mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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163 lines
14 KiB
JSON
163 lines
14 KiB
JSON
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"title": "N-th Tribonacci Number",
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"content": "<p>The Tribonacci sequence T<sub>n</sub> is defined as follows: </p>\r\n\r\n<p>T<sub>0</sub> = 0, T<sub>1</sub> = 1, T<sub>2</sub> = 1, and T<sub>n+3</sub> = T<sub>n</sub> + T<sub>n+1</sub> + T<sub>n+2</sub> for n >= 0.</p>\r\n\r\n<p>Given <code>n</code>, return the value of T<sub>n</sub>.</p>\r\n\r\n<p> </p>\r\n<p><strong>Example 1:</strong></p>\r\n\r\n<pre>\r\n<strong>Input:</strong> n = 4\r\n<strong>Output:</strong> 4\r\n<strong>Explanation:</strong>\r\nT_3 = 0 + 1 + 1 = 2\r\nT_4 = 1 + 1 + 2 = 4\r\n</pre>\r\n\r\n<p><strong>Example 2:</strong></p>\r\n\r\n<pre>\r\n<strong>Input:</strong> n = 25\r\n<strong>Output:</strong> 1389537\r\n</pre>\r\n\r\n<p> </p>\r\n<p><strong>Constraints:</strong></p>\r\n\r\n<ul>\r\n\t<li><code>0 <= n <= 37</code></li>\r\n\t<li>The answer is guaranteed to fit within a 32-bit integer, ie. <code>answer <= 2^31 - 1</code>.</li>\r\n</ul>",
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"Make an array F of length 38, and set F[0] = 0, F[1] = F[2] = 1.",
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"Now write a loop where you set F[n+3] = F[n] + F[n+1] + F[n+2], and return F[n]."
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