#include <bits/stdc++.h>
#include "gap.h"
// #include "grader.cpp"
using namespace std;
using ll = long long;
ll findGap(int T, int n) {
if (T == 1) {
ll s = LLONG_MIN, t = LLONG_MAX, mx = 0;
for (int i = 0; i < ((n + 1) >> 1); i++) {
ll x, y;
MinMax(s + 1, t - 1, &x, &y);
if (i) mx = max({mx, x - s, t - y});
s = x; t = y;
}
return max(mx, t - s);
}
ll s, t;
MinMax(LLONG_MIN, LLONG_MAX, &s, &t);
ll x = s, mx = 0, l = (t - s + n - 3) / (n - 1);
while (s < t) {
ll a, b;
MinMax(s, s + l, &a, &b);
if (~a) {
mx = max(mx, a - x);
x = b;
}
s += l + 1;
}
return max(mx, t - x);
}
