#include<bits/stdc++.h>
#include<stdint.h>
using namespace std;
#define IOS {cin.tie(0);ios_base::sync_with_stdio(false);}
#define N 300006
//vector<int> vv;
//void MinMax(long long s, long long t, long long* mn, long long* mx){
// cout << "ASKed " << s << ' ' << t << '\n';
// auto imn = lower_bound(vv.begin(),vv.end(),s);
// auto imx = upper_bound(vv.begin(),vv.end(),t);
// if(imn == vv.end() || imx == vv.begin() || *imn > *--imx) {
// cout << "return (-1,-1)" << '\n';
// return *mn = *mx = -1ll, void();
// }
// *mn = *imn;
// *mx = *imx;
// cout << "return " << complex<int>(*mn,*mx) << '\n';
//}
#include "gap.h"
typedef long long ll;
ll findGap(int T,int n){
if(T==1){
vector<ll> v1,v2;
ll ans = 0;
ll s = 0, t = 1000000000000000000ll,mn,mx;
for(int i=1,j=n;i<=j;i++,j--){
MinMax(s,t,&mn,&mx);
v1.push_back(mn);
if(i != j) v2.push_back(mx);
s = mn+1; t=mx-1;
}
reverse(v2.begin(),v2.end());
for(ll i : v2) v1.push_back(i);
for(int i=0;i<v1.size()-1;i++) ans = max(ans,v1[i+1]-v1[i]);
return ans;
}
else{
ll ans = 0;
ll s = 0,t=1000000000000000000ll,mn,mx,gap,last;
MinMax(s,t,&mn,&mx);
s = mn + 1, t = mx - 1;
if(n == 2) return mx - mn;
gap = (mx-mn+1)/(n);
last = mn;
while(s + gap + 1 <= t){
MinMax(s,s + gap,&mn,&mx);
if(mn != -1) ans = max(ans,mn - last),last = mx;
s += gap+1;
}
MinMax(s,t,&mn,&mx);
if(mn != -1) ans = max(ans,mn - last),last = mx;
ans = max(ans,t+1 - last);
return ans;
}
}
