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 timeand the following steps are taken:
- If the character read is a letter, that letter is written onto the tape.
- If the character read is a digit (say d), the entire current tape is repeatedly writtend-1more times in total.
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:
- 2 <= S.length <= 100
- Swill only contain lowercase letters and digits 2 through 9.
- Sstarts with a letter.
- 1 <= K <= 10^9
- The decoded string is guaranteed to have less than 2^63 letters.
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