Submission #1083524

#	Time	Username	Problem	Language	Result	Execution time	Memory
1083524		f0rizen	K blocks (IZhO14_blocks)	C++17	0 / 100	1 ms	604 KiB

blocks

#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<ll>> dp(k + 1, vector<ll>(n + 1, infll));
    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) {
                ll 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;
}

• Subtask 1: 0 / 14
• Subtask 2: 0 / 18
• Subtask 3: 0 / 21
• Subtask 4: 0 / 47