#include "gap.h"
#include <bits/stdc++.h>
using namespace std;
long long findGap(int T, int N) {
if (T == 1) {
long long Min = -1, Max = 1e18l + 1;
vector<long long> front, back;
for (int i = 0; i < (N + 1) / 2; i++) {
MinMax(Min + 1, Max - 1, &Min, &Max);
if (Min != Max) {
front.push_back(Min);
}
back.push_back(Max);
}
reverse(back.begin(), back.end());
vector<long long> A;
for (auto v : front) {
A.push_back(v);
}
for (auto v : back) {
A.push_back(v);
}
long long gap = 0;
for (int i = 0; i < N - 1; i++) {
gap = max(gap, A[i + 1] - A[i]);
}
return gap;
} else {
long long Min, Max;
MinMax(0, 1e18, &Min, &Max);
queue<pair<long long, long long>> Q;
Q.push({Min, Max});
long long maxConfirmed = (Max - Min + N - 2) / (N - 1);
uniform_int_distribution<int> dist(0, 1);
mt19937 rng(chrono::steady_clock().now().time_since_epoch().count());
while (!Q.empty()) {
auto [l, r] = Q.front();
Q.pop();
if (r - l <= maxConfirmed) {
continue;
}
long long Minl = -1, Maxl = -1, Minr = -1, Maxr = -1;
// int children = max(2, min((N + 1) / 2 + 1, (int)sqrt(N)));
int children = max(2, (int)min({Max - Min, (long long)(N + 1) / 2 + 1, 60LL, (long long)N / 60}));
for (int i = 0; i < children; i++) {
long long start = min(r, (long long)floorl(l + (r - l + 1) * ((1.0l / children) * i)));
long long end = min(r, (long long)floorl(l + (r - l + 1) * ((1.0l / children) * (i + 1))) - 1);
if (start > end) {
continue;
}
MinMax(start, end, &Minr, &Maxr);
if (Minr != -1) {
if (Maxl != -1) {
maxConfirmed = max(maxConfirmed, Minr - Maxl);
}
Minl = Minr;
Maxl = Maxr;
Q.push({Minr, Maxr});
}
}
}
return maxConfirmed;
}
}
