|
| 1 | +""" |
| 2 | +Python version 3.7.0 |
| 3 | +2.6 - Palindrome |
| 4 | +Implement a function to check if a linked list |
| 5 | +is a palindrome. |
| 6 | +
|
| 7 | +""" |
| 8 | +import unittest |
| 9 | + |
| 10 | + |
| 11 | +class Node: |
| 12 | + def __init__(self, d: int): |
| 13 | + self.data = d |
| 14 | + self.next = None |
| 15 | + |
| 16 | + def __repr__(self): |
| 17 | + return self.__str__() |
| 18 | + |
| 19 | + def __str__(self): |
| 20 | + return '<Node Value: {}>'.format(self.data) |
| 21 | + |
| 22 | + def __eq__(self, other: object): |
| 23 | + if not isinstance(other, Node): |
| 24 | + return NotImplemented |
| 25 | + return self.data == other.data |
| 26 | + |
| 27 | + |
| 28 | +class LinkedList: |
| 29 | + def __init__(self, *numbers: int): |
| 30 | + self.head = None |
| 31 | + self.tail = None |
| 32 | + self.size = 0 |
| 33 | + for num in numbers: |
| 34 | + self.append_to_tail(num) |
| 35 | + |
| 36 | + def append_to_tail(self, e) -> None: |
| 37 | + if isinstance(e, int): |
| 38 | + self._append_num(e) |
| 39 | + elif isinstance(e, Node): |
| 40 | + self._append_node(e) |
| 41 | + |
| 42 | + def _append_num(self, d: int) -> None: |
| 43 | + if self.head is None: |
| 44 | + self.head = Node(d) |
| 45 | + self.tail = self.head |
| 46 | + else: |
| 47 | + end = Node(d) |
| 48 | + self.tail.next = end |
| 49 | + self.tail = end |
| 50 | + self.size += 1 |
| 51 | + |
| 52 | + def _append_node(self, n: Node) -> None: |
| 53 | + if self.head is None: |
| 54 | + self.head = n |
| 55 | + self.tail = self.head |
| 56 | + else: |
| 57 | + end = n |
| 58 | + self.tail.next = end |
| 59 | + self.tail = end |
| 60 | + self.size += 1 |
| 61 | + |
| 62 | + def append_to_head(self, d: int) -> None: |
| 63 | + new_head = Node(d) |
| 64 | + new_head.next = self.head |
| 65 | + if self.head is None: |
| 66 | + # if list is empty and we add |
| 67 | + # out first element, head AND tail |
| 68 | + # must point to same node |
| 69 | + self.tail = new_head |
| 70 | + self.head = new_head |
| 71 | + self.size += 1 |
| 72 | + |
| 73 | + def get_node_at(self, index: int) -> Node: |
| 74 | + if index < 0 or index >= self.size: |
| 75 | + raise IndexError('list index out of range') |
| 76 | + n = self.head |
| 77 | + for i in range(self.size): |
| 78 | + if i == index: |
| 79 | + return n |
| 80 | + n = n.next |
| 81 | + |
| 82 | + def get_value_at(self, index: int) -> int: |
| 83 | + if index < 0 or index >= self.size: |
| 84 | + raise IndexError('list index out of range') |
| 85 | + n = self.head |
| 86 | + for i in range(self.size): |
| 87 | + if i == index: |
| 88 | + return n.data |
| 89 | + n = n.next |
| 90 | + |
| 91 | + def pop_head(self) -> Node: |
| 92 | + if self.head is None: |
| 93 | + raise IndexError('no head to pop') |
| 94 | + h = self.head |
| 95 | + h.next = None |
| 96 | + self.head = self.head.next |
| 97 | + self.size -= 1 |
| 98 | + return h |
| 99 | + |
| 100 | + def append(self, ll: 'LinkedList') -> None: |
| 101 | + self.tail.next = ll.head |
| 102 | + self.size += ll.size |
| 103 | + ll.head = None |
| 104 | + ll.size = 0 |
| 105 | + |
| 106 | + def reverse(self) -> None: |
| 107 | + """ |
| 108 | + Reverses this linked list in place |
| 109 | + :return: |
| 110 | + """ |
| 111 | + if self.head is None: |
| 112 | + return |
| 113 | + prev = self.head |
| 114 | + self.tail = prev |
| 115 | + curr = prev.next |
| 116 | + self.tail.next = None |
| 117 | + while curr is not None: |
| 118 | + old_next = curr.next |
| 119 | + curr.next = prev |
| 120 | + prev = curr |
| 121 | + curr = old_next |
| 122 | + self.head = prev |
| 123 | + |
| 124 | + def __repr__(self): |
| 125 | + return self.__str__() |
| 126 | + |
| 127 | + def __str__(self): |
| 128 | + if self.head is None: |
| 129 | + return '<empty>' |
| 130 | + ll = [] |
| 131 | + n = self.head |
| 132 | + while n.next is not None: |
| 133 | + ll.append('{} -> '.format(n.data)) |
| 134 | + n = n.next |
| 135 | + ll.append(str(n.data)) |
| 136 | + return ''.join(ll) |
| 137 | + |
| 138 | + def __eq__(self, other: object): |
| 139 | + if not isinstance(other, LinkedList): |
| 140 | + return NotImplemented |
| 141 | + a = self.head |
| 142 | + b = other.head |
| 143 | + while a is not None and b is not None: |
| 144 | + if a.data != b.data: |
| 145 | + return False |
| 146 | + # otherwise, advance both pointers |
| 147 | + a = a.next |
| 148 | + b = b.next |
| 149 | + return a is None and b is None |
| 150 | + |
| 151 | + |
| 152 | +def reverse_linked_list(ll: LinkedList) -> LinkedList: |
| 153 | + """ |
| 154 | + Takes in a linked list and returns a reversed copy |
| 155 | + :param ll: input linked list |
| 156 | + :return: reversed linked list |
| 157 | + """ |
| 158 | + output_ll = LinkedList() |
| 159 | + n = ll.head |
| 160 | + while n is not None: |
| 161 | + output_ll.append_to_head(n.data) |
| 162 | + n = n.next |
| 163 | + return output_ll |
| 164 | + |
| 165 | + |
| 166 | +def is_palindrome_constant_space(ll: LinkedList) -> bool: |
| 167 | + """ |
| 168 | + Same as the palindrome function below, but |
| 169 | + with constant space |
| 170 | + Runtime: O(n) |
| 171 | + Space Complexity: O(1) |
| 172 | + :param ll: an input linked list |
| 173 | + :return: true if ll is a palindrome, false otherwise |
| 174 | + """ |
| 175 | + # reverse half of the linked list |
| 176 | + temp_ll1 = LinkedList() |
| 177 | + temp_ll2 = LinkedList() |
| 178 | + n = ll.head |
| 179 | + for _ in range((ll.size + 1) // 2): |
| 180 | + temp_ll1.append_to_tail(n) # first half |
| 181 | + n = n.next |
| 182 | + while n is not None: |
| 183 | + temp_ll2.append_to_tail(n) # second half |
| 184 | + n = n.next |
| 185 | + # reverse second half |
| 186 | + temp_ll2.reverse() |
| 187 | + # compare temp_ll1 and temp_ll2 |
| 188 | + n1 = temp_ll1.head |
| 189 | + n2 = temp_ll2.head |
| 190 | + for _ in range(temp_ll2.size): |
| 191 | + if n1.data != n2.data: |
| 192 | + temp_ll2.reverse() |
| 193 | + return False |
| 194 | + n1 = n1.next |
| 195 | + n2 = n2.next |
| 196 | + temp_ll2.reverse() |
| 197 | + return True |
| 198 | + |
| 199 | + |
| 200 | +def is_palindrome(ll: LinkedList) -> bool: |
| 201 | + """ |
| 202 | + Given a linked list, this function will check if the |
| 203 | + linked list is a palindrome. |
| 204 | + A palindrome is a word or phrase that is the same |
| 205 | + forwards and backwards. |
| 206 | + Since I will use integer nodes for the linked list, |
| 207 | + we will be checking if the sequence of numbers |
| 208 | + in a linked list is a palindrome. |
| 209 | + Runtime: O(n) |
| 210 | + Space Complexity: O(n) |
| 211 | + :param ll: an input linked list |
| 212 | + :return: true if ll is a palindrome, false otherwise |
| 213 | + """ |
| 214 | + return ll == reverse_linked_list(ll) |
| 215 | + |
| 216 | + |
| 217 | +class TestIsPalindrome(unittest.TestCase): |
| 218 | + |
| 219 | + def setUp(self): |
| 220 | + self.test_cases = [ |
| 221 | + ( |
| 222 | + LinkedList(1, 2, 3, 4, 3, 2, 1), |
| 223 | + True |
| 224 | + ), |
| 225 | + ( |
| 226 | + LinkedList(1, 2, 3, 2, 1), |
| 227 | + True |
| 228 | + ), |
| 229 | + ( |
| 230 | + LinkedList(1, 2, 3, 4, 2, 1), |
| 231 | + False |
| 232 | + ), |
| 233 | + ( |
| 234 | + LinkedList(4, 5, 6, 7, 8, 9), |
| 235 | + False |
| 236 | + ), |
| 237 | + ( |
| 238 | + LinkedList(99, 0), |
| 239 | + False |
| 240 | + ), |
| 241 | + ( |
| 242 | + LinkedList(100, 100), |
| 243 | + True |
| 244 | + ), |
| 245 | + ( |
| 246 | + LinkedList(7), |
| 247 | + True |
| 248 | + ), |
| 249 | + ( |
| 250 | + LinkedList(), |
| 251 | + True |
| 252 | + ) |
| 253 | + ] |
| 254 | + |
| 255 | + def test_is_palindrome(self): |
| 256 | + for ll, expected in self.test_cases: |
| 257 | + self.assertEqual(is_palindrome(ll), expected, msg=ll) |
| 258 | + |
| 259 | + def test_is_palindrome_constant_space(self): |
| 260 | + for ll, expected in self.test_cases: |
| 261 | + ll_temp = LinkedList(*[ll.get_value_at(i) for i in range(ll.size)]) |
| 262 | + self.assertEqual(is_palindrome_constant_space(ll), expected, msg=ll) |
| 263 | + self.assertEqual(ll_temp, ll) |
| 264 | + |
| 265 | + |
| 266 | +if __name__ == '__main__': |
| 267 | + unittest.main() |
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