#include "gap.h"
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
using namespace std;
mt19937 mt(2);
void check_max(ll &a, ll b){ a = (b > a) ? b : a; }
const ll INF = 1e18;
int t, n;
ll solve_1(){
ll l, r, ans = 0;
MinMax(0, INF, &l, &r);
ll l2, r2;
n -= 2;
while(n > 0){
MinMax(l + 1, r - 1, &l2, &r2);
ans = max(ans, max(l2 - l, r - r2));
l = l2, r = r2;
n -= 2;
}
ans = max(ans, r - l);
return ans;
}
ll findGap(int _t, int _n){
t = _t, n = _n;
if(t == 1) return solve_1();
if(n <= 1) return 0;
ll l, r;
MinMax(0, INF, &l, &r);
ll bound = ((r - l) / (n - 1)) + !!((r - l) % (n - 1)), ans = bound;
ll prev = l;
for(ll i = l; i < r; i += bound + 1){
ll l2, r2;
MinMax(i, i + bound, &l2, &r2);
if(l2 != -1){
check_max(ans, l2 - prev);
prev = r2;
}
}
return ans;
}
