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🔮 Placement Oracle

Find the Insert Position (Lower Bound)

Target Value

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Current Mid

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Search Range

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Insert Position

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Steps

0
🧠 Oracle's Wisdom
Find the smallest index where arr[i] ≥ target
Lower Bound: The smallest index i such that arr[i] ≥ target. If target exists, it's the first occurrence. If not, it's where target should be inserted.
🔮 The Sorted Array 🔮
Left: -
Mid: -
Right: -
Answer: -
Generate an array to find the insert position!

📖 Insert Position (Lower Bound) Algorithm

Problem: Find the smallest index where arr[i] ≥ target.

Logic:

• If arr[mid] ≥ target: This could be our answer, but there might be a smaller index. Save it and search LEFT.

• If arr[mid] < target: Too small, search RIGHT.

Result: Returns the position where target exists OR should be inserted to maintain sorted order.

Time Complexity: O(log n)