Implement pow(x, n), which calculates x raised to the power n (i.e., xn). Example 1:Input: x = 2.00000, n = 10Output: 1024.00000Example 2:Input: x = 2.10000, n = 3Output: 9.26100Example 3:Input: x = 2.00000, n = -2Output: 0.25000Explanation: 2-2 = 1/22 = 1/4 = 0.25 Constraints:-100.0 < x < 100.0-231 <= n <= 231-1n is an integer.Either x is not zero or n > 0.-104 <= xn <= 104
Question
Implement pow(x, n), which calculates x raised to the power n (i.e., xn). Example 1:Input: x = 2.00000, n = 10Output: 1024.00000Example 2:Input: x = 2.10000, n = 3Output: 9.26100Example 3:Input: x = 2.00000, n = -2Output: 0.25000Explanation: 2-2 = 1/22 = 1/4 = 0.25 Constraints:-100.0 < x < 100.0-231 <= n <= 231-1n is an integer.Either x is not zero or n > 0.-104 <= xn <= 104
Solution
Here is a Python solution using the concept of "Fast Power" in a recursive manner. This approach reduces the time complexity to O(log n).
def myPow(x, n):
# base case
if n == 0:
return 1.0
# if n is negative, convert x to its reciprocal and n to positive
if n < 0:
x = 1 / x
n = -n
# recursive case
result = myPow(x, n // 2)
if n % 2 == 0:
return result * result
else:
return result * result * x
Here
Similar Questions
Implement pow(x, n), which calculates x raised to the power n (i.e., xn). Example 1:Input: x = 2.00000, n = 10Output: 1024.00000Example 2:Input: x = 2.10000, n = 3Output: 9.26100
Implement pow(x, n), which calculates x raised to the power n (i.e., xn).
Write a Python class to implement pow(x, n).*please upload screenshot of output also.
Given base and exponent , find the power without using inbuilt functionInput FormatGiven two integers base and exponentOutput FormatPrint the powerConstraints1<= n <= 1000000NOTE : The calculated power value might exceed integer range.Sample Input 1:10 3Sample Output 1:1000Sample Input 2:3 4Sample Output 2:81
Write a function to calculate power of a number raised to other.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.