[Luogu 3258] JLOI2014 松鼠的新家

Posted 2021-01-16 capella

[Luogu 3258] JLOI2014 松鼠的新家

<题目链接>

---

LCA + 树上差分。

我呢，因为是树剖求的 LCA，预处理了 DFN（DFS 序），于是简化成了序列差分。

qwq不讲了不讲了，贴代码。

#include <algorithm>
#include <cstdio>
#include <cstring>

#define nullptr NULL

const int MAXN = 300010; 

int n, a[MAXN]; 

namespace HLD
{
    int qwq[MAXN]; 
    class Graph
    {
        private: 
            bool vis[MAXN]; 
            int num; 
            struct Node
            {
                int depth, size, father, son, top, DFN; 
            }s[MAXN]; 
            struct Edge
            {
                int to; 
                Edge *next; 
                Edge(int to, Edge* next): to(to), next(next){}
                ~Edge(void)
                {
                    if(next!=nullptr)
                        delete next; 
                }
            }*head[MAXN]; 
            void Modify(int l, int r, int k)
            {
                qwq[s[l].DFN] += k; 
                qwq[s[r].DFN + 1] -= k; 
            }
            void Add(int x, int y)
            {
                int a, b; 
                while((a = s[x].top) ^ (b = s[y].top))
                    if(s[a].depth > s[b].depth)
                    {
                        Modify(a, x, 1); 
                        x = s[a].father; 
                    }
                    else
                    {
                        Modify(b, y, 1); 
                        y = s[b].father; 
                    }
                if(s[x].depth < s[y].depth)
                    Modify(x, y, 1); 
                else
                    Modify(y, x, 1); 
            }
        public: 
            Graph(int n): num(0)
            {
                memset(vis, 0, sizeof vis); 
                memset(s, 0, sizeof s); 
                std :: fill(head + 1, head + n + 1, (Edge*)nullptr); 
            }
            ~Graph(void)
            {
                for(int i = 1; i <= n; ++i)
                    delete head[i]; 
            }
            void AddEdges(int u, int v)
            {
                head[u] = new Edge(v, head[u]); 
                head[v] = new Edge(u, head[v]); 
            }
            void DFS1(int u, int k)
            {
                s[u].depth = k; 
                s[u].size = 1; 
                int v; 
                for(Edge* i = head[u]; i != nullptr; i = i -> next)
                    if(!s[v = i -> to].depth)
                    {
                        DFS1(v, k + 1); 
                        s[v].father = u; 
                        s[u].size += s[v].size; 
                        if(s[v].size > s[s[u].son].size)
                            s[u].son = v; 
                    }
            }
            void DFS2(int u, int top)
            {
                s[u].top = top; 
                s[u].DFN = ++num; 
                vis[u] = true; 
                if(s[u].son)
                    DFS2(s[u].son, top); 
                int v; 
                for(Edge* i = head[u]; i != nullptr; i = i -> next)
                    if(!vis[v = i -> to])
                        DFS2(v, v); 
            }
            void Walk(int x, int y)
            {
                Add(x, y); 
                Modify(y, y, -1); 
            }
            void Find(void)
            {
                for(int i = 1; i < n; ++i)
                    qwq[i + 1] += qwq[i]; 
                for(int i = 1; i <= n; ++i)
                    printf("%d
", qwq[s[i].DFN]); 
            }
    }*G; 
    void Init(void)
    {
        G = new Graph(n); 
        for(int i = 1, u, v; i < n; ++i)
        {
            scanf("%d %d", &u, &v); 
            G -> AddEdges(u, v); 
        }
        G -> DFS1(1, 1); 
        G -> DFS2(1, 1); 
    }
}

int main(void)
{
    scanf("%d", &n); 
    for(int i = 1; i <= n; ++i)
        scanf("%d", &a[i]); 
    HLD :: Init(); 
    for(int i = 1; i < n; ++i)
        HLD :: G -> Walk(a[i], a[i + 1]); 
    HLD :: G -> Find(); 
    return 0; 
}

---

谢谢阅读。