<ll> indx;
        for(int i = 2; i <= n; i++)
            indx.insert(i);
        set<pair<pair<ll, ll>,pair<ll, ll> > > qq;
        for(auto ch : g[1])
            qq.insert(make_pair(make_pair(ch.first,1),ch.second));
        while(qq.size())
        {
            pair<pair<ll, ll>,pair<ll, ll> > bg = *qq.begin();
            qq.erase(qq.begin());
            ll st = bg.second.first;
            ll en = bg.second.second;
            auto it = indx.lower_bound(st);
            while(it!=indx.end()&&(*it)<=en)
            {
                h[(*it)] = h[bg.first.second] + abs(a[bg.first.second]-a[(*it)]);
                for(auto ch : g[(*it)])
                    qq.insert(make_pair(make_pair(ch.first+bg.first.first,(*it)),ch.second));
                indx.erase(it);
                it = indx.lower_bound(st);
            }
        }
        for(int i = 1; i <= n; i++)
            if(h[i]==inf)
                cout << -1 << " ";
            else
                cout << h[i] << " ";
        cout << endl;
    }
    return 0;
}