Dynamic Programming: Knapsack - Ones and Zeroes (2D Knapsack)
Consider the same code snippet for the Ones and Zeroes problem. What is the output for
strs = ["0"], m = 0, n = 1?Consider the same code snippet for the Ones and Zeroes problem. What is the output for strs = ["0"], m = 0, n = 1?
medium🧾 Code Trace Q4 of Q15
Step-by-Step Solution
Solution:
Step 1: Count zeros and ones for "0"
Zeros=1, Ones=0.Step 2: Loop bounds cause range(m, zeros-1, -1) -> range(0, 0, -1) which is empty
Loop does not run, dp not updated, so dp[0][1] remains 0.Final Answer:
Option A -> Option AQuick Check:
Loop does not run, no update, output 0 [OK]
Quick Trick: Check loop bounds and dp updates [OK]
Common Mistakes:
MISTAKES- Assuming dp updates happen despite loop bounds
- Expecting error due to negative indexing
Trap Explanation:
PITFALL- Candidates incorrectly assume negative indexing or errors occur; actually loops skip updates.
Interviewer Note:
CONTEXT- Tests boundary condition handling and loop direction.
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