给定一个包含非负整数的MxN网格，请找出一条从左上角到右下角的路径，使得路径的数字总和最小，并显示其路径。

共76个文件

qml：14个

png：9个

xml：8个

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在IT领域，尤其是在算法设计和编程实践中，解决特定问题时常会用到各种策略。这个问题——在MxN网格中寻找从左上角到右下角的最小数字总和路径，是一个经典的动态规划问题，同时也涉及到了递归的思想。让我们深入探讨一下这个话题。我们需要理解动态规划的基本概念。动态规划是一种解决最优化问题的方法，它通过将大问题分解为子问题，然后逐步求解，最终得到原问题的最优解。在这个问题中，我们可以将网格中的每个单元格看作是子问题，目标是找到一条路径，使得路径经过的所有单元格数值之和最小。接着，我们来讨论博图SCL算法。SCL（Structured Control Language）是一种用于编程PLC（可编程逻辑控制器）的高级语言，通常用于工业自动化系统。在这个问题中，SCL算法可能指的是使用SCL语言来实现动态规划或者递归的解决方案。尽管SCL并非专门用于解决这类数学问题，但通过函数和方法的巧妙运用，我们可以编写出计算最小路径和的程序。在使用递归解决复杂问题时，我们需要定义一个递归函数，该函数接受当前单元格的位置作为参数，并返回到达目标位置的最小路径和。递归函数的基本思想是，对于每个单元格，我们只考虑向右或向下移动，因为这是达到目标的唯一方式。我们可以维护两个维度的状态数组，分别存储到达每个位置的最小路径和以及对应的路径选择（向右还是向下）。为了显示路径上每一个位置节点的信息，我们需要在递归函数中记录每一步的选择。当到达目标位置时，我们可以沿着记录的路径逆向遍历，从而获取完整的最小路径。关于标签中的“函数”和“方法”，在编程中，函数是一组完成特定任务的代码，而方法是对象可以执行的操作。在这个问题中，我们可以定义一个主函数来初始化和调用递归函数，以及一个方法来追踪并显示路径。解决这个问题需要结合动态规划、递归思想，以及可能的SCL编程技巧。通过对网格的逐层分析，我们可以找出一条数字总和最小的路径，并展示这条路径的具体步骤。这不仅锻炼了我们的编程能力，也体现了对算法和数据结构的理解。在实际应用中，这种问题求解策略可以应用于各种最优化问题，如路径规划、资源分配等。

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收起资源包目录

最小路径和.zip （76个子文件）

最小路径和.ap16 8KB

Vci

Vci.db 24KB

System

PEData.plf 2.64MB

PEData.idx 97KB

PEData

Meta

ChangeListConsumer

Siemens.Simatic.Lang.IPI.Target.xml 3KB

HmiBase.xml 3KB

Siemens.Simatic.Lang.Online.xml 3KB

Siemens.Simatic.Lang.xml 3KB

Iecpl.xml 3KB

ChangeListProvider

Siemens.Automation.DomainModel.xml 2KB

Logs

ConversionLogFile.xsl 7KB

ICO_PE_InfoActionRequest.png 693B

[2020-12-05 13.42.27.617][1].zip 1KB

ICO_PE_InfoDecision.png 693B

ICO_PE_InfoInputRequired.png 693B

ICO_PE_InfoWarning.png 544B

ICO_PE_InfoInformation.png 608B

ICO_PE_InfoSuccess.png 713B

ICO_PE_InfoError.png 581B

ICO_PE_InfoErrorCritical.png 609B

ConversionLog_15.1.0.0_to_16.0.0.0.xml 38KB

ICO_PE_InfoDecisionCritical.png 544B

UserFiles

SearchIndex

_3oy_2.del 60B

_3oy.tis 32KB

_3p1_1.del 9B

segments.gen 20B

_3oy.tvf 50KB

_3p0_1.del 9B

_3oy.frq 8KB

_3p1.cfs 6KB

_3oy.prx 8KB

_3oy.fdx 3KB

_3p0.cfs 6KB

_3oy.fnm 5KB

_3oy.tii 436B

_3oy.fdt 144KB

_3oy.tvd 4KB

_3oy.tvx 6KB

segments_2lo 991B

_3oz.cfs 5KB

_3p2.cfs 6KB

SPL

options 2KB

HMI

DeviceFolders.dat 41B

RtData.idx 269KB

Generates

SimWork

pdata.ORIE.cnk 96B

pdata.srt 219KB

pdata.ETH0.cnk 192B

pdata.rt_file.@MSG 1024KB

pdata.pwx 348B

DownloadTask.xml 862B

pdata.ORIE.cnk 96B

qcontrols

D29000007.qml 3KB

D29000009.qml 3KB

D29000003.qml 3KB

D29000000.qml 4KB

T26000000.qml 8KB

Global.qml 15KB

D29000008.qml 3KB

D29000002.qml 1006B

D2900000A.qml 4KB

D29000005.qml 3KB

D29000004.qml 2KB

P1000000.qml 10KB

D29000001.qml 2KB

D29000006.qml 4KB

pdata.srt 219KB

pdata.rld 23KB

pdata.ETH0.cnk 192B

HmiSRT.ini 70B

ProjectCharacteristics.rdf 162B

pdata.pwx 348B

RtData.plf 8.32MB

intermediate.dti 111B

BrokerInfo.dat 235B

TMP

XRef

XRef.db 1.44MB

AdditionalFiles

PLCM

plcmArchive.pma15_0 4B

<?xml version="1.0" encoding="utf-8"?> <?xml-stylesheet type='text/xsl' href='ConversionLogFile.xsl'?> <LogFile projectName="Stacker+Convery_20210303_V16" typeText="类型" messageText="消息" timeText="时间"> <MessageCell ServiceId="80" MessageId="30" MessageClass="Information" Timestamp="2021/9/24 13:32:34"> <Number ServiceNumber="80" MessageNumber="30" /> <Text FeedbackText="已开始升级" /> <Help HelpId="-1" /> </MessageCell> <Details ServiceId="80" MessageId="30" Timestamp="2021/9/24 13:32:36" Debug="false"> <Text>Reorganization succeed!</Text> </Details> <MessageCell ServiceId="80" MessageId="30" MessageClass="Information" Timestamp="2021/9/24 13:32:36"> <Number ServiceNumber="80" MessageNumber="30" /> <Text FeedbackText="CheckRepair lost+found objects" /> <Help HelpId="-1" /> </MessageCell> <Details ServiceId="80" MessageId="30" Timestamp="2021/9/24 13:32:41" Debug="false"> <Text>No error is detected.</Text> </Details> <MessageCell ServiceId="80" MessageId="30" MessageClass="Information" 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<Details ServiceId="80" MessageId="30" Timestamp="2021/9/24 13:33:01" Debug="false"> <Text>HmiConvert: Starting conversion step <Siemens.Simatic.Hmi.BL.ModernUI:Siemens.Simatic.Hmi.BL.ModernUI.Convert.ScreenItemPhaseConverter.AdaptModel>.</Text> </Details> <Details ServiceId="80" MessageId="30" Timestamp="2021/9/24 13:33:01" Debug="false"> <Text>HmiConvert: Finished conversion step <Siemens.Simatic.Hmi.BL.ModernUI:Siemens.Simatic.Hmi.BL.ModernUI.Convert.ScreenItemPhaseConverter.AdaptModel>.</Text> </Details> <Details ServiceId="80" MessageId="30" Timestamp="2021/9/24 13:33:01" Debug="false"> <Text>HmiConvert: Starting conversion step <Siemens.Simatic.Hmi.Styles.Managers.Scan:Siemens.Simatic.Hmi.Utah.Styles.HmiStyleConverter.ConvertHmiStyleFromV151ToV16>.</Text> </Details> <Details ServiceId="80" MessageId="30" Timestamp="2021/9/24 13:33:09" Debug="false"> <Text>HmiConvert: Finished conversion step 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Debug="false"> <Text>HmiConvert: Finished conversion step <Siemens.Simatic.Hmi.Communication.Managers.Scan:Siemens.Simatic.Hmi.Utah.Communication.HmiConnectionAutoRepairer.HmiConnectionAutoRepairs>.</Text> </Details> <Details ServiceId="80" MessageId="30" Timestamp="2021/9/24 13:33:09" Debug="false"> <Text>HmiConvert: Starting conversion step <Siemens.Simatic.Hmi.BL.Scripting.Scan:Siemens.Simatic.Hmi.BL.Scripting.Migrations.ModuleConverter.ModuleRepair>.</Text> </Details> <Details ServiceId="80" MessageId="30" Timestamp="2021/9/24 13:33:09" Debug="false"> <Text>HmiConvert: Finished conversion step <Siemens.Simatic.Hmi.BL.Scripting.Scan:Siemens.Simatic.Hmi.BL.Scripting.Migrations.ModuleConverter.ModuleRepair>.</Text> </Details> <Details ServiceId="80" MessageId="30" Timestamp="2021/9/24 13:33:09" Debug="false"> <Text>HmiConvert: Starting conversion step <Siemens.Simatic.Hmi.GraphX.GraphXManagers.Scan:Siemens.Simatic.Hmi.Utah.GraphX.ChainedListConverter.ConvertFixScreenChainedList>.</Text> </Details> <Details ServiceId="80" MessageId="30" Timestamp="2021/9/24 13:33:09" Debug="false"> <Text>HmiConvert: Finished conversion step <Siemens.Simatic.Hmi.GraphX.GraphXManagers.Scan:Siemens.Simatic.Hmi.Utah.GraphX.ChainedListConverter.ConvertFixScreenChainedList>.</Text> </Details> <Details ServiceId="80" MessageId="30" Timestamp="2021/9/24 13:33:09" Debug="false"> <Text>HmiConvert: Starting conversion step <Siemens.Simatic.Hmi.GraphX.GraphXManagers.Scan:Siemens.Simatic.Hmi.Utah.GraphX.PhaseConverter.RepairPointsCollectionOfScreenItems>.</Text> </Details> <Details ServiceId="80" MessageId="30" Timestamp="2021/9/24 13:33:09" Debug="false"> <Text>HmiConvert: Finished conversion step <Siemens.Simatic.Hmi.GraphX.GraphXManagers.Scan:Siemens.Simatic.Hmi.Utah.GraphX.PhaseConverter.RepairPointsCollectionOfScreenItems>.</Text> </Details> <Details ServiceId="80" MessageId="30" Timestamp="2021/9/24 13:33:09" Debug="false"> <Text>HmiConvert: Starting conversion step <Siemens.Automation.Simatic.CPM.HMI:Siemens.Simatic.Hmi.BL.Cpm.Convert.V151ToV16.PlantModelConverter.ConvertPlantModel>.</Text> </Details> <Details ServiceId="80" MessageId="30" Timestamp="2021/9/24 13:33:09" Debug="false"> <Text>HmiConvert: Finished conversion step <Siemens.Automation.Simatic.CPM.HMI:Siemens.Simatic.Hmi.BL.Cpm.Convert.V151ToV16.PlantModelConverter.ConvertPlantModel>.</Text> </Details> <Details ServiceId="80" MessageId="30" Timestamp="2021/9/24 13:33:09" Debug="false"> <Text>HmiConvert: Starting conversion step <Siemens.Simatic.Hmi.RuntimeIT.Managers.Scan:Siemens.Simatic.Hmi.Utah.RTSecurity.Upgrade.HmiRtSecurityRepair.Rep

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