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# Subset Sum (medium)

## Problem Statement

Given a set of positive numbers, determine if a subset exists whose sum is equal to a given number ‘S’.

**Example 1**:

```
Input: {1, 2, 3, 7}, S=6
Output: True
The given set has a subset whose sum is '6': {1, 2, 3}
```

**Example 2**:

```
Input: {1, 2, 7, 1, 5}, S=10
Output: True
The given set has a subset whose sum is '10': {1, 2, 7}
```

**Example 3**:

```
Input: {1, 3, 4, 8}, S=6
Output: False
The given set does not have any subset whose sum is equal to '6'.
```

**Constraints:**

`1 <= num.length <= 200`

`1 <= num[i] <= 100`

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