#include "gap.h"
#include <bits/stdc++.h>
#define pb push_back
#define mp make_pair
#define rt insert
#define st first
#define nd second
#define ll long long
#define pii pair < int , int >
#define DB printf("debug\n");
#define umax( x , y ) x = max( x , y )
#define umin( x , y ) x = min( x , y )
#define all(x) x.begin() , x.end()
using namespace std;
long long findGap(int T, int N)
{
if(T==1){
ll a[N];memset(a,0,sizeof(a));
ll l=0,r=N-1;
while(l<=r){
if(l==0 && r==N-1){
MinMax(0,1e18,&a[l],&a[r]);
}
else{
//printf("l=%d r=%d\n",l,r);
MinMax(a[l-1]+1,a[r+1]-1,&a[l],&a[r]);
//else MinMax(a[l-1]+1,1e18,&a[l],NULL);
}
l++,r--;
}
ll ans=0;
for(int i=0;i<N-1;i++){
//printf("i=%d a[i]=%lld a[i+1]=%lld\n",i,a[i],a[i+1]);
umax(ans,a[i+1]-a[i]);
}
return ans;
}
else if(T==2){
ll a[N];memset(a,0,sizeof(a));
MinMax(0,1e18,&a[0],&a[N-1]);
ll inter=(a[N-1]-a[0])/(N-1);
//printf("N %d inter %lld \n",N,inter);
if(N==2)return a[1]-a[0];
vector < pair < ll,ll > > res;
ll x,y;
ll ans=0;
for(ll i=a[0];i<a[N-1];i+=inter+1){
//printf("%d %d\n",i,i+inter);
MinMax(i,i+inter,&x,&y);
if(x!=-1)res.pb(mp(x,y));
}
for(ll i=1;i<res.size();i++){
//DB
//printf("i=%lld st %lld nd %lld \n",i,res[i].st,res[i].nd);
ans=max(ans,res[i].st-res[i-1].nd);
}
//if(res.size()==0)umax(ans,a[N-1]-a[0]);
//printf("ans=%lld\n",ans);
return ans;
}
}
// N 83
// N-1 1 test case yanlis
