Submission #790138

#TimeUsernameProblemLanguageResultExecution timeMemory
790138n3rm1nStove (JOI18_stove)C++17
50 / 100
1094 ms1492 KiB
/// note: it's actually stove
#include<bits/stdc++.h>
#define endl '\n'
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
using namespace std;
const int MAXN = 1e5 + 10;
void speed()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    cout.tie(NULL);
}
int n, k, a[MAXN];

void read()
{
    cin >> n >> k;
    for (int i = 1; i <= n; ++ i)
        cin >> a[i];
}

vector < int > before(MAXN), dp(MAXN);
int inf = 1e9+10;
int best, best_opt, cost, cut;
void divide(int l, int r, int opt_left, int opt_right)
{
    if(l > r)return;
    int mid = (l + r)/2;
    dp[mid] = inf;
    best = inf;
    best_opt = -1;
    for (cut = opt_left; cut <= min(mid, opt_right); ++ cut)
    {
        cost = before[cut-1] + a[mid] - a[cut] + 1;
        if(cost < best)
        {
            best = cost;
            best_opt = cut;
        }
    }
    dp[mid] = best;
    divide(l, mid-1, opt_left, best_opt);
    divide(mid+1, r, best_opt, opt_right);

}
void solve()
{
    dp[0] = 0;
    for (int i = 1; i <= n; ++ i)
        dp[i] = inf;
    for (int i = 1; i <= k; ++ i)
    {
        before = dp;
        divide(1, n, 1, n);
    }
    cout << dp[n] << endl;
}
int main()
{
    speed();

    read();
    solve();
    return 0;
}
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