樹剖模板(點權)(洛谷P3384)
阿新 • • 發佈:2018-11-19
#include<bits/stdc++.h>
using namespace std;
const int maxn = 100000+10;
int N,M,R,P,w[maxn];
struct
{
int to,next;
}e[maxn<<1];
int head[maxn],edgeNum;
void add(int u,int v)
{
e[edgeNum].next = head[u];
e[edgeNum].to = v;
head[u] = edgeNum++;
}
/*-------------------------樹剖------------------------------*/
int deep[maxn],fa[maxn],siz[maxn],son[maxn];
void dfs1(int u,int pre,int d)
{
deep[u] = d;
fa[u] = pre;
siz[u] = 1;
son[u] = 0;
for(int i=head[u];~i;i=e[i].next)
{
int v = e[i].to;
if(v!=pre)
{
dfs1(v,u,d+1);
siz[u] += siz[v];
if (siz[v]>siz[son[u]])
son[u] = v;
}
}
}
int top[maxn],id[maxn],rk[maxn],cnt;
int &n = cnt;
void dfs2(int u,int t)
{
top[u] = t;
id[u] = ++cnt;
rk[cnt] = u;
if(!son[u]) return;
dfs2(son[u],t);
for(int i=head[u];~i;i=e[i].next)
{
int v = e[i].to;
if(v!=son[u]&&v!=fa[u])
dfs2(v,v);
}
}
/*-------------------------樹剖------------------------------*/
/*-------------------------線段樹------------------------------*/
#define lson l,m,rt<<1
#define rson m+1,r,rt<<1|1
int sum[maxn<<2],lazy[maxn<<2];
void pushup(int rt)
{
sum[rt] = (sum[rt<<1]%P + sum[rt<<1|1]%P) % P;
}
void build(int l,int r,int rt)
{
if(l==r)
{
sum[rt] = w[rk[l]]%P;
return ;
}
int m = l+r>>1;
build(lson);
build(rson);
pushup(rt);
}
void pushdown(int rt,int l,int r)
{
if(lazy[rt])
{
lazy[rt<<1] = (lazy[rt<<1] + lazy[rt]) % P;
lazy[rt<<1|1] = (lazy[rt<<1|1] + lazy[rt]) % P;
sum[rt<<1] += (lazy[rt] * l)%P;
sum[rt<<1] %= P;
sum[rt<<1|1] += (lazy[rt] * r)%P;
sum[rt<<1|1] %= P;
lazy[rt] = 0;
}
}
void update(int L,int R,int val,int l,int r,int rt)
{
if(L<=l&&r<=R)
{
sum[rt] = (sum[rt]%P + (val%P) * ((r-l+1)%P)) % P;
lazy[rt] += val%P;
return ;
}
int m = l + r >> 1;
pushdown(rt,m-l+1,r-m);
if(L<=m)
update(L,R,val,lson);
if(R>m)
update(L,R,val,rson);
pushup(rt);
}
int query(int L,int R,int l,int r,int rt)
{
if(L<=l&&r<=R)
return sum[rt];
int m = l + r >> 1,ans = 0;
pushdown(rt,m-l+1,r-m);
if(L<=m)
ans = (ans%P + query(L,R,lson)%P) % P;
if(R>m)
ans = (ans%P + query(L,R,rson)%P) % P;
return ans%P;
}
/*-------------------------線段樹------------------------------*/
/*-----------------------樹剖加線段樹--------------------------*/
void update(int x,int y,int z)
{
z %= P;
while(top[x]!=top[y])
{
if(deep[top[x]]<deep[top[y]])
swap(x,y);
update(id[top[x]],id[x],z,1,n,1);
x = fa[top[x]];
}
if(deep[x]>deep[y])
swap(x,y);
update(id[x],id[y],z,1,n,1);
}
int query(int x,int y)
{
int ans = 0;
while(top[x] != top[y])
{
if(deep[top[x]] < deep[top[y]])
swap(x,y);
ans = (ans%P + query(id[top[x]],id[x],1,n,1)%P) % P;
x = fa[top[x]];
}
if(deep[x]>deep[y])
swap(x,y);
ans = (ans%P + query(id[x],id[y],1,n,1)%P) % P;
return ans%P;
}
/*-----------------------樹剖加線段樹--------------------------*/
void init()
{
memset(head,-1,4*N+4);
cnt = edgeNum = 0;
}
int u,v,x,y,z,op;
int main()
{
scanf("%d%d%d%d",&N,&M,&R,&P);
init();
for(int i=1;i<=N;++i)
scanf("%d",&w[i]);
for(int i=1;i<N;++i)
{
scanf("%d%d",&u,&v);
add(u,v);
add(v,u);
}
dfs1(R,0,0);
dfs2(R,R);
build(1,n,1);
while(M--)
{
scanf("%d%d",&op,&x);
if(op==1)
{
scanf("%d%d",&y,&z);
update(x,y,z);
}
else if(op==2)
{
scanf("%d",&y);
printf("%d\n",query(x,y)%P);
}
else if(op==3)
{
scanf("%d",&z);
update(id[x],id[x]+siz[x]-1,z,1,n,1);
}
else
printf("%d\n",query(id[x],id[x]+siz[x]-1,1,n,1));
}
return 0;
}