This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define int long long
using namespace std;
using ll = long long;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
const int mod = 1e9 + 7;
const int LOG = 20;
const int maxn = 1e5 + 5;
int dp[1005][1005];
signed main() {
int n, id, t, l=0, r=1e9, ans=1e9; cin >> n >> id >> t;
vector<ll> v(n+1);
for(int i=1; i<=n; i++) cin >> v[i];
while(l <= r) {
int mid = (l + r) / 2;
// v[j] - 2 * mid * t * j <= v[i] - 2 * mid * t * i
// valjda aquarelle bi rabotelo
vector<int> R(n+1, n), L(n+1, 1);
int i = 1;
for(int j=1; j<=n; j++) {
while(i < j && v[j] - 2ll * mid * t * j > v[i] - 2 * mid * t * i) i++;
L[j] = i;
}
int j = n;
for(int i=n; i>=1; i--) {
while(j > i && v[j] - 2ll * mid * t * j > v[i] - 2 * mid * t * i) j--;
R[i] = j;
}
vector<int> pref(n+1), suf(n+1);
pref[1] = n; suf[n] = 1;
for(int i=2; i<=n; i++) pref[i] = min(pref[i-1], R[i-1]);
for(int i=n-1; i>=1; i--) suf[i] = max(suf[i+1], L[i+1]);
if(pref[id] < id || suf[id] > id) {
l = mid + 1;
continue;
}
i = j = id;
while(i > 1 || j < n) {
if(i > 1 && suf[j] <= i - 1) i--;
else if(j < n && pref[i] >= j + 1) j++;
else break;
}
if(i == 1 && j == n) ans = mid, r = mid - 1;
else l = mid + 1;
}
cout << ans << '\n';
return 0;
}
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