//#pragma GCC optimize("Ofast,unroll-loops")
//#pragma GCC target("avx2,tune=native")
#include <bits/stdc++.h>
using namespace std;
#define file "fakernum"
#define ff(i,a,b) for(auto i=(a); i<=(b); ++i)
#define ffr(i,b,a) for(auto i=(b); i>=(a); --i)
#define nl "\n"
#define ss " "
#define pb emplace_back
#define fi first
#define se second
#define sz(s) (int)(s).size()
#define all(s) (s).begin(), (s).end()
#define ms(a,x) memset(a, x, sizeof(a))
#define cn continue
#define re exit(0)
typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
typedef vector<int> vi;
typedef vector<ll> vll;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
typedef vector<pii> vpii;
typedef vector<pll> vpll;
const int mod=1e9+7;
const int maxn=1e5+15;
const ll inf=4e18;
const ll LIMV = 10000000000000000LL;
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
ll ran(ll l, ll r){ return uniform_int_distribution<ll>(l,r)(rng); }
inline void rf(){
ios_base::sync_with_stdio(false);
cin.tie(nullptr); cout.tie(nullptr);
if(fopen(file".inp","r")){
freopen(file".inp","r",stdin); freopen(file".out","w",stdout);
}
}
template<typename T> inline void addm(T &x, const T &y){ x+=y; if(x>=mod) x-=mod; if(x<0) x+=mod; }
template<typename T> inline bool maxi(T &a, T b){ if(a>=b) return 0; a=b; return 1; }
template<typename T> inline bool mini(T &a, T b){ if(a<=b) return 0; a=b; return 1; }
int n,q;
ll a[maxn];
vi g[maxn];
int par[maxn], h[maxn], heavy[maxn], head[maxn], st[maxn], ed[maxn], siz[maxn], timer_=0;
vll spev;
unordered_set<ll> spes;
inline string todecstr(ll x){
if(x==0) return "0";
string s; while(x){ s+=char('0'+(x%10)); x/=10; } reverse(all(s)); return s;
}
inline long long palsub(const string &s){
int m=sz(s);
long long ans=0;
ff(c,0,m-1){
int l=c, r=c;
while(l>=0 && r<m && s[l]==s[r]){ ++ans; --l; ++r; }
}
ff(c,0,m-2){
int l=c, r=c+1;
while(l>=0 && r<m && s[l]==s[r]){ ++ans; --l; ++r; }
}
return ans;
}
inline bool valid(ll x){
if(x<=0) return 0;
string s=todecstr(x);
int c3=0,c6=0;
for(char c:s){
if(c=='3') ++c3;
else if(c=='6') ++c6;
else return 0;
}
if(c3!=c6) return 0;
long long mau=1LL*sz(s)*(sz(s)+1)/2;
long long tu=palsub(s);
return tu*2>mau;
}
void gen(ll x){
if(x>LIMV) return;
if(x!=0 && valid(x)) spev.pb(x);
if(x==0){ gen(3); gen(6); }
else{
if(x<=LIMV/10){ gen(x*10+3); gen(x*10+6); }
}
}
int dfs1(int u, int p){
par[u]=p; siz[u]=1; int mx=0; heavy[u]=0;
for(int v:g[u]) if(v!=p){
h[v]=h[u]+1;
int s=dfs1(v,u);
siz[u]+=s;
if(s>mx){ mx=s; heavy[u]=v; }
}
return siz[u];
}
void dfs2(int u, int hd){
head[u]=hd; st[u]=++timer_;
if(heavy[u]) dfs2(heavy[u], hd);
for(int v:g[u]) if(v!=par[u] && v!=heavy[u]) dfs2(v, v);
ed[u]=timer_;
}
struct BLK {
int N,B,NB;
vll val, tag;
vector<unordered_map<ll,int>> freq;
inline int bid(int i) const { return (i-1)/B; }
inline int bl(int b) const { return b*B+1; }
inline int br(int b) const { return min(N, (b+1)*B); }
void init(int n, int B_=512){
N=n; B=max(256,B_); NB=(N+B-1)/B;
val.assign(N+1,0); tag.assign(NB,0);
freq.assign(NB, {});
}
void build(const vll &base){
ff(i,1,N) val[i]=base[i];
ff(b,0,NB-1){
freq[b].clear();
ff(i,bl(b),br(b)) ++freq[b][val[i]];
}
}
void range_add(int l, int r, ll x){
if(l>r) return;
int blid=bid(l), brid=bid(r);
if(blid==brid){
auto &F=freq[blid];
ff(i,l,r){
ll oldv=val[i];
auto it=F.find(oldv);
if(it!=F.end()){ if(--(it->se)==0) F.erase(it); }
val[i]=oldv+x;
++F[val[i]];
}
return;
}
{
auto &F=freq[blid];
ff(i,l,br(blid)){
ll oldv=val[i];
auto it=F.find(oldv);
if(it!=F.end()){ if(--(it->se)==0) F.erase(it); }
val[i]=oldv+x;
++F[val[i]];
}
}
ff(b,blid+1,brid-1) tag[b]+=x;
{
auto &F=freq[brid];
ff(i,bl(brid),r){
ll oldv=val[i];
auto it=F.find(oldv);
if(it!=F.end()){ if(--(it->se)==0) F.erase(it); }
val[i]=oldv+x;
++F[val[i]];
}
}
}
long long range_cnt(int l, int r) const{
if(l>r) return 0;
long long ans=0;
int blid=bid(l), brid=bid(r);
if(blid==brid){
ll tg=tag[blid];
ff(i,l,r){
ll realv=val[i]+tg;
if(spes.find(realv)!=spes.end()) ++ans;
}
return ans;
}
{
ll tg=tag[blid];
ff(i,l,br(blid)){
ll realv=val[i]+tg;
if(spes.find(realv)!=spes.end()) ++ans;
}
}
ff(b,blid+1,brid-1){
ll tg=tag[b];
const auto &F=freq[b];
for(const auto &kv:F){
ll realv=kv.fi+tg;
if(spes.find(realv)!=spes.end()) ans+=kv.se;
}
}
{
ll tg=tag[brid];
ff(i,bl(brid),r){
ll realv=val[i]+tg;
if(spes.find(realv)!=spes.end()) ++ans;
}
}
return ans;
}
} T;
inline void upd_path(int u, int v, ll x){
while(head[u]!=head[v]){
if(h[head[u]]<h[head[v]]) swap(u,v);
T.range_add(st[head[u]], st[u], x);
u=par[head[u]];
}
if(h[u]>h[v]) swap(u,v);
T.range_add(st[u], st[v], x);
}
inline long long get_path(int u, int v){
long long ans=0;
while(head[u]!=head[v]){
if(h[head[u]]<h[head[v]]) swap(u,v);
ans+=T.range_cnt(st[head[u]], st[u]);
u=par[head[u]];
}
if(h[u]>h[v]) swap(u,v);
ans+=T.range_cnt(st[u], st[v]);
return ans;
}
inline long long get_sub(int u){
return T.range_cnt(st[u], ed[u]);
}
signed main(){
rf();
cin>>n>>q;
ff(i,1,n) cin>>a[i];
ff(i,1,n-1){
int u,v; cin>>u>>v;
g[u].pb(v); g[v].pb(u);
}
dfs1(1,0); dfs2(1,1);
vll base(timer_+1,0);
ff(i,1,n) base[st[i]]=a[i];
gen(0);
sort(all(spev)); spev.erase(unique(all(spev)), spev.end());
spes.reserve(spev.size()*2+7);
for(ll v:spev) spes.insert(v);
T.init(timer_,512);
T.build(base);
while(q--){
int op; cin>>op;
if(op==1){
int u,v; ll x; cin>>u>>v>>x;
upd_path(u,v,x);
}else if(op==2){
int u,v; cin>>u>>v;
cout<<get_path(u,v)<<nl;
}else{
int u; cin>>u;
cout<<get_sub(u)<<nl;
}
}
re;
}
//#pragma GCC optimize("Ofast,unroll-loops")
//#pragma GCC target("avx2,tune=native")
#include <bits/stdc++.h>
using namespace std;

#define file "fakernum"
#define ff(i,a,b) for(auto i=(a); i<=(b); ++i)
#define ffr(i,b,a) for(auto i=(b); i>=(a); --i)
#define nl "\n"
#define ss " "
#define pb emplace_back
#define fi first
#define se second
#define sz(s) (int)(s).size()
#define all(s) (s).begin(), (s).end()
#define ms(a,x) memset(a, x, sizeof(a))
#define cn continue
#define re exit(0)

typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
typedef vector<int> vi;
typedef vector<ll> vll;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
typedef vector<pii> vpii;
typedef vector<pll> vpll;

const int mod=1e9+7;
const int maxn=1e5+15;
const ll inf=4e18;
const ll LIMV = 10000000000000000LL;

mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
ll ran(ll l, ll r){ return uniform_int_distribution<ll>(l,r)(rng); }

inline void rf(){
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr); cout.tie(nullptr);
    if(fopen(file".inp","r")){
        freopen(file".inp","r",stdin); freopen(file".out","w",stdout);
    }
}

template<typename T> inline void addm(T &x, const T &y){ x+=y; if(x>=mod) x-=mod; if(x<0) x+=mod; }
template<typename T> inline bool maxi(T &a, T b){ if(a>=b) return 0; a=b; return 1; }
template<typename T> inline bool mini(T &a, T b){ if(a<=b) return 0; a=b; return 1; }

int n,q;
ll a[maxn];
vi g[maxn];
int par[maxn], h[maxn], heavy[maxn], head[maxn], st[maxn], ed[maxn], siz[maxn], timer_=0;

vll spev;
unordered_set<ll> spes;

inline string todecstr(ll x){
    if(x==0) return "0";
    string s; while(x){ s+=char('0'+(x%10)); x/=10; } reverse(all(s)); return s;
}
inline long long palsub(const string &s){
    int m=sz(s);
    long long ans=0;
    ff(c,0,m-1){
        int l=c, r=c;
        while(l>=0 && r<m && s[l]==s[r]){ ++ans; --l; ++r; }
    }
    ff(c,0,m-2){
        int l=c, r=c+1;
        while(l>=0 && r<m && s[l]==s[r]){ ++ans; --l; ++r; }
    }
    return ans;
}
inline bool valid(ll x){
    if(x<=0) return 0;
    string s=todecstr(x);
    int c3=0,c6=0;
    for(char c:s){
        if(c=='3') ++c3;
        else if(c=='6') ++c6;
        else return 0;
    }
    if(c3!=c6) return 0;
    long long mau=1LL*sz(s)*(sz(s)+1)/2;
    long long tu=palsub(s);
    return tu*2>mau;
}
void gen(ll x){
    if(x>LIMV) return;
    if(x!=0 && valid(x)) spev.pb(x);
    if(x==0){ gen(3); gen(6); }
    else{
        if(x<=LIMV/10){ gen(x*10+3); gen(x*10+6); }
    }
}

int dfs1(int u, int p){
    par[u]=p; siz[u]=1; int mx=0; heavy[u]=0;
    for(int v:g[u]) if(v!=p){
        h[v]=h[u]+1;
        int s=dfs1(v,u);
        siz[u]+=s;
        if(s>mx){ mx=s; heavy[u]=v; }
    }
    return siz[u];
}
void dfs2(int u, int hd){
    head[u]=hd; st[u]=++timer_;
    if(heavy[u]) dfs2(heavy[u], hd);
    for(int v:g[u]) if(v!=par[u] && v!=heavy[u]) dfs2(v, v);
    ed[u]=timer_;
}

struct BLK {
    int N,B,NB;
    vll val, tag;
    vector<unordered_map<ll,int>> freq;
    inline int bid(int i) const { return (i-1)/B; }
    inline int bl(int b) const { return b*B+1; }
    inline int br(int b) const { return min(N, (b+1)*B); }
    void init(int n, int B_=512){
        N=n; B=max(256,B_); NB=(N+B-1)/B;
        val.assign(N+1,0); tag.assign(NB,0);
        freq.assign(NB, {});
    }
    void build(const vll &base){
        ff(i,1,N) val[i]=base[i];
        ff(b,0,NB-1){
            freq[b].clear();
            ff(i,bl(b),br(b)) ++freq[b][val[i]];
        }
    }
    void range_add(int l, int r, ll x){
        if(l>r) return;
        int blid=bid(l), brid=bid(r);
        if(blid==brid){
            auto &F=freq[blid];
            ff(i,l,r){
                ll oldv=val[i];
                auto it=F.find(oldv);
                if(it!=F.end()){ if(--(it->se)==0) F.erase(it); }
                val[i]=oldv+x;
                ++F[val[i]];
            }
            return;
        }
        {
            auto &F=freq[blid];
            ff(i,l,br(blid)){
                ll oldv=val[i];
                auto it=F.find(oldv);
                if(it!=F.end()){ if(--(it->se)==0) F.erase(it); }
                val[i]=oldv+x;
                ++F[val[i]];
            }
        }
        ff(b,blid+1,brid-1) tag[b]+=x;
        {
            auto &F=freq[brid];
            ff(i,bl(brid),r){
                ll oldv=val[i];
                auto it=F.find(oldv);
                if(it!=F.end()){ if(--(it->se)==0) F.erase(it); }
                val[i]=oldv+x;
                ++F[val[i]];
            }
        }
    }
    long long range_cnt(int l, int r) const{
        if(l>r) return 0;
        long long ans=0;
        int blid=bid(l), brid=bid(r);
        if(blid==brid){
            ll tg=tag[blid];
            ff(i,l,r){
                ll realv=val[i]+tg;
                if(spes.find(realv)!=spes.end()) ++ans;
            }
            return ans;
        }
        {
            ll tg=tag[blid];
            ff(i,l,br(blid)){
                ll realv=val[i]+tg;
                if(spes.find(realv)!=spes.end()) ++ans;
            }
        }
        ff(b,blid+1,brid-1){
            ll tg=tag[b];
            const auto &F=freq[b];
            for(const auto &kv:F){
                ll realv=kv.fi+tg;
                if(spes.find(realv)!=spes.end()) ans+=kv.se;
            }
        }
        {
            ll tg=tag[brid];
            ff(i,bl(brid),r){
                ll realv=val[i]+tg;
                if(spes.find(realv)!=spes.end()) ++ans;
            }
        }
        return ans;
    }
} T;

inline void upd_path(int u, int v, ll x){
    while(head[u]!=head[v]){
        if(h[head[u]]<h[head[v]]) swap(u,v);
        T.range_add(st[head[u]], st[u], x);
        u=par[head[u]];
    }
    if(h[u]>h[v]) swap(u,v);
    T.range_add(st[u], st[v], x);
}
inline long long get_path(int u, int v){
    long long ans=0;
    while(head[u]!=head[v]){
        if(h[head[u]]<h[head[v]]) swap(u,v);
        ans+=T.range_cnt(st[head[u]], st[u]);
        u=par[head[u]];
    }
    if(h[u]>h[v]) swap(u,v);
    ans+=T.range_cnt(st[u], st[v]);
    return ans;
}
inline long long get_sub(int u){
    return T.range_cnt(st[u], ed[u]);
}

signed main(){
    rf();
    cin>>n>>q;
    ff(i,1,n) cin>>a[i];
    ff(i,1,n-1){
        int u,v; cin>>u>>v;
        g[u].pb(v); g[v].pb(u);
    }
    dfs1(1,0); dfs2(1,1);
    vll base(timer_+1,0);
    ff(i,1,n) base[st[i]]=a[i];
    gen(0);
    sort(all(spev)); spev.erase(unique(all(spev)), spev.end());
    spes.reserve(spev.size()*2+7);
    for(ll v:spev) spes.insert(v);
    T.init(timer_,512);
    T.build(base);
    while(q--){
        int op; cin>>op;
        if(op==1){
            int u,v; ll x; cin>>u>>v>>x;
            upd_path(u,v,x);
        }else if(op==2){
            int u,v; cin>>u>>v;
            cout<<get_path(u,v)<<nl;
        }else{
            int u; cin>>u;
            cout<<get_sub(u)<<nl;
        }
    }
    re;
}
