#include "gap.h"
#include <algorithm>
#include <stdio.h>
using namespace std;
#define REP(i,n) for(int (i)=0;(i)<(int)(n);(i)++)
#define REPO(i,n) for(int (i)=1; (i)<=(int)(n); (i)++)
#define SZ(v) ((int)(v).size())
#define ALL(v) (v).begin(),(v).end()
#define one first
#define two second
typedef long long ll;
typedef pair<int, int> pi;
const int INF = 0x3f2f1f0f;
const ll LINF = 1ll * INF * INF;
const ll MINV = 0, MAXV = 1e18;
const int MAX_N = 1e5 + 100;
ll minV, maxV;
ll Nr[MAX_N][2], Ans[MAX_N];
long long findGap(int T, int N)
{
if(T == 1) {
ll ans = 0;
minV = MINV, maxV = MAXV;
int li = 0, ri = N-1;
for(int i=0; i<(N+1)/2; i++) {
ll l, r;
MinMax(minV, maxV, &l, &r);
Ans[li++] = l;
Ans[ri--] = r;
minV = l+1; maxV = r-1;
}
for(int i=0; i+1<N; i++)
ans = max(ans, Ans[i+1] - Ans[i]);
return ans;
}
if(T == 2) {
MinMax(MINV, MAXV, &minV, &maxV);
if(N == 2) return maxV - minV;
ll diff = (maxV-1 - (minV+1) + N-3) / (N-2);
ll ans = 0, lastR = minV;
bool isBlank = false;
for(int i=0; i<N-2; i++) {
ll l = min(maxV-1, minV+1 + i * diff);
ll r = min(maxV-1, minV+1 + (i+1) * diff - 1);
MinMax(l, r, &Nr[i][0], &Nr[i][1]);
// printf("%lld %lld -> %lld %lld\n", l, r, Nr[i][0], Nr[i][1]);
if(Nr[i][0] >= 0) {
if(lastR != -1) ans = max(ans, Nr[i][0] - lastR);
lastR = Nr[i][1];
}else{
isBlank = true;
}
if(r == maxV-1) break;
}
ans = max(ans, maxV - lastR);
return ans;
}
return 0;
}
