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

const int N = 1e5;
const int LOGN = 18;
int n, q;
long long zysk[N + 7];
long long inf = 1.1e18;

vector <pair <int, long long>> G0[N + 7];
int par0[N + 7][LOGN];
long long len[N + 7];
int pre0[N + 7];
int pos0[N + 7];
int prem0[N + 7];
int posg = 0;
int preg = 0;

void dfs0(int v, int p) {
    par0[v][0] = p;
    prem0[v] = pre0[v] = ++preg;
    for(auto u : G0[v]) {
        if(u.first != p) {
            len[u.first] = u.second;
            dfs0(u.first, v);
            prem0[v] = max(prem0[v], prem0[u.first]);
        }
    }
    pos0[v] = ++posg;
}

const int M0 = (1 << LOGN);
long long D0[2 * M0];

void insert0(int a, int b, long long w) {
    a += M0;
    b += M0;
    D0[a] += w;
    if(a != b) D0[b] += w;
    for(; a / 2 != b / 2; a /= 2, b /= 2) {
        if(a % 2 == 0) D0[a + 1] += w;
        if(b % 2 == 1) D0[b - 1] += w;
    }
}

long long query0(int x) {
    x += M0;
    long long res = 0;
    for(; x > 0; x /= 2) res += D0[x];
    return res;
}

bool czyojciec(int u, int v) {
    return pre0[u] <= pre0[v] && pos0[u] >= pos0[v];
}

int lca(int a, int b) {
    if(czyojciec(a, b)) return a;
    if(czyojciec(b, a)) return b;
    for(int j = LOGN - 1; j >= 0; --j) if(!czyojciec(par0[a][j], b)) a = par0[a][j];
    return par0[a][0];
}

long long odl(int a, int b) {
    int c = lca(a, b);
    return query0(pre0[a]) + query0(pre0[b]) - 2 * query0(pre0[c]);
}


const int M1 = (1 << 21);
long long D1[2 * M1];
long long W1[2 * M1];
int idv[2 * M1];

void insert1(int a, int b, long long w, int v = 1, int p = 0, int k = M1 - 1) {
    if(a <= p && k <= b) {
        D1[v] += w;
        return;
    }
    
    D1[2 * v] += D1[v];
    D1[2 * v + 1] += D1[v];
    D1[v] = 0;
    
    int s = (p + k) / 2;
    
    if(a <= s) insert1(a, b, w, 2 * v, p, s);
    if(s + 1 <= b) insert1(a, b, w, 2 * v + 1, s + 1, k);
    auto pom = max(make_pair(W1[2 * v] + D1[2 * v], idv[2 * v]), make_pair(W1[2 * v + 1] + D1[2 * v + 1], idv[2 * v + 1]));
    W1[v] = pom.first;
    idv[v] = pom.second;
} 

void insert1punkt(int x, long long w) {
    int v = x + M1;
    D1[v] += w;
    v /= 2;
    while(v > 0) {
        auto pom = max(make_pair(W1[2 * v] + D1[2 * v], idv[2 * v]), make_pair(W1[2 * v + 1] + D1[2 * v + 1], idv[2 * v + 1]));
        W1[v] = pom.first;
        idv[v] = pom.second;
        v /= 2;
    }
}

pair <long long, int> query1(int a, int b, int v = 1, int p = 0, int k = M1 - 1) {
    if(a <= p && k <= b) {
        return {D1[v] + W1[v], idv[v]};
    }
    
    D1[2 * v] += D1[v];
    D1[2 * v + 1] += D1[v];
    D1[v] = 0;
    
    int s = (p + k) / 2;
    pair <long long, int> res = {-inf, 0};
    
    if(a <= s) res = max(res, query1(a, b, 2 * v, p, s));
    if(s + 1 <= b) res = max(res, query1(a, b, 2 * v + 1, s + 1, k));
    auto pom = max(make_pair(W1[2 * v] + D1[2 * v], idv[2 * v]), make_pair(W1[2 * v + 1] + D1[2 * v + 1], idv[2 * v + 1]));
    W1[v] = pom.first;
    idv[v] = pom.second;
    return res;
}

struct rozklad {
    int kor;
    int pocz;
    int kon;
    int par;
    rozklad(int kor, int pocz, int kon, int par) : kor(kor), pocz(pocz), kon(kon), par(par) {}
};

vector <rozklad> tab[N + 7];

int odw[N + 7];
int roz[N + 7];
int pre1[N + 7];
int prem1[N + 7];

void dfs1(int v, int p) {
    roz[v] = 1;
    for(auto u : G0[v]) {
        if(u.first != p && !odw[u.first]) {
            dfs1(u.first, v);
            roz[v] += roz[u.first];
        }
    }
}       

void dfs2(int v, int p, long long od, int ov) {
    prem1[v] = pre1[v] = ++preg;
    idv[M1 + preg] = -v;
    W1[M1 + pre1[v]] = zysk[v] - od;
    
    for(auto u : G0[v]) {
        if(u.first != p && !odw[u.first]) {
            dfs2(u.first, v, od + u.second, ov);
            prem1[v] = max(prem1[v], prem1[u.first]);
        }
    }
    
    tab[v].push_back(rozklad(ov, pre1[v], prem1[v], p));
}

int findcentr(int v) {
    int p = 0;
    int rv = roz[v];
    while(1) {
        int g = 0;
        for(auto u : G0[v]) {
            if(u.first != p && !odw[u.first] && 2 * roz[u.first] > rv) {
                g = u.first;
            }
        }
        
        if(g == 0) return v;
        p = v;
        v = g;
    }
}

void CD(int v) {
    dfs1(v, 0);
    v = findcentr(v);
    odw[v] = 1;
    dfs2(v, 0, 0, v);
    for(auto u : G0[v]) {
        if(!odw[u.first]) CD(u.first);
    }
}   

int main() {
    ios_base::sync_with_stdio(0);
    cin >> n >> q;
    for(int i = 1; i <= n; ++i) cin >> zysk[i];
    
    for(int i = 2; i <= n; ++i) {
        int a, b;
        long long l;
        cin >> a >> b >> l;
        G0[a].push_back({b, l});
        G0[b].push_back({a, l});
    }   
    
    dfs0(1, 1);
    
    for(int i = 2; i <= n; ++i) insert0(pre0[i], prem0[i], len[i]);
    for(int j = 1; j < LOGN; ++j) for(int i = 1; i <= n; ++i) par0[i][j] = par0[par0[i][j - 1]][j - 1];
    
    for(int i = 0; i < 2 * M1; ++i) W1[i] = -inf;
    
    preg = posg = 0;
    CD(1);
    
    for(int i = M1 - 1; i > 0; --i) {
        pair <long long, int> pom = max(make_pair(W1[2 * i], idv[2 * i]), make_pair(W1[2 * i + 1], idv[2 * i + 1]));
        W1[i] = pom.first;
        idv[i] = pom.second;
    }
    int vp = 1;
    
    while(q--) {
        int ti;
        cin >> ti;
        if(ti == 1) {
            int v;
            long long nz;
            cin >> v >> nz;
            
            for(auto u : tab[v]) {
                insert1punkt(u.pocz, nz - zysk[v]);    
            }
           
            zysk[v] = nz;
        }
        else {
            int a, b;
            long long l;
            cin >> a >> b >> l;
            if(a != par0[b][0]) swap(a, b);
            insert0(pre0[b], prem0[b], l - len[b]);
            
            for(auto u : tab[b]) {
                if(a == u.par) insert1(u.pocz, u.kon, -l + len[b]);
            }
            
            for(auto u : tab[a]) {
                if(b == u.par) insert1(u.pocz, u.kon, -l + len[b]);
            }
            
            len[b] = l;
        }
        
        int g = 0;
        long long nz = -inf;
        
        for(auto u : tab[vp]) {
            insert1punkt(u.pocz, -inf);
            
            int kor = u.kor;
            auto re = query1(tab[kor].back().pocz, tab[kor].back().kon);
            long long zz = re.first - odl(vp, kor);
            
            if(zz > nz) {
                nz = zz;
                g = -re.second;
            }
            else if(zz == nz && -re.second < g) {
                g = -re.second;
            }
        
            insert1punkt(u.pocz, inf);
        }
        vp = g;
        cout << vp << ' ';
    }
    cout << endl;
    return 0;
}