数组的N折分区,每个分区中的总和相等

数组的N折分区,每个分区中的总和相等,第1张

数组的N折分区,每个分区中的总和相等

这是我自己的使用动态编程的Python解决方案。这里给出算法。

def get_subset(lst, s):    '''Given a list of integer `lst` and an integer s, returns    a subset of lst that sums to s, as well as lst minus that subset    '''    q = {}    for i in range(len(lst)):        for j in range(1, s+1): if lst[i] == j:     q[(i, j)] = (True, [j]) elif i >= 1 and q[(i-1, j)][0]:     q[(i, j)] = (True, q[(i-1, j)][1]) elif i >= 1 and j >= lst[i] and q[(i-1, j-lst[i])][0]:     q[(i, j)] = (True, q[(i-1, j-lst[i])][1] + [lst[i]]) else:     q[(i, j)] = (False, [])        if q[(i, s)][0]: for k in q[(i, s)][1]:     lst.remove(k) return q[(i, s)][1], lst    return None, lstdef get_n_subset(n, lst, s):    ''' Returns n subsets of lst, each of which sums to s'''    solutions = []    for i in range(n):        sol, lst = get_subset(lst, s)        solutions.append(sol)    return solutions, lst# print(get_n_subset(7, [1, 2, 3, 4, 5, 7, 8, 4, 1, 2, 3, 1, 1, 1, 2], 5))# [stdout]: ([[2, 3], [1, 4], [5], [4, 1], [2, 3], [1, 1, 1, 2], None], [7, 8])


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