This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// https://oj.uz/problem/view/IZhO14_blocks
#include <bits/stdc++.h>
using namespace std;
int N, K;
int a[100005], dp[105][100005], L[100005];
// int main() {
// cin >> N >> K;
// memset(dp, 1000000, sizeof(dp));
// for(int i = 1; i <= N; i ++) {
// cin >> a[i];
// }
// // THIS VERSION IS NOT OPTIMIZED, BUT WORKS PROPERLY
// for(int i = 1; i <= K; i ++) {
// for(int j = i; j <= N; j ++) {
// if(i == 1) {
// if(j == 1) {
// dp[i][j] = a[j];
// }
// else {
// dp[i][j] = max(dp[i][j - 1], a[j]);
// }
// }
// else if(i == j) {
// dp[i][j] = dp[i - 1][j - 1] + a[j];
// }
// else {
// int mx = a[j];
// for(int k = j - 1; k >= i - 1; k --) {
// dp[i][j] = min(dp[i][j], dp[i - 1][k] + mx);
// mx = max(mx, a[k]);
// }
// }
// }
// }
// cout << dp[K][N];
// }
int main() {
cin >> N >> K;
memset(dp, 1000000, sizeof(dp));
for(int i = 1; i <= N; i ++) {
cin >> a[i];
}
dp[1][0] = 0;
for(int i = 1; i <= N; i ++) {
dp[1][i] = max(dp[1][i - 1], a[i]);
}
for(int i = 2; i <= K; i ++) {
stack <pair <int, int> > st;
for(int j = i; j <= N; j ++) {
int minDP = dp[i - 1][j - 1];
while(!st.empty() && a[st.top().second] <= a[j]) {
minDP = min(minDP, st.top().first);
st.pop();
}
dp[i][j] = min(minDP + a[j], dp[i][st.empty() ? 0 : st.top().second]);
st.push(make_pair(minDP, j));
}
}
cout << dp[K][N];
}
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