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English Version

题目描述

给定一副牌,每张牌上都写着一个整数。

此时,你需要选定一个数字 X,使我们可以将整副牌按下述规则分成 1 组或更多组:

  • 每组都有 X 张牌。
  • 组内所有的牌上都写着相同的整数。

仅当你可选的 X >= 2 时返回 true

 

示例 1:

输入:deck = [1,2,3,4,4,3,2,1]
输出:true
解释:可行的分组是 [1,1],[2,2],[3,3],[4,4]

示例 2:

输入:deck = [1,1,1,2,2,2,3,3]
输出:false
解释:没有满足要求的分组。


提示:

  • 1 <= deck.length <= 104
  • 0 <= deck[i] < 104

解法

Python3

class Solution:
    def hasGroupsSizeX(self, deck: List[int]) -> bool:
        vals = Counter(deck).values()
        return reduce(gcd, vals) >= 2

Java

class Solution {
    public boolean hasGroupsSizeX(int[] deck) {
        int[] counter = new int[10000];
        for (int d : deck) {
            ++counter[d];
        }
        int g = -1;
        for (int v : counter) {
            if (v > 0) {
                g = g == -1 ? v : gcd(g, v);
            }
        }
        return g >= 2;
    }

    private int gcd(int a, int b) {
        return b == 0 ? a : gcd(b, a % b);
    }
}

C++

class Solution {
public:
    bool hasGroupsSizeX(vector<int>& deck) {
        vector<int> counter(10000);
        for (int& d : deck) ++counter[d];
        int g = -1;
        for (int& v : counter)
            if (v > 0)
                g = g == -1 ? v : gcd(g, v);
        return g >= 2;
    }

    int gcd(int a, int b) {
        return b == 0 ? a : gcd(b, a % b);
    }
};

Go

func hasGroupsSizeX(deck []int) bool {
	counter := make([]int, 10000)
	for _, d := range deck {
		counter[d]++
	}
	var gcd func(a, b int) int
	gcd = func(a, b int) int {
		if b == 0 {
			return a
		}
		return gcd(b, a%b)
	}
	g := -1
	for _, v := range counter {
		if v > 0 {
			if g == -1 {
				g = v
			} else {
				g = gcd(g, v)
			}
		}
	}
	return g >= 2
}

...