#include<bits/stdc++.h>
#define endl '\n'
using namespace std;
const long long MAXN = 1e5 + 10, MAXK = 105;
void speed()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
}
long long n, k, a[MAXN];
void read()
{
cin >> n >> k;
for (long long i = 1; i <= n; ++ i)
cin >> a[i];
}
long long dp[MAXN][MAXK];
long long maxused[MAXN][MAXK];
void solve()
{
long long inf = 1e17;
for (int i = 1; i <= n; ++ i)
for (int j = 0; j <= k; ++ j)
{
dp[i][j] = inf;
maxused[i][j] = inf;
}
dp[0][0] = 0;
maxused[0][0] = 0;
for (long long j = 1; j <= k; ++ j)
{
stack < pair <long long, long long > > t;
///t.push(make_pair(0, 0));
for (long long i = j; i <= n; ++ i)
{
///cout << "***" << endl;
dp[i][j] = inf;
dp[i][j] = dp[i-1][j-1] + a[i];
maxused[i][j] = a[i];
long long init = dp[i][j];
if(init >= inf)
{
maxused[i][j] = inf;
}
/// cout << "init " << init << " from " << dp[i-1][j-1] << endl;
while(!t.empty())
{
long long sz = t.top().first;
long long dpp = t.top().second;
if(maxused[sz][j] <= a[i])
{
if(dpp + a[i] - maxused[sz][j] < dp[i][j])
{
dp[i][j] = dpp + a[i] - maxused[sz][j];
maxused[i][j] = a[i];
/// cout <<"updated to " << dpp + a[i] - maxused[sz][j] << " from " << sz << endl;
}
t.pop();
}
else break;
}
if(t.size() == 0 || t.top().second > dp[i][j])
{
/// cout << "if (1) " << endl;
t.push(make_pair(i, dp[i][j]));
}
else
{
/// cout << "if (2) " << endl;
dp[i][j] = t.top().second;
maxused[i][j] = maxused[t.top().first][j];
}
/// cout << i << " " << j << " --> " << dp[i][j] << endl;
/// cout << "maxused " << maxused[i][j] << endl;
/// cout << "init was " << init << endl;
}
}
cout << dp[n][k] << endl;
}
int main()
{
speed();
read();
solve();
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2400 KB |
Output is correct |
2 |
Correct |
1 ms |
2392 KB |
Output is correct |
3 |
Correct |
0 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2392 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
2396 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 |
4440 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 |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
1 ms |
2512 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2392 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2508 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
2648 KB |
Output is correct |
12 |
Correct |
1 ms |
2396 KB |
Output is correct |
13 |
Correct |
1 ms |
2512 KB |
Output is correct |
14 |
Correct |
1 ms |
2392 KB |
Output is correct |
15 |
Correct |
1 ms |
2396 KB |
Output is correct |
16 |
Correct |
1 ms |
2396 KB |
Output is correct |
17 |
Correct |
1 ms |
2396 KB |
Output is correct |
18 |
Correct |
1 ms |
2648 KB |
Output is correct |
19 |
Correct |
1 ms |
2396 KB |
Output is correct |
20 |
Correct |
1 ms |
2396 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2400 KB |
Output is correct |
2 |
Correct |
1 ms |
2392 KB |
Output is correct |
3 |
Correct |
0 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2392 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
2396 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 |
4440 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 |
2392 KB |
Output is correct |
20 |
Correct |
1 ms |
2512 KB |
Output is correct |
21 |
Correct |
1 ms |
2396 KB |
Output is correct |
22 |
Correct |
1 ms |
2396 KB |
Output is correct |
23 |
Correct |
1 ms |
2396 KB |
Output is correct |
24 |
Correct |
1 ms |
2392 KB |
Output is correct |
25 |
Correct |
1 ms |
2396 KB |
Output is correct |
26 |
Correct |
1 ms |
2396 KB |
Output is correct |
27 |
Correct |
1 ms |
2508 KB |
Output is correct |
28 |
Correct |
1 ms |
2396 KB |
Output is correct |
29 |
Correct |
1 ms |
2648 KB |
Output is correct |
30 |
Correct |
1 ms |
2396 KB |
Output is correct |
31 |
Correct |
1 ms |
2512 KB |
Output is correct |
32 |
Correct |
1 ms |
2392 KB |
Output is correct |
33 |
Correct |
1 ms |
2396 KB |
Output is correct |
34 |
Correct |
1 ms |
2396 KB |
Output is correct |
35 |
Correct |
1 ms |
2396 KB |
Output is correct |
36 |
Correct |
1 ms |
2648 KB |
Output is correct |
37 |
Correct |
1 ms |
2396 KB |
Output is correct |
38 |
Correct |
1 ms |
2396 KB |
Output is correct |
39 |
Correct |
1 ms |
4440 KB |
Output is correct |
40 |
Correct |
1 ms |
2396 KB |
Output is correct |
41 |
Correct |
1 ms |
2396 KB |
Output is correct |
42 |
Correct |
1 ms |
2396 KB |
Output is correct |
43 |
Correct |
1 ms |
2396 KB |
Output is correct |
44 |
Correct |
1 ms |
2396 KB |
Output is correct |
45 |
Correct |
1 ms |
2396 KB |
Output is correct |
46 |
Correct |
1 ms |
2396 KB |
Output is correct |
47 |
Correct |
1 ms |
2396 KB |
Output is correct |
48 |
Correct |
1 ms |
2396 KB |
Output is correct |
49 |
Correct |
1 ms |
2396 KB |
Output is correct |
50 |
Correct |
1 ms |
2396 KB |
Output is correct |
51 |
Correct |
1 ms |
4444 KB |
Output is correct |
52 |
Correct |
1 ms |
4444 KB |
Output is correct |
53 |
Correct |
1 ms |
4444 KB |
Output is correct |
54 |
Correct |
1 ms |
4444 KB |
Output is correct |
55 |
Correct |
1 ms |
4444 KB |
Output is correct |
56 |
Correct |
1 ms |
4444 KB |
Output is correct |
57 |
Correct |
1 ms |
4444 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2400 KB |
Output is correct |
2 |
Correct |
1 ms |
2392 KB |
Output is correct |
3 |
Correct |
0 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2392 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
2396 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 |
4440 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 |
2392 KB |
Output is correct |
20 |
Correct |
1 ms |
2512 KB |
Output is correct |
21 |
Correct |
1 ms |
2396 KB |
Output is correct |
22 |
Correct |
1 ms |
2396 KB |
Output is correct |
23 |
Correct |
1 ms |
2396 KB |
Output is correct |
24 |
Correct |
1 ms |
2392 KB |
Output is correct |
25 |
Correct |
1 ms |
2396 KB |
Output is correct |
26 |
Correct |
1 ms |
2396 KB |
Output is correct |
27 |
Correct |
1 ms |
2508 KB |
Output is correct |
28 |
Correct |
1 ms |
2396 KB |
Output is correct |
29 |
Correct |
1 ms |
2648 KB |
Output is correct |
30 |
Correct |
1 ms |
2396 KB |
Output is correct |
31 |
Correct |
1 ms |
2512 KB |
Output is correct |
32 |
Correct |
1 ms |
2392 KB |
Output is correct |
33 |
Correct |
1 ms |
2396 KB |
Output is correct |
34 |
Correct |
1 ms |
2396 KB |
Output is correct |
35 |
Correct |
1 ms |
2396 KB |
Output is correct |
36 |
Correct |
1 ms |
2648 KB |
Output is correct |
37 |
Correct |
1 ms |
2396 KB |
Output is correct |
38 |
Correct |
1 ms |
2396 KB |
Output is correct |
39 |
Correct |
1 ms |
4440 KB |
Output is correct |
40 |
Correct |
1 ms |
2396 KB |
Output is correct |
41 |
Correct |
1 ms |
2396 KB |
Output is correct |
42 |
Correct |
1 ms |
2396 KB |
Output is correct |
43 |
Correct |
1 ms |
2396 KB |
Output is correct |
44 |
Correct |
1 ms |
2396 KB |
Output is correct |
45 |
Correct |
1 ms |
2396 KB |
Output is correct |
46 |
Correct |
1 ms |
2396 KB |
Output is correct |
47 |
Correct |
1 ms |
2396 KB |
Output is correct |
48 |
Correct |
1 ms |
2396 KB |
Output is correct |
49 |
Correct |
1 ms |
2396 KB |
Output is correct |
50 |
Correct |
1 ms |
2396 KB |
Output is correct |
51 |
Correct |
1 ms |
4444 KB |
Output is correct |
52 |
Correct |
1 ms |
4444 KB |
Output is correct |
53 |
Correct |
1 ms |
4444 KB |
Output is correct |
54 |
Correct |
1 ms |
4444 KB |
Output is correct |
55 |
Correct |
1 ms |
4444 KB |
Output is correct |
56 |
Correct |
1 ms |
4444 KB |
Output is correct |
57 |
Correct |
1 ms |
4444 KB |
Output is correct |
58 |
Correct |
7 ms |
19036 KB |
Output is correct |
59 |
Correct |
16 ms |
77144 KB |
Output is correct |
60 |
Correct |
19 ms |
77144 KB |
Output is correct |
61 |
Correct |
57 ms |
76948 KB |
Output is correct |
62 |
Correct |
257 ms |
166200 KB |
Output is correct |
63 |
Correct |
61 ms |
166296 KB |
Output is correct |
64 |
Correct |
144 ms |
166408 KB |
Output is correct |
65 |
Correct |
1 ms |
4444 KB |
Output is correct |
66 |
Correct |
1 ms |
4444 KB |
Output is correct |
67 |
Correct |
1 ms |
4444 KB |
Output is correct |
68 |
Correct |
1 ms |
4444 KB |
Output is correct |
69 |
Correct |
1 ms |
6612 KB |
Output is correct |
70 |
Correct |
2 ms |
6748 KB |
Output is correct |
71 |
Correct |
14 ms |
19256 KB |
Output is correct |
72 |
Correct |
4 ms |
19036 KB |
Output is correct |
73 |
Correct |
6 ms |
19032 KB |
Output is correct |
74 |
Correct |
16 ms |
77328 KB |
Output is correct |
75 |
Correct |
17 ms |
77148 KB |
Output is correct |
76 |
Correct |
53 ms |
77392 KB |
Output is correct |
77 |
Correct |
257 ms |
166292 KB |
Output is correct |
78 |
Correct |
58 ms |
166228 KB |
Output is correct |
79 |
Correct |
139 ms |
166352 KB |
Output is correct |
80 |
Correct |
52 ms |
166224 KB |
Output is correct |
81 |
Correct |
69 ms |
166508 KB |
Output is correct |
82 |
Correct |
248 ms |
166300 KB |
Output is correct |
83 |
Correct |
1 ms |
6748 KB |
Output is correct |
84 |
Correct |
1 ms |
6748 KB |
Output is correct |
85 |
Correct |
18 ms |
19316 KB |
Output is correct |
86 |
Correct |
4 ms |
19288 KB |
Output is correct |
87 |
Correct |
7 ms |
19288 KB |
Output is correct |
88 |
Correct |
15 ms |
77148 KB |
Output is correct |
89 |
Correct |
19 ms |
77408 KB |
Output is correct |
90 |
Correct |
71 ms |
77448 KB |
Output is correct |
91 |
Correct |
342 ms |
166972 KB |
Output is correct |
92 |
Correct |
57 ms |
166736 KB |
Output is correct |
93 |
Correct |
187 ms |
166824 KB |
Output is correct |
94 |
Correct |
4 ms |
19036 KB |
Output is correct |
95 |
Correct |
17 ms |
19260 KB |
Output is correct |
96 |
Correct |
2 ms |
7112 KB |
Output is correct |
97 |
Correct |
1 ms |
6748 KB |
Output is correct |
98 |
Correct |
1 ms |
2396 KB |
Output is correct |
99 |
Correct |
1 ms |
2396 KB |
Output is correct |