#include <bits/stdc++.h>
#define pb push_back
#define ll long long
#define pii pair<int, int>
#define xx first
#define yy second
#define MAXX 100000000010LL
#define MAXN 100010
#define MAXK 110
using namespace std;
ll seg[MAXK][4*MAXN], dp[MAXN][MAXK];
int a[MAXN];
int n, k, lv[MAXN];
ll query(int i, int node, int l, int r, int levo, int desno)
{
if (levo>r || desno<l) return MAXX;
if (levo<=l && desno>=r) return seg[i][node];
int mid=l+(r-l)/2;
return min(query(i, 2*node, l, mid, levo, desno),
query(i, 2*node+1, mid+1, r, levo, desno));
}
void upd(int i, int node, int l, int r, int pos, ll val)
{
if (pos>r || pos<l) return;
if (l==r) { seg[i][node]=val; return; }
int mid=l+(r-l)/2;
if (pos<=mid) upd(i, 2*node, l, mid, pos, val);
else upd(i, 2*node+1, mid+1, r, pos, val);
seg[i][node]=min(seg[i][2*node], seg[i][2*node+1]);
}
int main(){
ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
cin>>n>>k;
for (int i=1; i<=n; i++) cin>>a[i];
stack<pii> st;
st.push({1000010, 0});
for (int i=1; i<=n; i++)
{
while (st.top().xx<a[i]) st.pop();
lv[i]=st.top().yy;
//cout<<lv[i]<<" ";
st.push({a[i], i});
}
//cout<<endl;
for (int i=0; i<=n; i++) for (int j=0; j<=k; j++) { dp[i][j]=MAXX; upd(j, 1, 0, n-1, max(0, i-1), MAXX); }
dp[1][1]=a[1]; upd(1, 1, 0, n-1, 0, dp[1][1]);
//cout<<query(1, 1, 0, n-1, 0, 0)<<endl;
//cout<<query(0, 1, 0, n-1, 0, 0)<<endl;
for (int i=2; i<=n; i++)
{
//cout<<i<<endl;
for (int j=1; j<=min(k, i); j++)
{
if (j==1 && lv[i]==0) { dp[i][j]=a[i]; /*cout<<i<<" "<<j<<" "<<dp[i][j]<<endl;*/ continue; }
//cout<<"trazim "<<j-1<<" "<<lv[i]-1<<" "<<i-2<<endl;
dp[i][j]=query(j-1, 1, 0, n-1, max(0, lv[i]-1), i-1)+a[i];
//dp[i][j]=min(dp[i][j], query(j, 1, 0, n-1, lv[i], i-1)+a[i]);
//cout<<dp[i][j]<<" ";
dp[i][j]=min(dp[i][j], dp[lv[i]][j]);
//cout<<i<<" "<<j<<" "<<dp[i][j]<<endl;
}
for (int j=1; j<=min(k, i); j++) { /*cout<<"apdejtujem "<<j<<" "<<i-1<<endl;*/ upd(j, 1, 0, n-1, i-1, dp[i][j]); }
}
cout<<dp[n][k];
}
/*
5 3
1 | 4 2 5 | 3
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
1 ms |
332 KB |
Output is correct |
12 |
Correct |
1 ms |
332 KB |
Output is correct |
13 |
Correct |
1 ms |
460 KB |
Output is correct |
14 |
Correct |
1 ms |
460 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |
16 |
Correct |
1 ms |
332 KB |
Output is correct |
17 |
Correct |
1 ms |
332 KB |
Output is correct |
18 |
Correct |
1 ms |
460 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
1 ms |
332 KB |
Output is correct |
12 |
Correct |
1 ms |
332 KB |
Output is correct |
13 |
Correct |
1 ms |
332 KB |
Output is correct |
14 |
Correct |
1 ms |
332 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |
16 |
Correct |
1 ms |
460 KB |
Output is correct |
17 |
Correct |
1 ms |
460 KB |
Output is correct |
18 |
Correct |
1 ms |
332 KB |
Output is correct |
19 |
Correct |
1 ms |
460 KB |
Output is correct |
20 |
Correct |
1 ms |
460 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
1 ms |
332 KB |
Output is correct |
12 |
Correct |
1 ms |
332 KB |
Output is correct |
13 |
Correct |
1 ms |
460 KB |
Output is correct |
14 |
Correct |
1 ms |
460 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |
16 |
Correct |
1 ms |
332 KB |
Output is correct |
17 |
Correct |
1 ms |
332 KB |
Output is correct |
18 |
Correct |
1 ms |
460 KB |
Output is correct |
19 |
Correct |
1 ms |
332 KB |
Output is correct |
20 |
Correct |
1 ms |
332 KB |
Output is correct |
21 |
Correct |
1 ms |
332 KB |
Output is correct |
22 |
Correct |
1 ms |
332 KB |
Output is correct |
23 |
Correct |
1 ms |
332 KB |
Output is correct |
24 |
Correct |
1 ms |
332 KB |
Output is correct |
25 |
Correct |
1 ms |
332 KB |
Output is correct |
26 |
Correct |
1 ms |
332 KB |
Output is correct |
27 |
Correct |
1 ms |
332 KB |
Output is correct |
28 |
Correct |
1 ms |
332 KB |
Output is correct |
29 |
Correct |
1 ms |
332 KB |
Output is correct |
30 |
Correct |
1 ms |
332 KB |
Output is correct |
31 |
Correct |
1 ms |
332 KB |
Output is correct |
32 |
Correct |
1 ms |
332 KB |
Output is correct |
33 |
Correct |
1 ms |
332 KB |
Output is correct |
34 |
Correct |
1 ms |
460 KB |
Output is correct |
35 |
Correct |
1 ms |
460 KB |
Output is correct |
36 |
Correct |
1 ms |
332 KB |
Output is correct |
37 |
Correct |
1 ms |
460 KB |
Output is correct |
38 |
Correct |
1 ms |
460 KB |
Output is correct |
39 |
Correct |
2 ms |
844 KB |
Output is correct |
40 |
Correct |
1 ms |
332 KB |
Output is correct |
41 |
Correct |
1 ms |
332 KB |
Output is correct |
42 |
Correct |
1 ms |
288 KB |
Output is correct |
43 |
Correct |
1 ms |
332 KB |
Output is correct |
44 |
Correct |
1 ms |
332 KB |
Output is correct |
45 |
Correct |
1 ms |
332 KB |
Output is correct |
46 |
Correct |
1 ms |
332 KB |
Output is correct |
47 |
Correct |
1 ms |
332 KB |
Output is correct |
48 |
Correct |
1 ms |
332 KB |
Output is correct |
49 |
Correct |
1 ms |
332 KB |
Output is correct |
50 |
Correct |
1 ms |
332 KB |
Output is correct |
51 |
Correct |
1 ms |
588 KB |
Output is correct |
52 |
Correct |
1 ms |
588 KB |
Output is correct |
53 |
Correct |
3 ms |
1356 KB |
Output is correct |
54 |
Correct |
3 ms |
1356 KB |
Output is correct |
55 |
Correct |
2 ms |
844 KB |
Output is correct |
56 |
Correct |
3 ms |
1356 KB |
Output is correct |
57 |
Correct |
2 ms |
1356 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
1 ms |
332 KB |
Output is correct |
12 |
Correct |
1 ms |
332 KB |
Output is correct |
13 |
Correct |
1 ms |
460 KB |
Output is correct |
14 |
Correct |
1 ms |
460 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |
16 |
Correct |
1 ms |
332 KB |
Output is correct |
17 |
Correct |
1 ms |
332 KB |
Output is correct |
18 |
Correct |
1 ms |
460 KB |
Output is correct |
19 |
Correct |
1 ms |
332 KB |
Output is correct |
20 |
Correct |
1 ms |
332 KB |
Output is correct |
21 |
Correct |
1 ms |
332 KB |
Output is correct |
22 |
Correct |
1 ms |
332 KB |
Output is correct |
23 |
Correct |
1 ms |
332 KB |
Output is correct |
24 |
Correct |
1 ms |
332 KB |
Output is correct |
25 |
Correct |
1 ms |
332 KB |
Output is correct |
26 |
Correct |
1 ms |
332 KB |
Output is correct |
27 |
Correct |
1 ms |
332 KB |
Output is correct |
28 |
Correct |
1 ms |
332 KB |
Output is correct |
29 |
Correct |
1 ms |
332 KB |
Output is correct |
30 |
Correct |
1 ms |
332 KB |
Output is correct |
31 |
Correct |
1 ms |
332 KB |
Output is correct |
32 |
Correct |
1 ms |
332 KB |
Output is correct |
33 |
Correct |
1 ms |
332 KB |
Output is correct |
34 |
Correct |
1 ms |
460 KB |
Output is correct |
35 |
Correct |
1 ms |
460 KB |
Output is correct |
36 |
Correct |
1 ms |
332 KB |
Output is correct |
37 |
Correct |
1 ms |
460 KB |
Output is correct |
38 |
Correct |
1 ms |
460 KB |
Output is correct |
39 |
Correct |
2 ms |
844 KB |
Output is correct |
40 |
Correct |
1 ms |
332 KB |
Output is correct |
41 |
Correct |
1 ms |
332 KB |
Output is correct |
42 |
Correct |
1 ms |
288 KB |
Output is correct |
43 |
Correct |
1 ms |
332 KB |
Output is correct |
44 |
Correct |
1 ms |
332 KB |
Output is correct |
45 |
Correct |
1 ms |
332 KB |
Output is correct |
46 |
Correct |
1 ms |
332 KB |
Output is correct |
47 |
Correct |
1 ms |
332 KB |
Output is correct |
48 |
Correct |
1 ms |
332 KB |
Output is correct |
49 |
Correct |
1 ms |
332 KB |
Output is correct |
50 |
Correct |
1 ms |
332 KB |
Output is correct |
51 |
Correct |
1 ms |
588 KB |
Output is correct |
52 |
Correct |
1 ms |
588 KB |
Output is correct |
53 |
Correct |
3 ms |
1356 KB |
Output is correct |
54 |
Correct |
3 ms |
1356 KB |
Output is correct |
55 |
Correct |
2 ms |
844 KB |
Output is correct |
56 |
Correct |
3 ms |
1356 KB |
Output is correct |
57 |
Correct |
2 ms |
1356 KB |
Output is correct |
58 |
Correct |
108 ms |
15844 KB |
Output is correct |
59 |
Correct |
51 ms |
40936 KB |
Output is correct |
60 |
Correct |
180 ms |
47196 KB |
Output is correct |
61 |
Execution timed out |
1097 ms |
118468 KB |
Time limit exceeded |
62 |
Halted |
0 ms |
0 KB |
- |