Skip to main content

Count and Say

Problem

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

/**
* @param {number} n
* @return {string}
*/
var countAndSay = function(n) {
let s = "1";
for (let i = 1; i < n; ++i) {
let digit = s[0];
let count = 1;
let output = "";
for (let j = 1; j < s.length; ++j) {
if (s[j] !== digit) {
output += count.toString() + digit;
count = 1;
digit = s[j];
} else {
count++;
}
}
output += count.toString() + digit;
s = output;
}
return s;
};

Keep on calculating the next string in the sequence until reaching the nth iteration.