COCI '14 Contest 6 #6 WTF

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Points: 20 (partial)
Time limit: 1.0s
Memory limit: 256M

Problem type

Assume you are given an array A of N integers, array ID of N + 1 integers from the interval [1, N - 1] and an integer R.

We are doing a Warshall-Turing-Fourier transformation (this doesn't really exist) on array A in the following way:

sum = 0

for i = 1 to N
    index = min{ ID[i], ID[i+1] }
    sum = sum + A[index]
    rotate array A to the right by R places

change the signs of all elements in A

for i = 1 to N
    index = max{ ID[i], ID[i+1] }
    index = index + 1
    sum = sum + A[index]
    rotate array A to the right by R places

You are given the array A and constant R, but you are not familiar with the array ID. What is the largest possible value of variable sum after execution of the above algorithm?

Input

The first line of input contains the integers N and R (2 \le N \le 3\,000, 1 \le R < N) from the task.

The second line of input contains the elements of array A, respectively from A[1] to A[N]. These are integers from the interval [-10^4, 10^4].

Output

The first line of output must contain the maximal value of sum.

The second line of output must contain the array ID of N + 1 integers from the interval [1, N - 1] for which the algorithm outputs the maximal sum. If there are multiple such arrays, output any.

If only the first line is correct (regardless of whether the second is printed), you will get 50\% of points for the corresponding test case.

Scoring

In test cases worth 20\% of total points, it will hold N \le 7.

In test cases worth 60\% of total points, it will hold N \le 300.

Sample Input 1

5 3
1 -1 1 -1 1

Sample Output 1

10
1 1 1 2 2 3

Sample Input 2

6 5
2 5 4 1 3 5

Sample Output 2

16
3 2 1 1 5 4 1

Comments


  • 6
    kobortor  commented on Sept. 2, 2015, 5:15 p.m.

    The judge gives 100% AC for only printing out the first number, which according to the problem statement should only give me 50%.

    Also when I printed out rest of the answer (which I was supposed to do for 100% AC), it gave me WA.


    • -11
      FatalEagle  commented on Sept. 2, 2015, 6:35 p.m.

      This comment is hidden due to too much negative feedback. Click here to view it.