Question

If the partitions are dynamic and a new job arrives requiring 52 blocks of
main memory, show memory after using each of the following partition
selection approaches.

Operating systems
-------------------------
Process 1
-------------------------
Empty 60 blocks
-------------------------
Process 2
-------------------------
Process 3
-------------------------
Empty 52 blocks
-------------------------
Empty 100 blocks

Answer 1

To visualize how memory would look after applying different partition selection approaches when a new job that requires 52 blocks of memory arrives, let's define the memory blocks:

- Total memory: 100 blocks
- Used by processes:
- Process 1: 60 blocks
- Process 2: 52 blocks (unused here)
- Process 3: memory not specified in your request

I will demonstrate how memory would be allocated based on three common partition selection strategies: **First Fit**, **Best Fit**, and **Worst Fit**.

### 1. Current State of Memory
Let's represent the blocks of memory as follows based on the current allocations:

```
Memory Blocks (Total: 100)
---------------------------------------------------
| P1 | P1 | P1 | P1 | P1 | P1 | P1 | P1 | P1 | P1 | - *Process 1 (60 blocks)*
| P1 | P1 | P1 | P1 | P1 | P1 | P1 | P1 | | |
---------------------------------------------------

| | | | | | |
| | | | P2 | | | - *Empty Blocks*
| | | | | | |
---------------------------------------------------

| | | | | | |
| | | | P3 | | | - *Process 3 (not specified)*
| | | | | | |
---------------------------------------------------

| | | | | | | | | | |
| | | | | | | | | | | - *Additional Empty blocks*
---------------------------------------------------
```

### 2. First Fit
In the **First Fit** approach, we allocate the first available block that fits the required size.

- **Current memory** has 52 empty blocks, meaning we can place the new job requiring 52 blocks in the first empty space.

```
After First Fit Allocation
---------------------------------------------------
| P1 | P1 | P1 | P1 | P1 | P1 | P1 | P1 | P1 | P1 |
| P1 | P1 | P1 | P1 | P1 | P1 | P1 | P1 | | |
---------------------------------------------------

| | | | | | |
| | | | P2 | | |
| | | | | | |
---------------------------------------------------

| | | | | | |
| | | | P3 | | |
| | | | | | |
---------------------------------------------------

| J | J | J | J | J | J | J | J | J | J | - *New Job (52 blocks)*
| J | J | J | J | J | J | J | J | J | J |
---------------------------------------------------
```

### 3. Best Fit
In the **Best Fit** approach, we look for the smallest available partition that fits the required size. Here the empty block count doesn't influence placement since both empty blocks accommodate a job over 52 blocks (the 52 block section).

```
After Best Fit Allocation (similar since all fit)
---------------------------------------------------
| P1 | P1 | P1 | P1 | P1 | P1 | P1 | P1 | P1 | P1 |
| P1 | P1 | P1 | P1 | P1 | P1 | P1 | P1 | | |
---------------------------------------------------

| | | | | | |
| | | | P2 | | |
| | | | | | |
---------------------------------------------------

| | | | | | |
| | | | P3 | | |
| | | | | | |
---------------------------------------------------

| J | J | J | J | J | J | J | J | J | J |
| J | J | J | J | J | J | J | J | J | J |
---------------------------------------------------
```

### 4. Worst Fit
In the **Worst Fit** approach, we choose the largest available partition. In the current setup, we would allocate from the 100 blocks since it has the maximum available.

```
After Worst Fit Allocation
---------------------------------------------------
| P1 | P1 | P1 | P1 | P1 | P1 | P1 | P1 | P1 | P1 |
| P1 | P1 | P1 | P1 | P1 | P1 | P1 | P1 | | |
---------------------------------------------------

| J | J | J | J | J | J | J | J | J | J | - New Job (52 blocks)
| J | J | J | J | J | J | J | J | J | J |
---------------------------------------------------

| | | | | | |
| | | | P3 | | |
| | | | P2 (76 left) | | |
---------------------------------------------------
```
### Summary
In all cases, the new job can occupy either the empty 52 blocks or the 100 block section among existing processes depending on which partition strategy was chosen. For **First Fit**, it occupied the first available partition; **Best Fit** used the exact fit; and for **Worst Fit**, it took the largest space available.

Note that this solution assumes there are no fragmentation issues affecting the allocation of processes in specific memory locations.