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中文文档

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

Solutions

Python3

class Solution:
    def countAndSay(self, n: int) -> str:
        s = '1'
        for _ in range(n - 1):
            i = 0
            t = []
            while i < len(s):
                j = i
                while j < len(s) and s[j] == s[i]:
                    j += 1
                t.append(str(j - i))
                t.append(str(s[i]))
                i = j
            s = ''.join(t)
        return s

Java

class Solution {
    public String countAndSay(int n) {
        String s = "1";
        while (--n > 0) {
            StringBuilder t = new StringBuilder();
            for (int i = 0; i < s.length();) {
                int j = i;
                while (j < s.length() && s.charAt(j) == s.charAt(i)) {
                    ++j;
                }
                t.append((j - i) + "");
                t.append(s.charAt(i));
                i = j;
            }
            s = t.toString();
        }
        return s;
    }
}

C++

class Solution {
public:
    string countAndSay(int n) {
        string s = "1";
        while (--n)
        {
            string t = "";
            for (int i = 0; i < s.size();)
            {
                int j = i;
                while (j < s.size() && s[j] == s[i]) ++j;
                t += to_string(j - i);
                t += s[i];
                i = j;
            }
            s = t;
        }
        return s;
    }
};

Go

func countAndSay(n int) string {
	s := "1"
	for k := 0; k < n-1; k++ {
		t := &strings.Builder{}
		i := 0
		for i < len(s) {
			j := i
			for j < len(s) && s[j] == s[i] {
				j++
			}
			t.WriteString(strconv.Itoa(j - i))
			t.WriteByte(s[i])
			i = j
		}
		s = t.String()
	}
	return s
}

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