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Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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**Understanding Armstrong Numbers**

An **Armstrong number** is a number that equals the sum of the cubes of its individual digits. For example, 153 is an Armstrong number because:

\[ 153 = (1)^3 + (5)^3 + (3)^3 \]

Calculating the cubes:

\[ 153 = 1 + 125 + 27 \]

Thus:

\[ 153 = 153 \]

**Function Explanation**

Write a function `armstrong(n1, n2)`, which finds all Armstrong numbers between the given integers `n1` and `n2`, inclusive, and returns them in an array.

**Note:**

- Include both `n1` and `n2` in the search interval for Armstrong numbers.
- If no Armstrong numbers are found in the interval, return an empty array `output = []`.

**Function Arguments**

- **Input:**
  - `n1`: an integer indicating the start of the range.
  - `n2`: an integer indicating the end of the range.
  
- **Output:**
  - `output`: an array containing all Armstrong numbers within the given interval.

**Example**

- Given:
  - `n1 = 150`
  - `n2 = 400`
  
- Calling the function `armstrong(n1, n2)` produces:

  \[ \text{OutValue} = 153, 370, 371 \]

**Hint for Finding Armstrong Numbers**

1. Split all digits of the number being tested.
2. Find the cube value of each digit.
3. Sum the cube values of all digits.
4. If the sum equals the original number, then it is an Armstrong number.
Transcribed Image Text:**Understanding Armstrong Numbers** An **Armstrong number** is a number that equals the sum of the cubes of its individual digits. For example, 153 is an Armstrong number because: \[ 153 = (1)^3 + (5)^3 + (3)^3 \] Calculating the cubes: \[ 153 = 1 + 125 + 27 \] Thus: \[ 153 = 153 \] **Function Explanation** Write a function `armstrong(n1, n2)`, which finds all Armstrong numbers between the given integers `n1` and `n2`, inclusive, and returns them in an array. **Note:** - Include both `n1` and `n2` in the search interval for Armstrong numbers. - If no Armstrong numbers are found in the interval, return an empty array `output = []`. **Function Arguments** - **Input:** - `n1`: an integer indicating the start of the range. - `n2`: an integer indicating the end of the range. - **Output:** - `output`: an array containing all Armstrong numbers within the given interval. **Example** - Given: - `n1 = 150` - `n2 = 400` - Calling the function `armstrong(n1, n2)` produces: \[ \text{OutValue} = 153, 370, 371 \] **Hint for Finding Armstrong Numbers** 1. Split all digits of the number being tested. 2. Find the cube value of each digit. 3. Sum the cube values of all digits. 4. If the sum equals the original number, then it is an Armstrong number.
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