|
| 1 | +""" |
| 2 | +Cracking the coding interview |
| 3 | +page #95, question #2.5 |
| 4 | +
|
| 5 | +You have two numbers represented by a linked list, where each node contains a single digit. |
| 6 | +The digits are stored in reverse order, such that the 1's digit is at the head of the list. |
| 7 | +Write a function that adds the two numbers and returns the sum as a linked list. |
| 8 | +
|
| 9 | +Example: |
| 10 | +7->1->6 + 5->9->2 That is 617+295 = 912 |
| 11 | +head of list 1 is 7 |
| 12 | +head of list 2 is 5 |
| 13 | +
|
| 14 | +Follow up |
| 15 | +
|
| 16 | +Suppose the digits are stored in forward order. Repeat the above problem. |
| 17 | +6->1->7 + 2->9->5 That is 617+295 = 912 |
| 18 | +
|
| 19 | +head of list 1 is 6 |
| 20 | +head of list 2 is 2 |
| 21 | +
|
| 22 | +""" |
| 23 | +class Stack(): |
| 24 | + def __init__(self) -> None: |
| 25 | + self.s = [None]*6 |
| 26 | + self.top = None |
| 27 | + |
| 28 | + def push(self,data): |
| 29 | + if self.top == None : |
| 30 | + self.top = 0 |
| 31 | + self.s[self.top] = data |
| 32 | + else: |
| 33 | + self.top +=1 |
| 34 | + self.s[self.top ] =data |
| 35 | + |
| 36 | + def pop(self): |
| 37 | + if self.top == -1: |
| 38 | + print("stack empty") |
| 39 | + self.top = None |
| 40 | + else: |
| 41 | + t = self.s[self.top] |
| 42 | + # self.s.pop(self.top) |
| 43 | + del self.s[self.top] |
| 44 | + self.top -=1 |
| 45 | + return t |
| 46 | + def show(self): |
| 47 | + p = self.top |
| 48 | + while p !=None: |
| 49 | + print(self.s[p]) |
| 50 | + p -=1 |
| 51 | + print("============") |
| 52 | + |
| 53 | + |
| 54 | +class Node(): |
| 55 | + def __init__(self,data) -> None: |
| 56 | + self.data = data |
| 57 | + self.next = None |
| 58 | + |
| 59 | +class singlelinkedlist(): |
| 60 | + def __init__(self) -> None: |
| 61 | + self.head = None |
| 62 | + |
| 63 | + def insert(self,data): |
| 64 | + """ |
| 65 | + insert the data to the linked list |
| 66 | + """ |
| 67 | + node = Node(data) |
| 68 | + if self.head is None: |
| 69 | + self.head = node |
| 70 | + else: |
| 71 | + p=self.head |
| 72 | + while p.next: |
| 73 | + p = p.next |
| 74 | + p.next =node |
| 75 | + |
| 76 | + def show(self): |
| 77 | + print("------------------------") |
| 78 | + p =self.head |
| 79 | + if p: |
| 80 | + while p: |
| 81 | + print(p.data) |
| 82 | + p = p.next |
| 83 | + |
| 84 | + else: |
| 85 | + print("List empty") |
| 86 | + print("------------------------") |
| 87 | + |
| 88 | +class addDigits(): |
| 89 | + def __init__(self,lobj1,lobj2) -> None: |
| 90 | + # self.result = super().__init__() |
| 91 | + self.d1 = lobj1 |
| 92 | + self.d2 = lobj2 |
| 93 | + |
| 94 | + |
| 95 | + def addDigitsinreverse(self): |
| 96 | + """ |
| 97 | + Add the digits stored in reverse order, Meaning head points to unit digit |
| 98 | + return other list if any of the list is empty |
| 99 | +
|
| 100 | + """ |
| 101 | + |
| 102 | + if self.d1.head == None: |
| 103 | + return self.d2 |
| 104 | + elif self.d2.head == None: |
| 105 | + return self.d1 |
| 106 | + else: |
| 107 | + p1 =self.d1.head |
| 108 | + p2 =self.d2.head |
| 109 | + carry =0 |
| 110 | + self.result = singlelinkedlist() |
| 111 | + while p1 !=None or p2!=None: |
| 112 | + if p1 and p2: |
| 113 | + r = p1.data + p2.data +carry |
| 114 | + p1 = p1.next |
| 115 | + p2 = p2.next |
| 116 | + elif p1: |
| 117 | + r = p1.data+carry |
| 118 | + p1 = p1.next |
| 119 | + else: |
| 120 | + r = p2.data+carry |
| 121 | + p2 = p2.next |
| 122 | + |
| 123 | + carry = 0 |
| 124 | + if r>=10: |
| 125 | + self.result.insert(r%10) |
| 126 | + carry = r //10 |
| 127 | + else: |
| 128 | + self.result.insert(r) |
| 129 | + |
| 130 | + if carry >0: |
| 131 | + self.result.insert(carry) |
| 132 | + |
| 133 | + |
| 134 | + return self.result |
| 135 | + |
| 136 | + def addDigitsinforward_withstack(self): |
| 137 | + """ |
| 138 | + Add the digits stored in list in forward order. Meaning head points to last place of digit |
| 139 | + |
| 140 | + """ |
| 141 | + if not self.d1.head: |
| 142 | + return self.d2 |
| 143 | + elif not self.d2.head: |
| 144 | + return self.d1 |
| 145 | + else: |
| 146 | + |
| 147 | + p1 = self.d1.head |
| 148 | + p2 = self.d2.head |
| 149 | + |
| 150 | + stack = Stack() |
| 151 | + result = singlelinkedlist() |
| 152 | + |
| 153 | + s1 = self.d1.head |
| 154 | + s2 = self.d2.head |
| 155 | + |
| 156 | + size1 = 0 |
| 157 | + size2 = 0 |
| 158 | + |
| 159 | + while s1: |
| 160 | + size1 +=1 |
| 161 | + s1 =s1.next |
| 162 | + |
| 163 | + while s2: |
| 164 | + size2 +=1 |
| 165 | + s2 =s2.next |
| 166 | + |
| 167 | + if size2>size1: |
| 168 | + pass |
| 169 | + else: |
| 170 | + pass |
| 171 | + |
| 172 | + |
| 173 | + |
| 174 | + |
| 175 | + while p1 or p2: |
| 176 | + |
| 177 | + if not p1: |
| 178 | + stack.push( p2.data) |
| 179 | + p2 = p2.next |
| 180 | + elif not p2: |
| 181 | + stack.push( p1.data) |
| 182 | + p1 = p1.next |
| 183 | + else: |
| 184 | + stack.push(p1.data + p2.data) |
| 185 | + p1 = p1.next |
| 186 | + p2 = p2.next |
| 187 | + |
| 188 | + |
| 189 | + |
| 190 | + carry = 0 |
| 191 | + while stack.top>=0: |
| 192 | + add = stack.pop() |
| 193 | + |
| 194 | + node = Node(add%10+carry) |
| 195 | + if add >=9: |
| 196 | + |
| 197 | + if result.head == None: |
| 198 | + # |
| 199 | + result.head = node |
| 200 | + |
| 201 | + |
| 202 | + else: |
| 203 | + node.next = result.head |
| 204 | + result.head = node |
| 205 | + |
| 206 | + carry = 1 |
| 207 | + |
| 208 | + |
| 209 | + else: |
| 210 | + if result.head == None: |
| 211 | + |
| 212 | + result.head = node |
| 213 | + else: |
| 214 | + node.next = result.head |
| 215 | + result.head = node |
| 216 | + carry = 0 |
| 217 | + |
| 218 | + return result |
| 219 | + |
| 220 | + |
| 221 | + |
| 222 | + |
| 223 | + |
| 224 | + |
| 225 | + |
| 226 | +# lobj1 = singlelinkedlist() |
| 227 | +# lobj1.insert(8) |
| 228 | +# lobj1.insert(9) |
| 229 | +# lobj1.show() |
| 230 | + |
| 231 | +# lobj2 = singlelinkedlist() |
| 232 | +# lobj2.insert(2) |
| 233 | +# lobj2.insert(0) |
| 234 | +# lobj2.insert(1) |
| 235 | + |
| 236 | +# lobj2.show() |
| 237 | + |
| 238 | +# aobj1 = addDigits(lobj1,lobj2) |
| 239 | +# res1 = aobj1.addDigitsinreverse() |
| 240 | +# print("Result") |
| 241 | +# res1.show() |
| 242 | + |
| 243 | +#example2 forward |
| 244 | +lobj3 = singlelinkedlist() |
| 245 | +# lobj3.insert(6) |
| 246 | +lobj3.insert(1) |
| 247 | +lobj3.insert(7) |
| 248 | + |
| 249 | +lobj4 = singlelinkedlist() |
| 250 | +lobj4.insert(2) |
| 251 | +lobj4.insert(9) |
| 252 | +lobj4.insert(5) |
| 253 | + |
| 254 | +aobj2 = addDigits(lobj3,lobj4) |
| 255 | +res2 = aobj2.addDigitsinforward_withstack() |
| 256 | +print("Result") |
| 257 | +res2.show() |
| 258 | + |
| 259 | + |
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