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>
#include <random>
std::mt19937 rng(53);
int x, k;
int arr[100005];
int dp[105][100005];
int sp_tb[17][100005];
int query(int l, int r) {
int lvl = 31-__builtin_clz(r-l+1);
return std::max(sp_tb[lvl][l], sp_tb[lvl][r-(1<<lvl)+1]);
}
void divide(int l, int r, int optl, int optr, int idx) {
if (l>r) {
return;
}
int m = (l+r)>>1;
int opt = 0;
for (int rep = 0; rep < 18; rep++) {
int i = std::max(1,optl-100) + rng()%(std::min(optr+100,m)-std::max(1,optl-100)+1);
if (dp[idx][m] > dp[idx-1][i-1]+query(i,m)) {
dp[idx][m] = dp[idx-1][i-1]+query(i,m);
opt = i;
}
}
divide(l,m-1,optl,opt,idx);
divide(m+1,r,opt,optr,idx);
}
int main() {
std::ios_base::sync_with_stdio(false);
std::cin.tie(NULL);
std::cout.tie(NULL);
std::cin >> x >> k;
for (int i = 1; i <= x; i++) {
std::cin >> arr[i];
sp_tb[0][i] = arr[i];
}
for (int l = 1; l < 17; l++) {
for (int i = 1; i+(1<<l)-1 <= x; i++) {
sp_tb[l][i] = std::max(sp_tb[l-1][i],sp_tb[l-1][i+(1<<(l-1))]);
}
}
dp[1][0] = 0x3f3f3f3f;
for (int i = 1; i <= x; i++) {
dp[1][i] = query(1,i);
}
for (int i = 2; i <= k; i++) {
for (int j = 0; j <= x; j++) {
dp[i][j] = 0x3f3f3f3f;
}
divide(1,x,1,x,i);
}
std::cout << dp[k][x] << "\n";
}
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