Algorithm


Problem Name: 38. 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 substrings such that each substring contains exactly one unique digit. Then for each substring, say the number of digits, then say the digit. Finally, concatenate every said digit.

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
 

Code Examples

#1 Code Example with C Programming

Code - C Programming


char* countAndSay(int n) {
    char *s, *d, *x;
    int i, c;
 
    if (!n) return NULL;

#define BUF_SIZE 100 * 1024

    s = malloc(BUF_SIZE);
    x = d = malloc(BUF_SIZE);
    s[0] = '1';
    s[1] = 0;

    while (n > 1) {
        c = 1;
        for (i = 0; s[i]; i ++) {
            if (s[i] != s[i+1]) {
                sprintf(x, "%d%c", c, s[i]);
                x += strlen(x);
                c = 1;
            } else {
                c ++;
            }
        }
        x = s;
        s = d;
        d = x;
        n --;
}

    free(d);
    return s;
}
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Input

x
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n = 1

Output

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"1"

#2 Code Example with C++ Programming

Code - C++ Programming


class Solution {
public:
    string countAndSay(int n) {
        if(n == 1) return "1";
        string s = countAndSay(n - 1);
        string res = "";
        for(int i = 0; i < s.size(); i++){
            int count = 1;
            while(i  <  s.size() - 1 && s[i] == s[i + 1]) i++, count++;
            res.append(to_string(count) + s[i]>;
        }
        return res;
    }
};

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Input

x
+
cmd
n = 4

Output

x
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"1211"

#3 Code Example with Java Programming

Code - Java Programming


class Solution {
  public String countAndSay(int n) {
    String s = "1";
    for (int i = 1; i  <  n; i++) {
      StringBuilder sb = new StringBuilder();
      for (int j = 1, count = 1; j  < = s.length(); j++) {
        if (j == s.length() || s.charAt(j - 1) != s.charAt(j)) {
          sb.append(count);
          sb.append(s.charAt(j - 1));
          count = 1;
        } else {
          count++;
        }
      }
      s = sb.toString();
    }
    return s;
  }
}
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Input

x
+
cmd
n = 1

Output

x
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cmd
"1"

#4 Code Example with Javascript Programming

Code - Javascript Programming


const countAndSay = function(n) {
  let str = '1'
  for (let i = 2; i  < = n; i++) {
    let tempStr = ''
    let count = 0
    for (let j = 0, m = str.length; j  <  m; j++) {
      const char = str.charAt(j)
      count += 1
      if (char !== str.charAt(j + 1)) {
        tempStr += count + char
        count = 0
      }
    }
    str = tempStr
  }
  return str
}
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Input

x
+
cmd
n = 4

Output

x
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cmd
"1211"

#5 Code Example with Python Programming

Code - Python Programming


class Solution:
    def countAndSay(self, n):
        curr = "1"
        for i in range(n - 1):
            tmp, cnt = "", 1
            for j, c in enumerate(curr):
                if j > 0 and curr[j - 1] == c: 
                    cnt += 1
                elif j > 0: 
                    tmp += str(cnt) + curr[j - 1]
                    cnt = 1
                if j == len(curr) - 1: 
                    tmp += str(cnt) + curr[j] 
            curr = tmp
        return curr
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Input

x
+
cmd
n = 1

Output

x
+
cmd
"1"

#6 Code Example with C# Programming

Code - C# Programming


using System.Text;

namespace LeetCode
{
    public class _038_CountAndSay
    {
        public string CountAndSay(int n)
        {
            var result = "1";
            char currentCh;
            int i, j, startNum;
            var builder = new StringBuilder();

            for (i = 1; i  <  n; i++)
            {
                currentCh = result[0];
                startNum = 0;
                for (j = 1; j  <  result.Length; j++)
                {
                    if (currentCh != result[j])
                    {
                        builder.Append(j - startNum);
                        builder.Append(currentCh);
                        currentCh = result[j];
                        startNum = j;
                    }
                }
                builder.Append(j - startNum);
                builder.Append(currentCh);

                result = builder.ToString();
                builder.Clear();
            }

            return result;
        }
    }
}
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Input

x
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cmd
n = 4

Output

x
+
cmd
"1211"
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