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Does this optimization work for all nested loops?

No. It only works if the inner loop's purpose is searching or counting. It does not work if the inner loop is printing a 2D matrix or sorting data.

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More FAQs in How to Optimize a Nested Loop into a Single Loop

The most common way is to eliminate the inner loop by utilizing a Hash Map or Hash Set to store and retrieve data in O(1) constant time.

The complement is the exact value needed to reach the target sum. It is calculated by subtracting the current number from the target (Target - Current).

An inner loop takes O(N) time to scan an array for a value. A Hash Set takes O(1) time to check if it contains a value, making it massively faster.

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