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"question": {
"questionId": "1631",
"questionFrontendId": "1524",
"categoryTitle": "Algorithms",
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"title": "Number of Sub-arrays With Odd Sum",
"titleSlug": "number-of-sub-arrays-with-odd-sum",
"content": "<p>Given an array of integers <code>arr</code>, return <em>the number of subarrays with an <strong>odd</strong> sum</em>.</p>\n\n<p>Since the answer can be very large, return it modulo <code>10<sup>9</sup> + 7</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> arr = [1,3,5]\n<strong>Output:</strong> 4\n<strong>Explanation:</strong> All subarrays are [[1],[1,3],[1,3,5],[3],[3,5],[5]]\nAll sub-arrays sum are [1,4,9,3,8,5].\nOdd sums are [1,9,3,5] so the answer is 4.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> arr = [2,4,6]\n<strong>Output:</strong> 0\n<strong>Explanation:</strong> All subarrays are [[2],[2,4],[2,4,6],[4],[4,6],[6]]\nAll sub-arrays sum are [2,6,12,4,10,6].\nAll sub-arrays have even sum and the answer is 0.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> arr = [1,2,3,4,5,6,7]\n<strong>Output:</strong> 16\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= arr.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= arr[i] &lt;= 100</code></li>\n</ul>\n",
"translatedTitle": "和为奇数的子数组数目",
"translatedContent": "<p>给你一个整数数组&nbsp;<code>arr</code>&nbsp;。请你返回和为 <strong>奇数</strong>&nbsp;的子数组数目。</p>\n\n<p>由于答案可能会很大,请你将结果对&nbsp;<code>10^9 + 7</code>&nbsp;取余后返回。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre><strong>输入:</strong>arr = [1,3,5]\n<strong>输出:</strong>4\n<strong>解释:</strong>所有的子数组为 [[1],[1,3],[1,3,5],[3],[3,5],[5]] 。\n所有子数组的和为 [1,4,9,3,8,5].\n奇数和包括 [1,9,3,5] ,所以答案为 4 。\n</pre>\n\n<p><strong>示例 2 </strong></p>\n\n<pre><strong>输入:</strong>arr = [2,4,6]\n<strong>输出:</strong>0\n<strong>解释:</strong>所有子数组为 [[2],[2,4],[2,4,6],[4],[4,6],[6]] 。\n所有子数组和为 [2,6,12,4,10,6] 。\n所有子数组和都是偶数所以答案为 0 。\n</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre><strong>输入:</strong>arr = [1,2,3,4,5,6,7]\n<strong>输出:</strong>16\n</pre>\n\n<p><strong>示例 4</strong></p>\n\n<pre><strong>输入:</strong>arr = [100,100,99,99]\n<strong>输出:</strong>4\n</pre>\n\n<p><strong>示例 5</strong></p>\n\n<pre><strong>输入:</strong>arr = [7]\n<strong>输出:</strong>1\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= arr.length &lt;= 10^5</code></li>\n\t<li><code>1 &lt;= arr[i] &lt;= 100</code></li>\n</ul>\n",
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"hints": [
"Can we use the accumulative sum to keep track of all the odd-sum sub-arrays ?",
"if the current accu sum is odd, we care only about previous even accu sums and vice versa."
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