Sort the numbers
Given
n integers, you are asked to sort them in increasing order. During each operation, you are allowed to pick one element and move it to the very beginning of the array. What would be the minimum number of operations to sort the array?Input
The first line of the input contains a single integer
n (1 ≤ n ≤ ).The next line contains
n space-separated integers (1 ≤ ≤ ) array elements.Output
The program should print the minimum number of operations required to sort the array.
Examples
Input | Output |
6
11 13 15 12 14 16 | 4 |
Explanation
- Move 14 to the beginning
- Move 13 to the beginning
- Move 12 to the beginning
- Move 11 to the beginning
Constraints
Time limit: 2.4 seconds
Memory limit: 512 MB
Output limit: 1 MB