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>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define sz(a) (int)a.size()
#define setbits(x) __builtin_popcountll(x)
#define ff first
#define ss second
#define conts continue
#define ceil2(x,y) ((x+y-1)/(y))
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "Yes" << endl
#define no cout << "No" << endl
#define rep(i,n) for(int i = 0; i < n; ++i)
#define rep1(i,n) for(int i = 1; i <= n; ++i)
#define rev(i,s,e) for(int i = s; i >= e; --i)
#define trav(i,a) for(auto &i : a)
template<typename T>
void amin(T &a, T b) {
a = min(a,b);
}
template<typename T>
void amax(T &a, T b) {
a = max(a,b);
}
#ifdef LOCAL
#include "debug.h"
#else
#define debug(...) 42
#endif
/*
refs:
edi
stress tested to figure out the bug (ans = 0 case was bugged)
ac code used for stress testing: https://oj.uz/submission/1043916
*/
const int MOD = 1e9 + 7;
const int N = 1e5 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;
void solve(int test_case)
{
ll n,k,t; cin >> n >> k >> t;
vector<ll> a(n+5);
rep1(i,n) cin >> a[i];
auto ok = [&](ll s){
vector<ll> cnt(n+5);
rep1(l,k){
for(int r = k; r <= n; ++r){
if(l == 1 and r == n) conts;
ll len = r-l+1;
bool ok = false;
__int128 lim = (__int128)2*len*t*s;
// l --> l-1
if(l-1){
if(a[r]-a[l-1] <= lim){
ok = true;
}
}
// r --> r+1
if(r+1 <= n){
if(a[r+1]-a[l] <= lim){
ok = true;
}
}
if(ok) cnt[len]++;
}
}
rep1(i,n-1){
if(!cnt[i]){
return false;
}
}
return true;
bool dp[n+5][n+5];
memset(dp,0,sizeof dp);
dp[k][k] = 1;
rev(l,n,1){
for(int r = l; r <= n; ++r){
ll len = r-l+1;
if(!dp[l][r]) conts;
__int128 lim = (__int128)2*len*t*s;
// l --> l-1
if(l-1){
if(a[r]-a[l-1] <= lim){
dp[l-1][r] = 1;
}
}
// r --> r+1
if(r+1 <= n){
if(a[r+1]-a[l] <= lim){
dp[l][r+1] = 1;
}
}
}
}
return dp[1][n];
};
ll lo = 0, hi = inf1;
ll ans = -1;
while(lo <= hi){
ll mid = (lo+hi) >> 1;
if(ok(mid)){
ans = mid;
hi = mid-1;
}
else{
lo = mid+1;
}
}
cout << ans << endl;
}
int main()
{
fastio;
int t = 1;
// cin >> t;
rep1(i, t) {
solve(i);
}
return 0;
}
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