Greedy Algorithms - Jump Game II (Minimum Jumps)
Given the following partial dp array representing minimum jumps to reach each index: dp = [0,1,1,2,2], which input array could produce this dp state?
Given the following partial dp array representing minimum jumps to reach each index: dp = [0,1,1,2,2], which input array could produce this dp state?
hard🔄 Reverse Engineer Q9 of Q15
Step-by-Step Solution
Solution:
Step 1: Analyze dp values
dp[0]=0, dp[1]=1, dp[2]=1, dp[3]=2, dp[4]=2 indicates jumps needed to reach each index.Step 2: Match dp to input
Input [2,3,1,1,4] matches dp because from index 0 you can jump to 1 or 2 in 1 jump, then to 3 or 4 in 2 jumps.Final Answer:
Option C -> Option CQuick Check:
dp matches minimal jumps for given input [OK]
Quick Trick: dp array shows minimal jumps per index [OK]
Common Mistakes:
MISTAKES- Confusing dp values with max jumps
- Ignoring jump ranges
Trap Explanation:
PITFALL- Candidates often pick inputs that don't produce given dp states due to misunderstanding jumps.
Interviewer Note:
CONTEXT- Tests ability to reverse engineer input from DP state.
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