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53 | 53 |
|
54 | 54 | <!-- 这里可写通用的实现逻辑 -->
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55 | 55 |
|
| 56 | +**方法一:贪心 + 排序** |
| 57 | + |
| 58 | +要使得处理完所有任务的时间最小,那么越早处于空闲状态的处理器应该处理耗时最长的 $4$ 个任务。 |
| 59 | + |
| 60 | +因此,我们对处理器的空闲时间和任务的耗时分别进行排序,然后依次将耗时最长的 $4$ 个任务分配给空闲时间最早的处理器,计算最大的结束时间即可。 |
| 61 | + |
| 62 | +时间复杂度 $O(n \times \log n)$,空间复杂度 $O(\log n)$。其中 $n$ 为任务的数量。 |
| 63 | + |
56 | 64 | <!-- tabs:start -->
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57 | 65 |
|
58 | 66 | ### **Python3**
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59 | 67 |
|
60 | 68 | <!-- 这里可写当前语言的特殊实现逻辑 -->
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61 | 69 |
|
62 | 70 | ```python
|
63 |
| - |
| 71 | +class Solution: |
| 72 | + def minProcessingTime(self, processorTime: List[int], tasks: List[int]) -> int: |
| 73 | + processorTime.sort() |
| 74 | + tasks.sort() |
| 75 | + ans = 0 |
| 76 | + i = len(tasks) - 1 |
| 77 | + for t in processorTime: |
| 78 | + ans = max(ans, t + tasks[i]) |
| 79 | + i -= 4 |
| 80 | + return ans |
64 | 81 | ```
|
65 | 82 |
|
66 | 83 | ### **Java**
|
67 | 84 |
|
68 | 85 | <!-- 这里可写当前语言的特殊实现逻辑 -->
|
69 | 86 |
|
70 | 87 | ```java
|
71 |
| - |
| 88 | +class Solution { |
| 89 | + public int minProcessingTime(List<Integer> processorTime, List<Integer> tasks) { |
| 90 | + processorTime.sort((a, b) -> a - b); |
| 91 | + tasks.sort((a, b) -> a - b); |
| 92 | + int ans = 0, i = tasks.size() - 1; |
| 93 | + for (int t : processorTime) { |
| 94 | + ans = Math.max(ans, t + tasks.get(i)); |
| 95 | + i -= 4; |
| 96 | + } |
| 97 | + return ans; |
| 98 | + } |
| 99 | +} |
72 | 100 | ```
|
73 | 101 |
|
74 | 102 | ### **C++**
|
75 | 103 |
|
76 | 104 | ```cpp
|
77 |
| - |
| 105 | +class Solution { |
| 106 | +public: |
| 107 | + int minProcessingTime(vector<int>& processorTime, vector<int>& tasks) { |
| 108 | + sort(processorTime.begin(), processorTime.end()); |
| 109 | + sort(tasks.begin(), tasks.end()); |
| 110 | + int ans = 0, i = tasks.size() - 1; |
| 111 | + for (int t : processorTime) { |
| 112 | + ans = max(ans, t + tasks[i]); |
| 113 | + i -= 4; |
| 114 | + } |
| 115 | + return ans; |
| 116 | + } |
| 117 | +}; |
78 | 118 | ```
|
79 | 119 |
|
80 | 120 | ### **Go**
|
81 | 121 |
|
82 | 122 | ```go
|
| 123 | +func minProcessingTime(processorTime []int, tasks []int) (ans int) { |
| 124 | + sort.Ints(processorTime) |
| 125 | + sort.Ints(tasks) |
| 126 | + i := len(tasks) - 1 |
| 127 | + for _, t := range processorTime { |
| 128 | + ans = max(ans, t+tasks[i]) |
| 129 | + i -= 4 |
| 130 | + } |
| 131 | + return |
| 132 | +} |
| 133 | +
|
| 134 | +func max(a, b int) int { |
| 135 | + if a > b { |
| 136 | + return a |
| 137 | + } |
| 138 | + return b |
| 139 | +} |
| 140 | +``` |
83 | 141 |
|
| 142 | +### **TypeScript** |
| 143 | + |
| 144 | +```ts |
| 145 | +function minProcessingTime(processorTime: number[], tasks: number[]): number { |
| 146 | + processorTime.sort((a, b) => a - b); |
| 147 | + tasks.sort((a, b) => a - b); |
| 148 | + let [ans, i] = [0, tasks.length - 1]; |
| 149 | + for (const t of processorTime) { |
| 150 | + ans = Math.max(ans, t + tasks[i]); |
| 151 | + i -= 4; |
| 152 | + } |
| 153 | + return ans; |
| 154 | +} |
84 | 155 | ```
|
85 | 156 |
|
86 | 157 | ### **...**
|
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