The problem is to determine the output of the given pseudocode. The pseudocode initializes two variables, $S$ and $T$, and then enters a loop. Inside the loop, $T$ is updated by multiplying it with $S$, and $S$ is decremented by 1. The loop continues until $S$ is no greater than 1. Finally, the value of $T$ is displayed.

Discrete MathematicsAlgorithmsLoopsPseudocodeFactorial
2025/4/8

1. Problem Description

The problem is to determine the output of the given pseudocode. The pseudocode initializes two variables, SS and TT, and then enters a loop. Inside the loop, TT is updated by multiplying it with SS, and SS is decremented by

1. The loop continues until $S$ is no greater than

1. Finally, the value of $T$ is displayed.

2. Solution Steps

Initially, we have S=5S=5 and T=1T=1. The loop continues until S>1S > 1.
Iteration 1:
T=TS=15=5T = T * S = 1 * 5 = 5
S=S1=51=4S = S - 1 = 5 - 1 = 4
Since S=4>1S = 4 > 1, the loop continues.
Iteration 2:
T=TS=54=20T = T * S = 5 * 4 = 20
S=S1=41=3S = S - 1 = 4 - 1 = 3
Since S=3>1S = 3 > 1, the loop continues.
Iteration 3:
T=TS=203=60T = T * S = 20 * 3 = 60
S=S1=31=2S = S - 1 = 3 - 1 = 2
Since S=2>1S = 2 > 1, the loop continues.
Iteration 4:
T=TS=602=120T = T * S = 60 * 2 = 120
S=S1=21=1S = S - 1 = 2 - 1 = 1
Since S=11S = 1 \ngtr 1, the loop terminates.
The final value of TT is
1
2

0. The pseudocode then displays the value of $T$.

3. Final Answer

120

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