The flowchart describes an algorithm that increments a variable i and updates a variable x until x is greater than or equal to 25. Let's break down the flowchart step by step:
i as an integerx as a real numberi := 1x := 10x is less than 25.i := i + 1 (increments i by 1)x := x + 0.1 * x (increments x by 10% of its current value)x >= 25.i.Here’s how the algorithm behaves in terms of code-style execution:
i = 1
x = 10
while x < 25:
i = i + 1
x = x + 0.1 * x
print(i)
The algorithm essentially calculates how many iterations it takes for x, starting at 10 and increasing by 10% each time, to reach or exceed 25, and then outputs the corresponding value of i.