An encoded string S
is given. To find and write the decoded string to a tape, the encoded string is read one character at a time and the following steps are taken:
<li>If the character read is a letter, that letter is written onto the tape.</li>
<li>If the character read is a digit (say <code>d</code>), the entire current tape is repeatedly written <code>d-1</code> more times in total.</li>
Now for some encoded string S
, and an index K
, find and return the K
-th letter (1 indexed) in the decoded string.
Example 1:
Input: S = "leet2code3", K = 10 Output: "o" Explanation: The decoded string is "leetleetcodeleetleetcodeleetleetcode". The 10th letter in the string is "o".
Example 2:
Input: S = "ha22", K = 5 Output: "h" Explanation: The decoded string is "hahahaha". The 5th letter is "h".
Example 3:
Input: S = "a2345678999999999999999", K = 1 Output: "a" Explanation: The decoded string is "a" repeated 8301530446056247680 times. The 1st letter is "a".
Note:
<li><code>2 <= S.length <= 100</code></li>
<li><code>S</code> will only contain lowercase letters and digits <code>2</code> through <code>9</code>.</li>
<li><code>S</code> starts with a letter.</li>
<li><code>1 <= K <= 10^9</code></li>
<li>The decoded string is guaranteed to have less than <code>2^63</code> letters.</li>