#include <bits/stdc++.h>
using namespace std;
#define _CRT_SECURE_NO_WARNINGS
#define ll long long
#define add push_back
#define mp make_pair
#define fr first
#define sc second
#define pii pair<int, int>
#define pll pair<long long, long long>
#define filein(a) freopen(a, "r", stdin);
#define fileout(a) freopen(a, "w", stdout);
#define fastio ios_base::sync_with_stdio(false); cin.tie(0);
const int N = 100011;
const ll MOD = 1000000007;
int besthub(int R, int L, int X[], ll B) {
if(R == 1) return 1;
ll a[N], b[N];
a[0] = 0;
b[R + 1] = 0;
for(int i = 1; i <= R; i++) {
if(i == 1) a[i] = 0;
else a[i] = a[i - 1] + (ll)(i - 1) * ((ll)X[i - 1] - (ll)X[i - 2]);
}
for(int i = R; i >= 1; i--) {
if(i == R) b[i] = 0;
else b[i] = b[i + 1] + ((ll)R - i) * ((ll)X[i] - (ll)X[i - 1]);
}
ll l = 1, r = R, ans = 1;
while(l <= r) {
bool yes = true;
ll m = (l + r) / 2;
ll mi = m / 2, mj = (m + 1) / 2;
for(int i = mi; (i + mj) < R; i++) {
if(i == 0) {
if((ll)B >= ((ll)X[i + 1] - (ll)X[i])) {
ans = 2;
l = m + 1;
i = R;
yes = false;
}
}
else {
ll c1 = a[i + 1] - a[i - mi + 1] - (ll)(i - mi) * ((ll)X[i] - (ll)X[i - mi]);
ll c2 = b[i + 1] - b[i + 1 + mj] - (ll)(R - i - 1 - mj) * ((ll)X[i + mj] - (ll)X[i]);
if((c1 + c2) <= B) {
ans = m + 1;
l = m + 1;
i = R;
yes = false;
}
}
}
if(yes) r = m - 1;
}
return ans;
}
