• WC2006水管局长(加强)


    倒过来就变成了加边
    然后就直接LCT

    # include <stdio.h>
    # include <stdlib.h>
    # include <iostream>
    # include <algorithm>
    # include <string.h>
    # define IL inline
    # define RG register
    # define Fill(a, b) memset(a, b, sizeof(a))
    using namespace std;
    typedef long long ll;
    
    IL ll Read(){
        RG char c = getchar(); RG ll x = 0, z = 1;
        for(; c < '0' || c > '9'; c = getchar()) z = c == '-' ? -1 : 1;
        for(; c >= '0' && c <= '9'; c = getchar()) x = (x << 1) + (x << 3) + c - '0';
        return x * z;
    }
    
    const int MAXN(1020000);
    int n, m, Q, S[MAXN], ch[2][MAXN], fa[MAXN], mx[MAXN], rev[MAXN];
    int w[MAXN], from[MAXN], to[MAXN], id1[MAXN], vis[MAXN];
    int qx[MAXN], qy[MAXN], qk[MAXN], ans[MAXN], id2[MAXN], mark[MAXN];
    
    IL bool Son(RG int x){  return ch[1][fa[x]] == x;  }
    
    IL bool Isroot(RG int x){  return ch[0][fa[x]] != x && ch[1][fa[x]] != x;  }
    
    IL void Update(RG int x){
        mx[x] = x;
        if(w[mx[ch[0][x]]] > w[mx[x]]) mx[x] = mx[ch[0][x]];
        if(w[mx[ch[1][x]]] > w[mx[x]]) mx[x] = mx[ch[1][x]];
    }
    
    IL void Pushdown(RG int x){  if(!rev[x]) return; rev[x] = 0; rev[ch[0][x]] ^= 1; rev[ch[1][x]] ^= 1; swap(ch[0][x], ch[1][x]);  }
    
    IL void Rot(RG int x){
        RG int y = fa[x], z = fa[y], c = Son(x);
        if(!Isroot(y)) ch[Son(y)][z] = x; fa[x] = z;
        ch[c][y] = ch[!c][x]; fa[ch[c][y]] = y;
        ch[!c][x] = y; fa[y] = x; Update(y);
    }
    
    IL void Splay(RG int x){
        RG int top = 0; S[++top] = x;
        for(RG int y = x; !Isroot(y); y = fa[y]) S[++top] = fa[y];
        while(top) Pushdown(S[top--]);
        for(RG int y = fa[x]; !Isroot(x); Rot(x), y = fa[x])
            if(!Isroot(y)) Son(x) ^ Son(y) ? Rot(x) : Rot(y);
        Update(x);
    }
    
    IL void Access(RG int x){  for(RG int y = 0; x; y = x, x = fa[x]) Splay(x), ch[1][x] = y, Update(x);  }
    
    IL void Makeroot(RG int x){  Access(x); Splay(x); rev[x] ^= 1;  }
    
    IL int Findroot(RG int x){  Access(x); Splay(x); while(ch[0][x]) x = ch[0][x]; return x;  }
    
    IL void Split(RG int x, RG int y){  Makeroot(x); Access(y); Splay(y);  }
    
    IL void Link(RG int x, RG int y){  Makeroot(x); fa[x] = y;  }
    
    IL void Cut(RG int x, RG int y){  Split(x, y); fa[x] = ch[0][y] = 0;  }
    
    IL bool Cmp1(RG int x, RG int y){  return from[x] != from[y] ? from[x] < from[y] : to[x] < to[y];  }
    
    IL bool Cmp2(RG int x, RG int y){  return w[x] < w[y];  }
    
    IL bool Cmp3(RG int x, RG int y){  return qx[x] != qx[y] ? qx[x] < qx[y] : qy[x] < qy[y];  }
    
    int main(RG int argc, RG char* argv[]){
        n = Read(); m = Read(); Q = Read();
        for(RG int i = 1; i <= m; i++){
            from[i] = Read() + m, to[i] = Read() + m, w[i] = Read(), id1[i] = i;
            if(from[i] > to[i]) swap(from[i], to[i]);
        }
        sort(id1 + 1, id1 + m + 1, Cmp1);
        for(RG int i = 1; i <= Q; i++){
            qk[i] = Read(); qx[i] = Read() + m; qy[i] = Read() + m; id2[i] = i;
            if(qx[i] > qy[i]) swap(qx[i], qy[i]);
        }
        sort(id2 + 1, id2 + Q + 1, Cmp3);
        for(RG int i = 1, l = 1; i <= Q && l <= m; i++){
            if(qk[id2[i]] == 1) continue;
            while(l <= m && (qx[id2[i]] > from[id1[l]] || (qx[id2[i]] == from[id1[l]] && qy[id2[i]] > to[id1[l]]))) l++;
            if(l > m) break;
            if(qx[id2[i]] == from[id1[l]] && qy[id2[i]] == to[id1[l]]) vis[id1[l]] = 1, mark[id2[i]] = id1[l];
        }
        sort(id1 + 1, id1 + m + 1, Cmp2);
        for(RG int i = 1, t = 0; i <= m; i++){
            if(vis[id1[i]]) continue;
            if(Findroot(from[id1[i]]) == Findroot(to[id1[i]])) continue;
            Link(from[id1[i]], id1[i]); Link(to[id1[i]], id1[i]);
            t++; if(t == n - 1) break;
        }
        for(RG int i = Q; i >= 1; i--){
            if(qk[i] == 1) Split(qx[i], qy[i]), ans[i] = w[mx[qy[i]]];
            else{
                RG int x = from[mark[i]], y = to[mark[i]];
                if(Findroot(x) != Findroot(y)) Link(x, mark[i]), Link(y, mark[i]);
                else{
                    Split(x, y);
                    RG int ma = mx[y], xx = from[ma], yy = to[ma];
                    if(w[ma] > w[mark[i]]) Cut(xx, ma), Cut(yy, ma), Link(x, mark[i]), Link(y, mark[i]);
                }
            }
        }
        for(RG int i = 1; i <= Q; i++)
            if(qk[i] == 1) printf("%d
    ", ans[i]);
        return 0;
    }
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  • 原文地址:https://www.cnblogs.com/cjoieryl/p/8206381.html
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