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You have a total of n coins that you want to form in a staircase shape, where every k-th row must have exactly k coins. |
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Given n, find the total number of full staircase rows that can be formed. |
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n is a non-negative integer and fits within the range of a 32-bit signed integer. |
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Example 1: |
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n = 5 |
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The coins can form the following rows: |
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¤ |
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¤ ¤ |
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¤ ¤ |
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Because the 3rd row is incomplete, we return 2. |
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Example 2: |
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n = 8 |
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The coins can form the following rows: |
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¤ |
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¤ ¤ |
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¤ ¤ ¤ |
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¤ ¤ |
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Because the 4th row is incomplete, we return 3. |