#include <cstdio>
#include <cstring>
#include <algorithm>
#include <utility>
#define x first
#define y second
#define mycreation std::pair <int, int>
#define MAXN 150000
#define MAXP 530000
int n, m, left, right, sef, poz, rez, val;
int t[MAXN+1], a[MAXN+1], ind[MAXN+1];
int aint[MAXP], cine[MAXP];
mycreation v[MAXN+1];
struct godscreation{
int x, y, z;
bool operator<(const godscreation &u) const{
return z<u.z;
}
}sol[8*MAXN];
inline int myabs(int x){
if(x<0) return -x;
else return x;
}
inline void rot90(){
int x, y;
for(int i=1; i<=n; i++){
x=v[i].x;
y=v[i].y;
v[i].x=-y;
v[i].y=x;
}
}
inline void reflect(){
for(int i=1; i<=n; i++)
v[i].x*=-1;
}
int find(int x){
if(x==t[x]) return x;
else return t[x]=find(t[x]);
}
bool cmp(const int &a, const int &b){
return v[a]<v[b];
}
inline int cautbin(int x){
int rez=0;
for(int pas=1<<29; pas; pas>>=1)
if((rez+pas<=n)&&(a[rez+pas]<=x))
rez+=pas;
return rez;
}
void update(int p, int st, int dr){
if(st==dr){
aint[p]=val;
cine[p]=sef;
}else{
int m=(st+dr)/2;
if(poz<=m) update(2*p, st, m);
else update(2*p+1, m+1, dr);
aint[p]=aint[2*p];
cine[p]=cine[2*p];
if((cine[p]==0)||((cine[2*p+1]!=0)&&(aint[2*p+1]<aint[p]))){
aint[p]=aint[2*p+1];
cine[p]=cine[2*p+1];
}
}
}
void query(int p, int st, int dr){
if((left<=st)&&(dr<=right)){
if((sef==0)||((cine[p]!=0)&&(aint[p]<rez))){
rez=aint[p];
sef=cine[p];
}
}else{
int m=(st+dr)/2;
if(left<=m) query(2*p, st, m);
if(m+1<=right) query(2*p+1, m+1, dr);
}
}
inline void muchii(){
for(int i=1; i<=n; i++)
ind[i]=i;
std::sort(ind+1, ind+n+1, cmp);
for(int i=1; i<=n; i++)
a[i]=v[i].x-v[i].y;
std::sort(a+1, a+n+1);
memset(cine, 0, sizeof cine);
for(int i=n; i>0; i--){
poz=cautbin(v[ind[i]].x-v[ind[i]].y);
rez=0;
sef=0;
left=1;
right=poz;
query(1, 1, n);
if(sef!=0){
sol[m].x=ind[i];
sol[m].y=sef;
sol[m].z=rez-v[ind[i]].x-v[ind[i]].y;
m++;
}
val=v[ind[i]].x+v[ind[i]].y;
sef=ind[i];
update(1, 1, n);
}
}
int main(){
int h;
long long ans;
FILE *fin, *fout;
fin=fopen("metrou4.in", "r");
fout=fopen("metrou4.out", "w");
fscanf(fin, "%d", &h);
for(; h; h--){
m=0;
fscanf(fin, "%d", &n);
for(int i=1; i<=n; i++)
fscanf(fin, "%d%d", &v[i].x, &v[i].y);
for(int i=0; i<2; i++){
for(int j=0; j<4; j++){
muchii();
rot90();
}
reflect();
}
std::sort(sol, sol+m);
for(int i=1; i<=n; i++)
t[i]=i;
ans=0;
for(int i=0; i<m; i++){
if(find(sol[i].x)!=find(sol[i].y)){
ans+=sol[i].z;
t[find(sol[i].x)]=find(sol[i].y);
}
}
fprintf(fout, "%lld\n", ans);
}
fclose(fin);
fclose(fout);
return 0;
}