This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/*
ID: varunra2
LANG: C++
TASK: sparklers
*/
#include <bits/stdc++.h>
using namespace std;
#ifdef DEBUG
#include "lib/debug.h"
#define debug(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)
#define debug_arr(...) \
cerr << "[" << #__VA_ARGS__ << "]:", debug_arr(__VA_ARGS__)
#pragma GCC diagnostic ignored "-Wsign-compare"
//#pragma GCC diagnostic ignored "-Wunused-parameter"
//#pragma GCC diagnostic ignored "-Wunused-variable"
#else
#define debug(...) 42
#endif
#define int long long
#define EPS 1e-9
#define IN(A, B, C) assert(B <= A && A <= C)
#define INF (int)1e9
#define MEM(a, b) memset(a, (b), sizeof(a))
#define MOD 1000000007
#define MP make_pair
#define PB push_back
#define all(cont) cont.begin(), cont.end()
#define rall(cont) cont.end(), cont.begin()
#define x first
#define y second
const double PI = acos(-1.0);
typedef long long ll;
typedef long double ld;
typedef pair<int, int> PII;
typedef map<int, int> MPII;
typedef multiset<int> MSETI;
typedef set<int> SETI;
typedef set<string> SETS;
typedef vector<int> VI;
typedef vector<PII> VII;
typedef vector<VI> VVI;
typedef vector<string> VS;
#define rep(i, a, b) for (int i = a; i < (b); ++i)
#define trav(a, x) for (auto& a : x)
#define sz(x) (int)(x).size()
typedef pair<int, int> pii;
typedef vector<int> vi;
#pragma GCC diagnostic ignored "-Wsign-compare"
// util functions
const int N = 1001;
int n, k, t;
int v;
VI vals;
VVI dp(N, VI(N, -1));
void init() { vals.resize(n); }
bool solve(int l, int r) {
if (l > k) return false;
if (r < k) return false;
if (l == r) return true;
if (dp[l][r] != -1) return dp[l][r];
if (vals[r] - vals[l] <= 2 * (r - l) * t * v) {
if (solve(l, r - 1))
dp[l][r] = 1;
else if (solve(l + 1, r))
dp[l][r] = 1;
else
dp[l][r] = 0;
} else {
dp[l][r] = 0;
}
return dp[l][r];
}
void fll(VVI& dp, int val) { trav(x, dp) trav(y, x) y = val; }
bool works(int _v) {
v = _v;
if (v <= 0) return false;
if (v * t >= vals.back()) return true;
fll(dp, -1);
dp[k][k] = 1;
return solve(0, n - 1);
}
int32_t main() {
// #ifndef ONLINE_JUDGE
// freopen("sparklers.in", "r", stdin);
// freopen("sparklers.out", "w", stdout);
// #endif
cin.sync_with_stdio(0);
cin.tie(0);
cin >> n >> k >> t;
if (n == 1) {
cout << "0\n";
return 0;
}
k--;
init();
for (int i = 0; i < n; i++) {
cin >> vals[i];
}
int x = -1;
for (int b = INF * (int)(1e5) + 1; b >= 1; b /= 2) {
while (!works(x + b)) x += b;
}
// cout << x + 1 << '\n';
x++;
for (int i = x - 5; i <= x + 5; i++) {
if (works(i)) {
cout << i << '\n';
return 0;
}
}
return 0;
}
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