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一刷1496
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‎README.adoc

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@@ -10498,12 +10498,12 @@ TIP: **公众号的微信号是: `jikerizhi`**。__因为众所周知的原因
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//|Easy
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//|
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//|{counter:codes}
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//|{leetcode_base_url}/path-crossing/[1496. Path Crossing^]
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//|{source_base_url}/_1496_PathCrossing.java[Java]
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//|{doc_base_url}/1496-path-crossing.adoc[题解]
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//|Easy
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//|
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|{counter:codes}
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|{leetcode_base_url}/path-crossing/[1496. Path Crossing^]
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|{source_base_url}/_1496_PathCrossing.java[Java]
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|{doc_base_url}/1496-path-crossing.adoc[题解]
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|Easy
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|
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//|{counter:codes}
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//|{leetcode_base_url}/check-if-array-pairs-are-divisible-by-k/[1497. Check If Array Pairs Are Divisible by k^]

‎docs/1496-path-crossing.adoc

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[#1496-path-crossing]
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= 1496. Path Crossing
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= 1496. 判断路径是否相交
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{leetcode}/problems/path-crossing/[LeetCode - 1496. Path Crossing ^]
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https://leetcode.cn/problems/path-crossing/[LeetCode - 1496. 判断路径是否相交 ^]
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Given a string `path`, where `path[i] = 'N'`, `'S'`, `'E'` or `'W'`, each representing moving one unit north, south, east, or west, respectively. You start at the origin `(0, 0)` on a 2D plane and walk on the path specified by `path`.
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给你一个字符串 `path`，其中 `path[i]` 的值可以是 `N`、`S`、`E` 或者 `W`，分别表示向北、向南、向东、向西移动一个单位。
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Return `true` _if the path crosses itself at any point, that is, if at any time you are on a location you have previously visited_. Return `false` otherwise.
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你从二维平面上的原点 `(0, 0)` 处开始出发，按 `path` 所指示的路径行走。
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*Example 1:*
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<img alt="" src="https://assets.leetcode.com/uploads/2020/06/10/screen-shot-2020-06-10-at-123929-pm.png" style="width: 400px; height: 358px;" />
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[subs="verbatim,quotes"]
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----
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*Input:* path = "NES"
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*Output:* false
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*Explanation:* Notice that the path doesn't cross any point more than once.
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如果路径在任何位置上与自身相交，也就是走到之前已经走过的位置，请返回 `true` ；否则，返回 `false` 。
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----
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*示例 1：*
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*Example 2:*
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<img alt="" src="https://assets.leetcode.com/uploads/2020/06/10/screen-shot-2020-06-10-at-123843-pm.png" style="width: 400px; height: 339px;" />
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[subs="verbatim,quotes"]
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----
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*Input:* path = "NESWW"
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*Output:* true
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*Explanation:* Notice that the path visits the origin twice.
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----
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image::images/1496-01.png[{image_attr}]
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*Constraints:*
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....
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输入：path = "NES"
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输出：false
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解释：该路径没有在任何位置相交。
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....
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*示例 2：*
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* `1 <= path.length <= 10^4^`
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* `path[i]` is either `'N'`, `'S'`, `'E'`, or `'W'`.
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image::images/1496-02.png[{image_attr}]
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....
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输入：path = "NESWW"
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输出：true
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解释：该路径经过原点两次。
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....
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*提示：*
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* `1 \<= path.length \<= 10^4^`
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* `path[i]` 为 `N`、`S`、`E` 或 `W`
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== 思路分析
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想找个巧办法，结果失败！还是用记录轨迹的办法搞定了。
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因为题目要求 `1 \<= path.length \<= 10^4^`，那么 `x` 和 `y` 的值，最大不会超过 `10^4^`，直接讲 `(x, y)` 转换成 `x * 10000 + y` 一个数字来作为坐标即可。
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[[src-1496]]
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[tabs]

‎docs/images/1496-01.png

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‎docs/images/1496-02.png

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‎docs/index.adoc

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// include::1495-friendly-movies-streamed-last-month.adoc[leveloffset=+1]
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// include::1496-path-crossing.adoc[leveloffset=+1]
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include::1496-path-crossing.adoc[leveloffset=+1]
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// include::1497-check-if-array-pairs-are-divisible-by-k.adoc[leveloffset=+1]
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‎logbook/202503.adoc

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|{doc_base_url}/1387-sort-integers-by-the-power-value.adoc[题解]
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|✅ 先计算每个数字的权重，再进行比较：使用集合存储下标，通过下标找到对应的权重。计算权重时，可以递归，也可以直接循环。使用递归时，可以使用备忘录把已经计算的值存储起来，防止重复计算。
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|{counter:codes2503}
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|{leetcode_base_url}/path-crossing/[1496. 判断路径是否相交^]
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|{doc_base_url}/1496-path-crossing.adoc[题解]
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|✅ 想找个巧办法，结果失败！还是用记录轨迹的办法搞定了。
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|===
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截止目前，本轮练习一共完成 {codes2503} 道题。

‎pom.xml

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</dependency>
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</dependencies>
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</plugin>
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<plugin>
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<groupId>org.codehaus.mojo</groupId>
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<artifactId>exec-maven-plugin</artifactId>
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<version>${exec-maven-plugin.version}</version>
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<executions>
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<execution>
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<id>install-fonts-and-generate-config-file</id>
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<phase>generate-sources</phase>
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<goals>
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<goal>exec</goal>
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</goals>
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<configuration>
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<executable>${project.basedir}/cfg/scripts/install-fonts.sh</executable>
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<!-- <commandlineArgs>Args</commandlineArgs> -->
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</configuration>
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</execution>
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</executions>
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</plugin>
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<plugin>
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<!-- 3.2.0 依赖 jruby 9.4.8.0/9.4.12.0 -->
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<groupId>org.asciidoctor</groupId>
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<sourceDirectory>docs</sourceDirectory>
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<sourceDocumentName>index.adoc</sourceDocumentName>
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<attributes>
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<project_basedir>${maven.multiModuleProjectDirectory}</project_basedir>
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<sourcedir>${project.build.sourceDirectory}/com/diguage/yongle</sourcedir>
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<sourcedir>${project.build.sourceDirectory}/com/diguage/algo/leetcode</sourcedir>
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<labdir>${project.build.testSourceDirectory}/com/diguage/labs</labdir>
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<basedir>${project.basedir}</basedir>
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<doctype>book</doctype>
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<stem>latexmath</stem>
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<linkcss>true</linkcss>
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<stylesdir>assets/styles</stylesdir>
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<toc/>
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<toclevels>3</toclevels>
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<sectnums>true</sectnums>
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<toclevels>1</toclevels>
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<!-- <sectnums>false</sectnums>-->
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<graphvizdot>/usr/local/bin/dot</graphvizdot>
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<project_basedir>${project.basedir}</project_basedir>
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<source_attr>linenums,indent=0,subs="attributes,verbatim,quotes"</source_attr>
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<java_src_attr>source%nowrap,java,{source_attr}</java_src_attr>
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<java_src_attr>source%nowrap,java,linenums,indent=0,subs="attributes,verbatim"</java_src_attr>
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<html_src_attr>source%nowrap,html,{source_attr}</html_src_attr>
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<image_attr>align="center",width=95%</image_attr>
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<diagram_attr>format=svg,align="center",width=95%</diagram_attr>
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<plantumlconfig>${project.basedir}/cfg/plantuml.cfg</plantumlconfig>
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<toc-title>目录</toc-title>
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<iconfont-cdn>//cdn.jsdelivr.net/npm/font-awesome@4.7.0/css/font-awesome.min.css</iconfont-cdn>
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<doc_base_url>xref:.</doc_base_url>
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<leetcode>https://leetcode.cn</leetcode>
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<leetcode_base_url>https://leetcode.cn/problems</leetcode_base_url>
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</configuration>
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</configuration>
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</execution>
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<phase>package</phase>
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<goals>
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</goals>
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<configuration>
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<doctype>book</doctype>
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<outputDirectory>${project.build.directory}/docs/html</outputDirectory>
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<attributes>
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<toc>left</toc>
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</attributes>
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<gemPath>${gem.path}</gemPath>
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<requires>
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<require>asciidoctor-comment-links</require>
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</requires>
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</configuration>
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</execution>
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<!-- <execution>-->
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<!-- <id>generate-html</id>-->
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<!-- <phase>package</phase>-->
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<!-- <goals>-->
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<!-- <goal>process-asciidoc</goal>-->
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<!-- </goals>-->
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<!-- <configuration>-->
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<!-- <backend>html5</backend>-->
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<!-- <doctype>book</doctype>-->
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<!-- <outputDirectory>${project.build.directory}/docs/html</outputDirectory>-->
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<!-- <attributes>-->
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<!-- <toc>left</toc>-->
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<!-- <gemPath>${gem.path}</gemPath>-->
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<!-- <requires>-->
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<!-- <require>asciidoctor-diagram</require>-->
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<!-- </execution>-->
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</dependency>
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‎src/main/java/com/diguage/algo/leetcode/_1496_PathCrossing.java

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package com.diguage.algo.leetcode;
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import java.util.HashSet;
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import java.util.Set;
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public class _1496_PathCrossing {
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// tag::answer[]
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/**
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* @author D瓜哥 · https://www.diguage.com
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* @since 2025-05-27 20:32:05
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*/
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public boolean isPathCrossing(String path) {
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int x = 0, y = 0;
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Set<Integer> visited = new HashSet<>();
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visited.add(0);
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for (int i = 0; i < path.length(); i++) {
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char c = path.charAt(i);
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if (c == 'N') {
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y++;
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} else if (c == 'S') {
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y--;
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} else if (c == 'E') {
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x++;
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} else if (c == 'W') {
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x--;
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}
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int point = x * 10000 + y;
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if (visited.contains(point)) {
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return true;
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} else {
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visited.add(point);
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}
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}
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return false;
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}
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// end::answer[]
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}

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