#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 = 1e5+10;
const int MAXK = 110;
const ll INF = 1e18+10;
const int LOG = 19;
const int MOD = 1e9+7;
const int SQRT = 450;
const vector<int> NOL = {};
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const vector<int> dx = {1, -1, 0, 0};
const vector<int> dy = {0, 0, 1, -1};
void chmn(int &a, int b){ a = min(a, b); }
int n, k;
ll dp[MAXN][MAXK];
int sp[MAXN][LOG+5], a[MAXN];
int GET(int x, int y){
int lg = log2(y-x+1);
return max(sp[x][lg], sp[y-(1<<lg)+1][lg]);
}
void bd(int IDX, int l, int r, int optl, int optr){
if(l>r) return;
int mid = md; // dp[mid][IDX]
int opt = -1;
for(int i=optl; i<=min(optr, mid-1); i++){
ll te = dp[i][IDX-1] + GET(i+1, mid);
if(dp[mid][IDX] > te){
dp[mid][IDX] = te; opt = i;
}
}
bd(IDX, l, mid-1, optl, opt); bd(IDX, mid+1, r, opt, optr);
}
signed main(){
// ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
cin >> n >> k;
for(int i=1; i<=n; i++){ cin >> a[i]; sp[i][0] = a[i]; }
for(int j=1; j<LOG; j++){
for(int i=1; i<=n-(1<<j)+1; i++){
sp[i][j] = max(sp[i][j-1], sp[i+(1<<(j-1))][j-1]);
}
}
for(int p=0; p<=k; p++)
for(int i=0; i<=n; i++) dp[i][p] = INF;
dp[0][0] = 0;
for(int xx=1; xx<=k; xx++) bd(xx, xx, n, xx-1, n);
for(int p=1; p<=k; p++){
for(int i=p; i<=n; i++){
dp[i][p] = INF;
for(int j=p-1; j<=i-1; j++){
chmn(dp[i][p], dp[j][p-1] + GET(j+1, i));
}
}
}
cout << dp[n][k] << '\n';
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4600 KB |
Output is correct |
2 |
Correct |
1 ms |
4444 KB |
Output is correct |
3 |
Correct |
1 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4440 KB |
Output is correct |
5 |
Correct |
1 ms |
4444 KB |
Output is correct |
6 |
Correct |
1 ms |
4444 KB |
Output is correct |
7 |
Correct |
1 ms |
4444 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
1 ms |
4444 KB |
Output is correct |
12 |
Correct |
1 ms |
4444 KB |
Output is correct |
13 |
Correct |
1 ms |
4444 KB |
Output is correct |
14 |
Correct |
1 ms |
4544 KB |
Output is correct |
15 |
Correct |
1 ms |
4444 KB |
Output is correct |
16 |
Correct |
1 ms |
4544 KB |
Output is correct |
17 |
Correct |
1 ms |
4444 KB |
Output is correct |
18 |
Correct |
2 ms |
4444 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4444 KB |
Output is correct |
2 |
Correct |
1 ms |
4444 KB |
Output is correct |
3 |
Correct |
1 ms |
4440 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
1 ms |
4444 KB |
Output is correct |
6 |
Correct |
1 ms |
4540 KB |
Output is correct |
7 |
Correct |
1 ms |
4444 KB |
Output is correct |
8 |
Correct |
1 ms |
4440 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
1 ms |
4444 KB |
Output is correct |
12 |
Correct |
1 ms |
4444 KB |
Output is correct |
13 |
Correct |
1 ms |
4444 KB |
Output is correct |
14 |
Correct |
1 ms |
4444 KB |
Output is correct |
15 |
Correct |
1 ms |
4440 KB |
Output is correct |
16 |
Correct |
1 ms |
4444 KB |
Output is correct |
17 |
Correct |
1 ms |
4444 KB |
Output is correct |
18 |
Correct |
1 ms |
4444 KB |
Output is correct |
19 |
Correct |
1 ms |
4700 KB |
Output is correct |
20 |
Correct |
1 ms |
4444 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4600 KB |
Output is correct |
2 |
Correct |
1 ms |
4444 KB |
Output is correct |
3 |
Correct |
1 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4440 KB |
Output is correct |
5 |
Correct |
1 ms |
4444 KB |
Output is correct |
6 |
Correct |
1 ms |
4444 KB |
Output is correct |
7 |
Correct |
1 ms |
4444 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
1 ms |
4444 KB |
Output is correct |
12 |
Correct |
1 ms |
4444 KB |
Output is correct |
13 |
Correct |
1 ms |
4444 KB |
Output is correct |
14 |
Correct |
1 ms |
4544 KB |
Output is correct |
15 |
Correct |
1 ms |
4444 KB |
Output is correct |
16 |
Correct |
1 ms |
4544 KB |
Output is correct |
17 |
Correct |
1 ms |
4444 KB |
Output is correct |
18 |
Correct |
2 ms |
4444 KB |
Output is correct |
19 |
Correct |
1 ms |
4444 KB |
Output is correct |
20 |
Correct |
1 ms |
4444 KB |
Output is correct |
21 |
Correct |
1 ms |
4440 KB |
Output is correct |
22 |
Correct |
1 ms |
4444 KB |
Output is correct |
23 |
Correct |
1 ms |
4444 KB |
Output is correct |
24 |
Correct |
1 ms |
4540 KB |
Output is correct |
25 |
Correct |
1 ms |
4444 KB |
Output is correct |
26 |
Correct |
1 ms |
4440 KB |
Output is correct |
27 |
Correct |
1 ms |
4444 KB |
Output is correct |
28 |
Correct |
1 ms |
4444 KB |
Output is correct |
29 |
Correct |
1 ms |
4444 KB |
Output is correct |
30 |
Correct |
1 ms |
4444 KB |
Output is correct |
31 |
Correct |
1 ms |
4444 KB |
Output is correct |
32 |
Correct |
1 ms |
4444 KB |
Output is correct |
33 |
Correct |
1 ms |
4440 KB |
Output is correct |
34 |
Correct |
1 ms |
4444 KB |
Output is correct |
35 |
Correct |
1 ms |
4444 KB |
Output is correct |
36 |
Correct |
1 ms |
4444 KB |
Output is correct |
37 |
Correct |
1 ms |
4700 KB |
Output is correct |
38 |
Correct |
1 ms |
4444 KB |
Output is correct |
39 |
Correct |
3 ms |
4444 KB |
Output is correct |
40 |
Correct |
2 ms |
4444 KB |
Output is correct |
41 |
Correct |
1 ms |
4444 KB |
Output is correct |
42 |
Correct |
1 ms |
4444 KB |
Output is correct |
43 |
Correct |
1 ms |
4444 KB |
Output is correct |
44 |
Correct |
1 ms |
4444 KB |
Output is correct |
45 |
Correct |
1 ms |
4444 KB |
Output is correct |
46 |
Correct |
1 ms |
4444 KB |
Output is correct |
47 |
Correct |
1 ms |
4444 KB |
Output is correct |
48 |
Correct |
1 ms |
4540 KB |
Output is correct |
49 |
Correct |
1 ms |
4444 KB |
Output is correct |
50 |
Correct |
1 ms |
4444 KB |
Output is correct |
51 |
Correct |
3 ms |
4548 KB |
Output is correct |
52 |
Correct |
2 ms |
4552 KB |
Output is correct |
53 |
Correct |
3 ms |
4548 KB |
Output is correct |
54 |
Correct |
3 ms |
4444 KB |
Output is correct |
55 |
Correct |
3 ms |
4444 KB |
Output is correct |
56 |
Correct |
3 ms |
4444 KB |
Output is correct |
57 |
Correct |
3 ms |
4444 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4600 KB |
Output is correct |
2 |
Correct |
1 ms |
4444 KB |
Output is correct |
3 |
Correct |
1 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4440 KB |
Output is correct |
5 |
Correct |
1 ms |
4444 KB |
Output is correct |
6 |
Correct |
1 ms |
4444 KB |
Output is correct |
7 |
Correct |
1 ms |
4444 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
1 ms |
4444 KB |
Output is correct |
12 |
Correct |
1 ms |
4444 KB |
Output is correct |
13 |
Correct |
1 ms |
4444 KB |
Output is correct |
14 |
Correct |
1 ms |
4544 KB |
Output is correct |
15 |
Correct |
1 ms |
4444 KB |
Output is correct |
16 |
Correct |
1 ms |
4544 KB |
Output is correct |
17 |
Correct |
1 ms |
4444 KB |
Output is correct |
18 |
Correct |
2 ms |
4444 KB |
Output is correct |
19 |
Correct |
1 ms |
4444 KB |
Output is correct |
20 |
Correct |
1 ms |
4444 KB |
Output is correct |
21 |
Correct |
1 ms |
4440 KB |
Output is correct |
22 |
Correct |
1 ms |
4444 KB |
Output is correct |
23 |
Correct |
1 ms |
4444 KB |
Output is correct |
24 |
Correct |
1 ms |
4540 KB |
Output is correct |
25 |
Correct |
1 ms |
4444 KB |
Output is correct |
26 |
Correct |
1 ms |
4440 KB |
Output is correct |
27 |
Correct |
1 ms |
4444 KB |
Output is correct |
28 |
Correct |
1 ms |
4444 KB |
Output is correct |
29 |
Correct |
1 ms |
4444 KB |
Output is correct |
30 |
Correct |
1 ms |
4444 KB |
Output is correct |
31 |
Correct |
1 ms |
4444 KB |
Output is correct |
32 |
Correct |
1 ms |
4444 KB |
Output is correct |
33 |
Correct |
1 ms |
4440 KB |
Output is correct |
34 |
Correct |
1 ms |
4444 KB |
Output is correct |
35 |
Correct |
1 ms |
4444 KB |
Output is correct |
36 |
Correct |
1 ms |
4444 KB |
Output is correct |
37 |
Correct |
1 ms |
4700 KB |
Output is correct |
38 |
Correct |
1 ms |
4444 KB |
Output is correct |
39 |
Correct |
3 ms |
4444 KB |
Output is correct |
40 |
Correct |
2 ms |
4444 KB |
Output is correct |
41 |
Correct |
1 ms |
4444 KB |
Output is correct |
42 |
Correct |
1 ms |
4444 KB |
Output is correct |
43 |
Correct |
1 ms |
4444 KB |
Output is correct |
44 |
Correct |
1 ms |
4444 KB |
Output is correct |
45 |
Correct |
1 ms |
4444 KB |
Output is correct |
46 |
Correct |
1 ms |
4444 KB |
Output is correct |
47 |
Correct |
1 ms |
4444 KB |
Output is correct |
48 |
Correct |
1 ms |
4540 KB |
Output is correct |
49 |
Correct |
1 ms |
4444 KB |
Output is correct |
50 |
Correct |
1 ms |
4444 KB |
Output is correct |
51 |
Correct |
3 ms |
4548 KB |
Output is correct |
52 |
Correct |
2 ms |
4552 KB |
Output is correct |
53 |
Correct |
3 ms |
4548 KB |
Output is correct |
54 |
Correct |
3 ms |
4444 KB |
Output is correct |
55 |
Correct |
3 ms |
4444 KB |
Output is correct |
56 |
Correct |
3 ms |
4444 KB |
Output is correct |
57 |
Correct |
3 ms |
4444 KB |
Output is correct |
58 |
Execution timed out |
1047 ms |
14940 KB |
Time limit exceeded |
59 |
Halted |
0 ms |
0 KB |
- |