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排列组合

排列组合

作者: 垃圾桶边的狗 | 来源:发表于2022-09-09 01:41 被阅读0次

    需求

    1. n个10以内的数字[1,4,5,8...]
      2.生成2-10的种组合
      3.每个组合的和在8-20之间
      4.每个小组合元素重复率小于之前生成组合的50%
      5.每种大组合元素重复率小于之前生成2-10种组合的50%

    例子:

    组合顺序:[4, 6, 5, 3, 2]
    每种生成2组
    [
    [1, 2, 3, 22], [1, 4, 15, 23],
    [1, 2, 5, 23, 24, 25], [1, 6, 15, 21, 22, 23],
    [1, 3, 19, 21, 24],[1, 9, 19, 22, 25], 
    [1, 10, 11], [2, 4, 19], 
    [1, 7], [2, 6]
    ]
    

    code_v1 初版本

    import random
    from itertools import combinations
    from box import Box
    import toolz
    
    
    
    l = [5.78, 5.87, 6.74, 9.15, 5.31, 5.78, 14.17, 9.15, 7.23, 8.19, 5.97, 8.66, 11.54, 11.54, 3.86, 9.15, 7.7, 8.19, 3.78,
         9.11, 1.89, 1.13, 1, 1, 1]
    
    l1 = {1: 5.78, 2: 5.87, 3: 6.74, 4: 9.15, 5: 5.31, 6: 5.78, 7: 14.17, 8: 9.15, 9: 7.23, 10: 8.19, 11: 5.97, 12: 8.66,
          13: 11.54, 14: 11.54, 15: 3.86, 16: 9.15, 17: 7.7, 18: 8.19, 19: 3.78, 20: 9.11, 21: 1.89, 22: 1.13, 23: 1,
          24: 1, 25: 1}
    
    # l = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16]
    # l1 = {1: 1.78, 2: 1.87, 3: 1.74, 4: 1.15, 5: 1.31, 6: 1.78, 7: 1, 8: 1, 9: 1, 10: 1, 11: 1, 12: 1, 13: 1, 14: 1, 15: 1,
    #       16: 1}
    
    
    class A:
        filter_list = []
        data_set = None
        num = 0
    
    
    class Combination(A):
    
    
        def combination_sum3(self, k, gt, lt, tag):
            unique_set = set()
    
            candidates = range(1, len(l) + 1)
            target = lt
            # 结果列表
            ans = []
            ans1 = []
            # 可能组合
            tmp = []
            const = Box({4: {"var": 2, "length": 6},
                         3: {"var": 2, "length": 3},
                         2: {"var": 1, "length": 2},
                         5: {"var": 3, "length": 10},
                         6: {"var": 3, "length": 20},
                         7: {"var": 4, "length": 35},
                         8: {"var": 4, "length": 70},
                         9: {"var": 5, "length": 126},
                         10: {"var": 5, "length": 252},
                         })
            config = const[k]
            def back_dfs(idx, total):
                # 判断长度和值是否达到要求
                if total > gt and total < lt and len(tmp[::]) == k:  # and len(tmp[::])==k
    
                    combis = list(combinations(tmp[::], config.var))
    
                    if not unique_set:
    
                        if tag == 'one':
                            unique_set.update(set(combis))
                            ans.append(tmp[::])
                            self.filter_list.append(tmp[::])
                            ans1.append([l1[i] for i in tmp[::]])
                        else:
    
                            base_num = int(len(tmp) / 2 + 1)
    
                            # 对self.filter_list 排列组合
                            com_lists = [list(combinations(arr, base_num)) for arr in self.filter_list]
                            com_lists_flatten = list(toolz.concat(com_lists))
                            # 对tmp 排列组合
                            tmp_com = list(combinations(tmp, base_num))
                            # 全部是False 就添加
                            if True not in [i in com_lists_flatten for i in tmp_com]:
                                unique_set.update(set(combis))
    
                                ans.append(tmp[::])
                                self.filter_list.append(tmp[::])
                                # ans1.append([l1[i] for i in tmp[::]])
    
                    bools = [c in unique_set for c in combis]
                    false_len = len([b for b in bools if b == False])
                    if unique_set and tuple(tmp[:config.var]) not in unique_set and false_len == config.length:  # len(combis)
    
                        if len(ans) == 10:  # 限定取多少组
                            return ans
    
                        if tag == 'one':
                            unique_set.update(set(combis))
    
                            ans.append(tmp[::])
                            self.filter_list.append(tmp[::])
                            # ans1.append([l1[i] for i in tmp[::]])
                        else:
                            base_num = int(len(tmp) / 2 + 1)
    
    
                            # 对self.filter_list 排列组合
                            com_lists = [list(combinations(arr, base_num)) for arr in self.filter_list]
                            com_lists_flatten = list(toolz.concat(com_lists))
    
                            # 对tmp 排列组合
                            tmp_com = list(combinations(tmp, base_num))
                            # 全部是False 就添加
                            if True not in [i in com_lists_flatten for i in tmp_com]:
                                unique_set.update(set(combis))
    
                                ans.append(tmp[::])
                                self.filter_list.append(tmp[::])
                                # ans1.append([l1[i] for i in tmp[::]])
    
    
                        # return
                if total > target:
                    return
                # 打乱顺序
                # shuffle_seq = list(range(idx, len(candidates)))
                # random.shuffle(shuffle_seq)
                # for i in shuffle_seq:
                for i in range(idx, len(candidates)):
                    # 这里限制同一层不能选择值相同的元素
                    # 若有相同的元素,优先选择索引靠前的
                    if candidates[i - 1] == candidates[i] and i - 1 >= idx:
                        continue
    
                    total += l1[candidates[i]]
                    # total += candidates[i]
                    tmp.append(candidates[i])
                    # 从当前索引的下一位开始选取,避免重复选取同个元素
                    back_dfs(i + 1, total)
                    # 回溯
                    tmp.pop()
                    total -= l1[candidates[i]]
                    # total -= candidates[i]
            total = 0
            back_dfs(0, total)
            # print(ans1)
            return ans
    
    
    
    if __name__ == '__main__':
    
        ids = [4, 6, 5, 3, 2]
        first_num = ids.pop(0)
        c = Combination()
        c.combination_sum3(k=first_num, gt=8, lt=20, tag='one')
        # 如果第一位没有匹配到继续pop 0 知道filter_list为True
        while not c.filter_list:
            first_num = ids.pop(0)
            c = Combination()
            c.combination_sum3(k=first_num, gt=8, lt=20, tag='one')
    
    
    
        for i in ids:
            c.num = ids[0]
            com_array = c.combination_sum3(k=i, gt=8, lt=20, tag='any')
            print('------------------------', i)
            print(com_array)
        # for arr in com_array:
        #     print(arr)
        print([l1[i] for sub_arr in c.filter_list for i in sub_arr])
        print("每个sub_arr时长:",[sum(map(lambda x:l1[x], sub_arr)) for sub_arr in c.filter_list])
        print("len(c.filter_list)",len(c.filter_list),c.filter_list)
    
    
    

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