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Problem

You are playing the Bulls and Cows game with your friend.

You write down a secret number and ask your friend to guess what the number is. When your friend makes a guess, you provide a hint with the following info:

  • The number of "bulls", which are digits in the guess that are in the correct position.
  • The number of "cows", which are digits in the guess that are in your secret number but are located in the wrong position. Specifically, the non-bull digits in the guess that could be rearranged such that they become bulls.

Given the secret number secret and your friend's guess guess, return the hint for your friend's guess.

The hint should be formatted as "xAyB", where x is the number of bulls and y is the number of cows. Note that both secret and guess may contain duplicate digits.

Example 1:

- Input: secret = "1807", guess = "7810"
- Output: "1A3B"
- Explanation: Bulls are connected with a '|' and cows are underlined:

"1807"
  |
"7810"

Example 2:

- Input: secret = "1123", guess = "0111"
- Output: "1A1B"
- Explanation: Bulls are connected with a '|' and cows are underlined:

"1123"        "1123"
  |      or     |
"0111"        "0111"

Note that only one of the two unmatched 1s is counted as a cow since the non-bull digits can only be rearranged to allow one 1 to be a bull.

Constraints:

  • 1 <= secret.length, guess.length <= 1000
  • secret.length == guess.length
  • secret and guess consist of digits only.

Approach 1: Array

Algorithm

  • secretguess 在相同位置上的數字相同則算一個 bulls
  • secretguess 在相同位置上的數字不同, 但在不同位置上有相同數字, 則算一個 cows

此題使用 array 的方式紀錄每個 char 出現頻率, 排除相同位置相同 char, 再判斷是否有相同數字即可

Implementation

func getHint(secret string, guess string) string {
	a, b, l := 0, 0, len(secret)
	sFreq := [10]int{}
	gFreq := [10]int{}

	for i := 0; i < l; i++ {
		if secret[i] == guess[i] {
			a++
		} else {
			sFreq[secret[i]-'0']++
			gFreq[guess[i]-'0']++
		}
	}
	for i := 0; i < 10; i++ {
		if sFreq[i] > 0 && gFreq[i] > 0 {
			b += min(sFreq[i], gFreq[i])
		}
	}

	return fmt.Sprintf("%dA%dB", a, b)
}

func min(x, y int) int {
	if x < y {
		return x
	}
	return y
}

Complexity Analysis

  • Time complexity: O(n)

    • Where n is the length of given string.
    • Runtime: 0 ms, faster than 100.00% of Go online submissions for Bulls and Cows.
  • Space complexity: O(1)

    • Only constant space is used.
    • Memory Usage: 2.1 MB, less than 100.00% of Go online submissions for Bulls and Cows.