#include <bits/stdc++.h>
#include <iostream>
#include <vector>
#include <algorithm>
#include <cmath>
#include <iomanip>
#include "gap.h"
using namespace std;
#define all(a) (a).begin(), (a).end()
#define sz(a) (int)(a).size()
#define ll long long
#define ld long double
#define ui uint64_t
#define cont(set, element) ((set).find(element) != (set).end())
/********* DEBUG *********/
template <typename T>
void outvec(const vector<T>& Z){
for (const T& x : Z)
cout << x << ' ';
cout << "\n";
}
void printVariable(const any& var) {
if (!var.has_value()) {
cout << "null";
return;
}
if (var.type() == typeid(int)) {
cout << any_cast<int>(var);
} else if (var.type() == typeid(double)) {
cout << any_cast<double>(var);
} else if (var.type() == typeid(float)) {
cout << any_cast<float>(var);
} else if (var.type() == typeid(char)) {
cout << any_cast<char>(var);
} else if (var.type() == typeid(bool)) {
cout << (any_cast<bool>(var) ? "true" : "false");
} else if (var.type() == typeid(string)) {
cout << any_cast<string>(var);
} else if (var.type() == typeid(const char*)) {
cout << any_cast<const char*>(var);
} else if (var.type() == typeid(long long)) {
cout << any_cast<long long>(var);
} else {
cout << "[unknown type]";
}
}
template<typename... Args>
void outval(Args... args) {
vector<any> variables = {args...};
for (size_t i = 0; i < variables.size(); ++i) {
printVariable(variables[i]);
if (i != variables.size() - 1) {
cout << " ";
}
}
cout << "\n";
}
#define sp << " " <<
/********* DEBUG *********/
const ll MOD = 1e9+7;
const ll MOD2 = 998244353;
const ll inf = 1e18;
const ll mxN = 2000005;
ll st1(ll N){
ll ans = 0;
ll l = 0, r = 1e18;
ll mn, mx;
MinMax(l,r,&mn,&mx);
l = mn, r = mx;
ll i = 1, j = N;
while (i < j){
if (i + 1 == j){
ans = max(ans, r-l);
break;
}
MinMax(l+1,r-1,&mn,&mx);
ans = max({ans, mn-l, r-mx});
l = mn, r = mx;
i++;
j--;
}
return ans;
}
ll st2(ll N){
ll l = 0, r = 1e18;
ll mn, mx;
MinMax(l,r,&mn,&mx);
if (N == 2)
return mx - mn;
l = mn, r = mx;
ll interval = (r-l+1)/N, ans = 0;
ll back = l;
l++; r--;
while (l + interval + 1 <= r){
MinMax(l, l + interval, &mn, &mx);
l += interval + 1;
if (mn == -1)
continue;
ans = max(ans, mn - back);
back = mx;
}
MinMax(l, r, &mn, &mx);
if (mn != -1)
ans = max(ans, mn - back), back = mx;
ans = max(ans, r + 1 - back);
return ans;
}
ll findGap(int T, int N){
if (T == 1)
return st1(N);
return st2(N);
}
