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HYSBZ 1036(树的统计Count)

题目链接:传送门

题目大意:中文题,略

题目思路:树链剖分裸题。

闲谈:树链越练越熟练了

  1 #include <iostream>  2 #include <cstdio>  3 #include <cstdlib>  4 #include <cmath>  5 #include <algorithm>  6 #include <cstring>  7 #include <stack>  8 #include <cctype>  9 #include <queue> 10 #include <string> 11 #include <vector> 12 #include <set> 13 #include <map> 14 #include <climits> 15 #define lson rt<<1,l,mid 16 #define rson rt<<1|1,mid+1,r 17 #define fi first 18 #define se second 19 #define ping(x,y) ((x-y)*(x-y)) 20 #define mst(x,y) memset(x,y,sizeof(x)) 21 #define mcp(x,y) memcpy(x,y,sizeof(y)) 22 using namespace std; 23 #define gamma 0.5772156649015328606065120 24 #define MOD 1000000007 25 #define inf 0x3f3f3f3f 26 #define N 30005 27 #define maxn 30010 28 typedef pair<int,int> PII; 29 typedef long long LL; 30 LL read(){ 31     LL x=0,f=1;char ch=getchar(); 32     while(ch<0||ch>9){if(ch==-)f=-1;ch=getchar();} 33     while(ch>=0&&ch<=9){x=(x<<3)+(x<<1)+ch-0;ch=getchar();} 34     return x*f; 35 } 36  37 int n,m,flag,L,R; 38 int son[N],siz[N],top[N],id[N],tid,a[N]; 39 int dep[N],posi[N],fa[N],head[N],hcnt; 40 struct Node{int to,nxt,v;}node[maxn<<1]; 41 struct Seg{int sum,v;}seg[N<<2]; 42 inline void init(){ 43     mst(head,-1);tid=hcnt=0;mst(siz,0);mst(son,0);mst(id,0); 44 } 45 void dfs1(int u,int f,int deep){ 46     dep[u]=deep,fa[u]=f,siz[u]++; 47     for(int i=head[u];~i;i=node[i].nxt){ 48         int e=node[i].to; 49         if(e==f)continue; 50         dfs1(e,u,deep+1); 51         siz[u]+=siz[e]; 52         if(!son[u]||siz[son[u]]<siz[e]) 53             son[u]=e; 54     } 55 } 56 void dfs2(int u,int tp){ 57     top[u]=tp,id[u]=++tid,posi[tid]=u; 58     if(!son[u])return;dfs2(son[u],tp); 59     for(int i=head[u];~i;i=node[i].nxt){ 60         int e=node[i].to; 61         if(!id[e])dfs2(e,e); 62     } 63 } 64 inline void pushup(int rt){ 65     seg[rt].sum=seg[rt<<1].sum+seg[rt<<1|1].sum; 66     seg[rt].v=max(seg[rt<<1].v,seg[rt<<1|1].v); 67 } 68 void build(int rt,int l,int r){ 69     if(l==r){seg[rt].v=seg[rt].sum=a[posi[l]];return;} 70     int mid=l+r>>1; 71     build(lson);build(rson); 72     pushup(rt); 73 } 74 void update(int rt,int l,int r,int v){ 75     if(l==r){seg[rt].v=seg[rt].sum=v;return;} 76     int mid=l+r>>1; 77     if(L<=mid)update(lson,v); 78     else update(rson,v); 79     pushup(rt); 80 } 81 int query(int rt,int l,int r){ 82     if(L<=l&&r<=R){if(flag==0)return seg[rt].v;return seg[rt].sum;} 83     int mid=l+r>>1; 84     int temp; 85     if(flag){ 86         temp=0; 87         if(L<=mid)temp+=query(lson); 88         if(R>mid) temp+=query(rson); 89     } 90     else{ 91         temp=-inf; 92         if(L<=mid)temp=max(temp,query(lson)); 93         if(R>mid) temp=max(temp,query(rson)); 94     } 95     return temp; 96 } 97 void lca(int x,int y,int fl){ 98     flag=fl; 99     if(fl){100         int res=0;101         while(top[x]!=top[y]){102             if(dep[top[x]]<dep[top[y]])swap(x,y);103             L=id[top[x]],R=id[x];104             res+=query(1,1,n);105             x=fa[top[x]];106         }107         if(dep[x]>dep[y])swap(x,y);108         L=id[x],R=id[y];109         res+=query(1,1,n);110         printf("%d\n",res);111     }112     else{113         int res=-inf;114         while(top[x]!=top[y]){115             if(dep[top[x]]<dep[top[y]])swap(x,y);116             L=id[top[x]],R=id[x];117             res=max(res,query(1,1,n));118             x=fa[top[x]];119         }120         if(dep[x]>dep[y])swap(x,y);121         L=id[x],R=id[y];122         res=max(res,query(1,1,n));123         printf("%d\n",res);124     }125 }126 int main(){127     int i,j,group,x,y,v;128     while(scanf("%d",&n)!=EOF){129         init();130         for(i=1;i<n;++i){131             x=read(),y=read();132             node[hcnt].to=y,node[hcnt].nxt=head[x],head[x]=hcnt++;133             node[hcnt].to=x,node[hcnt].nxt=head[y],head[y]=hcnt++;134         }135         for(i=1;i<=n;++i)a[i]=read();136         dfs1(1,1,1);dfs2(1,1);build(1,1,n);137         m=read();138         char str[111];139         while(m--){140             scanf("%s",str);x=read(),y=read();141             if(strcmp(str,"QMAX")==0) lca(x,y,0);142             else if(strcmp(str,"QSUM")==0) lca(x,y,1);143             else L=id[x],update(1,1,n,y);144         }145     }146     return 0;147 }

 

HYSBZ 1036(树的统计Count)