#include <iostream>
#include <stack>
using namespace std;
const int MAX_N = 1e5;
const int MAX_K = 1e2;
const int MAX_L = 17;
const int INF = (1 << 30);
int a[MAX_N + 1], l[MAX_N + 1];
int dp[MAX_N + 1][MAX_K + 1], rmq[MAX_L + 1][MAX_N + 1], log[MAX_N + 1];
int n, k;
void precalc() {
stack<int> st;
for (int i = 1; i <= n; i++) {
while (!st.empty() && a[i] >= a[st.top()]) {
st.pop();
}
if (st.empty()) {
l[i] = 0;
} else {
l[i] = st.top();
}
st.push(i);
}
}
void build() {
for (int i = 1; i <= MAX_L; i++) {
for (int j = 1; j <= n; j++) {
if (j + (1 << (i - 1)) <= n) {
rmq[i][j] = min(rmq[i - 1][j], rmq[i - 1][j + (1 << (i - 1))]);
}
}
}
}
int query(int l, int r) {
int p = log[r - l + 1];
return min(rmq[p][l], rmq[p][r - (1 << p) + 1]);
}
int main() {
cin >> n >> k;
for (int i = 1; i <= n; i++) {
cin >> a[i];
}
for (int i = 1; i <= n; i++) {
for (int j = 1; j <= k; j++) {
dp[i][j] = INF;
}
}
int mx = 0;
for (int i = 1; i <= n; i++) {
mx = max(mx, a[i]);
dp[i][1] = mx;
}
precalc();
for (int i = 2; i <= MAX_N; i++) {
log[i] = log[i >> 1] + 1;
}
for (int blocks = 2; blocks <= k; blocks++) {
for (int i = 1; i <= n; i++) {
rmq[0][i] = dp[i][blocks - 1];
}
build();
for (int i = blocks; i <= n; i++) {
if (l[i] == 0) {
dp[i][blocks] = a[i] + query(1, i - 1);
} else {
dp[i][blocks] = min(dp[l[i]][blocks], a[i] + query(l[i], i - 1));
}
}
}
cout << dp[n][k];
return 0;
}
Compilation message
blocks.cpp:11:58: warning: built-in function 'log' declared as non-function [-Wbuiltin-declaration-mismatch]
11 | int dp[MAX_N + 1][MAX_K + 1], rmq[MAX_L + 1][MAX_N + 1], log[MAX_N + 1];
| ^~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
724 KB |
Output is correct |
2 |
Correct |
1 ms |
724 KB |
Output is correct |
3 |
Correct |
1 ms |
724 KB |
Output is correct |
4 |
Correct |
1 ms |
692 KB |
Output is correct |
5 |
Correct |
1 ms |
724 KB |
Output is correct |
6 |
Correct |
1 ms |
696 KB |
Output is correct |
7 |
Correct |
1 ms |
724 KB |
Output is correct |
8 |
Correct |
1 ms |
724 KB |
Output is correct |
9 |
Correct |
1 ms |
724 KB |
Output is correct |
10 |
Correct |
1 ms |
724 KB |
Output is correct |
11 |
Correct |
1 ms |
724 KB |
Output is correct |
12 |
Correct |
1 ms |
724 KB |
Output is correct |
13 |
Correct |
1 ms |
724 KB |
Output is correct |
14 |
Correct |
1 ms |
724 KB |
Output is correct |
15 |
Correct |
1 ms |
724 KB |
Output is correct |
16 |
Correct |
1 ms |
724 KB |
Output is correct |
17 |
Correct |
1 ms |
724 KB |
Output is correct |
18 |
Correct |
1 ms |
724 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
724 KB |
Output is correct |
2 |
Correct |
1 ms |
724 KB |
Output is correct |
3 |
Correct |
1 ms |
724 KB |
Output is correct |
4 |
Correct |
1 ms |
692 KB |
Output is correct |
5 |
Correct |
1 ms |
724 KB |
Output is correct |
6 |
Correct |
1 ms |
724 KB |
Output is correct |
7 |
Correct |
1 ms |
724 KB |
Output is correct |
8 |
Correct |
1 ms |
692 KB |
Output is correct |
9 |
Correct |
1 ms |
724 KB |
Output is correct |
10 |
Correct |
1 ms |
724 KB |
Output is correct |
11 |
Correct |
1 ms |
724 KB |
Output is correct |
12 |
Correct |
1 ms |
724 KB |
Output is correct |
13 |
Correct |
1 ms |
692 KB |
Output is correct |
14 |
Correct |
1 ms |
724 KB |
Output is correct |
15 |
Correct |
1 ms |
724 KB |
Output is correct |
16 |
Correct |
1 ms |
724 KB |
Output is correct |
17 |
Correct |
1 ms |
692 KB |
Output is correct |
18 |
Correct |
1 ms |
724 KB |
Output is correct |
19 |
Correct |
1 ms |
724 KB |
Output is correct |
20 |
Correct |
1 ms |
688 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
724 KB |
Output is correct |
2 |
Correct |
1 ms |
724 KB |
Output is correct |
3 |
Correct |
1 ms |
724 KB |
Output is correct |
4 |
Correct |
1 ms |
692 KB |
Output is correct |
5 |
Correct |
1 ms |
724 KB |
Output is correct |
6 |
Correct |
1 ms |
696 KB |
Output is correct |
7 |
Correct |
1 ms |
724 KB |
Output is correct |
8 |
Correct |
1 ms |
724 KB |
Output is correct |
9 |
Correct |
1 ms |
724 KB |
Output is correct |
10 |
Correct |
1 ms |
724 KB |
Output is correct |
11 |
Correct |
1 ms |
724 KB |
Output is correct |
12 |
Correct |
1 ms |
724 KB |
Output is correct |
13 |
Correct |
1 ms |
724 KB |
Output is correct |
14 |
Correct |
1 ms |
724 KB |
Output is correct |
15 |
Correct |
1 ms |
724 KB |
Output is correct |
16 |
Correct |
1 ms |
724 KB |
Output is correct |
17 |
Correct |
1 ms |
724 KB |
Output is correct |
18 |
Correct |
1 ms |
724 KB |
Output is correct |
19 |
Correct |
1 ms |
724 KB |
Output is correct |
20 |
Correct |
1 ms |
724 KB |
Output is correct |
21 |
Correct |
1 ms |
724 KB |
Output is correct |
22 |
Correct |
1 ms |
692 KB |
Output is correct |
23 |
Correct |
1 ms |
724 KB |
Output is correct |
24 |
Correct |
1 ms |
724 KB |
Output is correct |
25 |
Correct |
1 ms |
724 KB |
Output is correct |
26 |
Correct |
1 ms |
692 KB |
Output is correct |
27 |
Correct |
1 ms |
724 KB |
Output is correct |
28 |
Correct |
1 ms |
724 KB |
Output is correct |
29 |
Correct |
1 ms |
724 KB |
Output is correct |
30 |
Correct |
1 ms |
724 KB |
Output is correct |
31 |
Correct |
1 ms |
692 KB |
Output is correct |
32 |
Correct |
1 ms |
724 KB |
Output is correct |
33 |
Correct |
1 ms |
724 KB |
Output is correct |
34 |
Correct |
1 ms |
724 KB |
Output is correct |
35 |
Correct |
1 ms |
692 KB |
Output is correct |
36 |
Correct |
1 ms |
724 KB |
Output is correct |
37 |
Correct |
1 ms |
724 KB |
Output is correct |
38 |
Correct |
1 ms |
688 KB |
Output is correct |
39 |
Correct |
1 ms |
724 KB |
Output is correct |
40 |
Correct |
1 ms |
724 KB |
Output is correct |
41 |
Correct |
1 ms |
692 KB |
Output is correct |
42 |
Correct |
1 ms |
724 KB |
Output is correct |
43 |
Correct |
1 ms |
724 KB |
Output is correct |
44 |
Correct |
1 ms |
724 KB |
Output is correct |
45 |
Correct |
1 ms |
724 KB |
Output is correct |
46 |
Correct |
1 ms |
848 KB |
Output is correct |
47 |
Correct |
1 ms |
688 KB |
Output is correct |
48 |
Correct |
1 ms |
724 KB |
Output is correct |
49 |
Correct |
1 ms |
724 KB |
Output is correct |
50 |
Correct |
1 ms |
724 KB |
Output is correct |
51 |
Correct |
1 ms |
724 KB |
Output is correct |
52 |
Correct |
1 ms |
724 KB |
Output is correct |
53 |
Correct |
1 ms |
692 KB |
Output is correct |
54 |
Correct |
1 ms |
724 KB |
Output is correct |
55 |
Correct |
1 ms |
688 KB |
Output is correct |
56 |
Correct |
1 ms |
724 KB |
Output is correct |
57 |
Correct |
1 ms |
724 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
724 KB |
Output is correct |
2 |
Correct |
1 ms |
724 KB |
Output is correct |
3 |
Correct |
1 ms |
724 KB |
Output is correct |
4 |
Correct |
1 ms |
692 KB |
Output is correct |
5 |
Correct |
1 ms |
724 KB |
Output is correct |
6 |
Correct |
1 ms |
696 KB |
Output is correct |
7 |
Correct |
1 ms |
724 KB |
Output is correct |
8 |
Correct |
1 ms |
724 KB |
Output is correct |
9 |
Correct |
1 ms |
724 KB |
Output is correct |
10 |
Correct |
1 ms |
724 KB |
Output is correct |
11 |
Correct |
1 ms |
724 KB |
Output is correct |
12 |
Correct |
1 ms |
724 KB |
Output is correct |
13 |
Correct |
1 ms |
724 KB |
Output is correct |
14 |
Correct |
1 ms |
724 KB |
Output is correct |
15 |
Correct |
1 ms |
724 KB |
Output is correct |
16 |
Correct |
1 ms |
724 KB |
Output is correct |
17 |
Correct |
1 ms |
724 KB |
Output is correct |
18 |
Correct |
1 ms |
724 KB |
Output is correct |
19 |
Correct |
1 ms |
724 KB |
Output is correct |
20 |
Correct |
1 ms |
724 KB |
Output is correct |
21 |
Correct |
1 ms |
724 KB |
Output is correct |
22 |
Correct |
1 ms |
692 KB |
Output is correct |
23 |
Correct |
1 ms |
724 KB |
Output is correct |
24 |
Correct |
1 ms |
724 KB |
Output is correct |
25 |
Correct |
1 ms |
724 KB |
Output is correct |
26 |
Correct |
1 ms |
692 KB |
Output is correct |
27 |
Correct |
1 ms |
724 KB |
Output is correct |
28 |
Correct |
1 ms |
724 KB |
Output is correct |
29 |
Correct |
1 ms |
724 KB |
Output is correct |
30 |
Correct |
1 ms |
724 KB |
Output is correct |
31 |
Correct |
1 ms |
692 KB |
Output is correct |
32 |
Correct |
1 ms |
724 KB |
Output is correct |
33 |
Correct |
1 ms |
724 KB |
Output is correct |
34 |
Correct |
1 ms |
724 KB |
Output is correct |
35 |
Correct |
1 ms |
692 KB |
Output is correct |
36 |
Correct |
1 ms |
724 KB |
Output is correct |
37 |
Correct |
1 ms |
724 KB |
Output is correct |
38 |
Correct |
1 ms |
688 KB |
Output is correct |
39 |
Correct |
1 ms |
724 KB |
Output is correct |
40 |
Correct |
1 ms |
724 KB |
Output is correct |
41 |
Correct |
1 ms |
692 KB |
Output is correct |
42 |
Correct |
1 ms |
724 KB |
Output is correct |
43 |
Correct |
1 ms |
724 KB |
Output is correct |
44 |
Correct |
1 ms |
724 KB |
Output is correct |
45 |
Correct |
1 ms |
724 KB |
Output is correct |
46 |
Correct |
1 ms |
848 KB |
Output is correct |
47 |
Correct |
1 ms |
688 KB |
Output is correct |
48 |
Correct |
1 ms |
724 KB |
Output is correct |
49 |
Correct |
1 ms |
724 KB |
Output is correct |
50 |
Correct |
1 ms |
724 KB |
Output is correct |
51 |
Correct |
1 ms |
724 KB |
Output is correct |
52 |
Correct |
1 ms |
724 KB |
Output is correct |
53 |
Correct |
1 ms |
692 KB |
Output is correct |
54 |
Correct |
1 ms |
724 KB |
Output is correct |
55 |
Correct |
1 ms |
688 KB |
Output is correct |
56 |
Correct |
1 ms |
724 KB |
Output is correct |
57 |
Correct |
1 ms |
724 KB |
Output is correct |
58 |
Correct |
10 ms |
5332 KB |
Output is correct |
59 |
Correct |
20 ms |
18896 KB |
Output is correct |
60 |
Correct |
28 ms |
21668 KB |
Output is correct |
61 |
Correct |
112 ms |
21688 KB |
Output is correct |
62 |
Correct |
475 ms |
48148 KB |
Output is correct |
63 |
Correct |
53 ms |
48204 KB |
Output is correct |
64 |
Correct |
225 ms |
48232 KB |
Output is correct |
65 |
Correct |
1 ms |
724 KB |
Output is correct |
66 |
Correct |
1 ms |
724 KB |
Output is correct |
67 |
Correct |
1 ms |
724 KB |
Output is correct |
68 |
Correct |
1 ms |
688 KB |
Output is correct |
69 |
Correct |
1 ms |
1080 KB |
Output is correct |
70 |
Correct |
1 ms |
1108 KB |
Output is correct |
71 |
Correct |
26 ms |
5332 KB |
Output is correct |
72 |
Correct |
5 ms |
5312 KB |
Output is correct |
73 |
Correct |
10 ms |
5332 KB |
Output is correct |
74 |
Correct |
20 ms |
18924 KB |
Output is correct |
75 |
Correct |
28 ms |
21580 KB |
Output is correct |
76 |
Correct |
116 ms |
21688 KB |
Output is correct |
77 |
Correct |
412 ms |
48224 KB |
Output is correct |
78 |
Correct |
52 ms |
48160 KB |
Output is correct |
79 |
Correct |
216 ms |
48232 KB |
Output is correct |
80 |
Correct |
44 ms |
41644 KB |
Output is correct |
81 |
Correct |
87 ms |
48184 KB |
Output is correct |
82 |
Correct |
422 ms |
48236 KB |
Output is correct |
83 |
Correct |
2 ms |
1108 KB |
Output is correct |
84 |
Correct |
2 ms |
1108 KB |
Output is correct |
85 |
Correct |
28 ms |
5412 KB |
Output is correct |
86 |
Correct |
5 ms |
5392 KB |
Output is correct |
87 |
Correct |
15 ms |
5428 KB |
Output is correct |
88 |
Correct |
27 ms |
18948 KB |
Output is correct |
89 |
Correct |
30 ms |
21708 KB |
Output is correct |
90 |
Correct |
109 ms |
21688 KB |
Output is correct |
91 |
Correct |
400 ms |
48416 KB |
Output is correct |
92 |
Correct |
59 ms |
48328 KB |
Output is correct |
93 |
Correct |
209 ms |
48276 KB |
Output is correct |
94 |
Correct |
5 ms |
5332 KB |
Output is correct |
95 |
Correct |
28 ms |
5316 KB |
Output is correct |
96 |
Correct |
1 ms |
1108 KB |
Output is correct |
97 |
Correct |
1 ms |
1108 KB |
Output is correct |
98 |
Correct |
1 ms |
724 KB |
Output is correct |
99 |
Correct |
1 ms |
724 KB |
Output is correct |