Conditional and Looping Constructs — Question 10

1   1
2   1
2   2
3   1
3   2
3   3
4   1
4   2
4   3
4   4
5   1
5   2
5   3
5   4
5   5

Below is the detailed explanation of this code:

1. Outer Loop: for x in range(1, 6):

• This loop iterates over the range of numbers starting from 1 up to but not including 6. So, x will take on the values: 1, 2, 3, 4, 5.

2. Inner Loop: for y in range(1, x + 1):

• For each value of x in the outer loop, y will iterate over the range of numbers starting from 1 up to and including x (since x + 1 is exclusive).

3. print(x, ' ', y)

• This prints the current values of x and y separated by a space.

Let’s analyze the loops iteration by iteration.

Outer loop (x values ranging from 1 to 5):

When x = 1:

• The inner loop range(1, 2) results in y taking values: 1.
• Output:

  1   1
  

When x = 2:

• The inner loop range(1, 3) results in y taking values: 1, 2.
• Output:

  2   1
  2   2
  

When x = 3:

• The inner loop range(1, 4) results in y taking values: 1, 2, 3.
• Output:

  3   1
  3   2
  3   3
  

When x = 4:

• The inner loop range(1, 5) results in y taking values: 1, 2, 3, 4.
• Output:

  4   1
  4   2
  4   3
  4   4
  

When x = 5:

• The inner loop range(1, 6) results in y taking values: 1, 2, 3, 4, 5.
• Output:

  5   1
  5   2
  5   3
  5   4
  5   5
  

Putting all these outputs together, we get:

1   1
2   1
2   2
3   1
3   2
3   3
4   1
4   2
4   3
4   4
5   1
5   2
5   3
5   4
5   5