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<!DOCTYPE html>
<html lang="ko">
<head>
<meta charset="UTF-8">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<title>Ch.4 그래프 알고리즘 | CS Visualizer</title>
<link href="https://fonts.googleapis.com/css2?family=JetBrains+Mono:wght@300;400;500;600;700&family=Noto+Sans+KR:wght@300;400;500;700&display=swap" rel="stylesheet">
<link rel="stylesheet" href="style.css">
<style>
/* ── page nav ── */
.page-nav{position:sticky;top:0;z-index:100;background:rgba(10,10,15,0.92);backdrop-filter:blur(12px);border-bottom:1px solid var(--border);display:flex;align-items:center;gap:20px;padding:12px 28px;flex-wrap:wrap;}
.nav-back{font-family:'JetBrains Mono',monospace;font-size:0.8rem;color:var(--text-dim);text-decoration:none;transition:color 0.2s;}
.nav-back:hover{color:var(--accent);}
.nav-chapter-title{font-family:'JetBrains Mono',monospace;font-size:0.85rem;font-weight:600;}
.nav-sections{display:flex;gap:4px;flex-wrap:wrap;margin-left:auto;}
.nav-sec-link{font-family:'JetBrains Mono',monospace;font-size:0.75rem;color:var(--text-dim);text-decoration:none;padding:4px 10px;border-radius:6px;transition:all 0.2s;}
.nav-sec-link:hover{color:var(--accent2);background:rgba(255,107,157,0.08);}
/* ── graph canvas area ── */
.canvas-wrap{position:relative;background:var(--surface2);border-radius:8px;overflow:hidden;border:1px solid var(--border);}
.canvas-wrap canvas{display:block;}
/* ── adjacency list ── */
.adj-list{display:grid;grid-template-columns:repeat(auto-fill,minmax(160px,1fr));gap:10px;margin-top:16px;}
.adj-node{background:var(--surface2);border:1px solid var(--border);border-radius:8px;padding:10px 14px;}
.adj-node-label{font-family:'JetBrains Mono',monospace;font-size:0.82rem;font-weight:700;color:var(--accent2);margin-bottom:6px;}
.adj-edges{font-family:'JetBrains Mono',monospace;font-size:0.75rem;color:var(--text-dim);line-height:1.8;}
.adj-edge-item{color:var(--text);}
/* ── traversal log ── */
.tlog{display:flex;flex-wrap:wrap;gap:6px;min-height:38px;padding:8px;background:var(--surface2);border-radius:8px;border:1px solid var(--border);align-items:center;}
.tlog-label{font-family:'JetBrains Mono',monospace;font-size:0.72rem;color:var(--text-dim);margin-right:6px;}
.tlog-node{font-family:'JetBrains Mono',monospace;font-size:0.78rem;padding:3px 10px;border-radius:100px;background:rgba(0,255,170,0.12);border:1px solid rgba(0,255,170,0.3);color:var(--accent);animation:fadeIn 0.2s;}
/* ── stack / queue display ── */
.struct-display{display:flex;gap:12px;margin-top:12px;flex-wrap:wrap;}
.struct-box{background:var(--surface2);border:1px solid var(--border);border-radius:8px;padding:10px 14px;min-width:180px;flex:1;}
.struct-title{font-family:'JetBrains Mono',monospace;font-size:0.72rem;color:var(--text-dim);margin-bottom:8px;letter-spacing:1px;}
.struct-items{display:flex;gap:4px;flex-wrap:wrap;min-height:28px;align-items:center;}
.struct-item{font-family:'JetBrains Mono',monospace;font-size:0.78rem;padding:3px 8px;border-radius:6px;background:rgba(107,138,255,0.12);border:1px solid rgba(107,138,255,0.3);color:var(--accent3);}
.struct-item.top{background:rgba(255,107,157,0.15);border-color:rgba(255,107,157,0.4);color:var(--accent2);}
/* ── MST edge list ── */
.edge-list{display:flex;flex-direction:column;gap:6px;margin-top:14px;max-height:260px;overflow-y:auto;}
.edge-item{display:flex;align-items:center;gap:10px;padding:8px 14px;background:var(--surface2);border:1px solid var(--border);border-radius:8px;font-family:'JetBrains Mono',monospace;font-size:0.8rem;transition:all 0.3s;}
.edge-item.selected{border-color:var(--accent);background:rgba(0,255,170,0.06);color:var(--accent);}
.edge-item.rejected{border-color:var(--danger);background:rgba(255,68,102,0.06);color:var(--danger);text-decoration:line-through;opacity:0.7;}
.edge-item.current{border-color:var(--accent4);background:rgba(255,170,0,0.08);color:var(--accent4);box-shadow:0 0 12px rgba(255,170,0,0.15);}
.edge-item-badge{font-size:0.68rem;padding:2px 6px;border-radius:4px;}
.edge-item-badge.sel{background:rgba(0,255,170,0.2);color:var(--accent);}
.edge-item-badge.rej{background:rgba(255,68,102,0.2);color:var(--danger);}
.mst-weight-display{font-family:'JetBrains Mono',monospace;font-size:1.1rem;color:var(--accent);margin-top:12px;padding:10px 16px;background:var(--surface2);border-radius:8px;border:1px solid var(--border);}
/* ── Dijkstra dist table ── */
.dist-table{display:grid;grid-template-columns:repeat(6,1fr);gap:6px;margin-top:14px;}
.dist-cell{background:var(--surface2);border:1px solid var(--border);border-radius:8px;padding:10px 8px;text-align:center;transition:all 0.3s;}
.dist-cell.visited{border-color:var(--accent);background:rgba(0,255,170,0.06);}
.dist-cell.current{border-color:var(--accent4);background:rgba(255,170,0,0.08);box-shadow:0 0 12px rgba(255,170,0,0.2);}
.dist-cell.in-path{border-color:var(--accent2);background:rgba(255,107,157,0.08);}
.dist-cell-node{font-family:'JetBrains Mono',monospace;font-size:0.72rem;color:var(--text-dim);margin-bottom:4px;}
.dist-cell-val{font-family:'JetBrains Mono',monospace;font-size:1rem;font-weight:700;color:var(--text);}
.dist-cell.visited .dist-cell-val{color:var(--accent);}
.dist-cell.current .dist-cell-val{color:var(--accent4);}
/* ── Floyd cycle ── */
.floyd-nodes{display:flex;align-items:center;gap:0;flex-wrap:wrap;margin:20px 0;justify-content:center;}
.floyd-node{display:flex;flex-direction:column;align-items:center;gap:0;}
.floyd-node-box{width:50px;height:50px;border-radius:50%;display:flex;align-items:center;justify-content:center;font-family:'JetBrains Mono',monospace;font-size:1rem;font-weight:700;background:var(--surface2);border:2px solid var(--border);color:var(--text);transition:all 0.35s;position:relative;}
.floyd-node-box.slow{border-color:#ffd700;background:rgba(255,215,0,0.12);box-shadow:0 0 16px rgba(255,215,0,0.25);}
.floyd-node-box.fast{border-color:var(--accent2);background:rgba(255,107,157,0.12);box-shadow:0 0 16px rgba(255,107,157,0.25);}
.floyd-node-box.both{border-color:var(--accent);background:rgba(0,255,170,0.18);box-shadow:0 0 20px rgba(0,255,170,0.35);}
.floyd-node-box.cycle-start{border-color:var(--accent3);background:rgba(107,138,255,0.15);}
.floyd-arrow{font-family:'JetBrains Mono',monospace;font-size:1.1rem;color:var(--text-dim);padding:0 6px;align-self:center;}
.floyd-arrow.cycle{color:var(--accent2);}
.floyd-pointer-label{font-family:'JetBrains Mono',monospace;font-size:0.65rem;margin-top:4px;min-height:14px;color:var(--text-dim);}
.floyd-status{font-family:'JetBrains Mono',monospace;font-size:0.88rem;padding:10px 16px;border-radius:8px;background:var(--surface2);border:1px solid var(--border);margin-top:12px;min-height:42px;color:var(--text-dim);}
.floyd-status.found{border-color:var(--accent);color:var(--accent);background:rgba(0,255,170,0.06);}
.floyd-status.start-found{border-color:var(--accent3);color:var(--accent3);background:rgba(107,138,255,0.06);}
/* ── speed slider ── */
.speed-row{display:flex;align-items:center;gap:10px;font-family:'JetBrains Mono',monospace;font-size:0.78rem;color:var(--text-dim);}
.speed-slider{-webkit-appearance:none;width:130px;height:4px;border-radius:2px;background:var(--border);outline:none;}
.speed-slider::-webkit-slider-thumb{-webkit-appearance:none;width:14px;height:14px;border-radius:50%;background:var(--accent);cursor:pointer;}
/* ── select ── */
.node-select{background:var(--surface2);border:1px solid var(--border);border-radius:8px;color:var(--text);font-family:'JetBrains Mono',monospace;font-size:0.82rem;padding:7px 12px;outline:none;cursor:pointer;}
.node-select:focus{border-color:var(--accent);}
/* ── two-col layout ── */
.two-col{display:grid;grid-template-columns:1fr 1fr;gap:20px;margin-top:14px;}
@media(max-width:640px){.two-col{grid-template-columns:1fr;}}
/* ── info badge row ── */
.algo-info{display:flex;gap:8px;flex-wrap:wrap;margin-top:12px;}
.algo-badge{font-family:'JetBrains Mono',monospace;font-size:0.72rem;padding:4px 12px;border-radius:100px;border:1px solid var(--border);color:var(--text-dim);}
.algo-badge.highlight{border-color:var(--accent2);color:var(--accent2);background:rgba(255,107,157,0.07);}
.algo-badge.time{border-color:var(--accent4);color:var(--accent4);background:rgba(255,170,0,0.07);}
.algo-badge.space{border-color:var(--accent3);color:var(--accent3);background:rgba(107,138,255,0.07);}
</style>
</head>
<body class="page-body">
<nav class="page-nav">
<a href="index.html" class="nav-back">← 홈</a>
<div class="nav-chapter-title" style="color:var(--accent2)">Ch.4 — 그래프 알고리즘</div>
<div class="nav-sections">
<a href="#graph" class="nav-sec-link">그래프 기본</a>
<a href="#bfsdfs" class="nav-sec-link">DFS/BFS</a>
<a href="#mst" class="nav-sec-link">MST</a>
<a href="#dijkstra" class="nav-sec-link">다익스트라</a>
<a href="#cycle" class="nav-sec-link">사이클 탐지</a>
</div>
</nav>
<!-- ══════════════════════════════════════════
CHAPTER BANNER
═══════════════════════════════════════════ -->
<div class="chapter-banner cb4">
<div class="ch-num">CHAPTER 04</div>
<h2>그래프 알고리즘</h2>
<p class="ch-desc">정점과 간선으로 세상을 모델링하다 — DFS, BFS, MST, 최단 경로, 사이클 탐지까지</p>
<div class="ch-pills">
<span>Graph Traversal</span>
<span>DFS / BFS</span>
<span>Kruskal MST</span>
<span>Dijkstra</span>
<span>Floyd Cycle</span>
<span>Union-Find</span>
</div>
</div>
<!-- ══════════════════════════════════════════
SECTION 1: 그래프 기본
═══════════════════════════════════════════ -->
<section id="graph">
<div class="section-header">
<div class="tag tag-ch4">§1 · 그래프 기본</div>
<h2>Graph Basics</h2>
<p>그래프는 정점(Vertex)과 간선(Edge)으로 이루어진 자료구조입니다. 소셜 네트워크, 지도, 인터넷 라우팅 — 현실의 수많은 문제가 그래프로 모델링됩니다.</p>
</div>
<div class="viz-box">
<div class="controls">
<button class="btn" id="btnDirected" onclick="toggleDirected()">방향 그래프</button>
<button class="btn" id="btnWeight" onclick="toggleWeight()">가중치 표시</button>
<button class="btn" onclick="resetGraphDrag()">위치 초기화</button>
</div>
<div class="canvas-wrap">
<canvas id="graphCanvas" height="420"></canvas>
</div>
<div style="font-family:'JetBrains Mono',monospace;font-size:0.75rem;color:var(--text-dim);margin-top:8px;">
노드를 드래그해서 이동할 수 있습니다.
</div>
<div style="margin-top:18px;">
<div style="font-family:'JetBrains Mono',monospace;font-size:0.78rem;color:var(--text-dim);margin-bottom:10px;letter-spacing:1px;">ADJACENCY LIST</div>
<div class="adj-list" id="adjList"></div>
</div>
<div class="algo-info" style="margin-top:16px;">
<span class="algo-badge">정점 V = 6</span>
<span class="algo-badge">간선 E = 8</span>
<span class="algo-badge time">공간 O(V+E)</span>
</div>
</div>
</section>
<!-- ══════════════════════════════════════════
SECTION 2: DFS / BFS
═══════════════════════════════════════════ -->
<section id="bfsdfs">
<div class="section-header">
<div class="tag tag-ch4">§2 · 깊이/너비 우선 탐색</div>
<h2>DFS / BFS</h2>
<p>그래프를 탐색하는 두 가지 전략입니다. DFS(깊이우선탐색)는 스택을 사용해 한 방향으로 끝까지 파고들고, BFS(너비우선탐색)는 큐를 사용해 가까운 노드부터 탐색합니다.</p>
</div>
<div class="viz-box">
<div class="controls" style="align-items:center;">
<span style="font-family:'JetBrains Mono',monospace;font-size:0.8rem;color:var(--text-dim);">시작 노드</span>
<select class="node-select" id="traversalStart">
<option value="0">A</option><option value="1">B</option>
<option value="2">C</option><option value="3">D</option>
<option value="4">E</option><option value="5">F</option>
</select>
<button class="btn" id="btnDFS" onclick="runDFS(+document.getElementById('traversalStart').value)">DFS 실행</button>
<button class="btn" id="btnBFS" onclick="runBFS(+document.getElementById('traversalStart').value)">BFS 실행</button>
<button class="btn" onclick="resetTraversal()">초기화</button>
<div class="speed-row">
<span>속도</span>
<input type="range" class="speed-slider" id="speedSlider" min="1" max="10" value="5">
<span id="speedVal">5</span>
</div>
</div>
<div class="canvas-wrap">
<canvas id="traversalCanvas" height="380"></canvas>
</div>
<div class="struct-display">
<div class="struct-box">
<div class="struct-title" id="structTitle">STACK / QUEUE</div>
<div class="struct-items" id="structItems"></div>
</div>
<div class="struct-box">
<div class="struct-title">VISITED</div>
<div class="struct-items" id="visitedItems"></div>
</div>
</div>
<div style="margin-top:12px;">
<div class="tlog" id="traversalLog">
<span class="tlog-label">탐색 순서:</span>
</div>
</div>
<div class="algo-info" style="margin-top:12px;">
<span class="algo-badge time">시간 O(V+E)</span>
<span class="algo-badge space">공간 O(V)</span>
<span class="algo-badge">DFS: 스택 기반</span>
<span class="algo-badge">BFS: 큐 기반</span>
</div>
</div>
</section>
<!-- ══════════════════════════════════════════
SECTION 3: MST — Kruskal
═══════════════════════════════════════════ -->
<section id="mst">
<div class="section-header">
<div class="tag tag-ch4">§3 · 최소 신장 트리</div>
<h2>Kruskal's Algorithm</h2>
<p>신장 트리(Spanning Tree)는 모든 정점을 연결하는 최소한의 간선 집합입니다. Kruskal 알고리즘은 가중치 오름차순으로 간선을 추가하되, 사이클을 만들지 않는 간선만 선택합니다(Union-Find 활용).</p>
</div>
<div class="viz-box">
<div class="controls">
<button class="btn" id="btnKruskalStep" onclick="kruskalStep()">다음 단계</button>
<button class="btn" id="btnKruskalAuto" onclick="kruskalAuto()">자동 실행</button>
<button class="btn" onclick="kruskalReset()">초기화</button>
</div>
<div class="two-col">
<div>
<div class="canvas-wrap">
<canvas id="mstCanvas" height="380"></canvas>
</div>
<div class="mst-weight-display" id="mstWeightDisplay">MST 가중치: —</div>
</div>
<div>
<div style="font-family:'JetBrains Mono',monospace;font-size:0.75rem;color:var(--text-dim);margin-bottom:8px;letter-spacing:1px;">정렬된 간선 리스트</div>
<div class="edge-list" id="kruskalEdgeList"></div>
</div>
</div>
<div class="algo-info" style="margin-top:14px;">
<span class="algo-badge time">시간 O(E log E)</span>
<span class="algo-badge space">공간 O(V)</span>
<span class="algo-badge highlight">Union-Find</span>
<span class="algo-badge">Greedy Algorithm</span>
</div>
</div>
</section>
<!-- ══════════════════════════════════════════
SECTION 4: 다익스트라
═══════════════════════════════════════════ -->
<section id="dijkstra">
<div class="section-header">
<div class="tag tag-ch4">§4 · 최단 경로</div>
<h2>Dijkstra's Algorithm</h2>
<p>단일 출발점 최단 경로 알고리즘입니다. 음수 가중치가 없는 그래프에서 출발점에서 모든 정점까지의 최단 거리를 구합니다. 구글 지도, 네트워크 라우팅의 핵심 알고리즘입니다.</p>
</div>
<div class="viz-box">
<div class="controls" style="align-items:center;">
<span style="font-family:'JetBrains Mono',monospace;font-size:0.8rem;color:var(--text-dim);">출발 노드</span>
<select class="node-select" id="dijkStart">
<option value="0">A</option><option value="1">B</option>
<option value="2">C</option><option value="3">D</option>
<option value="4">E</option><option value="5">F</option>
</select>
<button class="btn" id="btnDijkStep" onclick="dijkstraStep()">다음 단계</button>
<button class="btn" id="btnDijkAuto" onclick="dijkstraAuto()">자동 실행</button>
<button class="btn" onclick="dijkstraReset()">초기화</button>
</div>
<div class="canvas-wrap">
<canvas id="dijkCanvas" height="380"></canvas>
</div>
<div style="font-family:'JetBrains Mono',monospace;font-size:0.75rem;color:var(--text-dim);margin:14px 0 8px;letter-spacing:1px;">최단 거리 테이블</div>
<div class="dist-table" id="distTable"></div>
<div class="algo-info" style="margin-top:14px;">
<span class="algo-badge time">시간 O((V+E) log V)</span>
<span class="algo-badge space">공간 O(V)</span>
<span class="algo-badge highlight">Priority Queue</span>
<span class="algo-badge">음수 가중치 불가</span>
</div>
</div>
</section>
<!-- ══════════════════════════════════════════
SECTION 5: 사이클 탐지 — Floyd
═══════════════════════════════════════════ -->
<section id="cycle">
<div class="section-header">
<div class="tag tag-ch4">§5 · 사이클 탐지</div>
<h2>Floyd's Tortoise & Hare</h2>
<p>Floyd의 토끼와 거북이 알고리즘은 연결 리스트에서 사이클을 O(n) 시간, O(1) 공간으로 탐지합니다. 느린 포인터(거북이)는 한 칸씩, 빠른 포인터(토끼)는 두 칸씩 이동합니다. 사이클이 있으면 반드시 만납니다.</p>
</div>
<div class="viz-box">
<div class="controls">
<button class="btn" id="btnFloydStep" onclick="floydStep()">다음 단계</button>
<button class="btn" onclick="floydReset()">초기화</button>
</div>
<div style="font-family:'JetBrains Mono',monospace;font-size:0.75rem;color:var(--text-dim);margin-bottom:12px;">
연결 리스트: 1 → 2 → 3 → 4 → 5 → 6 → 3 (사이클)
</div>
<div class="canvas-wrap">
<canvas id="floydCanvas" height="260"></canvas>
</div>
<div class="floyd-status" id="floydStatus">🐢 거북이(slow) = 1, 🐇 토끼(fast) = 1 — 탐색 시작</div>
<div style="display:flex;gap:16px;margin-top:12px;flex-wrap:wrap;">
<div class="struct-box" style="min-width:180px;">
<div class="struct-title">SLOW POINTER 🐢</div>
<div class="struct-items"><span class="struct-item" id="slowPos">노드 1</span></div>
</div>
<div class="struct-box" style="min-width:180px;">
<div class="struct-title">FAST POINTER 🐇</div>
<div class="struct-items"><span class="struct-item top" id="fastPos">노드 1</span></div>
</div>
<div class="struct-box" style="min-width:180px;">
<div class="struct-title">단계</div>
<div class="struct-items"><span class="struct-item" id="floydStep_count">0</span></div>
</div>
</div>
<div class="algo-info" style="margin-top:14px;">
<span class="algo-badge time">시간 O(n)</span>
<span class="algo-badge space">공간 O(1)</span>
<span class="algo-badge highlight">Two Pointers</span>
<span class="algo-badge">사이클 시작점도 탐지 가능</span>
</div>
</div>
</section>
<div style="height:80px;"></div>
<!-- ══════════════════════════════════════════
JAVASCRIPT
═══════════════════════════════════════════ -->
<script>
"use strict";
// ─────────────────────────────────────────
// SHARED DATA
// ─────────────────────────────────────────
const sl = ms => new Promise(r => setTimeout(r, ms));
const LABELS = ['A','B','C','D','E','F'];
// Preset node positions (will be scaled by canvas width)
const BASE_W = 580; // design width
const BASE_NODES = [
{x:150, y:100},
{x:350, y:80},
{x:500, y:200},
{x:400, y:350},
{x:200, y:350},
{x:80, y:250}
];
// Undirected weighted edges [u, v, weight]
const EDGES = [
[0,1,4],[0,5,2],[1,2,5],[1,4,10],
[2,3,3],[3,4,4],[4,5,6],[5,2,8]
];
// CSS var helpers
function cssVar(name){ return getComputedStyle(document.documentElement).getPropertyValue(name).trim(); }
const C = {
bg: ()=> cssVar('--bg'),
surface: ()=> cssVar('--surface'),
surface2:()=> cssVar('--surface2'),
border: ()=> cssVar('--border'),
text: ()=> cssVar('--text'),
dim: ()=> cssVar('--text-dim'),
accent: ()=> cssVar('--accent'),
accent2: ()=> cssVar('--accent2'),
accent3: ()=> cssVar('--accent3'),
accent4: ()=> cssVar('--accent4'),
danger: ()=> cssVar('--danger'),
success: ()=> cssVar('--success'),
};
// ─────────────────────────────────────────
// SECTION 1: GRAPH BASICS
// ─────────────────────────────────────────
const gCanvas = document.getElementById('graphCanvas');
const gCtx = gCanvas.getContext('2d');
let gDirected = false;
let gWeighted = true;
let gNodes = [];
function initGraph(){
resizeCanvas(gCanvas);
const scale = gCanvas.width / BASE_W;
gNodes = BASE_NODES.map(n => ({x: n.x * scale, y: n.y * scale}));
drawGraph();
renderAdjList();
}
function resizeCanvas(c){
const rect = c.parentElement.getBoundingClientRect();
c.width = Math.floor(rect.width);
c.height = parseInt(c.getAttribute('height'));
}
function drawGraph(
nodeColors = {},
edgeColors = {},
edgeWidths = {},
pulseIdx = -1,
arrowOffsets = {}
){
const ctx = gCtx;
const w = gCanvas.width, h = gCanvas.height;
ctx.clearRect(0,0,w,h);
// Draw edges
for(const [u,v,wt] of EDGES){
const nu = gNodes[u], nv = gNodes[v];
const col = edgeColors[[u,v]] || edgeColors[[v,u]] || C.border();
const lw = edgeWidths[[u,v]] || edgeWidths[[v,u]] || 2;
ctx.save();
ctx.strokeStyle = col;
ctx.lineWidth = lw;
ctx.shadowColor = col;
ctx.shadowBlur = lw > 2 ? 8 : 0;
if(gDirected){
drawArrow(ctx, nu.x, nu.y, nv.x, nv.y, 22, col);
} else {
ctx.beginPath();
ctx.moveTo(nu.x, nu.y);
ctx.lineTo(nv.x, nv.y);
ctx.stroke();
}
if(gWeighted){
const mx = (nu.x+nv.x)/2, my = (nu.y+nv.y)/2;
const dx = nv.x-nu.x, dy = nv.y-nu.y;
const len = Math.hypot(dx,dy)||1;
const ox = -dy/len*12, oy = dx/len*12;
ctx.shadowBlur = 0;
ctx.fillStyle = col !== C.border() ? col : C.accent4();
ctx.font = '600 12px JetBrains Mono, monospace';
ctx.textAlign = 'center';
ctx.textBaseline= 'middle';
ctx.fillText(wt, mx+ox, my+oy);
}
ctx.restore();
}
// Draw nodes
for(let i=0;i<gNodes.length;i++){
const n = gNodes[i];
const col = nodeColors[i] || C.surface2();
const bc = nodeColors[i] ? nodeColors[i] : C.border();
const r = 22;
const pulsing = (i === pulseIdx);
ctx.save();
if(pulsing){
ctx.shadowColor = C.accent();
ctx.shadowBlur = 20;
}
ctx.beginPath();
ctx.arc(n.x, n.y, r + (pulsing?3:0), 0, Math.PI*2);
ctx.fillStyle = col;
ctx.fill();
ctx.strokeStyle = bc;
ctx.lineWidth = pulsing ? 3 : 2;
ctx.stroke();
ctx.restore();
ctx.font = 'bold 14px JetBrains Mono, monospace';
ctx.fillStyle = nodeColors[i] ? C.bg() : C.text();
ctx.textAlign = 'center';
ctx.textBaseline = 'middle';
ctx.fillText(LABELS[i], n.x, n.y);
}
}
function drawArrow(ctx, x1,y1, x2,y2, nodeR, color){
const dx = x2-x1, dy = y2-y1;
const len= Math.hypot(dx,dy)||1;
const ux = dx/len, uy = dy/len;
const sx = x1 + ux*nodeR, sy = y1 + uy*nodeR;
const ex = x2 - ux*nodeR, ey = y2 - uy*nodeR;
const aw = 10, ah = 7;
ctx.beginPath();
ctx.moveTo(sx,sy);
ctx.lineTo(ex,ey);
ctx.stroke();
// arrowhead
const ax = ex - ux*aw + (-uy)*ah;
const ay = ey - uy*aw + (ux)*ah;
const bx = ex - ux*aw - (-uy)*ah;
const by = ey - uy*aw - (ux)*ah;
ctx.beginPath();
ctx.moveTo(ex,ey);
ctx.lineTo(ax,ay);
ctx.lineTo(bx,by);
ctx.closePath();
ctx.fillStyle = color;
ctx.fill();
}
function toggleDirected(){
gDirected = !gDirected;
const btn = document.getElementById('btnDirected');
btn.classList.toggle('active', gDirected);
btn.textContent = gDirected ? '방향 그래프 ON' : '방향 그래프';
drawGraph();
}
function toggleWeight(){
gWeighted = !gWeighted;
const btn = document.getElementById('btnWeight');
btn.classList.toggle('active', gWeighted);
btn.textContent = gWeighted ? '가중치 ON' : '가중치 표시';
drawGraph();
}
function resetGraphDrag(){
const scale = gCanvas.width / BASE_W;
gNodes = BASE_NODES.map(n => ({x: n.x*scale, y: n.y*scale}));
drawGraph();
}
function renderAdjList(){
const div = document.getElementById('adjList');
const adj = LABELS.map(()=>[]);
for(const [u,v,w] of EDGES){
adj[u].push({to:v, w});
if(!gDirected) adj[v].push({to:u, w});
}
div.innerHTML = LABELS.map((l,i)=>`
<div class="adj-node">
<div class="adj-node-label">${l}</div>
<div class="adj-edges">${
adj[i].length
? adj[i].map(e=>`<span class="adj-edge-item">→ ${LABELS[e.to]} <small style="color:var(--accent4)">(${e.w})</small></span>`).join('<br>')
: '<span style="opacity:.4">없음</span>'
}</div>
</div>`).join('');
}
// Drag on graph canvas
let dragIdx = -1;
gCanvas.addEventListener('mousedown', e => {
const r = gCanvas.getBoundingClientRect();
const mx = (e.clientX-r.left)*(gCanvas.width/r.width);
const my = (e.clientY-r.top)*(gCanvas.height/r.height);
dragIdx = gNodes.findIndex(n => Math.hypot(n.x-mx,n.y-my) < 26);
});
gCanvas.addEventListener('mousemove', e => {
if(dragIdx<0) return;
const r = gCanvas.getBoundingClientRect();
gNodes[dragIdx].x = (e.clientX-r.left)*(gCanvas.width/r.width);
gNodes[dragIdx].y = (e.clientY-r.top)*(gCanvas.height/r.height);
drawGraph();
});
gCanvas.addEventListener('mouseup', ()=>{ dragIdx=-1; });
gCanvas.addEventListener('mouseleave',()=>{ dragIdx=-1; });
// Touch drag
gCanvas.addEventListener('touchstart', e=>{
e.preventDefault();
const t = e.touches[0];
const r = gCanvas.getBoundingClientRect();
const mx = (t.clientX-r.left)*(gCanvas.width/r.width);
const my = (t.clientY-r.top)*(gCanvas.height/r.height);
dragIdx = gNodes.findIndex(n => Math.hypot(n.x-mx,n.y-my) < 30);
},{passive:false});
gCanvas.addEventListener('touchmove', e=>{
e.preventDefault();
if(dragIdx<0) return;
const t = e.touches[0];
const r = gCanvas.getBoundingClientRect();
gNodes[dragIdx].x = (t.clientX-r.left)*(gCanvas.width/r.width);
gNodes[dragIdx].y = (t.clientY-r.top)*(gCanvas.height/r.height);
drawGraph();
},{passive:false});
gCanvas.addEventListener('touchend',()=>{ dragIdx=-1; });
// ─────────────────────────────────────────
// SECTION 2: DFS / BFS
// ─────────────────────────────────────────
const tCanvas = document.getElementById('traversalCanvas');
const tCtx = tCanvas.getContext('2d');
let tNodes = [];
let traversalRunning = false;
document.getElementById('speedSlider').addEventListener('input', function(){
document.getElementById('speedVal').textContent = this.value;
});
function initTraversal(){
resizeCanvas(tCanvas);
const scale = tCanvas.width / BASE_W;
tNodes = BASE_NODES.map(n => ({x: n.x*scale, y: n.y*scale}));
drawTraversal({});
}
function drawTraversal(state){
const ctx = tCtx;
const w = tCanvas.width, h = tCanvas.height;
ctx.clearRect(0,0,w,h);
const {visited={}, current=-1, path=[], edgeStates={}} = state;
// Edges
for(const [u,v,wt] of EDGES){
const nu = tNodes[u], nv = tNodes[v];
const ek = edgeStates[[u,v]] || edgeStates[[v,u]] || 'normal';
let col = C.border(), lw = 2;
if(ek==='traversed'){col=C.accent(); lw=3;}
ctx.save();
ctx.strokeStyle=col; ctx.lineWidth=lw;
ctx.shadowColor=col; ctx.shadowBlur = lw>2?8:0;
ctx.beginPath();
ctx.moveTo(nu.x,nu.y); ctx.lineTo(nv.x,nv.y);
ctx.stroke();
// weight
const mx=(nu.x+nv.x)/2, my=(nu.y+nv.y)/2;
const dx=nv.x-nu.x,dy=nv.y-nu.y,len=Math.hypot(dx,dy)||1;
ctx.shadowBlur=0;
ctx.fillStyle=C.accent4(); ctx.font='600 11px JetBrains Mono,monospace';
ctx.textAlign='center'; ctx.textBaseline='middle';
ctx.fillText(wt, mx+(-dy/len*11), my+(dx/len*11));
ctx.restore();
}
// Nodes
for(let i=0;i<tNodes.length;i++){
const n = tNodes[i];
const isVisited = visited[i];
const isCurrent = i===current;
const r=22;
ctx.save();
let fill = C.surface2();
let stroke = C.border();
if(isVisited){ fill=C.accent(); stroke=C.accent(); }
if(isCurrent){ fill=C.accent2(); stroke=C.accent2(); ctx.shadowColor=C.accent2(); ctx.shadowBlur=18; }
ctx.beginPath(); ctx.arc(n.x,n.y,r+(isCurrent?3:0),0,Math.PI*2);
ctx.fillStyle=fill; ctx.fill();
ctx.strokeStyle=stroke; ctx.lineWidth=2; ctx.stroke();
ctx.restore();
ctx.font='bold 14px JetBrains Mono,monospace';
ctx.fillStyle=(isVisited||isCurrent)?C.bg():C.text();
ctx.textAlign='center'; ctx.textBaseline='middle';
ctx.fillText(LABELS[i], n.x, n.y);
}
}
function buildAdj(){
const adj = Array.from({length:6},()=>[]);
for(const [u,v] of EDGES){ adj[u].push(v); adj[v].push(u); }
return adj;
}
function getSpeed(){
const v = +document.getElementById('speedSlider').value;
return Math.round(1000/v);
}
function setTraversalBtns(disabled){
['btnDFS','btnBFS'].forEach(id=>{ document.getElementById(id).disabled=disabled; });
}
function resetTraversal(){
traversalRunning=false;
drawTraversal({});
document.getElementById('traversalLog').innerHTML='<span class="tlog-label">탐색 순서:</span>';
document.getElementById('structItems').innerHTML='';
document.getElementById('visitedItems').innerHTML='';
document.getElementById('structTitle').textContent='STACK / QUEUE';
setTraversalBtns(false);
}
function updateStructDisplay(title, items, top=-1){
document.getElementById('structTitle').textContent = title;
const el = document.getElementById('structItems');
el.innerHTML = items.map((it,i)=>`<span class="struct-item${i===items.length-1&&top>=0?' top':''}">${LABELS[it]}</span>`).join('');
}
function updateVisitedDisplay(visited){
const el = document.getElementById('visitedItems');
el.innerHTML = Object.keys(visited).map(i=>`<span class="struct-item">${LABELS[i]}</span>`).join('');
}
function addToLog(nodeIdx){
const log = document.getElementById('traversalLog');
const pill = document.createElement('span');
pill.className='tlog-node'; pill.textContent=LABELS[nodeIdx];
log.appendChild(pill);
}
async function runDFS(start){
if(traversalRunning) return;
traversalRunning=true;
setTraversalBtns(true);
document.getElementById('traversalLog').innerHTML='<span class="tlog-label">DFS 순서:</span>';
document.getElementById('structItems').innerHTML='';
document.getElementById('visitedItems').innerHTML='';
const adj = buildAdj();
const visited = {};
const edgeStates = {};
const stack = [start];
while(stack.length>0 && traversalRunning){
const cur = stack.pop();
if(visited[cur]) continue;
visited[cur] = true;
addToLog(cur);
updateStructDisplay('STACK (DFS)', [...stack]);
updateVisitedDisplay(visited);
drawTraversal({visited, current:cur, edgeStates});
await sl(getSpeed());
for(const nb of [...adj[cur]].reverse()){
if(!visited[nb]) stack.push(nb);
}
// mark edges
for(const nb of adj[cur]){
if(visited[nb]){
edgeStates[[cur,nb]] = 'traversed';
edgeStates[[nb,cur]] = 'traversed';
}
}
}
drawTraversal({visited, current:-1, edgeStates});
setTraversalBtns(false);
traversalRunning=false;
}
async function runBFS(start){
if(traversalRunning) return;
traversalRunning=true;
setTraversalBtns(true);
document.getElementById('traversalLog').innerHTML='<span class="tlog-label">BFS 순서:</span>';
document.getElementById('structItems').innerHTML='';
document.getElementById('visitedItems').innerHTML='';
const adj = buildAdj();
const visited = {};
const edgeStates = {};
const queue = [start];
visited[start] = true;
while(queue.length>0 && traversalRunning){
const cur = queue.shift();
addToLog(cur);
updateStructDisplay('QUEUE (BFS)', [...queue]);
updateVisitedDisplay(visited);
drawTraversal({visited, current:cur, edgeStates});
await sl(getSpeed());
for(const nb of adj[cur]){
if(!visited[nb]){
visited[nb]=true;
queue.push(nb);
edgeStates[[cur,nb]]='traversed';
edgeStates[[nb,cur]]='traversed';
}
}
}
drawTraversal({visited, current:-1, edgeStates});
setTraversalBtns(false);
traversalRunning=false;
}
// ─────────────────────────────────────────
// SECTION 3: KRUSKAL MST
// ─────────────────────────────────────────
const mCanvas = document.getElementById('mstCanvas');
const mCtx = mCanvas.getContext('2d');
let mNodes = [];
// Sort edges by weight
const SORTED_EDGES = [...EDGES].sort((a,b)=>a[2]-b[2]);
let kState = null;
let kAutoRunning = false;
function initMST(){
resizeCanvas(mCanvas);
const scale = mCanvas.width / BASE_W;
mNodes = BASE_NODES.map(n => ({x:n.x*scale, y:n.y*scale}));
kruskalReset();
}
// Union-Find
function makeUF(n){ return {parent:Array.from({length:n},(_,i)=>i), rank:new Array(n).fill(0)}; }
function ufFind(uf,x){ if(uf.parent[x]!==x) uf.parent[x]=ufFind(uf,uf.parent[x]); return uf.parent[x]; }
function ufUnion(uf,x,y){
const rx=ufFind(uf,x), ry=ufFind(uf,y);
if(rx===ry) return false;
if(uf.rank[rx]<uf.rank[ry]) uf.parent[rx]=ry;
else if(uf.rank[rx]>uf.rank[ry]) uf.parent[ry]=rx;
else { uf.parent[ry]=rx; uf.rank[rx]++; }
return true;
}
function kruskalReset(){
kAutoRunning=false;
kState = {
uf: makeUF(6),
idx: 0,
selected: [],
rejected: [],
currentEdgeIdx: -1,
totalWeight: 0,
done: false
};
drawMST(kState);
renderKruskalEdgeList(kState);
document.getElementById('mstWeightDisplay').textContent='MST 가중치: —';
document.getElementById('btnKruskalStep').disabled=false;
document.getElementById('btnKruskalAuto').disabled=false;
}
function kruskalStep(){
if(!kState || kState.done) return;
const {uf, idx, selected, rejected} = kState;
if(idx >= SORTED_EDGES.length){
kState.done=true;
document.getElementById('mstWeightDisplay').textContent=`MST 가중치: ${kState.totalWeight}`;
document.getElementById('btnKruskalStep').disabled=true;
drawMST(kState);
return;
}
const [u,v,w] = SORTED_EDGES[idx];
kState.currentEdgeIdx = idx;
if(ufUnion(uf,u,v)){
selected.push(idx);
kState.totalWeight += w;
} else {
rejected.push(idx);
}
kState.idx++;
if(kState.idx >= SORTED_EDGES.length || selected.length===5){
kState.done=true;
document.getElementById('mstWeightDisplay').textContent=`MST 가중치: ${kState.totalWeight}`;
document.getElementById('btnKruskalStep').disabled=true;
}
drawMST(kState);
renderKruskalEdgeList(kState);
}
async function kruskalAuto(){
if(kAutoRunning) return;
kAutoRunning=true;
document.getElementById('btnKruskalAuto').disabled=true;
while(!kState.done && kAutoRunning){
kruskalStep();
await sl(700);
}
kAutoRunning=false;
}
function drawMST(state){
const ctx=mCtx;
ctx.clearRect(0,0,mCanvas.width,mCanvas.height);
const {selected, rejected, currentEdgeIdx} = state;
for(let ei=0; ei<SORTED_EDGES.length; ei++){
const [u,v,w] = SORTED_EDGES[ei];
const nu=mNodes[u], nv=mNodes[v];
let col=C.border(), lw=2;
if(selected.includes(ei)){ col=C.accent(); lw=3; }
if(rejected.includes(ei)){ col=C.danger(); lw=2; }
if(ei===currentEdgeIdx && !state.done){ col=C.accent4(); lw=3.5; }
ctx.save();
ctx.strokeStyle=col; ctx.lineWidth=lw;
ctx.shadowColor=col; ctx.shadowBlur=lw>2?10:0;
ctx.beginPath(); ctx.moveTo(nu.x,nu.y); ctx.lineTo(nv.x,nv.y); ctx.stroke();
const mx=(nu.x+nv.x)/2,my=(nu.y+nv.y)/2;
const dx=nv.x-nu.x,dy=nv.y-nu.y,len=Math.hypot(dx,dy)||1;
ctx.shadowBlur=0;
ctx.fillStyle=col!==C.border()?col:C.accent4();
ctx.font='600 12px JetBrains Mono,monospace';
ctx.textAlign='center'; ctx.textBaseline='middle';
ctx.fillText(w, mx+(-dy/len*12), my+(dx/len*12));
ctx.restore();
}
for(let i=0;i<mNodes.length;i++){
const n=mNodes[i];
const inMST = selected.some(ei=>{ const [u,v]=SORTED_EDGES[ei]; return u===i||v===i; });
ctx.save();
let fill=C.surface2(), stroke=C.border();
if(inMST){ fill=C.accent(); stroke=C.accent(); }
ctx.shadowColor=stroke; ctx.shadowBlur=inMST?14:0;
ctx.beginPath(); ctx.arc(n.x,n.y,22,0,Math.PI*2);
ctx.fillStyle=fill; ctx.fill();
ctx.strokeStyle=stroke; ctx.lineWidth=2; ctx.stroke();
ctx.restore();
ctx.font='bold 14px JetBrains Mono,monospace';
ctx.fillStyle=inMST?C.bg():C.text();
ctx.textAlign='center'; ctx.textBaseline='middle';
ctx.fillText(LABELS[i],n.x,n.y);
}
}
function renderKruskalEdgeList(state){
const {selected, rejected, currentEdgeIdx} = state;
const el = document.getElementById('kruskalEdgeList');
el.innerHTML = SORTED_EDGES.map((e,i)=>{
const [u,v,w]=e;
let cls='edge-item';
let badge='';
if(selected.includes(i)){ cls+=' selected'; badge=`<span class="edge-item-badge sel">선택</span>`; }
if(rejected.includes(i)){ cls+=' rejected'; badge=`<span class="edge-item-badge rej">사이클</span>`; }
if(i===currentEdgeIdx && !state.done){ cls+=' current'; badge=`<span class="edge-item-badge" style="background:rgba(255,170,0,0.2);color:var(--accent4)">검토중</span>`; }
return `<div class="${cls}">
<span style="color:var(--accent2)">${LABELS[u]}–${LABELS[v]}</span>
<span style="color:var(--accent4);font-size:0.78rem">w=${w}</span>
${badge}
</div>`;
}).join('');
}
// ─────────────────────────────────────────
// SECTION 4: DIJKSTRA
// ─────────────────────────────────────────
const dCanvas = document.getElementById('dijkCanvas');
const dCtx = dCanvas.getContext('2d');
let dNodes = [];
let dijkState = null;
let dijkAutoRunning = false;
function initDijkstra(){
resizeCanvas(dCanvas);
const scale = dCanvas.width / BASE_W;
dNodes = BASE_NODES.map(n => ({x:n.x*scale, y:n.y*scale}));
dijkstraReset();
}
function dijkstraReset(){
dijkAutoRunning=false;
const src = +document.getElementById('dijkStart').value;
const INF = Infinity;
dijkState = {
src,
dist: new Array(6).fill(INF),
prev: new Array(6).fill(-1),
visited:new Array(6).fill(false),
pq: [{node:src, d:0}],
current:-1,
relaxedEdges: {},
done: false
};
dijkState.dist[src]=0;
drawDijkstra(dijkState);
renderDistTable(dijkState);
document.getElementById('btnDijkStep').disabled=false;
document.getElementById('btnDijkAuto').disabled=false;
}
// adjacency with weights
function buildWeightedAdj(){
const adj = Array.from({length:6},()=>[]);
for(const [u,v,w] of EDGES){
adj[u].push({to:v,w});
adj[v].push({to:u,w});
}
return adj;
}
function dijkstraStep(){
if(!dijkState || dijkState.done) return;
const {dist,prev,visited,pq,relaxedEdges} = dijkState;
const adj = buildWeightedAdj();
// Pop min from pq
if(pq.length===0){ dijkState.done=true; drawDijkstra(dijkState); renderDistTable(dijkState); return; }
pq.sort((a,b)=>a.d-b.d);
const {node:u, d:du} = pq.shift();
if(visited[u]){ drawDijkstra(dijkState); return; }
visited[u]=true;
dijkState.current=u;
for(const {to:v,w} of adj[u]){
if(visited[v]) continue;
const nd = dist[u]+w;
if(nd<dist[v]){
dist[v]=nd; prev[v]=u;
pq.push({node:v, d:nd});
relaxedEdges[[u,v]]=true; relaxedEdges[[v,u]]=true;
}
}
if(pq.filter(x=>!visited[x.node]).length===0 && visited.every(v=>v)){
dijkState.done=true;
document.getElementById('btnDijkStep').disabled=true;
}
drawDijkstra(dijkState);
renderDistTable(dijkState);
}
async function dijkstraAuto(){
if(dijkAutoRunning) return;
dijkAutoRunning=true;
document.getElementById('btnDijkAuto').disabled=true;
while(!dijkState.done && dijkAutoRunning){
dijkstraStep();
await sl(700);
}
dijkAutoRunning=false;
}
function getPathEdges(state){
const edges = new Set();
const {prev} = state;
for(let v=0;v<6;v++){
if(prev[v]>=0){