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Algorithm

38. Count and Say

Description

The count-and-say sequence is a sequence of digit strings defined by the recursive formula:

  • countAndSay(1) = "1"
  • countAndSay(n) is the way you would "say" the digit string from countAndSay(n-1), which is then converted into a different digit string.

To determine how you "say" a digit string, split it into the minimal number of groups so that each group is a contiguous section all of the same character. Then for each group, say the number of characters, then say the character. To convert the saying into a digit string, replace the counts with a number and concatenate every saying.

For example, the saying and conversion for digit string "3322251":

Given a positive integer n, return the nth term of the count-and-say sequence.

Example 1:

Input: n = 1
Output: "1"
Explanation: This is the base case.

Example 2:

Input: n = 4
Output: "1211"
Explanation:
countAndSay(1) = "1"
countAndSay(2) = say "1" = one 1 = "11"
countAndSay(3) = say "11" = two 1's = "21"
countAndSay(4) = say "21" = one 2 + one 1 = "12" + "11" = "1211"

Constraints:

  • 1 <= n <= 30

Solution

class Solution {
    public String countAndSay(int n) {
        String res = "1";
        for(int i=1;i<n;i++){
            char[] c = res.toCharArray();
            res="";
            int count = 1;
            for(int j=0;j<c.length-1;j++){
                if(c[j]==c[j+1]){
                   count++;
                }else{
                   res+=(""+count+c[j]);
                   count=1;
                }
            }
            res+=(""+count+c[c.length-1]);
        }
        return res;
    }
}

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