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 <fstream>
#include <vector>
#include <queue>
#include <utility>
#include <algorithm>
#include <cstring>
int x, k;
int arr[100005];
int dp[105][100005];
int pge[100005];
int tree[400005];
void update(int node, int l, int r, int pos, int val) {
if (l==r) {
tree[node] = val;
return;
}
int m = (l+r)>>1;
if (pos<=m) {
update(node<<1,l,m,pos,val);
}
else {
update(node<<1|1,m+1,r,pos,val);
}
tree[node] = std::min(tree[node<<1],tree[node<<1|1]);
}
int query(int node, int l, int r, int st, int fi) {
if (l>fi||r<st) {
return 0x3f3f3f3f;
}
if (st<=l&&r<=fi) {
return tree[node];
}
int m = (l+r)>>1;
return std::min(query(node<<1,l,m,st,fi),query(node<<1|1,m+1,r,st,fi));
}
void augment(int p) {
for (int i = 0; i < p; i++) {
dp[p][i] = 0x3f3f3f3f;
}
for (int i = p; i <= x; i++) {
dp[p][i] = 0x3f3f3f3f;
int pos = i;
while (pos>0) {
int next = pge[pos];
int tmp = query(1,0,x,next,pos-1) + arr[pos];
dp[p][i] = std::min(dp[p][i], tmp);
if (tmp-dp[p][i]>50000) {
break;
}
pos = next;
}
}
for (int i = 0; i <= x; i++) {
update(1,0,x,i,dp[p][i]);
}
}
int main() {
std::ios_base::sync_with_stdio(false);
std::cin.tie(NULL);
std::cout.tie(NULL);
std::cin >> x >> k;
std::vector<int> stk;
for (int i = 1; i <= x; i++) {
std::cin >> arr[i];
while (!stk.empty()&&arr[i]>=arr[stk.back()]) {
stk.pop_back();
}
pge[i] = ((stk.empty()) ? 0 : stk.back());
stk.emplace_back(i);
}
for (int i = 1; i <= x; i++) {
dp[1][i] = std::max(dp[1][i-1],arr[i]);
}
dp[1][0] = 0x3f3f3f3f;
for (int i = 0; i <= x; i++) {
update(1,0,x,i,dp[1][i]);
}
for (int p = 2; p <= k; p++) {
augment(p);
}
std::cout << dp[k][x] << "\n";
}
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