← Service Now Interview Insights
I jumped straight to recursion and got a working solution but it was obviously exponential.
Start by clarifying the problem constraints and edge cases, then propose a dynamic programming solution with O(m*n) time and space, and finally discuss potential optimizations like using two pointers for linear space. Walk through a few examples to demonstrate correctness and handle tricky cases like multiple consecutive '*'.
Pro tip: Mention that you can optimize the DP space to O(n) by using two rows, and that greedy two-pointer approach works for this specific wildcard matching (unlike regex) because '*' is independent. This shows deeper understanding and practical optimization skills.
Ask about input constraints, character set, and whether the pattern can be empty. Discuss edge cases like empty string, empty pattern, patterns with only '*', and consecutive '*'.
Define dp[i][j] as whether the first i characters of string match the first j characters of pattern. Derive recurrence: if pattern[j-1] is '?' or matches string[i-1], dp[i][j] = dp[i-1][j-1]; if pattern[j-1] is '*', dp[i][j] = dp[i-1][j] (match one char) or dp[i][j-1] (match empty).
Initialize dp[0][0] = true, dp[0][j] = dp[0][j-1] if pattern[j-1] is '*', and dp[i][0] = false for i>0. Fill the table iteratively and return dp[m][n].
State time complexity O(m*n) and space O(m*n). Propose space optimization to O(n) using two rows or O(1) with greedy two-pointer approach, explaining the trade-offs.
Walk through examples like s='adceb', p='*a*b' and s='acdcb', p='a*c?b'. Mention greedy two-pointer algorithm as an alternative with O(m+n) time and O(1) space, and discuss when to use which.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.