How many times is the while loop run during the final iteration of the for loop? for i in range(5,1,-1): k = -5 while k

Question

How many times is the while loop run during the final iteration of the for loop? for i in range(5,1,-1): k = -5 while k < i: k = k + 1  i = i - 1

BlackTom AI · Accepted Answer

range(5,1,-1) produces the sequence 5, 4, 3, 2, so the final for-loop value is i = 2. Key points: range behavior, while condition evaluated each loop, and the body modifies both k and i (k increases by 1, i decreases by 1), so i changes while the while condition is being tested.

Step-by-step simulation (showing values before each while-condition check and after the body):
- Start final iteration: i = 2, k = -5.
- Check 1: is k < i? -5 < 2 → True. Execute body: k = -5 + 1 = -4; i = 2 - 1 = 1.
- Check 2: is k < i? -4 < 1 → True. Execute body: k = -4 + 1 = -3; i = 1 - 1 = 0.
- Check 3: is k < i? -3 < 0 → True. Execute body: k = -3 + 1 = -2; i = 0 - 1 = -1.
- Check 4: is k < i? -2 < -1 → True. Execute body: k = -2 + 1 = -1; i = -1 - 1 = -2.
- Check 5: is k < i? -1 < -2 → False. Loop exits.

Thus the while body executed 4 times during the final for-loop iteration.

Alternative algebraic view: after t iterations, k = -5 + t and i = 2 - t. The while continues while -5 + t < 2 - t → 2t < 7 → t < 3.5. The integer iteration count t that satisfy continuation are t = 0,1,2,3 (four executions). When t reaches 4 the condition fails, so the loop ran 4 times.

Why other choices are wrong: 1, 2, and 3 undercount the number of times the body runs based on the simulation; 5 overcounts because the condition fails before a fifth execution.

Final answer: d. 4 (matches the provided correct answer).

How many times is the while loop run during the final iteration of the for loop? for i in range(5,1,-1): k = -5 while k < i: k = k + 1 i = i - 1单项选择题

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