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 <algorithm>
#include <vector>
using namespace std;
#define int long long
const int maxn = 100'001;
const int inf = 1e18;
int dp[maxn];
int p[maxn];
pair<int, int> eval(int lambda, vector<int> &t) {
const int n = t.size();
fill(dp, dp + maxn, inf);
fill(p, p + maxn, -1);
dp[0] = 0;
for (int i = 1; i <= n; ++i) {
for (int j = i; j > 0; --j) {
dp[i] = min(dp[i], dp[j - 1] + t[i - 1] - t[j - 1] + 1 + lambda);
if (dp[i] == dp[j - 1] + t[i - 1] - t[j - 1] + 1 + lambda) {
p[i] = j - 1;
}
}
}
int ptr = n;
int cnt = 0;
while (ptr != 0) {
++cnt;
ptr = p[ptr];
}
return { dp[n], cnt };
}
int32_t main() {
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
int n, k;
cin >> n >> k;
vector<int> t(n);
for (int& i : t) {
cin >> i;
}
int l = 0, r = 2e9;
while (l + 1 < r) {
int m = (l + r) / 2;
if (eval(m, t).second > k) {
l = m;
} else {
r = m;
}
}
auto [a, b] = eval(r, t);
cout << a - k * r;
}
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