/**
 * 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:
 * 
 * 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 written d-1 more 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
 * S will only contain lowercase letters and digits 2 through 9.
 * S starts with a letter.
 * 1 <= K <= 10^9
 * The decoded string is guaranteed to have less than 2^63 letters.
 */

public class DecodedStringAtIndex884 {
    public String decodeAtIndex(String S, int K) {
        char[] chars = S.toCharArray();
        int N = chars.length;
        long[] lens = new long[N];
        long len = 0;
        for (int i=0; i<N; i++) {
            char c = chars[i];
            if (c >= 'a' && c <= 'z') {
                len++;
            } else {
                int re = Character.getNumericValue(c);
                len *= re;
            }
            lens[i] = len;
        }

        for (int i=N-1; i>=0; i--) {
            char c = chars[i];
            if (c >= 'a' && c <= 'z') {
                if (lens[i] == K) return Character.toString(c);
            } else {
                K %= lens[i-1];
                if (K == 0) {
                    int j = i-1;
                    while (!(chars[j] >= 'a' && chars[j] <= 'z')) {
                        j--;
                    }
                    return Character.toString(chars[j]);
                }
            }
        }

        return Character.toString(chars[0]);
    }

}