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#include <bits/stdc++.h>
using namespace std;

#define fi first
#define se second
#define mp make_pair
typedef long long ll;
const ll inf = 2e18 + 1000;
typedef pair<ll, int> T;

struct tree
{
    int size;
    vector<ll> sum;
    vector<pair<T, T>> mn;
    
    void update(int v)
    {
        const auto &a = mn[v*2], &b = mn[v*2+1];
        auto &c = mn[v];
        if(a.se <= b.fi) c = a;
        else if(b.se <= a.fi) c = b;
        else if(a.fi <= b.fi) c = mp(a.fi, b.fi);
        else c = mp(b.fi, a.fi);
        mn[v].fi.fi += sum[v];
        mn[v].se.fi += sum[v];
    }
    
    int pa, pb;
    ll pk;
    void _insert(int v, int a, int b)
    {
        if(a >= pb || b <= pa) return;
        if(a >= pa && b <= pb)
        {
            sum[v] += pk;
            mn[v].fi.fi += pk;
            mn[v].se.fi += pk;
            return;
        }
        _insert(v * 2, a, (a + b) / 2);
        _insert(v * 2 + 1, (a + b) / 2, b);
        update(v);
    }
    
    void init(vector<int> nrs, vector<ll> vals)
    {
        int n = nrs.size();
        size = 1;
        while(size < n) size *= 2;
        sum.resize(size * 2);
        mn.resize(size * 2);
        for(int i = 0; i < nrs.size(); i++)
        {
            mn[i+size] = mp(mp(vals[i], nrs[i]), mp(inf, 0));
            sum[i+size] = vals[i];
        }
        for(int i = nrs.size(); i < size; i++)
        {
            mn[i+size] = mp(mp(inf, 0), mp(inf, 0));
            sum[i+size] = inf;
        }
        for(int i = size - 1; i > 0; i--)
            update(i);
    }
    
    void insert(int a, int b, ll k)
    {
        pa = a; pb = b; pk = k;
        _insert(1, 0, size);
    }
    
    pair<T, T> best() { return mn[1]; }
    
    ll get(int p)
    {
        p += size;
        ll ans = 0;
        while(p > 0)
        {
            ans += sum[p];
            p >>= 1;
        }
        return ans;
    }
};

const int N = 100001, LOGN = 17;
vector<pair<int, ll>> g[N];
ll tab[N];
int par[N];
int rnr[N];

int in[LOGN][N];
int out[LOGN][N];
int rt[LOGN][N];
tree t[N];

int size[N];
void dfs1(int v, int prev)
{
    size[v] = 1;
    for(auto u: g[v])
        if(!par[u.fi] && u.fi != prev)
        {
            dfs1(u.fi, v);
            size[v] += size[u.fi];
        }
}

int centroid(int v, int prev, int n)
{
    for(auto u: g[v])
        if(!par[u.fi] && u.fi != prev && size[u.fi] * 2 > n)
            return centroid(u.fi, v, n);
    return v;
}

int clck;
ll dist[N];
vector<int> vec;
void dfs2(int v, int prev, int nr, ll d)
{
    dist[v] = d;
    in[nr][v] = clck++;
    vec.push_back(v);
    for(auto u: g[v])
        if(!par[u.fi] && u.fi != prev)
            dfs2(u.fi, v, nr, d + u.se);
    out[nr][v] = clck;
}

void decompose(int start, int prev, int nr)
{
    dfs1(start, 0);
    int n = size[start];
    int r = centroid(start, 0, n);
    clck = 0;
    vec.clear();
    dfs2(r, 0, nr, 0);
    vector<int> nrs(n);
    vector<ll> vals(n);
    for(auto x: vec)
    {
        rt[nr][x] = r;
        int i = in[nr][x];
        nrs[i] = x;
        vals[i] = dist[x] - tab[x];
    }
    t[r].init(nrs, vals);
    par[r] = prev;
    rnr[r] = nr;
    for(auto u: g[r])
        if(!par[u.fi]) decompose(u.fi, r, nr + 1);
}

map<pair<int, int>, ll> e;

int find_next(int v)
{
    T ans(inf, 0);
    for(int i = rnr[v], r = v; i >= 0; i--, r = par[r])
    {
        ll dist = t[r].get(in[i][v]);
        auto best = t[r].best();
        auto b = best.fi.se == v ? best.se : best.fi;
        ans = min(ans, mp(b.fi + dist, b.se));
    }
    return ans.se;
}

int main()
{
    int n, q;
    scanf("%d %d", &n, &q);
    for(int i = 1; i <= n; i++)
        scanf("%lld", &tab[i]);
    for(int i = 1; i < n; i++)
    {
        int a, b;
        ll c;
        scanf("%d %d %lld", &a, &b, &c);
        g[a].emplace_back(b, c);
        g[b].emplace_back(a, c);
        if(a > b) swap(a, b);
        e[mp(a, b)] = c;
    }
    decompose(1, -1, 0);
    int cur = 1;
    while(q--)
    {
        int type;
        scanf("%d", &type);
        if(type == 1)
        {
            int v;
            ll d;
            scanf("%d %lld", &v, &d);
            ll delta = d - tab[v];
            tab[v] = d;
            for(int i = rnr[v], r = v; i >= 0; i--, r = par[r])
                t[r].insert(in[i][v], in[i][v] + 1, -delta);
        }
        else
        {
            int u, v;
            ll d;
            scanf("%d %d %lld", &u, &v, &d);
            if(u > v) swap(u, v);
            ll delta = d - e[mp(u,v)];
            e[mp(u,v)] = d;
            for(int i = rnr[v], r = v; i >= 0; i--, r = par[r])
            {
                if(rt[i][u] != r) continue;
                int a = in[i][u] > in[i][v] ? u : v;
                t[r].insert(in[i][a], out[i][a], delta);
            }
        }
        cur = find_next(cur);
        printf("%d ", cur);
    }
    puts("");
}