diff --git a/src/main/java/leetcode/editor/cn/LongestArithmeticSubsequence.java b/src/main/java/leetcode/editor/cn/LongestArithmeticSubsequence.java new file mode 100644 index 0000000..4ccd36e --- /dev/null +++ b/src/main/java/leetcode/editor/cn/LongestArithmeticSubsequence.java @@ -0,0 +1,80 @@ +//给定一个整数数组 A,返回 A 中最长等差子序列的长度。 +// +// 回想一下,A 的子序列是列表 A[i_1], A[i_2], ..., A[i_k] 其中 0 <= i_1 < i_2 < ... < i_k <= A +//.length - 1。并且如果 B[i+1] - B[i]( 0 <= i < B.length - 1) 的值都相同,那么序列 B 是等差的。 +// +// +// +// 示例 1: +// +// 输入:[3,6,9,12] +//输出:4 +//解释: +//整个数组是公差为 3 的等差数列。 +// +// +// 示例 2: +// +// 输入:[9,4,7,2,10] +//输出:3 +//解释: +//最长的等差子序列是 [4,7,10]。 +// +// +// 示例 3: +// +// 输入:[20,1,15,3,10,5,8] +//输出:4 +//解释: +//最长的等差子序列是 [20,15,10,5]。 +// +// +// +// +// 提示: +// +// +// 2 <= A.length <= 2000 +// 0 <= A[i] <= 10000 +// +// Related Topics 数组 哈希表 二分查找 动态规划 +// 👍 144 👎 0 + +package leetcode.editor.cn; + +import java.util.Arrays; + +//1027:最长等差数列 +class LongestArithmeticSubsequence { + public static void main(String[] args) { + //测试代码 + Solution solution = new LongestArithmeticSubsequence().new Solution(); + } + + //力扣代码 + //leetcode submit region begin(Prohibit modification and deletion) + class Solution { + public int longestArithSeqLength(int[] nums) { + int max = 0; + for (int num : nums) { + max = Math.max(max, num); + } + int[][] dp = new int[nums.length][max*2+1]; + for (int[] t:dp){ + Arrays.fill(t,-1); + } + + int result = 2; + for (int i = 0; i < nums.length; i++) { + for (int j = 0; j < i; j++) { + int index = nums[i]-nums[j]+max; + dp[i][index]=Math.max(2,dp[j][index]+1); + result = Math.max(result,dp[i][index]); + } + } + return result; + } + } +//leetcode submit region end(Prohibit modification and deletion) + +} \ No newline at end of file diff --git a/src/main/java/leetcode/editor/cn/LongestArithmeticSubsequence.md b/src/main/java/leetcode/editor/cn/LongestArithmeticSubsequence.md new file mode 100644 index 0000000..4f32908 --- /dev/null +++ b/src/main/java/leetcode/editor/cn/LongestArithmeticSubsequence.md @@ -0,0 +1,39 @@ +<p>给定一个整数数组 <code>A</code>,返回 <code>A</code> 中最长等差子序列的<strong>长度</strong>。</p> + +<p>回想一下,<code>A</code> 的子序列是列表 <code>A[i_1], A[i_2], ..., A[i_k]</code> 其中 <code>0 <= i_1 < i_2 < ... < i_k <= A.length - 1</code>。并且如果 <code>B[i+1] - B[i]</code>( <code>0 <= i < B.length - 1</code>) 的值都相同,那么序列 <code>B</code> 是等差的。</p> + +<p> </p> + +<p><strong>示例 1:</strong></p> + +<pre><strong>输入:</strong>[3,6,9,12] +<strong>输出:</strong>4 +<strong>解释: </strong> +整个数组是公差为 3 的等差数列。 +</pre> + +<p><strong>示例 2:</strong></p> + +<pre><strong>输入:</strong>[9,4,7,2,10] +<strong>输出:</strong>3 +<strong>解释:</strong> +最长的等差子序列是 [4,7,10]。 +</pre> + +<p><strong>示例 3:</strong></p> + +<pre><strong>输入:</strong>[20,1,15,3,10,5,8] +<strong>输出:</strong>4 +<strong>解释:</strong> +最长的等差子序列是 [20,15,10,5]。 +</pre> + +<p> </p> + +<p><strong>提示:</strong></p> + +<ol> + <li><code>2 <= A.length <= 2000</code></li> + <li><code>0 <= A[i] <= 10000</code></li> +</ol> +<div><div>Related Topics</div><div><li>数组</li><li>哈希表</li><li>二分查找</li><li>动态规划</li></div></div>\n<div><li>👍 144</li><li>👎 0</li></div> \ No newline at end of file