#include <bits/stdc++.h>
#include "gap.h"
using namespace std;
typedef long long ll;
ll findGap1(int N) {
ll l = 1, r = N;
ll fl = LLONG_MIN, fr = LLONG_MAX;
ll arr[N+1];
while (l <= r) {
ll *q1 = new ll(0), *q2 = new ll(0);
MinMax(fl, fr, q1, q2);
arr[l++] = *q1;
arr[r--] = *q2;
fl = *q1+1;
fr = *q2-1;
}
ll ans = 0;
for (ll i = 1; i < N; i++) ans = max(ans, arr[i+1] - arr[i]);
return ans;
}
void query(ll s, ll t, ll &q1, ll &q2) {
ll *qr1 = new ll(0), *qr2 = new ll(0);
MinMax(s, t, qr1, qr2);
q1 = *qr1;
q2 = *qr2;
}
void rec(set<ll> &dt, ll l, ll r) {
if (l > r) return;
ll q1, q2;
query(l, r, q1, q2);
if (q1 == -1) return;
dt.insert(q1);
dt.insert(q2);
ll mid = (q1+q2)/2;
rec(dt, q1+1, mid);
rec(dt, mid+1, q2-1);
}
ll findGap2(int N) {
set<ll> dt;
rec(dt, -2e18, 2e18);
vector<ll> arr;
for (ll i : dt) arr.push_back(i);
ll ans = 0;
for (ll i = 0; i < N-1; i++) ans = max(ans, arr[i+1] - arr[i]);
return ans;
}
ll findGap(int T, int N) {
return T == 1 ? findGap1(N) : findGap2(N);
}
