// https://oj.uz/problem/view/IZhO14_blocks
#include <bits/stdc++.h>
using namespace std;
int N, K;
int a[100005], dp[105][100005], L[100005];
// int main() {
// cin >> N >> K;
// memset(dp, 1000000, sizeof(dp));
// for(int i = 1; i <= N; i ++) {
// cin >> a[i];
// }
// // THIS VERSION IS NOT OPTIMIZED, BUT WORKS PROPERLY
// for(int i = 1; i <= K; i ++) {
// for(int j = i; j <= N; j ++) {
// if(i == 1) {
// if(j == 1) {
// dp[i][j] = a[j];
// }
// else {
// dp[i][j] = max(dp[i][j - 1], a[j]);
// }
// }
// else if(i == j) {
// dp[i][j] = dp[i - 1][j - 1] + a[j];
// }
// else {
// int mx = a[j];
// for(int k = j - 1; k >= i - 1; k --) {
// dp[i][j] = min(dp[i][j], dp[i - 1][k] + mx);
// mx = max(mx, a[k]);
// }
// }
// }
// }
// cout << dp[K][N];
// }
int main() {
cin >> N >> K;
memset(dp, 1000000, sizeof(dp));
for(int i = 1; i <= N; i ++) {
cin >> a[i];
}
dp[1][0] = 0;
for(int i = 1; i <= N; i ++) {
dp[1][i] = max(dp[1][i - 1], a[i]);
}
for(int i = 2; i <= K; i ++) {
stack <pair <int, int> > st;
for(int j = i; j <= N; j ++) {
int minDP = dp[i - 1][j - 1];
while(!st.empty() && a[st.top().second] <= a[j]) {
minDP = min(minDP, st.top().first);
st.pop();
}
dp[i][j] = min(minDP + a[j], dp[i][st.empty() ? 0 : st.top().second]);
st.push(make_pair(minDP, j));
}
}
cout << dp[K][N];
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
16 ms |
41560 KB |
Output is correct |
2 |
Correct |
5 ms |
41564 KB |
Output is correct |
3 |
Correct |
7 ms |
41564 KB |
Output is correct |
4 |
Correct |
7 ms |
41560 KB |
Output is correct |
5 |
Correct |
6 ms |
41564 KB |
Output is correct |
6 |
Correct |
7 ms |
41564 KB |
Output is correct |
7 |
Correct |
6 ms |
41564 KB |
Output is correct |
8 |
Correct |
7 ms |
41664 KB |
Output is correct |
9 |
Correct |
6 ms |
41564 KB |
Output is correct |
10 |
Correct |
6 ms |
41696 KB |
Output is correct |
11 |
Correct |
6 ms |
41816 KB |
Output is correct |
12 |
Correct |
6 ms |
41564 KB |
Output is correct |
13 |
Correct |
6 ms |
41560 KB |
Output is correct |
14 |
Correct |
6 ms |
41564 KB |
Output is correct |
15 |
Correct |
7 ms |
41664 KB |
Output is correct |
16 |
Correct |
6 ms |
41572 KB |
Output is correct |
17 |
Correct |
6 ms |
41564 KB |
Output is correct |
18 |
Correct |
8 ms |
41564 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
41564 KB |
Output is correct |
2 |
Correct |
6 ms |
41560 KB |
Output is correct |
3 |
Correct |
6 ms |
41564 KB |
Output is correct |
4 |
Correct |
7 ms |
41752 KB |
Output is correct |
5 |
Correct |
6 ms |
41560 KB |
Output is correct |
6 |
Correct |
6 ms |
41564 KB |
Output is correct |
7 |
Correct |
6 ms |
41716 KB |
Output is correct |
8 |
Correct |
6 ms |
41564 KB |
Output is correct |
9 |
Correct |
8 ms |
41564 KB |
Output is correct |
10 |
Correct |
8 ms |
41820 KB |
Output is correct |
11 |
Correct |
7 ms |
41564 KB |
Output is correct |
12 |
Correct |
6 ms |
41708 KB |
Output is correct |
13 |
Correct |
7 ms |
41564 KB |
Output is correct |
14 |
Correct |
6 ms |
41704 KB |
Output is correct |
15 |
Correct |
6 ms |
41564 KB |
Output is correct |
16 |
Correct |
8 ms |
41564 KB |
Output is correct |
17 |
Correct |
6 ms |
41564 KB |
Output is correct |
18 |
Correct |
7 ms |
41564 KB |
Output is correct |
19 |
Correct |
6 ms |
41564 KB |
Output is correct |
20 |
Correct |
7 ms |
41564 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
16 ms |
41560 KB |
Output is correct |
2 |
Correct |
5 ms |
41564 KB |
Output is correct |
3 |
Correct |
7 ms |
41564 KB |
Output is correct |
4 |
Correct |
7 ms |
41560 KB |
Output is correct |
5 |
Correct |
6 ms |
41564 KB |
Output is correct |
6 |
Correct |
7 ms |
41564 KB |
Output is correct |
7 |
Correct |
6 ms |
41564 KB |
Output is correct |
8 |
Correct |
7 ms |
41664 KB |
Output is correct |
9 |
Correct |
6 ms |
41564 KB |
Output is correct |
10 |
Correct |
6 ms |
41696 KB |
Output is correct |
11 |
Correct |
6 ms |
41816 KB |
Output is correct |
12 |
Correct |
6 ms |
41564 KB |
Output is correct |
13 |
Correct |
6 ms |
41560 KB |
Output is correct |
14 |
Correct |
6 ms |
41564 KB |
Output is correct |
15 |
Correct |
7 ms |
41664 KB |
Output is correct |
16 |
Correct |
6 ms |
41572 KB |
Output is correct |
17 |
Correct |
6 ms |
41564 KB |
Output is correct |
18 |
Correct |
8 ms |
41564 KB |
Output is correct |
19 |
Correct |
6 ms |
41564 KB |
Output is correct |
20 |
Correct |
6 ms |
41560 KB |
Output is correct |
21 |
Correct |
6 ms |
41564 KB |
Output is correct |
22 |
Correct |
7 ms |
41752 KB |
Output is correct |
23 |
Correct |
6 ms |
41560 KB |
Output is correct |
24 |
Correct |
6 ms |
41564 KB |
Output is correct |
25 |
Correct |
6 ms |
41716 KB |
Output is correct |
26 |
Correct |
6 ms |
41564 KB |
Output is correct |
27 |
Correct |
8 ms |
41564 KB |
Output is correct |
28 |
Correct |
8 ms |
41820 KB |
Output is correct |
29 |
Correct |
7 ms |
41564 KB |
Output is correct |
30 |
Correct |
6 ms |
41708 KB |
Output is correct |
31 |
Correct |
7 ms |
41564 KB |
Output is correct |
32 |
Correct |
6 ms |
41704 KB |
Output is correct |
33 |
Correct |
6 ms |
41564 KB |
Output is correct |
34 |
Correct |
8 ms |
41564 KB |
Output is correct |
35 |
Correct |
6 ms |
41564 KB |
Output is correct |
36 |
Correct |
7 ms |
41564 KB |
Output is correct |
37 |
Correct |
6 ms |
41564 KB |
Output is correct |
38 |
Correct |
7 ms |
41564 KB |
Output is correct |
39 |
Correct |
7 ms |
41736 KB |
Output is correct |
40 |
Correct |
9 ms |
41564 KB |
Output is correct |
41 |
Correct |
7 ms |
41564 KB |
Output is correct |
42 |
Correct |
8 ms |
41564 KB |
Output is correct |
43 |
Correct |
8 ms |
41564 KB |
Output is correct |
44 |
Correct |
5 ms |
41564 KB |
Output is correct |
45 |
Correct |
8 ms |
41564 KB |
Output is correct |
46 |
Correct |
6 ms |
41720 KB |
Output is correct |
47 |
Correct |
7 ms |
41676 KB |
Output is correct |
48 |
Correct |
6 ms |
41564 KB |
Output is correct |
49 |
Correct |
8 ms |
41564 KB |
Output is correct |
50 |
Correct |
8 ms |
41676 KB |
Output is correct |
51 |
Correct |
7 ms |
41728 KB |
Output is correct |
52 |
Correct |
6 ms |
41736 KB |
Output is correct |
53 |
Correct |
7 ms |
41564 KB |
Output is correct |
54 |
Correct |
6 ms |
41684 KB |
Output is correct |
55 |
Correct |
6 ms |
41564 KB |
Output is correct |
56 |
Correct |
6 ms |
41564 KB |
Output is correct |
57 |
Correct |
6 ms |
41564 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
16 ms |
41560 KB |
Output is correct |
2 |
Correct |
5 ms |
41564 KB |
Output is correct |
3 |
Correct |
7 ms |
41564 KB |
Output is correct |
4 |
Correct |
7 ms |
41560 KB |
Output is correct |
5 |
Correct |
6 ms |
41564 KB |
Output is correct |
6 |
Correct |
7 ms |
41564 KB |
Output is correct |
7 |
Correct |
6 ms |
41564 KB |
Output is correct |
8 |
Correct |
7 ms |
41664 KB |
Output is correct |
9 |
Correct |
6 ms |
41564 KB |
Output is correct |
10 |
Correct |
6 ms |
41696 KB |
Output is correct |
11 |
Correct |
6 ms |
41816 KB |
Output is correct |
12 |
Correct |
6 ms |
41564 KB |
Output is correct |
13 |
Correct |
6 ms |
41560 KB |
Output is correct |
14 |
Correct |
6 ms |
41564 KB |
Output is correct |
15 |
Correct |
7 ms |
41664 KB |
Output is correct |
16 |
Correct |
6 ms |
41572 KB |
Output is correct |
17 |
Correct |
6 ms |
41564 KB |
Output is correct |
18 |
Correct |
8 ms |
41564 KB |
Output is correct |
19 |
Correct |
6 ms |
41564 KB |
Output is correct |
20 |
Correct |
6 ms |
41560 KB |
Output is correct |
21 |
Correct |
6 ms |
41564 KB |
Output is correct |
22 |
Correct |
7 ms |
41752 KB |
Output is correct |
23 |
Correct |
6 ms |
41560 KB |
Output is correct |
24 |
Correct |
6 ms |
41564 KB |
Output is correct |
25 |
Correct |
6 ms |
41716 KB |
Output is correct |
26 |
Correct |
6 ms |
41564 KB |
Output is correct |
27 |
Correct |
8 ms |
41564 KB |
Output is correct |
28 |
Correct |
8 ms |
41820 KB |
Output is correct |
29 |
Correct |
7 ms |
41564 KB |
Output is correct |
30 |
Correct |
6 ms |
41708 KB |
Output is correct |
31 |
Correct |
7 ms |
41564 KB |
Output is correct |
32 |
Correct |
6 ms |
41704 KB |
Output is correct |
33 |
Correct |
6 ms |
41564 KB |
Output is correct |
34 |
Correct |
8 ms |
41564 KB |
Output is correct |
35 |
Correct |
6 ms |
41564 KB |
Output is correct |
36 |
Correct |
7 ms |
41564 KB |
Output is correct |
37 |
Correct |
6 ms |
41564 KB |
Output is correct |
38 |
Correct |
7 ms |
41564 KB |
Output is correct |
39 |
Correct |
7 ms |
41736 KB |
Output is correct |
40 |
Correct |
9 ms |
41564 KB |
Output is correct |
41 |
Correct |
7 ms |
41564 KB |
Output is correct |
42 |
Correct |
8 ms |
41564 KB |
Output is correct |
43 |
Correct |
8 ms |
41564 KB |
Output is correct |
44 |
Correct |
5 ms |
41564 KB |
Output is correct |
45 |
Correct |
8 ms |
41564 KB |
Output is correct |
46 |
Correct |
6 ms |
41720 KB |
Output is correct |
47 |
Correct |
7 ms |
41676 KB |
Output is correct |
48 |
Correct |
6 ms |
41564 KB |
Output is correct |
49 |
Correct |
8 ms |
41564 KB |
Output is correct |
50 |
Correct |
8 ms |
41676 KB |
Output is correct |
51 |
Correct |
7 ms |
41728 KB |
Output is correct |
52 |
Correct |
6 ms |
41736 KB |
Output is correct |
53 |
Correct |
7 ms |
41564 KB |
Output is correct |
54 |
Correct |
6 ms |
41684 KB |
Output is correct |
55 |
Correct |
6 ms |
41564 KB |
Output is correct |
56 |
Correct |
6 ms |
41564 KB |
Output is correct |
57 |
Correct |
6 ms |
41564 KB |
Output is correct |
58 |
Correct |
11 ms |
41820 KB |
Output is correct |
59 |
Correct |
17 ms |
42332 KB |
Output is correct |
60 |
Correct |
20 ms |
42192 KB |
Output is correct |
61 |
Correct |
45 ms |
42208 KB |
Output is correct |
62 |
Correct |
115 ms |
42800 KB |
Output is correct |
63 |
Correct |
30 ms |
42640 KB |
Output is correct |
64 |
Correct |
66 ms |
42752 KB |
Output is correct |
65 |
Correct |
6 ms |
41560 KB |
Output is correct |
66 |
Correct |
6 ms |
41564 KB |
Output is correct |
67 |
Correct |
7 ms |
41660 KB |
Output is correct |
68 |
Correct |
6 ms |
41564 KB |
Output is correct |
69 |
Correct |
7 ms |
41668 KB |
Output is correct |
70 |
Correct |
7 ms |
41564 KB |
Output is correct |
71 |
Correct |
19 ms |
41820 KB |
Output is correct |
72 |
Correct |
10 ms |
41820 KB |
Output is correct |
73 |
Correct |
13 ms |
41860 KB |
Output is correct |
74 |
Correct |
17 ms |
42124 KB |
Output is correct |
75 |
Correct |
19 ms |
42272 KB |
Output is correct |
76 |
Correct |
59 ms |
42184 KB |
Output is correct |
77 |
Correct |
145 ms |
42796 KB |
Output is correct |
78 |
Correct |
36 ms |
42748 KB |
Output is correct |
79 |
Correct |
85 ms |
42564 KB |
Output is correct |
80 |
Correct |
32 ms |
42656 KB |
Output is correct |
81 |
Correct |
42 ms |
42800 KB |
Output is correct |
82 |
Correct |
151 ms |
42804 KB |
Output is correct |
83 |
Correct |
8 ms |
41564 KB |
Output is correct |
84 |
Correct |
7 ms |
41564 KB |
Output is correct |
85 |
Correct |
17 ms |
41820 KB |
Output is correct |
86 |
Correct |
8 ms |
41672 KB |
Output is correct |
87 |
Correct |
11 ms |
41832 KB |
Output is correct |
88 |
Correct |
17 ms |
42232 KB |
Output is correct |
89 |
Correct |
21 ms |
42144 KB |
Output is correct |
90 |
Correct |
48 ms |
42332 KB |
Output is correct |
91 |
Correct |
140 ms |
43100 KB |
Output is correct |
92 |
Correct |
31 ms |
42996 KB |
Output is correct |
93 |
Correct |
79 ms |
43084 KB |
Output is correct |
94 |
Correct |
8 ms |
41836 KB |
Output is correct |
95 |
Correct |
15 ms |
41704 KB |
Output is correct |
96 |
Correct |
6 ms |
41712 KB |
Output is correct |
97 |
Correct |
7 ms |
41564 KB |
Output is correct |
98 |
Correct |
6 ms |
41560 KB |
Output is correct |
99 |
Correct |
7 ms |
41564 KB |
Output is correct |