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  • 【洛谷 P3690】 【模板】Link Cut Tree (动态树)

    题目链接
    (RT)
    FlashHu巨佬的博客

    #include <cstdio>
    #define R register int
    #define I inline void
    #define lc c[x][0]
    #define rc c[x][1]
    const int MAXN = 300010;
    inline int read(){
        int s = 0, w = 1;
        char ch = getchar();
        while(ch < '0' || ch > '9'){ if(ch == '-') w = -1; ch = getchar(); }
        while(ch >= '0' && ch <= '9'){ s = s * 10 + ch - '0'; ch = getchar(); }
        return s * w;
    }
    int f[MAXN], c[MAXN][2], v[MAXN], s[MAXN], st[MAXN], tag[MAXN];
    inline int nroot(R x){
    	return c[f[x]][0] == x || c[f[x]][1] == x;
    }
    I pushup(R x){
    	s[x] = s[lc] ^ s[rc] ^ v[x];
    }
    I swap(R x){
    	lc ^= rc; rc = lc ^ rc; lc ^= rc; tag[x] ^= 1;
    }
    I pushdown(R x){
    	if(tag[x]){
    		swap(lc); swap(rc);
    		tag[x] = 0;
    	}
    }
    I rotate(R x){
    	R y = f[x], z = f[y], k = c[y][1] == x, w = c[x][!k];
    	if(nroot(y)) c[z][c[z][1] == y] = x;
    	c[x][!k] = y; c[y][k] = w; f[y] = x; f[x] = z;
    	if(w) f[w] = y;
    	pushup(y);
    }
    I splay(R x){
    	R y = x, z = 0;
    	st[++z] = y;
    	while(nroot(y)) st[++z] = y = f[y];
    	while(z) pushdown(st[z--]);
    	while(nroot(x)){
    		y = f[x]; z = f[y];
    		if(nroot(y)) (c[z][1] == y) ^ (c[y][1] == x) ? rotate(x) : rotate(y);
    		rotate(x);
    	}
    	pushup(x);
    }
    I access(R x){
    	for(R y = 0; x; x = f[y = x]){
    	   splay(x); rc = y; pushup(x);
        }
    }
    I makeroot(R x){
    	access(x); splay(x); 
    	swap(x);
    }
    inline int findroot(R x){
    	makeroot(x); splay(x);
    	while(lc){ x = lc; pushdown(x); }
    	splay(x);
    	return x;
    }
    I split(R x, R y){
    	makeroot(x); access(y); splay(y);
    }
    I link(R x, R y){
    	makeroot(x);
    	if(findroot(y) != x) f[x] = y;
    }
    I cut(R x, R y){
    	split(x, y);
    	if(c[y][0] == x){
    	   f[x] = c[y][0] = 0;
    	   pushup(y);
        }
    }
    int n, m, opt, a, b;
    int main(){
    	n = read(); m = read();
    	for(R i = 1; i <= n; ++i)
    	   v[i] = read();
    	while(m--){
    		opt = read(); a = read(); b = read();
    		switch(opt){
    			case 0 : split(a, b); printf("%d
    ", s[b]); break;
    			case 1 : link(a, b); break;
    			case 2 : cut(a, b); break;
    			case 3 : splay(a); v[a] = b; break;
    		}
    	}
    	return 0;
    }
    
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  • 原文地址:https://www.cnblogs.com/Qihoo360/p/10331209.html
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