1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
|
#include <bits/stdc++.h>
#define all(vec) vec.begin(),vec.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)
#define debug(var) cerr << #var <<":"<<var<<"\n";
#define lson(var) (var<<1)
#define rson(var) ((var<<1)+1)
using namespace std;
typedef long long ll;typedef unsigned long long ull;
typedef double DB;typedef long double LD;
typedef __int128 i128;typedef pair<DB,DB> pdd;typedef pair<ll,bool> plb;
typedef pair<ll,ll> pll;
typedef array<ll,3> arr3;typedef array<ll,2> arr2;
constexpr ll MAXN=static_cast<ll>(1e6)+10,INF=static_cast<ll>(1e9)+9;
constexpr ll mod=static_cast<ll>(1e9)+7;
constexpr double eps=1e-8;
ll N,M,Q,X,K,lT,A[MAXN],B[MAXN];
ll mxA[MAXN],Xv[MAXN];
ll suf[MAXN],pre[MAXN];
inline void init(){
FOR(i,0,N+5){
mxA[i]=0;
suf[i]=0;
pre[i]=0;
}
}
inline void solve(){
cin>>N>>X;
init();
FOR(i,1,N){
cin>>A[i];
}
FOR(i,1,N){
cin>>B[i];
}
ROF(i,N,1){
mxA[i]=max(mxA[i+1],A[i]);
}
ll opx=X,ans=0,first=N;
vector<bool> Ans(N+5,false);
FOR(i,1,N){
if(opx<A[i]){
FOR(i,1,N)cout<<0;
cout<<"\n";
return;
}else if(opx>=B[i]){
if(opx-1>=mxA[i+1]){
opx--;
++ans;
Ans[i]=true;
first=min(first,(ll)i);
}
}
pre[i]=ans;
Xv[i]=opx;
}
if(ans==0){
cout<<string(N,'0')<<"\n";
return;
}
opx=X-ans;ll sans=0;
ROF(i,N,1){
if(opx+1>=B[i] && opx<X){
opx++;
++sans;
suf[i]=sans;
Ans[i]=true;
}else{
suf[i]=suf[i+1];
}
}
FOR(i,first+1,N){
if(Ans[i]) continue;
if(B[i]>X) continue;
if(pre[i]>=ans-suf[i]-1){
if(X-max((ll)0,ans-suf[i]-1)>=B[i]) Ans[i]=true;
}
}
#ifdef LOCAL
debug(ans);
debug(sans);
FOR(i,1,N){
debug(i);
debug(suf[i]);
}
FOR(i,1,N){
debug(i);
debug(pre[i]);
}
#endif
FOR(i,1,N){
cout<<Ans[i];
}
cout<<"\n";
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(0);cout.tie(0);
cin>>lT;
while(lT--){
solve();
}
return 0;
}
|