# Programming Data Structure And Algorithms Using Python | Week 1

**Session: JULY-DEC 2023**

**Course Name: Programming Data Structure And Algorithms Using Python**

**Course Link: Click Here**

**These are Programming Data Structure And Algorithms Assignment 1 Answers**

**Q1. What is the value of g(728) for the function below?def g(y):b = 0while y >= 3:(y,b) = (y/3,b+1)return(b)**

Answer: 5

**Q2. What is f(90)-f(89), given the definition of f below?def f(n):s = 0for i in range(2,n):if n%i == 0 and i%2 == 1:s = s+1return(s)**

Answer: 5

**These are Programming Data Structure And Algorithms Assignment 1 Answers**

**Q3. Consider the following function h.def h(n):s = Truefor i in range(1,n+1):if i*i == n:s = Falsereturn(s)The function h(n) given above returns False for a positive number n if and only if:**

n is an odd number.

n is a prime number.

n is a perfect square.

n is a composite number.

**Answer: n is a perfect square.**

**Q4. Consider the following function foo.def foo(m):if m == 0:return(0)else:return(m+foo(m-1))Which of the following is correct?**

The function always terminates with foo(n) = factorial of n

The function always terminates with foo(n) = n(n+1)/2

The function terminates for nonnegative n with foo(n) = factorial of n

The function terminates for nonnegative n with foo(n) = n(n+1)/2

**Answer: The function always terminates with foo(n) = n(n+1)/2**

**These are Programming Data Structure And Algorithms Assignment 1 Answers**

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**Session: JAN-APR 2023**

**Course Name: Programming Data Structure And Algorithms Using Python**

**Course Link: Click Here**

**These are Programming Data Structure And Algorithms Assignment 1 Answers**

**Q1. What is the value of f(2343) for the function below?**

```
def f(x):
d=0
y=1
while y <= x:
d=d+1
y=y*3
return(d)
```

**Answer: 8**

**Q2. What is h(53)-h(52), given the definition of h below?**

```
def h(n):
s = 0
for i in range(1,n+1):
if n%i > 0:
s = s+1
return(s)
```

**Answer: 5**

**Q3. For what integer value n would g(92,n) return 13?**

```
def g(m,n):
res = 0
while m >= n:
res = res+1
m = m-n
return(res)
```

**Answer: 7**

**These are Programming Data Structure And Algorithms Assignment 1 Answers**

**Q4. Consider the following function mys:**

```
def mys(m):
if m == 1:
return(1)
else:
return(m*mys(m-1))
```

**Which of the following is correct, assuming we always pass an integer argument to mys?**

a. The function always terminates with mys(n) = factorial of n

b. The function always terminates with mys(n) = 1+2+…+n

c. The function terminates for non-negative n with mys(n) = factorial of n

d. The function terminates for positive n with mys(n) = factorial of n

**Answer: d. The function terminates for positive n with mys(n) = factorial of n**

**Session: JULY-DEC 2022**

**These are Programming Data Structure And Algorithms Assignment 1 Answers**

1. What does h(27993) return for the following function definition?

```
def h(x):
(d,n) = (1,0)
while d <= x:
(d,n) = (d*3,n+1)
return(n)
```

**Answer:- 10**

2. What is g(60) – g(48), given the definition of g below?

```
def g(n):
s=0
for i in range(2,n):
if n%i == 0:
s = s+1
return(s)
```

**Answer:- 2**

**These are Programming Data Structure And Algorithms Assignment 1 Answers**

3. Consider the following function f.

```
def f(n):
s=0
for i in range(1,n+1):
if n//i == i and n%i == 0:
s = 1
return(s%2 == 1)
```

The function f(n) given above returns True for a positive number n if and only if:

a. n is an odd number.

b. n is a prime number.**c. n is a perfect square.**d. n is a composite number.

**Answer:- c**

4. Consider the following function foo.

```
def foo(m):
if m == 0:
return(0)
else:
return(m+foo(m-1))
```

Which of the following is correct?

a. The function always terminates with foo(n) = factorial of n

b. The function always terminates with foo(n) = n(n+1)/2

c. The function terminates for nonnegative n with foo(n) = factorial of n**d. The function terminates for nonnegative n with foo(n) = n(n+1)/2**

**Answer:- d**

**These are Programming Data Structure And Algorithms Assignment 1 Answers**

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