#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);
}
for (int j = 2; j <= k; j++) {
for (int i = 1; i <= n; i++) {
pair<long long, int> mn = make_pair(1e18, -1);
for (int i2 = 1; i2 < i; i2++) {
mn = min(mn, {dp[i2][j-1], i2});
}
if (mn.first != 1e18)
dp[i][j] = mn.first + st.query(mn.second+1, i);
}
}
cout << dp[n][k] << '\n';
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 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 |
0 ms |
312 KB |
Output is correct |
6 |
Correct |
1 ms |
316 KB |
Output is correct |
7 |
Correct |
1 ms |
204 KB |
Output is correct |
8 |
Incorrect |
0 ms |
312 KB |
Output isn't correct |
9 |
Halted |
0 ms |
0 KB |
- |
# |
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 |
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 |
1 ms |
204 KB |
Output is correct |
7 |
Correct |
1 ms |
204 KB |
Output is correct |
8 |
Incorrect |
1 ms |
204 KB |
Output isn't correct |
9 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 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 |
0 ms |
312 KB |
Output is correct |
6 |
Correct |
1 ms |
316 KB |
Output is correct |
7 |
Correct |
1 ms |
204 KB |
Output is correct |
8 |
Incorrect |
0 ms |
312 KB |
Output isn't correct |
9 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 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 |
0 ms |
312 KB |
Output is correct |
6 |
Correct |
1 ms |
316 KB |
Output is correct |
7 |
Correct |
1 ms |
204 KB |
Output is correct |
8 |
Incorrect |
0 ms |
312 KB |
Output isn't correct |
9 |
Halted |
0 ms |
0 KB |
- |