|
66 | 66 |
|
67 | 67 | <!-- 这里可写通用的实现逻辑 -->
|
68 | 68 |
|
| 69 | +**方法一:递归** |
| 70 | + |
| 71 | +时间复杂度 $O(n)$。 |
| 72 | + |
69 | 73 | <!-- tabs:start -->
|
70 | 74 |
|
71 | 75 | ### **Python3**
|
72 | 76 |
|
73 | 77 | <!-- 这里可写当前语言的特殊实现逻辑 -->
|
74 | 78 |
|
75 | 79 | ```python
|
| 80 | +class Solution: |
| 81 | + def evaluate(self, expression: str) -> int: |
| 82 | + def parseVar(): |
| 83 | + nonlocal i |
| 84 | + j = i |
| 85 | + while i < n and expression[i] not in " )": |
| 86 | + i += 1 |
| 87 | + return expression[j:i] |
| 88 | + |
| 89 | + def parseInt(): |
| 90 | + nonlocal i |
| 91 | + sign, v = 1, 0 |
| 92 | + if expression[i] == "-": |
| 93 | + sign = -1 |
| 94 | + i += 1 |
| 95 | + while i < n and expression[i].isdigit(): |
| 96 | + v = v * 10 + int(expression[i]) |
| 97 | + i += 1 |
| 98 | + return sign * v |
| 99 | + |
| 100 | + def eval(): |
| 101 | + nonlocal i |
| 102 | + if expression[i] != "(": |
| 103 | + return scope[parseVar()][-1] if expression[i].islower() else parseInt() |
| 104 | + i += 1 |
| 105 | + if expression[i] == "l": |
| 106 | + i += 4 |
| 107 | + vars = [] |
| 108 | + while 1: |
| 109 | + var = parseVar() |
| 110 | + if expression[i] == ")": |
| 111 | + ans = scope[var][-1] |
| 112 | + break |
| 113 | + vars.append(var) |
| 114 | + i += 1 |
| 115 | + scope[var].append(eval()) |
| 116 | + i += 1 |
| 117 | + if not expression[i].islower(): |
| 118 | + ans = eval() |
| 119 | + break |
| 120 | + for v in vars: |
| 121 | + scope[v].pop() |
| 122 | + else: |
| 123 | + add = expression[i] == "a" |
| 124 | + i += 4 if add else 5 |
| 125 | + a = eval() |
| 126 | + i += 1 |
| 127 | + b = eval() |
| 128 | + ans = a + b if add else a * b |
| 129 | + i += 1 |
| 130 | + return ans |
76 | 131 |
|
| 132 | + i, n = 0, len(expression) |
| 133 | + scope = defaultdict(list) |
| 134 | + return eval() |
77 | 135 | ```
|
78 | 136 |
|
79 | 137 | ### **Java**
|
80 | 138 |
|
81 | 139 | <!-- 这里可写当前语言的特殊实现逻辑 -->
|
82 | 140 |
|
83 | 141 | ```java
|
| 142 | +class Solution { |
| 143 | + private int i; |
| 144 | + private String expr; |
| 145 | + private Map<String, Deque<Integer>> scope = new HashMap<>(); |
| 146 | + |
| 147 | + public int evaluate(String expression) { |
| 148 | + expr = expression; |
| 149 | + return eval(); |
| 150 | + } |
| 151 | + |
| 152 | + private int eval() { |
| 153 | + char c = expr.charAt(i); |
| 154 | + if (c != '(') { |
| 155 | + return Character.isLowerCase(c) ? scope.get(parseVar()).peekLast() : parseInt(); |
| 156 | + } |
| 157 | + ++i; |
| 158 | + c = expr.charAt(i); |
| 159 | + int ans = 0; |
| 160 | + if (c == 'l') { |
| 161 | + i += 4; |
| 162 | + List<String> vars = new ArrayList<>(); |
| 163 | + while (true) { |
| 164 | + String var = parseVar(); |
| 165 | + if (expr.charAt(i) == ')') { |
| 166 | + ans = scope.get(var).peekLast(); |
| 167 | + break; |
| 168 | + } |
| 169 | + vars.add(var); |
| 170 | + ++i; |
| 171 | + scope.computeIfAbsent(var, k -> new ArrayDeque<>()).offer(eval()); |
| 172 | + ++i; |
| 173 | + if (!Character.isLowerCase(expr.charAt(i))) { |
| 174 | + ans = eval(); |
| 175 | + break; |
| 176 | + } |
| 177 | + } |
| 178 | + for (String v : vars) { |
| 179 | + scope.get(v).pollLast(); |
| 180 | + } |
| 181 | + } else { |
| 182 | + boolean add = c == 'a'; |
| 183 | + i += add ? 4 : 5; |
| 184 | + int a = eval(); |
| 185 | + ++i; |
| 186 | + int b = eval(); |
| 187 | + ans = add ? a + b : a * b; |
| 188 | + } |
| 189 | + ++i; |
| 190 | + return ans; |
| 191 | + } |
| 192 | + |
| 193 | + private String parseVar() { |
| 194 | + int j = i; |
| 195 | + while (i < expr.length() && expr.charAt(i) != ' ' && expr.charAt(i) != ')') { |
| 196 | + ++i; |
| 197 | + } |
| 198 | + return expr.substring(j, i); |
| 199 | + } |
| 200 | + |
| 201 | + private int parseInt() { |
| 202 | + int sign = 1; |
| 203 | + if (expr.charAt(i) == '-') { |
| 204 | + sign = -1; |
| 205 | + ++i; |
| 206 | + } |
| 207 | + int v = 0; |
| 208 | + while (i < expr.length() && Character.isDigit(expr.charAt(i))) { |
| 209 | + v = v * 10 + (expr.charAt(i) - '0'); |
| 210 | + ++i; |
| 211 | + } |
| 212 | + return sign * v; |
| 213 | + } |
| 214 | +} |
| 215 | +``` |
| 216 | + |
| 217 | +### **C++** |
| 218 | + |
| 219 | +```cpp |
| 220 | +class Solution { |
| 221 | +public: |
| 222 | + int i = 0; |
| 223 | + string expr; |
| 224 | + unordered_map<string, vector<int>> scope; |
| 225 | + |
| 226 | + int evaluate(string expression) { |
| 227 | + expr = expression; |
| 228 | + return eval(); |
| 229 | + } |
| 230 | + |
| 231 | + int eval() { |
| 232 | + if (expr[i] != '(') return islower(expr[i]) ? scope[parseVar()].back() : parseInt(); |
| 233 | + int ans = 0; |
| 234 | + ++i; |
| 235 | + if (expr[i] == 'l') |
| 236 | + { |
| 237 | + i += 4; |
| 238 | + vector<string> vars; |
| 239 | + while (1) |
| 240 | + { |
| 241 | + string var = parseVar(); |
| 242 | + if (expr[i] == ')') |
| 243 | + { |
| 244 | + ans = scope[var].back(); |
| 245 | + break; |
| 246 | + } |
| 247 | + ++i; |
| 248 | + vars.push_back(var); |
| 249 | + scope[var].push_back(eval()); |
| 250 | + ++i; |
| 251 | + if (!islower(expr[i])) |
| 252 | + { |
| 253 | + ans = eval(); |
| 254 | + break; |
| 255 | + } |
| 256 | + } |
| 257 | + for (string v : vars) scope[v].pop_back(); |
| 258 | + } |
| 259 | + else |
| 260 | + { |
| 261 | + bool add = expr[i] == 'a'; |
| 262 | + i += add ? 4 : 5; |
| 263 | + int a = eval(); |
| 264 | + ++i; |
| 265 | + int b = eval(); |
| 266 | + ans = add ? a + b : a * b; |
| 267 | + } |
| 268 | + ++i; |
| 269 | + return ans; |
| 270 | + } |
| 271 | + |
| 272 | + string parseVar() { |
| 273 | + int j = i; |
| 274 | + while (i < expr.size() && expr[i] != ' ' && expr[i] != ')') ++i; |
| 275 | + return expr.substr(j, i - j); |
| 276 | + } |
84 | 277 |
|
| 278 | + int parseInt() { |
| 279 | + int sign = 1, v = 0; |
| 280 | + if (expr[i] == '-') |
| 281 | + { |
| 282 | + sign = -1; |
| 283 | + ++i; |
| 284 | + } |
| 285 | + while (i < expr.size() && expr[i] >= '0' && expr[i] <= '9') |
| 286 | + { |
| 287 | + v = v * 10 + (expr[i] - '0'); |
| 288 | + ++i; |
| 289 | + } |
| 290 | + return sign * v; |
| 291 | + } |
| 292 | +}; |
85 | 293 | ```
|
86 | 294 |
|
87 | 295 | ### **...**
|
|
0 commit comments