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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:

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

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:

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

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:

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

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

Find current directory and file's directory:

To get the full path to the directory a Python file is contained in, write this in that file:

import os 
dir_path = os.path.dirname(os.path.realpath(__file__))

(Note that the incantation above won't work if you've already used os.chdir() to change your current working directory, since the value of the __file__ constant is relative to the current working directory and is not changed by an os.chdir() call.)

To get the current working directory use

import os
cwd = os.getcwd()

Documentation references for the modules, constants and functions used above:

  • The os and os.path modules.
  • The __file__ constant
  • os.path.realpath(path) (returns "the canonical path of the specified filename, eliminating any symbolic links encountered in the path")
  • os.path.dirname(path) (returns "the directory name of pathname path")
  • os.getcwd() (returns "a string representing the current working directory")
  • os.chdir(path) ("change the current working directory to path")

Ref: https://bit.ly/3fy0R6m