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60 | 60 |
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61 | 61 | <!-- 这里可写通用的实现逻辑 -->
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62 | 62 |
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| 63 | +题目描述带有一定迷惑性,“交织”的过程其实就类似归并排序的 merge 过程,每次从 `s1` 或 `s2` 的首部取一个字符,最终组成 `s3`,用记忆化搜索或者动态规划都可以解决 |
| 64 | + |
63 | 65 | <!-- tabs:start -->
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64 | 66 |
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65 | 67 | ### **Python3**
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66 | 68 |
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67 | 69 | <!-- 这里可写当前语言的特殊实现逻辑 -->
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68 | 70 |
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69 | 71 | ```python
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| 72 | +class Solution: |
| 73 | + def isInterleave(self, s1: str, s2: str, s3: str) -> bool: |
| 74 | + m, n = len(s1), len(s2) |
| 75 | + if m + n != len(s3): |
| 76 | + return False |
| 77 | + |
| 78 | + @lru_cache |
| 79 | + def dfs(i, j): |
| 80 | + if i == m and j == n: |
| 81 | + return True |
| 82 | + |
| 83 | + return i < m and s1[i] == s3[i + j] and dfs(i + 1, j) or \ |
| 84 | + j < n and s2[j] == s3[i + j] and dfs(i, j + 1) |
70 | 85 |
|
| 86 | + return dfs(0, 0) |
71 | 87 | ```
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72 | 88 |
|
73 | 89 | ### **Java**
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74 | 90 |
|
75 | 91 | <!-- 这里可写当前语言的特殊实现逻辑 -->
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76 | 92 |
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77 | 93 | ```java
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| 94 | +class Solution { |
| 95 | + private int m; |
| 96 | + private int n; |
| 97 | + private String s1; |
| 98 | + private String s2; |
| 99 | + private String s3; |
| 100 | + private Map<Integer, Boolean> memo = new HashMap<>(); |
| 101 | + |
| 102 | + public boolean isInterleave(String s1, String s2, String s3) { |
| 103 | + m = s1.length(); |
| 104 | + n = s2.length(); |
| 105 | + this.s1 = s1; |
| 106 | + this.s2 = s2; |
| 107 | + this.s3 = s3; |
| 108 | + if (m + n != s3.length()) { |
| 109 | + return false; |
| 110 | + } |
| 111 | + return dfs(0, 0); |
| 112 | + } |
| 113 | + |
| 114 | + private boolean dfs(int i, int j) { |
| 115 | + System.out.println(i + ", " + j); |
| 116 | + if (i == m && j == n) { |
| 117 | + return true; |
| 118 | + } |
| 119 | + if (memo.containsKey(i * 100 + j)) { |
| 120 | + return memo.get(i * 100 + j); |
| 121 | + } |
| 122 | + |
| 123 | + boolean ret = (i < m && s1.charAt(i) == s3.charAt(i + j) && dfs(i + 1, j)) || |
| 124 | + (j < n && s2.charAt(j) == s3.charAt(i + j) && dfs(i, j + 1)); |
| 125 | + |
| 126 | + memo.put(i * 100 + j, ret); |
| 127 | + return ret; |
| 128 | + } |
| 129 | +} |
| 130 | +``` |
| 131 | + |
| 132 | +### **C++** |
| 133 | + |
| 134 | +```cpp |
| 135 | +class Solution { |
| 136 | +public: |
| 137 | + bool isInterleave(string s1, string s2, string s3) { |
| 138 | + int m = s1.size(), n = s2.size(); |
| 139 | + if (m + n != s3.size()) return false; |
| 140 | + |
| 141 | + unordered_map<int, bool> memo; |
| 142 | + |
| 143 | + function<bool(int, int)> dfs; |
| 144 | + dfs = [&](int i, int j) { |
| 145 | + if (i == m && j == n) return true; |
| 146 | + auto it = memo.find(i * 100 + j); |
| 147 | + if (it != memo.end()) return it->second; |
| 148 | + |
| 149 | + bool ret = (i < m && s1[i] == s3[i + j] && dfs(i + 1, j)) || |
| 150 | + (j < n && s2[j] == s3[i + j] && dfs(i, j + 1)); |
| 151 | + |
| 152 | + memo[i * 100 + j] = ret; |
| 153 | + return ret; |
| 154 | + }; |
| 155 | + |
| 156 | + return dfs(0, 0); |
| 157 | + } |
| 158 | +}; |
| 159 | +``` |
| 160 | + |
| 161 | +### **Go** |
| 162 | + |
| 163 | +```go |
| 164 | +func isInterleave(s1 string, s2 string, s3 string) bool { |
| 165 | + m, n := len(s1), len(s2) |
| 166 | + if m+n != len(s3) { |
| 167 | + return false |
| 168 | + } |
| 169 | + |
| 170 | + memo := make(map[int]bool) |
| 171 | + |
| 172 | + var dfs func(int, int) bool |
| 173 | + dfs = func(i, j int) bool { |
| 174 | + if i == m && j == n { |
| 175 | + return true |
| 176 | + } |
| 177 | + if v, ok := memo[i*100+j]; ok { |
| 178 | + return v |
| 179 | + } |
| 180 | + |
| 181 | + ret := (i < m && s1[i] == s3[i+j] && dfs(i+1, j)) || |
| 182 | + (j < n && s2[j] == s3[i+j] && dfs(i, j+1)) |
| 183 | + |
| 184 | + memo[i*100+j] = ret |
| 185 | + return ret |
| 186 | + } |
78 | 187 |
|
| 188 | + return dfs(0, 0) |
| 189 | +} |
79 | 190 | ```
|
80 | 191 |
|
81 | 192 | ### **...**
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