Submission #1035994

#TimeUsernameProblemLanguageResultExecution timeMemory
1035994ByeWorldK blocks (IZhO14_blocks)C++14
100 / 100
223 ms89712 KiB
#include <bits/stdc++.h>
// #pragma GCC optimize("O3", "unroll-loops")
#define ll long long
#define int long long
#define pb push_back
#define fi first
#define se second
#define lf (id<<1)
#define rg ((id<<1)|1)
#define md ((l+r)>>1)
#define ld long double
using namespace std;
typedef pair<int,int> pii;
typedef pair<pii, int> ipii;
const int MAXN = 2e5+10;
const int MAXK = 110;
const int INF = 1e9+10;
const int LOG = 19;
const int MOD = 998244353;
const int SQRT = 450;
void chmn(int &a, int b){ a = min(a, b); }

int n, k, a[MAXN];
int dp[MAXN][MAXK];

signed main(){
    cin >> n >> k;
    for(int i=1; i<=n; i++){
        cin >> a[i];
    }
    for(int i=0; i<=n; i++)
        for(int j=0; j<=k; j++) dp[i][j] = INF;
    dp[0][0] = 0;
    
    for(int j=1; j<=k; j++){
        vector <int> vec, mn, pref;
        vec.pb(INF); mn.pb(INF); pref.pb(INF);
        // mn dp, pref dp
        for(int i=1; i<=n; i++){
            int runmn = dp[i-1][j-1];
            while(!vec.empty() && vec.back() <= a[i]){
                chmn(runmn, mn.back());
                vec.pop_back(); mn.pop_back(); pref.pop_back();
            }
            int prba = pref.back();
            vec.pb(a[i]); mn.pb(runmn);
            pref.pb(min(prba, vec.back() + mn.back()) );
            
            dp[i][j] = pref.back();
        }
    }
    cout << dp[n][k] << '\n';
}
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