Submission #966102

#	Time	Username	Problem	Language	Result	Execution time	Memory
966102		MisterReaper	Split the sequence (APIO14_sequence)	C++17	0 / 100	2065 ms	6492 KiB

sequence

#include <bits/stdc++.h>

#ifdef DEBUG 
    #include "debug.h"
#else
    #define debug(...) void(23)
#endif

using i64 = long long;

constexpr int maxN = 1E5 + 5;
constexpr int maxK = 200 + 5;

int A[maxN], go[maxK][maxN];
i64 dp[maxK][maxN], p[maxN];

signed main() {
    std::ios::sync_with_stdio(false);
    std::cin.tie(nullptr);

    int N, K;
    std::cin >> N >> K;

    for(int i = 1; i <= N; i++) {
        std::cin >> A[i];
    }

    for(int i = 1; i <= N; i++) {
        p[i] = p[i - 1] + A[i];
    }

    for(int k = 1; k <= K; k++) {
        for(int i = 1; i <= N; i++) {
            for(int j = 0; j < i; j++) {
                if(dp[k - 1][j] + 1LL * (p[i] - p[j]) * (p[N] - p[i]) > dp[k][i]) {
                    go[k][i] = j;
                    dp[k][i] = dp[k - 1][j] + 1LL * (p[i] - p[j]) * (p[N] - p[i]);
                }
            }
        }
    }

    int ans = 1;
    for(int i = N - K; i < N; i++) {
        if(dp[K][i] >= dp[K][ans]) {
            ans = i;
        }
    }

    std::cout << dp[K][ans] << '\n';

    std::vector<int> v;
    for(int k = K; k >= 1; k--) {
        v.emplace_back(ans);
        ans = go[k][ans];
    }

    for(int i = K - 1; i >= 0; i--) {
        std::cout << v[i] << " \n"[i == 0];
    }

    return 0;
}

• Subtask 1: 0 / 11
• Subtask 2: 0 / 11
• Subtask 3: 0 / 11
• Subtask 4: 0 / 17
• Subtask 5: 0 / 21
• Subtask 6: 0 / 29