Step 1: Calculate Character Frequency
Character |
Frequency |
a |
2 |
b |
1 |
We start by counting how many times each character appears in the string "aab".
Character 'a' appears twice and character 'b' appears once.
Step 2: Sort by Frequency
Character |
Frequency |
a |
2 |
b |
1 |
We arrange the characters in decreasing order of frequency.
Since 'a' has a higher frequency (2) than 'b' (1), we'll place 'a' first.
Step 3: Place Most Frequent Character First
We start by placing the most frequent character ('a') in the first position.
We still have one more 'a' and one 'b' to place.
Step 4: Place Next Character
To avoid placing the same character adjacent to each other, we place the next available character ('b') in the second position.
Step 5: Complete the Arrangement
Finally, we place the remaining 'a' in the third position.
This gives us the string "aba" where no two identical characters are adjacent.
Final Result
Original: "aab"
Rearranged: "aba"
We have successfully rearranged the original string "aab" to "aba" using the character placement strategy.
Notice that in the final string, no two identical characters are adjacent to each other.