100 Days of Code: Queue Problems and Controlled Flow

Day 94 of my #100DaysOfCode Challenge Today’s problems focused on controlled rearrangement and sequential generation — reordering elements without losing structure, and producing patterns using level-wise expansion. Queues once again proved they’re not just about storage — they’re about flow. 🔹 1️⃣ Interleave the First Half of the Queue with Second Half — GFG The task was to rearrange a queue by interleaving its first half with the second half while preserving order. Key ideas: • Split the queue into two equal halves • Use an auxiliary queue for the first half • Alternately push elements from both halves • Maintain relative ordering throughout This problem shows how queues can be reshaped without random access — purely through controlled movement. ⏱ Time Complexity: O(n) 📦 Space Complexity: O(n) 🔹 2️⃣ Generate Binary Numbers — GFG Here, the challenge was to generate binary representations from 1 to n in order. Core strategy: • Use a queue to simulate BFS • Start with "1" • Generate next binaries by appending 0 and 1 • Process level by level A great example of how queues naturally model sequence generation and breadth-first expansion. ⏱ Time Complexity: O(n) 📦 Space Complexity: O(n) Some problems rearrange what already exists. Others generate structure step by step. But both reinforce the same lesson: “When flow is controlled, complexity becomes predictable.” #100DaysOfCode #Day94 #Queue #BFS #GFG #Java #DSA #ProblemSolving #LearningInPublic 🚀

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