#include "gap.h"
#include <vector>
#include <algorithm>
using ll = long long;
using namespace std;
const ll INF = 1.77013e18;
ll find_recur(ll mn, ll mx) {
if (mx == mn)
return 0;
if (mx - mn == 1) {
return 1;
}
if (mx - mn == 2) {
ll nmn, nmx;
MinMax(mn + 1, mx - 1, &nmn, &nmx);
if (nmn == -1)
return 2;
return 1;
}
ll md = (mn + mx) / 2;
ll lmn, lmx;
MinMax(mn + 1, md, &lmn, &lmx);
ll rmn, rmx;
MinMax(md + 1, mx - 1, &rmn, &rmx);
if (lmn == -1 && rmn == -1) {
return mx - mn;
}
if (lmn == -1) {
return rmn - mn;
}
if (rmn == -1) {
return mx - lmx;
}
return max({find_recur(lmn, lmx), find_recur(rmn, rmx), lmn - mn, rmn - lmx, mx - rmx});
}
ll findGap(int T, int N) {
if (T == 1) {
vector<ll> mn;
vector<ll> mx;
while (mn.size() + mx.size() < N) {
ll nmn, nmx;
if (mn.empty()) {
MinMax(1ll, INF, &nmn, &nmx);
} else {
MinMax(mn.back() + 1, mx.back() - 1, &nmn, &nmx);
}
mn.push_back(nmn);
if (nmn != nmx)
mx.push_back(nmx);
}
reverse(mx.begin(), mx.end());
for (auto x : mx) {
mn.push_back(x);
}
ll ans = 0;
for (int i = 0; i + 1 < N; ++i) {
ans = max(ans, mn[i + 1] - mn[i]);
}
return ans;
} else {
ll mn, mx;
MinMax(1ll, INF, &mn, &mx);
return find_recur(mn, mx);
}
return 0;
}
