53 | | |
54 | | Certainly! Let's break down the task with an example: |
55 | | |
56 | | ### Given: |
57 | | - You have a list of lists. |
58 | | - You want to split each sublist at the point where the sublist starts with a given symbol. |
59 | | |
60 | | ### Example: |
61 | | |
62 | | #### Input: |
63 | | ```python |
64 | | list_of_lists = [ |
65 | | ['a', 1, 2, 3], |
66 | | ['b', 4, 5, 6], |
67 | | ['*', 7, 8, 9], |
68 | | ['c', 10, 11], |
69 | | ['*', 12, 13], |
70 | | ['d', 14, 15, 16] |
71 | | ] |
72 | | symbol = '*' |
73 | | ``` |
74 | | |
75 | | #### Expected Output: |
76 | | ```python |
77 | | [ |
78 | | [['a', 1, 2, 3], ['b', 4, 5, 6]], |
79 | | [['*', 7, 8, 9], ['c', 10, 11]], |
80 | | [['*', 12, 13], ['d', 14, 15, 16]] |
81 | | ] |
82 | | ``` |
83 | | |
84 | | ### Steps: |
85 | | |
86 | | 1. **Initialize an empty result list**: This will hold the final split sublists. |
87 | | 2. **Iterate through each sublist**: Check if the first element of the sublist is the given symbol. |
88 | | 3. **When the symbol is found**: Start a new group in the result list. |
89 | | 4. **Continue grouping until the symbol is encountered again**. |
90 | | |
91 | | ### Python Code Implementation: |
92 | | |
93 | | ```python |
94 | | def split_list_of_lists(list_of_lists, symbol): |
95 | | result = [] |
96 | | current_group = [] |
97 | | |
98 | | for sublist in list_of_lists: |
99 | | if sublist[0] == symbol and current_group: |
100 | | result.append(current_group) |
101 | | current_group = [] |
102 | | current_group.append(sublist) |
103 | | |
104 | | if current_group: |
105 | | result.append(current_group) |
106 | | |
107 | | return result |
108 | | |
109 | | # Example usage |
110 | | list_of_lists = [ |
111 | | ['a', 1, 2, 3], |
112 | | ['b', 4, 5, 6], |
113 | | ['*', 7, 8, 9], |
114 | | ['c', 10, 11], |
115 | | ['*', 12, 13], |
116 | | ['d', 14, 15, 16] |
117 | | ] |
118 | | symbol = '*' |
119 | | output = split_list_of_lists(list_of_lists, symbol) |
120 | | print(output) |
121 | | ``` |
122 | | |
123 | | ### Output: |
124 | | ```python |
125 | | [ |
126 | | [['a', 1, 2, 3], ['b', 4, 5, 6]], |
127 | | [['*', 7, 8, 9], ['c', 10, 11]], |
128 | | [['*', 12, 13], ['d', 14, 15, 16]] |
129 | | ] |
130 | | ``` |
131 | | |
132 | | This code takes a list of lists and splits it into separate groups whenever a sublist starts with the specified symbol. Each group is then added to the result. The result is a list of these grouped sublists. |
133 | | |
134 | | To solve this problem in Scheme recursively, let's define a recursive function that will process the list of lists and split them into groups whenever a sublist starts with the specified symbol. |
135 | | |
136 | | ### Steps: |
137 | | |
138 | | 1. **Base Case**: If the list of lists is empty, return an empty list. |
139 | | 2. **Recursive Case**: |
140 | | - If the first sublist starts with the given symbol and the current group is not empty, start a new group. |
141 | | - Otherwise, continue adding sublists to the current group. |
142 | | |
143 | | ### Scheme Implementation: |
144 | | |
145 | | Here’s how you can implement this in Scheme: |
146 | | |
147 | | ```scheme |
148 | | (define (split-list-of-lists list-of-lists symbol) |
149 | | (define (split-helper lists current-group result) |
150 | | (cond |
151 | | ((null? lists) |
152 | | (if (null? current-group) |
153 | | result |
154 | | (append result (list current-group)))) |
155 | | ((equal? (caar lists) symbol) |
156 | | (if (null? current-group) |
157 | | (split-helper (cdr lists) (list (car lists)) result) |
158 | | (split-helper (cdr lists) (list (car lists)) (append result (list current-group))))) |
159 | | (else |
160 | | (split-helper (cdr lists) (append current-group (list (car lists))) result)))) |
161 | | (split-helper list-of-lists '() '())) |
162 | | |
163 | | ;; Example usage: |
164 | | (define list-of-lists |
165 | | '((a 1 2 3) |
166 | | (b 4 5 6) |
167 | | (* 7 8 9) |
168 | | (c 10 11) |
169 | | (* 12 13) |
170 | | (d 14 15 16))) |
171 | | |
172 | | (define symbol '*) |
173 | | |
174 | | (split-list-of-lists list-of-lists symbol) |
175 | | ``` |
176 | | |
177 | | ### Explanation: |
178 | | |
179 | | 1. **`split-list-of-lists`**: The main function that initializes the recursive process with an empty `current-group` and `result`. |
180 | | |
181 | | 2. **`split-helper`**: |
182 | | - **Base Case**: When `lists` is empty, if `current-group` is also empty, return the `result`. Otherwise, append the `current-group` to the `result`. |
183 | | - **When symbol is encountered**: If the current group is not empty, append it to the result and start a new group. If the current group is empty, simply start a new group with the current sublist. |
184 | | - **Else case**: Append the current sublist to the `current-group` and continue the recursion. |
185 | | |
186 | | ### Example Output: |
187 | | Running the above code with the example `list-of-lists` and `symbol`, you should get: |
188 | | |
189 | | ```scheme |
190 | | '(((a 1 2 3) (b 4 5 6)) |
191 | | ((* 7 8 9) (c 10 11)) |
192 | | ((* 12 13) (d 14 15 16))) |
193 | | ``` |
194 | | |
195 | | This Scheme code recursively processes the list of lists and splits them into groups based on the given symbol. |
196 | | |