Submission #226307

#TimeUsernameProblemLanguageResultExecution timeMemory
226307emil_physmathK blocks (IZhO14_blocks)C++17
0 / 100
168 ms262148 KiB
#include <algorithm> #include <iostream> #include <vector> using namespace std; inline int pow2(int i) { return 1 << i; } const int maxN = 100'000; const int lg = 16; struct Sparse { int t[lg + 1][maxN]; Sparse() { for (int i = 0; i <= lg; ++i) fill(t[i], t[i] + maxN, 1000'000 * 100 + 1); } void set(int i, int val) { t[0][i] = val; for (int j = 1; j <= lg && pow2(j) <= i + 1; ++j) t[j][i] = min(t[j - 1][i], t[j - 1][i - pow2(j - 1)]); } int operator()(int l, int r) { int i = __lg(r - l + 1); return min(t[i][r], t[i][l + pow2(i) - 1]); } }; Sparse dp[101]; int main() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); int n, k; cin >> n >> k; vector<int> a(n); for (int i = 0; i < n; ++i) cin >> a[i]; dp[1].set(0, a[0]); for (int i = 1; i < n; ++i) dp[1].set(i, max(dp[1](i - 1, i - 1), a[i])); vector<int> st; for (int i = 1; i < n; ++i) { auto it = upper_bound(st.rbegin(), st.rend(), i, [&a](int i, int j){ return a[i] < a[j]; }); int m = (it == st.rend() ? -1 : *it); for (int j = 2; j <= k; ++j) { int cur = 1000'000 * k + 1; if (m != -1) cur = min(cur, dp[j](m, m)); if (m + 1 < i) cur = min(cur, dp[j - 1](m + 1, i - 1) + a[i]); dp[j].set(i, cur); } while (st.size() && a[st.back()] <= a[i]) st.pop_back(); st.push_back(i); } cout << dp[k](n - 1, n - 1); }
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