#include <iostream>
#include <algorithm>
#include <vector>
#include <random>
#include <chrono>
#include <set>
#include <map>
#include <stack>
#include <functional>
#include <iomanip>
#include <queue>
#include <cassert>
#include <complex>
#include <cstring>
#include <memory>
#include <bitset>
#include <sstream>
#include <cmath>
#include <numeric>
#include <numbers>
#include <fstream>
#include "gap.h"
using namespace std;
#ifndef template
#ifndef define
#define ll long long
#define ld long double
#define pl pair<ll, ll>
#define pi pair<int, int>
#define nl cout << '\n';
#define x first
#define y second
#define cbit(x) __builtin_popcountll(x)
#define uid(a, b) uniform_int_distribution<ll>(a, b)(rng)
#define siz(x) (int)x.size()
#endif
#ifndef print
void print(size_t x) {cout << x << ' ';}
void print(int x) {cout << x << ' ';}
void print(long long x) {cout << x << ' ';}
void print(float x) {cout << x << ' ';}
void print(long double x) {cout << x << ' ';}
void print(char x) {cout << x << ' ';}
void print(const char* x) {cout << x << ' ';}
void print(bool x) {cout << x << ' ';}
void print(string &x) {cout << x << ' ';}
template<typename T, typename V>
void print(pair<T, V> &p) {print(p.x); print(p.y);}
template<typename T>
void print(vector<T> v) {for (int i = 0; i < v.size(); i++) print(v[i]);}
template<typename T>
void print(vector<vector<T>> v) {
for (int i = 0; i < v.size(); i++){
for (int j = 0; j < v[i].size(); j++)
print(v[i][j]);
nl;
}
}
template <typename T, typename... V>
void print(T t, V&&... v) {print(t); print(v...);}
#endif
#ifndef read
void read(int &x) {cin >> x;}
void read(long long &x) {cin >> x;}
void read(unsigned &x) {cin >> x;}
void read(unsigned long long &x) {cin >> x;}
void read(float &x) {cin >> x;}
void read(long double &x) {cin >> x;}
void read(char &x) {cin >> x;}
void read(string &x) {cin >> x;}
void read(bool &x) {cin >> x;}
template<typename T>
void read(vector<T> &v) {
for (int i = 0; i < v.size(); i++)
read(v[i]);
}
template <typename T, typename... V>
void read(T &t, V&... v) {read(t); read(v...);}
#endif
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
template<class T> bool maxi(T& a, const T& b) {
return a < b ? a = b, 1 : 0;
}
template<class T> bool mini(T& a, const T& b) {
return a > b ? a = b, 1 : 0;
}
template<class... Args>
auto vec(size_t n, Args&&... args) {
if constexpr(sizeof...(args) == 1)
return vector(n, args...);
else
return vector(n, vec(args...));
}
#endif
using namespace std;
const ll inf = 1e18;
const ll def = 1e5+1;
const ll mod = 1e9;
long long findGap(int T, int N){
if (T == 1){
auto a = vec(N, 0ll);
ll l, r;
MinMax(1, 1e18, &l, &r);
a[0] = l; a[N - 1] = r;
for (int i = 1; (N - i - 1) >= i; i++){
MinMax(a[i - 1] + 1, a[N - i - 1] - 1, &l, &r);
a[i] = l;
a[N - i - 1] = r;
}
ll res = 0;
for (int i = 1; i < N; i++)
maxi(res, a[i] - a[i - 1]);
return res;
}
else{
ll l, r;
MinMax(1, 1e18, &l, &r);
ll gap = (r - l + 1) / (ll)(N - 1);
if (((r - l + 1) % (ll)(N - 1)) != 0)
gap++;
vector<ll> x = {l, r};
ll crr = l;
for (int i = 0; i < N - 1; i++){
MinMax(crr, crr + gap - 1, &l, &r);
if (l != -1){
x.push_back(l);
x.push_back(r);
}
crr += gap;
}
sort(x.begin(), x.end());
ll res = 0;
for (int i = 1; i < x.size(); i++)
maxi(res, x[i] - x[i - 1]);
return res;
}
}
/*
*/
// void solve(){
// int r, l, b;
// read(r, l, b);
// int x[r];
// for (int i = 0; i < r; i++)
// read(x[i]);
// print(besthub(r, l, x, b));
// }
// /*
// 1 2 3 4
// 2 3 4 1
// */
// int32_t main(){
// ios_base::sync_with_stdio(0);
// cin.tie(0); cout.tie(0);
// // if (ifstream("input.txt").good()){
// // freopen("input.txt", "r", stdin);
// // freopen("output.txt", "w", stdout);
// // }
// int t;
// t = 1;
// while (t--){
// solve();
// nl;
// }
// }
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