← Bytedance Interview Insights
Took me a minute to realize the impossible case isn't just about counts being off.
First, clarify that the goal is to make both strings identical by swapping characters between them, and that the final strings must be the same. Then, analyze the mismatched positions: count how many positions have (x,y) and how many have (y,x). The minimum swaps is the sum of the ceiling of half of each count, and it's impossible if the total number of mismatches is odd.
Pro tip: Mention that swapping two mismatched pairs of the same type (e.g., two (x,y) pairs) fixes both in one swap, while mixed pairs require two swaps. This shows you understand the optimization beyond just counting.
Restate the problem: we have two strings of equal length with only 'x' and 'y'. We can swap any character from the first string with any character from the second. We need the minimum swaps to make both strings identical, and determine when it's impossible.
Compare the strings position by position. Count the number of positions where the first string has 'x' and the second has 'y' (type A), and where the first has 'y' and the second has 'x' (type B).
If the total number of mismatches (type A + type B) is odd, it's impossible to make the strings identical because each swap changes the total number of mismatches by an even number (0 or 2).
For each type, pairs of the same type can be fixed with one swap per pair. If there's an odd leftover of each type, they can be fixed together with two swaps. So minimum swaps = floor(A/2) + floor(B/2) + 2*(A%2).
Test with small examples (e.g., 'xy' and 'yx', 'xx' and 'yy') to confirm the formula. Also consider cases with no mismatches (0 swaps) and odd total mismatches (impossible).
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.