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<p>Given an array <code>nums</code> of positive integers. Your task is to select some subset of <code>nums</code>, multiply each element by an integer and add all these numbers. The array is said to be <strong>good </strong>if you can obtain a sum of <code>1</code> from the array by any possible subset and multiplicand.</p>
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<p>Return <code>True</code> if the array is <strong>good </strong>otherwise return <code>False</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> nums = [12,5,7,23]
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<strong>Output:</strong> true
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<strong>Explanation:</strong> Pick numbers 5 and 7.
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5*3 + 7*(-2) = 1
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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 = [29,6,10]
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<strong>Output:</strong> true
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<strong>Explanation:</strong> Pick numbers 29, 6 and 10.
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29*1 + 6*(-3) + 10*(-1) = 1
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</pre>
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<p><strong>Example 3:</strong></p>
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<pre>
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<strong>Input:</strong> nums = [3,6]
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<strong>Output:</strong> false
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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 <= 10^5</code></li>
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	<li><code>1 <= nums[i] <= 10^9</code></li>
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</ul>
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