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30 lines
963 B
HTML
30 lines
963 B
HTML
<p>Given an integer array <code>nums</code> and an integer <code>k</code>, return <em>the number of non-empty <strong>subarrays</strong> that have a sum divisible by </em><code>k</code>.</p>
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<p>A <strong>subarray</strong> is a <strong>contiguous</strong> part of an array.</p>
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<p> </p>
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<p><strong>Example 1:</strong></p>
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<pre>
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<strong>Input:</strong> nums = [4,5,0,-2,-3,1], k = 5
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<strong>Output:</strong> 7
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<strong>Explanation:</strong> There are 7 subarrays with a sum divisible by k = 5:
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[4, 5, 0, -2, -3, 1], [5], [5, 0], [5, 0, -2, -3], [0], [0, -2, -3], [-2, -3]
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</pre>
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<p><strong>Example 2:</strong></p>
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<pre>
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<strong>Input:</strong> nums = [5], k = 9
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<strong>Output:</strong> 0
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</pre>
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<p> </p>
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<p><strong>Constraints:</strong></p>
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<ul>
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<li><code>1 <= nums.length <= 3 * 10<sup>4</sup></code></li>
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<li><code>-10<sup>4</sup> <= nums[i] <= 10<sup>4</sup></code></li>
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<li><code>2 <= k <= 10<sup>4</sup></code></li>
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</ul>
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