Given a non-negative integer c, decide whether there're two integers a and b such that a2 + b2 = c.
Question
Given a non-negative integer c, decide whether there're two integers a and b such that a2 + b2 = c.
Solution
Sure, here is a step-by-step guide to solve this problem:
-
Initialize two pointers, one at 0 (let's call it
a) and another at the square root ofc(let's call itb). -
Create a while loop where
ais less than or equal tob. -
Inside the loop, calculate the sum of the squares of
aandb. -
If the sum is equal to
c, then return True because we have found two numbers. -
If the sum is less than
c, incrementaby 1 because we need a larger number to reachc. -
If the sum is greater than
c, decrementbby 1 because we need a smaller number to reachc. -
If the loop finishes without finding two numbers, return False.
This algorithm works because it systematically checks all possible pairs of a and b that could sum to c. The use of two pointers allows us to efficiently narrow down the possibilities.
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