← Bytedance Interview Insights
Took me a bit to even understand what 'two groups of equal length' meant from the problem statement.
Clarify that the problem asks for contiguous substrings where the first half is all 0s and the second half all 1s, or vice versa, with equal lengths. Then propose an O(n) solution by scanning for maximal runs of identical bits and summing min(left_run, right_run) for each adjacent run pair. Walk through the example to verify the count of 6.
Pro tip: Explicitly state the two valid patterns ('0...01...1' and '1...10...0') and note that substrings must be contiguous and exactly two groups, which rules out overlapping or mixed patterns. This shows you understand the problem's constraints and avoids common misinterpretations.
Restate that we need contiguous substrings of even length where the first half is all one bit and the second half is all the other bit. Confirm with the interviewer that only these two patterns count.
Scan the array and compute the lengths of consecutive runs of identical bits. For example, [0,1,0,0,0,0,0,1,1,1,1] becomes runs of lengths [1,1,5,4] with bits 0,1,0,1.
For each pair of adjacent runs (e.g., a run of 0s followed by a run of 1s), the number of valid substrings is min(length of first run, length of second run). Sum these values across all adjacent pairs.
Apply the method to the given input: runs [1,1,5,4] give min(1,1)=1, min(1,5)=1, min(5,4)=4, total 6, matching the expected output.
State that the algorithm runs in O(n) time and O(1) extra space (or O(n) if storing runs). Mention edge cases: all same bits, alternating bits, and empty array.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.