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How to Optimize a Nested Loop into a Single Loop

What is the complement in the Two Sum problem?

The answer

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).

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.

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.

You trade Space for Time. The single loop is incredibly fast (O(N)), but you must consume extra memory (O(N)) to build the Hash Set.

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