1655. Distribute Repeating Integers

Updated: 2024-03-12
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LeetCode problem 1655

class Solution:
    def canDistribute(self, nums: List[int], quantity: List[int]) -> bool:
        m = len(quantity)
        s = [0] * (1 << m)
        for i in range(1, 1 << m):
            for j in range(m):
                if i >> j & 1:
                    s[i] = s[i ^ (1 << j)] + quantity[j]
                    break
        cnt = Counter(nums)
        arr = list(cnt.values())
        n = len(arr)
        f = [[False] * (1 << m) for _ in range(n)]
        for i in range(n):
            f[i][0] = True
        for i, x in enumerate(arr):
            for j in range(1, 1 << m):
                if i and f[i - 1][j]:
                    f[i][j] = True
                    continue
                k = j
                while k:
                    ok1 = j == k if i == 0 else f[i - 1][j ^ k]
                    ok2 = s[k] <= x
                    if ok1 and ok2:
                        f[i][j] = True
                        break
                    k = (k - 1) & j
        return f[-1][-1]