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| #include<algorithm> #include<iostream> #include<iomanip> #include<cstring> #include<cstdlib> #include<climits> #include<vector> #include<cstdio> #include<cmath> #include<queue> #include<stack> using namespace std;
inline const int Get_Int() { int num=0,bj=1; char x=getchar(); while(x<'0'||x>'9') { if(x=='-')bj=-1; x=getchar(); } while(x>='0'&&x<='9') { num=num*10+x-'0'; x=getchar(); } return num*bj; }
const int maxn=150005;
struct Union_Set { int father[maxn]; void init(int n) { for(int i=1; i<=n; i++)father[i]=i; } int Get_Father(int x) { if(father[x]==x)return x; else return father[x]=Get_Father(father[x]); } void merge(int x,int y) { father[Get_Father(x)]=Get_Father(y); } bool check(int x,int y) { return Get_Father(x)==Get_Father(y); } } Together,Belong;
struct Link_Cut_Tree { struct Tree { int father,child[2]; bool rev; int sum,val; } tree[maxn]; stack<int>S; #define fa(x) tree[x].father #define ls(x) tree[x].child[0] #define rs(x) tree[x].child[1] #define rev(x) tree[x].rev bool isroot(int index) { return ls(Belong.Get_Father(fa(index)))!=index&&rs(Belong.Get_Father(fa(index)))!=index; } bool checkson(int index) { return rs(Belong.Get_Father(fa(index)))==index; } void push_down(int index) { if(!rev(index))return; swap(ls(index),rs(index)); rev(ls(index))^=1; rev(rs(index))^=1; rev(index)=0; } void push_up(int index) { tree[index].sum=tree[ls(index)].sum+tree[rs(index)].sum+tree[index].val; } void rotate(int index) { int father=Belong.Get_Father(fa(index)),grand=Belong.Get_Father(fa(father)),side=checkson(index); if(!isroot(father))tree[grand].child[checkson(father)]=index; tree[father].child[side]=tree[index].child[side^1]; fa(tree[father].child[side])=father; fa(father)=index; tree[index].child[side^1]=father; fa(index)=grand; push_up(father); push_up(index); } void splay(int index) { S.push(index); for(int i=index; !isroot(i); i=Belong.father[fa(i)])S.push(Belong.father[fa(i)]); while(!S.empty())push_down(S.top()),S.pop(); for(int father; !isroot(index); rotate(index)) { father=Belong.Get_Father(fa(index)); if(!isroot(father))rotate(checkson(index)==checkson(father)?father:index); } } void access(int index) { for(int son=0; index; son=index,index=Belong.Get_Father(fa(index))) { splay(index); rs(index)=son; push_up(index); } } void reverse(int index) { access(index); splay(index); rev(index)^=1; } void link(int x,int y) { reverse(x); fa(x)=y; } void split(int x,int y) { reverse(x); access(y); splay(y); } void rebuild(int x,int y) { split(x,y); queue<int>Q; Q.push(y); while(!Q.empty()) { int Now=Q.front(); Q.pop(); Belong.father[Now]=y; if(ls(Now))Q.push(ls(Now)); if(rs(Now))Q.push(rs(Now)); ls(Now)=rs(Now)=0; } tree[y].val=tree[y].sum; } } lct;
int n,m,val[maxn];
int main() { n=Get_Int(); m=Get_Int(); Together.init(n),Belong.init(n); for(int i=1; i<=n; i++)val[i]=lct.tree[i].val=Get_Int(); for(int i=1; i<=m; i++) { int opt=Get_Int(),x=Get_Int(),y=Get_Int(); if(opt==1) { x=Belong.Get_Father(x),y=Belong.Get_Father(y); if(x==y)continue; if(!Together.check(x,y))lct.link(x,y),Together.merge(x,y); else lct.rebuild(x,y); } else if(opt==2) { int tmp=Belong.Get_Father(x); lct.tree[tmp].val+=y-val[x]; lct.splay(tmp); val[x]=y; } else { if(!Together.check(x,y)) { puts("-1"); continue; } x=Belong.Get_Father(x),y=Belong.Get_Father(y); if(x==y)printf("%d\n",lct.tree[x].val); else { lct.split(x,y); printf("%d\n",lct.tree[y].sum); } } } return 0; }
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