Formatted question description: https://leetcode.ca/all/914.html

# 914. X of a Kind in a Deck of Cards (Easy)

In a deck of cards, each card has an integer written on it.

Return true if and only if you can choose X >= 2 such that it is possible to split the entire deck into 1 or more groups of cards, where:

• Each group has exactly X cards.
• All the cards in each group have the same integer.

Example 1:

Input: [1,2,3,4,4,3,2,1]
Output: true
Explanation: Possible partition [1,1],[2,2],[3,3],[4,4]


Example 2:

Input: [1,1,1,2,2,2,3,3]
Output: false
Explanation: No possible partition.


Example 3:

Input: 
Output: false
Explanation: No possible partition.


Example 4:

Input: [1,1]
Output: true
Explanation: Possible partition [1,1]


Example 5:

Input: [1,1,2,2,2,2]
Output: true
Explanation: Possible partition [1,1],[2,2],[2,2]


Note:

1. 1 <= deck.length <= 10000
2. 0 <= deck[i] < 10000

Companies:

Related Topics:
Array, Math

## Solution 1.

// OJ: https://leetcode.com/problems/x-of-a-kind-in-a-deck-of-cards/
// Time: O(N^2loglogN)
// Space: O(N)
class Solution {
public:
bool hasGroupsSizeX(vector<int>& deck) {
unordered_map<int, int> cnt;
for (int n : deck) cnt[n]++;
int minCnt = INT_MAX;
for (auto p : cnt) minCnt = min(minCnt, p.second);
if (minCnt == 1) return false;
for (int x = 2; x <= minCnt; ++x) {
bool found = true;
for (auto p : cnt) {
if (p.second % x) {
found = false;
break;
}
}
if (found) return true;
}
return false;
}
};


Java

• class Solution {
public boolean hasGroupsSizeX(int[] deck) {
Map<Integer, Integer> countMap = new HashMap<Integer, Integer>();
for (int num : deck) {
int count = countMap.getOrDefault(num, 0);
count++;
countMap.put(num, count);
}
int gcd = 0;
Set<Integer> keySet = countMap.keySet();
for (int num : keySet) {
int count = countMap.get(num);
gcd = gcd(gcd, count);
}
return gcd >= 2;
}

public int gcd(int num1, int num2) {
if (num1 == 0 && num2 == 0)
return 1;
while (num1 != 0 && num2 != 0) {
if (num1 > num2) {
int temp = num1;
num1 = num2;
num2 = temp;
}
num2 %= num1;
}
return num1 == 0 ? num2 : num1;
}
}

• // OJ: https://leetcode.com/problems/x-of-a-kind-in-a-deck-of-cards/
// Time: O(N^2loglogN)
// Space: O(N)
class Solution {
public:
bool hasGroupsSizeX(vector<int>& deck) {
unordered_map<int, int> cnt;
for (int n : deck) cnt[n]++;
int minCnt = INT_MAX;
for (auto p : cnt) minCnt = min(minCnt, p.second);
if (minCnt == 1) return false;
for (int x = 2; x <= minCnt; ++x) {
bool found = true;
for (auto p : cnt) {
if (p.second % x) {
found = false;
break;
}
}
if (found) return true;
}
return false;
}
};

• class Solution(object):
def hasGroupsSizeX(self, deck):
"""
:type deck: List[int]
:rtype: bool
"""
count = collections.Counter(deck)
X = min(count.values())
for x in range(2, X + 1):
if all(v % x == 0 for v in count.values()):
return True
return False