#include <bits/stdc++.h>
#include "gap.h"
#define ll long long
using namespace std;
/*
static void my_assert(int k){ if (!k) exit(1); }
static int subtask_num, N;
static long long A[100001];
static long long call_count;
void MinMax(long long s, long long t, long long *mn, long long *mx)
{
int lo = 1, hi = N, left = N+1, right = 0;
my_assert(s <= t && mn != NULL && mx != NULL);
while (lo <= hi){
int mid = (lo+hi)>>1;
if (A[mid] >= s) hi = mid - 1, left = mid;
else lo = mid + 1;
}
lo = 1, hi = N;
while (lo <= hi){
int mid = (lo+hi)>>1;
if (A[mid] <= t) lo = mid + 1, right = mid;
else hi = mid - 1;
}
if (left > right) *mn = *mx = -1;
else{
*mn = A[left];
*mx = A[right];
}
if (subtask_num == 1) call_count++;
else if (subtask_num == 2) call_count += right-left+2;
}
*/
long long findGap(int T, int n)
{
if(T==1)
{
ll l,r;
ll mn,mx;
ll ans=0;
MinMax(0,1LL*(1e18),&l,&r);
if(n==2)return r-l;
while(l+1<r-1&&n>2)
{
MinMax(l+1,r-1,&mn,&mx);
if(mx==-1)break;
ans=max(ans,mn-l);
ans=max(ans,r-mx);
l=mn;
r=mx;
n-=2;
}
return ans;
}
else
{
ll l,r;
MinMax(0,1LL*(1e18),&l,&r);
if(n==2)return r-l;
ll last=l;
ll d=(r-l+1)/(n-1);
++l;
ll ans=d;
ll mn,mx;
for(ll i=l;i<=r;i+=d)
{
MinMax(i,min(i+d-1,r),&mn,&mx);
if(mn==-1)continue;
ans=max(ans,mn-last);
last=mx;
}
ans=max(ans,r-last);
return ans;
}
}
/*
int main()
{
FILE *in = stdin, *out = stdout;
my_assert(2 == fscanf(in, "%d%d", &subtask_num, &N));
my_assert(1 <= subtask_num && subtask_num <= 2);
my_assert(2 <= N && N <= 100000);
for (int i=1;i<=N;i++) my_assert(1 == fscanf(in, "%lld", A+i));
for (int i=1;i<N;i++) my_assert(A[i] < A[i+1]);
fprintf(out, "%lld\n", findGap(subtask_num, N));
fprintf(out, "%lld\n", call_count);
}
*/
