#include<bits/stdc++.h>
using namespace std;
int ans=INT_MAX;
int n;
int a[310][310];
int dx[4]={0,1,0,-1};
int dy[4]={1,0,-1,0};
struct node{
int x,y,step;
node(int xx,int yy,int st){
x=xx; y=yy; step=st;
}
};
queue<node> q;
void bfs(){
q.push(node(0,0,0));
while(!q.empty()){
node nd=q.front(); q.pop();
if(a[nd.x][nd.y]>=0x7f){
ans=min(ans,nd.step);
continue;
}
for(int i=0;i<4;i++){
int xx=nd.x+dx[i];
int yy=nd.y+dy[i];
if(xx>=0&&yy>=0&&a[xx][yy]>nd.step+1){
q.push(node(xx,yy,nd.step+1));
}
}
}
}
int main(){
memset(a,0x7f,sizeof(a));
cin>>n;
for(int i=1;i<=n;i++){
int x,y,w;
cin>>x>>y>>w;
a[x][y]=min(w,a[x][y]);
for(int i=0;i<4;i++){
int xx=x+dx[i];
int yy=x+dy[i];
if(xx>=0&&yy>=0) a[xx][yy]=min(a[xx][yy],w);
}
}
bfs();
cout<<ans;
return 0;
}