Files
nonograms/src/utils/puzzleUtils.js

162 lines
5.1 KiB
JavaScript

export function calculateLineHints(line) {
const hints = [];
let currentRun = 0;
for (const cell of line) {
if (cell === 1) {
currentRun++;
} else {
if (currentRun > 0) {
hints.push(currentRun);
currentRun = 0;
}
}
}
if (currentRun > 0) {
hints.push(currentRun);
}
return hints.length > 0 ? hints : [0];
}
export function validateLine(line, targetHints) {
const currentHints = calculateLineHints(line);
if (currentHints.length !== targetHints.length) return false;
return currentHints.every((h, i) => h === targetHints[i]);
}
export function calculateHints(grid) {
if (!grid || grid.length === 0) return { rowHints: [], colHints: [] };
const size = grid.length;
const rowHints = [];
const colHints = [];
// Row Hints
for (let r = 0; r < size; r++) {
rowHints.push(calculateLineHints(grid[r]));
}
// Col Hints
for (let c = 0; c < size; c++) {
const col = [];
for (let r = 0; r < size; r++) {
col.push(grid[r][c]);
}
colHints.push(calculateLineHints(col));
}
return { rowHints, colHints };
}
export function generateRandomGrid(size, density = 0.5) {
const grid = [];
for (let i = 0; i < size; i++) {
const row = [];
for (let j = 0; j < size; j++) {
row.push(Math.random() < density ? 1 : 0);
}
grid.push(row);
}
return grid;
}
export function calculateDifficulty(density, size = 10) {
// Data derived from Monte Carlo Simulation (Logical Solver)
// Format: { size: [solved_pct_at_0.1, ..., solved_pct_at_0.9] }
const SIM_DATA = {
5: [86, 73, 74, 80, 88, 98, 99, 99, 100],
10: [57, 22, 19, 44, 86, 99, 100, 100, 100],
15: [37, 7, 2, 12, 70, 99, 100, 100, 100],
20: [23, 3, 0, 3, 40, 99, 100, 100, 100],
25: [13, 1, 0, 1, 19, 99, 100, 100, 100],
30: [8, 1, 0, 0, 4, 100, 100, 100, 100],
35: [5, 0, 0, 0, 3, 99, 100, 100, 100],
40: [3, 0, 0, 0, 1, 96, 100, 100, 100],
45: [2, 0, 0, 0, 1, 83, 100, 100, 100],
50: [1, 0, 0, 0, 0, 62, 100, 100, 100],
60: [0, 0, 0, 0, 0, 18, 100, 100, 100],
70: [0, 0, 0, 0, 0, 14, 100, 100, 100],
80: [0, 0, 0, 0, 0, 4, 100, 100, 100]
};
// Helper to get interpolated value from array
const getSimulatedSolvedPct = (s, d) => {
// Find closest sizes
const sizes = Object.keys(SIM_DATA).map(Number).sort((a, b) => a - b);
let sLower = sizes[0];
let sUpper = sizes[sizes.length - 1];
for (let i = 0; i < sizes.length - 1; i++) {
if (s >= sizes[i] && s <= sizes[i+1]) {
sLower = sizes[i];
sUpper = sizes[i+1];
break;
}
}
// Clamp density to 0.1 - 0.9
const dClamped = Math.max(0.1, Math.min(0.9, d));
// Index in array: 0.1 -> 0, 0.9 -> 8
const dIndex = (dClamped - 0.1) * 10;
const dLowerIdx = Math.floor(dIndex);
const dUpperIdx = Math.ceil(dIndex);
const dFraction = dIndex - dLowerIdx;
// Bilinear Interpolation
// 1. Interpolate Density for Lower Size
const rowLower = SIM_DATA[sLower];
const valLower = rowLower[dLowerIdx] * (1 - dFraction) + (rowLower[dUpperIdx] || rowLower[dLowerIdx]) * dFraction;
// 2. Interpolate Density for Upper Size
const rowUpper = SIM_DATA[sUpper];
const valUpper = rowUpper[dLowerIdx] * (1 - dFraction) + (rowUpper[dUpperIdx] || rowUpper[dLowerIdx]) * dFraction;
// 3. Interpolate Size
if (sLower === sUpper) return valLower;
const sFraction = (s - sLower) / (sUpper - sLower);
return valLower * (1 - sFraction) + valUpper * sFraction;
};
const solvedPct = getSimulatedSolvedPct(size, density);
let value;
let level;
// "Hardest" threshold is 99% solvability.
// We calculate a base value first, then adjust for solvability.
const densityFactor = 1 - 2 * Math.abs(density - 0.5);
const complexity = size * (0.4 + 0.6 * densityFactor);
if (solvedPct < 99) {
// Requires guessing / advanced logic.
// Base penalty for low solvability: 85 to 100
const penaltyBase = 85 + ((99 - solvedPct) / 99) * 15;
// Scale penalty by size.
// Small grids (e.g. 5x5) are trivial even if "unsolvable" by simple logic.
// Large grids (e.g. 20x20) are truly extreme if unsolvable.
const sizeFactor = Math.min(1, size / 20);
value = penaltyBase * sizeFactor;
// Ensure difficulty doesn't drop below structural complexity
value = Math.max(value, complexity);
} else {
// Solvable (>= 99%)
// Complexity based on Size and Density
// Max size 80.
// Formula: size * (0.4 + 0.6 * densityFactor)
value = Math.min(85, complexity);
}
if (value < 25) level = 'easy';
else if (value < 55) level = 'harder';
else if (value < 85) level = 'hardest';
else level = 'extreme';
return { level, value: Math.round(value) };
}