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46 lines
1.4 KiB
HTML
46 lines
1.4 KiB
HTML
<p>You are given an integer array <code>coins</code> representing coins of different denominations and an integer <code>amount</code> representing a total amount of money.</p>
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<p>Return <em>the number of combinations that make up that amount</em>. If that amount of money cannot be made up by any combination of the coins, return <code>0</code>.</p>
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<p>You may assume that you have an infinite number of each kind of coin.</p>
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<p>The answer is <strong>guaranteed</strong> to fit into a signed <strong>32-bit</strong> integer.</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> amount = 5, coins = [1,2,5]
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<strong>Output:</strong> 4
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<strong>Explanation:</strong> there are four ways to make up the amount:
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5=5
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5=2+2+1
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5=2+1+1+1
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5=1+1+1+1+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> amount = 3, coins = [2]
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<strong>Output:</strong> 0
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<strong>Explanation:</strong> the amount of 3 cannot be made up just with coins of 2.
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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> amount = 10, coins = [10]
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<strong>Output:</strong> 1
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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 <= coins.length <= 300</code></li>
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<li><code>1 <= coins[i] <= 5000</code></li>
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<li>All the values of <code>coins</code> are <strong>unique</strong>.</li>
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<li><code>0 <= amount <= 5000</code></li>
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</ul>
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