Leetcde-931. Minimum Falling Path Sum

本文介绍了一种解决LeetCode上最小下降路径和问题的方法。通过遍历矩阵,从第二行开始,对于每一行的每个元素,寻找上方两到三个元素中的最小值并累加。边界条件特别考虑了最左侧和最右侧的元素只能搜索两个元素的情况。

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Original link: https://leetcode.com/problems/minimum-falling-path-sum/

For elements in the second line and below, we can search the upper two or three elements and add the minimum value.
Boundary condition: elements in the most left and the most right. They can only search for two elements.

Code:

class Solution(object):
    def minFallingPathSum(self, A):
        """
        :type A: List[List[int]]
        :rtype: int
        """
        
        for r in range(1, len(A)):
            
            A[r][0] += min(A[r-1][0], A[r-1][1])
            
            for c in range(1, len(A[r]) - 1):
                
                A[r][c] += min(A[r-1][c-1:c+2])

            A[r][-1] += min(A[r-1][-2], A[r-1][-1])
        
        return min(A[-1])
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E:\jdk17\bin\java.exe -XX:TieredStopAtLevel=1 -Dspring.output.ansi.enabled=always -Dcom.sun.management.jmxremote -Dspring.jmx.enabled=true -Dspring.liveBeansView.mbeanDomain -Dspring.application.admin.enabled=true "-javaagent:E:\Java Web\IntelliJ IDEA 2023.3.1\lib\idea_rt.jar=54988:E:\Java Web\IntelliJ IDEA 2023.3.1\bin" -Dfile.encoding=UTF-8 -classpath "E:\web projects\StuInfoSystem-master\target\classes;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\webjars\bootstrap\4.0.0\bootstrap-4.0.0.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\webjars\npm\popper.js\1.11.1\popper.js-1.11.1.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\webjars\jquery\3.3.1\jquery-3.3.1.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\springframework\boot\spring-boot-starter-jdbc\1.5.10.RELEASE\spring-boot-starter-jdbc-1.5.10.RELEASE.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\springframework\boot\spring-boot-starter\1.5.10.RELEASE\spring-boot-starter-1.5.10.RELEASE.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\springframework\boot\spring-boot\1.5.10.RELEASE\spring-boot-1.5.10.RELEASE.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\springframework\boot\spring-boot-autoconfigure\1.5.10.RELEASE\spring-boot-autoconfigure-1.5.10.RELEASE.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\springframework\boot\spring-boot-starter-logging\1.5.10.RELEASE\spring-boot-starter-logging-1.5.10.RELEASE.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\ch\qos\logback\logback-classic\1.1.11\logback-classic-1.1.11.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\ch\qos\logback\logback-core\1.1.11\logback-core-1.1.11.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\slf4j\jcl-over-slf4j\1.7.25\jcl-over-slf4j-1.7.25.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\slf4j\jul-to-slf4j\1.7.25\jul-to-slf4j-1.7.25.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\slf4j\log4j-over-slf4j\1.7.25\log4j-over-slf4j-1.7.25.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\yaml\snakeyaml\1.17\snakeyaml-1.17.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\apache\tomcat\tomcat-jdbc\8.5.27\tomcat-jdbc-8.5.27.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\apache\tomcat\tomcat-juli\8.5.27\tomcat-juli-8.5.27.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\springframework\spring-jdbc\4.3.14.RELEASE\spring-jdbc-4.3.14.RELEASE.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\springframework\spring-beans\4.3.14.RELEASE\spring-beans-4.3.14.RELEASE.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\springframework\spring-tx\4.3.14.RELEASE\spring-tx-4.3.14.RELEASE.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\mysql\mysql-connector-java\8.0.11\mysql-connector-java-8.0.11.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\com\google\protobuf\protobuf-java\2.6.0\protobuf-java-2.6.0.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\springframework\boot\spring-boot-starter-thymeleaf\1.5.10.RELEASE\spring-boot-starter-thymeleaf-1.5.10.RELEASE.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\thymeleaf\thymeleaf-spring4\3.0.9.RELEASE\thymeleaf-spring4-3.0.9.RELEASE.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\thymeleaf\thymeleaf\3.0.9.RELEASE\thymeleaf-3.0.9.RELEASE.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\attoparser\attoparser\2.0.4.RELEASE\attoparser-2.0.4.RELEASE.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\unbescape\unbescape\1.1.5.RELEASE\unbescape-1.1.5.RELEASE.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\slf4j\slf4j-api\1.7.25\slf4j-api-1.7.25.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\nz\net\ultraq\thymeleaf\thymeleaf-layout-dialect\2.2.2\thymeleaf-layout-dialect-2.2.2.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\nz\net\ultraq\thymeleaf\thymeleaf-expression-processor\1.1.3\thymeleaf-expression-processor-1.1.3.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\codehaus\groovy\groovy\2.4.13\groovy-2.4.13.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\com\alibaba\druid\1.1.8\druid-1.1.8.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\net\minidev\json-smart\2.2.1\json-smart-2.2.1.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\net\minidev\accessors-smart\1.1\accessors-smart-1.1.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\ow2\asm\asm\5.0.3\asm-5.0.3.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\springframework\boot\spring-boot-starter-web\1.5.10.RELEASE\spring-boot-starter-web-1.5.10.RELEASE.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\hibernate\hibernate-validator\5.3.6.Final\hibernate-validator-5.3.6.Final.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\javax\validation\validation-api\1.1.0.Final\validation-api-1.1.0.Final.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\jboss\logging\jboss-logging\3.3.1.Final\jboss-logging-3.3.1.Final.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\com\fasterxml\classmate\1.3.4\classmate-1.3.4.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\com\fasterxml\jackson\core\jackson-databind\2.8.10\jackson-databind-2.8.10.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\com\fasterxml\jackson\core\jackson-annotations\2.8.0\jackson-annotations-2.8.0.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\com\fasterxml\jackson\core\jackson-core\2.8.10\jackson-core-2.8.10.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\springframework\spring-web\4.3.14.RELEASE\spring-web-4.3.14.RELEASE.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\springframework\spring-aop\4.3.14.RELEASE\spring-aop-4.3.14.RELEASE.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\springframework\spring-context\4.3.14.RELEASE\spring-context-4.3.14.RELEASE.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\springframework\spring-webmvc\4.3.14.RELEASE\spring-webmvc-4.3.14.RELEASE.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\mybatis\spring\boot\mybatis-spring-boot-starter\1.3.1\mybatis-spring-boot-starter-1.3.1.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\mybatis\spring\boot\mybatis-spring-boot-autoconfigure\1.3.1\mybatis-spring-boot-autoconfigure-1.3.1.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\mybatis\mybatis\3.4.5\mybatis-3.4.5.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\mybatis\mybatis-spring\1.3.1\mybatis-spring-1.3.1.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\springframework\boot\spring-boot-starter-tomcat\1.5.10.RELEASE\spring-boot-starter-tomcat-1.5.10.RELEASE.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\apache\tomcat\embed\tomcat-embed-core\8.5.27\tomcat-embed-core-8.5.27.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\apache\tomcat\tomcat-annotations-api\8.5.27\tomcat-annotations-api-8.5.27.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\apache\tomcat\embed\tomcat-embed-el\8.5.27\tomcat-embed-el-8.5.27.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\apache\tomcat\embed\tomcat-embed-websocket\8.5.27\tomcat-embed-websocket-8.5.27.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\hamcrest\hamcrest-core\1.3\hamcrest-core-1.3.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\springframework\spring-core\4.3.14.RELEASE\spring-core-4.3.14.RELEASE.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\junit\junit\4.12\junit-4.12.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\springframework\boot\spring-boot-configuration-processor\1.5.10.RELEASE\spring-boot-configuration-processor-1.5.10.RELEASE.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\apache\ibatis\ibatis-core\3.0\ibatis-core-3.0.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\javax\servlet\javax.servlet-api\3.1.0\javax.servlet-api-3.1.0.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\org\springframework\spring-expression\4.3.16.RELEASE\spring-expression-4.3.16.RELEASE.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\com\github\pagehelper\pagehelper-spring-boot-starter\1.2.10\pagehelper-spring-boot-starter-1.2.10.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\com\github\pagehelper\pagehelper-spring-boot-autoconfigure\1.2.10\pagehelper-spring-boot-autoconfigure-1.2.10.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\com\github\pagehelper\pagehelper\5.1.8\pagehelper-5.1.8.jar;E:\Java Web\javawebb\maven\apache-maven-3.9.9\maven-repo\com\github\jsqlparser\jsqlparser\1.2\jsqlparser-1.2.jar" com.lc.demo.DemoApplication . ____ _ __ _ _ /\\ / ___'_ __ _ _(_)_ __ __ _ \ \ \ \ ( ( )\___ | '_ | '_| | '_ \/ _` | \ \ \ \ \\/ ___)| |_)| | | | | || (_| | ) ) ) ) ' |____| .__|_| |_|_| |_\__, | / / / / =========|_|==============|___/=/_/_/_/ :: Spring Boot :: (v1.5.10.RELEASE) 2025-06-16 21:30:29.153 INFO 27400 --- [ main] com.lc.demo.DemoApplication : Starting DemoApplication on Cui with PID 27400 (started by 19811 in E:\web projects\StuInfoSystem-master) 2025-06-16 21:30:29.159 INFO 27400 --- [ main] com.lc.demo.DemoApplication : No active profile set, falling back to default profiles: default 2025-06-16 21:30:29.441 INFO 27400 --- [ main] ationConfigEmbeddedWebApplicationContext : Refreshing org.springframework.boot.context.embedded.AnnotationConfigEmbeddedWebApplicationContext@5a9f4771: startup date [Mon Jun 16 21:30:29 CST 2025]; root of context hierarchy 2025-06-16 21:30:30.143 ERROR 27400 --- [ main] o.s.boot.SpringApplication : Application startup failed java.lang.IllegalStateException: Cannot load configuration class: com.lc.demo.DemoApplication at org.springframework.context.annotation.ConfigurationClassPostProcessor.enhanceConfigurationClasses(ConfigurationClassPostProcessor.java:403) ~[spring-context-4.3.14.RELEASE.jar:4.3.14.RELEASE] at org.springframework.context.annotation.ConfigurationClassPostProcessor.postProcessBeanFactory(ConfigurationClassPostProcessor.java:249) ~[spring-context-4.3.14.RELEASE.jar:4.3.14.RELEASE] at org.springframework.context.support.PostProcessorRegistrationDelegate.invokeBeanFactoryPostProcessors(PostProcessorRegistrationDelegate.java:283) ~[spring-context-4.3.14.RELEASE.jar:4.3.14.RELEASE] at org.springframework.context.support.PostProcessorRegistrationDelegate.invokeBeanFactoryPostProcessors(PostProcessorRegistrationDelegate.java:127) ~[spring-context-4.3.14.RELEASE.jar:4.3.14.RELEASE] at org.springframework.context.support.AbstractApplicationContext.invokeBeanFactoryPostProcessors(AbstractApplicationContext.java:687) ~[spring-context-4.3.14.RELEASE.jar:4.3.14.RELEASE] at org.springframework.context.support.AbstractApplicationContext.refresh(AbstractApplicationContext.java:525) ~[spring-context-4.3.14.RELEASE.jar:4.3.14.RELEASE] at org.springframework.boot.context.embedded.EmbeddedWebApplicationContext.refresh(EmbeddedWebApplicationContext.java:122) ~[spring-boot-1.5.10.RELEASE.jar:1.5.10.RELEASE] at org.springframework.boot.SpringApplication.refresh(SpringApplication.java:693) ~[spring-boot-1.5.10.RELEASE.jar:1.5.10.RELEASE] at org.springframework.boot.SpringApplication.refreshContext(SpringApplication.java:360) ~[spring-boot-1.5.10.RELEASE.jar:1.5.10.RELEASE] at org.springframework.boot.SpringApplication.run(SpringApplication.java:303) ~[spring-boot-1.5.10.RELEASE.jar:1.5.10.RELEASE] at org.springframework.boot.SpringApplication.run(SpringApplication.java:1118) ~[spring-boot-1.5.10.RELEASE.jar:1.5.10.RELEASE] at org.springframework.boot.SpringApplication.run(SpringApplication.java:1107) ~[spring-boot-1.5.10.RELEASE.jar:1.5.10.RELEASE] at com.lc.demo.DemoApplication.main(DemoApplication.java:12) ~[classes/:na] Caused by: java.lang.ExceptionInInitializerError: null at org.springframework.context.annotation.ConfigurationClassEnhancer.newEnhancer(ConfigurationClassEnhancer.java:122) ~[spring-context-4.3.14.RELEASE.jar:4.3.14.RELEASE] at org.springframework.context.annotation.ConfigurationClassEnhancer.enhance(ConfigurationClassEnhancer.java:110) ~[spring-context-4.3.14.RELEASE.jar:4.3.14.RELEASE] at org.springframework.context.annotation.ConfigurationClassPostProcessor.enhanceConfigurationClasses(ConfigurationClassPostProcessor.java:393) ~[spring-context-4.3.14.RELEASE.jar:4.3.14.RELEASE] ... 12 common frames omitted Caused by: org.springframework.cglib.core.CodeGenerationException: java.lang.reflect.InaccessibleObjectException-->Unable to make protected final java.lang.Class java.lang.ClassLoader.defineClass(java.lang.String,byte[],int,int,java.security.ProtectionDomain) throws java.lang.ClassFormatError accessible: module java.base does not "opens java.lang" to unnamed module @59309333 at org.springframework.cglib.core.ReflectUtils.defineClass(ReflectUtils.java:464) ~[spring-core-4.3.14.RELEASE.jar:4.3.14.RELEASE] at org.springframework.cglib.core.AbstractClassGenerator.generate(AbstractClassGenerator.java:336) ~[spring-core-4.3.14.RELEASE.jar:4.3.14.RELEASE] at org.springframework.cglib.core.AbstractClassGenerator$ClassLoaderData$3.apply(AbstractClassGenerator.java:93) ~[spring-core-4.3.14.RELEASE.jar:4.3.14.RELEASE] at org.springframework.cglib.core.AbstractClassGenerator$ClassLoaderData$3.apply(AbstractClassGenerator.java:91) ~[spring-core-4.3.14.RELEASE.jar:4.3.14.RELEASE] at org.springframework.cglib.core.internal.LoadingCache$2.call(LoadingCache.java:54) ~[spring-core-4.3.14.RELEASE.jar:4.3.14.RELEASE] at java.base/java.util.concurrent.FutureTask.run(FutureTask.java:264) ~[na:na] at org.springframework.cglib.core.internal.LoadingCache.createEntry(LoadingCache.java:61) ~[spring-core-4.3.14.RELEASE.jar:4.3.14.RELEASE] at org.springframework.cglib.core.internal.LoadingCache.get(LoadingCache.java:34) ~[spring-core-4.3.14.RELEASE.jar:4.3.14.RELEASE] at org.springframework.cglib.core.AbstractClassGenerator$ClassLoaderData.get(AbstractClassGenerator.java:116) ~[spring-core-4.3.14.RELEASE.jar:4.3.14.RELEASE] at org.springframework.cglib.core.AbstractClassGenerator.create(AbstractClassGenerator.java:291) ~[spring-core-4.3.14.RELEASE.jar:4.3.14.RELEASE] at org.springframework.cglib.core.KeyFactory$Generator.create(KeyFactory.java:221) ~[spring-core-4.3.14.RELEASE.jar:4.3.14.RELEASE] at org.springframework.cglib.core.KeyFactory.create(KeyFactory.java:174) ~[spring-core-4.3.14.RELEASE.jar:4.3.14.RELEASE] at org.springframework.cglib.core.KeyFactory.create(KeyFactory.java:153) ~[spring-core-4.3.14.RELEASE.jar:4.3.14.RELEASE] at org.springframework.cglib.proxy.Enhancer.<clinit>(Enhancer.java:73) ~[spring-core-4.3.14.RELEASE.jar:4.3.14.RELEASE] ... 15 common frames omitted Caused by: java.lang.reflect.InaccessibleObjectException: Unable to make protected final java.lang.Class java.lang.ClassLoader.defineClass(java.lang.String,byte[],int,int,java.security.ProtectionDomain) throws java.lang.ClassFormatError accessible: module java.base does not "opens java.lang" to unnamed module @59309333 at java.base/java.lang.reflect.AccessibleObject.checkCanSetAccessible(AccessibleObject.java:354) ~[na:na] at java.base/java.lang.reflect.AccessibleObject.checkCanSetAccessible(AccessibleObject.java:297) ~[na:na] at java.base/java.lang.reflect.Method.checkCanSetAccessible(Method.java:199) ~[na:na] at java.base/java.lang.reflect.Method.setAccessible(Method.java:193) ~[na:na] at org.springframework.cglib.core.ReflectUtils$1.run(ReflectUtils.java:61) ~[spring-core-4.3.14.RELEASE.jar:4.3.14.RELEASE] at java.base/java.security.AccessController.doPrivileged(AccessController.java:569) ~[na:na] at org.springframework.cglib.core.ReflectUtils.<clinit>(ReflectUtils.java:52) ~[spring-core-4.3.14.RELEASE.jar:4.3.14.RELEASE] at org.springframework.cglib.core.KeyFactory$Generator.generateClass(KeyFactory.java:243) ~[spring-core-4.3.14.RELEASE.jar:4.3.14.RELEASE] at org.springframework.cglib.core.DefaultGeneratorStrategy.generate(DefaultGeneratorStrategy.java:25) ~[spring-core-4.3.14.RELEASE.jar:4.3.14.RELEASE] at org.springframework.cglib.core.AbstractClassGenerator.generate(AbstractClassGenerator.java:329) ~[spring-core-4.3.14.RELEASE.jar:4.3.14.RELEASE] ... 27 common frames omitted 2025-06-16 21:30:30.144 INFO 27400 --- [ main] ationConfigEmbeddedWebApplicationContext : Closing org.springframework.boot.context.embedded.AnnotationConfigEmbeddedWebApplicationContext@5a9f4771: startup date [Mon Jun 16 21:30:29 CST 2025]; root of context hierarchy 进程已结束,退出代码为 1
06-17
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