#include "gap.h"
#include <bits/stdc++.h>
using namespace std;
#define in ({long long x=0;long long c=getchar(),n=0;for(;!isdigit(c);c=getchar()) n=(c=='-');for(;isdigit(c);c=getchar()) x=x*10+c-'0';n?-x:x;})
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
long long rnd(long long l,long long r){return l+rng()%(r-l+1);}
#define fasty ios_base::sync_with_stdio(false),cin.tie(nullptr);
#define task "TASK"
#define forinc(a,b,c) for(long long a=b,_c=c;a<=_c;++a)
#define fordec(a,b,c) for(long long a=b,_c=c;a>=_c;--a)
#define forv(a,b) for(auto&a:b)
#define fi first
#define se second
#define pb push_back
#define ii pair<long long,long long>
#define mt make_tuple
#define all(a) a.begin(),a.end()
#define reset(f, x) memset(f, x, sizeof(f))
#define bit(x,i) ((x>>(i-1))&1)
#define on(x,i) (x|(1ll<<(i-1)))
#define off(x,i) (x&~(1<<(i-1)))
long long findGap(int T,int N){
if(T==1){
long long l=0,r=1e18,ret;
vector<long long> h,t;
forinc(i,1,(N+1)/2){
long long x,y;
MinMax(l,r,&x,&y);
h.pb(x); t.pb(y);
l=x+1,r=y-1;
}
ret=t.back()-h.back();
forinc(i,1,h.size()-1) ret=max({ret,h[i]-h[i-1],t[i-1]-t[i]});
return ret;
} else{
long long l=0,r=1e18,ret;
vector<long long> h,t;
long long x,y;
MinMax(l,r,&x,&y);
h.pb(x); t.pb(y);
long long gap=(y-x+1)/N+1;
l=x+1;
forinc(i,1,(y-x)/gap+1){
MinMax(l,min(t.back()-1,l+gap-1),&x,&y);
if(x!=-1) h.pb(x);
if(y!=-1) h.pb(y);
l+=gap;
}
ret=t.back()-h.back();
forinc(i,1,h.size()-1) ret=max(ret,h[i]-h[i-1]);
return ret;
}
}
