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# Minimum Loss

# Minimum Loss

Lauren has a chart of distinct projected prices for a house over the next several years. She must buy the house in one year and sell it in another, and she must do so at a loss. She wants to minimize her financial loss.

For example, the house is valued at over the next years. She can purchase the home in any year, but she must resell the house at a loss in one of the following years. Her minimum loss would be incurred by purchasing in year at and reselling in year at .

Find and print the *minimum* amount of money Lauren must lose if she buys the house and resells it within the next years.

*Note:* It's guaranteed that a valid answer exists.

**Input Format**

The first line contains an integer , the number of years of house data.

The second line contains space-separated long integers describing each .

**Constraints**

- All the prices are distinct.
- A valid answer exists.

**Subtasks**

- for of the maximum score.

**Output Format**

Print a single integer denoting the minimum amount of money Lauren must lose if she buys and resells the house within the next years.

**Sample Input 0**

```
3
5 10 3
```

**Sample Output 0**

```
2
```

**Explanation 0**

Lauren buys the house in year at and sells it in year at for a minimal loss of .

**Sample Input 1**

```
5
20 7 8 2 5
```

**Sample Output 1**

```
2
```

**Explanation 1**

Lauren buys the house in year at and sells it in year at for a minimal loss of .