bzoj3091

裸体   只是第四个操作有点恼火

神tm期望。。。

http://www.tesoon.com/ask/htm/03/12356.htm

（居然真是小学生都会。。

（简直不如07年水平=.=

安利一个博客

http://blog.youkuaiyun.com/popoqqq/article/details/40823659

popoqqq大爷讲的好

#include <cstdio>
#define LL long long
int n,m;

int ch[50010][2],rv[50010],fa[50010];
int x[50010],lz[50010],sz[50010];
LL sum[50010],lsum[50010],rsum[50010],exp[50010];

int st[50010],tp;

int read_int () {
	char c = getchar();
	int re = 0;
	for(;c > '9' || c < '0';c = getchar());
	for(;c >= '0' && c <= '9';c = getchar())
		re = re * 10 + c - '0';
	return re;
}

void pu (int u) {
	sum[u] = (LL)x[u] + sum[ch[u][0]] + sum[ch[u][1]];
	sz[u] = sz[ch[u][0]] + sz[ch[u][1]] + 1;
	
	lsum[u] = lsum[ch[u][0]] + (LL)(sz[ch[u][0]] + 1) * (LL)x[u] + lsum[ch[u][1]] + (LL)(sz[ch[u][0]] + 1) * sum[ch[u][1]];
	rsum[u] = rsum[ch[u][1]] + (LL)(sz[ch[u][1]] + 1) * (LL)x[u] + rsum[ch[u][0]] + (LL)(sz[ch[u][1]] + 1) * sum[ch[u][0]];
	exp[u] = (LL)(sz[ch[u][1]] + 1) * lsum[ch[u][0]] + exp[ch[u][0]] + (LL)(sz[ch[u][0]] + 1) * (LL)(sz[ch[u][1]] + 1) * (LL)x[u] + (LL)(sz[ch[u][0]] + 1) * rsum[ch[u][1]] + exp[ch[u][1]];
}

void reverse (int u) {
	int t = ch[u][0];
	ch[u][0] = ch[u][1];
	ch[u][1] = t;
	LL tt = lsum[u];
	lsum[u] = rsum[u];
	rsum[u] = tt;
	rv[u] ^= 1;
}

void add (int u,int v) {
	x[u] += v;
	sum[u] += sz[u] * v;
	lsum[u] += (LL)(sz[u] + 1) * (LL)sz[u] * (LL)v / 2;
	rsum[u] += (LL)(sz[u] + 1) * (LL)sz[u] * (LL)v / 2;
	exp[u] += v * ((LL)sz[u] * (LL)(sz[u] + 1) * (LL)(sz[u] + 2) / 6LL);	
	lz[u] += v;
}

void pd (int u) {
	if(rv[u]) {
		rv[u] = 0;
		reverse(ch[u][0]);
		reverse(ch[u][1]);
	}
	if(lz[u]) {
		add(ch[u][0],lz[u]);
		add(ch[u][1],lz[u]);
		lz[u] = 0;
	}
}

void rot (int u,int d) {
	ch[fa[u]][d ^ 1] = ch[u][d];
	if(ch[u][d])
		fa[ch[u][d]] = fa[u];
	int t = fa[fa[u]];
	ch[u][d] = fa[u];
	fa[fa[u]] = u;
	fa[u] = t;
	
	pu(ch[u][d]);
	pu(u);
	
	if(!t)
		return;
	if(ch[t][0] == ch[u][d])
		ch[t][0] = u;
	if(ch[t][1] == ch[u][d])
		ch[t][1] = u;
}

void splay (int u) {
	int t = u;
	st[tp = 1] = t;
	while(ch[fa[t]][0] == t || ch[fa[t]][1] == t) {
		t = fa[t];
		st[++tp] = t;
	}
	while(tp)
		pd(st[tp--]);
		
	while(ch[fa[u]][0] == u || ch[fa[u]][1] == u) {
		if(ch[fa[fa[u]]][0] != fa[u] && ch[fa[fa[u]]][1] != fa[u]) {
			if(ch[fa[u]][0] == u)
				rot(u,1);
			else rot(u,0);
		}
		else {
			int d = ch[fa[fa[u]]][0] == fa[u];
			if(ch[fa[u]][d] == u) {
				rot(u,d ^ 1);
				rot(u,d);
			}
			else {
				rot(u,d);
				rot(u,d);
			}
		}
	}
}

void access (int u) {
	int v = 0;
	while(u) {
		splay(u);
		ch[u][1] = v;
		pu(u);
		v = u;
		u = fa[u];
	}
}

void mtr (int u) {
	access(u);
	splay(u);
	reverse(u);
}

int fr (int u) {
	access(u);
	splay(u);
	int t = u;
	while(ch[t][0])
		t = ch[t][0];
	return t;
}

LL gcd (LL a,LL b) {
	if(a % b)
		return gcd(b,a % b);
	return b;
}

int main () {

	n = read_int();
	m = read_int();
	
	for(int i = 1;i <= n;++i) {
		exp[i] = lsum[i] = rsum[i] = x[i] = sum[i] = read_int();
		sz[i] = 1;
	}
	
	int f,u,v,t;
	for(int i = 1;i < n;++i) {
		u = read_int();
		v = read_int();
		mtr(u);
		mtr(v);
		fa[u] = v;
	}
	
	for(int i = 1;i <= m;++i) {
		f = read_int();
		u = read_int();
		v = read_int();
		if(f == 1) {
			if(fr(u) != fr(v))
				continue;
			mtr(u);
			access(v);
			splay(u);
			if(ch[u][1] == v && !ch[v][0]) {
				access(u);
				fa[v] = 0;
			}
		}
		else {
			if(f == 2) {
				if(fr(u) == fr(v))
					continue;
				mtr(u);
				mtr(v);
				fa[v] = u;
			}
			else {
				if(f == 3) {
					t = read_int();
					if(fr(u) != fr(v))
						continue;
					mtr(u);
					access(v);
					splay(u);
					add(u,t);
				}
				else {
					if(fr(u) != fr(v))
						printf("-1\n");
					else {
						mtr(u);
						access(v);
						splay(u);
						LL hh = gcd(exp[u],(LL)(sz[u] + 1) * (LL)sz[u] / 2LL);
						LL ff = exp[u] / hh;
						hh = (LL)(sz[u] + 1) * (LL)sz[u] / 2LL / hh;
						printf("%lld/%lld\n",ff,hh);
					}
				}
			}
		}
	}
}