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This gives me a nice palette of neutral tones for the background, the blue primary, and amber for emphasis.\n\nNow I need to update the globals.css file to define these custom color tokens and make them available throughout the design system, so I can reference them easily in both the CSS classes and SVG elements."}]}}],["p",{},["text",{},"Now let me set up the color theme with a blue primary and highlight accents for the paths."]],["AssistantMessageContentPart",{"part":{"type":"task-coding-v1","id":"block-b_dv6Y2Cr6mUY","parts":[{"type":"code-project","isVersioned":false,"isSourceless":false,"changedFiles":[{"fileName":"/app/globals.css","baseName":"globals.css","isActive":false,"isTerminated":false,"isDeleted":false,"isMoved":false}],"source":"[V0_FILE]css:file=\"/app/globals.css\" 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component:"]],["AssistantMessageContentPart",{"part":{"type":"task-coding-v1","id":"block-b_f12vF1IDFp7","parts":[{"type":"code-project","isVersioned":false,"isSourceless":false,"changedFiles":[{"fileName":"/components/graph-canvas.tsx","baseName":"graph-canvas.tsx","isActive":false,"isTerminated":false,"isDeleted":false,"isMoved":false}],"source":"[V0_FILE]tsx:file=\"/components/graph-canvas.tsx\" \nGENERATING","latestDeploymentInfo":"$10f:6:1","lastDeployedAt":"2026-07-01T03:53:41.235Z","sourceVersionKey":"v_1_kwdfp_s3","needsBlockSource":true,"isAllImages":false,"blockId":"b_f12vF1IDFp7","meta":{"taskNameActive":"Writing graph canvas","taskNameComplete":"Wrote graph canvas","type":"code-project","id":"Code"},"closed":true,"lang":"typescriptreact"}],"createdAt":0,"finishedAt":1,"lastPartSentAt":1,"taskNameActive":"Writing graph canvas","taskNameComplete":"Wrote graph 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and update metadata:"]],["AssistantMessageContentPart",{"part":{"type":"task-coding-v1","id":"block-b_MZTL6UTXIWA","parts":[{"type":"code-project","isVersioned":false,"isSourceless":false,"changedFiles":[],"source":"[V0_FILE]tsx:file=\"/app/page.tsx\" \n...","latestDeploymentInfo":"$10f:8:1","lastDeployedAt":"2026-07-01T03:53:41.235Z","sourceVersionKey":"v_1_vucx4_s3","needsBlockSource":true,"isAllImages":false,"blockId":"b_MZTL6UTXIWA","meta":{"taskNameActive":"Making changes","taskNameComplete":"Made some changes","type":"code-project","id":"Code"},"closed":true,"lang":"typescriptreact"}],"createdAt":0,"finishedAt":1,"lastPartSentAt":1,"taskNameActive":"Making changes","taskNameComplete":"Made some 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metadata","type":"code-project","id":"Code"},"closed":true,"lang":"typescriptreact"}],"createdAt":0,"finishedAt":1,"lastPartSentAt":1,"taskNameActive":"Updating metadata","taskNameComplete":"Updated metadata"},"id":"block-b_Jkrl4shHUUX"}],["p",{},["text",{},"Also add the html background class. Let me update layout's html element:"]],["AssistantMessageContentPart",{"part":{"type":"task-coding-v1","id":"block-b_8effVxPNv1m","parts":[{"type":"code-project","isVersioned":true,"isSourceless":false,"changedFiles":[{"fileName":"/lib/graph.ts","baseName":"graph.ts","isActive":false,"isTerminated":false,"isDeleted":false,"isMoved":false},{"fileName":"/lib/presets.ts","baseName":"presets.ts","isActive":false,"isTerminated":false,"isDeleted":false,"isMoved":false},{"fileName":"/app/globals.css","baseName":"globals.css","isActive":false,"isTerminated":false,"isDeleted":false,"isMoved":false},{"fileName":"/components/graph-canvas.tsx","baseName":"graph-canvas.tsx","isActive":false,"isTerminated":false,"isDeleted":false,"isMoved":false},{"fileName":"/components/graph-explorer.tsx","baseName":"graph-explorer.tsx","isActive":false,"isTerminated":false,"isDeleted":false,"isMoved":false},{"fileName":"/app/page.tsx","baseName":"page.tsx","isActive":false,"isTerminated":false,"isDeleted":false,"isMoved":false},{"fileName":"/app/layout.tsx","baseName":"layout.tsx","isActive":false,"isTerminated":false,"isDeleted":false,"isMoved":false}],"source":"[V0_FILE]typescriptreact:file=\"/app/layout.tsx\"\nGENERATING","latestDeploymentInfo":"$10f:11:1","lastDeployedAt":"2026-07-01T03:53:41.235Z","sourceVersionKey":"v_1_r0qvu_s3","needsBlockSource":false,"isAllImages":false,"blockId":"b_8effVxPNv1m","meta":{"taskNameActive":"Adding bg class to html","taskNameComplete":"Added bg class to html","type":"code-project","id":"Code"},"closed":true,"lang":"typescriptreact"}],"createdAt":0,"finishedAt":1,"lastPartSentAt":1,"taskNameActive":"Adding bg class to html","taskNameComplete":"Added bg class to html"},"id":"block-b_8effVxPNv1m"}],["p",{},["text",{},"Now let me verify it compiles and check the dev server, then verify in the browser."]],["AssistantMessageContentPart",{"part":{"createdAt":1782877971410,"finishedAt":1782877972383,"lastPartSentAt":1782877972329,"taskNameActive":"Checking debug logs","taskNameComplete":"Checked debug logs","toolCallId":"toolu_01JJ9ZNbgpqiJSVpabRvVKbz","agentTurnId":"turn_AVgugmoCoW9gXw71","filePath":null,"id":"OZOsZRborsKKCnVt","type":"task-read-file-v1","parts":[{"type":"reading-file","filePath":"user_read_only_context/v0_debug_logs.log"}]}}],["p",{},["text",{},"Compiling cleanly (the hydration warning is just a browser extension, harmless). Let me verify in the browser."]],["AssistantMessageContentPart",{"part":{"createdAt":1782877975694,"finishedAt":1782877976209,"lastPartSentAt":1782877976166,"taskNameActive":"Loading browser skill","taskNameComplete":"Loaded browser skill","toolCallId":"toolu_01YUKU9JmKMMaJSEPwmV7dm9","agentTurnId":"turn_blrkNTcezF8lwGDI","filePath":null,"id":"Ok9XPjHmk0UISMZy","type":"task-skill-v1","parts":[{"type":"executing-skill","skillName":"agent-browser"},{"type":"skill-result","skillName":"agent-browser","fileCount":1}]}}],["AssistantMessageContentPart",{"part":{"createdAt":1782877979484,"finishedAt":1782877984589,"lastPartSentAt":1782877984334,"taskNameActive":"Opening preview","taskNameComplete":"Opened preview","toolCallId":"toolu_01MBT9KCBKqYdydf8dVSATz5","agentTurnId":"turn_cF9DJP1795iZSplv","filePath":null,"id":"NXeLllv2pExFOlH6","type":"task-subtask-v1","parts":[{"type":"subtask-started","data":{"subtaskType":"bash","command":"agent-browser open \"http://localhost:${DEV_PORT:-3000}\" && agent-browser screenshot euler1.png"}},{"type":"subtask-log","data":{"logType":"created-terminal"},"id":"8JV3XM8xK6kuVnTF"},{"type":"subtask-log","data":{"logType":"poll-terminal-output","delta":"✓ Euler & Hamilton Path Explorer\n http://localhost:3000/\n"},"id":"OIKX6G19BxQLrDdb"},{"type":"subtask-log","data":{"logType":"poll-terminal-output","delta":"✓ Screenshot saved to euler1.png\n\n[agent-browser] launched browser\n"},"id":"zpcjVcOFiuWbbJMl"},{"type":"agent-browser-screenshot","id":"Ejd5Zw8Dv0IpCi6p","screenshotUrl":"https://uploads.vusercontent.net/a/eyJhbGciOiJkaXIiLCJlbmMiOiJBMjU2R0NNIn0..zT1aoVWzpqLv-mCW.7hCCzv8qIljVC4liKOZBRbsUxPnqRhSI9-4EV2TBHlMEG7ZyIGswB2G_FSOOL-xW7cmOKc39tW-6G7FhIcLG9WJb7t5qHxRfMgll1koNRk5OMfsDItpMgt62e5U3eSIlDrad9zlEZLf9mLR00iwt-RhL1AHxEKROHZPMRMDtZps-Ckab58jiA1VnVgvBOhDbgSSYevfQzVdXGw.Zy9oGGQscHW2tU66Vl8gkQ","path":"/vercel/share/v0-project/euler1.png","browserUrl":null,"pageTitle":null,"width":1280,"height":577}]}}],["p",{},["text",{},"Looks great. Let me test the Play animation and the Hamilton switch to confirm interactivity works."]],["AssistantMessageContentPart",{"part":{"createdAt":1782877988742,"finishedAt":1782877990570,"lastPartSentAt":1782877990036,"taskNameActive":"Testing animation","taskNameComplete":"Tested animation","toolCallId":"toolu_01EjGKQrLyTDNMxUhXvVdtvy","agentTurnId":"turn_bqUKE2eLYnkUxDei","filePath":null,"id":"6uS8QYYJ4V4iCfg3","type":"task-subtask-v1","parts":[{"type":"subtask-started","data":{"subtaskType":"bash","command":"agent-browser click \"text=Play\" && sleep 2 && agent-browser screenshot euler-anim.png"}},{"type":"subtask-log","data":{"logType":"created-terminal"},"id":"qOjAxoY7JYTVKSra"},{"type":"subtask-log","data":{"logType":"poll-terminal-output","delta":"\n✗ Element not found. Verify the selector is correct and the element exists in the DOM.\n"},"id":"EW0pb0ARvRmTbu8V"}]}}],["AssistantMessageContentPart",{"part":{"createdAt":1782877993746,"finishedAt":1782877997493,"lastPartSentAt":1782877997392,"taskNameActive":"Playing animation","taskNameComplete":"Played animation","toolCallId":"toolu_01WeAJ6gSZ1nQzTja25SuJmh","agentTurnId":"turn_3js4JUkbMHi7WUHp","filePath":null,"id":"HZ0RwrGjOID5vbX0","type":"task-subtask-v1","parts":[{"type":"subtask-started","data":{"subtaskType":"bash","command":"agent-browser find role button click --name \"Play\" && sleep 2 && agent-browser screenshot euler-anim.png"}},{"type":"subtask-log","data":{"logType":"created-terminal"},"id":"OyDeXDMdBYNzgmc0"},{"type":"subtask-log","data":{"logType":"poll-terminal-output","delta":"✓ Done\n"},"id":"APJbYJNxS5UxEkao"},{"type":"subtask-log","data":{"logType":"poll-terminal-output","delta":"✓ Screenshot saved to euler-anim.png\n"},"id":"f6AZ7zoSw0fqGTuo"},{"type":"agent-browser-screenshot","id":"KxKeIHklDJWekVJX","screenshotUrl":"https://uploads.vusercontent.net/a/eyJhbGciOiJkaXIiLCJlbmMiOiJBMjU2R0NNIn0..7cUiW-dNAd7MUV4h.pxy-ozk6A0JzK2dO1AKuRgWUqyNOrJJNjFYpnsPSfzCuiHB598yrfXDoVMWw9HyMPQME8iXcTjn7F7xSoJkfHoVBnag2lraggxdRmrfvGJnECL6KpZ-gD-cHpaxxVaB8oB0yDLSuM2oPne_ReZEE_deWGEvBQrEqgQ2N5Hj5LcMJLXYAvfCmCJf3WXTwVG3XoE7CpkdSHu2N5Q.PizOSRh5Ngv1idRbYMlOfQ","path":"/vercel/share/v0-project/euler-anim.png","browserUrl":null,"pageTitle":null,"width":1280,"height":577}]}}],["AssistantMessageContentPart",{"part":{"createdAt":1782878002370,"finishedAt":1782878003784,"lastPartSentAt":1782878003784,"taskNameActive":null,"id":"5BCEdUR7iHi4mF4v","type":"task-thinking-v1","parts":[{"type":"thinking-end","duration":1,"thought":"The animation is working correctly—the trail highlights step by step showing we're at position 3 of 8, and the vertex labels are displaying the sequence numbers properly. The edges are lighting up in blue as expected. Let me quickly verify the Hamilton cycle switch and test one of the presets to make sure everything's functioning well."}]}}],["p",{},["text",{},"The Euler animation works — edges highlight blue in sequence and vertices show their traversal order (3/8 steps). Let me confirm the Hamilton mode and the Königsberg preset."]],["AssistantMessageContentPart",{"part":{"createdAt":1782878003916,"finishedAt":1782878007290,"lastPartSentAt":1782878007187,"taskNameActive":"Testing Hamilton and preset","taskNameComplete":"Tested Hamilton and preset","toolCallId":"toolu_01EHhkV3LEvy8NYj4LF2mmJz","agentTurnId":"turn_0nXNNmjVDM1FEYEO","filePath":null,"id":"YouinKW89oPdIjfC","type":"task-subtask-v1","parts":[{"type":"subtask-started","data":{"subtaskType":"bash","command":"agent-browser find role button click --name \"Hamilton\" && agent-browser find role button click --name \"Königsberg Bridges\" && sleep 1 && agent-browser screenshot hamilton.png"}},{"type":"subtask-log","data":{"logType":"created-terminal"},"id":"c42CsjHbxVHLtenW"},{"type":"subtask-log","data":{"logType":"poll-terminal-output","delta":"✓ Done\n✓ Done\n"},"id":"3ROWggpSC4lfMFWI"},{"type":"subtask-log","data":{"logType":"poll-terminal-output","delta":"✓ Screenshot saved to hamilton.png\n"},"id":"g36BoOAmgNGCRoDf"},{"type":"agent-browser-screenshot","id":"0bsG6db15aXC6K7A","screenshotUrl":"https://uploads.vusercontent.net/a/eyJhbGciOiJkaXIiLCJlbmMiOiJBMjU2R0NNIn0..eZovAGGte_22jgM0.06PAh8zUZ1NR55er16OTa6c7hUV-27sUp5YMCZ5k69KdydI7wZmVg1BIwcufEtBXTstUXyABN_SoQE-R_-UQWl5MjC0FGaf7tJk1ulEQlVuVe5cDY0ETPrZNgXfmF6H9zQwdzkGDaWZPMuFLCIX16eB3-TPqBVtt2kifdDmQwkRFcttzcC6RyBoJm4BfP7_EL9e_HCUkvuAcHw.Hvis8J6H555HNYbbEV-ZiA","path":"/vercel/share/v0-project/hamilton.png","browserUrl":null,"pageTitle":null,"width":1280,"height":577}]}}],["AssistantMessageContentPart",{"part":{"createdAt":1782878011084,"finishedAt":1782878011743,"lastPartSentAt":1782878011743,"taskNameActive":null,"id":"41bKg9nwGBQjQDWq","type":"task-thinking-v1","parts":[{"type":"thinking-end","duration":1,"thought":"The Königsberg preset is displaying correctly with all four vertices marked in red showing their odd degrees of 5, 3, 3, and 3, and the parallel edges are rendering with nice curves between them."}]}}],["p",{},["text",{},"Everything works correctly. The Königsberg Bridges preset correctly shows all four vertices with odd degree (5, 3, 3, 3) highlighted in red, with parallel bridges bowed apart for clarity, and the analysis correctly reports no Euler trail exists."]],["p",{},["text",{},"I built an interactive "],["strong",{},["text",{},"Euler & Hamilton Path Explorer"]],["text",{}," as a Next.js app:"]],["ul",{"start":1},["li",{"index":1},["strong",{},["code",{},"lib/graph.ts"]],["text",{}," — the core algorithms: degree calculation, connectivity checks, Hierholzer's algorithm for extracting Euler trails/circuits, and backtracking search for Hamiltonian paths/circuits."]],["li",{"index":2},["strong",{},["code",{},"lib/presets.ts"]],["text",{}," — five example graphs (Königsberg Bridges, Euler Path, Euler Circuit, Hamilton Circuit, Grid Graph)."]],["li",{"index":3},["strong",{},["code",{},"components/graph-canvas.tsx"]],["text",{}," — an SVG canvas where you can add vertices, connect edges (with parallel-edge bowing for multigraphs), drag nodes, and delete, plus animated path highlighting."]],["li",{"index":4},["strong",{},["code",{},"components/graph-explorer.tsx"]],["text",{}," — the full UI with mode toolbar, Euler/Hamilton toggle, a result card explaining "],["em",{},["text",{},"why"]],["text",{}," a traversal does or doesn't exist, step-through/play animation, and a live vertex-degree table."]]],["p",{},["text",{},"You can build your own graph or load a preset, switch between Euler and Hamilton analysis, and watch the traversal play out step by step. 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