树剖模板(点权)(洛谷P3384)

版权声明：本文为博主原创文章，未经博主允许不得转载。 https://blog.csdn.net/Apale_8/article/details/81194642

#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++;
}

/*-------------------------树剖------------------------------*/
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);
    }
}
/*-------------------------树剖------------------------------*/

/*-------------------------线段树------------------------------*/
#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;
}
/*-------------------------线段树------------------------------*/

/*-----------------------树剖加线段树--------------------------*/
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;
}
/*-----------------------树剖加线段树--------------------------*/

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;
}