#include <bits/stdc++.h>
#include "gap.h"
using namespace std;
// macros
typedef long long ll;
typedef long double ld;
typedef pair<int, int> ii;
typedef pair<ll, ll> lll;
typedef tuple<int, int, int> iii;
typedef vector<int> vi;
typedef vector<ii> vii;
typedef vector<iii> viii;
typedef vector<ll> vll;
typedef vector<lll> vlll;
#define REP(a,b,c) for(int a=int(b); a<int(c); a++)
#define RE(a,c) REP(a,0,c)
#define RE1(a,c) REP(a,1,c+1)
#define REI(a,b,c) REP(a,b,c+1)
#define REV(a,b,c) for(int a=int(c-1); a>=int(b); a--)
#define FOR(a,b) for(auto& a : b)
#define all(a) a.begin(), a.end()
#define INF 1e18
#define EPS 1e-9
#define pb push_back
#define popb pop_back
#define fi first
#define se second
#define sz size()
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
// input
template<class T> void IN(T& x) {cin >> x;}
template<class H, class... T> void IN(H& h, T&... t) {IN(h); IN(t...); }
// output
template<class T1, class T2> void OUT(const pair<T1,T2>& x);
template<class T> void OUT(const vector<T>& x);
template<class T> void OUT(const T& x) {cout << x;}
template<class H, class... T> void OUT(const H& h, const T&... t) {OUT(h); OUT(t...); }
template<class T1, class T2> void OUT(const pair<T1,T2>& x) {OUT(x.fi,' ',x.se);}
template<class T> void OUT(const vector<T>& x) {RE(i,x.size()) OUT(i==0?"":" ",x[i]);}
template<class... T> void OUTL(const T&... t) {OUT(t..., "\n"); }
template<class H> void OUTLS(const H& h) {OUTL(h); }
template<class H, class... T> void OUTLS(const H& h, const T&... t) {OUT(h,' '); OUTLS(t...); }
//===================//
// begin program //
//===================//
const int MX = 1e5+2;
ll findGap(int T, int N) {
vll a;
ll lb=0, ub=1e18;
if(T == 1 || N <= 6) {
while(1) {
ll mn, mx;
MinMax(lb,ub,&mn,&mx);
if(mn == -1) break;
a.pb(mn);
if(mx != mn) a.pb(mx);
lb = mn+1, ub=mx-1;
if(ub < lb) break;
if(a.size() == N) break;
}
sort(all(a));
ll ans = 0;
RE(i,N-1) ans = max(ans, a[i+1]-a[i]);
return ans;
} else {
MinMax(0,1e18,&lb,&ub);
if(N == 2) return ub-lb;
ll stepSize = (ub-lb-2)/(N-2);
a.pb(lb); a.pb(ub);
for(ll x=lb+1; x<ub; x+=stepSize+1) {
ll mn, mx;
MinMax(x,x+stepSize,&mn,&mx);
if(mn == -1) continue;
a.pb(mn);
if(mn != mx) a.pb(mx);
}
sort(all(a));
ll ans = 0;
RE(i,a.size()-1) ans = max(ans, a[i+1]-a[i]);
return ans;
}
}
