#include "gap.h"
//```// YF YUSUF
#define YF ios_base::sync_with_stdio(0);cout.setf(ios::fixed);
#define YUSUF cout.precision(0);cout.tie(0);cin.tie(0);
// #include <bits/stdc++.h>
#include <iostream>
#include <vector>
#include <set>
#include <map>
#include <algorithm>
#include <cmath>
#include <numeric>
#include <queue>
#include <stack>
#include <cassert>
#include <climits>
#include <string>
#include <cstdlib>
#include <random>
#include <ctime>
using namespace std;
#ifdef YF_CHECK
bool Output=1;
#else
#pragma GCC optimize ("unroll-loops")
#pragma GCC optimize ("inline")
#pragma GCC optimize ("Ofast")
#pragma GCC optimize ("O3")
bool Output=0;
#endif
using ll = long long;
using ld = long double;
using sll = set <ll>;
using vll = vector <ll>;
using mll = map <ll,ll>;
using pll = pair <ll,ll>;
using vvl = vector <vll>;
using vpll = vector <pll>;
template<class T>T MIN(T&a,T b){a=min(a,b);return a;}
template<class T>T MAX(T&a,T b){a=max(a,b);return a;}
#define all(a) a.begin(),a.end()
#define sgr v+v+1,(tl+tr)/2+1,tr
#define sgl v+v,tl,(tl+tr)/2
#define pb push_back
#define ins insert
#define S second
#define F first
mt19937_64 MT(time(0));
ll BP(ll a,ll b,ll mod=1e9+7){
if(b==0)return 1;
ll q=BP(a,b/2,mod);
return ((q*q)%mod*(b%2?a:1ll))%mod;
}
ll f(ll x){return x*(x+1)/2;}
ll dup(ll a,ll b){return (a+b-1)/b;}
ll lcm(ll a,ll b){return a/__gcd(a,b)*b;}
ll invf(ll x){return (-1+sqrt(1+8*x))/2;}
const ll mod=998244353;
const ll INF=1e18;
const ll inf=1e9+7;
const ll N =1e6+7;
ll YF_SOLVE(ll n){
ll mn,mx;
MinMax(0,(ll)(1e18), &mn, &mx);
ll step = (mx - mn + n - 2) / (n - 1);
ll ans = step;
ll i, last = mn, x, y;
for(i = mn; i + step < mx; i += step + 1){
MinMax(i, i + step, &x, &y);
if(x != -1){
MAX(ans, x - last);
last = y;
}
}
MinMax(i, mx, &x, &y);
if(x!=-1)MAX(ans, x - last);
return ans;
}
ll YF_MAIN(ll n){
vll a(n+1);
{
ll l = 0ll, r = (1000000000000000000LL);
MinMax(l, r, &a[1], &a[n]);
}
ll l=2,r=n-1;
while(l<=r){
MinMax(a[l-1]+1, a[r+1]-1, &a[l], &a[r]);
l++;
r--;
}
ll mx = 0ll;
for(int i=2;i<min(n+1, (ll)a.size());i++){
MAX(mx, a[i] - a[i-1]);
}
return mx;
}
ll lg(ll x){return (x ? 63 - __builtin_clzll(x) : -1);}
const ll SN=2e0 + 7; ll SM[SN];
const ll FN=2e0 + 7; ll FACT[FN], inv[FN], FMOD=inf;
ll PER(ll n,ll k){return FACT[n] *inv[n-k]%FMOD;}
ll CNK(ll n,ll k){return PER(n,k)*inv[k ]%FMOD;}
void BEFORE(){
for(ll i=2;i<SN;i++){
if(SM[i])continue;
for(ll j=i;j<SN;j+=i)
MAX(SM[j],i);
}
FACT[0]=inv[0]=1;
for(int i=1;i<FN;i++){
FACT[i]=FACT[i-1]*i%FMOD;
if(i<5e5+7)inv[i]=BP(FACT[i],FMOD-2,FMOD);
}
}
ll findGap(int T, int N)
{
YF YUSUF
return (T==1 ? YF_MAIN(N) : YF_SOLVE(N));
}
