| # |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
| 523708 |
2022-02-08T04:45:54 Z |
boykut |
K blocks (IZhO14_blocks) |
C++14 |
|
407 ms |
94716 KB |
#include <bits/stdc++.h>
using namespace std;
class sparse_table {
public:
sparse_table(vector<int>&a) : n(a.size()) {
lg.resize(1 + n);
lg[0] = lg[1] = 0;
for (int i = 2; i <= n; i++)
lg[i] = lg[i / 2] + 1;
mx.assign(n, vector<int>(1 + lg[n]));
for (int j = 0; j <= lg[n]; j++)
for (int i = 0; i <= n - (1 << j); i++)
if (j == 0) mx[i][j] = a[i];
else mx[i][j] = max(mx[i][j-1], mx[i+(1<<(j-1))][j-1]);
}
int query(int l, int r) {
int d = lg[r-l+1];
return max(mx[l][d], mx[r-(1<<d)+1][d]);
}
private:
int n;
vector<int> lg;
vector<vector<int>> mx;
};
int main() {
ios::sync_with_stdio(0);
cin.tie(0);
int n, k;
cin >> n >> k;
vector<int> a(1 + n);
for (int i = 1; i <= n; i++) {
cin >> a[i];
}
sparse_table st(a);
vector<vector<long long>> dp(1 + n, vector<long long>(1 + k, 1e18));
for (int i = 1; i <= n; i++) {
dp[i][1] = st.query(1, i);
}
int K = k;
for (int k = 2; k <= K; k++) {
stack<pair<int, long long>> st;
for (int i = 1; i <= n; i++) {
long long mn = dp[i - 1][k - 1];
while (!st.empty() && a[st.top().first] <= a[i]) {
mn = min(mn, st.top().second);
st.pop();
}
if (!st.empty())
dp[i][k] = min(dp[i][k], dp[st.top().first][k]);
dp[i][k] = min(dp[i][k], mn + a[i]);
st.push({i, mn});
}
}
cout << dp[n][k] << '\n';
return 0;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
204 KB |
Output is correct |
| 2 |
Correct |
0 ms |
204 KB |
Output is correct |
| 3 |
Correct |
0 ms |
204 KB |
Output is correct |
| 4 |
Correct |
1 ms |
204 KB |
Output is correct |
| 5 |
Correct |
1 ms |
204 KB |
Output is correct |
| 6 |
Correct |
0 ms |
204 KB |
Output is correct |
| 7 |
Correct |
0 ms |
204 KB |
Output is correct |
| 8 |
Correct |
0 ms |
204 KB |
Output is correct |
| 9 |
Correct |
0 ms |
204 KB |
Output is correct |
| 10 |
Correct |
0 ms |
204 KB |
Output is correct |
| 11 |
Correct |
0 ms |
204 KB |
Output is correct |
| 12 |
Correct |
1 ms |
204 KB |
Output is correct |
| 13 |
Correct |
0 ms |
204 KB |
Output is correct |
| 14 |
Correct |
1 ms |
204 KB |
Output is correct |
| 15 |
Correct |
0 ms |
204 KB |
Output is correct |
| 16 |
Correct |
0 ms |
204 KB |
Output is correct |
| 17 |
Correct |
1 ms |
204 KB |
Output is correct |
| 18 |
Correct |
1 ms |
204 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
204 KB |
Output is correct |
| 2 |
Correct |
1 ms |
204 KB |
Output is correct |
| 3 |
Correct |
1 ms |
204 KB |
Output is correct |
| 4 |
Correct |
1 ms |
204 KB |
Output is correct |
| 5 |
Correct |
1 ms |
204 KB |
Output is correct |
| 6 |
Correct |
0 ms |
204 KB |
Output is correct |
| 7 |
Correct |
0 ms |
204 KB |
Output is correct |
| 8 |
Correct |
0 ms |
204 KB |
Output is correct |
| 9 |
Correct |
0 ms |
204 KB |
Output is correct |
| 10 |
Correct |
0 ms |
204 KB |
Output is correct |
| 11 |
Correct |
0 ms |
204 KB |
Output is correct |
| 12 |
Correct |
0 ms |
204 KB |
Output is correct |
| 13 |
Correct |
0 ms |
204 KB |
Output is correct |
| 14 |
Correct |
0 ms |
204 KB |
Output is correct |
| 15 |
Correct |
0 ms |
204 KB |
Output is correct |
| 16 |
Correct |
0 ms |
204 KB |
Output is correct |
| 17 |
Correct |
1 ms |
204 KB |
Output is correct |
| 18 |
Correct |
1 ms |
204 KB |
Output is correct |
| 19 |
Correct |
0 ms |
204 KB |
Output is correct |
| 20 |
Correct |
1 ms |
204 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
204 KB |
Output is correct |
| 2 |
Correct |
0 ms |
204 KB |
Output is correct |
| 3 |
Correct |
0 ms |
204 KB |
Output is correct |
| 4 |
Correct |
1 ms |
204 KB |
Output is correct |
| 5 |
Correct |
1 ms |
204 KB |
Output is correct |
| 6 |
Correct |
0 ms |
204 KB |
Output is correct |
| 7 |
Correct |
0 ms |
204 KB |
Output is correct |
| 8 |
Correct |
0 ms |
204 KB |
Output is correct |
| 9 |
Correct |
0 ms |
204 KB |
Output is correct |
| 10 |
Correct |
0 ms |
204 KB |
Output is correct |
| 11 |
Correct |
0 ms |
204 KB |
Output is correct |
| 12 |
Correct |
1 ms |
204 KB |
Output is correct |
| 13 |
Correct |
0 ms |
204 KB |
Output is correct |
| 14 |
Correct |
1 ms |
204 KB |
Output is correct |
| 15 |
Correct |
0 ms |
204 KB |
Output is correct |
| 16 |
Correct |
0 ms |
204 KB |
Output is correct |
| 17 |
Correct |
1 ms |
204 KB |
Output is correct |
| 18 |
Correct |
1 ms |
204 KB |
Output is correct |
| 19 |
Correct |
0 ms |
204 KB |
Output is correct |
| 20 |
Correct |
1 ms |
204 KB |
Output is correct |
| 21 |
Correct |
1 ms |
204 KB |
Output is correct |
| 22 |
Correct |
1 ms |
204 KB |
Output is correct |
| 23 |
Correct |
1 ms |
204 KB |
Output is correct |
| 24 |
Correct |
0 ms |
204 KB |
Output is correct |
| 25 |
Correct |
0 ms |
204 KB |
Output is correct |
| 26 |
Correct |
0 ms |
204 KB |
Output is correct |
| 27 |
Correct |
0 ms |
204 KB |
Output is correct |
| 28 |
Correct |
0 ms |
204 KB |
Output is correct |
| 29 |
Correct |
0 ms |
204 KB |
Output is correct |
| 30 |
Correct |
0 ms |
204 KB |
Output is correct |
| 31 |
Correct |
0 ms |
204 KB |
Output is correct |
| 32 |
Correct |
0 ms |
204 KB |
Output is correct |
| 33 |
Correct |
0 ms |
204 KB |
Output is correct |
| 34 |
Correct |
0 ms |
204 KB |
Output is correct |
| 35 |
Correct |
1 ms |
204 KB |
Output is correct |
| 36 |
Correct |
1 ms |
204 KB |
Output is correct |
| 37 |
Correct |
0 ms |
204 KB |
Output is correct |
| 38 |
Correct |
1 ms |
204 KB |
Output is correct |
| 39 |
Correct |
1 ms |
332 KB |
Output is correct |
| 40 |
Correct |
0 ms |
204 KB |
Output is correct |
| 41 |
Correct |
0 ms |
204 KB |
Output is correct |
| 42 |
Correct |
0 ms |
204 KB |
Output is correct |
| 43 |
Correct |
0 ms |
204 KB |
Output is correct |
| 44 |
Correct |
1 ms |
204 KB |
Output is correct |
| 45 |
Correct |
0 ms |
204 KB |
Output is correct |
| 46 |
Correct |
1 ms |
204 KB |
Output is correct |
| 47 |
Correct |
0 ms |
204 KB |
Output is correct |
| 48 |
Correct |
0 ms |
204 KB |
Output is correct |
| 49 |
Correct |
0 ms |
204 KB |
Output is correct |
| 50 |
Correct |
0 ms |
204 KB |
Output is correct |
| 51 |
Correct |
1 ms |
332 KB |
Output is correct |
| 52 |
Correct |
1 ms |
332 KB |
Output is correct |
| 53 |
Correct |
1 ms |
332 KB |
Output is correct |
| 54 |
Correct |
1 ms |
332 KB |
Output is correct |
| 55 |
Correct |
0 ms |
332 KB |
Output is correct |
| 56 |
Correct |
0 ms |
332 KB |
Output is correct |
| 57 |
Correct |
1 ms |
332 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
204 KB |
Output is correct |
| 2 |
Correct |
0 ms |
204 KB |
Output is correct |
| 3 |
Correct |
0 ms |
204 KB |
Output is correct |
| 4 |
Correct |
1 ms |
204 KB |
Output is correct |
| 5 |
Correct |
1 ms |
204 KB |
Output is correct |
| 6 |
Correct |
0 ms |
204 KB |
Output is correct |
| 7 |
Correct |
0 ms |
204 KB |
Output is correct |
| 8 |
Correct |
0 ms |
204 KB |
Output is correct |
| 9 |
Correct |
0 ms |
204 KB |
Output is correct |
| 10 |
Correct |
0 ms |
204 KB |
Output is correct |
| 11 |
Correct |
0 ms |
204 KB |
Output is correct |
| 12 |
Correct |
1 ms |
204 KB |
Output is correct |
| 13 |
Correct |
0 ms |
204 KB |
Output is correct |
| 14 |
Correct |
1 ms |
204 KB |
Output is correct |
| 15 |
Correct |
0 ms |
204 KB |
Output is correct |
| 16 |
Correct |
0 ms |
204 KB |
Output is correct |
| 17 |
Correct |
1 ms |
204 KB |
Output is correct |
| 18 |
Correct |
1 ms |
204 KB |
Output is correct |
| 19 |
Correct |
0 ms |
204 KB |
Output is correct |
| 20 |
Correct |
1 ms |
204 KB |
Output is correct |
| 21 |
Correct |
1 ms |
204 KB |
Output is correct |
| 22 |
Correct |
1 ms |
204 KB |
Output is correct |
| 23 |
Correct |
1 ms |
204 KB |
Output is correct |
| 24 |
Correct |
0 ms |
204 KB |
Output is correct |
| 25 |
Correct |
0 ms |
204 KB |
Output is correct |
| 26 |
Correct |
0 ms |
204 KB |
Output is correct |
| 27 |
Correct |
0 ms |
204 KB |
Output is correct |
| 28 |
Correct |
0 ms |
204 KB |
Output is correct |
| 29 |
Correct |
0 ms |
204 KB |
Output is correct |
| 30 |
Correct |
0 ms |
204 KB |
Output is correct |
| 31 |
Correct |
0 ms |
204 KB |
Output is correct |
| 32 |
Correct |
0 ms |
204 KB |
Output is correct |
| 33 |
Correct |
0 ms |
204 KB |
Output is correct |
| 34 |
Correct |
0 ms |
204 KB |
Output is correct |
| 35 |
Correct |
1 ms |
204 KB |
Output is correct |
| 36 |
Correct |
1 ms |
204 KB |
Output is correct |
| 37 |
Correct |
0 ms |
204 KB |
Output is correct |
| 38 |
Correct |
1 ms |
204 KB |
Output is correct |
| 39 |
Correct |
1 ms |
332 KB |
Output is correct |
| 40 |
Correct |
0 ms |
204 KB |
Output is correct |
| 41 |
Correct |
0 ms |
204 KB |
Output is correct |
| 42 |
Correct |
0 ms |
204 KB |
Output is correct |
| 43 |
Correct |
0 ms |
204 KB |
Output is correct |
| 44 |
Correct |
1 ms |
204 KB |
Output is correct |
| 45 |
Correct |
0 ms |
204 KB |
Output is correct |
| 46 |
Correct |
1 ms |
204 KB |
Output is correct |
| 47 |
Correct |
0 ms |
204 KB |
Output is correct |
| 48 |
Correct |
0 ms |
204 KB |
Output is correct |
| 49 |
Correct |
0 ms |
204 KB |
Output is correct |
| 50 |
Correct |
0 ms |
204 KB |
Output is correct |
| 51 |
Correct |
1 ms |
332 KB |
Output is correct |
| 52 |
Correct |
1 ms |
332 KB |
Output is correct |
| 53 |
Correct |
1 ms |
332 KB |
Output is correct |
| 54 |
Correct |
1 ms |
332 KB |
Output is correct |
| 55 |
Correct |
0 ms |
332 KB |
Output is correct |
| 56 |
Correct |
0 ms |
332 KB |
Output is correct |
| 57 |
Correct |
1 ms |
332 KB |
Output is correct |
| 58 |
Correct |
7 ms |
3660 KB |
Output is correct |
| 59 |
Correct |
18 ms |
7944 KB |
Output is correct |
| 60 |
Correct |
19 ms |
9932 KB |
Output is correct |
| 61 |
Correct |
82 ms |
33636 KB |
Output is correct |
| 62 |
Correct |
407 ms |
94052 KB |
Output is correct |
| 63 |
Correct |
46 ms |
19000 KB |
Output is correct |
| 64 |
Correct |
170 ms |
51760 KB |
Output is correct |
| 65 |
Correct |
1 ms |
332 KB |
Output is correct |
| 66 |
Correct |
1 ms |
332 KB |
Output is correct |
| 67 |
Correct |
1 ms |
332 KB |
Output is correct |
| 68 |
Correct |
1 ms |
332 KB |
Output is correct |
| 69 |
Correct |
1 ms |
332 KB |
Output is correct |
| 70 |
Correct |
1 ms |
460 KB |
Output is correct |
| 71 |
Correct |
25 ms |
9548 KB |
Output is correct |
| 72 |
Correct |
3 ms |
1824 KB |
Output is correct |
| 73 |
Correct |
7 ms |
3660 KB |
Output is correct |
| 74 |
Correct |
12 ms |
7884 KB |
Output is correct |
| 75 |
Correct |
18 ms |
10008 KB |
Output is correct |
| 76 |
Correct |
84 ms |
33668 KB |
Output is correct |
| 77 |
Correct |
340 ms |
94144 KB |
Output is correct |
| 78 |
Correct |
37 ms |
18872 KB |
Output is correct |
| 79 |
Correct |
151 ms |
51868 KB |
Output is correct |
| 80 |
Correct |
34 ms |
17328 KB |
Output is correct |
| 81 |
Correct |
69 ms |
23660 KB |
Output is correct |
| 82 |
Correct |
330 ms |
94148 KB |
Output is correct |
| 83 |
Correct |
1 ms |
444 KB |
Output is correct |
| 84 |
Correct |
1 ms |
460 KB |
Output is correct |
| 85 |
Correct |
23 ms |
9540 KB |
Output is correct |
| 86 |
Correct |
3 ms |
1868 KB |
Output is correct |
| 87 |
Correct |
8 ms |
3776 KB |
Output is correct |
| 88 |
Correct |
13 ms |
7820 KB |
Output is correct |
| 89 |
Correct |
18 ms |
10268 KB |
Output is correct |
| 90 |
Correct |
95 ms |
33924 KB |
Output is correct |
| 91 |
Correct |
358 ms |
94716 KB |
Output is correct |
| 92 |
Correct |
37 ms |
19524 KB |
Output is correct |
| 93 |
Correct |
162 ms |
52452 KB |
Output is correct |
| 94 |
Correct |
4 ms |
1868 KB |
Output is correct |
| 95 |
Correct |
24 ms |
9532 KB |
Output is correct |
| 96 |
Correct |
1 ms |
436 KB |
Output is correct |
| 97 |
Correct |
1 ms |
332 KB |
Output is correct |
| 98 |
Correct |
0 ms |
204 KB |
Output is correct |
| 99 |
Correct |
0 ms |
312 KB |
Output is correct |
