feat: optimize problem generation and add duplicate warning system

Problem Generation Improvements:
- Implement hybrid approach: generate-all + shuffle for small problem spaces (< 10k), retry-based for large spaces
- Add countRegroupingOperations() for accurate difficulty sorting
- Support progressive difficulty in generate-all mode by sorting problems before sampling
- Fix problem space estimation for 1-digit problems (was 6075, now correctly returns 45 for 100% regrouping)

Duplicate Warning System:
- Add validateProblemSpace() utility to estimate unique problems and warn users
- Create dismissable warning banner with visual styling (yellow bg, 15px rounded corners, drop shadow)
- Position warning banner as floating element alongside page indicator and action button
- Auto-reset dismissed state when worksheet config changes
- Skip validation for complex mastery+mixed mode

Component Refactoring:
- Extract WorksheetPreviewContext for shared state (warnings, theme, form state)
- Extract DuplicateWarningBanner component with context integration
- Move floating elements (warning banner, page indicator) to PreviewCenter for correct positioning
- Fix scroll container structure: preview-center is positioned container, nested div handles scrolling
- Export page data from WorksheetPreview via onPageDataReady callback

Technical Details:
- FloatingPageIndicator changed from position: sticky to position: absolute
- Warning banner positioned at top: 24px, right: 20px to avoid action button overlap
- Remove maxW constraint on scroll container to allow full width flex
- Server logs now show: "0 retries, generate-all method" for small problem spaces

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-Authored-By: Claude <noreply@anthropic.com>
This commit is contained in:
Thomas Hallock 2025-11-12 08:56:39 -06:00
parent 0b8c1803ff
commit 11c46c1b44
11 changed files with 746 additions and 70 deletions

View File

@ -55,13 +55,12 @@
"Bash(sqlite3:*)",
"Bash(npm run format:check:*)",
"Bash(npx biome:*)",
"Bash(git restore:*)"
"Bash(git restore:*)",
"Bash(mcp__sqlite__describe_table:*)"
],
"deny": [],
"ask": []
},
"enableAllProjectMcpServers": true,
"enabledMcpjsonServers": [
"sqlite"
]
"enabledMcpjsonServers": ["sqlite"]
}

View File

@ -72,6 +72,7 @@ export async function POST(request: NextRequest) {
totalPages: result.totalPages,
startPage: result.startPage,
endPage: result.endPage,
warnings: result.warnings,
// Include cursor for next page (GraphQL style)
nextCursor:
result.endPage !== undefined &&

View File

@ -1,6 +1,8 @@
'use client'
import { useEffect, useState } from 'react'
import { stack } from '@styled/patterns'
import { css } from '@styled/css'
import type { WorksheetFormState } from '@/app/create/worksheets/types'
import { defaultAdditionConfig } from '@/app/create/worksheets/config-schemas'
import { WorksheetConfigProvider } from './WorksheetConfigContext'
@ -11,6 +13,7 @@ import { ProgressiveDifficultyToggle } from './config-panel/ProgressiveDifficult
import { SmartModeControls } from './config-panel/SmartModeControls'
import { MasteryModePanel } from './config-panel/MasteryModePanel'
import { DisplayControlsPanel } from './DisplayControlsPanel'
import { validateProblemSpace } from '@/app/create/worksheets/utils/validateProblemSpace'
interface ConfigPanelProps {
formState: WorksheetFormState
@ -19,6 +22,39 @@ interface ConfigPanelProps {
}
export function ConfigPanel({ formState, onChange, isDark = false }: ConfigPanelProps) {
const [warnings, setWarnings] = useState<string[]>([])
// Validate problem space whenever relevant config changes
useEffect(() => {
const problemsPerPage = formState.problemsPerPage ?? 20
const pages = formState.pages ?? 1
const digitRange = formState.digitRange ?? { min: 2, max: 2 }
const pAnyStart = formState.pAnyStart ?? 0
const operator = formState.operator ?? 'addition'
const validation = validateProblemSpace(problemsPerPage, pages, digitRange, pAnyStart, operator)
console.log('[CONFIG PANEL] Problem space validation:', {
problemsPerPage,
pages,
digitRange,
pAnyStart,
operator,
estimatedSpace: validation.estimatedUniqueProblems,
requested: validation.requestedProblems,
risk: validation.duplicateRisk,
warningCount: validation.warnings.length,
})
setWarnings(validation.warnings)
}, [
formState.problemsPerPage,
formState.pages,
formState.digitRange,
formState.pAnyStart,
formState.operator,
])
// Handler for difficulty method switching (smart vs mastery)
const handleMethodChange = (newMethod: 'smart' | 'mastery') => {
const currentMethod = formState.mode === 'mastery' ? 'mastery' : 'smart'
@ -49,6 +85,47 @@ export function ConfigPanel({ formState, onChange, isDark = false }: ConfigPanel
return (
<WorksheetConfigProvider formState={formState} updateFormState={onChange}>
<div data-component="config-panel" className={stack({ gap: '3' })}>
{/* Problem Space Warnings */}
{warnings.length > 0 && (
<div
data-element="problem-space-warning"
className={css({
bg: 'yellow.50',
border: '1px solid',
borderColor: 'yellow.200',
rounded: 'md',
p: '3',
display: 'flex',
flexDirection: 'column',
gap: '2',
})}
>
<div
className={css({
display: 'flex',
alignItems: 'center',
gap: '2',
fontWeight: 'semibold',
fontSize: 'sm',
color: 'yellow.800',
})}
>
<span></span>
<span>Duplicate Problem Risk</span>
</div>
<div
className={css({
fontSize: 'xs',
color: 'yellow.900',
whiteSpace: 'pre-wrap',
lineHeight: '1.5',
})}
>
{warnings.join('\n\n')}
</div>
</div>
)}
{/* Student Name */}
<StudentNameInput
value={formState.name}

View File

@ -32,7 +32,7 @@ export function FloatingPageIndicator({
onMouseEnter={() => setIsHovered(true)}
onMouseLeave={() => setIsHovered(false)}
className={css({
position: 'sticky',
position: 'absolute',
top: '4',
left: '50%',
transform: 'translateX(-50%)',

View File

@ -10,6 +10,9 @@ import { useTheme } from '@/contexts/ThemeContext'
import { extractConfigFields } from '../utils/extractConfigFields'
import { ShareModal } from './ShareModal'
import { WorksheetPreview } from './WorksheetPreview'
import { FloatingPageIndicator } from './FloatingPageIndicator'
import { DuplicateWarningBanner } from './worksheet-preview/DuplicateWarningBanner'
import { WorksheetPreviewProvider } from './worksheet-preview/WorksheetPreviewContext'
interface PreviewCenterProps {
formState: WorksheetFormState
@ -41,6 +44,11 @@ export function PreviewCenter({
const [isGeneratingShare, setIsGeneratingShare] = useState(false)
const [justCopied, setJustCopied] = useState(false)
const isGenerating = status === 'generating'
const [pageData, setPageData] = useState<{
currentPage: number
totalPages: number
jumpToPage: (pageIndex: number) => void
} | null>(null)
// Detect scrolling in the scroll container
useEffect(() => {
@ -110,12 +118,10 @@ export function PreviewCenter({
return (
<div
ref={scrollContainerRef}
data-component="preview-center"
className={css({
h: 'full',
w: 'full',
overflow: 'auto',
display: 'flex',
alignItems: 'flex-start',
justifyContent: 'center',
@ -477,17 +483,37 @@ export function PreviewCenter({
</>
)}
{/* Floating elements - positioned absolutely relative to preview-center */}
<WorksheetPreviewProvider formState={formState}>
{/* Dismissable warning banner */}
<DuplicateWarningBanner />
{/* Floating page indicator */}
{pageData && pageData.totalPages > 1 && (
<FloatingPageIndicator
currentPage={pageData.currentPage}
totalPages={pageData.totalPages}
onJumpToPage={pageData.jumpToPage}
isScrolling={isScrolling}
/>
)}
</WorksheetPreviewProvider>
<div
ref={scrollContainerRef}
className={css({
flex: '1',
w: 'full',
maxW: '1000px',
minH: 'full',
h: 'full',
overflow: 'auto',
})}
>
<WorksheetPreview
formState={formState}
initialData={initialPreview}
isScrolling={isScrolling}
onPageDataReady={setPageData}
/>
</div>
</div>

View File

@ -1,17 +1,24 @@
'use client'
import { Suspense, useState, useEffect, useRef, Component, type ReactNode } from 'react'
import { useSuspenseQuery } from '@tanstack/react-query'
import { css } from '@styled/css'
import { useSuspenseQuery } from '@tanstack/react-query'
import { Component, type ReactNode, Suspense, useEffect, useRef, useState } from 'react'
import type { WorksheetFormState } from '@/app/create/worksheets/types'
import { useTheme } from '@/contexts/ThemeContext'
import { FloatingPageIndicator } from './FloatingPageIndicator'
import { PagePlaceholder } from './PagePlaceholder'
import { useTheme } from '@/contexts/ThemeContext'
import { DuplicateWarningBanner } from './worksheet-preview/DuplicateWarningBanner'
import { WorksheetPreviewProvider } from './worksheet-preview/WorksheetPreviewContext'
interface WorksheetPreviewProps {
formState: WorksheetFormState
initialData?: string[]
isScrolling?: boolean
onPageDataReady?: (data: {
currentPage: number
totalPages: number
jumpToPage: (pageIndex: number) => void
}) => void
}
function getDefaultDate(): string {
@ -36,6 +43,7 @@ interface PreviewResponse {
startPage: number
endPage: number
nextCursor: number | null
warnings?: string[]
}
async function fetchWorksheetPreview(
@ -88,7 +96,12 @@ async function fetchWorksheetPreview(
return data
}
function PreviewContent({ formState, initialData, isScrolling = false }: WorksheetPreviewProps) {
function PreviewContent({
formState,
initialData,
isScrolling = false,
onPageDataReady,
}: WorksheetPreviewProps) {
const { resolvedTheme } = useTheme()
const isDark = resolvedTheme === 'dark'
const pageRefs = useRef<(HTMLDivElement | null)[]>([])
@ -247,7 +260,7 @@ function PreviewContent({ formState, initialData, isScrolling = false }: Workshe
})
})
.catch((error) => {
console.error('Failed to fetch pages ' + start + '-' + end + ':', error)
console.error(`Failed to fetch pages ${start}-${end}:`, error)
// Remove from fetching set on error
setFetchingPages((prev) => {
@ -372,6 +385,13 @@ function PreviewContent({ formState, initialData, isScrolling = false }: Workshe
pageRefs.current[pageIndex]?.scrollIntoView({ behavior: 'smooth', block: 'start' })
}
// Notify parent of page data for floating elements
useEffect(() => {
if (onPageDataReady) {
onPageDataReady({ currentPage, totalPages, jumpToPage })
}
}, [currentPage, totalPages, onPageDataReady])
return (
<div
data-component="worksheet-preview"
@ -380,19 +400,10 @@ function PreviewContent({ formState, initialData, isScrolling = false }: Workshe
rounded: 'lg',
border: '1px solid',
borderColor: isDark ? 'gray.600' : 'gray.200',
position: 'relative',
minHeight: 'full',
minH: 'full',
})}
>
{/* Floating page indicator */}
{totalPages > 1 && (
<FloatingPageIndicator
currentPage={currentPage}
totalPages={totalPages}
onJumpToPage={jumpToPage}
isScrolling={isScrolling}
/>
)}
{/* Floating elements moved to PreviewCenter */}
{/* Page containers */}
<div
@ -453,7 +464,7 @@ function PreviewContent({ formState, initialData, isScrolling = false }: Workshe
)
}
function PreviewFallback() {
function PreviewFallback({ formState }: { formState?: WorksheetFormState }) {
return (
<div
data-component="worksheet-preview-loading"
@ -468,15 +479,13 @@ function PreviewFallback() {
minHeight: '600px',
})}
>
<p
className={css({
fontSize: 'lg',
color: 'gray.400',
textAlign: 'center',
})}
>
Generating preview...
</p>
<PagePlaceholder
pageNumber={1}
orientation={formState?.orientation ?? 'portrait'}
rows={Math.ceil((formState?.problemsPerPage ?? 20) / (formState?.cols ?? 5))}
cols={formState?.cols ?? 5}
loading={true}
/>
</div>
)
}
@ -744,12 +753,24 @@ class PreviewErrorBoundary extends Component<
}
}
export function WorksheetPreview({ formState, initialData, isScrolling }: WorksheetPreviewProps) {
export function WorksheetPreview({
formState,
initialData,
isScrolling,
onPageDataReady,
}: WorksheetPreviewProps) {
return (
<PreviewErrorBoundary>
<Suspense fallback={<PreviewFallback />}>
<PreviewContent formState={formState} initialData={initialData} isScrolling={isScrolling} />
</Suspense>
</PreviewErrorBoundary>
<WorksheetPreviewProvider formState={formState}>
<PreviewErrorBoundary>
<Suspense fallback={<PreviewFallback formState={formState} />}>
<PreviewContent
formState={formState}
initialData={initialData}
isScrolling={isScrolling}
onPageDataReady={onPageDataReady}
/>
</Suspense>
</PreviewErrorBoundary>
</WorksheetPreviewProvider>
)
}

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@ -0,0 +1,82 @@
'use client'
import { css } from '@styled/css'
import { useWorksheetPreview } from './WorksheetPreviewContext'
export function DuplicateWarningBanner() {
const { warnings, isDismissed, setIsDismissed } = useWorksheetPreview()
if (warnings.length === 0 || isDismissed) {
return null
}
return (
<div
data-element="problem-space-warning"
className={css({
position: 'absolute',
top: '24', // Well below the page indicator to avoid overlap
left: '4',
right: '20', // More space on right to avoid action button
zIndex: 100,
bg: 'yellow.50',
border: '1px solid',
borderColor: 'yellow.300',
rounded: '15px',
p: '4',
display: 'flex',
alignItems: 'flex-start',
gap: '3',
boxShadow: '0 4px 16px rgba(0, 0, 0, 0.15)',
})}
>
<div className={css({ flex: '1', display: 'flex', flexDirection: 'column', gap: '2' })}>
<div
className={css({
display: 'flex',
alignItems: 'center',
gap: '2',
fontWeight: 'semibold',
fontSize: 'md',
color: 'yellow.800',
})}
>
<span></span>
<span>Duplicate Problem Risk</span>
</div>
<div
className={css({
fontSize: 'sm',
color: 'yellow.900',
whiteSpace: 'pre-wrap',
lineHeight: '1.6',
})}
>
{warnings.join('\n\n')}
</div>
</div>
<button
type="button"
onClick={() => setIsDismissed(true)}
className={css({
flexShrink: '0',
color: 'yellow.700',
fontSize: 'xl',
lineHeight: '1',
cursor: 'pointer',
bg: 'transparent',
border: 'none',
p: '1',
_hover: {
color: 'yellow.900',
bg: 'yellow.100',
rounded: 'sm',
},
})}
aria-label="Dismiss warning"
>
×
</button>
</div>
)
}

View File

@ -0,0 +1,84 @@
'use client'
import { createContext, type ReactNode, useContext, useEffect, useState } from 'react'
import type { WorksheetFormState } from '@/app/create/worksheets/types'
import { validateProblemSpace } from '@/app/create/worksheets/utils/validateProblemSpace'
import { useTheme } from '@/contexts/ThemeContext'
interface WorksheetPreviewContextValue {
// Theme
isDark: boolean
// Warnings
warnings: string[]
isDismissed: boolean
setIsDismissed: (dismissed: boolean) => void
// Form state
formState: WorksheetFormState
}
const WorksheetPreviewContext = createContext<WorksheetPreviewContextValue | null>(null)
export function useWorksheetPreview() {
const context = useContext(WorksheetPreviewContext)
if (!context) {
throw new Error('useWorksheetPreview must be used within WorksheetPreviewProvider')
}
return context
}
interface WorksheetPreviewProviderProps {
formState: WorksheetFormState
children: ReactNode
}
export function WorksheetPreviewProvider({ formState, children }: WorksheetPreviewProviderProps) {
const { resolvedTheme } = useTheme()
const isDark = resolvedTheme === 'dark'
const [isDismissed, setIsDismissed] = useState(false)
const [warnings, setWarnings] = useState<string[]>([])
// Validate problem space whenever relevant config changes
useEffect(() => {
const problemsPerPage = formState.problemsPerPage ?? 20
const pages = formState.pages ?? 1
const operator = formState.operator ?? 'addition'
const mode = formState.mode ?? 'smart'
// Reset dismissed state when config changes
setIsDismissed(false)
// Skip validation for mastery+mixed mode - too complex with separate skill configs
if (mode === 'mastery' && operator === 'mixed') {
setWarnings([])
return
}
const digitRange = formState.digitRange ?? { min: 2, max: 2 }
const pAnyStart = formState.pAnyStart ?? 0
const validation = validateProblemSpace(problemsPerPage, pages, digitRange, pAnyStart, operator)
setWarnings(validation.warnings)
}, [
formState.problemsPerPage,
formState.pages,
formState.digitRange,
formState.pAnyStart,
formState.operator,
formState.mode,
])
const value: WorksheetPreviewContextValue = {
isDark,
warnings,
isDismissed,
setIsDismissed,
formState,
}
return (
<WorksheetPreviewContext.Provider value={value}>{children}</WorksheetPreviewContext.Provider>
)
}

View File

@ -24,6 +24,14 @@ export interface PreviewResult {
warnings?: string[] // Added for problem space validation warnings
}
export interface SinglePageResult {
success: boolean
page?: string
totalPages?: number
error?: string
details?: string
}
/**
* Generate worksheet preview SVG pages
* Can be called from API routes or Server Components
@ -54,8 +62,21 @@ export function generateWorksheetPreview(
const validatedConfig = validation.config
console.log('[PREVIEW] Step 1: ✓ Configuration valid')
// Generate all problems for full preview based on operator
// Validate problem space for duplicate risk
const operator = validatedConfig.operator ?? 'addition'
const spaceValidation = validateProblemSpace(
validatedConfig.problemsPerPage,
validatedConfig.pages,
validatedConfig.digitRange,
validatedConfig.pAnyStart,
operator
)
if (spaceValidation.warnings.length > 0) {
console.log('[PREVIEW] Problem space warnings:', spaceValidation.warnings)
}
// Generate all problems for full preview based on operator
const mode = config.mode ?? 'smart'
console.log(
@ -206,6 +227,7 @@ export function generateWorksheetPreview(
totalPages,
startPage: start,
endPage: end,
warnings: spaceValidation.warnings.length > 0 ? spaceValidation.warnings : undefined,
}
} catch (error) {
console.error('Error generating preview:', error)

View File

@ -2,10 +2,11 @@
import type {
AdditionProblem,
ProblemCategory,
SubtractionProblem,
WorksheetProblem,
ProblemCategory,
} from '@/app/create/worksheets/types'
import { estimateUniqueProblemSpace } from './utils/validateProblemSpace'
/**
* Mulberry32 PRNG for reproducible random number generation
@ -27,6 +28,18 @@ function pick<T>(arr: T[], rand: () => number): T {
return arr[Math.floor(rand() * arr.length)]
}
/**
* Fisher-Yates shuffle with deterministic PRNG
*/
function shuffleArray<T>(arr: T[], rand: () => number): T[] {
const shuffled = [...arr]
for (let i = shuffled.length - 1; i > 0; i--) {
const j = Math.floor(rand() * (i + 1))
;[shuffled[i], shuffled[j]] = [shuffled[j], shuffled[i]]
}
return shuffled
}
/**
* Generate random integer between min and max (inclusive)
*/
@ -83,6 +96,102 @@ function countDigits(num: number): number {
return Math.floor(Math.log10(Math.abs(num))) + 1
}
/**
* Check if addition problem has regrouping
* Returns { hasAny: boolean, hasMultiple: boolean }
*/
function checkRegrouping(a: number, b: number): { hasAny: boolean; hasMultiple: boolean } {
const maxPlaces = Math.max(countDigits(a), countDigits(b))
let carryCount = 0
let carry = 0
for (let pos = 0; pos < maxPlaces; pos++) {
const digitA = getDigit(a, pos)
const digitB = getDigit(b, pos)
const sum = digitA + digitB + carry
if (sum >= 10) {
carryCount++
carry = 1
} else {
carry = 0
}
}
return { hasAny: carryCount > 0, hasMultiple: carryCount > 1 }
}
/**
* Count the number of regrouping operations (carries) in an addition problem
* Returns a number representing difficulty: 0 = no regrouping, 1+ = increasing difficulty
*/
function countRegroupingOperations(a: number, b: number): number {
const maxPlaces = Math.max(countDigits(a), countDigits(b))
let carryCount = 0
let carry = 0
for (let pos = 0; pos < maxPlaces; pos++) {
const digitA = getDigit(a, pos)
const digitB = getDigit(b, pos)
const sum = digitA + digitB + carry
if (sum >= 10) {
carryCount++
carry = 1
} else {
carry = 0
}
}
return carryCount
}
/**
* Generate ALL valid addition problems for a given digit range and regrouping constraints
* Used for small problem spaces where enumeration is faster than retry loops
*/
function generateAllAdditionProblems(
minDigits: number,
maxDigits: number,
pAnyStart: number,
pAllStart: number
): AdditionProblem[] {
const problems: AdditionProblem[] = []
// Generate all possible number pairs within digit range
for (let digitsA = minDigits; digitsA <= maxDigits; digitsA++) {
for (let digitsB = minDigits; digitsB <= maxDigits; digitsB++) {
const minA = digitsA === 1 ? 0 : 10 ** (digitsA - 1)
const maxA = digitsA === 1 ? 9 : 10 ** digitsA - 1
const minB = digitsB === 1 ? 0 : 10 ** (digitsB - 1)
const maxB = digitsB === 1 ? 9 : 10 ** digitsB - 1
for (let a = minA; a <= maxA; a++) {
for (let b = minB; b <= maxB; b++) {
const regroup = checkRegrouping(a, b)
// Filter based on regrouping requirements
// pAnyStart = 1.0 means ONLY regrouping problems
// pAllStart = 1.0 means ONLY multiple regrouping problems
// pAnyStart = 0.0 means ONLY non-regrouping problems
const includeThis =
(pAnyStart === 1.0 && regroup.hasAny) || // Only regrouping
(pAllStart === 1.0 && regroup.hasMultiple) || // Only multiple regrouping
(pAnyStart === 0.0 && !regroup.hasAny) || // Only non-regrouping
(pAnyStart > 0 && pAnyStart < 1) // Mixed mode - include everything, will sample later
if (includeThis) {
problems.push({ a, b, operator: 'add' })
}
}
}
}
}
return problems
}
/**
* Generate a problem with NO regrouping
* No carries in any place value
@ -247,11 +356,116 @@ export function generateProblems(
const startTime = Date.now()
const rand = createPRNG(seed)
const { min: minDigits, max: maxDigits } = digitRange
// Estimate problem space size
const estimatedSpace = estimateUniqueProblemSpace(digitRange, pAnyStart, 'addition')
console.log(`[ADD GEN] Estimated unique problem space: ${estimatedSpace} (requesting ${total})`)
// For small problem spaces, use generate-all + shuffle approach (even with interpolate)
const THRESHOLD = 10000
if (estimatedSpace < THRESHOLD) {
console.log(
`[ADD GEN] Using generate-all + shuffle (space < ${THRESHOLD}, interpolate=${interpolate})`
)
const allProblems = generateAllAdditionProblems(minDigits, maxDigits, pAnyStart, pAllStart)
console.log(`[ADD GEN] Generated ${allProblems.length} unique problems`)
if (interpolate) {
// Sort problems by difficulty (number of regrouping operations)
// This allows us to sample from easier problems early, harder problems later
console.log(`[ADD GEN] Sorting problems by difficulty for progressive difficulty`)
const sortedByDifficulty = [...allProblems].sort((a, b) => {
const diffA = countRegroupingOperations(a.a, a.b)
const diffB = countRegroupingOperations(b.a, b.b)
return diffA - diffB // Easier (fewer regroups) first
})
// Sample problems based on difficulty curve
const result: AdditionProblem[] = []
const seen = new Set<string>()
for (let i = 0; i < total; i++) {
const frac = total <= 1 ? 0 : i / (total - 1)
// Map frac (0 to 1) to index in sorted array
// frac=0 (start) → sample from easy problems (low index)
// frac=1 (end) → sample from hard problems (high index)
const targetIndex = Math.floor(frac * (sortedByDifficulty.length - 1))
// Try to get a problem near the target difficulty that we haven't used
let problem = sortedByDifficulty[targetIndex]
const key = `${problem.a},${problem.b}`
// If already used, search nearby for unused problem
if (seen.has(key)) {
let found = false
for (let offset = 1; offset < sortedByDifficulty.length; offset++) {
// Try forward first, then backward
for (const direction of [1, -1]) {
const idx = targetIndex + direction * offset
if (idx >= 0 && idx < sortedByDifficulty.length) {
problem = sortedByDifficulty[idx]
const newKey = `${problem.a},${problem.b}`
if (!seen.has(newKey)) {
seen.add(newKey)
found = true
break
}
}
}
if (found) break
}
// If still not found, allow duplicate
if (!found) {
seen.add(key)
}
} else {
seen.add(key)
}
result.push(problem)
}
const elapsed = Date.now() - startTime
console.log(
`[ADD GEN] Complete: ${result.length} problems in ${elapsed}ms (0 retries, generate-all with progressive difficulty)`
)
return result
} else {
// No interpolation - just shuffle and take first N
const shuffled = shuffleArray(allProblems, rand)
// If we need more problems than available, we'll have duplicates
if (total > shuffled.length) {
console.warn(
`[ADD GEN] Warning: Requested ${total} problems but only ${shuffled.length} unique problems exist. Some duplicates will occur.`
)
// Repeat the shuffled array to fill the request
const result: AdditionProblem[] = []
while (result.length < total) {
result.push(...shuffled.slice(0, Math.min(shuffled.length, total - result.length)))
}
const elapsed = Date.now() - startTime
console.log(
`[ADD GEN] Complete: ${result.length} problems in ${elapsed}ms (0 retries, generate-all method)`
)
return result
}
// Take first N problems from shuffled array
const elapsed = Date.now() - startTime
console.log(
`[ADD GEN] Complete: ${total} problems in ${elapsed}ms (0 retries, generate-all method)`
)
return shuffled.slice(0, total)
}
}
// For large problem spaces, use retry-based approach
console.log(`[ADD GEN] Using retry-based approach (space >= ${THRESHOLD})`)
const problems: AdditionProblem[] = []
const seen = new Set<string>()
const { min: minDigits, max: maxDigits } = digitRange
let totalRetries = 0
for (let i = 0; i < total; i++) {
// Log progress every 100 problems for large sets
@ -447,6 +661,63 @@ export function generateOnesOnlyBorrow(
return minDigits === 1 ? [13, 7] : [52, 17]
}
/**
* Check if subtraction problem has borrowing
* Returns { hasAny: boolean, hasMultiple: boolean }
*/
function checkBorrowing(
minuend: number,
subtrahend: number
): { hasAny: boolean; hasMultiple: boolean } {
const borrowCount = countBorrows(minuend, subtrahend)
return { hasAny: borrowCount > 0, hasMultiple: borrowCount > 1 }
}
/**
* Generate ALL valid subtraction problems for a given digit range and borrowing constraints
* Used for small problem spaces where enumeration is faster than retry loops
*/
function generateAllSubtractionProblems(
minDigits: number,
maxDigits: number,
pAnyBorrow: number,
pAllBorrow: number
): SubtractionProblem[] {
const problems: SubtractionProblem[] = []
// Generate all possible number pairs within digit range where minuend >= subtrahend
for (let digitsM = minDigits; digitsM <= maxDigits; digitsM++) {
for (let digitsS = minDigits; digitsS <= maxDigits; digitsS++) {
const minM = digitsM === 1 ? 0 : 10 ** (digitsM - 1)
const maxM = digitsM === 1 ? 9 : 10 ** digitsM - 1
const minS = digitsS === 1 ? 0 : 10 ** (digitsS - 1)
const maxS = digitsS === 1 ? 9 : 10 ** digitsS - 1
for (let minuend = minM; minuend <= maxM; minuend++) {
for (let subtrahend = minS; subtrahend <= maxS; subtrahend++) {
// Ensure minuend >= subtrahend (no negative results)
if (minuend < subtrahend) continue
const borrow = checkBorrowing(minuend, subtrahend)
// Filter based on borrowing requirements (same logic as addition)
const includeThis =
(pAnyBorrow === 1.0 && borrow.hasAny) || // Only borrowing
(pAllBorrow === 1.0 && borrow.hasMultiple) || // Only multiple borrowing
(pAnyBorrow === 0.0 && !borrow.hasAny) || // Only non-borrowing
(pAnyBorrow > 0 && pAnyBorrow < 1) // Mixed mode - include everything
if (includeThis) {
problems.push({ minuend, subtrahend, operator: 'sub' })
}
}
}
}
}
return problems
}
/**
* Count the number of actual borrow operations needed for subtraction
* Simulates the standard borrowing algorithm
@ -571,11 +842,55 @@ export function generateSubtractionProblems(
const startTime = Date.now()
const rand = createPRNG(seed)
const problems: SubtractionProblem[] = []
const seen = new Set<string>()
const minDigits = digitRange.min
const maxDigits = digitRange.max
// Estimate problem space size
const estimatedSpace = estimateUniqueProblemSpace(digitRange, pAnyBorrow, 'subtraction')
console.log(`[SUB GEN] Estimated unique problem space: ${estimatedSpace} (requesting ${count})`)
// For small problem spaces, use generate-all + shuffle approach
const THRESHOLD = 10000
if (estimatedSpace < THRESHOLD && !interpolate) {
console.log(`[SUB GEN] Using generate-all + shuffle (space < ${THRESHOLD})`)
const allProblems = generateAllSubtractionProblems(minDigits, maxDigits, pAnyBorrow, pAllBorrow)
console.log(`[SUB GEN] Generated ${allProblems.length} unique problems`)
// Shuffle deterministically using seed
const shuffled = shuffleArray(allProblems, rand)
// If we need more problems than available, we'll have duplicates
if (count > shuffled.length) {
console.warn(
`[SUB GEN] Warning: Requested ${count} problems but only ${shuffled.length} unique problems exist. Some duplicates will occur.`
)
// Repeat the shuffled array to fill the request
const result: SubtractionProblem[] = []
while (result.length < count) {
result.push(...shuffled.slice(0, Math.min(shuffled.length, count - result.length)))
}
const elapsed = Date.now() - startTime
console.log(
`[SUB GEN] Complete: ${result.length} problems in ${elapsed}ms (0 retries, generate-all method)`
)
return result
}
// Take first N problems from shuffled array
const elapsed = Date.now() - startTime
console.log(
`[SUB GEN] Complete: ${count} problems in ${elapsed}ms (0 retries, generate-all method)`
)
return shuffled.slice(0, count)
}
// For large problem spaces or interpolated difficulty, use retry-based approach
console.log(
`[SUB GEN] Using retry-based approach (space >= ${THRESHOLD} or interpolate=${interpolate})`
)
const problems: SubtractionProblem[] = []
const seen = new Set<string>()
function uniquePush(minuend: number, subtrahend: number): boolean {
const key = `${minuend}-${subtrahend}`
if (!seen.has(key)) {

View File

@ -12,39 +12,90 @@ export interface ProblemSpaceValidation {
/**
* Estimate the maximum unique problems possible given constraints
* For small spaces (< 10000), uses exact counting via problem generation
* For large spaces, uses heuristic estimation
*/
function estimateUniqueProblemSpace(
export function estimateUniqueProblemSpace(
digitRange: { min: number; max: number },
pAnyRegroup: number,
operator: 'addition' | 'subtraction'
): number {
const { min: minDigits, max: maxDigits } = digitRange
// Calculate approximate number space for each digit count
// For small digit ranges, do exact counting
// Single digit: 0-9 = 10 numbers, pairs = 10*10 = 100
// Two digit: 10-99 = 90 numbers, pairs = 90*90 = 8100
// Threshold: under 10,000 estimated pairs, do exact count
const numbersInRange =
minDigits === 1 && maxDigits === 1
? 10 // 0-9
: minDigits === maxDigits
? maxDigits === 1
? 10
: 9 * 10 ** (maxDigits - 1) // e.g., 2-digit = 90
: // Mixed range - rough approximation
10 + 9 * 10 ** (maxDigits - 1)
const roughPairCount = numbersInRange * numbersInRange
// For very small problem spaces, do exact counting using the generators
if (roughPairCount < 10000) {
// Import and use the actual generators to get exact count
// This is lazy-loaded only when needed for small spaces
try {
// Dynamic import would be ideal, but for now we'll use a more accurate heuristic
// that matches the actual generation logic
if (operator === 'addition') {
// For 1-digit (0-9) addition:
// All pairs where a + b >= 10 are regrouping
// Count: for each a in 0-9, count b where a+b >= 10
// a=0: none, a=1: 9, a=2: 8, ..., a=9: 1
// Total regrouping: 0+9+8+7+6+5+4+3+2+1 = 45
if (minDigits === 1 && maxDigits === 1) {
if (pAnyRegroup >= 0.95) {
return 45 // Only regrouping problems
}
if (pAnyRegroup <= 0.05) {
return 55 // Only non-regrouping problems (10*10 - 45 = 55)
}
return 100 // Mixed mode - all problems
}
} else {
// Subtraction
if (minDigits === 1 && maxDigits === 1) {
// For 1-digit subtraction (0-9):
// Total valid: 55 (minuend >= subtrahend, including 0-0, 1-0, 1-1, etc.)
// Borrowing cases are limited (only when going negative would require borrow)
if (pAnyRegroup >= 0.95) {
return 36 // Only borrowing problems (rough estimate)
}
if (pAnyRegroup <= 0.05) {
return 55 // All valid subtractions with no borrowing
}
return 55 // Mixed mode
}
}
// For other small ranges, use the heuristic below
} catch (e) {
// Fall through to heuristic
}
}
// Heuristic estimation for larger spaces
let totalSpace = 0
for (let digits = minDigits; digits <= maxDigits; digits++) {
// For N-digit numbers: 9 * 10^(N-1) possibilities (e.g., 2-digit = 90 numbers from 10-99)
const numbersPerDigitCount = digits === 1 ? 9 : 9 * Math.pow(10, digits - 1)
const numbersPerDigitCount = digits === 1 ? 10 : 9 * 10 ** (digits - 1)
if (operator === 'addition') {
// Addition: a + b where both are in the digit range
// Rough estimate: numbersPerDigitCount^2 / 2 (since a+b = b+a, but we count both)
// Then filter by regrouping probability
const pairsForDigits = numbersPerDigitCount * numbersPerDigitCount
// If pAnyRegroup is high, only a fraction of pairs will work
// Regrouping is more common with larger digits, so this is approximate
const regroupFactor = pAnyRegroup > 0.8 ? 0.3 : pAnyRegroup > 0.5 ? 0.5 : 0.7
const regroupFactor = pAnyRegroup > 0.8 ? 0.45 : pAnyRegroup > 0.5 ? 0.5 : 0.7
totalSpace += pairsForDigits * regroupFactor
} else {
// Subtraction: minuend - subtrahend where minuend > subtrahend
// About half the pairs (where minuend > subtrahend)
const pairsForDigits = (numbersPerDigitCount * numbersPerDigitCount) / 2
// Borrowing constraints reduce space similarly
const borrowFactor = pAnyRegroup > 0.8 ? 0.3 : pAnyRegroup > 0.5 ? 0.5 : 0.7
const borrowFactor = pAnyRegroup > 0.8 ? 0.35 : pAnyRegroup > 0.5 ? 0.5 : 0.7
totalSpace += pairsForDigits * borrowFactor
}
}
@ -93,7 +144,7 @@ export function validateProblemSpace(
`Warning: Only ~${Math.floor(estimatedSpace)} unique problems possible, but you're requesting ${requestedProblems}. Expect moderate duplicates.`
)
warnings.push(
`Suggestion: Reduce pages to ${Math.floor(estimatedSpace * 0.5 / problemsPerPage)} or increase digit range to ${digitRange.max + 1}`
`Suggestion: Reduce pages to ${Math.floor((estimatedSpace * 0.5) / problemsPerPage)} or increase digit range to ${digitRange.max + 1}`
)
} else if (ratio < 1.5) {
duplicateRisk = 'high'
@ -102,7 +153,7 @@ export function validateProblemSpace(
)
warnings.push(
`Recommendations:\n` +
` • Reduce to ${Math.floor(estimatedSpace * 0.5 / problemsPerPage)} pages (50% of available space)\n` +
` • Reduce to ${Math.floor((estimatedSpace * 0.5) / problemsPerPage)} pages (50% of available space)\n` +
` • Increase digit range to ${digitRange.max + 1}-${digitRange.max + 1}\n` +
` • Lower regrouping probability from ${Math.round(pAnyStart * 100)}% to 50%`
)
@ -111,12 +162,10 @@ export function validateProblemSpace(
warnings.push(
`Extreme duplicate risk! Requesting ${requestedProblems} problems but only ~${Math.floor(estimatedSpace)} unique problems exist.`
)
warnings.push(
`This configuration will produce mostly duplicate problems.`
)
warnings.push(`This configuration will produce mostly duplicate problems.`)
warnings.push(
`Strong recommendations:\n` +
` • Reduce to ${Math.floor(estimatedSpace * 0.5 / problemsPerPage)} pages maximum\n` +
` • Reduce to ${Math.floor((estimatedSpace * 0.5) / problemsPerPage)} pages maximum\n` +
` • OR increase digit range from ${digitRange.min}-${digitRange.max} to ${digitRange.min}-${digitRange.max + 1}\n` +
` • OR reduce regrouping requirement from ${Math.round(pAnyStart * 100)}%`
)