Isabelle
JEN-LI CHEN IN DATA SCIENCE
2 min readNov 26, 2020

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Leetcode Algorithm

Count and Say

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

Hide Hint #1

The following are the terms from n=1 to n=10 of the count-and-say sequence:

1.     1
2. 11
3. 21
4. 1211
5. 111221
6. 312211
7. 13112221
8. 1113213211
9. 31131211131221
10. 13211311123113112211

Hide Hint #2

To generate the nth term, just count and say the n-1th term.

Solution:

/**
* @param {number} n
* @return {string}
*/
var countAndSay = function(n){
let finalString = '1';

if (n == 1){
return finalString;
}
let characterPointer = 0;
let countPointer = 0;
let stringInProgress = '';

while (n > 1){
while (countPointer < finalString.length){
while(finalString.charAt(characterPointer)===finalString.charAt(countPointer)){
countPointer ++;
}

stringInProgress += (countPointer - characterPointer).toString();
stringInProgress += finalString.charAt(characterPointer);
characterPointer = countPointer;
}
finalString = stringInProgress;
stringInProgress = '';
n --;
characterPointer = 0;
countPointer = 0;
}
return finalString;
};

Link

Reference

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