#define BUGO(x) cerr << #x << " = " << (x) << '\n';
#include <iostream>
#include <algorithm>
#include <stack>
using namespace std;
using ll = long long;
ll inf = 1'000'000'000'000'000'000LL;
ll dp[100'002][102], a[100'002];
ll mn[4 * 100'002][102];
struct el {
ll x; int ind;
};
bool operator<(const el& a, const el& b) {
return a.x < b.x;
}
void Add(int v, int vl, int vr, int k, int pos) {
if(vl == vr){
mn[v][k] = dp[pos][k];
return;
}
int m = (vl + vr) / 2;
if(pos <= m)
Add(v * 2, vl, m, k, pos);
else Add(v * 2 + 1, m + 1, vr, k, pos);
mn[v][k] = min(mn[v * 2][k], mn[v * 2 + 1][k]);
}
ll Mn(int v, int vl, int vr, int k, int l, int r){
if(vl == l && vr == r){
return mn[v][k];
}
int m = (vl + vr) / 2;
ll res = inf;
if(l <= m) res = min(res, Mn(v * 2, vl, m, k, l, min(r, m)));
if(r > m) res = min(res, Mn(v * 2 + 1, m + 1, vr, k, max(l, m + 1), r));
return res;
}
int main()
{
int n, k;
cin >> n >> k;
for (int i = 1; i <= n; i++)
cin >> a[i];
for(int i = 0; i <= n; i++)
for(int curk = 1; curk <= k; curk++)
dp[i][curk] = inf;
for(int curk = 1; curk <= k; curk++) {
stack<el> x;
x.push({inf, 0});
for(int i = 1; i <= n; i++) {
while(x.top().x < a[i])x.pop();
el prev = x.top();
x.push({a[i], i});
if(i < curk){
Add(1, 1, n, curk, i);
continue;
}
if (curk == 1)
dp[i][curk] = i > 1 ? max(dp[i - 1][1], a[i]) : a[i];
else if (prev.ind == 0)
dp[i][curk] = ((i - 1 == 0)? 0: Mn(1, 1, n, curk - 1, 1, i - 1)) + a[i];
else
dp[i][curk] = min(dp[prev.ind][curk], Mn(1, 1, n, curk - 1, prev.ind, i - 1) + a[i]);
// cerr << "dp[" << i << "][" << curk << "] = " << dp[i][curk] << '\n';
Add(1, 1, n, curk, i);
}
}
/*for (int i = 0; i <= n; i++)
{
for (int curk = 0; curk <= k; curk++)
cerr << dp[i][curk] << ' ';
cerr << '\n';
}*/
cout << dp[n][k] << '\n';
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
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 |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
1 ms |
364 KB |
Output is correct |
12 |
Correct |
1 ms |
620 KB |
Output is correct |
13 |
Correct |
1 ms |
620 KB |
Output is correct |
14 |
Correct |
1 ms |
620 KB |
Output is correct |
15 |
Correct |
1 ms |
620 KB |
Output is correct |
16 |
Correct |
1 ms |
620 KB |
Output is correct |
17 |
Correct |
1 ms |
620 KB |
Output is correct |
18 |
Correct |
1 ms |
620 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 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 |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
1 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 |
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 |
# |
결과 |
실행 시간 |
메모리 |
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 |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
1 ms |
364 KB |
Output is correct |
12 |
Correct |
1 ms |
620 KB |
Output is correct |
13 |
Correct |
1 ms |
620 KB |
Output is correct |
14 |
Correct |
1 ms |
620 KB |
Output is correct |
15 |
Correct |
1 ms |
620 KB |
Output is correct |
16 |
Correct |
1 ms |
620 KB |
Output is correct |
17 |
Correct |
1 ms |
620 KB |
Output is correct |
18 |
Correct |
1 ms |
620 KB |
Output is correct |
19 |
Correct |
0 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 |
1 ms |
364 KB |
Output is correct |
25 |
Correct |
1 ms |
364 KB |
Output is correct |
26 |
Correct |
1 ms |
364 KB |
Output is correct |
27 |
Correct |
1 ms |
364 KB |
Output is correct |
28 |
Correct |
1 ms |
364 KB |
Output is correct |
29 |
Correct |
1 ms |
364 KB |
Output is correct |
30 |
Correct |
1 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 |
620 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 |
1 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 |
1 ms |
364 KB |
Output is correct |
47 |
Correct |
1 ms |
364 KB |
Output is correct |
48 |
Correct |
1 ms |
364 KB |
Output is correct |
49 |
Correct |
1 ms |
364 KB |
Output is correct |
50 |
Correct |
1 ms |
364 KB |
Output is correct |
51 |
Correct |
1 ms |
620 KB |
Output is correct |
52 |
Correct |
1 ms |
620 KB |
Output is correct |
53 |
Correct |
2 ms |
620 KB |
Output is correct |
54 |
Correct |
2 ms |
620 KB |
Output is correct |
55 |
Correct |
1 ms |
620 KB |
Output is correct |
56 |
Correct |
2 ms |
620 KB |
Output is correct |
57 |
Correct |
2 ms |
620 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
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 |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
1 ms |
364 KB |
Output is correct |
12 |
Correct |
1 ms |
620 KB |
Output is correct |
13 |
Correct |
1 ms |
620 KB |
Output is correct |
14 |
Correct |
1 ms |
620 KB |
Output is correct |
15 |
Correct |
1 ms |
620 KB |
Output is correct |
16 |
Correct |
1 ms |
620 KB |
Output is correct |
17 |
Correct |
1 ms |
620 KB |
Output is correct |
18 |
Correct |
1 ms |
620 KB |
Output is correct |
19 |
Correct |
0 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 |
1 ms |
364 KB |
Output is correct |
25 |
Correct |
1 ms |
364 KB |
Output is correct |
26 |
Correct |
1 ms |
364 KB |
Output is correct |
27 |
Correct |
1 ms |
364 KB |
Output is correct |
28 |
Correct |
1 ms |
364 KB |
Output is correct |
29 |
Correct |
1 ms |
364 KB |
Output is correct |
30 |
Correct |
1 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 |
620 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 |
1 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 |
1 ms |
364 KB |
Output is correct |
47 |
Correct |
1 ms |
364 KB |
Output is correct |
48 |
Correct |
1 ms |
364 KB |
Output is correct |
49 |
Correct |
1 ms |
364 KB |
Output is correct |
50 |
Correct |
1 ms |
364 KB |
Output is correct |
51 |
Correct |
1 ms |
620 KB |
Output is correct |
52 |
Correct |
1 ms |
620 KB |
Output is correct |
53 |
Correct |
2 ms |
620 KB |
Output is correct |
54 |
Correct |
2 ms |
620 KB |
Output is correct |
55 |
Correct |
1 ms |
620 KB |
Output is correct |
56 |
Correct |
2 ms |
620 KB |
Output is correct |
57 |
Correct |
2 ms |
620 KB |
Output is correct |
58 |
Correct |
109 ms |
30316 KB |
Output is correct |
59 |
Correct |
116 ms |
133612 KB |
Output is correct |
60 |
Correct |
211 ms |
133664 KB |
Output is correct |
61 |
Execution timed out |
1034 ms |
135660 KB |
Time limit exceeded |
62 |
Halted |
0 ms |
0 KB |
- |