记录
#include <bits/stdc++.h>
using namespace std;
#define IT set<Node>::iterator
#define ls now * 2
#define rs now * 2 + 1
int n, m, cnt, last[100005], l, r, x, op, root;
long long p;
struct Edge
{
int to, pre;
} edge[200005];
void add(int u, int v)
{
edge[++cnt].to = v;
edge[cnt].pre = last[u];
last[u] = cnt;
}
int idx, fa[100005], dfn[100005], dep[100005], sz[100005], zson[100005], id[100005];
long long k, val[100005], v[100005];
void dfs1(int now, int f)
{
fa[now] = f, sz[now] = 1, dep[now] = dep[f] + 1;
for (int i = last[now]; i; i = edge[i].pre)
{
int to = edge[i].to;
if (to == f)
{
continue;
}
dfs1(to, now);
sz[now] += sz[to];
if (sz[to] > sz[zson[now]])
{
zson[now] = to;
}
}
}
void dfs2(int now, int top)
{
dfn[now] = top, id[now] = ++idx, val[idx] = v[now];
if (!zson[now])
{
return;
}
dfs2(zson[now], top);
for (int i = last[now]; i; i = edge[i].pre)
{
int to = edge[i].to;
if (to == fa[now] || to == zson[now])
{
continue;
}
dfs2(to, to);
}
}
struct Tree
{
int l, r;
long long sum, tag;
} tree[400005];
void maketree(int now, int l, int r)
{
tree[now].l = l, tree[now].r = r;
if (l == r)
{
tree[now].sum = val[l];
return;
}
int mid = (l + r) / 2;
maketree(ls, l, mid), maketree(rs, mid + 1, r);
tree[now].sum = tree[ls].sum + tree[rs].sum;
}
void pushdown(int now)
{
if (tree[now].tag)
{
tree[ls].tag += tree[now].tag;
tree[ls].tag %= p;
tree[ls].sum += tree[now].tag % p * ((tree[ls].r - tree[ls].l + 1) % p) % p;
tree[ls].sum %= p;
tree[rs].tag += tree[now].tag;
tree[rs].tag %= p;
tree[rs].sum += tree[now].tag % p * ((tree[rs].r - tree[rs].l + 1) % p) % p;
tree[rs].sum %= p;
tree[now].tag = 0;
}
}
void updata(int now, int l, int r, long long k)
{
k %= p;
if (l <= tree[now].l && r >= tree[now].r)
{
tree[now].tag = (tree[now].tag + k) % p;
tree[now].sum = ((tree[now].r - tree[now].l + 1) % p * k + tree[now].sum) % p;
return;
}
pushdown(now);
int mid = (tree[now].l + tree[now].r) / 2;
if (l <= mid)
{
updata(ls, l, r, k);
}
if (r > mid)
{
updata(rs, l, r, k);
}
tree[now].sum = (tree[ls].sum + tree[rs].sum) % p;
}
long long query(int now, int l, int r)
{
if (l <= tree[now].l && r >= tree[now].r)
{
return tree[now].sum % p;
}
pushdown(now);
int mid = (tree[now].l + tree[now].r) / 2;
long long ans = 0;
if (l <= mid)
{
ans = (ans + query(ls, l, r)) % p;
}
else
{
ans = (ans + query(rs, l, r)) % p;
}
return ans % p;
}
void change(int x, int y, long long k)
{
while (dfn[x] != dfn[y])
{
if (dep[dfn[x]] < dep[dfn[y]])
{
swap(x, y);
}
updata(1, id[dfn[x]], id[x], k);
x = fa[dfn[x]];
}
if (dep[x] > dep[y])
{
swap(x, y);
}
updata(1, id[x], id[y], k);
}
long long ask(int x, int y)
{
long long ans = 0;
while (dfn[x] != dfn[y])
{
if (dep[dfn[x]] < dep[dfn[y]])
{
swap(x, y);
}
ans = (ans + query(1, id[dfn[x]], id[x])) % p;
x = fa[dfn[x]];
}
if (dep[x] > dep[y])
{
swap(x, y);
}
ans = (ans + query(1, id[x], id[y])) % p;
return ans;
}
int main()
{
cin >> n >> m >> root >> p;
for (int i = 1; i <= n; i++)
{
cin >> v[i];
v[i] %= p;
}
for (int i = 1; i < n; i++)
{
int u, v;
cin >> u >> v;
add(u, v), add(v, u);
}
dfs1(root, 0);
dfs2(root, root);
maketree(1, 1, n);
while (m--)
{
cin >> op;
if (op == 1)
{
cin >> l >> r >> k;
change(l, r, k);
}
else if (op == 2)
{
cin >> l >> r;
cout << ask(l, r) << "\n";
}
else if (op == 3)
{
cin >> x >> k;
updata(1, id[x], id[x] + sz[x] - 1, k);
}
else
{
cin >> x;
cout << query(1, id[x], id[x] + sz[x] - 1)<<"\n";
}
}
return 0;
}