# Python: Find all 5's in integers less than n that are divisible by 9 or 15

## Python Programming Puzzles: Exercise-68 with Solution

Write a Python program to find all 5's in integers less than n that are divisible by 9 or 15.

Input: Value of n = 50 Output: [[15, 1], [45, 1]] Input: Value of n = 65 Output: [[15, 1], [45, 1], [54, 0]] Input: Value of n = 75 Output: [[15, 1], [45, 1], [54, 0]] Input: Value of n = 85 Output: [[15, 1], [45, 1], [54, 0], [75, 1]] Input: Value of n = 150 Output: [[15, 1], [45, 1], [54, 0], [75, 1], [105, 2], [135, 2]]

**Pictorial Presentation:**

**Sample Solution-1:**

**Python Code:**

```
def test(n):
return [[i,j] for i in range(n) for j in range(len(str(i))) if str(i)[j] == '5' and (i%15==0 or i%9==0)]
n = 50
print("Value of n = ",n)
print("5's in integers less than",n,"that are divisible by 9 or 15:")
print(test(n))
n = 65
print("\nValue of n = ",n)
print("5's in integers less than",n,"that are divisible by 9 or 15:")
print(test(n))
n = 75
print("\nValue of n = ",n)
print("5's in integers less than",n,"that are divisible by 9 or 15:")
print(test(n))
n = 85
print("\nValue of n = ",n)
print("5's in integers less than",n,"that are divisible by 9 or 15:")
print(test(n))
n = 150
print("\nValue of n = ",n)
print("5's in integers less than",n,"that are divisible by 9 or 15:")
print(test(n))
```

Sample Output:

Value of n = 50 5's in integers less than 50 that are divisible by 9 or 15: [[15, 1], [45, 1]] Value of n = 65 5's in integers less than 65 that are divisible by 9 or 15: [[15, 1], [45, 1], [54, 0]] Value of n = 75 5's in integers less than 75 that are divisible by 9 or 15: [[15, 1], [45, 1], [54, 0]] Value of n = 85 5's in integers less than 85 that are divisible by 9 or 15: [[15, 1], [45, 1], [54, 0], [75, 1]] Value of n = 150 5's in integers less than 150 that are divisible by 9 or 15: [[15, 1], [45, 1], [54, 0], [75, 1], [105, 2], [135, 2]]

**Flowchart:**

## Visualize Python code execution:

The following tool visualize what the computer is doing step-by-step as it executes the said program:

**Sample Solution-2:**

**Python Code:**

```
def test(n):
return [[i, j] for i in range(n) if (i % 9 == 0 or i % 15 == 0) for j, c in enumerate(str(i)) if c == '5']
n = 50
print("Value of n = ",n)
print("5's in integers less than",n,"that are divisible by 9 or 15:")
print(test(n))
n = 65
print("\nValue of n = ",n)
print("5's in integers less than",n,"that are divisible by 9 or 15:")
print(test(n))
n = 75
print("\nValue of n = ",n)
print("5's in integers less than",n,"that are divisible by 9 or 15:")
print(test(n))
n = 85
print("\nValue of n = ",n)
print("5's in integers less than",n,"that are divisible by 9 or 15:")
print(test(n))
n = 150
print("\nValue of n = ",n)
print("5's in integers less than",n,"that are divisible by 9 or 15:")
print(test(n))
```

Sample Output:

Value of n = 50 5's in integers less than 50 that are divisible by 9 or 15: [[15, 1], [45, 1]] Value of n = 65 5's in integers less than 65 that are divisible by 9 or 15: [[15, 1], [45, 1], [54, 0]] Value of n = 75 5's in integers less than 75 that are divisible by 9 or 15: [[15, 1], [45, 1], [54, 0]] Value of n = 85 5's in integers less than 85 that are divisible by 9 or 15: [[15, 1], [45, 1], [54, 0], [75, 1]] Value of n = 150 5's in integers less than 150 that are divisible by 9 or 15: [[15, 1], [45, 1], [54, 0], [75, 1], [105, 2], [135, 2]]

**Flowchart:**

## Visualize Python code execution:

The following tool visualize what the computer is doing step-by-step as it executes the said program:

**Python Code Editor :**

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## Python: Tips of the Day

**Clamps num within the inclusive range specified by the boundary values x and y:**

Example:

def tips_clamp_num(num,x,y): return max(min(num, max(x, y)), min(x, y)) print(tips_clamp_num(2, 4, 6)) print(tips_clamp_num(1, -1, -6))

Output:

4 -1

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