leetcode-problemset/leetcode-cn/problem (English)/矩阵对角线元素的和(English) [matrix-diagonal-sum].html

<p>Given a&nbsp;square&nbsp;matrix&nbsp;<code>mat</code>, return the sum of the matrix diagonals.</p>

<p>Only include the sum of all the elements on the primary diagonal and all the elements on the secondary diagonal that are not part of the primary diagonal.</p>

<p>&nbsp;</p>
<p><strong>Example 1:</strong></p>
<img alt="" src="https://assets.leetcode.com/uploads/2020/08/14/sample_1911.png" style="width: 336px; height: 174px;" />
<pre>
<strong>Input:</strong> mat = [[<strong>1</strong>,2,<strong>3</strong>],
&nbsp;             [4,<strong>5</strong>,6],
&nbsp;             [<strong>7</strong>,8,<strong>9</strong>]]
<strong>Output:</strong> 25
<strong>Explanation: </strong>Diagonals sum: 1 + 5 + 9 + 3 + 7 = 25
Notice that element mat[1][1] = 5 is counted only once.
</pre>

<p><strong>Example 2:</strong></p>

<pre>
<strong>Input:</strong> mat = [[<strong>1</strong>,1,1,<strong>1</strong>],
&nbsp;             [1,<strong>1</strong>,<strong>1</strong>,1],
&nbsp;             [1,<strong>1</strong>,<strong>1</strong>,1],
&nbsp;             [<strong>1</strong>,1,1,<strong>1</strong>]]
<strong>Output:</strong> 8
</pre>

<p><strong>Example 3:</strong></p>

<pre>
<strong>Input:</strong> mat = [[<strong>5</strong>]]
<strong>Output:</strong> 5
</pre>

<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>

<ul>
	<li><code>n == mat.length == mat[i].length</code></li>
	<li><code>1 &lt;= n &lt;= 100</code></li>
	<li><code>1 &lt;= mat[i][j] &lt;= 100</code></li>
</ul>