Submission #1048528

#	Time	Username	Problem	Language	Result	Execution time	Memory
1048528		manhlinh1501	Split the sequence (APIO14_sequence)	C++17	0 / 100	23 ms	131072 KiB

sequence

#include <bits/stdc++.h>
using namespace std;
using pii = pair<int, int>;
using i64 = long long;
const int MAXN = 1e5 + 5;
const int MAXK = 205;
#define ALL(a) (a).begin(), (a).end()
int N, K;
int a[MAXN];
i64 prefix[MAXN];

namespace subtask {
    i64 dp[MAXN][MAXK];
    pii trace[MAXN][MAXK];

    void solution() {
        K++;
        memset(dp, -0x3f, sizeof dp);
        dp[0][0] = 0;
        for(int i = 1; i <= N; i++) {
            for(int j = 0; j <= i; j++) {
                for(int z = 1; z <= K; z++)
//                    dp[i][z] = max(dp[i][z], dp[j - 1][z - 1] + (prefix[i] - prefix[j - 1]) * (prefix[N] - prefix[i]));
                    if(dp[i][z] < dp[j][z - 1] + (prefix[i] - prefix[j]) * (prefix[N] - prefix[i])) {
                        dp[i][z] = dp[j][z - 1] + (prefix[i] - prefix[j]) * (prefix[N] - prefix[i]);
                        trace[i][z] = {j, z - 1};
                    }
            }
        }
//        for(int i = 1; i <= N; i++) {
//            for(int j = 1; j <= K; j++)
//                printf("%d %d %d %d\n", i, j, trace[i][j].first, trace[i][j].second);
//        }
        printf("%lld\n", dp[N][K]);
        pii cur = {N, K};
        vector<int> ans;
        while(trace[cur.first][cur.second].first) {
            cur = trace[cur.first][cur.second];
//            printf("%d ", cur.first);
            ans.emplace_back(cur.first);
        }
        reverse(ALL(ans));
        for(int x : ans) printf("%d ", x);
    }
}

signed main() {
#define TASK "code"

    if (fopen(TASK ".inp", "r")) {
        freopen(TASK ".inp", "r", stdin);
        freopen(TASK ".out", "w", stdout);
    }

    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);

    cin >> N >> K;
    for(int i = 1; i <= N; i++) cin >> a[i];
    for(int i = 1; i <= N; i++) prefix[i] = prefix[i - 1] + a[i];
    subtask::solution();
    return (0 ^ 0);
}

Compilation message (stderr)

sequence.cpp: In function 'int main()':
sequence.cpp:51:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   51 |         freopen(TASK ".inp", "r", stdin);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
sequence.cpp:52:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   52 |         freopen(TASK ".out", "w", stdout);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~

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