#include "gap.h"
#include<bits/stdc++.h>
using namespace std;
long long x[100009];
const long long xmax = 1e18;
long long rand15 () {return rand () & 32767;}
long long rand30 () {return (rand15 () << 15LL) | rand15 ();}
long long rand60 () {return (rand30 () << 30LL) | rand30 ();}
long long overallAns = 0;
void U (long long val)
{
if (val > overallAns)
overallAns = val;
}
void divide (long long bf, long long a, long long b, long long af)
{
if (a > b) return ;
if (a == b)
{
long long x, y;
MinMax (a, b, &x, &y);
if (x == -1)
{
if (af != -1) U (af - bf);
}
else
if (af != -1)
U (af - x), U (x - bf);
return ;
}
long long mid = a + rand60 () % (b - a);
long long x, y, z, t;
MinMax (a, mid, &x, &y);
MinMax (mid + 1, b, &z, &t);
if (x == -1)
{
if (bf != -1)
{
if (z != -1) U (z - bf);
else U (af - bf);
}
}
else
{
if (bf != -1) U (x - bf);
if (x != y)
divide (x, x + 1, y - 1, y);
}
if (z == -1)
{
if (y != -1)
U (af - y);
}
else
{
if (x != -1)
U (z - y);
if (z != t)
divide (z, z + 1, t - 1, t);
if (af != -1)
U (af - t);
}
}
long long findGap(int T, int N)
{
srand (time (0));
if (T == 1)
{
long long a = 0, b = xmax;
for (int i = 1, j = N; i<=j; i ++, j --)
MinMax (a, b, &x[i], &x[j]), a = x[i] + 1, b = x[j] - 1;
long long ans = x[2] - x[1];
for (int i=1; i<N; i++)
if (x[i + 1] - x[i] > ans)
ans = x[i + 1] - x[i];
return ans;
}
divide (-1, 0, xmax, -1);
return overallAns;
}
