4.17 LAB: Brute force equation solver Numerous engineering and scientific applications require finding solutions to a set of equations. Ex: 8x + 7y=38 and 3x - 5y = -1 have a solution x = 3, y=2. Given integer coefficients of two linear equations with variables x and y, use brute force to find an integer solution for x and y in the range-10 to 10. Ex: If the input is: 87 38 3 -5 -1 the output is: 32 because 8x3 +7x2-38 and 3x3 +-5x2=-1. Use this brute force approach: For every value of x from -10 to 10 For every value of y from -10 to 10 Check if the current x and y satisfy both equations. If so, output the solution, and finish. Ex: If no solution is found, output: No solution You can assume the two equations have no more than one solution. Note: Elegant mathematical techniques exist to solve such linear equations. However, for other kinds of equations or situations, brute force can be handy. LAB ACTIVITY 4.17.1: LAB: Brute force equation solver 0/28

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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In C++

---

**4.17 LAB: Brute force equation solver**

Numerous engineering and scientific applications require finding solutions to a set of equations. For example: 

8x + 7y = 38 and 3x - 5y = -1

These equations have a solution x = 3, y = 2. Given integer coefficients of two linear equations with variables x and y, use brute force to find an integer solution for x and y in the range -10 to 10.

**Example:**

If the input is:

```
8 7 38
3 -5 -1
```

The output is:

```
3 2
```

because 8*3 + 7*2 = 38 and 3*3 + -5*2 = -1.

**Use this brute force approach:**

```
For every value of x from -10 to 10
    For every value of y from -10 to 10
        Check if the current x and y satisfy both equations. If so, output the solution, and finish.
```

**Example:**

If no solution is found, output:

```
No solution
```

You can assume the two equations have no more than one solution.

**Note:** Elegant mathematical techniques exist to solve such linear equations. However, for other kinds of equations or situations, brute force can be handy.

---
Transcribed Image Text:--- **4.17 LAB: Brute force equation solver** Numerous engineering and scientific applications require finding solutions to a set of equations. For example: 8x + 7y = 38 and 3x - 5y = -1 These equations have a solution x = 3, y = 2. Given integer coefficients of two linear equations with variables x and y, use brute force to find an integer solution for x and y in the range -10 to 10. **Example:** If the input is: ``` 8 7 38 3 -5 -1 ``` The output is: ``` 3 2 ``` because 8*3 + 7*2 = 38 and 3*3 + -5*2 = -1. **Use this brute force approach:** ``` For every value of x from -10 to 10 For every value of y from -10 to 10 Check if the current x and y satisfy both equations. If so, output the solution, and finish. ``` **Example:** If no solution is found, output: ``` No solution ``` You can assume the two equations have no more than one solution. **Note:** Elegant mathematical techniques exist to solve such linear equations. However, for other kinds of equations or situations, brute force can be handy. ---
Certainly! Below is a transcription of the image, formatted for an educational website context.

---

**LAB ACTIVITY**  
**4.17.1: LAB: Brute force equation solver**

**main.cpp**

```cpp
#include <iostream>
using namespace std;

int main() {
    /* Type your code here. */

    return 0;
}
```

**Instructions:**

- You will develop a C++ program to solve equations using a brute force method. The provided code template is a starting point for your implementation.

**Interface:**

- **Develop mode**: Use this mode to continually work on your code.  
- **Submit mode**: Use this mode to finalize and turn in your solution.

**Input Section:**
- Enter any required inputs for your program here. This is necessary if your code depends on specific inputs to run effectively.

**Execution Process:**

- Click the **Run program** button to compile and execute your code.  
- The diagram below illustrates the execution flow:  
  - **Input (from above)** → **main.cpp (Your program)** → **Output (shown below)**

- Please note that the program output will be displayed in the designated area beneath the run button.

**Program Output:**
- The results of your program execution will be displayed here for review.

**Coding trail of your work:** [What is this?] 

---

This setup is designed to facilitate your understanding of how to implement, test, and submit solutions effectively for automated grading. Good luck with your coding and problem-solving!
Transcribed Image Text:Certainly! Below is a transcription of the image, formatted for an educational website context. --- **LAB ACTIVITY** **4.17.1: LAB: Brute force equation solver** **main.cpp** ```cpp #include <iostream> using namespace std; int main() { /* Type your code here. */ return 0; } ``` **Instructions:** - You will develop a C++ program to solve equations using a brute force method. The provided code template is a starting point for your implementation. **Interface:** - **Develop mode**: Use this mode to continually work on your code. - **Submit mode**: Use this mode to finalize and turn in your solution. **Input Section:** - Enter any required inputs for your program here. This is necessary if your code depends on specific inputs to run effectively. **Execution Process:** - Click the **Run program** button to compile and execute your code. - The diagram below illustrates the execution flow: - **Input (from above)** → **main.cpp (Your program)** → **Output (shown below)** - Please note that the program output will be displayed in the designated area beneath the run button. **Program Output:** - The results of your program execution will be displayed here for review. **Coding trail of your work:** [What is this?] --- This setup is designed to facilitate your understanding of how to implement, test, and submit solutions effectively for automated grading. Good luck with your coding and problem-solving!
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