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| #include <iostream>
#include <cstdio>
using namespace std;
const int N = 1e5 + 10, M = 2e5 + 10;
int n, m, rt, mod, w[N];
int idx, hd[N], nxt[M], edg[M], wt[M];
int stmp, d[N], p[N], sz[N], son[N], top[N], rnk[N], dfn[N];
struct Node
{
int l, r, v, mark;
}tr[N << 2];
void pushup (int x)
{
tr[x].v = (tr[x << 1].v + tr[x << 1 | 1].v) % mod;
}
void pushdown (int x)
{
tr[x << 1].mark = (tr[x << 1].mark + tr[x].mark) % mod;
tr[x << 1 | 1].mark =(tr[x << 1 | 1].mark + tr[x].mark) % mod;
tr[x << 1].v = (tr[x << 1].v + tr[x].mark * (tr[x << 1].r - tr[x << 1].l + 1) % mod) % mod;
tr[x << 1 | 1].v = (tr[x << 1 | 1].v + tr[x].mark * (tr[x << 1 | 1].r - tr[x << 1 | 1].l + 1) % mod) % mod;
tr[x].mark = 0;
}
int query(int x, int l, int r)
{
if (tr[x].l >= l && tr[x].r <= r)
return tr[x].v;
if (tr[x].mark)
pushdown(x);
int res = 0;
int mid = tr[x].l + tr[x].r >> 1;
if (l <= mid)
res = (res + query(x << 1, l, r)) % mod;
if (r > mid)
res = (res + query(x << 1 | 1, l, r)) % mod;
return res;
}
void modify (int x, int l, int r, int k)
{
if (tr[x].l >= l && tr[x].r <= r)
{
tr[x].mark = (tr[x].mark + k) % mod;
tr[x].v = (tr[x].v + k * (tr[x].r - tr[x].l + 1)) % mod;
return;
}
if (tr[x].mark)
pushdown(x);
int mid = tr[x].l + tr[x].r >> 1;
if (l <= mid)
modify(x << 1, l, r, k);
if (r > mid)
modify(x << 1 | 1, l, r, k);
pushup(x);
}
void build (int x, int l, int r)
{
tr[x].l = l;
tr[x].r = r;
if (l == r)
{
tr[x].v = w[rnk[l]] % mod;
return;
}
int mid = l + r >> 1;
build(x << 1, l, mid);
build(x << 1 | 1, mid + 1, r);
pushup(x);
}
void AddPath(int x, int y, int k)
{
while (top[x] != top[y])
{
if (d[top[x]] < d[top[y]])
swap(x, y);
modify(1, dfn[top[x]], dfn[x], k);
x = p[top[x]];
}
if (d[x] > d[y])
swap(x, y);
modify(1, dfn[x], dfn[y], k);
}
int QueryPath (int x, int y)
{
int res = 0;
while (top[x] != top[y])
{
if (d[top[x]] < d[top[y]])
swap(x, y);
res = (res + query(1, dfn[top[x]], dfn[x])) % mod;
x = p[top[x]];
}
if (d[x] > d[y])
swap(x, y);
return (res + query(1, dfn[x], dfn[y])) % mod;
}
void AddTree(int x, int k)
{
modify(1, dfn[x], dfn[x] + sz[x] - 1, k);
}
int QueryTree (int x)
{
return query(1, dfn[x], dfn[x] + sz[x] - 1);
}
void add (int a, int b)
{
nxt[++idx] = hd[a];
hd[a] = idx;
edg[idx] = b;
}
void dfs1 (int x)
{
son[x] = -1;
sz[x] = 1;
for (int i = hd[x]; ~i; i = nxt[i])
if (!d[edg[i]])
{
d[edg[i]] = d[x] + 1;
p[edg[i]] = x;
dfs1(edg[i]);
sz[x] += sz[edg[i]];
if (son[x] == -1 || sz[edg[i]] > sz[son[x]])
son[x] = edg[i];
}
}
void dfs2 (int x, int t)
{
top[x] = t;
dfn[x] = ++stmp;
rnk[stmp] = x;
if (son[x] == -1)
return;
dfs2(son[x], t);
for (int i = hd[x]; ~i; i = nxt[i])
if (edg[i] != son[x] && edg[i] != p[x])
dfs2(edg[i], edg[i]);
}
int main ()
{
cin >> n >> m >> rt >> mod;
for (int i = 1; i <= n; i++)
hd[i] = -1;
for (int i = 1; i <= n; i++)
cin >> w[i];
for (int i = 1, a, b; i < n; i++)
{
cin >> a >> b;
add(a, b);
add(b, a);
}
d[rt] = 1;
dfs1(rt);
dfs2(rt, rt);
build(1, 1, n);
for (int type; m; m--)
{
cin >> type;
if (type == 1)
{
int a, b, c;
cin >> a >> b >> c;
AddPath(a, b, c % mod);
}
else if (type == 2)
{
int a, b;
cin >> a >> b;
cout << QueryPath(a, b) << endl;
}
else if (type == 3)
{
int a, b;
cin >> a >> b;
AddTree(a, b % mod);
}
else
{
int a;
cin >> a;
cout << QueryTree(a) << endl;
}
}
return 0;
}
|