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Given the memoization cache state after processing input array of length 5: memo = [True, True, False, None, None], which of the following input arrays could produce this memo state?

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Greedy Algorithms - Jump Game (Can Reach End?)
Given the memoization cache state after processing input array of length 5: memo = [True, True, False, None, None], which of the following input arrays could produce this memo state?
A[2,3,1,0,4]
B[1,1,1,1,1]
C[2,3,1,1,4]
D[3,2,1,0,4]
Step-by-Step Solution
Solution:
  1. Step 1: Interpret memo values

    memo[0]=True means start reachable; memo[2]=False means position 2 cannot reach end.
  2. Step 2: Check input arrays

    [3,2,1,0,4] allows jump over 0 at pos 3, so memo[2] likely True; [2,3,1,0,4] matches memo pattern with stuck at pos 2.
  3. Final Answer:

    Option A -> Option A
  4. Quick Check:

    Only [2,3,1,0,4] matches memo with False at pos 2 [OK]
Quick Trick: False in memo means stuck position in input [OK]
Common Mistakes:
MISTAKES
  • Ignoring memo meaning
  • Assuming all True memo
Trap Explanation:
PITFALL
  • Candidates confuse memo meaning or pick input with no stuck positions.
Interviewer Note:
CONTEXT
  • Tests ability to reason backward from DP memo to input.
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