#K11141. Verify Harmony

    ID: 23403 Type: Default 1000ms 256MiB

Verify Harmony

Verify Harmony

You are given a permutation of the first N natural numbers and an integer K. Your task is to verify if the first K elements of the permutation form a strictly increasing sequence.

In other words, check whether the following condition holds:

$$ a_1 < a_2 < \cdots < a_K $$

If the condition is satisfied, print Good Harmony; otherwise, print Discord.

inputFormat

The first line of the input contains two space-separated integers N and K, where N is the number of elements in the permutation and K is the length of the sequence to be checked.

The second line contains N space-separated integers representing the permutation of the first N natural numbers.

outputFormat

Output a single line containing Good Harmony if the first K numbers are in strictly increasing order, otherwise output Discord.

## sample
5 3
1 2 3 5 4
Good Harmony

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