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< p > Given an integer array < code > nums< / code > and an integer < code > k< / code > , return < code > true< / code > if it is possible to divide this array into < code > k< / code > non-empty subsets whose sums are all equal.< / p >
< p > < / p >
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< p > < strong class = "example" > Example 1:< / strong > < / p >
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< pre >
< strong > Input:< / strong > nums = [4,3,2,3,5,2,1], k = 4
< strong > Output:< / strong > true
< strong > Explanation:< / strong > It is possible to divide it into 4 subsets (5), (1, 4), (2,3), (2,3) with equal sums.
< / pre >
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< p > < strong class = "example" > Example 2:< / strong > < / p >
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< pre >
< strong > Input:< / strong > nums = [1,2,3,4], k = 3
< strong > Output:< / strong > false
< / pre >
< p > < / p >
< p > < strong > Constraints:< / strong > < / p >
< ul >
< li > < code > 1 < = k < = nums.length < = 16< / code > < / li >
< li > < code > 1 < = nums[i] < = 10< sup > 4< / sup > < / code > < / li >
< li > The frequency of each element is in the range < code > [1, 4]< / code > .< / li >
< / ul >