Draw a flowchart to check whether a given number is an Armstrong number. An Armstrong number of three digits is an integer such that the sum of the cubes of its digits is equal to the number itself. For example, 371 is an Armstrong number since 3**3 + 7**3 + 1**3 = 371.

Question

Accepted Answer

> [!TLDR]
> Loop-extract the digits with MOD 10 and DIV 10, accumulate the cube of each digit, then compare the sum with the original number — equal means Armstrong.

**The idea (Armstrong check).** A 3-digit number is an Armstrong number when the sum of the cubes of its digits equals the number itself (371 → 27 + 343 + 1 = 371). The algorithmic core is **digit extraction**: `temp MOD 10` yields the last digit and `temp DIV 10` (integer division) removes it, repeated until temp is 0. We must keep the original number safe in NUM while a *copy* (temp) is destroyed, so the final comparison is still possible.

**Flowchart — nodes and arrows**

| # | Shape | Text | Arrows out |
|---|---|---|---|
| 1 | Rounded rectangle | Start | → 2 |
| 2 | Parallelogram | Input NUM | → 3 |
| 3 | Rectangle | temp = NUM ; sum = 0 | → 4 |
| 4 | Diamond | temp > 0 ? | **Yes** → 5 · **No** → 6 |
| 5 | Rectangle | digit = temp MOD 10 ; sum = sum + digit × digit × digit ; temp = temp DIV 10 | → back to 4 |
| 6 | Diamond | sum == NUM ? | **Yes** → 7 · **No** → 8 |
| 7 | Parallelogram | Print "NUM is an Armstrong number" | → 9 |
| 8 | Parallelogram | Print "NUM is not an Armstrong number" | → 9 |
| 9 | Rounded rectangle | Stop | — |

**Python verification**

```python
NUM = int(input("Enter a 3-digit number: "))
temp = NUM
total = 0
while temp > 0:
    digit = temp % 10
    total = total + digit ** 3
    temp = temp // 10
if total == NUM:
    print(NUM, "is an Armstrong number")
else:
    print(NUM, "is not an Armstrong number")
```

**Dry run for NUM = 371**

Q.Draw a flowchart to check whether a given number is an Armstrong number. An Armstrong number of three digits is an integer such that the sum of the cubes of its digits is equal to the number itself. For example, 371 is an Armstrong number since 33 + 73 + 1**3 = 371.

Concept understanding — Armstrong Number Check

What Is an Armstrong Number? The Intuition

The Precise Definition

Examples to Build Understanding

Single-Digit Numbers: A Special Case

How to Check Any Number (The Algorithm)

#	Shape	Text	Arrows out
1	Rounded rectangle	Start	→ 2
2	Parallelogram	Input NUM	→ 3
3	Rectangle	temp = NUM ; sum = 0	→ 4
4	Diamond	temp > 0 ?	Yes → 5 · No → 6
5	Rectangle	digit = temp MOD 10 ; sum = sum + digit × digit × digit ; temp = temp DIV 10	→ back to 4
6	Diamond	sum == NUM ?	Yes → 7 · No → 8
7	Parallelogram	Print "NUM is an Armstrong number"	→ 9
8	Parallelogram	Print "NUM is not an Armstrong number"	→ 9
9	Rounded rectangle	Stop	—

Q.Draw a flowchart to check whether a given number is an Armstrong number. An Armstrong number of three digits is an integer such that the sum of the cubes of its digits is equal to the number itself. For example, 371 is an Armstrong number since 33 + 73 + 1**3 = 371.

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