494:目标和
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src/main/java/leetcode/editor/cn/TargetSum.java
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src/main/java/leetcode/editor/cn/TargetSum.java
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//给你一个整数数组 nums 和一个整数 target 。
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//
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// 向数组中的每个整数前添加 '+' 或 '-' ,然后串联起所有整数,可以构造一个 表达式 :
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//
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//
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// 例如,nums = [2, 1] ,可以在 2 之前添加 '+' ,在 1 之前添加 '-' ,然后串联起来得到表达式 "+2-1" 。
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//
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//
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// 返回可以通过上述方法构造的、运算结果等于 target 的不同 表达式 的数目。
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//
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//
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//
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// 示例 1:
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//
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//
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//输入:nums = [1,1,1,1,1], target = 3
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//输出:5
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//解释:一共有 5 种方法让最终目标和为 3 。
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//-1 + 1 + 1 + 1 + 1 = 3
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//+1 - 1 + 1 + 1 + 1 = 3
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//+1 + 1 - 1 + 1 + 1 = 3
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//+1 + 1 + 1 - 1 + 1 = 3
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//+1 + 1 + 1 + 1 - 1 = 3
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//
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//
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// 示例 2:
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//
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//
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//输入:nums = [1], target = 1
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//输出:1
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//
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//
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//
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//
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// 提示:
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//
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//
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// 1 <= nums.length <= 20
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// 0 <= nums[i] <= 1000
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// 0 <= sum(nums[i]) <= 1000
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// -1000 <= target <= 100
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//
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// Related Topics 深度优先搜索 动态规划
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// 👍 718 👎 0
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package leetcode.editor.cn;
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//494:目标和
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public class TargetSum {
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public static void main(String[] args) {
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//测试代码
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Solution solution = new TargetSum().new Solution();
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// System.out.println(solution.findTargetSumWays(new int[]{1, 1, 1, 1, 1}, 3));
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System.out.println(solution.findTargetSumWays(new int[]{1}, 1));
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}
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//力扣代码
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//leetcode submit region begin(Prohibit modification and deletion)
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class Solution {
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int count = 0;
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public int findTargetSumWays(int[] nums, int target) {
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sum(nums, target, nums.length - 1);
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return count;
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}
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private void sum(int[] nums, int target, int index) {
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if (index == -1) {
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if (target == 0) {
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count++;
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}
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} else {
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sum(nums, target + nums[index], index - 1);
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sum(nums, target - nums[index], index - 1);
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}
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}
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}
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//leetcode submit region end(Prohibit modification and deletion)
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}
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src/main/java/leetcode/editor/cn/TargetSum.md
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src/main/java/leetcode/editor/cn/TargetSum.md
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<p>给你一个整数数组 <code>nums</code> 和一个整数 <code>target</code> 。</p>
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<p>向数组中的每个整数前添加 <code>'+'</code> 或 <code>'-'</code> ,然后串联起所有整数,可以构造一个 <strong>表达式</strong> :</p>
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<ul>
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<li>例如,<code>nums = [2, 1]</code> ,可以在 <code>2</code> 之前添加 <code>'+'</code> ,在 <code>1</code> 之前添加 <code>'-'</code> ,然后串联起来得到表达式 <code>"+2-1"</code> 。</li>
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</ul>
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<p>返回可以通过上述方法构造的、运算结果等于 <code>target</code> 的不同 <strong>表达式</strong> 的数目。</p>
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<p> </p>
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<p><strong>示例 1:</strong></p>
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<pre>
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<strong>输入:</strong>nums = [1,1,1,1,1], target = 3
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<strong>输出:</strong>5
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<strong>解释:</strong>一共有 5 种方法让最终目标和为 3 。
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-1 + 1 + 1 + 1 + 1 = 3
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+1 - 1 + 1 + 1 + 1 = 3
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+1 + 1 - 1 + 1 + 1 = 3
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+1 + 1 + 1 - 1 + 1 = 3
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+1 + 1 + 1 + 1 - 1 = 3
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</pre>
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<p><strong>示例 2:</strong></p>
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<pre>
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<strong>输入:</strong>nums = [1], target = 1
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<strong>输出:</strong>1
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</pre>
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<p> </p>
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<p><strong>提示:</strong></p>
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<ul>
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<li><code>1 <= nums.length <= 20</code></li>
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<li><code>0 <= nums[i] <= 1000</code></li>
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<li><code>0 <= sum(nums[i]) <= 1000</code></li>
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<li><code>-1000 <= target <= 100</code></li>
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</ul>
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<div><div>Related Topics</div><div><li>深度优先搜索</li><li>动态规划</li></div></div>\n<div><li>👍 718</li><li>👎 0</li></div>
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