BZOJ3083——遥远的国度

1、题目大意：三个操作，换根，修改树上的某条路径，查询一个子树的最小值

2、分析：这个其实还是挺好做的，修改树上的某条路径，裸树剖，查询子树的最小值，这个是树剖满足dfs序

那么就是换根了，对吧，其实换根是o(1)的，就是root = u嘛。。。那么另两个操作就要变一变了，

那个修改路径是不变的，因为你不管怎么换根，树上的路径都是唯一的。。。这个结束

查询子树的最小值呢，分情况讨论，我分了三种 1.如果询问根，全询问，2.如果询问的是现在根的n辈祖先，

那么除了现在根的n-1辈祖先的那棵子树不询问以外，其余的都要查询3.否则就是原来的那棵子树

#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <algorithm>
using namespace std;
#define M 1000000
struct tree_chain_partition{
    int Size[M], Top[M], Fa[M], value[M], num[M], Height[M], left[M], right[M];
    int n;
    int root;
    int son[M], head[M], Next[M];
    int tot, ST_tot;
    int q[M], lazy[M];
    int tt[M][30];
    void init(){
        memset(lazy, -1, sizeof(lazy));
        memset(head, -1, sizeof(head));
        tot = ST_tot = 0;
        Top[1] = 1;
    }
    void pushdown(int o){
        if(lazy[o] != -1){
            q[2 * o] = q[2 * o + 1] = lazy[2 * o] = lazy[2 * o + 1] = lazy[o];
            lazy[o] = -1;
        }
    }
    void add(int l, int r, int o, int x, int y, int k){
        if(x <= l && r <= y){
            q[o] = k;
            lazy[o] = k;
            return;
        }
        pushdown(o);
        int mid = (l + r) / 2;
        if(x <= mid) add(l, mid, 2 * o, x, y, k);
        if(y > mid) add(mid + 1, r, 2 * o + 1, x, y, k);
        q[o] = min(q[2 * o + 1], q[2 * o]);
    }
    int query(int l, int r, int o, int x, int y){
        if(x > y) return 2147483647;
        if(x <= l && r <= y) return q[o];
        pushdown(o);
        int mid = (l + r) / 2;
        int ret = 2147483647;
        if(x <= mid) ret = min(ret, query(l, mid, 2 * o, x, y));
        if(y > mid) ret = min(ret, query(mid + 1, r, 2 * o + 1, x, y));
        return ret;
    }
    inline void insert(int x, int y){
        tot ++;
        son[tot] = y;
        Next[tot] = head[x];
        head[x] = tot;
    }
    void dfs1(int x, int fa, int height){
        Height[x] = height;
        Fa[x] = fa;
        for(int i = head[x]; i != -1; i = Next[i]) if(son[i] != fa){
            dfs1(son[i], x, height + 1);
            Size[x] += Size[son[i]];
        }
        Size[x] ++;
    }
    void dfs2(int x, int fa){
        ST_tot ++;
        add(1, n, 1, ST_tot, ST_tot, value[x]);
        num[x] = ST_tot;
        left[x] = ST_tot;
        int o = 0, ss = 0;
        for(int i = head[x]; i != -1; i = Next[i]) if(son[i] != fa){
            if(Size[son[i]] > ss){
                o = i;
                ss = Size[son[i]];
            }
        }
        if(o != 0){
            Top[son[o]] = Top[x];
            dfs2(son[o], x);
        }
        for(int i = head[x]; i != -1; i = Next[i]) if(o != i && son[i] != fa){
            Top[son[i]] = son[i];
            dfs2(son[i], x);
        }
        right[x] = ST_tot;
    }
    void init_lca(){
        for(int i = 1; i <= n; i ++) tt[i][0] = Fa[i];
        for(int i = 1; i <= 20; i ++){
            for(int j = 1; j <= n; j ++){
                tt[j][i] = tt[tt[j][i - 1]][i - 1];
            }
        }
    }
    int zux(int x, int k){
        for(int i = 0; i <= 20; i ++) if((1 << i) & k){
            x = tt[x][i];
        }
        return x;
    }
    bool is_(int x, int y){
        if(Height[x] >= Height[y]) return false;
        if(zux(y, Height[y] - Height[x]) == x) return true;
        return false;
    }
    void add_root(int o){
        root = o;
    }
    void real_add(int x, int y, int v){
        while(Top[x] != Top[y]){
            if(Height[Top[x]] < Height[Top[y]]) swap(x, y);
            add(1, n, 1, num[Top[x]], num[x], v);
            x = Fa[Top[x]];
        }
        if(Height[x] < Height[y]) swap(x, y);
        add(1, n, 1, num[y], num[x], v);
    }
    int real_query(int x){
        if(x == root){
            return query(1, n, 1, left[1], right[1]);
        }
        else if(is_(x, root)){
            int qt = zux(root, Height[root] - Height[x] - 1);
            return min(query(1, n, 1, left[1], left[qt] - 1), query(1, n, 1, right[qt] + 1, right[1]));
        }
        else{
            return query(1, n, 1, left[x], right[x]);
        }
    }
} wt;
int main(){
    int n, m;
    scanf("%d%d", &n, &m);
    wt.n = n;
    wt.init();
    for(int i = 1; i < n; i ++){
        int x, y;
        scanf("%d%d", &x, &y);
        wt.insert(x, y);
        wt.insert(y, x);
    }
    for(int i = 1; i <= n; i ++){
        scanf("%d", &wt.value[i]);
    }
    scanf("%d", &wt.root);
    wt.dfs1(1, 0, 1);
    wt.dfs2(1, 0);
    wt.init_lca();
    for(int i = 1; i <= m; i ++){
        int op, x, y, z;
        scanf("%d", &op);
        if(op == 1){
            scanf("%d", &x);
            wt.add_root(x);
        }
        else if(op == 2){
            scanf("%d%d%d", &x, &y, &z);
            wt.real_add(x, y, z);
        }
        else{
            scanf("%d", &x);
            printf("%d\n", wt.real_query(x));
        }
    }
    return 0;
}