Forum Discussion

Patrick2788's avatar
Patrick2788
Silver Contributor
Mar 29, 2023
Solved

Solving an 0 1 Knapsack Problem with LAMBDA

A Knapsack Problem is defined as: Given a set of items, each with a weight and a value, determine which items to include in the collection so that the total weight is less than or equal to a given l...
excel
Formulas and Functions
office 365
  • JosWoolley's avatar
    JosWoolley
    Mar 30, 2023

    Patrick2788 

     

    I think I'd prefer to avoid any recursion or LAMBDAs and resort to some good old-fashioned matrix multiplication!

     

    =LET(
    α,benefit,
    β,weight,
    γ,COUNT(α),
    δ,MOD(INT(SEQUENCE(2^γ,,0)/2^SEQUENCE(,γ,0)),2),
    ε,MMULT(δ,TOCOL(α)),
    ζ,MMULT(δ,TOCOL(β)),
    η,ζ<=cap,
    TEXTJOIN(",",,
        FILTER(item,INDEX(δ,MATCH(MAX(FILTER(ε,η)),IF(η,ε),0)),0)
    )
)

     

    No doubt this could be refined, though the basic outline is there.

davidleal's avatar
davidleal
Iron Contributor
Mar 31, 2023

This is an interesting approach, but you have a limitation with binary numbers, the maximum number of digits is 10. Other than that it is great for generating the sequence and then splitting it:

 

=MID(DEC2BIN(SEQUENCE(2^5-1),5),SEQUENCE(,5),1)

 

 

Patrick2788's avatar
Patrick2788
Silver Contributor
Mar 31, 2023

davidleal 

I've seen some workarounds using concatenation to get around that 10 digit limit.

 

 

Here's my second take on Knapsack.

 

CombinMatrix
=LET(
    n, COUNT(item),
    combinations, SUM(COMBIN(n, SEQUENCE(n))),
    MAKEARRAY(combinations, n, LAMBDA(r, c, 1 * MID(DEC2BIN(r, 5), c, 1)))
)

Sheet level formula:
=LET(
    filtered, FILTER(CombinMatrix, MMULT(CombinMatrix, TOCOL(weight)) <= cap),
    b, MMULT(filtered, TOCOL(benefit)),
    stack, HSTACK(filtered, b),
    TAKE(DROP(SORT(stack, COUNT(item) + 1, -1), , -1), 1)
)

 

I've added an Include line:

 

Resources

"}},"componentScriptGroups({\"componentId\":\"custom.widget.MicrosoftFooter\"})":{"__typename":"ComponentScriptGroups","scriptGroups":{"__typename":"ComponentScriptGroupsDefinition","afterInteractive":{"__typename":"PageScriptGroupDefinition","group":"AFTER_INTERACTIVE","scriptIds":[]},"lazyOnLoad":{"__typename":"PageScriptGroupDefinition","group":"LAZY_ON_LOAD","scriptIds":[]}},"componentScripts":[]},"cachedText({\"lastModified\":\"1745505309826\",\"locale\":\"en-US\",\"namespaces\":[\"components/community/NavbarDropdownToggle\"]})":[{"__ref":"CachedAsset:text:en_US-components/community/NavbarDropdownToggle-1745505309826"}],"cachedText({\"lastModified\":\"1745505309826\",\"locale\":\"en-US\",\"namespaces\":[\"shared/client/components/common/QueryHandler\"]})":[{"__ref":"CachedAsset:text:en_US-shared/client/components/common/QueryHandler-1745505309826"}],"cachedText({\"lastModified\":\"1745505309826\",\"locale\":\"en-US\",\"namespaces\":[\"components/messages/EscalatedMessageBanner\"]})":[{"__ref":"CachedAsset:text:en_US-components/messages/EscalatedMessageBanner-1745505309826"}],"cachedText({\"lastModified\":\"1745505309826\",\"locale\":\"en-US\",\"namespaces\":[\"components/users/UserLink\"]})":[{"__ref":"CachedAsset:text:en_US-components/users/UserLink-1745505309826"}],"cachedText({\"lastModified\":\"1745505309826\",\"locale\":\"en-US\",\"namespaces\":[\"shared/client/components/users/UserRank\"]})":[{"__ref":"CachedAsset:text:en_US-shared/client/components/users/UserRank-1745505309826"}],"cachedText({\"lastModified\":\"1745505309826\",\"locale\":\"en-US\",\"namespaces\":[\"components/messages/MessageTime\"]})":[{"__ref":"CachedAsset:text:en_US-components/messages/MessageTime-1745505309826"}],"cachedText({\"lastModified\":\"1745505309826\",\"locale\":\"en-US\",\"namespaces\":[\"components/messages/MessageSolvedBadge\"]})":[{"__ref":"CachedAsset:text:en_US-components/messages/MessageSolvedBadge-1745505309826"}],"cachedText({\"lastModified\":\"1745505309826\",\"locale\":\"en-US\",\"namespaces\":[\"components/messages/MessageSubject\"]})":[{"__ref":"CachedAsset:text:en_US-components/messages/MessageSubject-1745505309826"}],"cachedText({\"lastModified\":\"1745505309826\",\"locale\":\"en-US\",\"namespaces\":[\"components/messages/MessageBody\"]})":[{"__ref":"CachedAsset:text:en_US-components/messages/MessageBody-1745505309826"}],"cachedText({\"lastModified\":\"1745505309826\",\"locale\":\"en-US\",\"namespaces\":[\"components/messages/MessageCustomFields\"]})":[{"__ref":"CachedAsset:text:en_US-components/messages/MessageCustomFields-1745505309826"}],"cachedText({\"lastModified\":\"1745505309826\",\"locale\":\"en-US\",\"namespaces\":[\"components/messages/MessageReplyButton\"]})":[{"__ref":"CachedAsset:text:en_US-components/messages/MessageReplyButton-1745505309826"}],"cachedText({\"lastModified\":\"1745505309826\",\"locale\":\"en-US\",\"namespaces\":[\"components/messages/MessageSolutionList\"]})":[{"__ref":"CachedAsset:text:en_US-components/messages/MessageSolutionList-1745505309826"}],"message({\"id\":\"message:3782575\"})":{"__ref":"ForumTopicMessage:message:3782575"},"messages({\"constraints\":{\"solution\":{\"eq\":true},\"topicId\":{\"eq\":\"message:3782575\"}},\"first\":10,\"sorts\":{\"postTime\":{\"direction\":\"ASC\"}}})":{"__typename":"MessageConnection","edges":[{"__typename":"MessageEdge","cursor":"MjUuMXwyLjF8aXwxMHwxMzI6MXxpbnQsMzc4MzUyMiwzNzgzNTIy","node":{"__ref":"AcceptedSolutionMessage:message:3783522"}}],"pageInfo":{"__typename":"PageInfo","hasNextPage":false,"endCursor":null},"totalCount":1},"cachedText({\"lastModified\":\"1745505309826\",\"locale\":\"en-US\",\"namespaces\":[\"shared/client/components/users/UserAvatar\"]})":[{"__ref":"CachedAsset:text:en_US-shared/client/components/users/UserAvatar-1745505309826"}],"cachedText({\"lastModified\":\"1745505309826\",\"locale\":\"en-US\",\"namespaces\":[\"shared/client/components/ranks/UserRankLabel\"]})":[{"__ref":"CachedAsset:text:en_US-shared/client/components/ranks/UserRankLabel-1745505309826"}],"cachedText({\"lastModified\":\"1745505309826\",\"locale\":\"en-US\",\"namespaces\":[\"components/attachments/AttachmentView/AttachmentViewChip\"]})":[{"__ref":"CachedAsset:text:en_US-components/attachments/AttachmentView/AttachmentViewChip-1745505309826"}],"cachedText({\"lastModified\":\"1745505309826\",\"locale\":\"en-US\",\"namespaces\":[\"components/messages/AcceptedSolutionButton\"]})":[{"__ref":"CachedAsset:text:en_US-components/messages/AcceptedSolutionButton-1745505309826"}],"cachedText({\"lastModified\":\"1745505309826\",\"locale\":\"en-US\",\"namespaces\":[\"components/messages/ThreadedReplyList\"]})":[{"__ref":"CachedAsset:text:en_US-components/messages/ThreadedReplyList-1745505309826"}],"message({\"id\":\"message:3783522\"})":{"__ref":"AcceptedSolutionMessage:message:3783522"},"message({\"id\":\"message:3784518\"})":{"__ref":"ForumReplyMessage:message:3784518"},"cachedText({\"lastModified\":\"1745505309826\",\"locale\":\"en-US\",\"namespaces\":[\"components/tags/TagView/TagViewChip\"]})":[{"__ref":"CachedAsset:text:en_US-components/tags/TagView/TagViewChip-1745505309826"}]},"CachedAsset:pages-1745484442433":{"__typename":"CachedAsset","id":"pages-1745484442433","value":[{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"BlogViewAllPostsPage","type":"BLOG","urlPath":"/category/:categoryId/blog/:boardId/all-posts/(/:after|/:before)?","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"CasePortalPage","type":"CASE_PORTAL","urlPath":"/caseportal","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"CreateGroupHubPage","type":"GROUP_HUB","urlPath":"/groups/create","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"CaseViewPage","type":"CASE_DETAILS","urlPath":"/case/:caseId/:caseNumber","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"InboxPage","type":"COMMUNITY","urlPath":"/inbox","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"HelpFAQPage","type":"COMMUNITY","urlPath":"/help","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"IdeaMessagePage","type":"IDEA_POST","urlPath":"/idea/:boardId/:messageSubject/:messageId","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"IdeaViewAllIdeasPage","type":"IDEA","urlPath":"/category/:categoryId/ideas/:boardId/all-ideas/(/:after|/:before)?","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"LoginPage","type":"USER","urlPath":"/signin","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"BlogPostPage","type":"BLOG","urlPath":"/category/:categoryId/blogs/:boardId/create","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"UserBlogPermissions.Page","type":"COMMUNITY","urlPath":"/c/user-blog-permissions/page","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"ThemeEditorPage","type":"COMMUNITY","urlPath":"/designer/themes","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"TkbViewAllArticlesPage","type":"TKB","urlPath":"/category/:categoryId/kb/:boardId/all-articles/(/:after|/:before)?","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1730819800000,"localOverride":null,"page":{"id":"AllEvents","type":"CUSTOM","urlPath":"/Events","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"OccasionEditPage","type":"EVENT","urlPath":"/event/:boardId/:messageSubject/:messageId/edit","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"OAuthAuthorizationAllowPage","type":"USER","urlPath":"/auth/authorize/allow","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"PageEditorPage","type":"COMMUNITY","urlPath":"/designer/pages","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"PostPage","type":"COMMUNITY","urlPath":"/category/:categoryId/:boardId/create","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"ForumBoardPage","type":"FORUM","urlPath":"/category/:categoryId/discussions/:boardId","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"TkbBoardPage","type":"TKB","urlPath":"/category/:categoryId/kb/:boardId","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"EventPostPage","type":"EVENT","urlPath":"/category/:categoryId/events/:boardId/create","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"UserBadgesPage","type":"COMMUNITY","urlPath":"/users/:login/:userId/badges","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"GroupHubMembershipAction","type":"GROUP_HUB","urlPath":"/membership/join/:nodeId/:membershipType","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"MaintenancePage","type":"COMMUNITY","urlPath":"/maintenance","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"IdeaReplyPage","type":"IDEA_REPLY","urlPath":"/idea/:boardId/:messageSubject/:messageId/comments/:replyId","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"UserSettingsPage","type":"USER","urlPath":"/mysettings/:userSettingsTab","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"GroupHubsPage","type":"GROUP_HUB","urlPath":"/groups","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"ForumPostPage","type":"FORUM","urlPath":"/category/:categoryId/discussions/:boardId/create","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"OccasionRsvpActionPage","type":"OCCASION","urlPath":"/event/:boardId/:messageSubject/:messageId/rsvp/:responseType","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"VerifyUserEmailPage","type":"USER","urlPath":"/verifyemail/:userId/:verifyEmailToken","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"AllOccasionsPage","type":"OCCASION","urlPath":"/category/:categoryId/events/:boardId/all-events/(/:after|/:before)?","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"EventBoardPage","type":"EVENT","urlPath":"/category/:categoryId/events/:boardId","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"TkbReplyPage","type":"TKB_REPLY","urlPath":"/kb/:boardId/:messageSubject/:messageId/comments/:replyId","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"IdeaBoardPage","type":"IDEA","urlPath":"/category/:categoryId/ideas/:boardId","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"CommunityGuideLinesPage","type":"COMMUNITY","urlPath":"/communityguidelines","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"CaseCreatePage","type":"SALESFORCE_CASE_CREATION","urlPath":"/caseportal/create","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"TkbEditPage","type":"TKB","urlPath":"/kb/:boardId/:messageSubject/:messageId/edit","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"ForgotPasswordPage","type":"USER","urlPath":"/forgotpassword","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"IdeaEditPage","type":"IDEA","urlPath":"/idea/:boardId/:messageSubject/:messageId/edit","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"TagPage","type":"COMMUNITY","urlPath":"/tag/:tagName","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"BlogBoardPage","type":"BLOG","urlPath":"/category/:categoryId/blog/:boardId","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"OccasionMessagePage","type":"OCCASION_TOPIC","urlPath":"/event/:boardId/:messageSubject/:messageId","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"ManageContentPage","type":"COMMUNITY","urlPath":"/managecontent","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"ClosedMembershipNodeNonMembersPage","type":"GROUP_HUB","urlPath":"/closedgroup/:groupHubId","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"CommunityPage","type":"COMMUNITY","urlPath":"/","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"ForumMessagePage","type":"FORUM_TOPIC","urlPath":"/discussions/:boardId/:messageSubject/:messageId","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"IdeaPostPage","type":"IDEA","urlPath":"/category/:categoryId/ideas/:boardId/create","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1730819800000,"localOverride":null,"page":{"id":"CommunityHub.Page","type":"CUSTOM","urlPath":"/Directory","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"BlogMessagePage","type":"BLOG_ARTICLE","urlPath":"/blog/:boardId/:messageSubject/:messageId","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"RegistrationPage","type":"USER","urlPath":"/register","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"EditGroupHubPage","type":"GROUP_HUB","urlPath":"/group/:groupHubId/edit","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"ForumEditPage","type":"FORUM","urlPath":"/discussions/:boardId/:messageSubject/:messageId/edit","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"ResetPasswordPage","type":"USER","urlPath":"/resetpassword/:userId/:resetPasswordToken","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1730819800000,"localOverride":null,"page":{"id":"AllBlogs.Page","type":"CUSTOM","urlPath":"/blogs","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"TkbMessagePage","type":"TKB_ARTICLE","urlPath":"/kb/:boardId/:messageSubject/:messageId","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"BlogEditPage","type":"BLOG","urlPath":"/blog/:boardId/:messageSubject/:messageId/edit","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"ManageUsersPage","type":"USER","urlPath":"/users/manage/:tab?/:manageUsersTab?","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"ForumReplyPage","type":"FORUM_REPLY","urlPath":"/discussions/:boardId/:messageSubject/:messageId/replies/:replyId","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"PrivacyPolicyPage","type":"COMMUNITY","urlPath":"/privacypolicy","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"NotificationPage","type":"COMMUNITY","urlPath":"/notifications","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"UserPage","type":"USER","urlPath":"/users/:login/:userId","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"OccasionReplyPage","type":"OCCASION_REPLY","urlPath":"/event/:boardId/:messageSubject/:messageId/comments/:replyId","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"ManageMembersPage","type":"GROUP_HUB","urlPath":"/group/:groupHubId/manage/:tab?","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"SearchResultsPage","type":"COMMUNITY","urlPath":"/search","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"BlogReplyPage","type":"BLOG_REPLY","urlPath":"/blog/:boardId/:messageSubject/:messageId/replies/:replyId","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"GroupHubPage","type":"GROUP_HUB","urlPath":"/group/:groupHubId","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"TermsOfServicePage","type":"COMMUNITY","urlPath":"/termsofservice","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"CategoryPage","type":"CATEGORY","urlPath":"/category/:categoryId","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"ForumViewAllTopicsPage","type":"FORUM","urlPath":"/category/:categoryId/discussions/:boardId/all-topics/(/:after|/:before)?","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"TkbPostPage","type":"TKB","urlPath":"/category/:categoryId/kbs/:boardId/create","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1745484442433,"localOverride":null,"page":{"id":"GroupHubPostPage","type":"GROUP_HUB","urlPath":"/group/:groupHubId/:boardId/create","__typename":"PageDescriptor"},"__typename":"PageResource"}],"localOverride":false},"CachedAsset:text:en_US-components/context/AppContext/AppContextProvider-0":{"__typename":"CachedAsset","id":"text:en_US-components/context/AppContext/AppContextProvider-0","value":{"noCommunity":"Cannot find community","noUser":"Cannot find current user","noNode":"Cannot find node with id {nodeId}","noMessage":"Cannot find message with id {messageId}"},"localOverride":false},"CachedAsset:text:en_US-shared/client/components/common/Loading/LoadingDot-0":{"__typename":"CachedAsset","id":"text:en_US-shared/client/components/common/Loading/LoadingDot-0","value":{"title":"Loading..."},"localOverride":false},"User:user:-1":{"__typename":"User","id":"user:-1","uid":-1,"login":"Deleted","email":"","avatar":null,"rank":null,"kudosWeight":1,"registrationData":{"__typename":"RegistrationData","status":"ANONYMOUS","registrationTime":null,"confirmEmailStatus":false,"registrationAccessLevel":"VIEW","ssoRegistrationFields":[]},"ssoId":null,"profileSettings":{"__typename":"ProfileSettings","dateDisplayStyle":{"__typename":"InheritableStringSettingWithPossibleValues","key":"layout.friendly_dates_enabled","value":"false","localValue":"true","possibleValues":["true","false"]},"dateDisplayFormat":{"__typename":"InheritableStringSetting","key":"layout.format_pattern_date","value":"MMM dd yyyy","localValue":"MM-dd-yyyy"},"language":{"__typename":"InheritableStringSettingWithPossibleValues","key":"profile.language","value":"en-US","localValue":"en","possibleValues":["en-US"]}},"deleted":false},"Theme:customTheme1":{"__typename":"Theme","id":"customTheme1"},"Category:category:microsoft365":{"__typename":"Category","id":"category:microsoft365","entityType":"CATEGORY","displayId":"microsoft365","nodeType":"category","depth":3,"title":"Microsoft 365","shortTitle":"Microsoft 365","parent":{"__ref":"Category:category:products-services"},"categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:top":{"__typename":"Category","id":"category:top","displayId":"top","nodeType":"category","depth":0,"title":"Top","entityType":"CATEGORY","shortTitle":"Top"},"Category:category:communities":{"__typename":"Category","id":"category:communities","displayId":"communities","nodeType":"category","depth":1,"parent":{"__ref":"Category:category:top"},"title":"Communities","entityType":"CATEGORY","shortTitle":"Communities"},"Category:category:products-services":{"__typename":"Category","id":"category:products-services","displayId":"products-services","nodeType":"category","depth":2,"parent":{"__ref":"Category:category:communities"},"title":"Products","entityType":"CATEGORY","shortTitle":"Products"},"Forum:board:ExcelGeneral":{"__typename":"Forum","id":"board:ExcelGeneral","entityType":"FORUM","displayId":"ExcelGeneral","nodeType":"board","depth":4,"conversationStyle":"FORUM","title":"Excel","description":"Your community for how-to discussions and sharing best practices on Microsoft Excel. If you’re looking for technical support, please visit Microsoft Support Community.","avatar":null,"profileSettings":{"__typename":"ProfileSettings","language":null},"parent":{"__ref":"Category:category:microsoft365"},"ancestors":{"__typename":"CoreNodeConnection","edges":[{"__typename":"CoreNodeEdge","node":{"__ref":"Community:community:gxcuf89792"}},{"__typename":"CoreNodeEdge","node":{"__ref":"Category:category:communities"}},{"__typename":"CoreNodeEdge","node":{"__ref":"Category:category:products-services"}},{"__typename":"CoreNodeEdge","node":{"__ref":"Category:category:microsoft365"}}]},"userContext":{"__typename":"NodeUserContext","canAddAttachments":false,"canUpdateNode":false,"canPostMessages":false,"isSubscribed":false},"boardPolicies":{"__typename":"BoardPolicies","canPublishArticleOnCreate":{"__typename":"PolicyResult","failureReason":{"__typename":"FailureReason","message":"error.lithium.policies.forums.policy_can_publish_on_create_workflow_action.accessDenied","key":"error.lithium.policies.forums.policy_can_publish_on_create_workflow_action.accessDenied","args":[]}}},"shortTitle":"Excel","repliesProperties":{"__typename":"RepliesProperties","sortOrder":"REVERSE_PUBLISH_TIME","repliesFormat":"threaded"},"tagProperties":{"__typename":"TagNodeProperties","tagsEnabled":{"__typename":"PolicyResult","failureReason":null}},"requireTags":true,"tagType":"PRESET_ONLY","eventPath":"category:microsoft365/category:products-services/category:communities/community:gxcuf89792board:ExcelGeneral/"},"Rank:rank:32":{"__typename":"Rank","id":"rank:32","position":13,"name":"Silver Contributor","color":"333333","icon":null,"rankStyle":"TEXT"},"User:user:428790":{"__typename":"User","id":"user:428790","uid":428790,"login":"Patrick2788","deleted":false,"avatar":{"__typename":"UserAvatar","url":"https://techcommunity.microsoft.com/t5/s/gxcuf89792/m_assets/avatars/default/avatar-9.svg?time=0"},"rank":{"__ref":"Rank:rank:32"},"email":"","messagesCount":2665,"biography":null,"topicsCount":23,"kudosReceivedCount":606,"kudosGivenCount":292,"kudosWeight":1,"registrationData":{"__typename":"RegistrationData","status":null,"registrationTime":"2019-10-18T05:57:35.843-07:00","confirmEmailStatus":null},"followersCount":null,"solutionsCount":268},"ForumTopicMessage:message:3782575":{"__typename":"ForumTopicMessage","uid":3782575,"subject":"Solving an 0 1 Knapsack Problem with LAMBDA","id":"message:3782575","revisionNum":1,"repliesCount":13,"author":{"__ref":"User:user:428790"},"depth":0,"hasGivenKudo":false,"board":{"__ref":"Forum:board:ExcelGeneral"},"conversation":{"__ref":"Conversation:conversation:3782575"},"readOnly":false,"editFrozen":false,"moderationData":{"__ref":"ModerationData:moderation_data:3782575"},"body@stripHtml({\"truncateLength\":200})":" A Knapsack Problem is defined as: Given a set of items, each with a weight and a value, determine which items to include in the collection so that the total weight is less than or equal to a given l...","body@stringLength":"4556","rawBody":"

A Knapsack Problem is defined as:

Given a set of items, each with a weight and a value, determine which items to include in the collection so that the total weight is less than or equal to a given limit and the total value is as large as possible. -Wikipedia

 

After studying 0 1 Knapsack Problems (A given item may only be selected once) and the techniques used to solve them, I sought to build formulas to solve a standard problem consisting of 5 items with various weights and benefits.

 

I considered generating a value matrix (array of arrays limitation - MAKEARRAY could only go so far) and creating a recursive Lambda (I couldn't conceptualize one and I didn't think it would be efficient memory-wise). 

 

The solution

I went back to a previous project's technique:

LAMBDA Halloween Challenge - Microsoft Community Hub

 

That challenge was all about generating the COMBINA results.  The way I see an 0 1 Knapsack is essentially generating COMBIN results and then determining which combination is the greatest benefit without going over the capacity.

 

First, I created the 'Shuffle' function which takes a value produced from SEQUENCE and excludes any numbers >5 (total number of items) and removes values where a number repeats (e.g. 122 and 123 vs 321).

 

Shuffle\n=LAMBDA(scalar,LET(\n arr, 1 * MID(scalar, SEQUENCE(, LEN(scalar)), 1),\n filtered, FILTER(arr, arr <= 5, 0),\n sorted, SORT(UNIQUE(filtered, 1), , , 1),\n IF(TAKE(sorted, , 1) = 0, 0, sorted)\n))

 

Then I created a function to be called within REDUCE:

 

GenerateCombin\n=LAMBDA(a,v,VSTACK(a, EXPAND(Shuffle(v), , 5, 0)))

 

This is the most resource intensive part of the project because if SEQUENCE goes into 5 digits, REDUCE will struggle to stack.  I added a check to determine if picking all 5 items exceeds the limit so there's no need to go into 5 digits with SEQUENCE!

 

=LET(\n r, IF(SUM(weight) > cap, 2345, 12345),\n distinct, UNIQUE(DROP(REDUCE(0, SEQUENCE(r), GenerateCombin), 1)),\n DROP(SORT(distinct), 1)\n)

 

'Solve' to be called within BYROW.  This function checks the CombinMatrix and totals up the Benefit and Weight for each combination.  It strings together the results in each cell.

 

 

=LAMBDA(row,LET(\n w, SUM(XLOOKUP(row, item, weight, 0)),\n b, SUM(XLOOKUP(row, item, benefit, 0)),\n IF(\n w <= cap,\n \"Items: \" & TEXTJOIN(\", \", , TEXT(row, \"0;;;\")) & CHAR(10) & \"Benefit: \" & b & CHAR(10) &\n \"Weight: \" & w,\n NA()\n )\n))

 

 

At the sheet level:

 

=LET(results,TOCOL(BYROW(CombinMatrix,Solve),2),WRAPROWS(results,4,\"\"))

 

 The results:

 

The question for the community:  Can you conceptualize an easier way to do this?  Formula-based solutions only, please.

 

","kudosSumWeight":1,"postTime":"2023-03-29T12:04:53.456-07:00","images":{"__typename":"AssociatedImageConnection","edges":[{"__typename":"AssociatedImageEdge","cursor":"MjUuMXwyLjF8b3wyNXxfTlZffDE","node":{"__ref":"AssociatedImage:{\"url\":\"https://techcommunity.microsoft.com/t5/s/gxcuf89792/images/bS0zNzgyNTc1LTQ1NTcxMmk3RkIxNUYyMDZBNTBFQzdB?revision=1\"}"}},{"__typename":"AssociatedImageEdge","cursor":"MjUuMXwyLjF8b3wyNXxfTlZffDI","node":{"__ref":"AssociatedImage:{\"url\":\"https://techcommunity.microsoft.com/t5/s/gxcuf89792/images/bS0zNzgyNTc1LTQ1NTcxOWk1QUE0MTNBRjc4RDIzMTYx?revision=1\"}"}}],"totalCount":2,"pageInfo":{"__typename":"PageInfo","hasNextPage":false,"endCursor":null,"hasPreviousPage":false,"startCursor":null}},"attachments":{"__typename":"AttachmentConnection","pageInfo":{"__typename":"PageInfo","hasNextPage":false,"endCursor":null,"hasPreviousPage":false,"startCursor":null},"edges":[{"__typename":"AttachmentEdge","cursor":"MjUuMXwyLjF8b3w1fF9OVl98MQ","node":{"__ref":"Attachment:{\"id\":\"attachment:message3782575AttachmentNumber1\",\"url\":\"https://techcommunity.microsoft.com/t5/s/gxcuf89792/attachments/gxcuf89792/ExcelGeneral/186734/1/Solving%20an%200%201%20Knapsack%20Problem%20with%20LAMBDA.xlsx\"}"}}]},"tags":{"__typename":"TagConnection","pageInfo":{"__typename":"PageInfo","hasNextPage":false,"endCursor":null,"hasPreviousPage":false,"startCursor":null},"edges":[{"__typename":"TagEdge","cursor":"MjUuMXwyLjF8b3wxMHxfTlZffDE","node":{"__typename":"Tag","id":"tag:excel","text":"excel","time":"2016-06-21T14:08:51.129-07:00","lastActivityTime":null,"messagesCount":null,"followersCount":null}},{"__typename":"TagEdge","cursor":"MjUuMXwyLjF8b3wxMHxfTlZffDI","node":{"__typename":"Tag","id":"tag:Formulas and Functions","text":"Formulas and Functions","time":"2016-06-24T14:00:56.974-07:00","lastActivityTime":null,"messagesCount":null,"followersCount":null}},{"__typename":"TagEdge","cursor":"MjUuMXwyLjF8b3wxMHxfTlZffDM","node":{"__typename":"Tag","id":"tag:office 365","text":"office 365","time":"2016-06-27T01:27:02.990-07:00","lastActivityTime":null,"messagesCount":null,"followersCount":null}}]},"timeToRead":2,"currentRevision":{"__ref":"Revision:revision:3782575_1"},"latestVersion":null,"metrics":{"__typename":"MessageMetrics","views":7456},"visibilityScope":"PUBLIC","canonicalUrl":null,"seoTitle":null,"seoDescription":null,"isEscalated":null,"placeholder":false,"originalMessageForPlaceholder":null,"messagePolicies":{"__typename":"MessagePolicies","canModerateSpamMessage":{"__typename":"PolicyResult","failureReason":{"__typename":"FailureReason","message":"error.lithium.policies.feature.moderation_spam.action.moderate_entity.allowed.accessDenied","key":"error.lithium.policies.feature.moderation_spam.action.moderate_entity.allowed.accessDenied","args":[]}}},"archivalData":null,"customFields":[],"body":"

A Knapsack Problem is defined as:

Given a set of items, each with a weight and a value, determine which items to include in the collection so that the total weight is less than or equal to a given limit and the total value is as large as possible. -Wikipedia

 

After studying 0 1 Knapsack Problems (A given item may only be selected once) and the techniques used to solve them, I sought to build formulas to solve a standard problem consisting of 5 items with various weights and benefits.

 

I considered generating a value matrix (array of arrays limitation - MAKEARRAY could only go so far) and creating a recursive Lambda (I couldn't conceptualize one and I didn't think it would be efficient memory-wise). 

 

The solution

I went back to a previous project's technique:

LAMBDA Halloween Challenge - Microsoft Community Hub

 

That challenge was all about generating the COMBINA results.  The way I see an 0 1 Knapsack is essentially generating COMBIN results and then determining which combination is the greatest benefit without going over the capacity.

 

First, I created the 'Shuffle' function which takes a value produced from SEQUENCE and excludes any numbers >5 (total number of items) and removes values where a number repeats (e.g. 122 and 123 vs 321).

 

Shuffle\n=LAMBDA(scalar,LET(\n    arr, 1 * MID(scalar, SEQUENCE(, LEN(scalar)), 1),\n    filtered, FILTER(arr, arr <= 5, 0),\n    sorted, SORT(UNIQUE(filtered, 1), , , 1),\n    IF(TAKE(sorted, , 1) = 0, 0, sorted)\n))

 

Then I created a function to be called within REDUCE:

 

GenerateCombin\n=LAMBDA(a,v,VSTACK(a, EXPAND(Shuffle(v), , 5, 0)))

 

This is the most resource intensive part of the project because if SEQUENCE goes into 5 digits, REDUCE will struggle to stack.  I added a check to determine if picking all 5 items exceeds the limit so there's no need to go into 5 digits with SEQUENCE!

 

=LET(\n    r, IF(SUM(weight) > cap, 2345, 12345),\n    distinct, UNIQUE(DROP(REDUCE(0, SEQUENCE(r), GenerateCombin), 1)),\n    DROP(SORT(distinct), 1)\n)

 

'Solve' to be called within BYROW.  This function checks the CombinMatrix and totals up the Benefit and Weight for each combination.  It strings together the results in each cell.

 

 

=LAMBDA(row,LET(\n    w, SUM(XLOOKUP(row, item, weight, 0)),\n    b, SUM(XLOOKUP(row, item, benefit, 0)),\n    IF(\n        w <= cap,\n        \"Items: \" & TEXTJOIN(\", \", , TEXT(row, \"0;;;\")) & CHAR(10) & \"Benefit: \" & b & CHAR(10) &\n            \"Weight: \" & w,\n        NA()\n    )\n))

 

 

At the sheet level:

 

=LET(results,TOCOL(BYROW(CombinMatrix,Solve),2),WRAPROWS(results,4,\"\"))

 

 The results:

 

The question for the community:  Can you conceptualize an easier way to do this?  Formula-based solutions only, please.

 

"},"Conversation:conversation:3782575":{"__typename":"Conversation","id":"conversation:3782575","solved":true,"topic":{"__ref":"ForumTopicMessage:message:3782575"},"lastPostingActivityTime":"2023-04-08T04:30:18.613-07:00","lastPostTime":"2023-04-08T04:30:18.613-07:00","unreadReplyCount":13,"isSubscribed":false},"ModerationData:moderation_data:3782575":{"__typename":"ModerationData","id":"moderation_data:3782575","status":"APPROVED","rejectReason":null,"isReportedAbuse":false,"rejectUser":null,"rejectTime":null,"rejectActorType":null},"AssociatedImage:{\"url\":\"https://techcommunity.microsoft.com/t5/s/gxcuf89792/images/bS0zNzgyNTc1LTQ1NTcxMmk3RkIxNUYyMDZBNTBFQzdB?revision=1\"}":{"__typename":"AssociatedImage","url":"https://techcommunity.microsoft.com/t5/s/gxcuf89792/images/bS0zNzgyNTc1LTQ1NTcxMmk3RkIxNUYyMDZBNTBFQzdB?revision=1","title":"Patrick2788_0-1680113878980.png","associationType":"BODY","width":1024,"height":887,"altText":null},"AssociatedImage:{\"url\":\"https://techcommunity.microsoft.com/t5/s/gxcuf89792/images/bS0zNzgyNTc1LTQ1NTcxOWk1QUE0MTNBRjc4RDIzMTYx?revision=1\"}":{"__typename":"AssociatedImage","url":"https://techcommunity.microsoft.com/t5/s/gxcuf89792/images/bS0zNzgyNTc1LTQ1NTcxOWk1QUE0MTNBRjc4RDIzMTYx?revision=1","title":"Patrick2788_1-1680115957731.png","associationType":"BODY","width":1138,"height":703,"altText":null},"Attachment:{\"id\":\"attachment:message3782575AttachmentNumber1\",\"url\":\"https://techcommunity.microsoft.com/t5/s/gxcuf89792/attachments/gxcuf89792/ExcelGeneral/186734/1/Solving%20an%200%201%20Knapsack%20Problem%20with%20LAMBDA.xlsx\"}":{"__typename":"Attachment","id":"attachment:message3782575AttachmentNumber1","filename":"Solving an 0 1 Knapsack Problem with LAMBDA.xlsx","filesize":182214,"contentType":"application/vnd.openxmlformats-officedocument.spreadsheetml.sheet","url":"https://techcommunity.microsoft.com/t5/s/gxcuf89792/attachments/gxcuf89792/ExcelGeneral/186734/1/Solving%20an%200%201%20Knapsack%20Problem%20with%20LAMBDA.xlsx"},"Revision:revision:3782575_1":{"__typename":"Revision","id":"revision:3782575_1","lastEditTime":"2023-03-29T12:04:53.456-07:00"},"ForumReplyMessage:message:3784671":{"__typename":"ForumReplyMessage","id":"message:3784671","conversation":{"__ref":"Conversation:conversation:3782575"},"author":{"__ref":"User:user:428790"},"revisionNum":1,"uid":3784671,"depth":3,"hasGivenKudo":false,"subscribed":false,"board":{"__ref":"Forum:board:ExcelGeneral"},"subject":"Re: Solving an 0 1 Knapsack Problem with LAMBDA","readOnly":false,"editFrozen":false,"moderationData":{"__ref":"ModerationData:moderation_data:3784671"},"parent":{"__ref":"ForumReplyMessage:message:3784518"},"body":"

davidleal 

I've seen some workarounds using concatenation to get around that 10 digit limit.

 

 

Here's my second take on Knapsack.

 

CombinMatrix\n=LET(\n    n, COUNT(item),\n    combinations, SUM(COMBIN(n, SEQUENCE(n))),\n    MAKEARRAY(combinations, n, LAMBDA(r, c, 1 * MID(DEC2BIN(r, 5), c, 1)))\n)\n\nSheet level formula:\n=LET(\n    filtered, FILTER(CombinMatrix, MMULT(CombinMatrix, TOCOL(weight)) <= cap),\n    b, MMULT(filtered, TOCOL(benefit)),\n    stack, HSTACK(filtered, b),\n    TAKE(DROP(SORT(stack, COUNT(item) + 1, -1), , -1), 1)\n)

 

I've added an Include line:

 

","body@stringLength":"1388","rawBody":"

 

I've seen some workarounds using concatenation to get around that 10 digit limit.

 

 

Here's my second take on Knapsack.

 

CombinMatrix\n=LET(\n n, COUNT(item),\n combinations, SUM(COMBIN(n, SEQUENCE(n))),\n MAKEARRAY(combinations, n, LAMBDA(r, c, 1 * MID(DEC2BIN(r, 5), c, 1)))\n)\n\nSheet level formula:\n=LET(\n filtered, FILTER(CombinMatrix, MMULT(CombinMatrix, TOCOL(weight)) <= cap),\n b, MMULT(filtered, TOCOL(benefit)),\n stack, HSTACK(filtered, b),\n TAKE(DROP(SORT(stack, COUNT(item) + 1, -1), , -1), 1)\n)

 

I've added an Include line:

 

","kudosSumWeight":0,"repliesCount":0,"postTime":"2023-03-31T09:59:18.147-07:00","images":{"__typename":"AssociatedImageConnection","edges":[{"__typename":"AssociatedImageEdge","cursor":"MjUuMXwyLjF8b3wyNXxfTlZffDE","node":{"__ref":"AssociatedImage:{\"url\":\"https://techcommunity.microsoft.com/t5/s/gxcuf89792/images/bS0zNzg0NjcxLTQ1NjQxOGkyOTg3NTNFMTE2NUE4Qzc2?revision=1\"}"}}],"totalCount":1,"pageInfo":{"__typename":"PageInfo","hasNextPage":false,"endCursor":null,"hasPreviousPage":false,"startCursor":null}},"attachments":{"__typename":"AttachmentConnection","pageInfo":{"__typename":"PageInfo","hasNextPage":false,"endCursor":null,"hasPreviousPage":false,"startCursor":null},"edges":[{"__typename":"AttachmentEdge","cursor":"MjUuMXwyLjF8b3w1fF9OVl98MQ","node":{"__ref":"Attachment:{\"id\":\"attachment:message3784671AttachmentNumber1\",\"url\":\"https://techcommunity.microsoft.com/t5/s/gxcuf89792/attachments/gxcuf89792/ExcelGeneral/187000/1/Solving%20an%200%201%20Knapsack%20Problem%20with%20LAMBDA%202.xlsx\"}"}}]},"timeToRead":1,"currentRevision":{"__ref":"Revision:revision:3784671_1"},"latestVersion":null,"metrics":{"__typename":"MessageMetrics","views":6921},"visibilityScope":"PUBLIC","isEscalated":null,"placeholder":false,"originalMessageForPlaceholder":null,"messagePolicies":{"__typename":"MessagePolicies","canModerateSpamMessage":{"__typename":"PolicyResult","failureReason":{"__typename":"FailureReason","message":"error.lithium.policies.feature.moderation_spam.action.moderate_entity.allowed.accessDenied","key":"error.lithium.policies.feature.moderation_spam.action.moderate_entity.allowed.accessDenied","args":[]}}},"customFields":[],"replies":{"__typename":"MessageConnection","edges":[],"pageInfo":{"__typename":"PageInfo","hasNextPage":false,"endCursor":null,"hasPreviousPage":false,"startCursor":null}}},"CachedAsset:theme:customTheme1-1745484441894":{"__typename":"CachedAsset","id":"theme:customTheme1-1745484441894","value":{"id":"customTheme1","animation":{"fast":"150ms","normal":"250ms","slow":"500ms","slowest":"750ms","function":"cubic-bezier(0.07, 0.91, 0.51, 1)","__typename":"AnimationThemeSettings"},"avatar":{"borderRadius":"50%","collections":["default"],"__typename":"AvatarThemeSettings"},"basics":{"browserIcon":{"imageAssetName":"favicon-1730836283320.png","imageLastModified":"1730836286415","__typename":"ThemeAsset"},"customerLogo":{"imageAssetName":"favicon-1730836271365.png","imageLastModified":"1730836274203","__typename":"ThemeAsset"},"maximumWidthOfPageContent":"1300px","oneColumnNarrowWidth":"800px","gridGutterWidthMd":"30px","gridGutterWidthXs":"10px","pageWidthStyle":"WIDTH_OF_BROWSER","__typename":"BasicsThemeSettings"},"buttons":{"borderRadiusSm":"3px","borderRadius":"3px","borderRadiusLg":"5px","paddingY":"5px","paddingYLg":"7px","paddingYHero":"var(--lia-bs-btn-padding-y-lg)","paddingX":"12px","paddingXLg":"16px","paddingXHero":"60px","fontStyle":"NORMAL","fontWeight":"700","textTransform":"NONE","disabledOpacity":0.5,"primaryTextColor":"var(--lia-bs-white)","primaryTextHoverColor":"var(--lia-bs-white)","primaryTextActiveColor":"var(--lia-bs-white)","primaryBgColor":"var(--lia-bs-primary)","primaryBgHoverColor":"hsl(var(--lia-bs-primary-h), var(--lia-bs-primary-s), calc(var(--lia-bs-primary-l) * 0.85))","primaryBgActiveColor":"hsl(var(--lia-bs-primary-h), var(--lia-bs-primary-s), calc(var(--lia-bs-primary-l) * 0.7))","primaryBorder":"1px solid transparent","primaryBorderHover":"1px solid transparent","primaryBorderActive":"1px solid transparent","primaryBorderFocus":"1px solid var(--lia-bs-white)","primaryBoxShadowFocus":"0 0 0 1px var(--lia-bs-primary), 0 0 0 4px hsla(var(--lia-bs-primary-h), var(--lia-bs-primary-s), var(--lia-bs-primary-l), 0.2)","secondaryTextColor":"var(--lia-bs-gray-900)","secondaryTextHoverColor":"hsl(var(--lia-bs-gray-900-h), var(--lia-bs-gray-900-s), calc(var(--lia-bs-gray-900-l) * 0.95))","secondaryTextActiveColor":"hsl(var(--lia-bs-gray-900-h), var(--lia-bs-gray-900-s), calc(var(--lia-bs-gray-900-l) * 0.9))","secondaryBgColor":"var(--lia-bs-gray-200)","secondaryBgHoverColor":"hsl(var(--lia-bs-gray-200-h), var(--lia-bs-gray-200-s), calc(var(--lia-bs-gray-200-l) * 0.96))","secondaryBgActiveColor":"hsl(var(--lia-bs-gray-200-h), var(--lia-bs-gray-200-s), calc(var(--lia-bs-gray-200-l) * 0.92))","secondaryBorder":"1px solid transparent","secondaryBorderHover":"1px solid transparent","secondaryBorderActive":"1px solid transparent","secondaryBorderFocus":"1px solid transparent","secondaryBoxShadowFocus":"0 0 0 1px var(--lia-bs-primary), 0 0 0 4px hsla(var(--lia-bs-primary-h), var(--lia-bs-primary-s), var(--lia-bs-primary-l), 0.2)","tertiaryTextColor":"var(--lia-bs-gray-900)","tertiaryTextHoverColor":"hsl(var(--lia-bs-gray-900-h), var(--lia-bs-gray-900-s), calc(var(--lia-bs-gray-900-l) * 0.95))","tertiaryTextActiveColor":"hsl(var(--lia-bs-gray-900-h), var(--lia-bs-gray-900-s), calc(var(--lia-bs-gray-900-l) * 0.9))","tertiaryBgColor":"transparent","tertiaryBgHoverColor":"transparent","tertiaryBgActiveColor":"hsla(var(--lia-bs-black-h), var(--lia-bs-black-s), var(--lia-bs-black-l), 0.04)","tertiaryBorder":"1px solid transparent","tertiaryBorderHover":"1px solid hsla(var(--lia-bs-black-h), var(--lia-bs-black-s), var(--lia-bs-black-l), 0.08)","tertiaryBorderActive":"1px solid transparent","tertiaryBorderFocus":"1px solid transparent","tertiaryBoxShadowFocus":"0 0 0 1px var(--lia-bs-primary), 0 0 0 4px hsla(var(--lia-bs-primary-h), var(--lia-bs-primary-s), var(--lia-bs-primary-l), 0.2)","destructiveTextColor":"var(--lia-bs-danger)","destructiveTextHoverColor":"hsl(var(--lia-bs-danger-h), var(--lia-bs-danger-s), calc(var(--lia-bs-danger-l) * 0.95))","destructiveTextActiveColor":"hsl(var(--lia-bs-danger-h), var(--lia-bs-danger-s), calc(var(--lia-bs-danger-l) * 0.9))","destructiveBgColor":"var(--lia-bs-gray-200)","destructiveBgHoverColor":"hsl(var(--lia-bs-gray-200-h), var(--lia-bs-gray-200-s), calc(var(--lia-bs-gray-200-l) * 0.96))","destructiveBgActiveColor":"hsl(var(--lia-bs-gray-200-h), var(--lia-bs-gray-200-s), calc(var(--lia-bs-gray-200-l) * 0.92))","destructiveBorder":"1px solid transparent","destructiveBorderHover":"1px solid transparent","destructiveBorderActive":"1px solid transparent","destructiveBorderFocus":"1px solid transparent","destructiveBoxShadowFocus":"0 0 0 1px var(--lia-bs-primary), 0 0 0 4px hsla(var(--lia-bs-primary-h), var(--lia-bs-primary-s), var(--lia-bs-primary-l), 0.2)","__typename":"ButtonsThemeSettings"},"border":{"color":"hsla(var(--lia-bs-black-h), var(--lia-bs-black-s), var(--lia-bs-black-l), 0.08)","mainContent":"NONE","sideContent":"LIGHT","radiusSm":"3px","radius":"5px","radiusLg":"9px","radius50":"100vw","__typename":"BorderThemeSettings"},"boxShadow":{"xs":"0 0 0 1px hsla(var(--lia-bs-gray-900-h), var(--lia-bs-gray-900-s), var(--lia-bs-gray-900-l), 0.08), 0 3px 0 -1px hsla(var(--lia-bs-gray-900-h), var(--lia-bs-gray-900-s), var(--lia-bs-gray-900-l), 0.16)","sm":"0 2px 4px hsla(var(--lia-bs-gray-900-h), var(--lia-bs-gray-900-s), var(--lia-bs-gray-900-l), 0.12)","md":"0 5px 15px hsla(var(--lia-bs-gray-900-h), var(--lia-bs-gray-900-s), var(--lia-bs-gray-900-l), 0.3)","lg":"0 10px 30px hsla(var(--lia-bs-gray-900-h), var(--lia-bs-gray-900-s), var(--lia-bs-gray-900-l), 0.3)","__typename":"BoxShadowThemeSettings"},"cards":{"bgColor":"var(--lia-panel-bg-color)","borderRadius":"var(--lia-panel-border-radius)","boxShadow":"var(--lia-box-shadow-xs)","__typename":"CardsThemeSettings"},"chip":{"maxWidth":"300px","height":"30px","__typename":"ChipThemeSettings"},"coreTypes":{"defaultMessageLinkColor":"var(--lia-bs-link-color)","defaultMessageLinkDecoration":"none","defaultMessageLinkFontStyle":"NORMAL","defaultMessageLinkFontWeight":"400","defaultMessageFontStyle":"NORMAL","defaultMessageFontWeight":"400","forumColor":"#4099E2","forumFontFamily":"var(--lia-bs-font-family-base)","forumFontWeight":"var(--lia-default-message-font-weight)","forumLineHeight":"var(--lia-bs-line-height-base)","forumFontStyle":"var(--lia-default-message-font-style)","forumMessageLinkColor":"var(--lia-default-message-link-color)","forumMessageLinkDecoration":"var(--lia-default-message-link-decoration)","forumMessageLinkFontStyle":"var(--lia-default-message-link-font-style)","forumMessageLinkFontWeight":"var(--lia-default-message-link-font-weight)","forumSolvedColor":"#148563","blogColor":"#1CBAA0","blogFontFamily":"var(--lia-bs-font-family-base)","blogFontWeight":"var(--lia-default-message-font-weight)","blogLineHeight":"1.75","blogFontStyle":"var(--lia-default-message-font-style)","blogMessageLinkColor":"var(--lia-default-message-link-color)","blogMessageLinkDecoration":"var(--lia-default-message-link-decoration)","blogMessageLinkFontStyle":"var(--lia-default-message-link-font-style)","blogMessageLinkFontWeight":"var(--lia-default-message-link-font-weight)","tkbColor":"#4C6B90","tkbFontFamily":"var(--lia-bs-font-family-base)","tkbFontWeight":"var(--lia-default-message-font-weight)","tkbLineHeight":"1.75","tkbFontStyle":"var(--lia-default-message-font-style)","tkbMessageLinkColor":"var(--lia-default-message-link-color)","tkbMessageLinkDecoration":"var(--lia-default-message-link-decoration)","tkbMessageLinkFontStyle":"var(--lia-default-message-link-font-style)","tkbMessageLinkFontWeight":"var(--lia-default-message-link-font-weight)","qandaColor":"#4099E2","qandaFontFamily":"var(--lia-bs-font-family-base)","qandaFontWeight":"var(--lia-default-message-font-weight)","qandaLineHeight":"var(--lia-bs-line-height-base)","qandaFontStyle":"var(--lia-default-message-link-font-style)","qandaMessageLinkColor":"var(--lia-default-message-link-color)","qandaMessageLinkDecoration":"var(--lia-default-message-link-decoration)","qandaMessageLinkFontStyle":"var(--lia-default-message-link-font-style)","qandaMessageLinkFontWeight":"var(--lia-default-message-link-font-weight)","qandaSolvedColor":"#3FA023","ideaColor":"#FF8000","ideaFontFamily":"var(--lia-bs-font-family-base)","ideaFontWeight":"var(--lia-default-message-font-weight)","ideaLineHeight":"var(--lia-bs-line-height-base)","ideaFontStyle":"var(--lia-default-message-font-style)","ideaMessageLinkColor":"var(--lia-default-message-link-color)","ideaMessageLinkDecoration":"var(--lia-default-message-link-decoration)","ideaMessageLinkFontStyle":"var(--lia-default-message-link-font-style)","ideaMessageLinkFontWeight":"var(--lia-default-message-link-font-weight)","contestColor":"#FCC845","contestFontFamily":"var(--lia-bs-font-family-base)","contestFontWeight":"var(--lia-default-message-font-weight)","contestLineHeight":"var(--lia-bs-line-height-base)","contestFontStyle":"var(--lia-default-message-link-font-style)","contestMessageLinkColor":"var(--lia-default-message-link-color)","contestMessageLinkDecoration":"var(--lia-default-message-link-decoration)","contestMessageLinkFontStyle":"ITALIC","contestMessageLinkFontWeight":"var(--lia-default-message-link-font-weight)","occasionColor":"#D13A1F","occasionFontFamily":"var(--lia-bs-font-family-base)","occasionFontWeight":"var(--lia-default-message-font-weight)","occasionLineHeight":"var(--lia-bs-line-height-base)","occasionFontStyle":"var(--lia-default-message-font-style)","occasionMessageLinkColor":"var(--lia-default-message-link-color)","occasionMessageLinkDecoration":"var(--lia-default-message-link-decoration)","occasionMessageLinkFontStyle":"var(--lia-default-message-link-font-style)","occasionMessageLinkFontWeight":"var(--lia-default-message-link-font-weight)","grouphubColor":"#333333","categoryColor":"#949494","communityColor":"#FFFFFF","productColor":"#949494","__typename":"CoreTypesThemeSettings"},"colors":{"black":"#000000","white":"#FFFFFF","gray100":"#F7F7F7","gray200":"#F7F7F7","gray300":"#E8E8E8","gray400":"#D9D9D9","gray500":"#CCCCCC","gray600":"#717171","gray700":"#707070","gray800":"#545454","gray900":"#333333","dark":"#545454","light":"#F7F7F7","primary":"#0069D4","secondary":"#333333","bodyText":"#1E1E1E","bodyBg":"#FFFFFF","info":"#409AE2","success":"#41C5AE","warning":"#FCC844","danger":"#BC341B","alertSystem":"#FF6600","textMuted":"#707070","highlight":"#FFFCAD","outline":"var(--lia-bs-primary)","custom":["#D3F5A4","#243A5E"],"__typename":"ColorsThemeSettings"},"divider":{"size":"3px","marginLeft":"4px","marginRight":"4px","borderRadius":"50%","bgColor":"var(--lia-bs-gray-600)","bgColorActive":"var(--lia-bs-gray-600)","__typename":"DividerThemeSettings"},"dropdown":{"fontSize":"var(--lia-bs-font-size-sm)","borderColor":"var(--lia-bs-border-color)","borderRadius":"var(--lia-bs-border-radius-sm)","dividerBg":"var(--lia-bs-gray-300)","itemPaddingY":"5px","itemPaddingX":"20px","headerColor":"var(--lia-bs-gray-700)","__typename":"DropdownThemeSettings"},"email":{"link":{"color":"#0069D4","hoverColor":"#0061c2","decoration":"none","hoverDecoration":"underline","__typename":"EmailLinkSettings"},"border":{"color":"#e4e4e4","__typename":"EmailBorderSettings"},"buttons":{"borderRadiusLg":"5px","paddingXLg":"16px","paddingYLg":"7px","fontWeight":"700","primaryTextColor":"#ffffff","primaryTextHoverColor":"#ffffff","primaryBgColor":"#0069D4","primaryBgHoverColor":"#005cb8","primaryBorder":"1px solid transparent","primaryBorderHover":"1px solid transparent","__typename":"EmailButtonsSettings"},"panel":{"borderRadius":"5px","borderColor":"#e4e4e4","__typename":"EmailPanelSettings"},"__typename":"EmailThemeSettings"},"emoji":{"skinToneDefault":"#ffcd43","skinToneLight":"#fae3c5","skinToneMediumLight":"#e2cfa5","skinToneMedium":"#daa478","skinToneMediumDark":"#a78058","skinToneDark":"#5e4d43","__typename":"EmojiThemeSettings"},"heading":{"color":"var(--lia-bs-body-color)","fontFamily":"Segoe UI","fontStyle":"NORMAL","fontWeight":"400","h1FontSize":"34px","h2FontSize":"32px","h3FontSize":"28px","h4FontSize":"24px","h5FontSize":"20px","h6FontSize":"16px","lineHeight":"1.3","subHeaderFontSize":"11px","subHeaderFontWeight":"500","h1LetterSpacing":"normal","h2LetterSpacing":"normal","h3LetterSpacing":"normal","h4LetterSpacing":"normal","h5LetterSpacing":"normal","h6LetterSpacing":"normal","subHeaderLetterSpacing":"2px","h1FontWeight":"var(--lia-bs-headings-font-weight)","h2FontWeight":"var(--lia-bs-headings-font-weight)","h3FontWeight":"var(--lia-bs-headings-font-weight)","h4FontWeight":"var(--lia-bs-headings-font-weight)","h5FontWeight":"var(--lia-bs-headings-font-weight)","h6FontWeight":"var(--lia-bs-headings-font-weight)","__typename":"HeadingThemeSettings"},"icons":{"size10":"10px","size12":"12px","size14":"14px","size16":"16px","size20":"20px","size24":"24px","size30":"30px","size40":"40px","size50":"50px","size60":"60px","size80":"80px","size120":"120px","size160":"160px","__typename":"IconsThemeSettings"},"imagePreview":{"bgColor":"var(--lia-bs-gray-900)","titleColor":"var(--lia-bs-white)","controlColor":"var(--lia-bs-white)","controlBgColor":"var(--lia-bs-gray-800)","__typename":"ImagePreviewThemeSettings"},"input":{"borderColor":"var(--lia-bs-gray-600)","disabledColor":"var(--lia-bs-gray-600)","focusBorderColor":"var(--lia-bs-primary)","labelMarginBottom":"10px","btnFontSize":"var(--lia-bs-font-size-sm)","focusBoxShadow":"0 0 0 3px hsla(var(--lia-bs-primary-h), var(--lia-bs-primary-s), var(--lia-bs-primary-l), 0.2)","checkLabelMarginBottom":"2px","checkboxBorderRadius":"3px","borderRadiusSm":"var(--lia-bs-border-radius-sm)","borderRadius":"var(--lia-bs-border-radius)","borderRadiusLg":"var(--lia-bs-border-radius-lg)","formTextMarginTop":"4px","textAreaBorderRadius":"var(--lia-bs-border-radius)","activeFillColor":"var(--lia-bs-primary)","__typename":"InputThemeSettings"},"loading":{"dotDarkColor":"hsla(var(--lia-bs-black-h), var(--lia-bs-black-s), var(--lia-bs-black-l), 0.2)","dotLightColor":"hsla(var(--lia-bs-white-h), var(--lia-bs-white-s), var(--lia-bs-white-l), 0.5)","barDarkColor":"hsla(var(--lia-bs-black-h), var(--lia-bs-black-s), var(--lia-bs-black-l), 0.06)","barLightColor":"hsla(var(--lia-bs-white-h), var(--lia-bs-white-s), var(--lia-bs-white-l), 0.4)","__typename":"LoadingThemeSettings"},"link":{"color":"var(--lia-bs-primary)","hoverColor":"hsl(var(--lia-bs-primary-h), var(--lia-bs-primary-s), calc(var(--lia-bs-primary-l) - 10%))","decoration":"none","hoverDecoration":"underline","__typename":"LinkThemeSettings"},"listGroup":{"itemPaddingY":"15px","itemPaddingX":"15px","borderColor":"var(--lia-bs-gray-300)","__typename":"ListGroupThemeSettings"},"modal":{"contentTextColor":"var(--lia-bs-body-color)","contentBg":"var(--lia-bs-white)","backgroundBg":"var(--lia-bs-black)","smSize":"440px","mdSize":"760px","lgSize":"1080px","backdropOpacity":0.3,"contentBoxShadowXs":"var(--lia-bs-box-shadow-sm)","contentBoxShadow":"var(--lia-bs-box-shadow)","headerFontWeight":"700","__typename":"ModalThemeSettings"},"navbar":{"position":"FIXED","background":{"attachment":null,"clip":null,"color":"var(--lia-bs-white)","imageAssetName":"","imageLastModified":"0","origin":null,"position":"CENTER_CENTER","repeat":"NO_REPEAT","size":"COVER","__typename":"BackgroundProps"},"backgroundOpacity":0.8,"paddingTop":"15px","paddingBottom":"15px","borderBottom":"1px solid var(--lia-bs-border-color)","boxShadow":"var(--lia-bs-box-shadow-sm)","brandMarginRight":"30px","brandMarginRightSm":"10px","brandLogoHeight":"30px","linkGap":"10px","linkJustifyContent":"flex-start","linkPaddingY":"5px","linkPaddingX":"10px","linkDropdownPaddingY":"9px","linkDropdownPaddingX":"var(--lia-nav-link-px)","linkColor":"var(--lia-bs-body-color)","linkHoverColor":"var(--lia-bs-primary)","linkFontSize":"var(--lia-bs-font-size-sm)","linkFontStyle":"NORMAL","linkFontWeight":"400","linkTextTransform":"NONE","linkLetterSpacing":"normal","linkBorderRadius":"var(--lia-bs-border-radius-sm)","linkBgColor":"transparent","linkBgHoverColor":"transparent","linkBorder":"none","linkBorderHover":"none","linkBoxShadow":"none","linkBoxShadowHover":"none","linkTextBorderBottom":"none","linkTextBorderBottomHover":"none","dropdownPaddingTop":"10px","dropdownPaddingBottom":"15px","dropdownPaddingX":"10px","dropdownMenuOffset":"2px","dropdownDividerMarginTop":"10px","dropdownDividerMarginBottom":"10px","dropdownBorderColor":"hsla(var(--lia-bs-black-h), var(--lia-bs-black-s), var(--lia-bs-black-l), 0.08)","controllerBgHoverColor":"hsla(var(--lia-bs-black-h), var(--lia-bs-black-s), var(--lia-bs-black-l), 0.1)","controllerIconColor":"var(--lia-bs-body-color)","controllerIconHoverColor":"var(--lia-bs-body-color)","controllerTextColor":"var(--lia-nav-controller-icon-color)","controllerTextHoverColor":"var(--lia-nav-controller-icon-hover-color)","controllerHighlightColor":"hsla(30, 100%, 50%)","controllerHighlightTextColor":"var(--lia-yiq-light)","controllerBorderRadius":"var(--lia-border-radius-50)","hamburgerColor":"var(--lia-nav-controller-icon-color)","hamburgerHoverColor":"var(--lia-nav-controller-icon-color)","hamburgerBgColor":"transparent","hamburgerBgHoverColor":"transparent","hamburgerBorder":"none","hamburgerBorderHover":"none","collapseMenuMarginLeft":"20px","collapseMenuDividerBg":"var(--lia-nav-link-color)","collapseMenuDividerOpacity":0.16,"__typename":"NavbarThemeSettings"},"pager":{"textColor":"var(--lia-bs-link-color)","textFontWeight":"var(--lia-font-weight-md)","textFontSize":"var(--lia-bs-font-size-sm)","__typename":"PagerThemeSettings"},"panel":{"bgColor":"var(--lia-bs-white)","borderRadius":"var(--lia-bs-border-radius)","borderColor":"var(--lia-bs-border-color)","boxShadow":"none","__typename":"PanelThemeSettings"},"popover":{"arrowHeight":"8px","arrowWidth":"16px","maxWidth":"300px","minWidth":"100px","headerBg":"var(--lia-bs-white)","borderColor":"var(--lia-bs-border-color)","borderRadius":"var(--lia-bs-border-radius)","boxShadow":"0 0.5rem 1rem hsla(var(--lia-bs-black-h), var(--lia-bs-black-s), var(--lia-bs-black-l), 0.15)","__typename":"PopoverThemeSettings"},"prism":{"color":"#000000","bgColor":"#f5f2f0","fontFamily":"var(--font-family-monospace)","fontSize":"var(--lia-bs-font-size-base)","fontWeightBold":"var(--lia-bs-font-weight-bold)","fontStyleItalic":"italic","tabSize":2,"highlightColor":"#b3d4fc","commentColor":"#62707e","punctuationColor":"#6f6f6f","namespaceOpacity":"0.7","propColor":"#990055","selectorColor":"#517a00","operatorColor":"#906736","operatorBgColor":"hsla(0, 0%, 100%, 0.5)","keywordColor":"#0076a9","functionColor":"#d3284b","variableColor":"#c14700","__typename":"PrismThemeSettings"},"rte":{"bgColor":"var(--lia-bs-white)","borderRadius":"var(--lia-panel-border-radius)","boxShadow":" var(--lia-panel-box-shadow)","customColor1":"#bfedd2","customColor2":"#fbeeb8","customColor3":"#f8cac6","customColor4":"#eccafa","customColor5":"#c2e0f4","customColor6":"#2dc26b","customColor7":"#f1c40f","customColor8":"#e03e2d","customColor9":"#b96ad9","customColor10":"#3598db","customColor11":"#169179","customColor12":"#e67e23","customColor13":"#ba372a","customColor14":"#843fa1","customColor15":"#236fa1","customColor16":"#ecf0f1","customColor17":"#ced4d9","customColor18":"#95a5a6","customColor19":"#7e8c8d","customColor20":"#34495e","customColor21":"#000000","customColor22":"#ffffff","defaultMessageHeaderMarginTop":"40px","defaultMessageHeaderMarginBottom":"20px","defaultMessageItemMarginTop":"0","defaultMessageItemMarginBottom":"10px","diffAddedColor":"hsla(170, 53%, 51%, 0.4)","diffChangedColor":"hsla(43, 97%, 63%, 0.4)","diffNoneColor":"hsla(0, 0%, 80%, 0.4)","diffRemovedColor":"hsla(9, 74%, 47%, 0.4)","specialMessageHeaderMarginTop":"40px","specialMessageHeaderMarginBottom":"20px","specialMessageItemMarginTop":"0","specialMessageItemMarginBottom":"10px","__typename":"RteThemeSettings"},"tags":{"bgColor":"var(--lia-bs-gray-200)","bgHoverColor":"var(--lia-bs-gray-400)","borderRadius":"var(--lia-bs-border-radius-sm)","color":"var(--lia-bs-body-color)","hoverColor":"var(--lia-bs-body-color)","fontWeight":"var(--lia-font-weight-md)","fontSize":"var(--lia-font-size-xxs)","textTransform":"UPPERCASE","letterSpacing":"0.5px","__typename":"TagsThemeSettings"},"toasts":{"borderRadius":"var(--lia-bs-border-radius)","paddingX":"12px","__typename":"ToastsThemeSettings"},"typography":{"fontFamilyBase":"Segoe UI","fontStyleBase":"NORMAL","fontWeightBase":"400","fontWeightLight":"300","fontWeightNormal":"400","fontWeightMd":"500","fontWeightBold":"700","letterSpacingSm":"normal","letterSpacingXs":"normal","lineHeightBase":"1.5","fontSizeBase":"16px","fontSizeXxs":"11px","fontSizeXs":"12px","fontSizeSm":"14px","fontSizeLg":"20px","fontSizeXl":"24px","smallFontSize":"14px","customFonts":[{"source":"SERVER","name":"Segoe UI","styles":[{"style":"NORMAL","weight":"400","__typename":"FontStyleData"},{"style":"NORMAL","weight":"300","__typename":"FontStyleData"},{"style":"NORMAL","weight":"600","__typename":"FontStyleData"},{"style":"NORMAL","weight":"700","__typename":"FontStyleData"},{"style":"ITALIC","weight":"400","__typename":"FontStyleData"}],"assetNames":["SegoeUI-normal-400.woff2","SegoeUI-normal-300.woff2","SegoeUI-normal-600.woff2","SegoeUI-normal-700.woff2","SegoeUI-italic-400.woff2"],"__typename":"CustomFont"},{"source":"SERVER","name":"MWF Fluent Icons","styles":[{"style":"NORMAL","weight":"400","__typename":"FontStyleData"}],"assetNames":["MWFFluentIcons-normal-400.woff2"],"__typename":"CustomFont"}],"__typename":"TypographyThemeSettings"},"unstyledListItem":{"marginBottomSm":"5px","marginBottomMd":"10px","marginBottomLg":"15px","marginBottomXl":"20px","marginBottomXxl":"25px","__typename":"UnstyledListItemThemeSettings"},"yiq":{"light":"#ffffff","dark":"#000000","__typename":"YiqThemeSettings"},"colorLightness":{"primaryDark":0.36,"primaryLight":0.74,"primaryLighter":0.89,"primaryLightest":0.95,"infoDark":0.39,"infoLight":0.72,"infoLighter":0.85,"infoLightest":0.93,"successDark":0.24,"successLight":0.62,"successLighter":0.8,"successLightest":0.91,"warningDark":0.39,"warningLight":0.68,"warningLighter":0.84,"warningLightest":0.93,"dangerDark":0.41,"dangerLight":0.72,"dangerLighter":0.89,"dangerLightest":0.95,"__typename":"ColorLightnessThemeSettings"},"localOverride":false,"__typename":"Theme"},"localOverride":false},"CachedAsset:text:en_US-components/common/EmailVerification-1745505309826":{"__typename":"CachedAsset","id":"text:en_US-components/common/EmailVerification-1745505309826","value":{"email.verification.title":"Email Verification Required","email.verification.message.update.email":"To participate in the community, you must first verify your email address. The verification email was sent to {email}. To change your email, visit My Settings.","email.verification.message.resend.email":"To participate in the community, you must first verify your email address. The verification email was sent to {email}. Resend email."},"localOverride":false},"CachedAsset:text:en_US-shared/client/components/common/Loading/LoadingDot-1745505309826":{"__typename":"CachedAsset","id":"text:en_US-shared/client/components/common/Loading/LoadingDot-1745505309826","value":{"title":"Loading..."},"localOverride":false},"CachedAsset:quilt:o365.prod:pages/forums/ForumMessagePage:board:ExcelGeneral-1745502713091":{"__typename":"CachedAsset","id":"quilt:o365.prod:pages/forums/ForumMessagePage:board:ExcelGeneral-1745502713091","value":{"id":"ForumMessagePage","container":{"id":"Common","headerProps":{"backgroundImageProps":null,"backgroundColor":null,"addComponents":null,"removeComponents":["community.widget.bannerWidget"],"componentOrder":null,"__typename":"QuiltContainerSectionProps"},"headerComponentProps":{"community.widget.breadcrumbWidget":{"disableLastCrumbForDesktop":false}},"footerProps":null,"footerComponentProps":null,"items":[{"id":"section-1733174818610","layout":"ONE_COLUMN","bgColor":null,"showTitle":null,"showDescription":null,"textPosition":null,"textColor":null,"sectionEditLevel":null,"bgImage":null,"disableSpacing":null,"edgeToEdgeDisplay":null,"fullHeight":null,"showBorder":null,"__typename":"OneColumnQuiltSection","columnMap":{"main":[],"__typename":"OneSectionColumns"}},{"id":"message-list","layout":"MAIN_SIDE","bgColor":null,"showTitle":null,"showDescription":null,"textPosition":null,"textColor":null,"sectionEditLevel":null,"bgImage":null,"disableSpacing":null,"edgeToEdgeDisplay":null,"fullHeight":null,"showBorder":null,"__typename":"MainSideQuiltSection","columnMap":{"main":[{"id":"messages.widget.topicWithThreadedReplyListWidget","className":"lia-topic-with-replies","props":{"editLevel":"CONFIGURE"},"__typename":"QuiltComponent"}],"side":[{"id":"custom.widget.Featured_Resources","className":null,"props":{"widgetVisibility":"signedInOrAnonymous","useTitle":true,"useBackground":true,"title":"Resources","lazyLoad":false},"__typename":"QuiltComponent"}],"__typename":"MainSideSectionColumns"}}],"__typename":"QuiltContainer"},"__typename":"Quilt","localOverride":false},"localOverride":false},"CachedAsset:text:en_US-pages/forums/ForumMessagePage-1745505309826":{"__typename":"CachedAsset","id":"text:en_US-pages/forums/ForumMessagePage-1745505309826","value":{"title":"{contextMessageSubject} | {communityTitle}","errorMissing":"This message cannot be found","name":"Forum Message Page","section.message-list.title":"Forum Discussion","archivedMessageTitle":"This Content Has Been Archived","section.TqVYTs.title":"Forum Discussion"},"localOverride":false},"CachedAsset:quiltWrapper:o365.prod:Common:1745505310225":{"__typename":"CachedAsset","id":"quiltWrapper:o365.prod:Common:1745505310225","value":{"id":"Common","header":{"backgroundImageProps":{"assetName":null,"backgroundSize":"COVER","backgroundRepeat":"NO_REPEAT","backgroundPosition":"CENTER_CENTER","lastModified":null,"__typename":"BackgroundImageProps"},"backgroundColor":"transparent","items":[{"id":"community.widget.navbarWidget","props":{"showUserName":true,"showRegisterLink":true,"useIconLanguagePicker":true,"useLabelLanguagePicker":true,"className":"QuiltComponent_lia-component-edit-mode__0nCcm","links":{"sideLinks":[],"mainLinks":[{"children":[],"linkType":"INTERNAL","id":"gxcuf89792","params":{},"routeName":"CommunityPage"},{"children":[],"linkType":"EXTERNAL","id":"external-link","url":"/Directory","target":"SELF"},{"children":[{"linkType":"INTERNAL","id":"microsoft365","params":{"categoryId":"microsoft365"},"routeName":"CategoryPage"},{"linkType":"INTERNAL","id":"windows","params":{"categoryId":"Windows"},"routeName":"CategoryPage"},{"linkType":"INTERNAL","id":"Common-microsoft365-copilot-link","params":{"categoryId":"Microsoft365Copilot"},"routeName":"CategoryPage"},{"linkType":"INTERNAL","id":"microsoft-teams","params":{"categoryId":"MicrosoftTeams"},"routeName":"CategoryPage"},{"linkType":"INTERNAL","id":"microsoft-securityand-compliance","params":{"categoryId":"microsoft-security"},"routeName":"CategoryPage"},{"linkType":"INTERNAL","id":"azure","params":{"categoryId":"Azure"},"routeName":"CategoryPage"},{"linkType":"INTERNAL","id":"Common-content_management-link","params":{"categoryId":"Content_Management"},"routeName":"CategoryPage"},{"linkType":"INTERNAL","id":"exchange","params":{"categoryId":"Exchange"},"routeName":"CategoryPage"},{"linkType":"INTERNAL","id":"windows-server","params":{"categoryId":"Windows-Server"},"routeName":"CategoryPage"},{"linkType":"INTERNAL","id":"outlook","params":{"categoryId":"Outlook"},"routeName":"CategoryPage"},{"linkType":"INTERNAL","id":"microsoft-endpoint-manager","params":{"categoryId":"microsoftintune"},"routeName":"CategoryPage"},{"linkType":"EXTERNAL","id":"external-link-2","url":"/Directory","target":"SELF"}],"linkType":"EXTERNAL","id":"communities","url":"/","target":"BLANK"},{"children":[{"linkType":"INTERNAL","id":"a-i","params":{"categoryId":"AI"},"routeName":"CategoryPage"},{"linkType":"INTERNAL","id":"education-sector","params":{"categoryId":"EducationSector"},"routeName":"CategoryPage"},{"linkType":"INTERNAL","id":"partner-community","params":{"categoryId":"PartnerCommunity"},"routeName":"CategoryPage"},{"linkType":"INTERNAL","id":"i-t-ops-talk","params":{"categoryId":"ITOpsTalk"},"routeName":"CategoryPage"},{"linkType":"INTERNAL","id":"healthcare-and-life-sciences","params":{"categoryId":"HealthcareAndLifeSciences"},"routeName":"CategoryPage"},{"linkType":"INTERNAL","id":"microsoft-mechanics","params":{"categoryId":"MicrosoftMechanics"},"routeName":"CategoryPage"},{"linkType":"INTERNAL","id":"public-sector","params":{"categoryId":"PublicSector"},"routeName":"CategoryPage"},{"linkType":"INTERNAL","id":"s-m-b","params":{"categoryId":"MicrosoftforNonprofits"},"routeName":"CategoryPage"},{"linkType":"INTERNAL","id":"io-t","params":{"categoryId":"IoT"},"routeName":"CategoryPage"},{"linkType":"INTERNAL","id":"startupsat-microsoft","params":{"categoryId":"StartupsatMicrosoft"},"routeName":"CategoryPage"},{"linkType":"INTERNAL","id":"driving-adoption","params":{"categoryId":"DrivingAdoption"},"routeName":"CategoryPage"},{"linkType":"EXTERNAL","id":"external-link-1","url":"/Directory","target":"SELF"}],"linkType":"EXTERNAL","id":"communities-1","url":"/","target":"SELF"},{"children":[],"linkType":"EXTERNAL","id":"external","url":"/Blogs","target":"SELF"},{"children":[],"linkType":"EXTERNAL","id":"external-1","url":"/Events","target":"SELF"},{"children":[{"linkType":"INTERNAL","id":"microsoft-learn-1","params":{"categoryId":"MicrosoftLearn"},"routeName":"CategoryPage"},{"linkType":"INTERNAL","id":"microsoft-learn-blog","params":{"boardId":"MicrosoftLearnBlog","categoryId":"MicrosoftLearn"},"routeName":"BlogBoardPage"},{"linkType":"EXTERNAL","id":"external-10","url":"https://learningroomdirectory.microsoft.com/","target":"BLANK"},{"linkType":"EXTERNAL","id":"external-3","url":"https://docs.microsoft.com/learn/dynamics365/?WT.mc_id=techcom_header-webpage-m365","target":"BLANK"},{"linkType":"EXTERNAL","id":"external-4","url":"https://docs.microsoft.com/learn/m365/?wt.mc_id=techcom_header-webpage-m365","target":"BLANK"},{"linkType":"EXTERNAL","id":"external-5","url":"https://docs.microsoft.com/learn/topics/sci/?wt.mc_id=techcom_header-webpage-m365","target":"BLANK"},{"linkType":"EXTERNAL","id":"external-6","url":"https://docs.microsoft.com/learn/powerplatform/?wt.mc_id=techcom_header-webpage-powerplatform","target":"BLANK"},{"linkType":"EXTERNAL","id":"external-7","url":"https://docs.microsoft.com/learn/github/?wt.mc_id=techcom_header-webpage-github","target":"BLANK"},{"linkType":"EXTERNAL","id":"external-8","url":"https://docs.microsoft.com/learn/teams/?wt.mc_id=techcom_header-webpage-teams","target":"BLANK"},{"linkType":"EXTERNAL","id":"external-9","url":"https://docs.microsoft.com/learn/dotnet/?wt.mc_id=techcom_header-webpage-dotnet","target":"BLANK"},{"linkType":"EXTERNAL","id":"external-2","url":"https://docs.microsoft.com/learn/azure/?WT.mc_id=techcom_header-webpage-m365","target":"BLANK"}],"linkType":"INTERNAL","id":"microsoft-learn","params":{"categoryId":"MicrosoftLearn"},"routeName":"CategoryPage"},{"children":[],"linkType":"INTERNAL","id":"community-info-center","params":{"categoryId":"Community-Info-Center"},"routeName":"CategoryPage"}]},"style":{"boxShadow":"var(--lia-bs-box-shadow-sm)","controllerHighlightColor":"hsla(30, 100%, 50%)","linkFontWeight":"400","dropdownDividerMarginBottom":"10px","hamburgerBorderHover":"none","linkBoxShadowHover":"none","linkFontSize":"14px","backgroundOpacity":0.8,"controllerBorderRadius":"var(--lia-border-radius-50)","hamburgerBgColor":"transparent","hamburgerColor":"var(--lia-nav-controller-icon-color)","linkTextBorderBottom":"none","brandLogoHeight":"30px","linkBgHoverColor":"transparent","linkLetterSpacing":"normal","collapseMenuDividerOpacity":0.16,"dropdownPaddingBottom":"15px","paddingBottom":"15px","dropdownMenuOffset":"2px","hamburgerBgHoverColor":"transparent","borderBottom":"1px solid var(--lia-bs-border-color)","hamburgerBorder":"none","dropdownPaddingX":"10px","brandMarginRightSm":"10px","linkBoxShadow":"none","collapseMenuDividerBg":"var(--lia-nav-link-color)","linkColor":"var(--lia-bs-body-color)","linkJustifyContent":"flex-start","dropdownPaddingTop":"10px","controllerHighlightTextColor":"var(--lia-yiq-dark)","controllerTextColor":"var(--lia-nav-controller-icon-color)","background":{"imageAssetName":"","color":"var(--lia-bs-white)","size":"COVER","repeat":"NO_REPEAT","position":"CENTER_CENTER","imageLastModified":""},"linkBorderRadius":"var(--lia-bs-border-radius-sm)","linkHoverColor":"var(--lia-bs-body-color)","position":"FIXED","linkBorder":"none","linkTextBorderBottomHover":"2px solid var(--lia-bs-body-color)","brandMarginRight":"30px","hamburgerHoverColor":"var(--lia-nav-controller-icon-color)","linkBorderHover":"none","collapseMenuMarginLeft":"20px","linkFontStyle":"NORMAL","controllerTextHoverColor":"var(--lia-nav-controller-icon-hover-color)","linkPaddingX":"10px","linkPaddingY":"5px","paddingTop":"15px","linkTextTransform":"NONE","dropdownBorderColor":"hsla(var(--lia-bs-black-h), var(--lia-bs-black-s), var(--lia-bs-black-l), 0.08)","controllerBgHoverColor":"hsla(var(--lia-bs-black-h), var(--lia-bs-black-s), var(--lia-bs-black-l), 0.1)","linkBgColor":"transparent","linkDropdownPaddingX":"var(--lia-nav-link-px)","linkDropdownPaddingY":"9px","controllerIconColor":"var(--lia-bs-body-color)","dropdownDividerMarginTop":"10px","linkGap":"10px","controllerIconHoverColor":"var(--lia-bs-body-color)"},"showSearchIcon":false,"languagePickerStyle":"iconAndLabel"},"__typename":"QuiltComponent"},{"id":"community.widget.breadcrumbWidget","props":{"backgroundColor":"transparent","linkHighlightColor":"var(--lia-bs-primary)","visualEffects":{"showBottomBorder":true},"linkTextColor":"var(--lia-bs-gray-700)"},"__typename":"QuiltComponent"},{"id":"custom.widget.community_banner","props":{"widgetVisibility":"signedInOrAnonymous","useTitle":true,"usePageWidth":false,"useBackground":false,"title":"","lazyLoad":false},"__typename":"QuiltComponent"},{"id":"custom.widget.HeroBanner","props":{"widgetVisibility":"signedInOrAnonymous","usePageWidth":false,"useTitle":true,"cMax_items":3,"useBackground":false,"title":"","lazyLoad":false,"widgetChooser":"custom.widget.HeroBanner"},"__typename":"QuiltComponent"}],"__typename":"QuiltWrapperSection"},"footer":{"backgroundImageProps":{"assetName":null,"backgroundSize":"COVER","backgroundRepeat":"NO_REPEAT","backgroundPosition":"CENTER_CENTER","lastModified":null,"__typename":"BackgroundImageProps"},"backgroundColor":"transparent","items":[{"id":"custom.widget.MicrosoftFooter","props":{"widgetVisibility":"signedInOrAnonymous","useTitle":true,"useBackground":false,"title":"","lazyLoad":false},"__typename":"QuiltComponent"}],"__typename":"QuiltWrapperSection"},"__typename":"QuiltWrapper","localOverride":false},"localOverride":false},"CachedAsset:text:en_US-components/common/ActionFeedback-1745505309826":{"__typename":"CachedAsset","id":"text:en_US-components/common/ActionFeedback-1745505309826","value":{"joinedGroupHub.title":"Welcome","joinedGroupHub.message":"You are now a member of this group and are subscribed to updates.","groupHubInviteNotFound.title":"Invitation Not Found","groupHubInviteNotFound.message":"Sorry, we could not find your invitation to the group. The owner may have canceled the invite.","groupHubNotFound.title":"Group Not Found","groupHubNotFound.message":"The grouphub you tried to join does not exist. It may have been deleted.","existingGroupHubMember.title":"Already Joined","existingGroupHubMember.message":"You are already a member of this group.","accountLocked.title":"Account Locked","accountLocked.message":"Your account has been locked due to multiple failed attempts. Try again in {lockoutTime} minutes.","editedGroupHub.title":"Changes Saved","editedGroupHub.message":"Your group has been updated.","leftGroupHub.title":"Goodbye","leftGroupHub.message":"You are no longer a member of this group and will not receive future updates.","deletedGroupHub.title":"Deleted","deletedGroupHub.message":"The group has been deleted.","groupHubCreated.title":"Group Created","groupHubCreated.message":"{groupHubName} is ready to use","accountClosed.title":"Account Closed","accountClosed.message":"The account has been closed and you will now be redirected to the homepage","resetTokenExpired.title":"Reset Password Link has Expired","resetTokenExpired.message":"Try resetting your password again","invalidUrl.title":"Invalid URL","invalidUrl.message":"The URL you're using is not recognized. Verify your URL and try again.","accountClosedForUser.title":"Account Closed","accountClosedForUser.message":"{userName}'s account is closed","inviteTokenInvalid.title":"Invitation Invalid","inviteTokenInvalid.message":"Your invitation to the community has been canceled or expired.","inviteTokenError.title":"Invitation Verification Failed","inviteTokenError.message":"The url you are utilizing is not recognized. Verify your URL and try again","pageNotFound.title":"Access Denied","pageNotFound.message":"You do not have access to this area of the community or it doesn't exist","eventAttending.title":"Responded as Attending","eventAttending.message":"You'll be notified when there's new activity and reminded as the event approaches","eventInterested.title":"Responded as Interested","eventInterested.message":"You'll be notified when there's new activity and reminded as the event approaches","eventNotFound.title":"Event Not Found","eventNotFound.message":"The event you tried to respond to does not exist.","redirectToRelatedPage.title":"Showing Related Content","redirectToRelatedPageForBaseUsers.title":"Showing Related Content","redirectToRelatedPageForBaseUsers.message":"The content you are trying to access is archived","redirectToRelatedPage.message":"The content you are trying to access is archived","relatedUrl.archivalLink.flyoutMessage":"The content you are trying to access is archived View Archived Content"},"localOverride":false},"CachedAsset:component:custom.widget.community_banner-en-1745484480471":{"__typename":"CachedAsset","id":"component:custom.widget.community_banner-en-1745484480471","value":{"component":{"id":"custom.widget.community_banner","template":{"id":"community_banner","markupLanguage":"HANDLEBARS","style":".community-banner {\n a.top-bar.btn {\n top: 0px;\n width: 100%;\n z-index: 999;\n text-align: center;\n left: 0px;\n background: #0068b8;\n color: white;\n padding: 10px 0px;\n display: block;\n box-shadow: none !important;\n border: none !important;\n border-radius: none !important;\n margin: 0px !important;\n font-size: 14px;\n }\n}\n","texts":null,"defaults":{"config":{"applicablePages":[],"description":"community announcement text","fetchedContent":null,"__typename":"ComponentConfiguration"},"props":[],"__typename":"ComponentProperties"},"components":[{"id":"custom.widget.community_banner","form":null,"config":null,"props":[],"__typename":"Component"}],"grouping":"CUSTOM","__typename":"ComponentTemplate"},"properties":{"config":{"applicablePages":[],"description":"community announcement text","fetchedContent":null,"__typename":"ComponentConfiguration"},"props":[],"__typename":"ComponentProperties"},"form":null,"__typename":"Component","localOverride":false},"globalCss":{"css":".custom_widget_community_banner_community-banner_1x9u2_1 {\n a.custom_widget_community_banner_top-bar_1x9u2_2.custom_widget_community_banner_btn_1x9u2_2 {\n top: 0;\n width: 100%;\n z-index: 999;\n text-align: center;\n left: 0;\n background: #0068b8;\n color: white;\n padding: 0.625rem 0;\n display: block;\n box-shadow: none !important;\n border: none !important;\n border-radius: none !important;\n margin: 0 !important;\n font-size: 0.875rem;\n }\n}\n","tokens":{"community-banner":"custom_widget_community_banner_community-banner_1x9u2_1","top-bar":"custom_widget_community_banner_top-bar_1x9u2_2","btn":"custom_widget_community_banner_btn_1x9u2_2"}},"form":null},"localOverride":false},"CachedAsset:component:custom.widget.HeroBanner-en-1745484480471":{"__typename":"CachedAsset","id":"component:custom.widget.HeroBanner-en-1745484480471","value":{"component":{"id":"custom.widget.HeroBanner","template":{"id":"HeroBanner","markupLanguage":"REACT","style":null,"texts":{"searchPlaceholderText":"Search this community","followActionText":"Follow","unfollowActionText":"Following","searchOnHoverText":"Please enter your search term(s) and then press return key to complete a search.","blogs.sidebar.pagetitle":"Latest Blogs | Microsoft Tech Community","followThisNode":"Follow this node","unfollowThisNode":"Unfollow this node"},"defaults":{"config":{"applicablePages":[],"description":null,"fetchedContent":null,"__typename":"ComponentConfiguration"},"props":[{"id":"max_items","dataType":"NUMBER","list":false,"defaultValue":"3","label":"Max Items","description":"The maximum number of items to display in the carousel","possibleValues":null,"control":"INPUT","__typename":"PropDefinition"}],"__typename":"ComponentProperties"},"components":[{"id":"custom.widget.HeroBanner","form":{"fields":[{"id":"widgetChooser","validation":null,"noValidation":null,"dataType":"STRING","list":null,"control":null,"defaultValue":null,"label":null,"description":null,"possibleValues":null,"__typename":"FormField"},{"id":"title","validation":null,"noValidation":null,"dataType":"STRING","list":null,"control":null,"defaultValue":null,"label":null,"description":null,"possibleValues":null,"__typename":"FormField"},{"id":"useTitle","validation":null,"noValidation":null,"dataType":"BOOLEAN","list":null,"control":null,"defaultValue":null,"label":null,"description":null,"possibleValues":null,"__typename":"FormField"},{"id":"useBackground","validation":null,"noValidation":null,"dataType":"BOOLEAN","list":null,"control":null,"defaultValue":null,"label":null,"description":null,"possibleValues":null,"__typename":"FormField"},{"id":"widgetVisibility","validation":null,"noValidation":null,"dataType":"STRING","list":null,"control":null,"defaultValue":null,"label":null,"description":null,"possibleValues":null,"__typename":"FormField"},{"id":"moreOptions","validation":null,"noValidation":null,"dataType":"STRING","list":null,"control":null,"defaultValue":null,"label":null,"description":null,"possibleValues":null,"__typename":"FormField"},{"id":"cMax_items","validation":null,"noValidation":null,"dataType":"NUMBER","list":false,"control":"INPUT","defaultValue":"3","label":"Max Items","description":"The maximum number of items to display in the carousel","possibleValues":null,"__typename":"FormField"}],"layout":{"rows":[{"id":"widgetChooserGroup","type":"fieldset","as":null,"items":[{"id":"widgetChooser","className":null,"__typename":"FormFieldRef"}],"props":null,"legend":null,"description":null,"className":null,"viewVariant":null,"toggleState":null,"__typename":"FormFieldset"},{"id":"titleGroup","type":"fieldset","as":null,"items":[{"id":"title","className":null,"__typename":"FormFieldRef"},{"id":"useTitle","className":null,"__typename":"FormFieldRef"}],"props":null,"legend":null,"description":null,"className":null,"viewVariant":null,"toggleState":null,"__typename":"FormFieldset"},{"id":"useBackground","type":"fieldset","as":null,"items":[{"id":"useBackground","className":null,"__typename":"FormFieldRef"}],"props":null,"legend":null,"description":null,"className":null,"viewVariant":null,"toggleState":null,"__typename":"FormFieldset"},{"id":"widgetVisibility","type":"fieldset","as":null,"items":[{"id":"widgetVisibility","className":null,"__typename":"FormFieldRef"}],"props":null,"legend":null,"description":null,"className":null,"viewVariant":null,"toggleState":null,"__typename":"FormFieldset"},{"id":"moreOptionsGroup","type":"fieldset","as":null,"items":[{"id":"moreOptions","className":null,"__typename":"FormFieldRef"}],"props":null,"legend":null,"description":null,"className":null,"viewVariant":null,"toggleState":null,"__typename":"FormFieldset"},{"id":"componentPropsGroup","type":"fieldset","as":null,"items":[{"id":"cMax_items","className":null,"__typename":"FormFieldRef"}],"props":null,"legend":null,"description":null,"className":null,"viewVariant":null,"toggleState":null,"__typename":"FormFieldset"}],"actionButtons":null,"className":"custom_widget_HeroBanner_form","formGroupFieldSeparator":"divider","__typename":"FormLayout"},"__typename":"Form"},"config":null,"props":[],"__typename":"Component"}],"grouping":"CUSTOM","__typename":"ComponentTemplate"},"properties":{"config":{"applicablePages":[],"description":null,"fetchedContent":null,"__typename":"ComponentConfiguration"},"props":[{"id":"max_items","dataType":"NUMBER","list":false,"defaultValue":"3","label":"Max Items","description":"The maximum number of items to display in the carousel","possibleValues":null,"control":"INPUT","__typename":"PropDefinition"}],"__typename":"ComponentProperties"},"form":{"fields":[{"id":"widgetChooser","validation":null,"noValidation":null,"dataType":"STRING","list":null,"control":null,"defaultValue":null,"label":null,"description":null,"possibleValues":null,"__typename":"FormField"},{"id":"title","validation":null,"noValidation":null,"dataType":"STRING","list":null,"control":null,"defaultValue":null,"label":null,"description":null,"possibleValues":null,"__typename":"FormField"},{"id":"useTitle","validation":null,"noValidation":null,"dataType":"BOOLEAN","list":null,"control":null,"defaultValue":null,"label":null,"description":null,"possibleValues":null,"__typename":"FormField"},{"id":"useBackground","validation":null,"noValidation":null,"dataType":"BOOLEAN","list":null,"control":null,"defaultValue":null,"label":null,"description":null,"possibleValues":null,"__typename":"FormField"},{"id":"widgetVisibility","validation":null,"noValidation":null,"dataType":"STRING","list":null,"control":null,"defaultValue":null,"label":null,"description":null,"possibleValues":null,"__typename":"FormField"},{"id":"moreOptions","validation":null,"noValidation":null,"dataType":"STRING","list":null,"control":null,"defaultValue":null,"label":null,"description":null,"possibleValues":null,"__typename":"FormField"},{"id":"cMax_items","validation":null,"noValidation":null,"dataType":"NUMBER","list":false,"control":"INPUT","defaultValue":"3","label":"Max Items","description":"The maximum number of items to display in the carousel","possibleValues":null,"__typename":"FormField"}],"layout":{"rows":[{"id":"widgetChooserGroup","type":"fieldset","as":null,"items":[{"id":"widgetChooser","className":null,"__typename":"FormFieldRef"}],"props":null,"legend":null,"description":null,"className":null,"viewVariant":null,"toggleState":null,"__typename":"FormFieldset"},{"id":"titleGroup","type":"fieldset","as":null,"items":[{"id":"title","className":null,"__typename":"FormFieldRef"},{"id":"useTitle","className":null,"__typename":"FormFieldRef"}],"props":null,"legend":null,"description":null,"className":null,"viewVariant":null,"toggleState":null,"__typename":"FormFieldset"},{"id":"useBackground","type":"fieldset","as":null,"items":[{"id":"useBackground","className":null,"__typename":"FormFieldRef"}],"props":null,"legend":null,"description":null,"className":null,"viewVariant":null,"toggleState":null,"__typename":"FormFieldset"},{"id":"widgetVisibility","type":"fieldset","as":null,"items":[{"id":"widgetVisibility","className":null,"__typename":"FormFieldRef"}],"props":null,"legend":null,"description":null,"className":null,"viewVariant":null,"toggleState":null,"__typename":"FormFieldset"},{"id":"moreOptionsGroup","type":"fieldset","as":null,"items":[{"id":"moreOptions","className":null,"__typename":"FormFieldRef"}],"props":null,"legend":null,"description":null,"className":null,"viewVariant":null,"toggleState":null,"__typename":"FormFieldset"},{"id":"componentPropsGroup","type":"fieldset","as":null,"items":[{"id":"cMax_items","className":null,"__typename":"FormFieldRef"}],"props":null,"legend":null,"description":null,"className":null,"viewVariant":null,"toggleState":null,"__typename":"FormFieldset"}],"actionButtons":null,"className":"custom_widget_HeroBanner_form","formGroupFieldSeparator":"divider","__typename":"FormLayout"},"__typename":"Form"},"__typename":"Component","localOverride":false},"globalCss":null,"form":{"fields":[{"id":"widgetChooser","validation":null,"noValidation":null,"dataType":"STRING","list":null,"control":null,"defaultValue":null,"label":null,"description":null,"possibleValues":null,"__typename":"FormField"},{"id":"title","validation":null,"noValidation":null,"dataType":"STRING","list":null,"control":null,"defaultValue":null,"label":null,"description":null,"possibleValues":null,"__typename":"FormField"},{"id":"useTitle","validation":null,"noValidation":null,"dataType":"BOOLEAN","list":null,"control":null,"defaultValue":null,"label":null,"description":null,"possibleValues":null,"__typename":"FormField"},{"id":"useBackground","validation":null,"noValidation":null,"dataType":"BOOLEAN","list":null,"control":null,"defaultValue":null,"label":null,"description":null,"possibleValues":null,"__typename":"FormField"},{"id":"widgetVisibility","validation":null,"noValidation":null,"dataType":"STRING","list":null,"control":null,"defaultValue":null,"label":null,"description":null,"possibleValues":null,"__typename":"FormField"},{"id":"moreOptions","validation":null,"noValidation":null,"dataType":"STRING","list":null,"control":null,"defaultValue":null,"label":null,"description":null,"possibleValues":null,"__typename":"FormField"},{"id":"cMax_items","validation":null,"noValidation":null,"dataType":"NUMBER","list":false,"control":"INPUT","defaultValue":"3","label":"Max Items","description":"The maximum number of items to display in the carousel","possibleValues":null,"__typename":"FormField"}],"layout":{"rows":[{"id":"widgetChooserGroup","type":"fieldset","as":null,"items":[{"id":"widgetChooser","className":null,"__typename":"FormFieldRef"}],"props":null,"legend":null,"description":null,"className":null,"viewVariant":null,"toggleState":null,"__typename":"FormFieldset"},{"id":"titleGroup","type":"fieldset","as":null,"items":[{"id":"title","className":null,"__typename":"FormFieldRef"},{"id":"useTitle","className":null,"__typename":"FormFieldRef"}],"props":null,"legend":null,"description":null,"className":null,"viewVariant":null,"toggleState":null,"__typename":"FormFieldset"},{"id":"useBackground","type":"fieldset","as":null,"items":[{"id":"useBackground","className":null,"__typename":"FormFieldRef"}],"props":null,"legend":null,"description":null,"className":null,"viewVariant":null,"toggleState":null,"__typename":"FormFieldset"},{"id":"widgetVisibility","type":"fieldset","as":null,"items":[{"id":"widgetVisibility","className":null,"__typename":"FormFieldRef"}],"props":null,"legend":null,"description":null,"className":null,"viewVariant":null,"toggleState":null,"__typename":"FormFieldset"},{"id":"moreOptionsGroup","type":"fieldset","as":null,"items":[{"id":"moreOptions","className":null,"__typename":"FormFieldRef"}],"props":null,"legend":null,"description":null,"className":null,"viewVariant":null,"toggleState":null,"__typename":"FormFieldset"},{"id":"componentPropsGroup","type":"fieldset","as":null,"items":[{"id":"cMax_items","className":null,"__typename":"FormFieldRef"}],"props":null,"legend":null,"description":null,"className":null,"viewVariant":null,"toggleState":null,"__typename":"FormFieldset"}],"actionButtons":null,"className":"custom_widget_HeroBanner_form","formGroupFieldSeparator":"divider","__typename":"FormLayout"},"__typename":"Form"}},"localOverride":false},"CachedAsset:component:custom.widget.Featured_Resources-en-1745484480471":{"__typename":"CachedAsset","id":"component:custom.widget.Featured_Resources-en-1745484480471","value":{"component":{"id":"custom.widget.Featured_Resources","template":{"id":"Featured_Resources","markupLanguage":"REACT","style":null,"texts":{"resourceTitle":"Title","titlePlaceholder":"Resource title","urlPlaceholder":"Resource URL","resourceUrl":"URL","addResource":"Add Resource","cancel":"Cancel","removeResource":"Remove Resource","error":"Error","itemNotSaved":"Item not saved. {message}","errorMessage":"An error occurred. Please try again."},"defaults":{"config":{"applicablePages":[],"description":null,"fetchedContent":null,"__typename":"ComponentConfiguration"},"props":[],"__typename":"ComponentProperties"},"components":[{"id":"custom.widget.Featured_Resources","form":null,"config":null,"props":[],"__typename":"Component"}],"grouping":"CUSTOM","__typename":"ComponentTemplate"},"properties":{"config":{"applicablePages":[],"description":null,"fetchedContent":null,"__typename":"ComponentConfiguration"},"props":[],"__typename":"ComponentProperties"},"form":null,"__typename":"Component","localOverride":false},"globalCss":null,"form":null},"localOverride":false},"CachedAsset:component:custom.widget.MicrosoftFooter-en-1745484480471":{"__typename":"CachedAsset","id":"component:custom.widget.MicrosoftFooter-en-1745484480471","value":{"component":{"id":"custom.widget.MicrosoftFooter","template":{"id":"MicrosoftFooter","markupLanguage":"HANDLEBARS","style":".context-uhf {\n min-width: 280px;\n font-size: 15px;\n box-sizing: border-box;\n -ms-text-size-adjust: 100%;\n -webkit-text-size-adjust: 100%;\n & *,\n & *:before,\n & *:after {\n box-sizing: inherit;\n }\n a.c-uhff-link {\n color: #616161;\n word-break: break-word;\n text-decoration: none;\n }\n &a:link,\n &a:focus,\n &a:hover,\n &a:active,\n &a:visited {\n text-decoration: none;\n color: inherit;\n }\n & div {\n font-family: 'Segoe UI', SegoeUI, 'Helvetica Neue', Helvetica, Arial, sans-serif;\n }\n}\n.c-uhff {\n background: #f2f2f2;\n margin: -1.5625;\n width: auto;\n height: auto;\n}\n.c-uhff-nav {\n margin: 0 auto;\n max-width: calc(1600px + 10%);\n padding: 0 5%;\n box-sizing: inherit;\n &:before,\n &:after {\n content: ' ';\n display: table;\n clear: left;\n }\n @media only screen and (max-width: 1083px) {\n padding-left: 12px;\n }\n .c-heading-4 {\n color: #616161;\n word-break: break-word;\n font-size: 15px;\n line-height: 20px;\n padding: 36px 0 4px;\n font-weight: 600;\n }\n .c-uhff-nav-row {\n .c-uhff-nav-group {\n display: block;\n float: left;\n min-height: 1px;\n vertical-align: text-top;\n padding: 0 12px;\n width: 100%;\n zoom: 1;\n &:first-child {\n padding-left: 0;\n @media only screen and (max-width: 1083px) {\n padding-left: 12px;\n }\n }\n @media only screen and (min-width: 540px) and (max-width: 1082px) {\n width: 33.33333%;\n }\n @media only screen and (min-width: 1083px) {\n width: 16.6666666667%;\n }\n ul.c-list.f-bare {\n font-size: 11px;\n line-height: 16px;\n margin-top: 0;\n margin-bottom: 0;\n padding-left: 0;\n list-style-type: none;\n li {\n word-break: break-word;\n padding: 8px 0;\n margin: 0;\n }\n }\n }\n }\n}\n.c-uhff-base {\n background: #f2f2f2;\n margin: 0 auto;\n max-width: calc(1600px + 10%);\n padding: 30px 5% 16px;\n &:before,\n &:after {\n content: ' ';\n display: table;\n }\n &:after {\n clear: both;\n }\n a.c-uhff-ccpa {\n font-size: 11px;\n line-height: 16px;\n float: left;\n margin: 3px 0;\n }\n a.c-uhff-ccpa:hover {\n text-decoration: underline;\n }\n ul.c-list {\n font-size: 11px;\n line-height: 16px;\n float: right;\n margin: 3px 0;\n color: #616161;\n li {\n padding: 0 24px 4px 0;\n display: inline-block;\n }\n }\n .c-list.f-bare {\n padding-left: 0;\n list-style-type: none;\n }\n @media only screen and (max-width: 1083px) {\n display: flex;\n flex-wrap: wrap;\n padding: 30px 24px 16px;\n }\n}\n\n.social-share {\n position: fixed;\n top: 60%;\n transform: translateY(-50%);\n left: 0;\n z-index: 1000;\n}\n\n.sharing-options {\n list-style: none;\n padding: 0;\n margin: 0;\n display: block;\n flex-direction: column;\n background-color: white;\n width: 43px;\n border-radius: 0px 7px 7px 0px;\n}\n.linkedin-icon {\n border-top-right-radius: 7px;\n}\n.linkedin-icon:hover {\n border-radius: 0;\n}\n.social-share-rss-image {\n border-bottom-right-radius: 7px;\n}\n.social-share-rss-image:hover {\n border-radius: 0;\n}\n\n.social-link-footer {\n position: relative;\n display: block;\n margin: -2px 0;\n transition: all 0.2s ease;\n}\n.social-link-footer:hover .linkedin-icon {\n border-radius: 0;\n}\n.social-link-footer:hover .social-share-rss-image {\n border-radius: 0;\n}\n\n.social-link-footer img {\n width: 40px;\n height: auto;\n transition: filter 0.3s ease;\n}\n\n.social-share-list {\n width: 40px;\n}\n.social-share-rss-image {\n width: 40px;\n}\n\n.share-icon {\n border: 2px solid transparent;\n display: inline-block;\n position: relative;\n}\n\n.share-icon:hover {\n opacity: 1;\n border: 2px solid white;\n box-sizing: border-box;\n}\n\n.share-icon:hover .label {\n opacity: 1;\n visibility: visible;\n border: 2px solid white;\n box-sizing: border-box;\n border-left: none;\n}\n\n.label {\n position: absolute;\n left: 100%;\n white-space: nowrap;\n opacity: 0;\n visibility: hidden;\n transition: all 0.2s ease;\n color: white;\n border-radius: 0 10 0 10px;\n top: 50%;\n transform: translateY(-50%);\n height: 40px;\n border-radius: 0 6px 6px 0;\n display: flex;\n align-items: center;\n justify-content: center;\n padding: 20px 5px 20px 8px;\n margin-left: -1px;\n}\n.linkedin {\n background-color: #0474b4;\n}\n.facebook {\n background-color: #3c5c9c;\n}\n.twitter {\n background-color: white;\n color: black;\n}\n.reddit {\n background-color: #fc4404;\n}\n.mail {\n background-color: #848484;\n}\n.bluesky {\n background-color: white;\n color: black;\n}\n.rss {\n background-color: #ec7b1c;\n}\n#RSS {\n width: 40px;\n height: 40px;\n}\n\n@media (max-width: 991px) {\n .social-share {\n display: none;\n }\n}\n","texts":{"New tab":"What's New","New 1":"Surface Laptop Studio 2","New 2":"Surface Laptop Go 3","New 3":"Surface Pro 9","New 4":"Surface Laptop 5","New 5":"Surface Studio 2+","New 6":"Copilot in Windows","New 7":"Microsoft 365","New 8":"Windows 11 apps","Store tab":"Microsoft Store","Store 1":"Account Profile","Store 2":"Download Center","Store 3":"Microsoft Store Support","Store 4":"Returns","Store 5":"Order tracking","Store 6":"Certified Refurbished","Store 7":"Microsoft Store Promise","Store 8":"Flexible Payments","Education tab":"Education","Edu 1":"Microsoft in education","Edu 2":"Devices for education","Edu 3":"Microsoft Teams for Education","Edu 4":"Microsoft 365 Education","Edu 5":"How to buy for your school","Edu 6":"Educator Training and development","Edu 7":"Deals for students and parents","Edu 8":"Azure for students","Business tab":"Business","Bus 1":"Microsoft Cloud","Bus 2":"Microsoft Security","Bus 3":"Dynamics 365","Bus 4":"Microsoft 365","Bus 5":"Microsoft Power Platform","Bus 6":"Microsoft Teams","Bus 7":"Microsoft Industry","Bus 8":"Small Business","Developer tab":"Developer & IT","Dev 1":"Azure","Dev 2":"Developer Center","Dev 3":"Documentation","Dev 4":"Microsoft Learn","Dev 5":"Microsoft Tech Community","Dev 6":"Azure Marketplace","Dev 7":"AppSource","Dev 8":"Visual Studio","Company tab":"Company","Com 1":"Careers","Com 2":"About Microsoft","Com 3":"Company News","Com 4":"Privacy at Microsoft","Com 5":"Investors","Com 6":"Diversity and inclusion","Com 7":"Accessiblity","Com 8":"Sustainibility"},"defaults":{"config":{"applicablePages":[],"description":"The Microsoft Footer","fetchedContent":null,"__typename":"ComponentConfiguration"},"props":[],"__typename":"ComponentProperties"},"components":[{"id":"custom.widget.MicrosoftFooter","form":null,"config":null,"props":[],"__typename":"Component"}],"grouping":"CUSTOM","__typename":"ComponentTemplate"},"properties":{"config":{"applicablePages":[],"description":"The Microsoft Footer","fetchedContent":null,"__typename":"ComponentConfiguration"},"props":[],"__typename":"ComponentProperties"},"form":null,"__typename":"Component","localOverride":false},"globalCss":{"css":".custom_widget_MicrosoftFooter_context-uhf_105bp_1 {\n min-width: 17.5rem;\n font-size: 0.9375rem;\n box-sizing: border-box;\n -ms-text-size-adjust: 100%;\n -webkit-text-size-adjust: 100%;\n & *,\n & *:before,\n & *:after {\n box-sizing: inherit;\n }\n a.custom_widget_MicrosoftFooter_c-uhff-link_105bp_12 {\n color: #616161;\n word-break: break-word;\n text-decoration: none;\n }\n &a:link,\n &a:focus,\n &a:hover,\n &a:active,\n &a:visited {\n text-decoration: none;\n color: inherit;\n }\n & div {\n font-family: 'Segoe UI', SegoeUI, 'Helvetica Neue', Helvetica, Arial, sans-serif;\n }\n}\n.custom_widget_MicrosoftFooter_c-uhff_105bp_12 {\n background: #f2f2f2;\n margin: -1.5625;\n width: auto;\n height: auto;\n}\n.custom_widget_MicrosoftFooter_c-uhff-nav_105bp_35 {\n margin: 0 auto;\n max-width: calc(100rem + 10%);\n padding: 0 5%;\n box-sizing: inherit;\n &:before,\n &:after {\n content: ' ';\n display: table;\n clear: left;\n }\n @media only screen and (max-width: 1083px) {\n padding-left: 0.75rem;\n }\n .custom_widget_MicrosoftFooter_c-heading-4_105bp_49 {\n color: #616161;\n word-break: break-word;\n font-size: 0.9375rem;\n line-height: 1.25rem;\n padding: 2.25rem 0 0.25rem;\n font-weight: 600;\n }\n .custom_widget_MicrosoftFooter_c-uhff-nav-row_105bp_57 {\n .custom_widget_MicrosoftFooter_c-uhff-nav-group_105bp_58 {\n display: block;\n float: left;\n min-height: 0.0625rem;\n vertical-align: text-top;\n padding: 0 0.75rem;\n width: 100%;\n zoom: 1;\n &:first-child {\n padding-left: 0;\n @media only screen and (max-width: 1083px) {\n padding-left: 0.75rem;\n }\n }\n @media only screen and (min-width: 540px) and (max-width: 1082px) {\n width: 33.33333%;\n }\n @media only screen and (min-width: 1083px) {\n width: 16.6666666667%;\n }\n ul.custom_widget_MicrosoftFooter_c-list_105bp_78.custom_widget_MicrosoftFooter_f-bare_105bp_78 {\n font-size: 0.6875rem;\n line-height: 1rem;\n margin-top: 0;\n margin-bottom: 0;\n padding-left: 0;\n list-style-type: none;\n li {\n word-break: break-word;\n padding: 0.5rem 0;\n margin: 0;\n }\n }\n }\n }\n}\n.custom_widget_MicrosoftFooter_c-uhff-base_105bp_94 {\n background: #f2f2f2;\n margin: 0 auto;\n max-width: calc(100rem + 10%);\n padding: 1.875rem 5% 1rem;\n &:before,\n &:after {\n content: ' ';\n display: table;\n }\n &:after {\n clear: both;\n }\n a.custom_widget_MicrosoftFooter_c-uhff-ccpa_105bp_107 {\n font-size: 0.6875rem;\n line-height: 1rem;\n float: left;\n margin: 0.1875rem 0;\n }\n a.custom_widget_MicrosoftFooter_c-uhff-ccpa_105bp_107:hover {\n text-decoration: underline;\n }\n ul.custom_widget_MicrosoftFooter_c-list_105bp_78 {\n font-size: 0.6875rem;\n line-height: 1rem;\n float: right;\n margin: 0.1875rem 0;\n color: #616161;\n li {\n padding: 0 1.5rem 0.25rem 0;\n display: inline-block;\n }\n }\n .custom_widget_MicrosoftFooter_c-list_105bp_78.custom_widget_MicrosoftFooter_f-bare_105bp_78 {\n padding-left: 0;\n list-style-type: none;\n }\n @media only screen and (max-width: 1083px) {\n display: flex;\n flex-wrap: wrap;\n padding: 1.875rem 1.5rem 1rem;\n }\n}\n.custom_widget_MicrosoftFooter_social-share_105bp_138 {\n position: fixed;\n top: 60%;\n transform: translateY(-50%);\n left: 0;\n z-index: 1000;\n}\n.custom_widget_MicrosoftFooter_sharing-options_105bp_146 {\n list-style: none;\n padding: 0;\n margin: 0;\n display: block;\n flex-direction: column;\n background-color: white;\n width: 2.6875rem;\n border-radius: 0 0.4375rem 0.4375rem 0;\n}\n.custom_widget_MicrosoftFooter_linkedin-icon_105bp_156 {\n border-top-right-radius: 7px;\n}\n.custom_widget_MicrosoftFooter_linkedin-icon_105bp_156:hover {\n border-radius: 0;\n}\n.custom_widget_MicrosoftFooter_social-share-rss-image_105bp_162 {\n border-bottom-right-radius: 7px;\n}\n.custom_widget_MicrosoftFooter_social-share-rss-image_105bp_162:hover {\n border-radius: 0;\n}\n.custom_widget_MicrosoftFooter_social-link-footer_105bp_169 {\n position: relative;\n display: block;\n margin: -0.125rem 0;\n transition: all 0.2s ease;\n}\n.custom_widget_MicrosoftFooter_social-link-footer_105bp_169:hover .custom_widget_MicrosoftFooter_linkedin-icon_105bp_156 {\n border-radius: 0;\n}\n.custom_widget_MicrosoftFooter_social-link-footer_105bp_169:hover .custom_widget_MicrosoftFooter_social-share-rss-image_105bp_162 {\n border-radius: 0;\n}\n.custom_widget_MicrosoftFooter_social-link-footer_105bp_169 img {\n width: 2.5rem;\n height: auto;\n transition: filter 0.3s ease;\n}\n.custom_widget_MicrosoftFooter_social-share-list_105bp_188 {\n width: 2.5rem;\n}\n.custom_widget_MicrosoftFooter_social-share-rss-image_105bp_162 {\n width: 2.5rem;\n}\n.custom_widget_MicrosoftFooter_share-icon_105bp_195 {\n border: 2px solid transparent;\n display: inline-block;\n position: relative;\n}\n.custom_widget_MicrosoftFooter_share-icon_105bp_195:hover {\n opacity: 1;\n border: 2px solid white;\n box-sizing: border-box;\n}\n.custom_widget_MicrosoftFooter_share-icon_105bp_195:hover .custom_widget_MicrosoftFooter_label_105bp_207 {\n opacity: 1;\n visibility: visible;\n border: 2px solid white;\n box-sizing: border-box;\n border-left: none;\n}\n.custom_widget_MicrosoftFooter_label_105bp_207 {\n position: absolute;\n left: 100%;\n white-space: nowrap;\n opacity: 0;\n visibility: hidden;\n transition: all 0.2s ease;\n color: white;\n border-radius: 0 10 0 0.625rem;\n top: 50%;\n transform: translateY(-50%);\n height: 2.5rem;\n border-radius: 0 0.375rem 0.375rem 0;\n display: flex;\n align-items: center;\n justify-content: center;\n padding: 1.25rem 0.3125rem 1.25rem 0.5rem;\n margin-left: -0.0625rem;\n}\n.custom_widget_MicrosoftFooter_linkedin_105bp_156 {\n background-color: #0474b4;\n}\n.custom_widget_MicrosoftFooter_facebook_105bp_237 {\n background-color: #3c5c9c;\n}\n.custom_widget_MicrosoftFooter_twitter_105bp_240 {\n background-color: white;\n color: black;\n}\n.custom_widget_MicrosoftFooter_reddit_105bp_244 {\n background-color: #fc4404;\n}\n.custom_widget_MicrosoftFooter_mail_105bp_247 {\n background-color: #848484;\n}\n.custom_widget_MicrosoftFooter_bluesky_105bp_250 {\n background-color: white;\n color: black;\n}\n.custom_widget_MicrosoftFooter_rss_105bp_254 {\n background-color: #ec7b1c;\n}\n#custom_widget_MicrosoftFooter_RSS_105bp_1 {\n width: 2.5rem;\n height: 2.5rem;\n}\n@media (max-width: 991px) {\n .custom_widget_MicrosoftFooter_social-share_105bp_138 {\n display: none;\n }\n}\n","tokens":{"context-uhf":"custom_widget_MicrosoftFooter_context-uhf_105bp_1","c-uhff-link":"custom_widget_MicrosoftFooter_c-uhff-link_105bp_12","c-uhff":"custom_widget_MicrosoftFooter_c-uhff_105bp_12","c-uhff-nav":"custom_widget_MicrosoftFooter_c-uhff-nav_105bp_35","c-heading-4":"custom_widget_MicrosoftFooter_c-heading-4_105bp_49","c-uhff-nav-row":"custom_widget_MicrosoftFooter_c-uhff-nav-row_105bp_57","c-uhff-nav-group":"custom_widget_MicrosoftFooter_c-uhff-nav-group_105bp_58","c-list":"custom_widget_MicrosoftFooter_c-list_105bp_78","f-bare":"custom_widget_MicrosoftFooter_f-bare_105bp_78","c-uhff-base":"custom_widget_MicrosoftFooter_c-uhff-base_105bp_94","c-uhff-ccpa":"custom_widget_MicrosoftFooter_c-uhff-ccpa_105bp_107","social-share":"custom_widget_MicrosoftFooter_social-share_105bp_138","sharing-options":"custom_widget_MicrosoftFooter_sharing-options_105bp_146","linkedin-icon":"custom_widget_MicrosoftFooter_linkedin-icon_105bp_156","social-share-rss-image":"custom_widget_MicrosoftFooter_social-share-rss-image_105bp_162","social-link-footer":"custom_widget_MicrosoftFooter_social-link-footer_105bp_169","social-share-list":"custom_widget_MicrosoftFooter_social-share-list_105bp_188","share-icon":"custom_widget_MicrosoftFooter_share-icon_105bp_195","label":"custom_widget_MicrosoftFooter_label_105bp_207","linkedin":"custom_widget_MicrosoftFooter_linkedin_105bp_156","facebook":"custom_widget_MicrosoftFooter_facebook_105bp_237","twitter":"custom_widget_MicrosoftFooter_twitter_105bp_240","reddit":"custom_widget_MicrosoftFooter_reddit_105bp_244","mail":"custom_widget_MicrosoftFooter_mail_105bp_247","bluesky":"custom_widget_MicrosoftFooter_bluesky_105bp_250","rss":"custom_widget_MicrosoftFooter_rss_105bp_254","RSS":"custom_widget_MicrosoftFooter_RSS_105bp_1"}},"form":null},"localOverride":false},"CachedAsset:text:en_US-components/community/Breadcrumb-1745505309826":{"__typename":"CachedAsset","id":"text:en_US-components/community/Breadcrumb-1745505309826","value":{"navLabel":"Breadcrumbs","dropdown":"Additional parent page navigation"},"localOverride":false},"CachedAsset:text:en_US-components/messages/MessageBanner-1745505309826":{"__typename":"CachedAsset","id":"text:en_US-components/messages/MessageBanner-1745505309826","value":{"messageMarkedAsSpam":"This post has been marked as spam","messageMarkedAsSpam@board:TKB":"This article has been marked as spam","messageMarkedAsSpam@board:BLOG":"This post has been marked as spam","messageMarkedAsSpam@board:FORUM":"This discussion has been marked as spam","messageMarkedAsSpam@board:OCCASION":"This event has been marked as spam","messageMarkedAsSpam@board:IDEA":"This idea has been marked as spam","manageSpam":"Manage Spam","messageMarkedAsAbuse":"This post has been marked as abuse","messageMarkedAsAbuse@board:TKB":"This article has been marked as abuse","messageMarkedAsAbuse@board:BLOG":"This post has been marked as abuse","messageMarkedAsAbuse@board:FORUM":"This discussion has been marked as abuse","messageMarkedAsAbuse@board:OCCASION":"This event has been marked as abuse","messageMarkedAsAbuse@board:IDEA":"This idea has been marked as abuse","preModCommentAuthorText":"This comment will be published as soon as it is approved","preModCommentModeratorText":"This comment is awaiting moderation","messageMarkedAsOther":"This post has been rejected due to other reasons","messageMarkedAsOther@board:TKB":"This article has been rejected due to other reasons","messageMarkedAsOther@board:BLOG":"This post has been rejected due to other reasons","messageMarkedAsOther@board:FORUM":"This discussion has been rejected due to other reasons","messageMarkedAsOther@board:OCCASION":"This event has been rejected due to other reasons","messageMarkedAsOther@board:IDEA":"This idea has been rejected due to other reasons","messageArchived":"This post was archived on {date}","relatedUrl":"View Related Content","relatedContentText":"Showing related content","archivedContentLink":"View Archived Content"},"localOverride":false},"Category:category:Exchange":{"__typename":"Category","id":"category:Exchange","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:Outlook":{"__typename":"Category","id":"category:Outlook","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:Community-Info-Center":{"__typename":"Category","id":"category:Community-Info-Center","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:EducationSector":{"__typename":"Category","id":"category:EducationSector","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:DrivingAdoption":{"__typename":"Category","id":"category:DrivingAdoption","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:Azure":{"__typename":"Category","id":"category:Azure","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:Windows-Server":{"__typename":"Category","id":"category:Windows-Server","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:MicrosoftTeams":{"__typename":"Category","id":"category:MicrosoftTeams","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:PublicSector":{"__typename":"Category","id":"category:PublicSector","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:IoT":{"__typename":"Category","id":"category:IoT","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:HealthcareAndLifeSciences":{"__typename":"Category","id":"category:HealthcareAndLifeSciences","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:ITOpsTalk":{"__typename":"Category","id":"category:ITOpsTalk","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:MicrosoftLearn":{"__typename":"Category","id":"category:MicrosoftLearn","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Blog:board:MicrosoftLearnBlog":{"__typename":"Blog","id":"board:MicrosoftLearnBlog","blogPolicies":{"__typename":"BlogPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}},"boardPolicies":{"__typename":"BoardPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:AI":{"__typename":"Category","id":"category:AI","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:MicrosoftMechanics":{"__typename":"Category","id":"category:MicrosoftMechanics","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:MicrosoftforNonprofits":{"__typename":"Category","id":"category:MicrosoftforNonprofits","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:StartupsatMicrosoft":{"__typename":"Category","id":"category:StartupsatMicrosoft","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:PartnerCommunity":{"__typename":"Category","id":"category:PartnerCommunity","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:Microsoft365Copilot":{"__typename":"Category","id":"category:Microsoft365Copilot","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:Windows":{"__typename":"Category","id":"category:Windows","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:Content_Management":{"__typename":"Category","id":"category:Content_Management","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:microsoft-security":{"__typename":"Category","id":"category:microsoft-security","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:microsoftintune":{"__typename":"Category","id":"category:microsoftintune","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"CachedAsset:text:en_US-components/community/Navbar-1745505309826":{"__typename":"CachedAsset","id":"text:en_US-components/community/Navbar-1745505309826","value":{"community":"Community Home","inbox":"Inbox","manageContent":"Manage Content","tos":"Terms of Service","forgotPassword":"Forgot Password","themeEditor":"Theme Editor","edit":"Edit Navigation Bar","skipContent":"Skip to content","gxcuf89792":"Tech Community","external-1":"Events","s-m-b":"Nonprofit Community","windows-server":"Windows Server","education-sector":"Education Sector","driving-adoption":"Driving Adoption","Common-content_management-link":"Content Management","microsoft-learn":"Microsoft Learn","s-q-l-server":"Content Management","partner-community":"Microsoft Partner Community","microsoft365":"Microsoft 365","external-9":".NET","external-8":"Teams","external-7":"Github","products-services":"Products","external-6":"Power Platform","communities-1":"Topics","external-5":"Microsoft Security","planner":"Outlook","external-4":"Microsoft 365","external-3":"Dynamics 365","azure":"Azure","healthcare-and-life-sciences":"Healthcare and Life Sciences","external-2":"Azure","microsoft-mechanics":"Microsoft Mechanics","microsoft-learn-1":"Community","external-10":"Learning Room Directory","microsoft-learn-blog":"Blog","windows":"Windows","i-t-ops-talk":"ITOps Talk","external-link-1":"View All","microsoft-securityand-compliance":"Microsoft Security","public-sector":"Public Sector","community-info-center":"Lounge","external-link-2":"View All","microsoft-teams":"Microsoft Teams","external":"Blogs","microsoft-endpoint-manager":"Microsoft Intune","startupsat-microsoft":"Startups at Microsoft","exchange":"Exchange","a-i":"AI and Machine Learning","io-t":"Internet of Things (IoT)","Common-microsoft365-copilot-link":"Microsoft 365 Copilot","outlook":"Microsoft 365 Copilot","external-link":"Community Hubs","communities":"Products"},"localOverride":false},"CachedAsset:text:en_US-components/community/NavbarHamburgerDropdown-1745505309826":{"__typename":"CachedAsset","id":"text:en_US-components/community/NavbarHamburgerDropdown-1745505309826","value":{"hamburgerLabel":"Side Menu"},"localOverride":false},"CachedAsset:text:en_US-components/community/BrandLogo-1745505309826":{"__typename":"CachedAsset","id":"text:en_US-components/community/BrandLogo-1745505309826","value":{"logoAlt":"Khoros","themeLogoAlt":"Brand Logo"},"localOverride":false},"CachedAsset:text:en_US-components/community/NavbarTextLinks-1745505309826":{"__typename":"CachedAsset","id":"text:en_US-components/community/NavbarTextLinks-1745505309826","value":{"more":"More"},"localOverride":false},"CachedAsset:text:en_US-components/authentication/AuthenticationLink-1745505309826":{"__typename":"CachedAsset","id":"text:en_US-components/authentication/AuthenticationLink-1745505309826","value":{"title.login":"Sign In","title.registration":"Register","title.forgotPassword":"Forgot Password","title.multiAuthLogin":"Sign In"},"localOverride":false},"CachedAsset:text:en_US-components/nodes/NodeLink-1745505309826":{"__typename":"CachedAsset","id":"text:en_US-components/nodes/NodeLink-1745505309826","value":{"place":"Place {name}"},"localOverride":false},"CachedAsset:text:en_US-components/messages/MessageView/MessageViewStandard-1745505309826":{"__typename":"CachedAsset","id":"text:en_US-components/messages/MessageView/MessageViewStandard-1745505309826","value":{"anonymous":"Anonymous","author":"{messageAuthorLogin}","authorBy":"{messageAuthorLogin}","board":"{messageBoardTitle}","replyToUser":" to {parentAuthor}","showMoreReplies":"Show More","replyText":"Reply","repliesText":"Replies","markedAsSolved":"Marked as Solved","movedMessagePlaceholder.BLOG":"{count, plural, =0 {This comment has been} other {These comments have been} }","movedMessagePlaceholder.TKB":"{count, plural, =0 {This comment has been} other {These comments have been} }","movedMessagePlaceholder.FORUM":"{count, plural, =0 {This reply has been} other {These replies have been} }","movedMessagePlaceholder.IDEA":"{count, plural, =0 {This comment has been} other {These comments have been} }","movedMessagePlaceholder.OCCASION":"{count, plural, =0 {This comment has been} other {These comments have been} }","movedMessagePlaceholderUrlText":"moved.","messageStatus":"Status: ","statusChanged":"Status changed: {previousStatus} to {currentStatus}","statusAdded":"Status added: {status}","statusRemoved":"Status removed: {status}","labelExpand":"expand replies","labelCollapse":"collapse replies","unhelpfulReason.reason1":"Content is outdated","unhelpfulReason.reason2":"Article is missing information","unhelpfulReason.reason3":"Content is for a different Product","unhelpfulReason.reason4":"Doesn't match what I was searching for"},"localOverride":false},"CachedAsset:text:en_US-components/messages/MessageDeepLink-1745505309826":{"__typename":"CachedAsset","id":"text:en_US-components/messages/MessageDeepLink-1745505309826","value":{"viewFullDiscussion@board:FORUM":"View Full Discussion ({repliesCount} Replies)","viewFullDiscussion@board:BLOG":"View Full Discussion ({repliesCount} Comments)","viewFullDiscussion@board:TKB":"View Full Discussion ({repliesCount} Comments)","viewFullDiscussion@board:IDEA":"View Full Discussion ({repliesCount} Comments)","viewFullDiscussion@board:OCCASION":"View Full Discussion ({repliesCount} Comments)","showParents@board:FORUM":"Show Parent Replies","showParents@board:BLOG":"Show Parent Comments","showParents@board:TKB":"Show Parent Comments","showParents@board:IDEA":"Show Parent Comments","showParents@board:OCCASION":"Show Parent Comments"},"localOverride":false},"CachedAsset:text:en_US-components/messages/MessageReplyCallToAction-1745505309826":{"__typename":"CachedAsset","id":"text:en_US-components/messages/MessageReplyCallToAction-1745505309826","value":{"leaveReply":"Leave a reply...","leaveReply@board:BLOG@message:root":"Leave a comment...","leaveReply@board:TKB@message:root":"Leave a comment...","leaveReply@board:IDEA@message:root":"Leave a comment...","leaveReply@board:OCCASION@message:root":"Leave a comment...","repliesTurnedOff.FORUM":"Replies are turned off for this topic","repliesTurnedOff.BLOG":"Comments are turned off for this topic","repliesTurnedOff.TKB":"Comments are turned off for this topic","repliesTurnedOff.IDEA":"Comments are turned off for this topic","repliesTurnedOff.OCCASION":"Comments are turned off for this topic","infoText":"Stop poking me!"},"localOverride":false},"QueryVariables:MessageSolutions":{"__typename":"QueryVariables","id":"MessageSolutions","value":{"first":10,"constraints":{"topicId":{"eq":"message:3782575"},"solution":{"eq":true}},"sorts":{"postTime":{"direction":"ASC"}},"useAvatar":true,"useAuthorLogin":true,"useAuthorRank":false,"useBody":true,"useKudosCount":false,"useTimeToRead":false,"useMedia":true,"useRepliesCount":false,"useSearchSnippet":false,"useAcceptedSolutionButton":true,"useSolvedBadge":false,"useAttachments":true,"useTags":false,"useUserHoverCard":false,"useNodeHoverCard":false,"usePreviewSubjectModal":false,"useMessageStatus":false}},"ROOT_MUTATION":{"__typename":"Mutation"},"CachedAsset:text:en_US-components/community/NavbarDropdownToggle-1745505309826":{"__typename":"CachedAsset","id":"text:en_US-components/community/NavbarDropdownToggle-1745505309826","value":{"ariaLabelClosed":"Press the down arrow to open the menu"},"localOverride":false},"CachedAsset:text:en_US-shared/client/components/common/QueryHandler-1745505309826":{"__typename":"CachedAsset","id":"text:en_US-shared/client/components/common/QueryHandler-1745505309826","value":{"title":"Query Handler"},"localOverride":false},"CachedAsset:text:en_US-components/messages/EscalatedMessageBanner-1745505309826":{"__typename":"CachedAsset","id":"text:en_US-components/messages/EscalatedMessageBanner-1745505309826","value":{"escalationMessage":"Escalated to Salesforce by {username} on {date}","viewDetails":"View Details","modalTitle":"Case Details","escalatedBy":"Escalated by: ","escalatedOn":"Escalated on: ","caseNumber":"Case Number: ","status":"Status: ","lastUpdateDate":"Last Update: ","automaticEscalation":"automatic escalation","anonymous":"Anonymous"},"localOverride":false},"CachedAsset:text:en_US-components/users/UserLink-1745505309826":{"__typename":"CachedAsset","id":"text:en_US-components/users/UserLink-1745505309826","value":{"authorName":"View Profile: {author}","anonymous":"Anonymous"},"localOverride":false},"CachedAsset:text:en_US-shared/client/components/users/UserRank-1745505309826":{"__typename":"CachedAsset","id":"text:en_US-shared/client/components/users/UserRank-1745505309826","value":{"rankName":"{rankName}","userRank":"Author rank {rankName}"},"localOverride":false},"CachedAsset:text:en_US-components/messages/MessageTime-1745505309826":{"__typename":"CachedAsset","id":"text:en_US-components/messages/MessageTime-1745505309826","value":{"postTime":"Published: {time}","lastPublishTime":"Last Update: {time}","conversation.lastPostingActivityTime":"Last posting activity time: {time}","conversation.lastPostTime":"Last post time: {time}","moderationData.rejectTime":"Rejected time: {time}"},"localOverride":false},"CachedAsset:text:en_US-components/messages/MessageSolvedBadge-1745505309826":{"__typename":"CachedAsset","id":"text:en_US-components/messages/MessageSolvedBadge-1745505309826","value":{"solved":"Solved"},"localOverride":false},"CachedAsset:text:en_US-components/messages/MessageSubject-1745505309826":{"__typename":"CachedAsset","id":"text:en_US-components/messages/MessageSubject-1745505309826","value":{"noSubject":"(no subject)"},"localOverride":false},"CachedAsset:text:en_US-components/messages/MessageBody-1745505309826":{"__typename":"CachedAsset","id":"text:en_US-components/messages/MessageBody-1745505309826","value":{"showMessageBody":"Show More","mentionsErrorTitle":"{mentionsType, select, board {Board} user {User} message {Message} other {}} No Longer Available","mentionsErrorMessage":"The {mentionsType} you are trying to view has been removed from the community.","videoProcessing":"Video is being processed. Please try again in a few minutes.","bannerTitle":"Video provider requires cookies to play the video. Accept to continue or {url} it directly on the provider's site.","buttonTitle":"Accept","urlText":"watch"},"localOverride":false},"CachedAsset:text:en_US-components/messages/MessageCustomFields-1745505309826":{"__typename":"CachedAsset","id":"text:en_US-components/messages/MessageCustomFields-1745505309826","value":{"CustomField.default.label":"Value of {name}"},"localOverride":false},"CachedAsset:text:en_US-components/messages/MessageReplyButton-1745505309826":{"__typename":"CachedAsset","id":"text:en_US-components/messages/MessageReplyButton-1745505309826","value":{"repliesCount":"{count}","title":"Reply","title@board:BLOG@message:root":"Comment","title@board:TKB@message:root":"Comment","title@board:IDEA@message:root":"Comment","title@board:OCCASION@message:root":"Comment"},"localOverride":false},"CachedAsset:text:en_US-components/messages/MessageSolutionList-1745505309826":{"__typename":"CachedAsset","id":"text:en_US-components/messages/MessageSolutionList-1745505309826","value":{"emptyDescription":"No has been message solutions yet"},"localOverride":false},"User:user:1535530":{"__typename":"User","id":"user:1535530","uid":1535530,"login":"JosWoolley","biography":null,"registrationData":{"__typename":"RegistrationData","status":null,"registrationTime":"2022-09-24T02:43:42.201-07:00"},"deleted":false,"email":"","avatar":{"__typename":"UserAvatar","url":"https://techcommunity.microsoft.com/t5/s/gxcuf89792/m_assets/avatars/default/avatar-7.svg?time=0"},"entityType":"USER","eventPath":"community:gxcuf89792/user:1535530"},"ForumReplyMessage:message:3783462":{"__typename":"ForumReplyMessage","uid":3783462,"id":"message:3783462","revisionNum":1,"author":{"__ref":"User:user:428790"},"readOnly":false},"ModerationData:moderation_data:3783522":{"__typename":"ModerationData","id":"moderation_data:3783522","status":"APPROVED","rejectReason":null},"AcceptedSolutionMessage:message:3783522":{"__typename":"AcceptedSolutionMessage","author":{"__ref":"User:user:1535530"},"id":"message:3783522","revisionNum":3,"uid":3783522,"depth":3,"hasGivenKudo":false,"subscribed":false,"board":{"__ref":"Forum:board:ExcelGeneral"},"parent":{"__ref":"ForumReplyMessage:message:3783462"},"conversation":{"__ref":"Conversation:conversation:3782575"},"subject":"Re: Solving an 0 1 Knapsack Problem with LAMBDA","moderationData":{"__ref":"ModerationData:moderation_data:3783522"},"body":"

Patrick2788 

 

I think I'd prefer to avoid any recursion or LAMBDAs and resort to some good old-fashioned matrix multiplication!

 

=LET(\n    α,benefit,\n    β,weight,\n    γ,COUNT(α),\n    δ,MOD(INT(SEQUENCE(2^γ,,0)/2^SEQUENCE(,γ,0)),2),\n    ε,MMULT(δ,TOCOL(α)),\n    ζ,MMULT(δ,TOCOL(β)),\n    η,ζ<=cap,\n    TEXTJOIN(\",\",,\n        FILTER(item,INDEX(δ,MATCH(MAX(FILTER(ε,η)),IF(η,ε),0)),0)\n    )\n)

 

No doubt this could be refined, though the basic outline is there.

","body@stripHtml({\"removeProcessingText\":true,\"removeSpoilerMarkup\":true,\"removeTocMarkup\":true,\"truncateLength\":200})@stringLength":"218","postTime":"2023-03-30T08:55:39.500-07:00","lastPublishTime":"2023-03-30T08:58:47.857-07:00","images":{"__typename":"AssociatedImageConnection","edges":[],"totalCount":0,"pageInfo":{"__typename":"PageInfo","hasNextPage":false,"endCursor":null,"hasPreviousPage":false,"startCursor":null}},"attachments":{"__typename":"AttachmentConnection","pageInfo":{"__typename":"PageInfo","hasNextPage":false,"endCursor":null,"hasPreviousPage":false,"startCursor":null},"edges":[]},"solution":true,"metrics":{"__typename":"MessageMetrics","views":7165},"placeholder":false,"originalMessageForPlaceholder":null,"videos":{"__typename":"VideoConnection","edges":[],"totalCount":0,"pageInfo":{"__typename":"PageInfo","hasNextPage":false,"endCursor":null,"hasPreviousPage":false,"startCursor":null}},"isEscalated":null,"entityType":"FORUM_REPLY","eventPath":"category:microsoft365/category:products-services/category:communities/community:gxcuf89792board:ExcelGeneral/message:3782575/message:3783522","customFields":[]},"ModerationData:moderation_data:3784671":{"__typename":"ModerationData","id":"moderation_data:3784671","status":"APPROVED","rejectReason":null,"isReportedAbuse":false,"rejectUser":null,"rejectTime":null,"rejectActorType":null},"ModerationData:moderation_data:3784518":{"__typename":"ModerationData","id":"moderation_data:3784518","status":"APPROVED","rejectReason":null},"User:user:276955":{"__typename":"User","id":"user:276955","login":"davidleal","uid":276955,"deleted":false,"avatar":{"__typename":"UserAvatar","url":"https://techcommunity.microsoft.com/t5/s/gxcuf89792/m_assets/avatars/default/avatar-4.svg?time=0"},"rank":{"__ref":"Rank:rank:35"},"email":"","messagesCount":73,"biography":null,"topicsCount":9,"kudosReceivedCount":19,"kudosGivenCount":78,"kudosWeight":1,"registrationData":{"__typename":"RegistrationData","status":null,"registrationTime":"2019-02-01T19:28:47.804-08:00","confirmEmailStatus":null},"followersCount":null,"solutionsCount":1},"Rank:rank:35":{"__typename":"Rank","id":"rank:35","position":16,"name":"Iron Contributor","color":"333333","icon":null,"rankStyle":"TEXT"},"ModerationData:moderation_data:3784473":{"__typename":"ModerationData","id":"moderation_data:3784473","status":"APPROVED","rejectReason":null},"ForumReplyMessage:message:3784473":{"__typename":"ForumReplyMessage","id":"message:3784473","revisionNum":2,"uid":3784473,"depth":1,"hasGivenKudo":false,"subscribed":false,"board":{"__ref":"Forum:board:ExcelGeneral"},"conversation":{"__ref":"Conversation:conversation:3782575"},"subject":"Re: Solving an 0 1 Knapsack Problem with LAMBDA","readOnly":false,"editFrozen":false,"moderationData":{"__ref":"ModerationData:moderation_data:3784473"},"body":"

Patrick2788 

JosWoolley 's method of generating the combination matrix is fascinating for how efficient of a solution it is for a complex problem. From what I gather, it's based somewhat in binary (putting the 0 1 in 0 1 Knapsack!).

 

This produces the combination matrix before MMULT gets to it:

 

=MOD(INT(SEQUENCE(2^5,,0)/2^SEQUENCE(,5,0)),2)

 

 

I did some playing around with engineering functions.

 

Formula in K:

 

=BIN2DEC(I2)

 

Formula in N:

 

=DEC2BIN(K2,5)

 

 

 

 

 

 

 

","body@stringLength":"1760","rawBody":"

 

 's method of generating the combination matrix is fascinating for how efficient of a solution it is for a complex problem. From what I gather, it's based somewhat in binary (putting the 0 1 in 0 1 Knapsack!).

 

This produces the combination matrix before MMULT gets to it:

 

=MOD(INT(SEQUENCE(2^5,,0)/2^SEQUENCE(,5,0)),2)

 

 

I did some playing around with engineering functions.

 

Formula in K:

 

=BIN2DEC(I2)

 

Formula in N:

 

=DEC2BIN(K2,5)

 

 

 

 

 

 

 

","author":{"__ref":"User:user:428790"},"isEscalated":null,"postTime":"2023-03-31T06:37:50.028-07:00","parent":{"__ref":"ForumTopicMessage:message:3782575"}},"ForumReplyMessage:message:3784518":{"__typename":"ForumReplyMessage","id":"message:3784518","revisionNum":5,"uid":3784518,"depth":2,"hasGivenKudo":false,"subscribed":false,"board":{"__ref":"Forum:board:ExcelGeneral"},"conversation":{"__ref":"Conversation:conversation:3782575"},"subject":"Re: Solving an 0 1 Knapsack Problem with LAMBDA","readOnly":false,"editFrozen":false,"moderationData":{"__ref":"ModerationData:moderation_data:3784518"},"body":"

This is an interesting approach, but you have a limitation with binary numbers, the maximum number of digits is 10. Other than that it is great for generating the sequence and then splitting it:

 

=MID(DEC2BIN(SEQUENCE(2^5-1),5),SEQUENCE(,5),1)

 

 

","body@stringLength":"356","rawBody":"

This is an interesting approach, but you have a limitation with binary numbers, the maximum number of digits is 10. Other than that it is great for generating the sequence and then splitting it:

 

=MID(DEC2BIN(SEQUENCE(2^5-1),5),SEQUENCE(,5),1)

 

 

","author":{"__ref":"User:user:276955"},"isEscalated":null,"postTime":"2023-03-31T07:47:39.713-07:00","parent":{"__ref":"ForumReplyMessage:message:3784473"},"customFields":[],"attachments":{"__typename":"AttachmentConnection","edges":[],"pageInfo":{"__typename":"PageInfo","hasNextPage":false,"endCursor":null,"hasPreviousPage":false,"startCursor":null}},"repliesCount":1},"AssociatedImage:{\"url\":\"https://techcommunity.microsoft.com/t5/s/gxcuf89792/images/bS0zNzg0NjcxLTQ1NjQxOGkyOTg3NTNFMTE2NUE4Qzc2?revision=1\"}":{"__typename":"AssociatedImage","url":"https://techcommunity.microsoft.com/t5/s/gxcuf89792/images/bS0zNzg0NjcxLTQ1NjQxOGkyOTg3NTNFMTE2NUE4Qzc2?revision=1","title":"Patrick2788_0-1680281901932.png","associationType":"BODY","width":699,"height":573,"altText":null},"Attachment:{\"id\":\"attachment:message3784671AttachmentNumber1\",\"url\":\"https://techcommunity.microsoft.com/t5/s/gxcuf89792/attachments/gxcuf89792/ExcelGeneral/187000/1/Solving%20an%200%201%20Knapsack%20Problem%20with%20LAMBDA%202.xlsx\"}":{"__typename":"Attachment","id":"attachment:message3784671AttachmentNumber1","filename":"Solving an 0 1 Knapsack Problem with LAMBDA 2.xlsx","filesize":186470,"contentType":"application/vnd.openxmlformats-officedocument.spreadsheetml.sheet","url":"https://techcommunity.microsoft.com/t5/s/gxcuf89792/attachments/gxcuf89792/ExcelGeneral/187000/1/Solving%20an%200%201%20Knapsack%20Problem%20with%20LAMBDA%202.xlsx"},"Revision:revision:3784671_1":{"__typename":"Revision","id":"revision:3784671_1","lastEditTime":"2023-03-31T09:59:18.147-07:00"},"QueryVariables:ReplyList:message:3784671:1":{"__typename":"QueryVariables","id":"ReplyList:message:3784671:1","value":{"id":"message:3784671","first":10,"sorts":{"postTime":{"direction":"DESC"}},"repliesFirst":3,"repliesFirstDepthThree":1,"repliesSorts":{"postTime":{"direction":"DESC"}},"useAvatar":true,"useAuthorLogin":true,"useAuthorRank":true,"useBody":true,"useKudosCount":true,"useTimeToRead":false,"useMedia":false,"useReadOnlyIcon":false,"useRepliesCount":true,"useSearchSnippet":false,"useAcceptedSolutionButton":true,"useSolvedBadge":false,"useAttachments":false,"attachmentsFirst":5,"useTags":false,"useNodeAncestors":false,"useUserHoverCard":false,"useNodeHoverCard":false,"useModerationStatus":true,"usePreviewSubjectModal":false,"useMessageStatus":true}},"CachedAsset:text:en_US-shared/client/components/users/UserAvatar-1745505309826":{"__typename":"CachedAsset","id":"text:en_US-shared/client/components/users/UserAvatar-1745505309826","value":{"altText":"{login}'s avatar","altTextGeneric":"User's avatar"},"localOverride":false},"CachedAsset:text:en_US-shared/client/components/ranks/UserRankLabel-1745505309826":{"__typename":"CachedAsset","id":"text:en_US-shared/client/components/ranks/UserRankLabel-1745505309826","value":{"altTitle":"Icon for {rankName} rank"},"localOverride":false},"CachedAsset:text:en_US-components/attachments/AttachmentView/AttachmentViewChip-1745505309826":{"__typename":"CachedAsset","id":"text:en_US-components/attachments/AttachmentView/AttachmentViewChip-1745505309826","value":{"errorTitle":"Failed!","previewFile":"Preview File","downloadFile":"Download File {name}","removeFile":"Remove File {name}","errorBadExtension":"This file does not have a valid extension. \"{extensions}\" are the valid extensions.","errorFileEmpty":"This file is empty or does not exist.","errorTooLarge":"The maximum file size is: {maxFileSize}.","errorTooMany":"Too many attachments. The maximum number of attachments per message is: {maxAttachmentCount, number, integer}.","errorDuplicate":"This file is already attached."},"localOverride":false},"CachedAsset:text:en_US-components/messages/AcceptedSolutionButton-1745505309826":{"__typename":"CachedAsset","id":"text:en_US-components/messages/AcceptedSolutionButton-1745505309826","value":{"accept":"Mark as Solution","accepted":"Marked as Solution","errorHeader":"Error!","errorAdd":"There was an error marking as solution.","errorRemove":"There was an error unmarking as solution.","solved":"Solved"},"localOverride":false},"CachedAsset:text:en_US-components/messages/ThreadedReplyList-1745505309826":{"__typename":"CachedAsset","id":"text:en_US-components/messages/ThreadedReplyList-1745505309826","value":{"title":"{count, plural, one{# Reply} other{# Replies}}","title@board:BLOG":"{count, plural, one{# Comment} other{# Comments}}","title@board:TKB":"{count, plural, one{# Comment} other{# Comments}}","title@board:IDEA":"{count, plural, one{# Comment} other{# Comments}}","title@board:OCCASION":"{count, plural, one{# Comment} other{# Comments}}","noRepliesTitle":"No Replies","noRepliesTitle@board:BLOG":"No Comments","noRepliesTitle@board:TKB":"No Comments","noRepliesTitle@board:IDEA":"No Comments","noRepliesTitle@board:OCCASION":"No Comments","noRepliesDescription":"Be the first to reply","noRepliesDescription@board:BLOG":"Be the first to comment","noRepliesDescription@board:TKB":"Be the first to comment","noRepliesDescription@board:IDEA":"Be the first to comment","noRepliesDescription@board:OCCASION":"Be the first to comment","messageReadOnlyAlert:BLOG":"Comments have been turned off for this post","messageReadOnlyAlert:TKB":"Comments have been turned off for this article","messageReadOnlyAlert:IDEA":"Comments have been turned off for this idea","messageReadOnlyAlert:FORUM":"Replies have been turned off for this discussion","messageReadOnlyAlert:OCCASION":"Comments have been turned off for this event"},"localOverride":false},"CachedAsset:text:en_US-components/tags/TagView/TagViewChip-1745505309826":{"__typename":"CachedAsset","id":"text:en_US-components/tags/TagView/TagViewChip-1745505309826","value":{"tagLabelName":"Tag name {tagName}"},"localOverride":false}}}},"page":"/forums/ForumMessagePage/ForumMessagePage","query":{"boardId":"excelgeneral","messageSubject":"solving-an-0-1-knapsack-problem-with-lambda","messageId":"3782575","replyId":"3784671"},"buildId":"HEhyUrv5OXNBIbfCLaOrw","runtimeConfig":{"buildInformationVisible":false,"logLevelApp":"info","logLevelMetrics":"info","openTelemetryClientEnabled":false,"openTelemetryConfigName":"o365","openTelemetryServiceVersion":"25.1.0","openTelemetryUniverse":"prod","openTelemetryCollector":"http://localhost:4318","openTelemetryRouteChangeAllowedTime":"5000","apolloDevToolsEnabled":false,"inboxMuteWipFeatureEnabled":false},"isFallback":false,"isExperimentalCompile":false,"dynamicIds":["./components/seo/QAPageSchema/QAPageSchema.tsx","./components/community/Navbar/NavbarWidget.tsx","./components/community/Breadcrumb/BreadcrumbWidget.tsx","./components/customComponent/CustomComponent/CustomComponent.tsx","./components/messages/TopicWithThreadedReplyListWidget/TopicWithThreadedReplyListWidget.tsx","./components/external/components/ExternalComponent.tsx","./components/messages/MessageView/MessageViewStandard/MessageViewStandard.tsx","../shared/client/components/common/List/UnwrappedList/UnwrappedList.tsx","./components/attachments/AttachmentView/AttachmentView.tsx","./components/attachments/AttachmentView/AttachmentViewChip/AttachmentViewChip.tsx","../shared/client/components/common/List/UnstyledList/UnstyledList.tsx","./components/messages/MessageView/MessageView.tsx","./components/tags/TagView/TagView.tsx","./components/tags/TagView/TagViewChip/TagViewChip.tsx"],"appGip":true,"scriptLoader":[{"id":"analytics","src":"https://techcommunity.microsoft.com/t5/s/gxcuf89792/pagescripts/1730819800000/analytics.js?page.id=ForumReplyPage&entity.id=board%3Aexcelgeneral&entity.id=message%3A3784671","strategy":"afterInteractive"}]}