Bear and Different Names

1000ms

262144K

Description:

In the army, it isn't easy to form a group of soldiers that will be effective on the battlefield. The communication is crucial and thus no two soldiers should share a name (what would happen if they got an order that Bob is a scouter, if there are two Bobs?).

A group of soldiers is effective if and only if their names are different. For example, a group (John, Bob, Limak) would be effective, while groups (Gary, Bob, Gary) and (Alice, Alice) wouldn't.

You are a spy in the enemy's camp. You noticed n soldiers standing in a row, numbered 1 through n. The general wants to choose a group of k consecutive soldiers. For every k consecutive soldiers, the general wrote down whether they would be an effective group or not.

You managed to steal the general's notes, with n - k + 1 strings s₁, s₂, ..., s_{n - k + 1}, each either "YES" or "NO".

The string s₁ describes a group of soldiers 1 through k ("YES" if the group is effective, and "NO" otherwise).
The string s₂ describes a group of soldiers 2 through k + 1.
And so on, till the string s_{n - k + 1} that describes a group of soldiers n - k + 1 through n.

Your task is to find possible names of n soldiers. Names should match the stolen notes. Each name should be a string that consists of between 1 and 10 English letters, inclusive. The first letter should be uppercase, and all other letters should be lowercase. Names don't have to be existing names — it's allowed to print "Xyzzzdj" or "T" for example.

Find and print any solution. It can be proved that there always exists at least one solution.

Input:

The first line of the input contains two integers n and k (2 ≤ k ≤ n ≤ 50) — the number of soldiers and the size of a group respectively.

The second line contains n - k + 1 strings s₁, s₂, ..., s_{n - k + 1}. The string s_i is "YES" if the group of soldiers i through i + k - 1 is effective, and "NO" otherwise.

Output:

Find any solution satisfying all given conditions. In one line print n space-separated strings, denoting possible names of soldiers in the order. The first letter of each name should be uppercase, while the other letters should be lowercase. Each name should contain English letters only and has length from 1 to 10.

If there are multiple valid solutions, print any of them.

Sample Input:

8 3
NO NO YES YES YES NO

Sample Output:

Adam Bob Bob Cpqepqwer Limak Adam Bob Adam

Sample Input:

9 8
YES NO

Sample Output:

R Q Ccccccccc Ccocc Ccc So Strong Samples Ccc

Sample Input:

3 2
NO NO

Sample Output:

Na Na Na

Note:

In the first sample, there are 8 soldiers. For every 3 consecutive ones we know whether they would be an effective group. Let's analyze the provided sample output:

First three soldiers (i.e. Adam, Bob, Bob) wouldn't be an effective group because there are two Bobs. Indeed, the string s₁ is "NO".
Soldiers 2 through 4 (Bob, Bob, Cpqepqwer) wouldn't be effective either, and the string s₂ is "NO".
Soldiers 3 through 5 (Bob, Cpqepqwer, Limak) would be effective, and the string s₃ is "YES".
...,
Soldiers 6 through 8 (Adam, Bob, Adam) wouldn't be effective, and the string s₆ is "NO".

Informação

Provedor Codeforces

Código CF771B