Algorithms: Two Pointers Technique

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16 Questions

What is the time complexity of using the two pointers technique on a sorted array to find a pair with a given sum?

O(n)

Which of the following problems can be efficiently solved using the two pointers technique?

Removing duplicates from a sorted array

When detecting a cycle in a linked list using two pointers, what is the approach called?

Floyd’s Cycle Detection Algorithm

In which scenario is the two pointers technique NOT applicable?

Checking if two strings are anagrams

When using the two pointers technique to remove duplicates from a sorted array, what should be the initial positions of the pointers?

One at the beginning and one at the second element

Which of the following problems can be solved using the two pointers technique?

Container With Most Water

In the problem of 'Container With Most Water', how do you move the pointers?

Move the shorter line's pointer towards the other

What is the main advantage of using the two pointers technique?

It reduces the time complexity of the problem

What is the main advantage of using the two pointers technique?

To reduce time complexity

Which data structure is often used with the two pointers technique?

Array or linked list

What is the typical movement pattern of the two pointers in an array?

Both pointers move in the same direction

What problem can be solved using the two pointers technique where one pointer moves one step and the other two steps?

Find the middle of a linked list

Which of the following is NOT a use case for the two pointers technique?

Find the minimum element in an unsorted array

How do you typically initialize the two pointers in an array?

One pointer starts at the beginning and one at the end

What is the main idea behind the two pointers technique?

To process pairs of elements in an array or linked list

Which of the following problems is NOT typically solved using the two pointers technique?

Sort an array in descending order

Study Notes

Two Pointers Technique

  • The primary goal of the two pointers technique is to reduce time complexity, space complexity, and solve problems involving arrays and linked lists.
  • The technique is commonly used to solve problems such as Linked List Cycle Detection, finding the middle of a linked list, and removing duplicates from a sorted array.

Initial Position of Pointers

  • When used on an array, the typical initial position of pointers is one at the beginning and one at the end.
  • When used on a linked list, the initial position of pointers depends on the problem being solved.

Moving Pointers

  • When checking pairs, the pointers are generally moved towards each other.
  • When finding the middle of a linked list, one pointer moves one step at a time, and the other moves two steps at a time.
  • When solving the "Container With Most Water" problem, the shorter line's pointer is moved towards the other.

Problem Solving

  • The two pointers technique can be used to solve problems such as:
    • Finding if an array is a palindrome
    • Finding a pair with a given sum in a sorted array
    • Removing duplicates from a sorted array
    • Finding the intersection of two sorted arrays
    • Solving the "Container With Most Water" problem
  • The technique is not applicable for solving problems such as checking if two strings are anagrams.

Time Complexity

  • The time complexity of using the two pointers technique on a sorted array to find a pair with a given sum is O(n).
  • The technique is efficient for solving problems like removing duplicates from a sorted array.

Cycle Detection

  • The approach of using two pointers to detect a cycle in a linked list is called Floyd's Cycle Detection Algorithm.

Test your understanding of the two pointers technique in algorithms, including its primary goal and applications in solving problems involving arrays and linked lists.

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