#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const int inf = 1e9 + 7;
const ll infll = 1e18;
template<typename T>
istream &operator>>(istream &is, vector<T> &a) {
for (auto &i : a) {
is >> i;
}
return is;
}
template<typename T, class F = function<T(T, T)>>
struct SparseTable {
int n;
vector<int> lg;
vector<vector<T>> st;
F func;
SparseTable(const vector<T> &a, const F &f) : func(f) {
n = a.size();
lg.resize(n + 1);
for (int i = 2; i <= n; ++i) {
lg[i] = lg[i / 2] + 1;
}
st.resize(lg[n] + 1, vector<T>(n + 1));
st[0] = a;
for (int i = 1; i <= lg[n]; ++i) {
for (int j = 0; j + (1 << i) <= n; ++j) {
st[i][j] = func(st[i - 1][j], st[i - 1][j + (1 << (i - 1))]);
}
}
}
T get(int l, int r) {
assert(0 <= l && l < r && r <= n);
int i = lg[r - l];
return func(st[i][l], st[i][r - (1 << i)]);
}
};
int32_t main() {
#ifdef LOCAL
freopen("/tmp/input.txt", "r", stdin);
#else
ios::sync_with_stdio(false);
cin.tie(nullptr);
#endif
int n, k;
cin >> n >> k;
vector<int> a(n);
cin >> a;
SparseTable st(a, [](int a, int b) {
return max(a, b);
});
auto w = [&](int l, int r) { // [l, r]
return st.get(l - 1, r);
};
vector<vector<int>> dp(k + 1, vector<int>(n + 1, inf));
dp[0][0] = 0;
for (int j = 1; j <= k; ++j) {
auto solve = [&](auto solve, int l, int r, int optl, int optr) -> void {
if (l > r) {
return;
}
int mid = (l + r) / 2;
int optm = optl;
for (int i = optl; i <= min(optr, mid); ++i) {
int cur = dp[j - 1][i - 1] + w(i, mid);
if (dp[j][mid] > cur) {
dp[j][mid] = cur;
optm = i;
}
}
solve(solve, l, mid - 1, optl, optm);
solve(solve, mid + 1, r, optm, optr);
};
solve(solve, 1, n, 1, n);
}
cout << dp[k][n] << "\n";
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
456 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
12 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
344 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
12 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
456 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
12 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
456 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
12 |
Halted |
0 ms |
0 KB |
- |