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53 | 53 |
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54 | 54 | <!-- 这里可写通用的实现逻辑 -->
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55 | 55 |
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| 56 | +我们需要找到一个分界点 `i`,使 `[:i]` 全为 0,`[i:]` 全为 1,并且翻转次数最少,问题就转换成计算 `i` 的左右两侧的翻转次数,可以用前缀和进行优化 |
| 57 | + |
56 | 58 | <!-- tabs:start -->
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57 | 59 |
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58 | 60 | ### **Python3**
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59 | 61 |
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60 | 62 | <!-- 这里可写当前语言的特殊实现逻辑 -->
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61 | 63 |
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62 | 64 | ```python
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63 |
| - |
| 65 | +class Solution: |
| 66 | + def minFlipsMonoIncr(self, s: str) -> int: |
| 67 | + n = len(s) |
| 68 | + left, right = [0] * (n + 1), [0] * (n + 1) |
| 69 | + ans = 0x3f3f3f3f |
| 70 | + for i in range(1, n + 1): |
| 71 | + left[i] = left[i - 1] + (1 if s[i - 1] == '1' else 0) |
| 72 | + for i in range(n - 1, -1, -1): |
| 73 | + right[i] = right[i + 1] + (1 if s[i] == '0' else 0) |
| 74 | + for i in range(0, n + 1): |
| 75 | + ans = min(ans, left[i] + right[i]) |
| 76 | + return ans |
64 | 77 | ```
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65 | 78 |
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66 | 79 | ### **Java**
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67 | 80 |
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68 | 81 | <!-- 这里可写当前语言的特殊实现逻辑 -->
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69 | 82 |
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70 | 83 | ```java
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| 84 | +class Solution { |
| 85 | + public int minFlipsMonoIncr(String s) { |
| 86 | + int n = s.length(); |
| 87 | + int[] left = new int[n + 1]; |
| 88 | + int[] right = new int[n + 1]; |
| 89 | + int ans = Integer.MAX_VALUE; |
| 90 | + for (int i = 1; i <= n; i++) { |
| 91 | + left[i] = left[i - 1] + (s.charAt(i - 1) == '1' ? 1 : 0); |
| 92 | + } |
| 93 | + for (int i = n - 1; i >= 0; i--) { |
| 94 | + right[i] = right[i + 1] + (s.charAt(i) == '0' ? 1 : 0); |
| 95 | + } |
| 96 | + for (int i = 0; i <= n; i++) { |
| 97 | + ans = Math.min(ans, left[i] + right[i]); |
| 98 | + } |
| 99 | + return ans; |
| 100 | + } |
| 101 | +} |
| 102 | +``` |
| 103 | + |
| 104 | +### **C++** |
| 105 | + |
| 106 | +```cpp |
| 107 | +class Solution { |
| 108 | +public: |
| 109 | + int minFlipsMonoIncr(string s) { |
| 110 | + int n = s.size(); |
| 111 | + vector<int> left(n + 1, 0), right(n + 1, 0); |
| 112 | + int ans = INT_MAX; |
| 113 | + for (int i = 1; i <= n; ++i) { |
| 114 | + left[i] = left[i - 1] + (s[i - 1] == '1'); |
| 115 | + } |
| 116 | + for (int i = n - 1; i >= 0; --i) { |
| 117 | + right[i] = right[i + 1] + (s[i] == '0'); |
| 118 | + } |
| 119 | + for (int i = 0; i <= n; i++) { |
| 120 | + ans = min(ans, left[i] + right[i]); |
| 121 | + } |
| 122 | + return ans; |
| 123 | + } |
| 124 | +}; |
| 125 | +``` |
71 | 126 |
|
| 127 | +### **Go** |
| 128 | +
|
| 129 | +```go |
| 130 | +func minFlipsMonoIncr(s string) int { |
| 131 | + n := len(s) |
| 132 | + left, right := make([]int, n+1), make([]int, n+1) |
| 133 | + ans := math.MaxInt32 |
| 134 | + for i := 1; i <= n; i++ { |
| 135 | + left[i] = left[i-1] |
| 136 | + if s[i-1] == '1' { |
| 137 | + left[i]++ |
| 138 | + } |
| 139 | + } |
| 140 | + for i := n - 1; i >= 0; i-- { |
| 141 | + right[i] = right[i+1] |
| 142 | + if s[i] == '0' { |
| 143 | + right[i]++ |
| 144 | + } |
| 145 | + } |
| 146 | + for i := 0; i <= n; i++ { |
| 147 | + ans = min(ans, left[i]+right[i]) |
| 148 | + } |
| 149 | + return ans |
| 150 | +} |
| 151 | +
|
| 152 | +func min(x, y int) int { |
| 153 | + if x < y { |
| 154 | + return x |
| 155 | + } |
| 156 | + return y |
| 157 | +} |
72 | 158 | ```
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73 | 159 |
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74 | 160 | ### **...**
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