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 a^2 + b^2 = 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
a
is less than or equal tob
. -
Inside the loop, calculate the sum of the squares of
a
andb
. -
If the sum is equal to
c
, then return True because we have found two numbers. -
If the sum is less than
c
, incrementa
by 1 because we need a larger number to reachc
. -
If the sum is greater than
c
, decrementb
by 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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