The key idea is to have 2 pointers (i.e. 2 indexes) moving through an array.
Each pointer moves in one direction only, ensuring the method is efficient.
Let's consider an example where we have an array of n positive integers and a target sum t.
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Each pointer moves in one direction only, ensuring the method is efficient.
Let's consider an example where we have an array of n positive integers and a target sum t.
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The goal is to find if a subarray whose sum is x exists.
For this problem, the pointers identify a subarray's first and last value.
On each step, the left pointer moves one position to the right.
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For this problem, the pointers identify a subarray's first and last value.
On each step, the left pointer moves one position to the right.
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The right pointer moves to the right as long as the subarray sum is at most t.
If the sum becomes exactly t, a solution has been found.
The algorithm's time complexity depends on the number of moves of the pointers.
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If the sum becomes exactly t, a solution has been found.
The algorithm's time complexity depends on the number of moves of the pointers.
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The left pointer runs in O(n) since it moves one position at each step.
The right pointer has no explicit upper bound at each step.
But it moves a total of n times during the whole algorithm since it always moves to the right.
So time complexity is O(n).
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The right pointer has no explicit upper bound at each step.
But it moves a total of n times during the whole algorithm since it always moves to the right.
So time complexity is O(n).
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