"WebSphere MQ Resource Adapter(cells/linux-i3u2Node01Cell/nodes/Nod002/servers/server2|resources.xml#J2CResourceAdapter_1307207918354)"

activationSpecTemplateProps//
     activationSpecTemplatePropsactivationSpec//
          activationSpecTemplateProps.activationSpec.activationSpecClass=com.ibm.mq.connector.inbound.ActivationSpecImpl
          activationSpecTemplateProps.activationSpec.configProperties=
          activationSpecTemplateProps.activationSpecrequiredConfigProperties//
               activationSpecTemplateProps.activationSpec.requiredConfigProperties.descriptions=
               activationSpecTemplateProps.activationSpec.requiredConfigProperties.name=destination
               activationSpecTemplateProps.activationSpec.requiredConfigProperties.descriptions=
               activationSpecTemplateProps.activationSpec.requiredConfigProperties.name=destinationType
     activationSpecTemplatePropsresourceProperties//
          activationSpecTemplateProps.resourceProperties.description=CCSID
          activationSpecTemplateProps.resourceProperties.name=CCSID
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=int
          activationSpecTemplateProps.resourceProperties.value=819
          activationSpecTemplateProps.resourceProperties.description=acknowledgeMode
          activationSpecTemplateProps.resourceProperties.name=acknowledgeMode
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=int
          activationSpecTemplateProps.resourceProperties.value=1
          activationSpecTemplateProps.resourceProperties.description=arbitraryProperties
          activationSpecTemplateProps.resourceProperties.name=arbitraryProperties
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.description=brokerCCDurSubQueue
          activationSpecTemplateProps.resourceProperties.name=brokerCCDurSubQueue
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.value=SYSTEM.JMS.D.CC.SUBSCRIBER.QUEUE
          activationSpecTemplateProps.resourceProperties.description=brokerCCSubQueue
          activationSpecTemplateProps.resourceProperties.name=brokerCCSubQueue
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.value=SYSTEM.JMS.ND.CC.SUBSCRIBER.QUEUE
          activationSpecTemplateProps.resourceProperties.description=brokerControlQueue
          activationSpecTemplateProps.resourceProperties.name=brokerControlQueue
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.value=SYSTEM.BROKER.CONTROL.QUEUE
          activationSpecTemplateProps.resourceProperties.description=brokerPubQueue
          activationSpecTemplateProps.resourceProperties.name=brokerPubQueue
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.value=SYSTEM.BROKER.DEFAULT.STREAM
          activationSpecTemplateProps.resourceProperties.description=brokerQueueManager
          activationSpecTemplateProps.resourceProperties.name=brokerQueueManager
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.description=brokerSubQueue
          activationSpecTemplateProps.resourceProperties.name=brokerSubQueue
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.value=SYSTEM.JMS.ND.SUBSCRIBER.QUEUE
          activationSpecTemplateProps.resourceProperties.description=brokerVersion
          activationSpecTemplateProps.resourceProperties.name=brokerVersion
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.value=1
          activationSpecTemplateProps.resourceProperties.description=ccdtURL
          activationSpecTemplateProps.resourceProperties.name=ccdtURL
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.description=channel
          activationSpecTemplateProps.resourceProperties.name=channel
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.value=SYSTEM.DEF.SVRCONN
          activationSpecTemplateProps.resourceProperties.description=cleanupInterval
          activationSpecTemplateProps.resourceProperties.name=cleanupInterval
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=long
          activationSpecTemplateProps.resourceProperties.value=3600000
          activationSpecTemplateProps.resourceProperties.description=cleanupLevel
          activationSpecTemplateProps.resourceProperties.name=cleanupLevel
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.value=SAFE
          activationSpecTemplateProps.resourceProperties.description=clientID
          activationSpecTemplateProps.resourceProperties.name=clientID
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.description=clientId
          activationSpecTemplateProps.resourceProperties.name=clientId
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.description=cloneSupport
          activationSpecTemplateProps.resourceProperties.name=cloneSupport
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.value=DISABLED
          activationSpecTemplateProps.resourceProperties.description=connectionNameList
          activationSpecTemplateProps.resourceProperties.name=connectionNameList
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.value=localhost(1414)
          activationSpecTemplateProps.resourceProperties.description=destination
          activationSpecTemplateProps.resourceProperties.name=destination
          activationSpecTemplateProps.resourceProperties.required=true
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.value=SYSTEM.DEFAULT.LOCAL.QUEUE
          activationSpecTemplateProps.resourceProperties.description=destinationType
          activationSpecTemplateProps.resourceProperties.name=destinationType
          activationSpecTemplateProps.resourceProperties.required=true
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.value=javax.jms.Queue
          activationSpecTemplateProps.resourceProperties.description=failIfQuiesce
          activationSpecTemplateProps.resourceProperties.name=failIfQuiesce
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=boolean
          activationSpecTemplateProps.resourceProperties.value=true
          activationSpecTemplateProps.resourceProperties.description=headerCompression
          activationSpecTemplateProps.resourceProperties.name=headerCompression
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.value=NONE
          activationSpecTemplateProps.resourceProperties.description=hostName
          activationSpecTemplateProps.resourceProperties.name=hostName
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.value=localhost
          activationSpecTemplateProps.resourceProperties.description=localAddress
          activationSpecTemplateProps.resourceProperties.name=localAddress
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.description=maxMessages
          activationSpecTemplateProps.resourceProperties.name=maxMessages
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=int
          activationSpecTemplateProps.resourceProperties.value=1
          activationSpecTemplateProps.resourceProperties.description=maxPoolDepth
          activationSpecTemplateProps.resourceProperties.name=maxPoolDepth
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=int
          activationSpecTemplateProps.resourceProperties.value=10
          activationSpecTemplateProps.resourceProperties.description=messageBatchSize
          activationSpecTemplateProps.resourceProperties.name=messageBatchSize
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=int
          activationSpecTemplateProps.resourceProperties.value=10
          activationSpecTemplateProps.resourceProperties.description=messageCompression
          activationSpecTemplateProps.resourceProperties.name=messageCompression
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.value=NONE
          activationSpecTemplateProps.resourceProperties.description=messageRetention
          activationSpecTemplateProps.resourceProperties.name=messageRetention
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.value=YES
          activationSpecTemplateProps.resourceProperties.description=messageSelection
          activationSpecTemplateProps.resourceProperties.name=messageSelection
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.value=CLIENT
          activationSpecTemplateProps.resourceProperties.description=messageSelector
          activationSpecTemplateProps.resourceProperties.name=messageSelector
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.description=password
          activationSpecTemplateProps.resourceProperties.name=password
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.description=pollingInterval
          activationSpecTemplateProps.resourceProperties.name=pollingInterval
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=int
          activationSpecTemplateProps.resourceProperties.value=5000
          activationSpecTemplateProps.resourceProperties.description=poolTimeout
          activationSpecTemplateProps.resourceProperties.name=poolTimeout
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=int
          activationSpecTemplateProps.resourceProperties.value=300000
          activationSpecTemplateProps.resourceProperties.description=port
          activationSpecTemplateProps.resourceProperties.name=port
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=int
          activationSpecTemplateProps.resourceProperties.value=1414
          activationSpecTemplateProps.resourceProperties.description=providerVersion
          activationSpecTemplateProps.resourceProperties.name=providerVersion
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.value=UNSPECIFIED
          activationSpecTemplateProps.resourceProperties.description=queueManager
          activationSpecTemplateProps.resourceProperties.name=queueManager
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.description=readAheadAllowed
          activationSpecTemplateProps.resourceProperties.name=readAheadAllowed
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.value=DESTINATION
          activationSpecTemplateProps.resourceProperties.description=receiveExit
          activationSpecTemplateProps.resourceProperties.name=receiveExit
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.description=receiveExitInit
          activationSpecTemplateProps.resourceProperties.name=receiveExitInit
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.description=rescanInterval
          activationSpecTemplateProps.resourceProperties.name=rescanInterval
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=int
          activationSpecTemplateProps.resourceProperties.value=5000
          activationSpecTemplateProps.resourceProperties.description=securityExit
          activationSpecTemplateProps.resourceProperties.name=securityExit
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.description=securityExitInit
          activationSpecTemplateProps.resourceProperties.name=securityExitInit
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.description=sendExit
          activationSpecTemplateProps.resourceProperties.name=sendExit
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.description=sendExitInit
          activationSpecTemplateProps.resourceProperties.name=sendExitInit
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.description=shareConvAllowed
          activationSpecTemplateProps.resourceProperties.name=shareConvAllowed
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.value=YES
          activationSpecTemplateProps.resourceProperties.description=sparseSubscriptions
          activationSpecTemplateProps.resourceProperties.name=sparseSubscriptions
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.value=FALSE
          activationSpecTemplateProps.resourceProperties.description=sslCertStores
          activationSpecTemplateProps.resourceProperties.name=sslCertStores
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.description=sslCipherSuite
          activationSpecTemplateProps.resourceProperties.name=sslCipherSuite
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.description=sslFipsRequired
          activationSpecTemplateProps.resourceProperties.name=sslFipsRequired
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=boolean
          activationSpecTemplateProps.resourceProperties.value=false
          activationSpecTemplateProps.resourceProperties.description=sslPeerName
          activationSpecTemplateProps.resourceProperties.name=sslPeerName
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.description=sslResetCount
          activationSpecTemplateProps.resourceProperties.name=sslResetCount
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=int
          activationSpecTemplateProps.resourceProperties.value=0
          activationSpecTemplateProps.resourceProperties.description=sslSocketFactory
          activationSpecTemplateProps.resourceProperties.name=sslSocketFactory
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.description=startTimeout
          activationSpecTemplateProps.resourceProperties.name=startTimeout
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=int
          activationSpecTemplateProps.resourceProperties.value=10000
          activationSpecTemplateProps.resourceProperties.description=statusRefreshInterval
          activationSpecTemplateProps.resourceProperties.name=statusRefreshInterval
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=int
          activationSpecTemplateProps.resourceProperties.value=60000
          activationSpecTemplateProps.resourceProperties.description=subscriptionDurability
          activationSpecTemplateProps.resourceProperties.name=subscriptionDurability
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.value=NonDurable
          activationSpecTemplateProps.resourceProperties.description=subscriptionName
          activationSpecTemplateProps.resourceProperties.name=subscriptionName
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.description=subscriptionStore
          activationSpecTemplateProps.resourceProperties.name=subscriptionStore
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.value=MIGRATE
          activationSpecTemplateProps.resourceProperties.description=transportType
          activationSpecTemplateProps.resourceProperties.name=transportType
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.value=CLIENT
          activationSpecTemplateProps.resourceProperties.description=useJNDI
          activationSpecTemplateProps.resourceProperties.name=useJNDI
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=boolean
          activationSpecTemplateProps.resourceProperties.value=false
          activationSpecTemplateProps.resourceProperties.description=username
          activationSpecTemplateProps.resourceProperties.name=username
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.description=wildcardFormat
          activationSpecTemplateProps.resourceProperties.name=wildcardFormat
          activationSpecTemplateProps.resourceProperties.required=false
          activationSpecTemplateProps.resourceProperties.type=java.lang.String
          activationSpecTemplateProps.resourceProperties.value=TOPIC
adminObjectTemplateProps=
archivePath=${WAS_INSTALL_ROOT}/installedConnectors/wmq.jmsra.rar
classpath=${WAS_INSTALL_ROOT}/installedConnectors/wmq.jmsra.rar
connectionDefTemplateProps=
deploymentDescriptor//
     deploymentDescriptor.descriptions=
     deploymentDescriptor.displayName="WebSphere MQ Resource Adapter"
     deploymentDescriptordisplayNames//
          deploymentDescriptor.displayNames.value="WebSphere MQ Resource Adapter"
     deploymentDescriptor.eisType="Java Message Service"
     deploymentDescriptor.icons=
     deploymentDescriptorlicense//
          deploymentDescriptor.licensedescriptions//
               deploymentDescriptor.license.descriptions.IPLA").=For
               deploymentDescriptor.license.descriptions.Information=("LI")
               deploymentDescriptor.license.descriptions.MQ=Licence
               deploymentDescriptor.license.descriptions.The=LI
               deploymentDescriptor.license.descriptions.WebSphere=MQ
               deploymentDescriptor.license.descriptions.a=file
               deploymentDescriptor.license.descriptions.available=at\t\t\thttp://www.ibm.com/software/sla/.
               deploymentDescriptor.license.descriptions.be=found\t\t\tin
               deploymentDescriptor.license.descriptions.in=the
               deploymentDescriptor.license.descriptions.installation=directory.\t\t"
               deploymentDescriptor.license.descriptions.licence=information,\t\t\tsee
               deploymentDescriptor.license.descriptions.may=also
               deploymentDescriptor.license.descriptions.the=WebSphere
               deploymentDescriptor.license.descriptions.value="\t\t\tThis software is licenced under the IBM International\t\t\tProgram License Agreement ("
          deploymentDescriptor.license.required=true
     deploymentDescriptor.metadataComplete=false
     deploymentDescriptor.requiredWorkContext=
     deploymentDescriptorresourceAdapter//
          deploymentDescriptor.resourceAdapter.adminObjects=
          deploymentDescriptor.resourceAdapter.authenticationMechanisms=
          deploymentDescriptor.resourceAdapterconfigProperties//
               deploymentDescriptor.resourceAdapter.configProperties.confidential=false
               deploymentDescriptor.resourceAdapter.configProperties.description=connectionConcurrency
               deploymentDescriptor.resourceAdapter.configProperties.descriptions=
               deploymentDescriptor.resourceAdapter.configProperties.ignore=false
               deploymentDescriptor.resourceAdapter.configProperties.name=connectionConcurrency
               deploymentDescriptor.resourceAdapter.configProperties.supportsDynamicUpdates=false
               deploymentDescriptor.resourceAdapter.configProperties.type=java.lang.String
               deploymentDescriptor.resourceAdapter.configProperties.confidential=false
               deploymentDescriptor.resourceAdapter.configProperties.description=maxConnections
               deploymentDescriptor.resourceAdapter.configProperties.descriptions=
               deploymentDescriptor.resourceAdapter.configProperties.ignore=false
               deploymentDescriptor.resourceAdapter.configProperties.name=maxConnections
               deploymentDescriptor.resourceAdapter.configProperties.supportsDynamicUpdates=false
               deploymentDescriptor.resourceAdapter.configProperties.type=java.lang.String
               deploymentDescriptor.resourceAdapter.configProperties.confidential=false
               deploymentDescriptor.resourceAdapter.configProperties.description=logWriterEnabled
               deploymentDescriptor.resourceAdapter.configProperties.descriptions=
               deploymentDescriptor.resourceAdapter.configProperties.ignore=false
               deploymentDescriptor.resourceAdapter.configProperties.name=logWriterEnabled
               deploymentDescriptor.resourceAdapter.configProperties.supportsDynamicUpdates=false
               deploymentDescriptor.resourceAdapter.configProperties.type=java.lang.String
               deploymentDescriptor.resourceAdapter.configProperties.confidential=false
               deploymentDescriptor.resourceAdapter.configProperties.description=reconnectionRetryCount
               deploymentDescriptor.resourceAdapter.configProperties.descriptions=
               deploymentDescriptor.resourceAdapter.configProperties.ignore=false
               deploymentDescriptor.resourceAdapter.configProperties.name=reconnectionRetryCount
               deploymentDescriptor.resourceAdapter.configProperties.supportsDynamicUpdates=false
               deploymentDescriptor.resourceAdapter.configProperties.type=java.lang.String
               deploymentDescriptor.resourceAdapter.configProperties.confidential=false
               deploymentDescriptor.resourceAdapter.configProperties.description=reconnectionRetryInterval
               deploymentDescriptor.resourceAdapter.configProperties.descriptions=
               deploymentDescriptor.resourceAdapter.configProperties.ignore=false
               deploymentDescriptor.resourceAdapter.configProperties.name=reconnectionRetryInterval
               deploymentDescriptor.resourceAdapter.configProperties.supportsDynamicUpdates=false
               deploymentDescriptor.resourceAdapter.configProperties.type=java.lang.String
               deploymentDescriptor.resourceAdapter.configProperties.confidential=false
               deploymentDescriptor.resourceAdapter.configProperties.description=traceEnabled
               deploymentDescriptor.resourceAdapter.configProperties.descriptions=
               deploymentDescriptor.resourceAdapter.configProperties.ignore=false
               deploymentDescriptor.resourceAdapter.configProperties.name=traceEnabled
               deploymentDescriptor.resourceAdapter.configProperties.supportsDynamicUpdates=false
               deploymentDescriptor.resourceAdapter.configProperties.type=java.lang.String
               deploymentDescriptor.resourceAdapter.configProperties.confidential=false
               deploymentDescriptor.resourceAdapter.configProperties.description=traceLevel
               deploymentDescriptor.resourceAdapter.configProperties.descriptions=
               deploymentDescriptor.resourceAdapter.configProperties.ignore=false
               deploymentDescriptor.resourceAdapter.configProperties.name=traceLevel
               deploymentDescriptor.resourceAdapter.configProperties.supportsDynamicUpdates=false
               deploymentDescriptor.resourceAdapter.configProperties.type=java.lang.String
          deploymentDescriptor.resourceAdapterinboundResourceAdapter//
               deploymentDescriptor.resourceAdapter.inboundResourceAdaptermessageAdapter//
                    deploymentDescriptor.resourceAdapter.inboundResourceAdapter.messageAdaptermessageListeners//
                         deploymentDescriptor.resourceAdapter.inboundResourceAdapter.messageAdapter.messageListenersactivationSpec//
                              deploymentDescriptor.resourceAdapter.inboundResourceAdapter.messageAdapter.messageListeners.activationSpec.activationSpecClass=com.ibm.mq.connector.inbound.ActivationSpecImpl
                              deploymentDescriptor.resourceAdapter.inboundResourceAdapter.messageAdapter.messageListeners.activationSpec.configProperties=
                              deploymentDescriptor.resourceAdapter.inboundResourceAdapter.messageAdapter.messageListeners.activationSpecrequiredConfigProperties//
                                   deploymentDescriptor.resourceAdapter.inboundResourceAdapter.messageAdapter.messageListeners.activationSpec.requiredConfigProperties.descriptions=
                                   deploymentDescriptor.resourceAdapter.inboundResourceAdapter.messageAdapter.messageListeners.activationSpec.requiredConfigProperties.name=destination
                                   deploymentDescriptor.resourceAdapter.inboundResourceAdapter.messageAdapter.messageListeners.activationSpec.requiredConfigProperties.descriptions=
                                   deploymentDescriptor.resourceAdapter.inboundResourceAdapter.messageAdapter.messageListeners.activationSpec.requiredConfigProperties.name=destinationType
                         deploymentDescriptor.resourceAdapter.inboundResourceAdapter.messageAdapter.messageListeners.messageListenerType=javax.jms.MessageListener
          deploymentDescriptor.resourceAdapter.reauthenticationSupport=false
          deploymentDescriptor.resourceAdapter.resourceAdapterClass=com.ibm.mq.connector.ResourceAdapterImpl
          deploymentDescriptor.resourceAdaptersecurityPermissions//
               deploymentDescriptor.resourceAdapter.securityPermissions.description="Security Permissions for the JMS client"
               deploymentDescriptor.resourceAdapter.securityPermissions.descriptions=
               deploymentDescriptor.resourceAdapter.securityPermissions.specification="\t\t\t\tgrant { \t\t\t\t\tpermission java.security.AllPermission; \t\t\t\t};\t\t\t"
          deploymentDescriptor.resourceAdapter.transactionSupport=XATransaction
     deploymentDescriptor.specVersion=1.5
     deploymentDescriptor.IBM")."=
     deploymentDescriptor.vendorName="International Business Machines Corporation ("
     deploymentDescriptor.version=7.0.1.3-k701-103-100812
description="WAS 7.0.0.1 Built In WebSphere MQ Resource Adapter"
hACapability=RA_NO_HA
isEnableHASupport=false
isolatedClassLoader=false
j2cActivationSpec=
j2cAdminObjects=
jaasLoginConfiguration=
name="WebSphere MQ Resource Adapter"
nativepath=
properties=
propertySet//
     propertySetresourceProperties//
          propertySet.resourceProperties.description=connectionConcurrency
          propertySet.resourceProperties.name=connectionConcurrency
          propertySet.resourceProperties.required=false
          propertySet.resourceProperties.type=int
          propertySet.resourceProperties.value=5
          propertySet.resourceProperties.description=maxConnections
          propertySet.resourceProperties.name=maxConnections
          propertySet.resourceProperties.required=false
          propertySet.resourceProperties.type=int
          propertySet.resourceProperties.value=10
          propertySet.resourceProperties.description=logWriterEnabled
          propertySet.resourceProperties.name=logWriterEnabled
          propertySet.resourceProperties.required=false
          propertySet.resourceProperties.type=boolean
          propertySet.resourceProperties.value=true
          propertySet.resourceProperties.description=reconnectionRetryCount
          propertySet.resourceProperties.name=reconnectionRetryCount
          propertySet.resourceProperties.required=false
          propertySet.resourceProperties.type=int
          propertySet.resourceProperties.value=5
          propertySet.resourceProperties.description=reconnectionRetryInterval
          propertySet.resourceProperties.name=reconnectionRetryInterval
          propertySet.resourceProperties.required=false
          propertySet.resourceProperties.type=int
          propertySet.resourceProperties.value=300000
          propertySet.resourceProperties.description=traceEnabled
          propertySet.resourceProperties.name=traceEnabled
          propertySet.resourceProperties.required=false
          propertySet.resourceProperties.type=boolean
          propertySet.resourceProperties.value=false
          propertySet.resourceProperties.description=traceLevel
          propertySet.resourceProperties.name=traceLevel
          propertySet.resourceProperties.required=false
          propertySet.resourceProperties.type=int
          propertySet.resourceProperties.value=3
singleton=false
threadPoolAlias=WMQJCAResourceAdapter


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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠨⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠉⠇⠁⠎⠎⠿⠉⠕⠍⠨⠊⠃⠍⠨⠍⠟⠨⠉⠕⠝⠝⠑⠉⠞⠕⠗⠨⠊⠝⠃⠕⠥⠝⠙⠨⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠊⠍⠏⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠗⠑⠟⠥⠊⠗⠑⠙⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠌⠌
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠨⠗⠑⠟⠥⠊⠗⠑⠙⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠎⠿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠨⠗⠑⠟⠥⠊⠗⠑⠙⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠙⠑⠎⠞⠊⠝⠁⠞⠊⠕⠝
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠨⠗⠑⠟⠥⠊⠗⠑⠙⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠎⠿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠨⠗⠑⠟⠥⠊⠗⠑⠙⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠙⠑⠎⠞⠊⠝⠁⠞⠊⠕⠝⠞⠽⠏⠑
⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠌⠌
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠉⠉⠎⠊⠙
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠉⠉⠎⠊⠙
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠊⠝⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠦⠂⠔
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠁⠉⠅⠝⠕⠺⠇⠑⠙⠛⠑⠍⠕⠙⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠁⠉⠅⠝⠕⠺⠇⠑⠙⠛⠑⠍⠕⠙⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠊⠝⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠘⠘⠘⠁⠗⠃⠊⠞⠗⠁⠗⠽⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠘⠘⠘
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠘⠘⠘⠁⠗⠃⠊⠞⠗⠁⠗⠽⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠘⠘⠘
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠃⠗⠕⠅⠑⠗⠉⠉⠙⠥⠗⠎⠥⠃⠟⠥⠑⠥⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠃⠗⠕⠅⠑⠗⠉⠉⠙⠥⠗⠎⠥⠃⠟⠥⠑⠥⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠎⠽⠎⠞⠑⠍⠨⠚⠍⠎⠨⠙⠨⠉⠉⠨⠎⠥⠃⠎⠉⠗⠊⠃⠑⠗⠨⠟⠥⠑⠥⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠃⠗⠕⠅⠑⠗⠉⠉⠎⠥⠃⠟⠥⠑⠥⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠃⠗⠕⠅⠑⠗⠉⠉⠎⠥⠃⠟⠥⠑⠥⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠎⠽⠎⠞⠑⠍⠨⠚⠍⠎⠨⠝⠙⠨⠉⠉⠨⠎⠥⠃⠎⠉⠗⠊⠃⠑⠗⠨⠟⠥⠑⠥⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠃⠗⠕⠅⠑⠗⠉⠕⠝⠞⠗⠕⠇⠟⠥⠑⠥⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠃⠗⠕⠅⠑⠗⠉⠕⠝⠞⠗⠕⠇⠟⠥⠑⠥⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠎⠽⠎⠞⠑⠍⠨⠃⠗⠕⠅⠑⠗⠨⠉⠕⠝⠞⠗⠕⠇⠨⠟⠥⠑⠥⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠃⠗⠕⠅⠑⠗⠏⠥⠃⠟⠥⠑⠥⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠃⠗⠕⠅⠑⠗⠏⠥⠃⠟⠥⠑⠥⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠎⠽⠎⠞⠑⠍⠨⠃⠗⠕⠅⠑⠗⠨⠙⠑⠋⠁⠥⠇⠞⠨⠎⠞⠗⠑⠁⠍
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠃⠗⠕⠅⠑⠗⠟⠥⠑⠥⠑⠍⠁⠝⠁⠛⠑⠗
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠃⠗⠕⠅⠑⠗⠟⠥⠑⠥⠑⠍⠁⠝⠁⠛⠑⠗
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠃⠗⠕⠅⠑⠗⠎⠥⠃⠟⠥⠑⠥⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠃⠗⠕⠅⠑⠗⠎⠥⠃⠟⠥⠑⠥⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠎⠽⠎⠞⠑⠍⠨⠚⠍⠎⠨⠝⠙⠨⠎⠥⠃⠎⠉⠗⠊⠃⠑⠗⠨⠟⠥⠑⠥⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠃⠗⠕⠅⠑⠗⠧⠑⠗⠎⠊⠕⠝
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠃⠗⠕⠅⠑⠗⠧⠑⠗⠎⠊⠕⠝
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠉⠉⠙⠞⠥⠗⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠉⠉⠙⠞⠥⠗⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠉⠓⠁⠝⠝⠑⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠉⠓⠁⠝⠝⠑⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠎⠽⠎⠞⠑⠍⠨⠙⠑⠋⠨⠎⠧⠗⠉⠕⠝⠝
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠉⠇⠑⠁⠝⠥⠏⠊⠝⠞⠑⠗⠧⠁⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠉⠇⠑⠁⠝⠥⠏⠊⠝⠞⠑⠗⠧⠁⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠇⠕⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠒⠖⠴⠴⠴⠴⠴
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠉⠇⠑⠁⠝⠥⠏⠇⠑⠧⠑⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠉⠇⠑⠁⠝⠥⠏⠇⠑⠧⠑⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠎⠁⠋⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠉⠇⠊⠑⠝⠞⠊⠙
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠉⠇⠊⠑⠝⠞⠊⠙
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠉⠇⠊⠑⠝⠞⠊⠙
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠉⠇⠊⠑⠝⠞⠊⠙
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠉⠇⠕⠝⠑⠎⠥⠏⠏⠕⠗⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠉⠇⠕⠝⠑⠎⠥⠏⠏⠕⠗⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠙⠊⠎⠁⠃⠇⠑⠙
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠉⠕⠝⠝⠑⠉⠞⠊⠕⠝⠝⠁⠍⠑⠇⠊⠎⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠉⠕⠝⠝⠑⠉⠞⠊⠕⠝⠝⠁⠍⠑⠇⠊⠎⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠇⠕⠉⠁⠇⠓⠕⠎⠞⠷⠂⠲⠂⠲⠾
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠙⠑⠎⠞⠊⠝⠁⠞⠊⠕⠝
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠙⠑⠎⠞⠊⠝⠁⠞⠊⠕⠝
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠞⠗⠥⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠎⠽⠎⠞⠑⠍⠨⠙⠑⠋⠁⠥⠇⠞⠨⠇⠕⠉⠁⠇⠨⠟⠥⠑⠥⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠙⠑⠎⠞⠊⠝⠁⠞⠊⠕⠝⠞⠽⠏⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠙⠑⠎⠞⠊⠝⠁⠞⠊⠕⠝⠞⠽⠏⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠞⠗⠥⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠚⠁⠧⠁⠭⠨⠚⠍⠎⠨⠟⠥⠑⠥⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠋⠁⠊⠇⠊⠋⠟⠥⠊⠑⠎⠉⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠋⠁⠊⠇⠊⠋⠟⠥⠊⠑⠎⠉⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠃⠕⠕⠇⠑⠁⠝
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠞⠗⠥⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠓⠑⠁⠙⠑⠗⠉⠕⠍⠏⠗⠑⠎⠎⠊⠕⠝
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠓⠑⠁⠙⠑⠗⠉⠕⠍⠏⠗⠑⠎⠎⠊⠕⠝
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠝⠕⠝⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠓⠕⠎⠞⠝⠁⠍⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠓⠕⠎⠞⠝⠁⠍⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠇⠕⠉⠁⠇⠓⠕⠎⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠇⠕⠉⠁⠇⠁⠙⠙⠗⠑⠎⠎
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠇⠕⠉⠁⠇⠁⠙⠙⠗⠑⠎⠎
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠍⠁⠭⠍⠑⠎⠎⠁⠛⠑⠎
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠍⠁⠭⠍⠑⠎⠎⠁⠛⠑⠎
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠊⠝⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠍⠁⠭⠏⠕⠕⠇⠙⠑⠏⠞⠓
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠍⠁⠭⠏⠕⠕⠇⠙⠑⠏⠞⠓
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠊⠝⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠂⠴
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠍⠑⠎⠎⠁⠛⠑⠃⠁⠞⠉⠓⠎⠊⠵⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠍⠑⠎⠎⠁⠛⠑⠃⠁⠞⠉⠓⠎⠊⠵⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠊⠝⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠂⠴
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠍⠑⠎⠎⠁⠛⠑⠉⠕⠍⠏⠗⠑⠎⠎⠊⠕⠝
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠍⠑⠎⠎⠁⠛⠑⠉⠕⠍⠏⠗⠑⠎⠎⠊⠕⠝
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠝⠕⠝⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠍⠑⠎⠎⠁⠛⠑⠗⠑⠞⠑⠝⠞⠊⠕⠝
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠍⠑⠎⠎⠁⠛⠑⠗⠑⠞⠑⠝⠞⠊⠕⠝
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠽⠑⠎
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠍⠑⠎⠎⠁⠛⠑⠎⠑⠇⠑⠉⠞⠊⠕⠝
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠍⠑⠎⠎⠁⠛⠑⠎⠑⠇⠑⠉⠞⠊⠕⠝
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠉⠇⠊⠑⠝⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠍⠑⠎⠎⠁⠛⠑⠎⠑⠇⠑⠉⠞⠕⠗
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠍⠑⠎⠎⠁⠛⠑⠎⠑⠇⠑⠉⠞⠕⠗
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠏⠁⠎⠎⠺⠕⠗⠙
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠏⠁⠎⠎⠺⠕⠗⠙
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠏⠕⠇⠇⠊⠝⠛⠊⠝⠞⠑⠗⠧⠁⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠏⠕⠇⠇⠊⠝⠛⠊⠝⠞⠑⠗⠧⠁⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠊⠝⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠢⠴⠴⠴
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠏⠕⠕⠇⠞⠊⠍⠑⠕⠥⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠏⠕⠕⠇⠞⠊⠍⠑⠕⠥⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠊⠝⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠒⠴⠴⠴⠴⠴
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠏⠕⠗⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠏⠕⠗⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠊⠝⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠂⠲⠂⠲
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠏⠗⠕⠧⠊⠙⠑⠗⠧⠑⠗⠎⠊⠕⠝
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠏⠗⠕⠧⠊⠙⠑⠗⠧⠑⠗⠎⠊⠕⠝
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠥⠝⠎⠏⠑⠉⠊⠋⠊⠑⠙
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠟⠥⠑⠥⠑⠍⠁⠝⠁⠛⠑⠗
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠟⠥⠑⠥⠑⠍⠁⠝⠁⠛⠑⠗
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠗⠑⠁⠙⠁⠓⠑⠁⠙⠁⠇⠇⠕⠺⠑⠙
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠗⠑⠁⠙⠁⠓⠑⠁⠙⠁⠇⠇⠕⠺⠑⠙
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠙⠑⠎⠞⠊⠝⠁⠞⠊⠕⠝
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠗⠑⠉⠑⠊⠧⠑⠑⠭⠊⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠗⠑⠉⠑⠊⠧⠑⠑⠭⠊⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠗⠑⠉⠑⠊⠧⠑⠑⠭⠊⠞⠊⠝⠊⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠗⠑⠉⠑⠊⠧⠑⠑⠭⠊⠞⠊⠝⠊⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠗⠑⠎⠉⠁⠝⠊⠝⠞⠑⠗⠧⠁⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠗⠑⠎⠉⠁⠝⠊⠝⠞⠑⠗⠧⠁⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠊⠝⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠢⠴⠴⠴
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠎⠑⠉⠥⠗⠊⠞⠽⠑⠭⠊⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠎⠑⠉⠥⠗⠊⠞⠽⠑⠭⠊⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠎⠑⠉⠥⠗⠊⠞⠽⠑⠭⠊⠞⠊⠝⠊⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠎⠑⠉⠥⠗⠊⠞⠽⠑⠭⠊⠞⠊⠝⠊⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠎⠑⠝⠙⠑⠭⠊⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠎⠑⠝⠙⠑⠭⠊⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠎⠑⠝⠙⠑⠭⠊⠞⠊⠝⠊⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠎⠑⠝⠙⠑⠭⠊⠞⠊⠝⠊⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠎⠓⠁⠗⠑⠉⠕⠝⠧⠁⠇⠇⠕⠺⠑⠙
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠎⠓⠁⠗⠑⠉⠕⠝⠧⠁⠇⠇⠕⠺⠑⠙
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠽⠑⠎
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠎⠏⠁⠗⠎⠑⠎⠥⠃⠎⠉⠗⠊⠏⠞⠊⠕⠝⠎
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠎⠏⠁⠗⠎⠑⠎⠥⠃⠎⠉⠗⠊⠏⠞⠊⠕⠝⠎
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠎⠎⠇⠉⠑⠗⠞⠎⠞⠕⠗⠑⠎
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠎⠎⠇⠉⠑⠗⠞⠎⠞⠕⠗⠑⠎
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠎⠎⠇⠉⠊⠏⠓⠑⠗⠎⠥⠊⠞⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠎⠎⠇⠉⠊⠏⠓⠑⠗⠎⠥⠊⠞⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠎⠎⠇⠋⠊⠏⠎⠗⠑⠟⠥⠊⠗⠑⠙
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠎⠎⠇⠋⠊⠏⠎⠗⠑⠟⠥⠊⠗⠑⠙
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠃⠕⠕⠇⠑⠁⠝
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠎⠎⠇⠏⠑⠑⠗⠝⠁⠍⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠎⠎⠇⠏⠑⠑⠗⠝⠁⠍⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠎⠎⠇⠗⠑⠎⠑⠞⠉⠕⠥⠝⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠎⠎⠇⠗⠑⠎⠑⠞⠉⠕⠥⠝⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠊⠝⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠴
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠎⠎⠇⠎⠕⠉⠅⠑⠞⠋⠁⠉⠞⠕⠗⠽
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠎⠎⠇⠎⠕⠉⠅⠑⠞⠋⠁⠉⠞⠕⠗⠽
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠎⠞⠁⠗⠞⠞⠊⠍⠑⠕⠥⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠎⠞⠁⠗⠞⠞⠊⠍⠑⠕⠥⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠊⠝⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠂⠴⠴⠴⠴
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠎⠞⠁⠞⠥⠎⠗⠑⠋⠗⠑⠎⠓⠊⠝⠞⠑⠗⠧⠁⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠎⠞⠁⠞⠥⠎⠗⠑⠋⠗⠑⠎⠓⠊⠝⠞⠑⠗⠧⠁⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠊⠝⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠖⠴⠴⠴⠴
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠎⠥⠃⠎⠉⠗⠊⠏⠞⠊⠕⠝⠙⠥⠗⠁⠃⠊⠇⠊⠞⠽
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠎⠥⠃⠎⠉⠗⠊⠏⠞⠊⠕⠝⠙⠥⠗⠁⠃⠊⠇⠊⠞⠽
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠝⠕⠝⠙⠥⠗⠁⠃⠇⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠎⠥⠃⠎⠉⠗⠊⠏⠞⠊⠕⠝⠝⠁⠍⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠎⠥⠃⠎⠉⠗⠊⠏⠞⠊⠕⠝⠝⠁⠍⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠎⠥⠃⠎⠉⠗⠊⠏⠞⠊⠕⠝⠎⠞⠕⠗⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠎⠥⠃⠎⠉⠗⠊⠏⠞⠊⠕⠝⠎⠞⠕⠗⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠍⠊⠛⠗⠁⠞⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠞⠗⠁⠝⠎⠏⠕⠗⠞⠞⠽⠏⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠞⠗⠁⠝⠎⠏⠕⠗⠞⠞⠽⠏⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠉⠇⠊⠑⠝⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠥⠎⠑⠚⠝⠙⠊
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠥⠎⠑⠚⠝⠙⠊
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠃⠕⠕⠇⠑⠁⠝
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠥⠎⠑⠗⠝⠁⠍⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠥⠎⠑⠗⠝⠁⠍⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠺⠊⠇⠙⠉⠁⠗⠙⠋⠕⠗⠍⠁⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠺⠊⠇⠙⠉⠁⠗⠙⠋⠕⠗⠍⠁⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠞⠕⠏⠊⠉
⠁⠙⠍⠊⠝⠕⠃⠚⠑⠉⠞⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠿
⠁⠗⠉⠓⠊⠧⠑⠏⠁⠞⠓⠿⠫⠺⠁⠎⠸⠊⠝⠎⠞⠁⠇⠇⠸⠗⠕⠕⠞⠌⠊⠝⠎⠞⠁⠇⠇⠑⠙⠉⠕⠝⠝⠑⠉⠞⠕⠗⠎⠌⠺⠍⠟⠨⠚⠍⠎⠗⠁⠨⠗⠁⠗
⠉⠇⠁⠎⠎⠏⠁⠞⠓⠿⠫⠺⠁⠎⠸⠊⠝⠎⠞⠁⠇⠇⠸⠗⠕⠕⠞⠌⠊⠝⠎⠞⠁⠇⠇⠑⠙⠉⠕⠝⠝⠑⠉⠞⠕⠗⠎⠌⠺⠍⠟⠨⠚⠍⠎⠗⠁⠨⠗⠁⠗
⠉⠕⠝⠝⠑⠉⠞⠊⠕⠝⠙⠑⠋⠞⠑⠍⠏⠇⠁⠞⠑⠏⠗⠕⠏⠎⠿
⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠌⠌
⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠎⠿
⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠙⠊⠎⠏⠇⠁⠽⠝⠁⠍⠑⠿⠐⠺⠑⠃⠎⠏⠓⠑⠗⠑⠀⠍⠟⠀⠗⠑⠎⠕⠥⠗⠉⠑⠀⠁⠙⠁⠏⠞⠑⠗⠐
⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠙⠊⠎⠏⠇⠁⠽⠝⠁⠍⠑⠎⠌⠌
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠙⠊⠎⠏⠇⠁⠽⠝⠁⠍⠑⠎⠨⠧⠁⠇⠥⠑⠿⠐⠺⠑⠃⠎⠏⠓⠑⠗⠑⠀⠍⠟⠀⠗⠑⠎⠕⠥⠗⠉⠑⠀⠁⠙⠁⠏⠞⠑⠗⠐
⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠑⠊⠎⠞⠽⠏⠑⠿⠐⠚⠁⠧⠁⠀⠍⠑⠎⠎⠁⠛⠑⠀⠎⠑⠗⠧⠊⠉⠑⠐
⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠊⠉⠕⠝⠎⠿
⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠇⠊⠉⠑⠝⠎⠑⠌⠌
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠇⠊⠉⠑⠝⠎⠑⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠎⠌⠌
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠇⠊⠉⠑⠝⠎⠑⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠎⠨⠊⠏⠇⠁⠐⠾⠨⠿⠋⠕⠗
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠇⠊⠉⠑⠝⠎⠑⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠎⠨⠊⠝⠋⠕⠗⠍⠁⠞⠊⠕⠝⠿⠷⠐⠇⠊⠐⠾
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠇⠊⠉⠑⠝⠎⠑⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠎⠨⠍⠟⠿⠇⠊⠉⠑⠝⠉⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠇⠊⠉⠑⠝⠎⠑⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠎⠨⠞⠓⠑⠿⠇⠊
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠇⠊⠉⠑⠝⠎⠑⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠎⠨⠺⠑⠃⠎⠏⠓⠑⠗⠑⠿⠍⠟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠇⠊⠉⠑⠝⠎⠑⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠎⠨⠁⠿⠋⠊⠇⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠇⠊⠉⠑⠝⠎⠑⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠎⠨⠁⠧⠁⠊⠇⠁⠃⠇⠑⠿⠁⠞⠳⠞⠳⠞⠳⠞⠓⠞⠞⠏⠱⠌⠌⠺⠺⠺⠨⠊⠃⠍⠨⠉⠕⠍⠌⠎⠕⠋⠞⠺⠁⠗⠑⠌⠎⠇⠁⠌⠨
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠇⠊⠉⠑⠝⠎⠑⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠎⠨⠃⠑⠿⠋⠕⠥⠝⠙⠳⠞⠳⠞⠳⠞⠊⠝
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠇⠊⠉⠑⠝⠎⠑⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠎⠨⠊⠝⠿⠞⠓⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠇⠊⠉⠑⠝⠎⠑⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠎⠨⠊⠝⠎⠞⠁⠇⠇⠁⠞⠊⠕⠝⠿⠙⠊⠗⠑⠉⠞⠕⠗⠽⠨⠳⠞⠳⠞⠐
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠇⠊⠉⠑⠝⠎⠑⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠎⠨⠇⠊⠉⠑⠝⠉⠑⠿⠊⠝⠋⠕⠗⠍⠁⠞⠊⠕⠝⠄⠳⠞⠳⠞⠳⠞⠎⠑⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠇⠊⠉⠑⠝⠎⠑⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠎⠨⠍⠁⠽⠿⠁⠇⠎⠕
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠇⠊⠉⠑⠝⠎⠑⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠎⠨⠞⠓⠑⠿⠺⠑⠃⠎⠏⠓⠑⠗⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠇⠊⠉⠑⠝⠎⠑⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠎⠨⠧⠁⠇⠥⠑⠿⠐⠳⠞⠳⠞⠳⠞⠞⠓⠊⠎⠀⠎⠕⠋⠞⠺⠁⠗⠑⠀⠊⠎⠀⠇⠊⠉⠑⠝⠉⠑⠙⠀⠥⠝⠙⠑⠗⠀⠞⠓⠑⠀⠊⠃⠍⠀⠊⠝⠞⠑⠗⠝⠁⠞⠊⠕⠝⠁⠇⠳⠞⠳⠞⠳⠞⠏⠗⠕⠛⠗⠁⠍⠀⠇⠊⠉⠑⠝⠎⠑⠀⠁⠛⠗⠑⠑⠍⠑⠝⠞⠀⠷⠐
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠇⠊⠉⠑⠝⠎⠑⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠞⠗⠥⠑
⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠍⠑⠞⠁⠙⠁⠞⠁⠉⠕⠍⠏⠇⠑⠞⠑⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠟⠥⠊⠗⠑⠙⠺⠕⠗⠅⠉⠕⠝⠞⠑⠭⠞⠿
⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠌⠌
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠁⠙⠍⠊⠝⠕⠃⠚⠑⠉⠞⠎⠿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠁⠥⠞⠓⠑⠝⠞⠊⠉⠁⠞⠊⠕⠝⠍⠑⠉⠓⠁⠝⠊⠎⠍⠎⠿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠌⠌
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠉⠕⠝⠋⠊⠙⠑⠝⠞⠊⠁⠇⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠉⠕⠝⠝⠑⠉⠞⠊⠕⠝⠉⠕⠝⠉⠥⠗⠗⠑⠝⠉⠽
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠎⠿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠊⠛⠝⠕⠗⠑⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠉⠕⠝⠝⠑⠉⠞⠊⠕⠝⠉⠕⠝⠉⠥⠗⠗⠑⠝⠉⠽
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠎⠥⠏⠏⠕⠗⠞⠎⠙⠽⠝⠁⠍⠊⠉⠥⠏⠙⠁⠞⠑⠎⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠉⠕⠝⠋⠊⠙⠑⠝⠞⠊⠁⠇⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠍⠁⠭⠉⠕⠝⠝⠑⠉⠞⠊⠕⠝⠎
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠎⠿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠊⠛⠝⠕⠗⠑⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠍⠁⠭⠉⠕⠝⠝⠑⠉⠞⠊⠕⠝⠎
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠎⠥⠏⠏⠕⠗⠞⠎⠙⠽⠝⠁⠍⠊⠉⠥⠏⠙⠁⠞⠑⠎⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠉⠕⠝⠋⠊⠙⠑⠝⠞⠊⠁⠇⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠇⠕⠛⠺⠗⠊⠞⠑⠗⠑⠝⠁⠃⠇⠑⠙
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠎⠿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠊⠛⠝⠕⠗⠑⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠇⠕⠛⠺⠗⠊⠞⠑⠗⠑⠝⠁⠃⠇⠑⠙
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠎⠥⠏⠏⠕⠗⠞⠎⠙⠽⠝⠁⠍⠊⠉⠥⠏⠙⠁⠞⠑⠎⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠉⠕⠝⠋⠊⠙⠑⠝⠞⠊⠁⠇⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠗⠑⠉⠕⠝⠝⠑⠉⠞⠊⠕⠝⠗⠑⠞⠗⠽⠉⠕⠥⠝⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠎⠿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠊⠛⠝⠕⠗⠑⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠗⠑⠉⠕⠝⠝⠑⠉⠞⠊⠕⠝⠗⠑⠞⠗⠽⠉⠕⠥⠝⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠎⠥⠏⠏⠕⠗⠞⠎⠙⠽⠝⠁⠍⠊⠉⠥⠏⠙⠁⠞⠑⠎⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠉⠕⠝⠋⠊⠙⠑⠝⠞⠊⠁⠇⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠗⠑⠉⠕⠝⠝⠑⠉⠞⠊⠕⠝⠗⠑⠞⠗⠽⠊⠝⠞⠑⠗⠧⠁⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠎⠿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠊⠛⠝⠕⠗⠑⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠗⠑⠉⠕⠝⠝⠑⠉⠞⠊⠕⠝⠗⠑⠞⠗⠽⠊⠝⠞⠑⠗⠧⠁⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠎⠥⠏⠏⠕⠗⠞⠎⠙⠽⠝⠁⠍⠊⠉⠥⠏⠙⠁⠞⠑⠎⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠉⠕⠝⠋⠊⠙⠑⠝⠞⠊⠁⠇⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠞⠗⠁⠉⠑⠑⠝⠁⠃⠇⠑⠙
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠎⠿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠊⠛⠝⠕⠗⠑⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠞⠗⠁⠉⠑⠑⠝⠁⠃⠇⠑⠙
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠎⠥⠏⠏⠕⠗⠞⠎⠙⠽⠝⠁⠍⠊⠉⠥⠏⠙⠁⠞⠑⠎⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠉⠕⠝⠋⠊⠙⠑⠝⠞⠊⠁⠇⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠞⠗⠁⠉⠑⠇⠑⠧⠑⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠎⠿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠊⠛⠝⠕⠗⠑⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠞⠗⠁⠉⠑⠇⠑⠧⠑⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠎⠥⠏⠏⠕⠗⠞⠎⠙⠽⠝⠁⠍⠊⠉⠥⠏⠙⠁⠞⠑⠎⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠚⠁⠧⠁⠨⠇⠁⠝⠛⠨⠎⠞⠗⠊⠝⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠊⠝⠃⠕⠥⠝⠙⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠌⠌
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠊⠝⠃⠕⠥⠝⠙⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠍⠑⠎⠎⠁⠛⠑⠁⠙⠁⠏⠞⠑⠗⠌⠌
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠊⠝⠃⠕⠥⠝⠙⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠍⠑⠎⠎⠁⠛⠑⠁⠙⠁⠏⠞⠑⠗⠍⠑⠎⠎⠁⠛⠑⠇⠊⠎⠞⠑⠝⠑⠗⠎⠌⠌
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠊⠝⠃⠕⠥⠝⠙⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠍⠑⠎⠎⠁⠛⠑⠁⠙⠁⠏⠞⠑⠗⠨⠍⠑⠎⠎⠁⠛⠑⠇⠊⠎⠞⠑⠝⠑⠗⠎⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠌⠌
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠊⠝⠃⠕⠥⠝⠙⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠍⠑⠎⠎⠁⠛⠑⠁⠙⠁⠏⠞⠑⠗⠨⠍⠑⠎⠎⠁⠛⠑⠇⠊⠎⠞⠑⠝⠑⠗⠎⠨⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠨⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠉⠇⠁⠎⠎⠿⠉⠕⠍⠨⠊⠃⠍⠨⠍⠟⠨⠉⠕⠝⠝⠑⠉⠞⠕⠗⠨⠊⠝⠃⠕⠥⠝⠙⠨⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠊⠍⠏⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠊⠝⠃⠕⠥⠝⠙⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠍⠑⠎⠎⠁⠛⠑⠁⠙⠁⠏⠞⠑⠗⠨⠍⠑⠎⠎⠁⠛⠑⠇⠊⠎⠞⠑⠝⠑⠗⠎⠨⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠨⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠊⠝⠃⠕⠥⠝⠙⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠍⠑⠎⠎⠁⠛⠑⠁⠙⠁⠏⠞⠑⠗⠨⠍⠑⠎⠎⠁⠛⠑⠇⠊⠎⠞⠑⠝⠑⠗⠎⠨⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠗⠑⠟⠥⠊⠗⠑⠙⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠌⠌
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠊⠝⠃⠕⠥⠝⠙⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠍⠑⠎⠎⠁⠛⠑⠁⠙⠁⠏⠞⠑⠗⠨⠍⠑⠎⠎⠁⠛⠑⠇⠊⠎⠞⠑⠝⠑⠗⠎⠨⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠨⠗⠑⠟⠥⠊⠗⠑⠙⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠎⠿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠊⠝⠃⠕⠥⠝⠙⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠍⠑⠎⠎⠁⠛⠑⠁⠙⠁⠏⠞⠑⠗⠨⠍⠑⠎⠎⠁⠛⠑⠇⠊⠎⠞⠑⠝⠑⠗⠎⠨⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠨⠗⠑⠟⠥⠊⠗⠑⠙⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠙⠑⠎⠞⠊⠝⠁⠞⠊⠕⠝
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠊⠝⠃⠕⠥⠝⠙⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠍⠑⠎⠎⠁⠛⠑⠁⠙⠁⠏⠞⠑⠗⠨⠍⠑⠎⠎⠁⠛⠑⠇⠊⠎⠞⠑⠝⠑⠗⠎⠨⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠨⠗⠑⠟⠥⠊⠗⠑⠙⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠎⠿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠊⠝⠃⠕⠥⠝⠙⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠍⠑⠎⠎⠁⠛⠑⠁⠙⠁⠏⠞⠑⠗⠨⠍⠑⠎⠎⠁⠛⠑⠇⠊⠎⠞⠑⠝⠑⠗⠎⠨⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠨⠗⠑⠟⠥⠊⠗⠑⠙⠉⠕⠝⠋⠊⠛⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠙⠑⠎⠞⠊⠝⠁⠞⠊⠕⠝⠞⠽⠏⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠊⠝⠃⠕⠥⠝⠙⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠍⠑⠎⠎⠁⠛⠑⠁⠙⠁⠏⠞⠑⠗⠨⠍⠑⠎⠎⠁⠛⠑⠇⠊⠎⠞⠑⠝⠑⠗⠎⠨⠍⠑⠎⠎⠁⠛⠑⠇⠊⠎⠞⠑⠝⠑⠗⠞⠽⠏⠑⠿⠚⠁⠧⠁⠭⠨⠚⠍⠎⠨⠍⠑⠎⠎⠁⠛⠑⠇⠊⠎⠞⠑⠝⠑⠗
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠗⠑⠁⠥⠞⠓⠑⠝⠞⠊⠉⠁⠞⠊⠕⠝⠎⠥⠏⠏⠕⠗⠞⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠉⠇⠁⠎⠎⠿⠉⠕⠍⠨⠊⠃⠍⠨⠍⠟⠨⠉⠕⠝⠝⠑⠉⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠊⠍⠏⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠎⠑⠉⠥⠗⠊⠞⠽⠏⠑⠗⠍⠊⠎⠎⠊⠕⠝⠎⠌⠌
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠎⠑⠉⠥⠗⠊⠞⠽⠏⠑⠗⠍⠊⠎⠎⠊⠕⠝⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠐⠎⠑⠉⠥⠗⠊⠞⠽⠀⠏⠑⠗⠍⠊⠎⠎⠊⠕⠝⠎⠀⠋⠕⠗⠀⠞⠓⠑⠀⠚⠍⠎⠀⠉⠇⠊⠑⠝⠞⠐
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠎⠑⠉⠥⠗⠊⠞⠽⠏⠑⠗⠍⠊⠎⠎⠊⠕⠝⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠎⠿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠎⠑⠉⠥⠗⠊⠞⠽⠏⠑⠗⠍⠊⠎⠎⠊⠕⠝⠎⠨⠎⠏⠑⠉⠊⠋⠊⠉⠁⠞⠊⠕⠝⠿⠐⠳⠞⠳⠞⠳⠞⠳⠞⠛⠗⠁⠝⠞⠀⠀⠳⠞⠳⠞⠳⠞⠳⠞⠳⠞⠏⠑⠗⠍⠊⠎⠎⠊⠕⠝⠀⠚⠁⠧⠁⠨⠎⠑⠉⠥⠗⠊⠞⠽⠨⠁⠇⠇⠏⠑⠗⠍⠊⠎⠎⠊⠕⠝⠰⠀⠳⠞⠳⠞⠳⠞⠳⠞⠰⠳⠞⠳⠞⠳⠞⠐
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗⠨⠞⠗⠁⠝⠎⠁⠉⠞⠊⠕⠝⠎⠥⠏⠏⠕⠗⠞⠿⠭⠁⠞⠗⠁⠝⠎⠁⠉⠞⠊⠕⠝
⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠎⠏⠑⠉⠧⠑⠗⠎⠊⠕⠝⠿⠂⠨⠢
⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠊⠃⠍⠐⠾⠨⠐⠿
⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠧⠑⠝⠙⠕⠗⠝⠁⠍⠑⠿⠐⠊⠝⠞⠑⠗⠝⠁⠞⠊⠕⠝⠁⠇⠀⠃⠥⠎⠊⠝⠑⠎⠎⠀⠍⠁⠉⠓⠊⠝⠑⠎⠀⠉⠕⠗⠏⠕⠗⠁⠞⠊⠕⠝⠀⠷⠐
⠀⠀⠀⠀⠀⠙⠑⠏⠇⠕⠽⠍⠑⠝⠞⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗⠨⠧⠑⠗⠎⠊⠕⠝⠿⠶⠨⠴⠨⠂⠨⠒⠤⠅⠶⠴⠂⠤⠂⠴⠒⠤⠂⠴⠴⠦⠂⠆
⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠐⠺⠁⠎⠀⠶⠨⠴⠨⠴⠨⠂⠀⠃⠥⠊⠇⠞⠀⠊⠝⠀⠺⠑⠃⠎⠏⠓⠑⠗⠑⠀⠍⠟⠀⠗⠑⠎⠕⠥⠗⠉⠑⠀⠁⠙⠁⠏⠞⠑⠗⠐
⠓⠁⠉⠁⠏⠁⠃⠊⠇⠊⠞⠽⠿⠗⠁⠸⠝⠕⠸⠓⠁
⠊⠎⠑⠝⠁⠃⠇⠑⠓⠁⠎⠥⠏⠏⠕⠗⠞⠿⠋⠁⠇⠎⠑
⠊⠎⠕⠇⠁⠞⠑⠙⠉⠇⠁⠎⠎⠇⠕⠁⠙⠑⠗⠿⠋⠁⠇⠎⠑
⠚⠆⠉⠁⠉⠞⠊⠧⠁⠞⠊⠕⠝⠎⠏⠑⠉⠿
⠚⠆⠉⠁⠙⠍⠊⠝⠕⠃⠚⠑⠉⠞⠎⠿
⠚⠁⠁⠎⠇⠕⠛⠊⠝⠉⠕⠝⠋⠊⠛⠥⠗⠁⠞⠊⠕⠝⠿
⠝⠁⠍⠑⠿⠐⠺⠑⠃⠎⠏⠓⠑⠗⠑⠀⠍⠟⠀⠗⠑⠎⠕⠥⠗⠉⠑⠀⠁⠙⠁⠏⠞⠑⠗⠐
⠝⠁⠞⠊⠧⠑⠏⠁⠞⠓⠿
⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠿
⠏⠗⠕⠏⠑⠗⠞⠽⠎⠑⠞⠌⠌
⠀⠀⠀⠀⠀⠏⠗⠕⠏⠑⠗⠞⠽⠎⠑⠞⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠌⠌
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠗⠕⠏⠑⠗⠞⠽⠎⠑⠞⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠉⠕⠝⠝⠑⠉⠞⠊⠕⠝⠉⠕⠝⠉⠥⠗⠗⠑⠝⠉⠽
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠗⠕⠏⠑⠗⠞⠽⠎⠑⠞⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠉⠕⠝⠝⠑⠉⠞⠊⠕⠝⠉⠕⠝⠉⠥⠗⠗⠑⠝⠉⠽
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠗⠕⠏⠑⠗⠞⠽⠎⠑⠞⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠗⠕⠏⠑⠗⠞⠽⠎⠑⠞⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠊⠝⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠗⠕⠏⠑⠗⠞⠽⠎⠑⠞⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠢
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠗⠕⠏⠑⠗⠞⠽⠎⠑⠞⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠍⠁⠭⠉⠕⠝⠝⠑⠉⠞⠊⠕⠝⠎
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠗⠕⠏⠑⠗⠞⠽⠎⠑⠞⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠍⠁⠭⠉⠕⠝⠝⠑⠉⠞⠊⠕⠝⠎
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠗⠕⠏⠑⠗⠞⠽⠎⠑⠞⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠗⠕⠏⠑⠗⠞⠽⠎⠑⠞⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠊⠝⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠗⠕⠏⠑⠗⠞⠽⠎⠑⠞⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠂⠴
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠗⠕⠏⠑⠗⠞⠽⠎⠑⠞⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠇⠕⠛⠺⠗⠊⠞⠑⠗⠑⠝⠁⠃⠇⠑⠙
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠗⠕⠏⠑⠗⠞⠽⠎⠑⠞⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠇⠕⠛⠺⠗⠊⠞⠑⠗⠑⠝⠁⠃⠇⠑⠙
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠗⠕⠏⠑⠗⠞⠽⠎⠑⠞⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠗⠕⠏⠑⠗⠞⠽⠎⠑⠞⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠃⠕⠕⠇⠑⠁⠝
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠗⠕⠏⠑⠗⠞⠽⠎⠑⠞⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠞⠗⠥⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠗⠕⠏⠑⠗⠞⠽⠎⠑⠞⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠗⠑⠉⠕⠝⠝⠑⠉⠞⠊⠕⠝⠗⠑⠞⠗⠽⠉⠕⠥⠝⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠗⠕⠏⠑⠗⠞⠽⠎⠑⠞⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠗⠑⠉⠕⠝⠝⠑⠉⠞⠊⠕⠝⠗⠑⠞⠗⠽⠉⠕⠥⠝⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠗⠕⠏⠑⠗⠞⠽⠎⠑⠞⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠗⠕⠏⠑⠗⠞⠽⠎⠑⠞⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠊⠝⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠗⠕⠏⠑⠗⠞⠽⠎⠑⠞⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠢
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠗⠕⠏⠑⠗⠞⠽⠎⠑⠞⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠗⠑⠉⠕⠝⠝⠑⠉⠞⠊⠕⠝⠗⠑⠞⠗⠽⠊⠝⠞⠑⠗⠧⠁⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠗⠕⠏⠑⠗⠞⠽⠎⠑⠞⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠗⠑⠉⠕⠝⠝⠑⠉⠞⠊⠕⠝⠗⠑⠞⠗⠽⠊⠝⠞⠑⠗⠧⠁⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠗⠕⠏⠑⠗⠞⠽⠎⠑⠞⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠗⠕⠏⠑⠗⠞⠽⠎⠑⠞⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠊⠝⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠗⠕⠏⠑⠗⠞⠽⠎⠑⠞⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠒⠴⠴⠴⠴⠴
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠗⠕⠏⠑⠗⠞⠽⠎⠑⠞⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠞⠗⠁⠉⠑⠑⠝⠁⠃⠇⠑⠙
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠗⠕⠏⠑⠗⠞⠽⠎⠑⠞⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠞⠗⠁⠉⠑⠑⠝⠁⠃⠇⠑⠙
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠗⠕⠏⠑⠗⠞⠽⠎⠑⠞⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠗⠕⠏⠑⠗⠞⠽⠎⠑⠞⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠃⠕⠕⠇⠑⠁⠝
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠗⠕⠏⠑⠗⠞⠽⠎⠑⠞⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠗⠕⠏⠑⠗⠞⠽⠎⠑⠞⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠙⠑⠎⠉⠗⠊⠏⠞⠊⠕⠝⠿⠞⠗⠁⠉⠑⠇⠑⠧⠑⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠗⠕⠏⠑⠗⠞⠽⠎⠑⠞⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠝⠁⠍⠑⠿⠞⠗⠁⠉⠑⠇⠑⠧⠑⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠗⠕⠏⠑⠗⠞⠽⠎⠑⠞⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠗⠑⠟⠥⠊⠗⠑⠙⠿⠋⠁⠇⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠗⠕⠏⠑⠗⠞⠽⠎⠑⠞⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠞⠽⠏⠑⠿⠊⠝⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠗⠕⠏⠑⠗⠞⠽⠎⠑⠞⠨⠗⠑⠎⠕⠥⠗⠉⠑⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠨⠧⠁⠇⠥⠑⠿⠒
⠎⠊⠝⠛⠇⠑⠞⠕⠝⠿⠋⠁⠇⠎⠑
⠞⠓⠗⠑⠁⠙⠏⠕⠕⠇⠁⠇⠊⠁⠎⠿⠺⠍⠟⠚⠉⠁⠗⠑⠎⠕⠥⠗⠉⠑⠁⠙⠁⠏⠞⠑⠗