#include <bits/stdc++.h>
using namespace std;
#define int long long int
#define double long double
#define print(a) for(auto x : a) cout << x << " "; cout << endl
inline int power(int a, int b) {
int x = 1;
while (b) {
if (b & 1) x *= a;
a *= a;
b >>= 1;
}
return x;
}
const int M = 1000000007;
const int N = 3e5+9;
const int INF = 2e9+1;
const int LINF = 2000000000000000001;
//_ ***************************** START Below *******************************
vector<int> a;
vector<int> b;
bool isPossible(int n, int m, int mid){
for(int i=0; i<n; i++){
int val = a[i];
int minR = a[i]-mid;
int maxR = a[i]+mid;
auto maxCt = lower_bound(begin(b), end(b), maxR) - begin(b);
auto minCt = lower_bound(begin(b), end(b), minR) - begin(b);
if((maxCt<m && b[maxCt] == maxR) || (minCt<m && b[minCt] == minR)) {
continue;
}
if(maxCt - minCt <= 0) return false;
}
return true;
}
int consistency(int n, int m){
int s = 0, e = INF;
int ans = INF;
while(s<=e){
int mid = s + (e-s)/2;
if(isPossible(n, m, mid)){
ans = min(ans, mid);
e = mid-1;
}
else s = mid+1;
}
return ans;
}
//* a => Cities, b => towers
bool isPoss(int n, int m, int mid){
int x = -1, y = -1;
vector<int> intervals;
for(int i=0; i<m; i++){
int p = b[i]-mid;
int q = b[i]+mid;
if(x == -1 && y==-1){
x = p;
y = q;
}
else{
if(y >= p){
y = max(y,q);
}
else{
intervals.push_back(x);
intervals.push_back(y);
}
}
}
intervals.push_back(x);
intervals.push_back(y);
int ct = 0;
for(int i=0; i<n; i++){
int j = lower_bound(begin(intervals), end(intervals), a[i]) - begin(intervals);
if(j==intervals.size()) continue;
if(j==a[i]) ct++;
if(j&1 && a[i] <= j){
ct++;
}
}
return ct == n;
}
int practice(int n, int m){
int s = 0, e = INF;
while(s<e){
int mid = s + (e-s)/2;
if(isPoss(n, m, mid)){
e = mid;
}
else s = mid+1;
}
return e;
}
void solve() {
int n, m;
cin>>n>>m;
a.resize(n);
b.resize(m);
for(int i=0; i<n; i++) cin >> a[i];
for(int i=0; i<m; i++) cin >> b[i];
// cout << consistency(n, m) << endl;
cout << practice(n, m) << endl;
}
int32_t main() {
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
int t = 1;
cin >> t;
while (t--) {
solve();
}
return 0;
}
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