curriculum/challenges/english/blocks/learn-the-bisection-method-by-finding-the-square-root-of-a-number/65ef1e10268f8ec9121446d1.md
Outside the function definiton, create a variable N and assign the value of 16 to it.
You should have the variable N = 16 outside the function definition.
({
test: () =>
{
assert(runPython(`_Node(_code).find_variable("N").is_equivalent("N = 16")`))
}
})
def square_root_bisection(square_target, tolerance=1e-7, max_iterations=100):
if square_target < 0:
raise ValueError('Square root of negative number is not defined in real numbers')
if square_target == 1:
root = 1
print(f'The square root of {square_target} is 1')
elif square_target == 0:
root = 0
print(f'The square root of {square_target} is 0')
else:
low = 0
high = max(1, square_target)
root = None
for _ in range(max_iterations):
mid = (low + high) / 2
square_mid = mid**2
if abs(square_mid - square_target) < tolerance:
root = mid
break
elif square_mid < square_target:
low = mid
else:
high = mid
if root is None:
print(f"Failed to converge within {max_iterations} iterations.")
else:
print(f'The square root of {square_target} is approximately {root}')
return root
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