树上操作[HAOI 2015]

Posted 2020-10-18 殇雪

树链剖分裸题:

   树剖点这里：传送门

代码：

#include<bits/stdc++.h>
#define sight(c) (\'0\'<=c&&c<=\'9\')
#define LL long long
#define gc nc
#define add(x,y) x+=(y)
#define L(x) (x&-x)
#define eho(x) for(int i=head[x];i;i=net[i])
#define N 100007
#define abs(x) ((x)>0?(x):(-x))
LL q1[N],q2[N],gg,sum[N],a[N],T,G;
int tot,fall[N<<1],net[N<<1],head[N],top[N],son[N],f[N],dp[N],siz[N],be[N],ed[N],ok
,n,m,A,B,t[N],op,x,y,z,dla,OS; 
inline char nc(){
    static char buf[1000000],*p1=buf,*p2=buf;
    return p1==p2&&(p2=(p1=buf)+fread(buf,1,1000000,stdin),p1==p2)?EOF:*p1++;
}
inline void swap(int &x,int &y) {x^=y; y^=x; x^=y;}
inline void read(LL &x){
    static char c; static int b;
    for(b=1,c=gc();!sight(c);c=gc()) if (c==\'-\') b=-1;
    for(x=0;sight(c);c=gc()) x=x*10+c-48; x*=b;
}
inline void read(int &x){
    static char c; static int b;
    for(b=1,c=gc();!sight(c);c=gc()) if (c==\'-\') b=-1;
    for(x=0;sight(c);c=gc()) x=x*10+c-48; x*=b;
}
void write(LL x){if (x<10) {putchar(\'0\'+x);return;}write(x/10); putchar(\'0\'+x%10);}
void writes(LL x){if (x<0) putchar(\'-\'); write(abs(x));}
inline void ADd(int x,int y) {
    fall[++tot]=y; net[tot]=head[x]; head[x]=tot;
}
inline void Add(LL *A,int x,LL dla) {for (;x<N;x+=L(x)) add(A[x],dla);}
inline void adds(int l,int r,LL x) {
    Add(q1,l,x); Add(q1,r+1,-x); Add(q2,l,l*x); Add(q2,r+1,-(r+1)*x);
}
inline LL Query(LL *A,int x){for(G=0;x;x-=L(x)) add(G,A[x]);return G;}
inline LL qurey(int l){
    return (sum[l]+(l+1)*1ll*Query(q1,l)-Query(q2,l));
}
void dfs(int x,int fa){
    siz[x]=1; son[x]=-1; dp[x]=dp[fa]+1; f[x]=fa;
    eho(x) if (fall[i]^fa) {
        dfs(fall[i],x); siz[x]+=siz[fall[i]];
        if ((!(~son[x]))||siz[fall[i]]>siz[son[x]]) son[x]=fall[i]; 
    }
}
void dfs2(int x,int las){
    t[++ok]=x;top[x]=las; be[x]=ok; 
    if (~son[x]) dfs2(son[x],las);
    eho(x) if ((fall[i]^f[x])&&(fall[i]^son[x])) dfs2(fall[i],fall[i]); ed[x]=ok;
}
void apd(int x,int y,LL dla){
    while (top[x]!=top[y]) {
        if (dp[top[x]]<dp[top[y]]) swap(x,y);
        adds(be[top[x]],be[x],dla);
        x=f[top[x]];
    } if (dp[x]>dp[y]) swap(x,y);
    adds(be[x],be[y],dla);
}
LL query_path(int x,int y) {
    LL O=0;
    while (top[x]!=top[y]) {
        if (dp[top[x]]<dp[top[y]]) swap(x,y);
        add(O,qurey(be[x])-qurey(be[top[x]]-1));
        x=f[top[x]];
    } if (dp[x]>dp[y]) swap(x,y);
    add(O,qurey(be[y])-qurey(be[x]-1));
    return O;
}
signed main () {
//  freopen("a.in","r",stdin);
    read(n); read(m);
    for (int i=1;i<=n;i++) read(a[i]);
    for (int i=1;i<n;i++) {read(A); read(B); ADd(A,B); ADd(B,A); }
    dfs(n,0); dfs2(n,n);
    for (int i=1;i<=n;i++) sum[i]=sum[i-1],add(sum[i],a[t[i]]);
    while (m--) {
        read(op); 
        switch (op) {
            case 1: read(x); read(z); adds(be[x],be[x],z); break;
            case 2: read(x); read(z); adds(be[x],ed[x],z); break;
            case 3: read(x); writes(query_path(1,x)); putchar(\'\\n\'); break;
        }
    } return 0;
}