#include <bits/stdc++.h>
using namespace std;
#define pb push_back
#define fr first
#define sc second
#define clr(a, x) memset(a, x, sizeof(a))
#define dbg(x) cout<<"("<<#x<<"): "<<x<<endl;
#define printvector(arr) for (auto it = arr.begin(); it != arr.end(); ++it) cout<<*it<<" "; cout<<endl;
#define all(v) v.begin(), v.end()
#define lcm(a, b) (a * b)/__gcd(a, b)
#define int long long int
#define printvecpairs(vec) for(auto it: vec) cout<<it.fr<<' '<<it.sc<<endl;
#define endl '\n'
#define float long double
const int MOD = 1e9 + 7;
const int INF = 2e15;
const int MAXN = 1e5 + 5;
struct SparseTable {
int n, k;
vector<int> a;
vector<vector<int>> st;
void init(vector<int> a) {
this->a = a;
n = (int) a.size();
k = lg(n);
st.assign(n + 1, vector<int>(k + 1));
build();
}
int lg(int x) { return 31 - __builtin_clz(x); }
int merge(int x, int y) {
if(a[x] < a[y]) return x;
return y;
}
void build() {
for (int i = 0; i < n; i++) st[i][0] = i;
for (int j = 1; j <= k; j++)
for (int i = 0; i + (1 << j) - 1 < n; i++)
st[i][j] = merge(st[i][j - 1], st[i + (1 << (j - 1))][j - 1]);
}
int query(int l, int r) {
int j = lg(r - l + 1);
int idx = merge(st[l][j], st[r - (1 << j) + 1][j]);
return a[idx];
}
};
signed main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
#ifdef LOCAL
freopen("input.txt", "r", stdin);
#endif
int n, k;
cin>>n>>k;
int a[n+3];
for(int i= 1;i<=n;i++){
cin>>a[i];
}
int dp[n+3][k+3];
for(int i= 0;i<=n;i++){
for(int j= 0;j<=k;j++){
dp[i][j] = INF;
}
}
dp[0][1] = 0;
for(int i = 1;i<=n;i++) {
dp[i][1] = max(dp[i-1][1], a[i]);
}
vector<int> nice;
for(int i= 0;i<n;i++){
nice.pb(a[i+1]);
}
int prev[n+2];
clr(prev, 0);
stack<pair<int, int>> s;
s.push({a[1], 1});
for(int i= 2;i<=n;i++){
while(s.empty() == false && s.top().fr < a[i]) s.pop();
if(!s.empty()){
prev[i] = s.top().sc;
}
s.push({a[i], i});
}
SparseTable st;
for(int j= 2;j<=k;j++){
vector<int> arr;
for(int i =1;i<=n;i++){
arr.pb(dp[i][j-1]);
}
st.init(arr);
st.build();
for(int i= 1;i<=n;i++){
dp[i][j] = INF;
if(i < j) continue;
int x = prev[i];
int lo = max(x, 1LL);
int hi = i-1;
if(lo <= hi){
dp[i][j] = min(st.query(lo-1, hi-1)+a[i], dp[i][j]);
}
dp[i][j] = min(dp[max(x, 0LL)][j], dp[i][j]);
}
}
cout<<dp[n][k]<<endl;
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
0 ms |
364 KB |
Output is correct |
7 |
Correct |
0 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
0 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
0 ms |
364 KB |
Output is correct |
12 |
Correct |
1 ms |
364 KB |
Output is correct |
13 |
Correct |
1 ms |
364 KB |
Output is correct |
14 |
Correct |
1 ms |
364 KB |
Output is correct |
15 |
Correct |
1 ms |
364 KB |
Output is correct |
16 |
Correct |
1 ms |
364 KB |
Output is correct |
17 |
Correct |
0 ms |
364 KB |
Output is correct |
18 |
Correct |
1 ms |
364 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
0 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
0 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
0 ms |
364 KB |
Output is correct |
9 |
Correct |
0 ms |
364 KB |
Output is correct |
10 |
Correct |
0 ms |
364 KB |
Output is correct |
11 |
Correct |
0 ms |
364 KB |
Output is correct |
12 |
Correct |
0 ms |
364 KB |
Output is correct |
13 |
Correct |
1 ms |
364 KB |
Output is correct |
14 |
Correct |
1 ms |
364 KB |
Output is correct |
15 |
Correct |
1 ms |
364 KB |
Output is correct |
16 |
Correct |
1 ms |
364 KB |
Output is correct |
17 |
Correct |
1 ms |
364 KB |
Output is correct |
18 |
Correct |
1 ms |
364 KB |
Output is correct |
19 |
Correct |
1 ms |
364 KB |
Output is correct |
20 |
Correct |
1 ms |
364 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
0 ms |
364 KB |
Output is correct |
7 |
Correct |
0 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
0 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
0 ms |
364 KB |
Output is correct |
12 |
Correct |
1 ms |
364 KB |
Output is correct |
13 |
Correct |
1 ms |
364 KB |
Output is correct |
14 |
Correct |
1 ms |
364 KB |
Output is correct |
15 |
Correct |
1 ms |
364 KB |
Output is correct |
16 |
Correct |
1 ms |
364 KB |
Output is correct |
17 |
Correct |
0 ms |
364 KB |
Output is correct |
18 |
Correct |
1 ms |
364 KB |
Output is correct |
19 |
Correct |
1 ms |
364 KB |
Output is correct |
20 |
Correct |
0 ms |
364 KB |
Output is correct |
21 |
Correct |
1 ms |
364 KB |
Output is correct |
22 |
Correct |
1 ms |
364 KB |
Output is correct |
23 |
Correct |
1 ms |
364 KB |
Output is correct |
24 |
Correct |
0 ms |
364 KB |
Output is correct |
25 |
Correct |
1 ms |
364 KB |
Output is correct |
26 |
Correct |
0 ms |
364 KB |
Output is correct |
27 |
Correct |
0 ms |
364 KB |
Output is correct |
28 |
Correct |
0 ms |
364 KB |
Output is correct |
29 |
Correct |
0 ms |
364 KB |
Output is correct |
30 |
Correct |
0 ms |
364 KB |
Output is correct |
31 |
Correct |
1 ms |
364 KB |
Output is correct |
32 |
Correct |
1 ms |
364 KB |
Output is correct |
33 |
Correct |
1 ms |
364 KB |
Output is correct |
34 |
Correct |
1 ms |
364 KB |
Output is correct |
35 |
Correct |
1 ms |
364 KB |
Output is correct |
36 |
Correct |
1 ms |
364 KB |
Output is correct |
37 |
Correct |
1 ms |
364 KB |
Output is correct |
38 |
Correct |
1 ms |
364 KB |
Output is correct |
39 |
Correct |
1 ms |
364 KB |
Output is correct |
40 |
Correct |
1 ms |
364 KB |
Output is correct |
41 |
Correct |
1 ms |
364 KB |
Output is correct |
42 |
Correct |
1 ms |
364 KB |
Output is correct |
43 |
Correct |
0 ms |
364 KB |
Output is correct |
44 |
Correct |
1 ms |
364 KB |
Output is correct |
45 |
Correct |
1 ms |
364 KB |
Output is correct |
46 |
Correct |
0 ms |
364 KB |
Output is correct |
47 |
Correct |
0 ms |
364 KB |
Output is correct |
48 |
Correct |
0 ms |
364 KB |
Output is correct |
49 |
Correct |
0 ms |
364 KB |
Output is correct |
50 |
Correct |
1 ms |
364 KB |
Output is correct |
51 |
Correct |
1 ms |
364 KB |
Output is correct |
52 |
Correct |
1 ms |
364 KB |
Output is correct |
53 |
Correct |
1 ms |
364 KB |
Output is correct |
54 |
Correct |
1 ms |
364 KB |
Output is correct |
55 |
Correct |
1 ms |
364 KB |
Output is correct |
56 |
Correct |
1 ms |
364 KB |
Output is correct |
57 |
Correct |
1 ms |
364 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
0 ms |
364 KB |
Output is correct |
7 |
Correct |
0 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
0 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
0 ms |
364 KB |
Output is correct |
12 |
Correct |
1 ms |
364 KB |
Output is correct |
13 |
Correct |
1 ms |
364 KB |
Output is correct |
14 |
Correct |
1 ms |
364 KB |
Output is correct |
15 |
Correct |
1 ms |
364 KB |
Output is correct |
16 |
Correct |
1 ms |
364 KB |
Output is correct |
17 |
Correct |
0 ms |
364 KB |
Output is correct |
18 |
Correct |
1 ms |
364 KB |
Output is correct |
19 |
Correct |
1 ms |
364 KB |
Output is correct |
20 |
Correct |
0 ms |
364 KB |
Output is correct |
21 |
Correct |
1 ms |
364 KB |
Output is correct |
22 |
Correct |
1 ms |
364 KB |
Output is correct |
23 |
Correct |
1 ms |
364 KB |
Output is correct |
24 |
Correct |
0 ms |
364 KB |
Output is correct |
25 |
Correct |
1 ms |
364 KB |
Output is correct |
26 |
Correct |
0 ms |
364 KB |
Output is correct |
27 |
Correct |
0 ms |
364 KB |
Output is correct |
28 |
Correct |
0 ms |
364 KB |
Output is correct |
29 |
Correct |
0 ms |
364 KB |
Output is correct |
30 |
Correct |
0 ms |
364 KB |
Output is correct |
31 |
Correct |
1 ms |
364 KB |
Output is correct |
32 |
Correct |
1 ms |
364 KB |
Output is correct |
33 |
Correct |
1 ms |
364 KB |
Output is correct |
34 |
Correct |
1 ms |
364 KB |
Output is correct |
35 |
Correct |
1 ms |
364 KB |
Output is correct |
36 |
Correct |
1 ms |
364 KB |
Output is correct |
37 |
Correct |
1 ms |
364 KB |
Output is correct |
38 |
Correct |
1 ms |
364 KB |
Output is correct |
39 |
Correct |
1 ms |
364 KB |
Output is correct |
40 |
Correct |
1 ms |
364 KB |
Output is correct |
41 |
Correct |
1 ms |
364 KB |
Output is correct |
42 |
Correct |
1 ms |
364 KB |
Output is correct |
43 |
Correct |
0 ms |
364 KB |
Output is correct |
44 |
Correct |
1 ms |
364 KB |
Output is correct |
45 |
Correct |
1 ms |
364 KB |
Output is correct |
46 |
Correct |
0 ms |
364 KB |
Output is correct |
47 |
Correct |
0 ms |
364 KB |
Output is correct |
48 |
Correct |
0 ms |
364 KB |
Output is correct |
49 |
Correct |
0 ms |
364 KB |
Output is correct |
50 |
Correct |
1 ms |
364 KB |
Output is correct |
51 |
Correct |
1 ms |
364 KB |
Output is correct |
52 |
Correct |
1 ms |
364 KB |
Output is correct |
53 |
Correct |
1 ms |
364 KB |
Output is correct |
54 |
Correct |
1 ms |
364 KB |
Output is correct |
55 |
Correct |
1 ms |
364 KB |
Output is correct |
56 |
Correct |
1 ms |
364 KB |
Output is correct |
57 |
Correct |
1 ms |
364 KB |
Output is correct |
58 |
Correct |
35 ms |
4588 KB |
Output is correct |
59 |
Correct |
7 ms |
2924 KB |
Output is correct |
60 |
Correct |
114 ms |
13520 KB |
Output is correct |
61 |
Execution timed out |
1090 ms |
37604 KB |
Time limit exceeded |
62 |
Halted |
0 ms |
0 KB |
- |