Submission #1092681

#TimeUsernameProblemLanguageResultExecution timeMemory
1092681muhammadFeast (NOI19_feast)C++17
0 / 100
1047 ms262144 KiB
#include <iostream>
#include <vector>
#include <algorithm>
#include <climits>

using namespace std;

int main() {
    int N, K;
    cin >> N >> K;
    
    vector<int> A(N + 1);
    for (int i = 1; i <= N; ++i) {
        cin >> A[i];
    }
    
    // DP array initialized with a very small value (negative infinity)
    vector<vector<long long>> dp(N + 1, vector<long long>(K + 1, LLONG_MIN));
    dp[0][0] = 0;  // Base case

    // Iterate over each possible plate
    for (int i = 1; i <= N; ++i) {
        for (int j = 0; j <= K; ++j) {
            // If not taking the i-th plate for the j-th person
            dp[i][j] = max(dp[i][j], dp[i - 1][j]);
        }

        // Iterate over the number of people (from 1 to K)
        for (int j = 1; j <= K; ++j) {
            // Keep track of the sum for the current segment ending at `i`
            long long current_sum = 0;
            
            // Iterate back from `i` to track the best sum ending at `i` for person `j`
            for (int x = i; x > 0; --x) {
                current_sum += A[x];
                dp[i][j] = max(dp[i][j], dp[x - 1][j - 1] + current_sum);
            }
        }
    }

    cout << dp[N][K] << endl;
    return 0;
}
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