1. Use recursion to write a function count_ones that returns how many Is there are in a number n when represented in decimal (base 10). For example, 1231 has two 1s. You can assume that n is nonnegative and at most 9 digits long. Do not use global (or static) variables. In main perform at least three tests of count_ones and use assert to check that the returned value is correct. Your function should have the following prototype: // count_ones (n) returns the number of is in the decimal 77 representation of n // requires: 0 <= n < 10^9 int count_ones (int n);
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- Write a function which takes two integer parameters for values to be added together and returns the result by value. The function may not print anything or read anything directly from the user (i.e. no cin/cout in the function). Assume that the values passed to the function will not be negative, but could be 0 or positive, and will both be integers. The function must implement addition recursively, and cannot use the standalone + operator (only ++) or call any other functions.Write a function decimal_to_binary(decimal_number) that takes in a non-negative integer and returns it in binary as an integer representation. Solve this problem using recursion. Use a helper function (with extra parameters) to handle the recursion.Python only* Use recursive function*. Define concentricCircles with 4 parameters Use def to define concentricCircles with 4 parameters here is the specification for concentricCircles function: It draws a series of concentric circles, where the first parameter specifies the radius of the outermost circle, and the second parameter specifies the number of circles to draw. When viewed as nested rings, all rings should have the same thickness. The third and fourth parameters specify an outer color and an other color, respectively. The outer color is used for the outermost circle, and then every other circle in to the center alternates between that color and the other color. We will test both how many circles are drawn as well as whether the correct circles are drawn in the correct order. Hint: Each function call frame only needs to draw a single circle. Note that you must use the turtleBeads drawDot function to draw each circle Do not use any kind of loop Within the definition of…
- Python only* Use recursive function*. Define concentricCircles with 4 parameters Use def to define concentricCircles with 4 parameters here is the specification for concentricCircles function: It draws a series of concentric circles, where the first parameter specifies the radius of the outermost circle, and the second parameter specifies the number of circles to draw. When viewed as nested rings, all rings should have the same thickness. The third and fourth parameters specify an outer color and an other color, respectively. The outer color is used for the outermost circle, and then every other circle in to the center alternates between that color and the other color. We will test both how many circles are drawn as well as whether the correct circles are drawn in the correct order. Hint: Each function call frame only needs to draw a single circle. Note that you must use the turtleBeads drawDot function to draw each circle Do not use any kind of loop Within the definition of…Question 2: Implementing a Recursive Function .Write recursive function, recursionprob(n), which takes a positive number as its argument and returns the output as shown below. The solution should clearly write the steps as shown in an example in slide number 59 and slide number 60 in lecture slides. After writing the steps, trace the function for “recursiveprob(5)” as shown in an example slide number 61. Function Output: >> recursionprob(1) 1 >> recursionprob(2) 1 4 >> recursionprob(3) 1 4 9 >>recrusionprob(4) 1 4 9 16Write a recursive function called draw_triangle() that outputs lines of '*' to form a right side up isosceles triangle. Function draw_triangle() has one parameter, an integer representing the base length of the triangle. Assume the base length is always odd and less than 20. Output 9 spaces before the first '*' on the first line for correct formatting. Hint: The number of '*' increases by 2 for every line drawn. Ex: If the input of the program is: 3 the function draw_triangle() outputs: * *** Ex: If the input of the program is: 19 the function draw_triangle() outputs: * *** ***** ******* ********* *********** ************* *************** ***************** ******************* Note: No space is output before the first '*' on the last line when the base length is 19. if __name__ == '__main__': base_length = int(input()) draw_triangle(base_length)
- 8. A country has coins of denomination 3, 5 and 10 respectively. Write a recursive function canchange() which returns -1 if it is not possible to pay a value of k using these coins. Otherwise, it returns the minimum number of coins needed to make the payment. For example, canchange(7) will return -1. On the other hand, canchange(14) will return 4 because 14 can be paid as 3+3+3+5 and there is no other way to pay with fewer coins Programming Language:- C8. A country has coins of denomination 3, 5 and 10 respectively. Write a recursive function canchange() which returns -1 if it is not possible to pay a value of k using these coins. Otherwise, it returns the minimum number of coins needed to make the payment. For example, canchange(7) will return -1. On the other hand, canchange(14) will return 4 because 14 can be paid as 3+3+3+5 and there is no other way to pay with fewer coinsWrite a function decimal_to_binary(decimal_number) that takes in a non-negative integer and returns it in binary as an integer representation. Solve this problem using recursion. Use a helper function (with extra parameters) to handle the recursion. Examples decimal_to_binary(7) should return 111 decimal_to_binary(128) should return 10000000 decimal_to_binary(5) should return 101 Make sure your function signature matches the given function decimal_to_binary(decimal_number) because I will be using unit tests to evaluate your code. Return an integer representing the binary number from the function, not a string representation. Python
- Write the definition of a recursive function int simpleSqrt(int n) The function returns the integer square root of n, meaning the biggest integer whose square is less than or equal to n. You may assume that the function is always called with a nonnegative value for n. Use the following algorithm: If n is 0 then return 0. Otherwise, call the function recursively with n-1 as the argument to get a number t. Check whether or not t+1 squared is strictly greater than n. Based on that test, return the correct result. For example, a call to simpleSqrt(8) would recursively call simpleSqrt(7) and get back 2 as the answer. Then we would square (2+1) = 3 to get 9. Since 9 is bigger than 8, we know that 3 is too big, so return 2 in this case. On the other hand a call to simpleSqrt(9) would recursively call simpleSqrt(8) and get back 2 as the answer. Again we would square (2+1) = 3 to get back 9. So 3 is the correct return value in this case.Given two integers x snf y, the following recurrsive definition determined the greatest common divisor of x and y, Write gcd(xy). Write a recursive function, gcd, that takes two integers as parameters and returns the greatest commmon divisorof numbers.Also write a program to test your function. Write a recursive function,reverseDigits, that takes an integer as a parameter snd returns the number with the digits reversed. Also write a program to test your application.Bartleby answered my homework and Write a function called has_duplicates that takes a string parameter and returns True if the string has any repeated characters. Otherwise, it should return False. Implement has_duplicates by creating a histogram using the histogram function above. Do not use any of the implementations of has_duplicates that are given in your textbook. Instead, your implementation should use the counts in the histogram to decide if there are any duplicates. Write a loop over the strings in the provided test_dups list. Print each string in the list and whether or not it has any duplicates based on the return value of has_duplicates for that string. For example, the output for "aaa" and "abc" would be the following. aaa has duplicatesabc has no duplicates Print a line like one of the above for each of the strings in test_dups. True needs to be defined. I tried to code it but didn't accept and got an error message.