树剖

#include<bits/stdc++.h>

using namespace std ;

const int MAXN = 100010;
int a[MAXN],dt[MAXN],n,m,r,p,cnt;
int dep[MAXN],fa[MAXN],son[MAXN],siz[MAXN],topc[MAXN],ID[MAXN],res;

struct Edge{
    int to,nxt;
}edge[MAXN];//tree's Edge -> MAXN-1
int head[MAXN],ectr;
void addedge(int from,int to){
    ectr++;
    edge[ectr].to = to;
    edge[ectr].nxt = head[from];
    head[from] = ectr;
}

struct Tree{
    int l ,r ,dat ,lazy ;
}tree[MAXN<<2];

void build(int q,int l,int r){
    tree[q].l=l,tree[q].r=r;
    if(l == r){
        tree[q].dat = dt[l];
        if(tree[q].dat > p) tree[q].dat%=p;
        return ;
    }
    int mid = (l+r)/2;
    build(q<<1,l,mid);
    build(q<<1|1,mid+1,r);
    tree[q].dat = tree[q<<1].dat + tree[q<<1|1].dat;
    return ;
}
    
void change (int q, int l, int r, int d)//?????? 
{
    if(tree[q].l==l && tree[q].r==r)
    {
        tree[q].dat+=d*(r-l+1);
        tree[q].lazy+=d;
        return ;
    }
    int mid = ( tree[q].l + tree[q].r ) /2;//??????
    if(tree[q].lazy!=0)
    {
        change ( q<<1, tree[q].l, mid, tree[q].lazy);
        change ( q<<1|1, mid+1, tree[q].r, tree[q].lazy);
        tree[q].lazy=0;
    }
    if(r<=mid) change ( q*2, l, r, d);
    else if(l>mid) change( q*2+1, l, r, d);
    else
    {
        change ( q*2, l, mid, d) ;
        change ( q*2+1, mid+1, r, d) ;
    }
    tree[q].dat = tree[q*2].dat + tree[q*2+1].dat;
    return; 
}
    
int query(int q, int l, int r)
{
    int mid = ( tree[q].l + tree[q].r ) / 2;
    if(tree[q].l==l && tree[q].r==r) return tree[q].dat;
    if(tree[q].lazy!=0)
    {
        change ( q<<1, tree[q].l, mid, tree[q].lazy);
        change ( q<<1|1, mid+1, tree[q].r, tree[q].lazy);
        tree[q].lazy=0;
    }
    if(r<=mid) return query(q<<1, l, r);
    else if(l>mid) return query(q<<1|1, l, r);
    else return ( query(q<<1, l, mid) + query(q<<1|1, mid+1, r) );
}

void BRONYA_IS_THE_BEST(int x,int y,int deep){//x -> now , y -> father
    siz[x] = 1;
    dep[x] = deep;
    fa[x] = y;
    int maxson = -1;
    for(register int i = head[x];i;i = edge[i].nxt){
        int v = edge[i].to;
        if (v==y) continue;
        BRONYA_IS_THE_BEST(v,x,deep+1);
        siz[x] += siz[v];
        if(siz[v] > maxson) {
            son[x] = v;
            maxson = siz[v];
         }
    }
    return ;
}

void TERISHA_IS_THE_CUTEST(int x ,int ct){//ct == chain_top
    ID[x] = ++cnt ;
    dt[cnt] = a[x];
    topc[x] = ct;
    if(!son[x]) return ;
    TERISHA_IS_THE_CUTEST(son[x],ct);
    for(register int i = head[x];i ;i = edge[i].nxt){
        int v = edge[i].to;
        if(v == fa[x] || v == son[x]) continue ;
        TERISHA_IS_THE_CUTEST(v,v);
    }
    return ;
}

int I_WANT_YAYI_S_XX(int x,int y){//?????????? 
    int ans = 0;
    while (topc[x] != topc[y]){//??topc???????????????ID[] 
        if(dep[x] < dep[y]) swap(x,y);//?????????? 
        res = query(1,ID[topc[x]],ID[x]);
        ans += res;
        ans %= p;
        x = fa[topc[x]];//???? 
    }
    if(dep[x] > dep[y]) swap(x,y);
    res = query(1,ID[x],ID[y]);
    ans+=res;
    ans%=p;
    return ans ;//? 
}

int CSY_IS_PSYCHO(int x){
    res = query(1,ID[x],ID[x]+siz[x]-1);
    return res ;
}

int main(){
    scanf("%d%d%d%d",&n,&m,&r,&p);//r -> root ,p -> mod
    for(register int i=1;i<=n;i++){
        scanf("%d",&a[i]);
    }
    for(register int i=1,x,y;i<n;i++){
        scanf("%d%d",&x,&y);
        addedge(x,y);
        addedge(y,x);
    }
    BRONYA_IS_THE_BEST(r,0,1);//fa[r] = 0
    TERISHA_IS_THE_CUTEST(r,r);
    for(register int i=1,flag;i<=m;i++){
        scanf("%d",&flag);
        if(flag == 1){
            int tra1,tra2,tra3;
            scanf("%d%d%d",&tra1,&tra2,&tra3);
            change(1,ID[tra1],ID[tra2],tra3);
        }
        if(flag == 2){
            int tra1,tra2;
            scanf("%d%d",&tra1,&tra2);
            printf("%d",I_WANT_YAYI_S_XX(tra1,tra2));
        }
        if(flag == 3){
            int tra1,tra2;
            scanf("%d%d",&tra1,&tra2);
            change(1,ID[tra1],ID[tra1]+siz[tra1]-1,tra2);
        }
        if(flag == 4){
            int tra1;
            scanf("%d",&tra1);
            printf("%d",CSY_IS_PSYCHO(tra1));
        }
    }
//    for(int i=1;i<=n;i++){
//        cout<<"NODE "<<i<<": siz="<<siz[i]<<",father="<<fa[i]<<",deep="<<dep[i]<<",bigson="<<son[i]<<endl;
//    }
//    for(int i=1;i<=n;i++){
//        cout<<"NODE"<<i<<": newID="<<ID[i]<<",data="<<dt[ID[i]]<<endl;//NOTICE : dt[ID[i]]
//    }
    return 0;
}

 

转载于:https://www.cnblogs.com/SINXIII/p/10974500.html

#include<bits/stdc++.h> using namespace std; const int mx=1e5+1; int n,Q,x,y,d[mx],fa[mx],siz[mx],ev[mx],a[mx],son[mx],dfn[mx],cnt,id[mx],top[mx],ans[mx]; struct edge{int c,w,id,u,v;}e[mx*2]; struct que{int u,v,x,y;}q[mx*2]; struct tree{int l,r,lzy1,lzy2;}t[mx*4]; vector<edge> v[mx]; vector<int> es[mx]; vector<int> qs[mx]; //以下 void dfs1(int f,int u) { d[u]=d[f]+1,fa[u]=f,siz[u]=1; int len=v[u].size(); for(int i=0;i<len;i++) { edge next=v[u][i]; int nv=next.v; if(nv==f) continue; ev[next.id]=nv,a[nv]=next.w; dfs1(u,nv); siz[u]+=siz[nv]; if(siz[nv]>siz[son[u]]) son[u]=nv; } } void dfs2(int f,int u) { dfn[u]=++cnt,id[cnt]=u,top[u]=f; if(son[u]) dfs2(f,son[u]); int len=v[u].size(); for(int i=0;i<len;i++) { int nv=v[u][i].v; if(nv==fa[u] || nv==son[u]) continue; dfs2(nv,nv); } } //以上 //以下线段 void pushup1(int x){t[x].lzy1=t[x<<1].lzy1+t[x<<1|1].lzy1;} void pushup2(int x){t[x].lzy2=t[x<<1].lzy2+t[x<<1|1].lzy2;} void build(int x,int l,int r) { t[x].l=l,t[x].r=r; if(l==r) { t[x].lzy1=a[id[l]],t[x].lzy2=0; return; } int mid=(l+r)/2; build(x<<1,l,mid);build(x<<1|1,mid+1,r); pushup1(x); } void chang1(int x,int obx,int w) { if(t[x].l==t[x].r){t[x].lzy1=w;return;} int mid=(t[x].l+t[x].r)>>1; if(obx<=mid) chang1(x<<1,obx,w); else chang1(x<<1|1,obx,w); pushup1(x); } void chang2(int x,int obx,int w) { if(t[x].l==t[x].r){t[x].lzy2=w;return;} int mid=(t[x].l+t[x].r)>>1; if(obx<=mid) chang2(x<<1,obx,w); else chang2(x<<1|1,obx,w); pushup2(x); } int find1(int x,int l,int r) { if(l<=t[x].l && r>=t[x].r) return t[x].lzy1; int mid=(l+r)>>1,s=0; if(l<=mid) s+=find1(x<<1,l,r); if(r>mid) s+=find1(x<<1|1,l,r); return s; } int find2(int x,int l,int r) { if(l<=t[x].l && r>=t[x].r) return t[x].lzy2; int mid=(l+r)>>1,s=0; if(l<=mid) s+=find2(x<<1,l,r); if(r>mid) s+=find2(x<<1|1,l,r); return s; } //以上线段 int fans(int x,int y,int k) { int ans=0; while(top[x]!=top[y]) { if(d[top[x]]<d[top[y]]) swap(x,y); ans+=find1(1,dfn[top[x]],dfn[x]); ans+=find2(1,dfn[top[x]],dfn[x]); x=fa[top[x]]; } if(d[x]>d[y]) swap(x,y); if(x!=y) { ans+=find1(1,dfn[x]+1,dfn[y]); ans+=k*find2(1,dfn[x]+1,dfn[y]); } return ans; } int main() { cin >> n >> Q; for(int i=1;i<n;i++) { cin >> e[i].u >> e[i].v >> e[i].c >> e[i].w; e[i].id=i; v[e[i].u].push_back({e[i].u,e[i].v,e[i].c,e[i].w,e[i].id}); v[e[i].v].push_back({e[i].v,e[i].u,e[i].c,e[i].w,e[i].id}); es[e[i].c].push_back(i); } for(int i=1;i<=Q;i++) { cin >> q[i].x >> q[i].y >> q[i].u >> q[i].v; qs[q[i].x].push_back(i); } dfs1(1,1);dfs2(1,1);build(1,1,n); for(int i=1;i<n;i++) { int len=es[i].size(); for(int j=0;j<len;j++) { int k=ev[es[i][j]]; find1(1,dfn[k],0); find2(1,dfn[k],1); } for(int j=0;j<len;j++) { int k=qs[i][j]; ans[k]=fans(q[k].u,q[k].v,q[k].y); } for(int j=0;j<len;j++) { int k=ev[es[i][j]]; find1(1,dfn[k],e[es[i][j]].w); find2(1,dfn[k],0); } } for(int i=1;i<=Q;i++) cout<<ans[i]<<"\n"; return 0; }
07-14
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