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#include <bits/stdc++.h>
#define all(x) x.begin(),x.end()
#define CLR(i,a) memset(i,a,sizeof(i))
#define fi first
#define se second
#define pb push_back
#define SZ(a) ((int) a.size())
#define FOR(i, a, b) for (int i = (a); i <= (b); ++i)
#define ROF(i, a, b) for (int i = (a); i >= (b); --i)
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef __int128 i128;
typedef pair<ll,ll> pll;
typedef array<ll,3> arr;
typedef double DB;
typedef pair<DB,DB> pdd;
typedef pair<ll,bool> plb;
constexpr ll MAXN=static_cast<ll>(1e6)+10,INF=static_cast<ll>(1e18)-3;
constexpr ll mod=static_cast<ll>(1e9)+7;
constexpr double eps=1e-8;
ll N,M,K,T,A[MAXN];
char S[MAXN];
ll mxA[MAXN],smxA[MAXN];
inline void solve(){
cin>>N>>K;
FOR(i,0,N+5){
S[i]='0';
A[i]=0;
smxA[i]=0;
mxA[i]=0;
}
FOR(i,1,N){
cin>>S[i];
}
ll pos=0;
FOR(i,1,N){
cin>>A[i];
if(S[i]=='0') A[i]=-INF,pos=i;
}
ll maxA=-INF;
FOR(i,1,N){
if(S[i]=='1'){
mxA[i]=mxA[i-1]+A[i];
maxA=max(maxA,mxA[i]);
if(mxA[i]<0){
mxA[i]=0;
}
}else{
mxA[i]=0;
}
}
smxA[N+1]=0;
ROF(i,N,1){
if(S[i]=='1'){
smxA[i]=smxA[i+1]+A[i];
maxA=max(maxA,smxA[i]);
if(smxA[i]<0){
smxA[i]=0;
}
}else{
smxA[i]=0;
}
}
if(maxA>K){
cout<<"No\n";
return;
}else if(maxA==K){
cout<<"Yes\n";
FOR(i,1,N){
if(S[i]=='0') A[i]=-INF;
cout<<A[i]<<" ";
}
cout<<"\n";
return;
}
A[pos]=K-smxA[pos+1]-mxA[pos-1];
ll check=-INF;
mxA[0]=0;
FOR(i,1,N){
mxA[i]=mxA[i-1]+A[i];
check=max(check,mxA[i]);
if(mxA[i]<0){
mxA[i]=0;
}
}
#ifdef LOCAL
cerr << "T:"<<T << '\n';
cerr<<"check:"<<check<<" K:"<<K<<"\n";
FOR(i,1,N){
cerr<<A[i]<<" ";
}
cerr<<"\n";
#endif
if(check==K){
cout<<"Yes\n";
FOR(i,1,N){
cout<<A[i]<<" ";
}
cout<<"\n";
}else{
cout<<"No\n";
}
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(0);cout.tie(0);
cin>>T;
while(T--){
solve();
}
return 0;
}
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