Two Pointers for a Linear Solution V

Yet another hot-off-the-press problem requiring a two-pointers approach. Keep track of a pointer for the encoded1 and one for encoded2. As you traverse the arrays, make a decision on which one to add, and how to add, based on the equality or inequality of the frequencies. At that point, change the frequency of the "larger" array. When you add to the output list, just make sure to check against the "tail" of the list for the same frequency, in which case, merge them. Code is down below, cheers, ACC.

Product of Two Run-Length Encoded Arrays - LeetCode

1868. Product of Two Run-Length Encoded Arrays
Medium

Run-length encoding is a compression algorithm that allows for an integer array nums with many segments of consecutive repeated numbers to be represented by a (generally smaller) 2D array encoded. Each encoded[i] = [vali, freqi] describes the ith segment of repeated numbers in nums where vali is the value that is repeated freqi times.

  • For example, nums = [1,1,1,2,2,2,2,2] is represented by the run-length encoded array encoded = [[1,3],[2,5]]. Another way to read this is "three 1s followed by five 2s".

The product of two run-length encoded arrays encoded1 and encoded2 can be calculated using the following steps:

  1. Expand both encoded1 and encoded2 into the full arrays nums1 and nums2 respectively.
  2. Create a new array prodNums of length nums1.length and set prodNums[i] = nums1[i] * nums2[i].
  3. Compress prodNums into a run-length encoded array and return it.

You are given two run-length encoded arrays encoded1 and encoded2 representing full arrays nums1 and nums2 respectively. Both nums1 and nums2 have the same length. Each encoded1[i] = [vali, freqi] describes the ith segment of nums1, and each encoded2[j] = [valj, freqj] describes the jth segment of nums2.

Return the product of encoded1 and encoded2.

Note: Compression should be done such that the run-length encoded array has the minimum possible length.

 

Example 1:

Input: encoded1 = [[1,3],[2,3]], encoded2 = [[6,3],[3,3]]
Output: [[6,6]]
Explanation: encoded1 expands to [1,1,1,2,2,2] and encoded2 expands to [6,6,6,3,3,3].
prodNums = [6,6,6,6,6,6], which is compressed into the run-length encoded array [[6,6]].

Example 2:

Input: encoded1 = [[1,3],[2,1],[3,2]], encoded2 = [[2,3],[3,3]]
Output: [[2,3],[6,1],[9,2]]
Explanation: encoded1 expands to [1,1,1,2,3,3] and encoded2 expands to [2,2,2,3,3,3].
prodNums = [2,2,2,6,9,9], which is compressed into the run-length encoded array [[2,3],[6,1],[9,2]].

 

Constraints:

  • 1 <= encoded1.length, encoded2.length <= 105
  • encoded1[i].length == 2
  • encoded2[j].length == 2
  • 1 <= vali, freqi <= 104 for each encoded1[i].
  • 1 <= valj, freqj <= 104 for each encoded2[j].
  • The full arrays that encoded1 and encoded2 represent are the same length.
Accepted
68
Submissions
100

public IList> FindRLEArray(int[][] encoded1, int[][] encoded2)
{
    List> retVal = new List>();

    int p1 = 0;
    int p2 = 0;
    while (p1 < encoded1.Length && p2 < encoded2.Length)
    {
        if (encoded1[p1][1] == encoded2[p2][1])
        {
            List cell = new List();
            cell.Add(encoded1[p1][0] * encoded2[p2][0]);
            cell.Add(encoded1[p1][1]);

            if (retVal.Count > 0 && retVal[retVal.Count - 1][0] == cell[0])
            {
                retVal[retVal.Count - 1][1] += cell[1];
            }
            else
            {
                retVal.Add(cell);
            }

            p1++;
            p2++;
        }
        else if (encoded1[p1][1] < encoded2[p2][1])
        {
            List cell = new List();
            cell.Add(encoded1[p1][0] * encoded2[p2][0]);
            cell.Add(encoded1[p1][1]);

            if (retVal.Count > 0 && retVal[retVal.Count - 1][0] == cell[0])
            {
                retVal[retVal.Count - 1][1] += cell[1];
            }
            else
            {
                retVal.Add(cell);
            }

            encoded2[p2][1] -= encoded1[p1][1];
            p1++;
        }
        else
        {
            List cell = new List();
            cell.Add(encoded1[p1][0] * encoded2[p2][0]);
            cell.Add(encoded2[p2][1]);

            if (retVal.Count > 0 && retVal[retVal.Count - 1][0] == cell[0])
            {
                retVal[retVal.Count - 1][1] += cell[1];
            }
            else
            {
                retVal.Add(cell);
            }

            encoded1[p1][1] -= encoded2[p2][1];
            p2++;
        }
    }

    return retVal;
}

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