| 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 | | |