#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;
}
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;
}
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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