#include <bits/stdc++.h>
#define N 200011
#define ll long long
#define pii pair<int,int>
#define s1 first
#define s2 second
using namespace std;
int n;
pii mx[N*4];int tag[N*4];ll sum[N*4];
void pushup(int x){sum[x]=sum[x<<1]+sum[x<<1|1];mx[x]=max(mx[x<<1],mx[x<<1|1]);}
void apply(int x,int p,int L,int R)
{
	tag[x]+=p;mx[x].s1+=p;
}
void pushdown(int x,int L,int R)
{
	if(tag[x])apply(x<<1,tag[x],L,L+R>>1),apply(x<<1|1,tag[x],(L+R>>1)+1,R),tag[x]=0;
}
void build(int L,int R,int x)
{
	if(L==R){mx[x]=pii(-1e9,L);return;}
	build(L,L+R>>1,x<<1);build((L+R>>1)+1,R,x<<1|1);pushup(x);
}
pii qmx(int l,int r,int L,int R,int x)
{
	if(l>r)return pii(-1e9,-1e9);
	if(l<=L&&R<=r)return mx[x];pii ans(-1e9,-1e9);pushdown(x,L,R);
	if(l<=L+R>>1)ans=max(ans,qmx(l,r,L,L+R>>1,x<<1));if(r>L+R>>1)ans=max(ans,qmx(l,r,(L+R>>1)+1,R,x<<1|1));return ans;
}
void add(int l,int r,int p,int L,int R,int x)
{
	if(l>r)return;
	if(l<=L&&R<=r){apply(x,p,L,R);return;}pushdown(x,L,R);
	if(l<=L+R>>1)add(l,r,p,L,L+R>>1,x<<1);if(r>L+R>>1)add(l,r,p,(L+R>>1)+1,R,x<<1|1);pushup(x);
}
pii qk(int k,int L,int R,int x)
{
	if(L==R)return make_pair(mx[x].s1,sum[x]);pushdown(x,L,R);
	if(k<=L+R>>1)return qk(k,L,L+R>>1,x<<1);else return qk(k,(L+R>>1)+1,R,x<<1|1);
}
void modi(int k,pii p,int L,int R,int x)
{
	// printf("modi(%d,{%d,%d},[%d,%d],%d)\n",k,p.s1,p.s2,L,R,x);
	if(L==R){mx[x].s1=p.s1;sum[x]=p.s2;return;}pushdown(x,L,R);
	if(k<=L+R>>1)modi(k,p,L,L+R>>1,x<<1);else modi(k,p,(L+R>>1)+1,R,x<<1|1);pushup(x);
}
int dfn[N],siz[N],rk[N],dep[N],clk;vector<int> G[N];
ll ans[N];
void dfs0(int u,int F)
{
	dfn[u]=++clk;siz[u]=1;rk[clk]=u;dep[u]=dep[F]+1;
	for(int v:G[u])if(v^F)dfs0(v,u),siz[u]+=siz[v];
}
pii from[N];int fu[N];
bool is[N];
void dfsf(int u,int F)
{//printf("------------dfsf(%d,%d)\n",u,F);
	for(int v:G[u])if(v^F)dfsf(v,u);
	// printf("=========start proc u:%d\n",u);
	// for(int i=1;i<=n;++i)printf("{{%d,%d},%d} ",qmx(dfn[i],dfn[i],1,n,1).s1,qmx(dfn[i],dfn[i],1,n,1).s2,qk(dfn[i],1,n,1).s2);putchar(10);
	add(dfn[u]+1,dfn[u]+siz[u]-1,1,1,n,1);
	// for(int i=1;i<=n;++i)printf("{{%d,%d},%d} ",qmx(dfn[i],dfn[i],1,n,1).s1,qmx(dfn[i],dfn[i],1,n,1).s2,qk(dfn[i],1,n,1).s2);putchar(10);
	if(!is[u])
	{
		// printf("not special\n");
		pii tt=qmx(dfn[u]+1,dfn[u]+siz[u]-1,1,n,1);
		// printf("tt:{%d,%d}\n",tt.s1,tt.s2);
		if(tt.s2>0)
		{
			from[u]=qk(tt.s2,1,n,1);fu[u]=rk[tt.s2];
			modi(tt.s2,pii(-1e9,0),1,n,1);
			modi(dfn[u],pii(0,from[u].s2+from[u].s1),1,n,1);
		}
	}
	else
	{
		modi(dfn[u],pii(0,0),1,n,1);
	}
}
void dfsg(int u,int F)
{//printf("---------------------dfsg(%d,%d)\n",u,F);
	pii tnd;
	if(fu[u]>0)
	{
		tnd=qk(dfn[u],1,n,1);
		modi(dfn[u],pii(-1e9,0),1,n,1);
		modi(dfn[fu[u]],from[u],1,n,1);
	}
	// printf("state of %d:",u);
	// for(int i=1;i<=n;++i)printf("{{%d,%d},%d} ",qmx(dfn[i],dfn[i],1,n,1).s1,qmx(dfn[i],dfn[i],1,n,1).s2,qk(dfn[i],1,n,1).s2);putchar(10);
	if(!is[u])ans[u]=sum[1]+mx[1].s1;
	else ans[u]=sum[1];
	for(int v:G[u])if(v^F)
	{
		// printf("=====doing edge %d->%d\n",u,v);
		pii tt,dat;
		if(!is[u])
		{
			tt=max(qmx(1,dfn[v]-1,1,n,1),qmx(dfn[v]+siz[v],n,1,n,1));
			// printf("chosen node %d(%d)\n",rk[tt.s2],tt.s1);
			if(tt.s2>0)
			{
				dat=qk(tt.s2,1,n,1);
				modi(tt.s2,pii(-1e9,0),1,n,1);
				modi(dfn[u],pii(0,dat.s2+dat.s1),1,n,1);
			}
		}
		apply(1,1,1,n);
		add(dfn[v],dfn[v]+siz[v]-1,-2,1,n,1);
		dfsg(v,u);
		// printf("=====undoing edge %d->%d\n",u,v);
		apply(1,-1,1,n);
		add(dfn[v],dfn[v]+siz[v]-1,2,1,n,1);
		if(!is[u])
		{
			if(tt.s2>0)
			{
				modi(tt.s2,dat,1,n,1);
				modi(dfn[u],pii(-1e9,0),1,n,1);
			}
		}
	}
	if(fu[u]>0)
	{
		modi(dfn[u],tnd,1,n,1);
		modi(dfn[fu[u]],pii(-1e9,0),1,n,1);
	}
}
char s[N];
int main()
{
	scanf("%d%s",&n,s+1);for(int i=1;i<=n;++i)is[i]=s[i]-'0';
	for(int i=1;i<n;++i){int u,v;scanf("%d%d",&u,&v);G[u].push_back(v);G[v].push_back(u);}
	dfs0(1,0);
	// printf("dfn:");for(int i=1;i<=n;++i)printf("%d ",dfn[i]);putchar(10);
	// printf("siz:");for(int i=1;i<=n;++i)printf("%d ",siz[i]);putchar(10);
	// printf("dep:");for(int i=1;i<=n;++i)printf("%d ",dep[i]);putchar(10);
	build(1,n,1);
	dfsf(1,0);
	// printf("after dfsf state:\n");
	// for(int i=1;i<=n;++i)printf("{{%d,%d},%d} ",qmx(dfn[i],dfn[i],1,n,1).s1,qmx(dfn[i],dfn[i],1,n,1).s2,qk(dfn[i],1,n,1).s2);putchar(10);
	dfsg(1,0);
	for(int i=1;i<=n;++i)printf("%lld ",ans[i]);putchar(10);
	fclose(stdin);fclose(stdout);return 0;
}