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 <iostream>
#include <vector>
using namespace std;
#define int long long
const int MAXN = 5000;
int dp[MAXN][MAXN];
int t;
bool check(int n, int k, vector <int>& a, int s) {
for (int i = 0; i < n; ++i) {
for (int j = 0; j < n; ++j) {
dp[i][j] = 0;
}
}
dp[k][k] = 1;
for (int len = 1; len <= n; ++len) {
for (int l = 0; l + len - 1 < n; ++l) {
int r = l + len - 1;
if (dp[l][r] == 0) continue;
if (r < n - 1 && (a[r + 1] - a[l]) <= (r - l + 1) * t * 2 * s) dp[l][r + 1] = 1;
if (l && (a[r] - a[l - 1]) <= (r - l + 1) * t * 2 * s) dp[l - 1][r] = 1;
}
}
return dp[0][n - 1];
}
signed main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
cout.tie(nullptr);
int n, k;
cin >> n >> k >> t;
vector <int> a(n);
for (int i = 0; i < n; ++i) cin >> a[i];
if (a[n - 1] == a[0]) {
cout << 0;
return 0;
}
int l = 0;
int r = a.back() - a[0];
while (r - l > 1) {
int m = (l + r) / 2;
if (check(n, k, a, m)) r = m;
else l = m;
}
cout << r;
return 0;
}
/*
3 2 50
0
200
300
3 2 10
0
200
300
20 6 1 0
2
13
27
35
46
63
74
80
88
100
101
109
110
119
138
139
154
172
192
*/
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