|
| 1 | +--- |
| 2 | +title: 419.甲板上的战舰 |
| 3 | +date: 2024-06-11 12:27:23 |
| 4 | +tags: [题解, LeetCode, 中等, 深度优先搜索, 数组, 矩阵] |
| 5 | +--- |
| 6 | + |
| 7 | +# 【LetMeFly】419.甲板上的战舰:统计战舰头(左上角)——附Py一行版 |
| 8 | + |
| 9 | +力扣题目链接:[https://leetcode.cn/problems/battleships-in-a-board/](https://leetcode.cn/problems/battleships-in-a-board/) |
| 10 | + |
| 11 | +<p>给你一个大小为 <code>m x n</code> 的矩阵 <code>board</code> 表示甲板,其中,每个单元格可以是一艘战舰 <code>'X'</code> 或者是一个空位 <code>'.'</code> ,返回在甲板 <code>board</code> 上放置的 <strong>战舰</strong> 的数量。</p> |
| 12 | + |
| 13 | +<p><strong>战舰</strong> 只能水平或者垂直放置在 <code>board</code> 上。换句话说,战舰只能按 <code>1 x k</code>(<code>1</code> 行,<code>k</code> 列)或 <code>k x 1</code>(<code>k</code> 行,<code>1</code> 列)的形状建造,其中 <code>k</code> 可以是任意大小。两艘战舰之间至少有一个水平或垂直的空位分隔 (即没有相邻的战舰)。</p> |
| 14 | + |
| 15 | +<p> </p> |
| 16 | + |
| 17 | +<p><strong>示例 1:</strong></p> |
| 18 | +<img alt="" src="https://assets.leetcode.com/uploads/2021/04/10/battelship-grid.jpg" style="width: 333px; height: 333px;" /> |
| 19 | +<pre> |
| 20 | +<strong>输入:</strong>board = [["X",".",".","X"],[".",".",".","X"],[".",".",".","X"]] |
| 21 | +<strong>输出:</strong>2 |
| 22 | +</pre> |
| 23 | + |
| 24 | +<p><strong>示例 2:</strong></p> |
| 25 | + |
| 26 | +<pre> |
| 27 | +<strong>输入:</strong>board = [["."]] |
| 28 | +<strong>输出:</strong>0 |
| 29 | +</pre> |
| 30 | + |
| 31 | +<p> </p> |
| 32 | + |
| 33 | +<p><strong>提示:</strong></p> |
| 34 | + |
| 35 | +<ul> |
| 36 | + <li><code>m == board.length</code></li> |
| 37 | + <li><code>n == board[i].length</code></li> |
| 38 | + <li><code>1 <= m, n <= 200</code></li> |
| 39 | + <li><code>board[i][j]</code> 是 <code>'.'</code> 或 <code>'X'</code></li> |
| 40 | +</ul> |
| 41 | + |
| 42 | +<p> </p> |
| 43 | + |
| 44 | +<p><strong>进阶:</strong>你可以实现一次扫描算法,并只使用<strong> </strong><code>O(1)</code><strong> </strong>额外空间,并且不修改 <code>board</code> 的值来解决这个问题吗?</p> |
| 45 | + |
| 46 | + |
| 47 | + |
| 48 | +## 解题方法:统计战舰左上角 |
| 49 | + |
| 50 | +这题的意思是,若出现战舰```X```,则战舰```X```的形状必定是“一行或一列连着几个”。 |
| 51 | + |
| 52 | +因此我们直接统计有多少个“战舰头”不就可以了吗。 |
| 53 | + |
| 54 | +遍历每个方格,若当前方格为战舰```X```,则满足以下条件时该方格为“战舰头”: |
| 55 | + |
| 56 | +> + 该方格左边是边界或空地 |
| 57 | +> + 该方格上边是边界或空地 |
| 58 | +
|
| 59 | ++ 时间复杂度$O(size(board))$ |
| 60 | ++ 空间复杂度$O(1)$ |
| 61 | + |
| 62 | +### AC代码 |
| 63 | + |
| 64 | +#### C++ |
| 65 | + |
| 66 | +```cpp |
| 67 | +class Solution { |
| 68 | +public: |
| 69 | + int countBattleships(vector<vector<char>>& board) { |
| 70 | + int ans = 0; |
| 71 | + for (int i = 0; i < board.size(); i++) { |
| 72 | + for (int j = 0; j < board[0].size(); j++) { |
| 73 | + if (board[i][j] == 'X' && (i == 0 || board[i - 1][j] == '.') && (j == 0 || board[i][j - 1] == '.')) { |
| 74 | + ans++; |
| 75 | + } |
| 76 | + } |
| 77 | + } |
| 78 | + return ans; |
| 79 | + } |
| 80 | +}; |
| 81 | +``` |
| 82 | +
|
| 83 | +#### Go |
| 84 | +
|
| 85 | +```go |
| 86 | +// package main |
| 87 | +
|
| 88 | +func countBattleships(board [][]byte) int { |
| 89 | + ans := 0 |
| 90 | + for i := 0; i < len(board); i++ { |
| 91 | + for j := 0; j < len(board[0]); j++ { |
| 92 | + if board[i][j] == 'X' && (i == 0 || board[i - 1][j] == '.') && (j == 0 || board[i][j - 1] == '.') { |
| 93 | + ans++ |
| 94 | + } |
| 95 | + } |
| 96 | + } |
| 97 | + return ans |
| 98 | +} |
| 99 | +``` |
| 100 | + |
| 101 | +#### Java |
| 102 | + |
| 103 | +```java |
| 104 | +class Solution { |
| 105 | + public int countBattleships(char[][] board) { |
| 106 | + int ans = 0; |
| 107 | + for (int i = 0; i < board.length; i++) { |
| 108 | + for (int j = 0; j < board[0].length; j++) { |
| 109 | + if (board[i][j] == 'X' && (i == 0 || board[i - 1][j] == '.') && (j == 0 || board[i][j - 1] == '.')) { |
| 110 | + ans++; |
| 111 | + } |
| 112 | + } |
| 113 | + } |
| 114 | + return ans; |
| 115 | + } |
| 116 | +} |
| 117 | +``` |
| 118 | + |
| 119 | +#### Python |
| 120 | + |
| 121 | +```python |
| 122 | +# from typing import List |
| 123 | + |
| 124 | +class Solution: |
| 125 | + def countBattleships(self, board: List[List[str]]) -> int: |
| 126 | + return sum(board[i][j] == 'X' and (i == 0 or board[i - 1][j] == '.') and (j == 0 or board[i][j - 1] == '.') for j in range(len(board[0])) for i in range(len(board))) |
| 127 | +``` |
| 128 | + |
| 129 | +> 同步发文于CSDN和我的[个人博客](https://blog.letmefly.xyz/),原创不易,转载经作者同意后请附上[原文链接](https://blog.letmefly.xyz/2024/06/11/LeetCode%200419.%E7%94%B2%E6%9D%BF%E4%B8%8A%E7%9A%84%E6%88%98%E8%88%B0/)哦~ |
| 130 | +> |
| 131 | +> Tisfy:[https://letmefly.blog.csdn.net/article/details/139595909](https://letmefly.blog.csdn.net/article/details/139595909) |
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