linked list visualisations

This commit is contained in:
2025-08-24 16:33:51 +01:00
parent 18381cea6b
commit c92eb1e7af
12 changed files with 1272 additions and 6 deletions

View File

@@ -14,11 +14,13 @@ import {
RelatedPatterns,
} from "@/components/patterns";
import { PatternVisualization } from "@/components/visualization";
import { TwoPointersVisualization, PrefixSumVisualization } from "@/components/visualizations-new";
import { TwoPointersVisualization, PrefixSumVisualization, LinkedListVisualization } from "@/components/visualizations-new";
import { twoSumAlgorithm } from "@/content/algorithms/two-sum";
import { slidingWindowAlgorithm } from "@/content/algorithms/sliding-window";
import { binarySearchAlgorithm } from "@/content/algorithms/binary-search";
import { prefixSumAlgorithm } from "@/content/algorithms/prefix-sum";
import { fastSlowPointersAlgorithm } from "@/content/algorithms/fast-slow-pointers";
import { linkedListReversalAlgorithm } from "@/content/algorithms/linkedlist-reversal";
interface PageProps {
params: Promise<{ slug: string }>;
@@ -119,6 +121,10 @@ export default async function PatternDetailPage({ params }: PageProps) {
<TwoPointersVisualization algorithm={binarySearchAlgorithm} />
) : slug === "prefix-sum" ? (
<PrefixSumVisualization algorithm={prefixSumAlgorithm} />
) : slug === "fast-slow-pointers" ? (
<LinkedListVisualization algorithm={fastSlowPointersAlgorithm} />
) : slug === "linkedlist-reversal" ? (
<LinkedListVisualization algorithm={linkedListReversalAlgorithm} />
) : pattern.visualization_examples && pattern.visualization_examples.length > 0 ? (
<Card>
<CardHeader>

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@@ -0,0 +1,66 @@
'use client';
import { useVisualization } from '@/lib/visualizations/use-visualization';
import type { AlgorithmDefinition, LinkedListState, LinkedListPointerState } from '@/lib/visualizations/types';
import { VisualizationContainer } from '../core/visualization-container';
import { LinkedListView } from '../data-structures/linked-list-view';
interface LinkedListVisualizationProps {
algorithm: AlgorithmDefinition;
className?: string;
}
export function LinkedListVisualization({
algorithm,
className,
}: LinkedListVisualizationProps) {
const {
currentStep,
currentStepIndex,
totalSteps,
playback,
controls,
currentPhase,
progress,
} = useVisualization(algorithm);
const { dataState } = currentStep;
// Extract linked list and pointers from dataState
// We store linkedLists in a custom field, falling back to empty
const linkedList: LinkedListState = (dataState as { linkedLists?: LinkedListState[] }).linkedLists?.[0] ?? {
id: 'empty',
nodes: [],
};
const linkedListPointers: LinkedListPointerState[] =
(dataState as { linkedListPointers?: LinkedListPointerState[] }).linkedListPointers ?? [];
return (
<VisualizationContainer
title={algorithm.title}
pattern={algorithm.pattern}
code={algorithm.code}
currentLine={currentStep.codeLine}
highlightLines={currentStep.codeHighlightLines}
explanation={currentStep.explanation}
decision={currentStep.decision}
phase={currentPhase}
variables={dataState.variables}
currentStepIndex={currentStepIndex}
totalSteps={totalSteps}
isPlaying={playback.isPlaying}
speed={playback.speed}
controls={controls}
progress={progress}
className={className}
>
<div className="flex flex-col items-center justify-center">
<LinkedListView
list={linkedList}
pointers={linkedListPointers}
/>
</div>
</VisualizationContainer>
);
}

View File

@@ -81,7 +81,7 @@ export function VisualizationContainer({
</div>
<div
className="flex min-h-80 items-center justify-center rounded-lg border border-border bg-surface px-8 py-4 lg:h-auto"
className="flex min-h-80 min-w-0 items-center justify-center overflow-x-auto rounded-lg border border-border bg-surface px-8 py-4 lg:h-auto"
role="img"
aria-label="Algorithm visualization"
>

View File

@@ -39,6 +39,30 @@ export function ArrayView({
// Calculate total array width for proper pointer alignment
const totalWidth = array.elements.length * elementWidth + (array.elements.length - 1) * gap;
// Check if any pointers are too close together (within 1 index) - hide values to save space
const hasClosePointers = pointers.length > 1 && pointers.some((p, i) => {
return pointers.some((other, j) => i !== j && Math.abs(p.index - other.index) <= 1);
});
// Group pointers by index to calculate offsets for overlapping pointers at same position
const pointersByIndex = pointers.reduce((acc, pointer) => {
const idx = pointer.index;
if (!acc[idx]) acc[idx] = [];
acc[idx].push(pointer);
return acc;
}, {} as Record<number, PointerState[]>);
// Calculate horizontal offset for pointers at the same index
const getPointerOffset = (pointer: PointerState): number => {
const pointersAtIndex = pointersByIndex[pointer.index] || [];
if (pointersAtIndex.length <= 1) return 0;
const pointerIdx = pointersAtIndex.findIndex(p => p.id === pointer.id);
const totalPointers = pointersAtIndex.length;
const spacing = 36; // px between overlapping pointers
return (pointerIdx - (totalPointers - 1) / 2) * spacing;
};
return (
<div className={cn("flex flex-col items-center", className)}>
{array.label && (
@@ -58,6 +82,8 @@ export function ArrayView({
elementWidth={elementWidth}
gap={gap}
value={array.elements[pointer.index]?.value}
hideValue={hasClosePointers}
horizontalOffset={getPointerOffset(pointer)}
/>
))}
</div>

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@@ -0,0 +1,80 @@
'use client';
import { cn } from '@/lib/utils';
import type { LinkedListState, LinkedListPointerState } from '@/lib/visualizations/types';
import { LinkedListNode } from '../primitives/linked-list-node';
import { LinkedListPointer } from '../primitives/linked-list-pointer';
interface LinkedListViewProps {
list: LinkedListState;
pointers: LinkedListPointerState[];
className?: string;
}
const NODE_WIDTH = 40; // w-10 = 40px
const ARROW_WIDTH = 22; // 16px line + 6px arrow head
export function LinkedListView({
list,
pointers,
className,
}: LinkedListViewProps) {
// Calculate total width for proper pointer alignment
const totalWidth = list.nodes.length * NODE_WIDTH + (list.nodes.length - 1) * ARROW_WIDTH;
// Group pointers by nodeIndex to calculate offsets for overlapping pointers
const pointersByIndex = pointers.reduce((acc, pointer) => {
const idx = pointer.nodeIndex;
if (!acc[idx]) acc[idx] = [];
acc[idx].push(pointer);
return acc;
}, {} as Record<number, LinkedListPointerState[]>);
// Calculate horizontal offset for each pointer
const getPointerOffset = (pointer: LinkedListPointerState): number => {
const pointersAtIndex = pointersByIndex[pointer.nodeIndex] || [];
if (pointersAtIndex.length <= 1) return 0;
const pointerIdx = pointersAtIndex.findIndex(p => p.id === pointer.id);
const totalPointers = pointersAtIndex.length;
const spacing = 28; // px between overlapping pointers
// Center the group: offset from center based on position
return (pointerIdx - (totalPointers - 1) / 2) * spacing;
};
return (
<div className={cn('flex flex-col items-center', className)}>
{list.label && (
<span className="mb-2 text-sm font-medium text-foreground-muted">
{list.label}
</span>
)}
<div className="relative" style={{ width: totalWidth }}>
{/* Pointers row */}
<div className="relative mb-1 h-8">
{pointers.map((pointer) => (
<LinkedListPointer
key={pointer.id}
pointer={pointer}
nodeWidth={NODE_WIDTH}
arrowWidth={ARROW_WIDTH}
horizontalOffset={getPointerOffset(pointer)}
/>
))}
</div>
{/* Linked list nodes */}
<div className="flex items-center">
{list.nodes.map((node, index) => (
<LinkedListNode
key={node.id}
node={node}
isLast={index === list.nodes.length - 1}
/>
))}
</div>
</div>
</div>
);
}

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@@ -9,10 +9,14 @@ export { VariableInspector } from "./core/variable-inspector";
export { ArrayElement } from "./primitives/array-element";
export { Pointer } from "./primitives/pointer";
export { CalculationBubble } from "./primitives/calculation-bubble";
export { LinkedListNode } from "./primitives/linked-list-node";
export { LinkedListPointer } from "./primitives/linked-list-pointer";
// Data structures
export { ArrayView } from "./data-structures/array-view";
export { LinkedListView } from "./data-structures/linked-list-view";
// Algorithm visualizations
export { PrefixSumVisualization } from "./algorithms/prefix-sum";
export { TwoPointersVisualization } from "./algorithms/two-pointers";
export { LinkedListVisualization } from "./algorithms/linked-list";

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@@ -0,0 +1,64 @@
'use client';
import { motion } from 'framer-motion';
import { cn } from '@/lib/utils';
import type { LinkedListNodeState } from '@/lib/visualizations/types';
interface LinkedListNodeProps {
node: LinkedListNodeState;
isLast?: boolean;
className?: string;
}
const STATE_CLASSES = {
normal: 'bg-surface-variant border-border text-foreground',
highlighted: 'bg-primary/20 border-primary text-primary',
dimmed: 'bg-surface-variant/50 border-border/50 text-foreground-muted opacity-40',
success: 'bg-viz-success/20 border-viz-success text-viz-success',
comparing: 'bg-viz-compare/20 border-viz-compare text-viz-compare',
} as const;
export function LinkedListNode({
node,
isLast = false,
className,
}: LinkedListNodeProps) {
if (node.isNull) {
return (
<div className={cn('flex items-center', className)}>
<div className="flex h-10 items-center justify-center px-3 font-mono text-sm text-foreground-muted">
null
</div>
</div>
);
}
return (
<div className={cn('flex items-center', className)}>
<motion.div
layout
initial={false}
animate={{
scale: node.state === 'highlighted' ? 1.05 : 1,
}}
transition={{ duration: 0.2 }}
className={cn(
'flex h-10 w-10 items-center justify-center rounded-lg border-2 font-mono font-medium transition-colors duration-200',
STATE_CLASSES[node.state]
)}
>
{node.value}
</motion.div>
{!isLast && (
<motion.div
initial={{ opacity: 0 }}
animate={{ opacity: 1 }}
className="flex items-center"
>
<div className="h-0.5 w-4 bg-border" />
<div className="h-0 w-0 border-y-4 border-l-6 border-y-transparent border-l-border" />
</motion.div>
)}
</div>
);
}

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@@ -0,0 +1,59 @@
'use client';
import { motion } from 'framer-motion';
import { cn } from '@/lib/utils';
import type { LinkedListPointerState } from '@/lib/visualizations/types';
interface LinkedListPointerProps {
pointer: LinkedListPointerState;
nodeWidth: number;
arrowWidth: number;
/** Horizontal offset when multiple pointers at same position */
horizontalOffset?: number;
}
const COLOR_CLASSES = {
slow: 'text-viz-pointer-left',
fast: 'text-viz-pointer-right',
prev: 'text-viz-pointer-mid',
curr: 'text-viz-pointer-left',
next: 'text-viz-pointer-right',
default: 'text-viz-pointer-default',
} as const;
export function LinkedListPointer({
pointer,
nodeWidth,
arrowWidth,
horizontalOffset = 0,
}: LinkedListPointerProps) {
// Calculate x position based on node index, with offset for overlapping pointers
const x = pointer.nodeIndex * (nodeWidth + arrowWidth) + nodeWidth / 2 + horizontalOffset;
return (
<motion.div
initial={false}
animate={{ x: x - 12 }}
transition={{
type: 'spring',
stiffness: 300,
damping: 30,
}}
className={cn(
'absolute top-0 flex flex-col items-center',
COLOR_CLASSES[pointer.color]
)}
>
<span className="text-xs font-medium">{pointer.name}</span>
<svg
width="16"
height="12"
viewBox="0 0 16 12"
fill="currentColor"
className="mt-0.5"
>
<path d="M8 12L0 0h16L8 12z" />
</svg>
</motion.div>
);
}

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@@ -9,6 +9,10 @@ interface PointerProps {
elementWidth: number;
gap: number;
value?: number;
/** Hide the value to save space when pointers are close */
hideValue?: boolean;
/** Horizontal offset when multiple pointers at same position */
horizontalOffset?: number;
className?: string;
}
@@ -24,10 +28,12 @@ export function Pointer({
elementWidth,
gap,
value,
hideValue = false,
horizontalOffset = 0,
className,
}: PointerProps) {
// Calculate center of element: index * (width + gap) + width / 2
const offset = pointer.index * (elementWidth + gap) + elementWidth / 2;
// Calculate center of element: index * (width + gap) + width / 2, plus any offset for overlapping
const offset = pointer.index * (elementWidth + gap) + elementWidth / 2 + horizontalOffset;
return (
<motion.div
@@ -40,7 +46,7 @@ export function Pointer({
}}
className={cn("absolute top-0 h-full", className)}
>
{/* Label - centered above the point */}
{/* Label - centered above the arrow */}
<span
className={cn(
"absolute left-0 top-0 -translate-x-1/2 whitespace-nowrap rounded-full px-2 py-0.5 text-xs font-medium",
@@ -48,7 +54,7 @@ export function Pointer({
)}
>
{pointer.name}
{pointer.showValue && value !== undefined && (
{!hideValue && pointer.showValue && value !== undefined && (
<span className="ml-1 font-mono">= {value}</span>
)}
</span>

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@@ -0,0 +1,389 @@
import type { AlgorithmDefinition } from '@/lib/visualizations/types';
export const fastSlowPointersAlgorithm: AlgorithmDefinition = {
id: 'fast-slow-pointers',
title: 'Find Middle of Linked List',
slug: 'fast-slow-pointers',
pattern: {
name: 'Fast & Slow Pointers',
description: 'Use two pointers moving at different speeds to find cycle or middle',
},
problemStatement:
'Given a linked list, find the middle node. If there are two middle nodes, return the second one.',
intuition:
'If fast pointer moves twice as fast as slow, when fast reaches the end, slow will be at the middle.',
code: {
language: 'python',
code: `def find_middle(head):
slow = fast = head
while fast and fast.next:
slow = slow.next
fast = fast.next.next
return slow`,
},
steps: [
// Problem phase
{
id: 'step-1',
phase: 'problem',
explanation: 'We have a linked list: 1 → 2 → 3 → 4 → 5 → null. Find the middle node.',
dataState: {
arrays: [],
pointers: [],
variables: [],
calculations: [],
linkedLists: [
{
id: 'list',
nodes: [
{ id: 'n1', value: 1, index: 0, state: 'normal' },
{ id: 'n2', value: 2, index: 1, state: 'normal' },
{ id: 'n3', value: 3, index: 2, state: 'normal' },
{ id: 'n4', value: 4, index: 3, state: 'normal' },
{ id: 'n5', value: 5, index: 4, state: 'normal' },
{ id: 'null', value: 0, index: 5, state: 'normal', isNull: true },
],
},
],
linkedListPointers: [],
},
},
// Intuition phase
{
id: 'step-2',
phase: 'intuition',
explanation:
'The key insight: if one pointer moves 2x faster than another, when the fast one finishes, the slow one is halfway.',
dataState: {
arrays: [],
pointers: [],
variables: [],
calculations: [],
linkedLists: [
{
id: 'list',
nodes: [
{ id: 'n1', value: 1, index: 0, state: 'normal' },
{ id: 'n2', value: 2, index: 1, state: 'normal' },
{ id: 'n3', value: 3, index: 2, state: 'highlighted' },
{ id: 'n4', value: 4, index: 3, state: 'normal' },
{ id: 'n5', value: 5, index: 4, state: 'normal' },
{ id: 'null', value: 0, index: 5, state: 'normal', isNull: true },
],
},
],
linkedListPointers: [],
},
},
// Code phase
{
id: 'step-3',
phase: 'code',
explanation: 'Initialize both pointers at the head of the list.',
codeLine: 2,
dataState: {
arrays: [],
pointers: [],
variables: [
{ id: 'slow', name: 'slow', value: 'head' },
{ id: 'fast', name: 'fast', value: 'head' },
],
calculations: [],
linkedLists: [
{
id: 'list',
nodes: [
{ id: 'n1', value: 1, index: 0, state: 'highlighted' },
{ id: 'n2', value: 2, index: 1, state: 'normal' },
{ id: 'n3', value: 3, index: 2, state: 'normal' },
{ id: 'n4', value: 4, index: 3, state: 'normal' },
{ id: 'n5', value: 5, index: 4, state: 'normal' },
{ id: 'null', value: 0, index: 5, state: 'normal', isNull: true },
],
},
],
linkedListPointers: [
{ id: 'slow', name: 'slow', nodeIndex: 0, color: 'slow' },
{ id: 'fast', name: 'fast', nodeIndex: 0, color: 'fast' },
],
},
},
// Execution phase - iteration 1
{
id: 'step-4',
phase: 'execution',
explanation: 'Check: fast (node 1) exists and fast.next (node 2) exists. Enter loop.',
codeLine: 4,
decision: {
question: 'Is fast and fast.next valid?',
answer: 'Yes, both exist',
action: 'Enter the while loop',
},
dataState: {
arrays: [],
pointers: [],
variables: [
{ id: 'slow', name: 'slow', value: 'node 1' },
{ id: 'fast', name: 'fast', value: 'node 1' },
],
calculations: [],
linkedLists: [
{
id: 'list',
nodes: [
{ id: 'n1', value: 1, index: 0, state: 'highlighted' },
{ id: 'n2', value: 2, index: 1, state: 'normal' },
{ id: 'n3', value: 3, index: 2, state: 'normal' },
{ id: 'n4', value: 4, index: 3, state: 'normal' },
{ id: 'n5', value: 5, index: 4, state: 'normal' },
{ id: 'null', value: 0, index: 5, state: 'normal', isNull: true },
],
},
],
linkedListPointers: [
{ id: 'slow', name: 'slow', nodeIndex: 0, color: 'slow' },
{ id: 'fast', name: 'fast', nodeIndex: 0, color: 'fast' },
],
},
},
{
id: 'step-5',
phase: 'execution',
explanation: 'Move slow one step forward (1 → 2).',
codeLine: 5,
dataState: {
arrays: [],
pointers: [],
variables: [
{ id: 'slow', name: 'slow', value: 'node 2', previousValue: 'node 1' },
{ id: 'fast', name: 'fast', value: 'node 1' },
],
calculations: [],
linkedLists: [
{
id: 'list',
nodes: [
{ id: 'n1', value: 1, index: 0, state: 'dimmed' },
{ id: 'n2', value: 2, index: 1, state: 'highlighted' },
{ id: 'n3', value: 3, index: 2, state: 'normal' },
{ id: 'n4', value: 4, index: 3, state: 'normal' },
{ id: 'n5', value: 5, index: 4, state: 'normal' },
{ id: 'null', value: 0, index: 5, state: 'normal', isNull: true },
],
},
],
linkedListPointers: [
{ id: 'slow', name: 'slow', nodeIndex: 1, color: 'slow' },
{ id: 'fast', name: 'fast', nodeIndex: 0, color: 'fast' },
],
},
},
{
id: 'step-6',
phase: 'execution',
explanation: 'Move fast two steps forward (1 → 2 → 3).',
codeLine: 6,
dataState: {
arrays: [],
pointers: [],
variables: [
{ id: 'slow', name: 'slow', value: 'node 2' },
{ id: 'fast', name: 'fast', value: 'node 3', previousValue: 'node 1' },
],
calculations: [],
linkedLists: [
{
id: 'list',
nodes: [
{ id: 'n1', value: 1, index: 0, state: 'dimmed' },
{ id: 'n2', value: 2, index: 1, state: 'highlighted' },
{ id: 'n3', value: 3, index: 2, state: 'comparing' },
{ id: 'n4', value: 4, index: 3, state: 'normal' },
{ id: 'n5', value: 5, index: 4, state: 'normal' },
{ id: 'null', value: 0, index: 5, state: 'normal', isNull: true },
],
},
],
linkedListPointers: [
{ id: 'slow', name: 'slow', nodeIndex: 1, color: 'slow' },
{ id: 'fast', name: 'fast', nodeIndex: 2, color: 'fast' },
],
},
},
// Iteration 2
{
id: 'step-7',
phase: 'execution',
explanation: 'Check: fast (node 3) exists and fast.next (node 4) exists. Continue loop.',
codeLine: 4,
decision: {
question: 'Is fast and fast.next valid?',
answer: 'Yes, both exist',
action: 'Continue the while loop',
},
dataState: {
arrays: [],
pointers: [],
variables: [
{ id: 'slow', name: 'slow', value: 'node 2' },
{ id: 'fast', name: 'fast', value: 'node 3' },
],
calculations: [],
linkedLists: [
{
id: 'list',
nodes: [
{ id: 'n1', value: 1, index: 0, state: 'dimmed' },
{ id: 'n2', value: 2, index: 1, state: 'highlighted' },
{ id: 'n3', value: 3, index: 2, state: 'comparing' },
{ id: 'n4', value: 4, index: 3, state: 'normal' },
{ id: 'n5', value: 5, index: 4, state: 'normal' },
{ id: 'null', value: 0, index: 5, state: 'normal', isNull: true },
],
},
],
linkedListPointers: [
{ id: 'slow', name: 'slow', nodeIndex: 1, color: 'slow' },
{ id: 'fast', name: 'fast', nodeIndex: 2, color: 'fast' },
],
},
},
{
id: 'step-8',
phase: 'execution',
explanation: 'Move slow one step forward (2 → 3).',
codeLine: 5,
dataState: {
arrays: [],
pointers: [],
variables: [
{ id: 'slow', name: 'slow', value: 'node 3', previousValue: 'node 2' },
{ id: 'fast', name: 'fast', value: 'node 3' },
],
calculations: [],
linkedLists: [
{
id: 'list',
nodes: [
{ id: 'n1', value: 1, index: 0, state: 'dimmed' },
{ id: 'n2', value: 2, index: 1, state: 'dimmed' },
{ id: 'n3', value: 3, index: 2, state: 'highlighted' },
{ id: 'n4', value: 4, index: 3, state: 'normal' },
{ id: 'n5', value: 5, index: 4, state: 'normal' },
{ id: 'null', value: 0, index: 5, state: 'normal', isNull: true },
],
},
],
linkedListPointers: [
{ id: 'slow', name: 'slow', nodeIndex: 2, color: 'slow' },
{ id: 'fast', name: 'fast', nodeIndex: 2, color: 'fast' },
],
},
},
{
id: 'step-9',
phase: 'execution',
explanation: 'Move fast two steps forward (3 → 4 → 5).',
codeLine: 6,
dataState: {
arrays: [],
pointers: [],
variables: [
{ id: 'slow', name: 'slow', value: 'node 3' },
{ id: 'fast', name: 'fast', value: 'node 5', previousValue: 'node 3' },
],
calculations: [],
linkedLists: [
{
id: 'list',
nodes: [
{ id: 'n1', value: 1, index: 0, state: 'dimmed' },
{ id: 'n2', value: 2, index: 1, state: 'dimmed' },
{ id: 'n3', value: 3, index: 2, state: 'highlighted' },
{ id: 'n4', value: 4, index: 3, state: 'dimmed' },
{ id: 'n5', value: 5, index: 4, state: 'comparing' },
{ id: 'null', value: 0, index: 5, state: 'normal', isNull: true },
],
},
],
linkedListPointers: [
{ id: 'slow', name: 'slow', nodeIndex: 2, color: 'slow' },
{ id: 'fast', name: 'fast', nodeIndex: 4, color: 'fast' },
],
},
},
// Check and exit
{
id: 'step-10',
phase: 'execution',
explanation: 'Check: fast (node 5) exists but fast.next is null. Exit loop.',
codeLine: 4,
decision: {
question: 'Is fast and fast.next valid?',
answer: 'No, fast.next is null',
action: 'Exit the while loop',
},
dataState: {
arrays: [],
pointers: [],
variables: [
{ id: 'slow', name: 'slow', value: 'node 3' },
{ id: 'fast', name: 'fast', value: 'node 5' },
],
calculations: [],
linkedLists: [
{
id: 'list',
nodes: [
{ id: 'n1', value: 1, index: 0, state: 'dimmed' },
{ id: 'n2', value: 2, index: 1, state: 'dimmed' },
{ id: 'n3', value: 3, index: 2, state: 'highlighted' },
{ id: 'n4', value: 4, index: 3, state: 'dimmed' },
{ id: 'n5', value: 5, index: 4, state: 'comparing' },
{ id: 'null', value: 0, index: 5, state: 'normal', isNull: true },
],
},
],
linkedListPointers: [
{ id: 'slow', name: 'slow', nodeIndex: 2, color: 'slow' },
{ id: 'fast', name: 'fast', nodeIndex: 4, color: 'fast' },
],
},
},
// Return result
{
id: 'step-11',
phase: 'execution',
explanation: 'Return slow, which points to node 3 — the middle of the linked list!',
codeLine: 8,
dataState: {
arrays: [],
pointers: [],
variables: [
{ id: 'slow', name: 'slow', value: 'node 3' },
{ id: 'fast', name: 'fast', value: 'node 5' },
{ id: 'result', name: 'result', value: 3 },
],
calculations: [],
linkedLists: [
{
id: 'list',
nodes: [
{ id: 'n1', value: 1, index: 0, state: 'dimmed' },
{ id: 'n2', value: 2, index: 1, state: 'dimmed' },
{ id: 'n3', value: 3, index: 2, state: 'success' },
{ id: 'n4', value: 4, index: 3, state: 'dimmed' },
{ id: 'n5', value: 5, index: 4, state: 'dimmed' },
{ id: 'null', value: 0, index: 5, state: 'normal', isNull: true },
],
},
],
linkedListPointers: [
{ id: 'slow', name: 'slow', nodeIndex: 2, color: 'slow' },
],
},
},
],
};

View File

@@ -0,0 +1,515 @@
import type { AlgorithmDefinition } from '@/lib/visualizations/types';
export const linkedListReversalAlgorithm: AlgorithmDefinition = {
id: 'linkedlist-reversal',
title: 'Reverse a Linked List',
slug: 'linkedlist-reversal',
pattern: {
name: 'LinkedList Reversal',
description: 'Reverse links between nodes using three pointers',
},
problemStatement:
'Given a singly linked list, reverse it in-place and return the new head.',
intuition:
'Use three pointers (prev, curr, next) to reverse each link. Save next before breaking the link, then move forward.',
code: {
language: 'python',
code: `def reverse_list(head):
prev = None
curr = head
while curr:
next_node = curr.next
curr.next = prev
prev = curr
curr = next_node
return prev`,
},
steps: [
// Problem phase
{
id: 'step-1',
phase: 'problem',
explanation: 'We have a linked list: 1 → 2 → 3 → 4 → null. Reverse it to get 4 → 3 → 2 → 1 → null.',
dataState: {
arrays: [],
pointers: [],
variables: [],
calculations: [],
linkedLists: [
{
id: 'list',
nodes: [
{ id: 'n1', value: 1, index: 0, state: 'normal' },
{ id: 'n2', value: 2, index: 1, state: 'normal' },
{ id: 'n3', value: 3, index: 2, state: 'normal' },
{ id: 'n4', value: 4, index: 3, state: 'normal' },
{ id: 'null', value: 0, index: 4, state: 'normal', isNull: true },
],
},
],
linkedListPointers: [],
},
},
// Intuition phase
{
id: 'step-2',
phase: 'intuition',
explanation:
'Key insight: We need to reverse each arrow. To do this safely, save the next node before changing the link.',
dataState: {
arrays: [],
pointers: [],
variables: [],
calculations: [],
linkedLists: [
{
id: 'list',
nodes: [
{ id: 'n1', value: 1, index: 0, state: 'highlighted' },
{ id: 'n2', value: 2, index: 1, state: 'comparing' },
{ id: 'n3', value: 3, index: 2, state: 'normal' },
{ id: 'n4', value: 4, index: 3, state: 'normal' },
{ id: 'null', value: 0, index: 4, state: 'normal', isNull: true },
],
},
],
linkedListPointers: [],
},
},
// Code phase - initialization
{
id: 'step-3',
phase: 'code',
explanation: 'Initialize prev = None (nothing before head yet) and curr = head.',
codeLine: 2,
codeHighlightLines: [2, 3],
dataState: {
arrays: [],
pointers: [],
variables: [
{ id: 'prev', name: 'prev', value: 'None' },
{ id: 'curr', name: 'curr', value: 'node 1' },
],
calculations: [],
linkedLists: [
{
id: 'list',
nodes: [
{ id: 'n1', value: 1, index: 0, state: 'highlighted' },
{ id: 'n2', value: 2, index: 1, state: 'normal' },
{ id: 'n3', value: 3, index: 2, state: 'normal' },
{ id: 'n4', value: 4, index: 3, state: 'normal' },
{ id: 'null', value: 0, index: 4, state: 'normal', isNull: true },
],
},
],
linkedListPointers: [
{ id: 'curr', name: 'curr', nodeIndex: 0, color: 'curr' },
],
},
},
// Execution - iteration 1
{
id: 'step-4',
phase: 'execution',
explanation: 'Check: curr (node 1) exists. Enter the while loop.',
codeLine: 5,
decision: {
question: 'Is curr not None?',
answer: 'Yes, curr is node 1',
action: 'Enter the while loop',
},
dataState: {
arrays: [],
pointers: [],
variables: [
{ id: 'prev', name: 'prev', value: 'None' },
{ id: 'curr', name: 'curr', value: 'node 1' },
],
calculations: [],
linkedLists: [
{
id: 'list',
nodes: [
{ id: 'n1', value: 1, index: 0, state: 'highlighted' },
{ id: 'n2', value: 2, index: 1, state: 'normal' },
{ id: 'n3', value: 3, index: 2, state: 'normal' },
{ id: 'n4', value: 4, index: 3, state: 'normal' },
{ id: 'null', value: 0, index: 4, state: 'normal', isNull: true },
],
},
],
linkedListPointers: [
{ id: 'curr', name: 'curr', nodeIndex: 0, color: 'curr' },
],
},
},
{
id: 'step-5',
phase: 'execution',
explanation: 'Save next_node = curr.next (node 2). This preserves our forward reference.',
codeLine: 6,
dataState: {
arrays: [],
pointers: [],
variables: [
{ id: 'prev', name: 'prev', value: 'None' },
{ id: 'curr', name: 'curr', value: 'node 1' },
{ id: 'next', name: 'next', value: 'node 2' },
],
calculations: [],
linkedLists: [
{
id: 'list',
nodes: [
{ id: 'n1', value: 1, index: 0, state: 'highlighted' },
{ id: 'n2', value: 2, index: 1, state: 'comparing' },
{ id: 'n3', value: 3, index: 2, state: 'normal' },
{ id: 'n4', value: 4, index: 3, state: 'normal' },
{ id: 'null', value: 0, index: 4, state: 'normal', isNull: true },
],
},
],
linkedListPointers: [
{ id: 'curr', name: 'curr', nodeIndex: 0, color: 'curr' },
{ id: 'next', name: 'next', nodeIndex: 1, color: 'next' },
],
},
},
{
id: 'step-6',
phase: 'execution',
explanation: 'Reverse the link: curr.next = prev. Node 1 now points to None (backwards!).',
codeLine: 7,
dataState: {
arrays: [],
pointers: [],
variables: [
{ id: 'prev', name: 'prev', value: 'None' },
{ id: 'curr', name: 'curr', value: 'node 1' },
{ id: 'next', name: 'next', value: 'node 2' },
],
calculations: [],
linkedLists: [
{
id: 'list',
nodes: [
{ id: 'n1', value: 1, index: 0, state: 'success' },
{ id: 'n2', value: 2, index: 1, state: 'comparing' },
{ id: 'n3', value: 3, index: 2, state: 'normal' },
{ id: 'n4', value: 4, index: 3, state: 'normal' },
{ id: 'null', value: 0, index: 4, state: 'normal', isNull: true },
],
},
],
linkedListPointers: [
{ id: 'curr', name: 'curr', nodeIndex: 0, color: 'curr' },
{ id: 'next', name: 'next', nodeIndex: 1, color: 'next' },
],
},
},
{
id: 'step-7',
phase: 'execution',
explanation: 'Move prev forward: prev = curr. Now prev points to node 1.',
codeLine: 8,
dataState: {
arrays: [],
pointers: [],
variables: [
{ id: 'prev', name: 'prev', value: 'node 1', previousValue: 'None' },
{ id: 'curr', name: 'curr', value: 'node 1' },
{ id: 'next', name: 'next', value: 'node 2' },
],
calculations: [],
linkedLists: [
{
id: 'list',
nodes: [
{ id: 'n1', value: 1, index: 0, state: 'success' },
{ id: 'n2', value: 2, index: 1, state: 'comparing' },
{ id: 'n3', value: 3, index: 2, state: 'normal' },
{ id: 'n4', value: 4, index: 3, state: 'normal' },
{ id: 'null', value: 0, index: 4, state: 'normal', isNull: true },
],
},
],
linkedListPointers: [
{ id: 'prev', name: 'prev', nodeIndex: 0, color: 'prev' },
{ id: 'curr', name: 'curr', nodeIndex: 0, color: 'curr' },
{ id: 'next', name: 'next', nodeIndex: 1, color: 'next' },
],
},
},
{
id: 'step-8',
phase: 'execution',
explanation: 'Move curr forward: curr = next_node. Now curr points to node 2.',
codeLine: 9,
dataState: {
arrays: [],
pointers: [],
variables: [
{ id: 'prev', name: 'prev', value: 'node 1' },
{ id: 'curr', name: 'curr', value: 'node 2', previousValue: 'node 1' },
{ id: 'next', name: 'next', value: 'node 2' },
],
calculations: [],
linkedLists: [
{
id: 'list',
nodes: [
{ id: 'n1', value: 1, index: 0, state: 'success' },
{ id: 'n2', value: 2, index: 1, state: 'highlighted' },
{ id: 'n3', value: 3, index: 2, state: 'normal' },
{ id: 'n4', value: 4, index: 3, state: 'normal' },
{ id: 'null', value: 0, index: 4, state: 'normal', isNull: true },
],
},
],
linkedListPointers: [
{ id: 'prev', name: 'prev', nodeIndex: 0, color: 'prev' },
{ id: 'curr', name: 'curr', nodeIndex: 1, color: 'curr' },
],
},
},
// Iteration 2
{
id: 'step-9',
phase: 'execution',
explanation: 'Check: curr (node 2) exists. Continue loop.',
codeLine: 5,
decision: {
question: 'Is curr not None?',
answer: 'Yes, curr is node 2',
action: 'Continue the while loop',
},
dataState: {
arrays: [],
pointers: [],
variables: [
{ id: 'prev', name: 'prev', value: 'node 1' },
{ id: 'curr', name: 'curr', value: 'node 2' },
],
calculations: [],
linkedLists: [
{
id: 'list',
nodes: [
{ id: 'n1', value: 1, index: 0, state: 'success' },
{ id: 'n2', value: 2, index: 1, state: 'highlighted' },
{ id: 'n3', value: 3, index: 2, state: 'normal' },
{ id: 'n4', value: 4, index: 3, state: 'normal' },
{ id: 'null', value: 0, index: 4, state: 'normal', isNull: true },
],
},
],
linkedListPointers: [
{ id: 'prev', name: 'prev', nodeIndex: 0, color: 'prev' },
{ id: 'curr', name: 'curr', nodeIndex: 1, color: 'curr' },
],
},
},
{
id: 'step-10',
phase: 'execution',
explanation: 'Save next_node = curr.next (node 3).',
codeLine: 6,
dataState: {
arrays: [],
pointers: [],
variables: [
{ id: 'prev', name: 'prev', value: 'node 1' },
{ id: 'curr', name: 'curr', value: 'node 2' },
{ id: 'next', name: 'next', value: 'node 3' },
],
calculations: [],
linkedLists: [
{
id: 'list',
nodes: [
{ id: 'n1', value: 1, index: 0, state: 'success' },
{ id: 'n2', value: 2, index: 1, state: 'highlighted' },
{ id: 'n3', value: 3, index: 2, state: 'comparing' },
{ id: 'n4', value: 4, index: 3, state: 'normal' },
{ id: 'null', value: 0, index: 4, state: 'normal', isNull: true },
],
},
],
linkedListPointers: [
{ id: 'prev', name: 'prev', nodeIndex: 0, color: 'prev' },
{ id: 'curr', name: 'curr', nodeIndex: 1, color: 'curr' },
{ id: 'next', name: 'next', nodeIndex: 2, color: 'next' },
],
},
},
{
id: 'step-11',
phase: 'execution',
explanation: 'Reverse the link: curr.next = prev. Node 2 now points to node 1.',
codeLine: 7,
dataState: {
arrays: [],
pointers: [],
variables: [
{ id: 'prev', name: 'prev', value: 'node 1' },
{ id: 'curr', name: 'curr', value: 'node 2' },
{ id: 'next', name: 'next', value: 'node 3' },
],
calculations: [],
linkedLists: [
{
id: 'list',
nodes: [
{ id: 'n1', value: 1, index: 0, state: 'success' },
{ id: 'n2', value: 2, index: 1, state: 'success' },
{ id: 'n3', value: 3, index: 2, state: 'comparing' },
{ id: 'n4', value: 4, index: 3, state: 'normal' },
{ id: 'null', value: 0, index: 4, state: 'normal', isNull: true },
],
},
],
linkedListPointers: [
{ id: 'prev', name: 'prev', nodeIndex: 0, color: 'prev' },
{ id: 'curr', name: 'curr', nodeIndex: 1, color: 'curr' },
{ id: 'next', name: 'next', nodeIndex: 2, color: 'next' },
],
},
},
{
id: 'step-12',
phase: 'execution',
explanation: 'Move prev = curr, curr = next_node. Advance to process node 3.',
codeLine: 8,
codeHighlightLines: [8, 9],
dataState: {
arrays: [],
pointers: [],
variables: [
{ id: 'prev', name: 'prev', value: 'node 2', previousValue: 'node 1' },
{ id: 'curr', name: 'curr', value: 'node 3', previousValue: 'node 2' },
],
calculations: [],
linkedLists: [
{
id: 'list',
nodes: [
{ id: 'n1', value: 1, index: 0, state: 'success' },
{ id: 'n2', value: 2, index: 1, state: 'success' },
{ id: 'n3', value: 3, index: 2, state: 'highlighted' },
{ id: 'n4', value: 4, index: 3, state: 'normal' },
{ id: 'null', value: 0, index: 4, state: 'normal', isNull: true },
],
},
],
linkedListPointers: [
{ id: 'prev', name: 'prev', nodeIndex: 1, color: 'prev' },
{ id: 'curr', name: 'curr', nodeIndex: 2, color: 'curr' },
],
},
},
// Iteration 3 (condensed)
{
id: 'step-13',
phase: 'execution',
explanation: 'Process node 3: save next (node 4), reverse link (3→2), advance pointers.',
codeLine: 6,
codeHighlightLines: [6, 7, 8, 9],
dataState: {
arrays: [],
pointers: [],
variables: [
{ id: 'prev', name: 'prev', value: 'node 3', previousValue: 'node 2' },
{ id: 'curr', name: 'curr', value: 'node 4', previousValue: 'node 3' },
],
calculations: [],
linkedLists: [
{
id: 'list',
nodes: [
{ id: 'n1', value: 1, index: 0, state: 'success' },
{ id: 'n2', value: 2, index: 1, state: 'success' },
{ id: 'n3', value: 3, index: 2, state: 'success' },
{ id: 'n4', value: 4, index: 3, state: 'highlighted' },
{ id: 'null', value: 0, index: 4, state: 'normal', isNull: true },
],
},
],
linkedListPointers: [
{ id: 'prev', name: 'prev', nodeIndex: 2, color: 'prev' },
{ id: 'curr', name: 'curr', nodeIndex: 3, color: 'curr' },
],
},
},
// Iteration 4 (last node)
{
id: 'step-14',
phase: 'execution',
explanation: 'Process node 4: save next (null), reverse link (4→3), advance pointers.',
codeLine: 6,
codeHighlightLines: [6, 7, 8, 9],
dataState: {
arrays: [],
pointers: [],
variables: [
{ id: 'prev', name: 'prev', value: 'node 4', previousValue: 'node 3' },
{ id: 'curr', name: 'curr', value: 'None', previousValue: 'node 4' },
],
calculations: [],
linkedLists: [
{
id: 'list',
nodes: [
{ id: 'n1', value: 1, index: 0, state: 'success' },
{ id: 'n2', value: 2, index: 1, state: 'success' },
{ id: 'n3', value: 3, index: 2, state: 'success' },
{ id: 'n4', value: 4, index: 3, state: 'success' },
{ id: 'null', value: 0, index: 4, state: 'normal', isNull: true },
],
},
],
linkedListPointers: [
{ id: 'prev', name: 'prev', nodeIndex: 3, color: 'prev' },
],
},
},
// Exit and return
{
id: 'step-15',
phase: 'execution',
explanation: 'Check: curr is None. Exit loop. Return prev (node 4), the new head!',
codeLine: 11,
decision: {
question: 'Is curr not None?',
answer: 'No, curr is None',
action: 'Exit loop, return prev',
},
dataState: {
arrays: [],
pointers: [],
variables: [
{ id: 'prev', name: 'prev', value: 'node 4' },
{ id: 'curr', name: 'curr', value: 'None' },
{ id: 'result', name: 'result', value: 'node 4 (new head)' },
],
calculations: [],
linkedLists: [
{
id: 'list',
label: 'Reversed: 4 → 3 → 2 → 1 → null',
nodes: [
{ id: 'n4', value: 4, index: 0, state: 'success' },
{ id: 'n3', value: 3, index: 1, state: 'success' },
{ id: 'n2', value: 2, index: 2, state: 'success' },
{ id: 'n1', value: 1, index: 3, state: 'success' },
{ id: 'null', value: 0, index: 4, state: 'normal', isNull: true },
],
},
],
linkedListPointers: [],
},
},
],
};

View File

@@ -77,6 +77,11 @@ export interface DataState {
pointers: PointerState[];
variables: VariableState[];
calculations: CalculationState[];
// LinkedList support
linkedLists?: LinkedListState[];
linkedListPointers?: LinkedListPointerState[];
// Stack support
stacks?: StackState[];
}
/** Single step in the visualization */
@@ -152,3 +157,49 @@ export interface UseVisualizationReturn {
currentPhase: VisualizationPhase;
progress: number;
}
// ============================================
// LinkedList Types
// ============================================
/** State of a linked list node */
export interface LinkedListNodeState {
id: string;
value: number;
index: number;
state: 'normal' | 'highlighted' | 'dimmed' | 'success' | 'comparing';
isNull?: boolean;
}
/** Complete linked list state */
export interface LinkedListState {
id: string;
nodes: LinkedListNodeState[];
label?: string;
}
/** Pointer for linked list visualization */
export interface LinkedListPointerState {
id: string;
name: string;
nodeIndex: number;
color: 'slow' | 'fast' | 'prev' | 'curr' | 'next' | 'default';
}
// ============================================
// Stack Types
// ============================================
/** State of a stack element */
export interface StackElementState {
id: string;
value: number | string;
state: 'normal' | 'highlighted' | 'popped' | 'pushing';
}
/** Complete stack state */
export interface StackState {
id: string;
elements: StackElementState[];
label?: string;
}