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<p>You are given a list of songs where the <code>i<sup>th</sup></code> song has a duration of <code>time[i]</code> seconds.</p>
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<p>Return <em>the number of pairs of songs for which their total duration in seconds is divisible by</em> <code>60</code>. Formally, we want the number of indices <code>i</code>, <code>j</code> such that <code>i < j</code> with <code>(time[i] + time[j]) % 60 == 0</code>.</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> time = [30,20,150,100,40]
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<strong>Output:</strong> 3
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<strong>Explanation:</strong> Three pairs have a total duration divisible by 60:
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(time[0] = 30, time[2] = 150): total duration 180
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(time[1] = 20, time[3] = 100): total duration 120
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(time[1] = 20, time[4] = 40): total duration 60
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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> time = [60,60,60]
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<strong>Output:</strong> 3
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<strong>Explanation:</strong> All three pairs have a total duration of 120, which is divisible by 60.
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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 <= time.length <= 6 * 10<sup>4</sup></code></li>
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<li><code>1 <= time[i] <= 500</code></li>
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</ul>
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