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sudoku_embed.html
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sudoku_embed.html
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<!DOCTYPE html>
<html>
<head>
<title>Sudoku</title>
<link rel="icon" href="res/favicon.ico">
<script>
// TODO:
// - Mobile
// - Undo/redo
// - Push/pop
const kSolved = 1;
const kUnsolved = 0;
const kBroken = -1;
const kValueDisplay = [
"1", "2", "3", "4", "5", "6", "7", "8", "9", "0", "A", "B", "C", "D", "E",
"F", "G", "H", "I", "J", "K", "L", "M", "N", "O", "P", "Q", "R", "S", "T",
"U", "V", "W", "X", "Y", "Z",
];
const kValueKey = [
"1", "2", "3", "4", "5", "6", "7", "8", "9", "0", "a", "b", "c", "d", "e",
"f", "g", "h", "i", "j", "k", "l", "m", "n", "o", "p", "q", "r", "s", "t",
"u", "v", "w", "x", "y", "z",
];
const kKeyClearCell = " ";
const kKeyDirs = new Map([
["ArrowRight", [0, 1]], ["ArrowUp", [-1, 0]],
["ArrowLeft", [0, -1]], ["ArrowDown", [1, 0]]]);
const kB64 = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789-=";
function encodeArray(a) {
let x = 0;
let r = 0;
let s = "";
const add = () => { s += kB64[x]; };
for (const b of a) {
x <<= 1;
if (b) x |= 1;
++r;
if (r == 6) {
add();
r = x = 0;
}
}
if (r) {
for (; r < 6; ++r) x <<= 1;
add();
}
return s;
}
const kB64i = ((s) => {
const m = new Map();
for (let i = 0; i < s.length; ++i) m.set(s[i], i);
return m;
})(kB64);
function decodeArray(s, n) {
if (s.length != Math.ceil(n / 6)) return null;
const a = [];
for (const c of s) {
if (!kB64i.has(c)) return null;
const x = kB64i.get(c);
for (let i = 5; i >= 0; --i) {
a.push((x & (1 << i)) != 0);
if (a.length >= n) {
if ((x & ((1 << i) - 1)) != 0) return null;
break;
}
}
}
console.assert(a.length == n);
return a;
}
function getParams() {
let q = window.location.search;
if (q.startsWith("?")) q = q.substr(1);
const p = new Map();
for (const kv of q.split("&")) {
const i = kv.indexOf("=");
if (i == -1) continue;
p.set(kv.substr(0, i), kv.substr(i + 1));
}
return p;
}
function numSan(x, valueIfNaN = 0) {
const y = parseInt(x);
return (isFinite(y) && !isNaN(y)) ? y : valueIfNaN;
}
const kParams = getParams();
const kDifficulty = numSan(kParams.get("d"), Infinity);
// Width of a block. Num blocks stacked vertically.
const kX = numSan(kParams.get("h"), 3);
// Height of a block. Num blocks stacked horizontally.
const kY = numSan(kParams.get("w"), 3);
const kN = kX * kY; // Total width/height. Num cells in block. Num numbers.
const kNN = kN * kN; // Total cells in puzzle.
const kNNN = kNN * kN; // Size of puzzle state.
function makeArray(n, v) {
const a = [];
for (let i = 0; i < n; ++i) a.push(v);
return a;
}
function makeCountArray(n) {
const a = [];
for (let i = 0; i < n; ++i) a.push(i);
return a;
}
function shuffle(a) {
for (let i = 0; i < a.length; ++i) {
const r = Math.floor(i + Math.random() * (a.length - i));
const t = a[i];
a[i] = a[r];
a[r] = t;
}
}
function permutation(n) {
const a = makeCountArray(n);
shuffle(a);
return a;
}
function blockyPermutation(blockSize, numBlocks) {
const block = permutation(numBlocks);
let cell = makeCountArray(blockSize);
const a = makeArray(blockSize * numBlocks, 0);
for (let i = 0; i < a.length; ++i) {
if (i % blockSize == 0) shuffle(cell);
a[blockSize * block[Math.floor(i / blockSize)] + cell[i % blockSize]] = i;
}
return a;
}
class Ui {
constructor() {
this.wrap = document.getElementById("wrap");
this.s = null;
this.selected = null;
this.resizables = new Map();
this.gridSize = 0;
this.cellSize = 0;
this.numSize = 0;
this.multiCellSize = 0;
this.multiNumSize = 0;
this.cells = [];
this.grid = null;
this.messageBox = null;
this.messageBoxTimeout = null;
this.frozen = false;
this.loading = document.getElementById("loading");
this.loadingBarFilled = document.getElementById("loading_bar_filled");
// Create UI.
this.grid = this.make(["grid", "hidden"], () => {
this.grid.style.width = this.grid.style.height = this.gridSize + "px";
});
const flip = (i, j) => (i % 2) ^ (j % 2);
for (let i = 0; i < kN; ++i) {
this.cells.push([]);
for (let j = 0; j < kN; ++j) {
const d = flip(i, j) +
2 * flip(Math.floor(i / kY), Math.floor(j / kX));
const n = this.make(["c" + d], n => {
n.style.width = n.style.height = this.cellSize + "px";
n.style.fontSize = this.numSize + "px";
});
n.onclick = () => { this.selectCell({i, j}); };
this.cells[i][j] = n;
this.grid.appendChild(n);
}
}
this.wrap.appendChild(this.grid);
this.messageBox = this.make(["message", "hidden"], n => {
n.style.width = "100%";
const size = 0.3 * this.gridSize;
n.style.top = (0.5 * (this.gridSize - size)) + "px";
n.style.height = n.style.lineHeight = size + "px";
n.style.fontSize = (0.3 * size) + "px";
});
this.wrap.appendChild(this.messageBox);
// Event listeners.
window.addEventListener("keydown", e => this.onKeyDown(e));
window.addEventListener("resize", e => this.onResize());
window.setTimeout(() => this.newPuzzle(true), 0);
}
make(classes, onResize = null) {
const n = document.createElement("div");
for (const cls of classes) n.classList.add(cls);
if (onResize) {
n.style.width = n.style.height = "0px";
this.resizables.set(n, () => onResize(n));
}
return n;
}
async newPuzzle(first) {
let s = null;
if (first) s = Sudoku.tryLoadFromStorage(window.localStorage);
if (s == null) s = await Sudoku.genPuzzle(prog => this.setLoading(prog));
this.s = s;
this.frozen = false;
this.refresh();
}
setLoading(prog) {
this.loading.classList.remove("hidden");
this.grid.classList.add("hidden");
this.loadingBarFilled.style.width = (100 * prog) + "%";
}
refresh() {
if (this.frozen || this.s == null) return;
this.grid.classList.remove("hidden");
this.loading.classList.add("hidden");
this.s.forEachCell((i, j, vals, given) => {
const c = this.cells[i][j];
while (c.hasChildNodes()) {
this.resizables.delete(c.lastChild);
c.removeChild(c.lastChild);
}
const multi = vals.reduce((x, y) => x + y) > 1;
for (let k = 0; k < vals.length; ++k) {
if (vals[k] || multi) {
const n = this.make(["num"], multi ? () => {
n.style.width = n.style.height = this.multiCellSize + "px";
n.style.fontSize = this.multiNumSize + "px";
} : null);
if (vals[k]) n.innerText = kValueDisplay[k];
if (given) n.classList.add("given");
if (multi) n.classList.add("multi");
c.appendChild(n);
}
}
});
if (this.s.getStatus() == kSolved) {
this.s.clearStorage(window.localStorage);
this.grid.classList.add("solved");
this.selectCell(null);
this.frozen = true;
this.message("You solved it! :)", 10, () => {
this.grid.classList.remove("solved");
window.setTimeout(() => this.newPuzzle(false), 0);
});
} else {
if (this.s.anyUngivenState()) {
this.s.storePuzzle(window.localStorage);
} else {
this.s.clearStorage(window.localStorage);
}
}
this.onResize();
}
message(msg, seconds = 3, onHide = null) {
if (this.messageBoxTimeout !== null) {
window.clearTimeout(this.messageBoxTimeout);
this.messageBoxTimeout = null;
}
this.messageBox.innerText = msg;
this.messageBox.classList.remove("hidden");
this.messageBoxTimeout = window.setTimeout(() => {
this.messageBox.classList.add("hidden");
onHide();
}, seconds * 1e3);
}
selectCell(sel) {
if (this.frozen) return;
if (this.selected != null) {
this.cells[this.selected.i][this.selected.j].classList.remove("selected");
}
this.selected = sel;
if (this.selected != null) {
this.cells[this.selected.i][this.selected.j].classList.add("selected");
}
}
onKeyDown(e) {
if (this.onKeyDownImpl(e.key)) e.preventDefault();
}
onKeyDownImpl(key) {
if (this.frozen || this.selected == null || this.s == null) return false;
if (key == kKeyClearCell) {
this.s.toggleClearCell(this.selected.i, this.selected.j);
this.refresh();
return true;
}
if (kKeyDirs.has(key)) {
const [di, dj] = kKeyDirs.get(key);
this.selectCell({
i: (this.selected.i + di + kN) % kN,
j: (this.selected.j + dj + kN) % kN,
});
return true;
}
const k = kValueKey.indexOf(key);
if (k != -1 && k < kN) {
this.s.toggleCellValue(this.selected.i, this.selected.j, k);
this.refresh();
return true;
}
return false;
}
onResize() {
const kSafe = 0.99;
this.gridSize = Math.min(this.wrap.clientWidth, this.wrap.clientHeight);
this.cellSize = kSafe * this.gridSize / kN;
this.numSize = 0.8 * this.cellSize;
this.multiCellSize = kSafe * this.cellSize / Math.ceil(Math.sqrt(kN));
this.multiNumSize = 0.8 * this.multiCellSize;
for (const fn of this.resizables.values()) fn();
}
}
let ui = null;
window.addEventListener("load", () => { ui = new Ui(); });
class Timer {
constructor() { this.clear(); }
clear() { this.t = performance.now(); }
get time() { return (performance.now() - this.t) / 1e3; }
log(msg) {
console.log(msg, this.time, "seconds");
this.clear();
}
}
class Sudoku {
constructor(a = null, givenMask = null) {
this.a = (a == null) ? makeArray(kNNN, false) : a;
this.givenMask = (givenMask == null) ? makeArray(kNN, false) : givenMask;
}
// i = row, j = column, k = number
cellIJK(i, j, k) { return (i * kN + j) * kN + k; }
cellIK(i, k) { return i * kN + k; }
cellIJ(i, j) { return i * kN + j; }
getI(x) { return Math.floor(x / kNN); }
getJ(x) { return Math.floor(x / kN) % kN; }
getK(x) { return x % kN; }
changeI(x, i) { return x + (i - this.getI(x)) * kNN; }
changeJ(x, j) { return x + (j - this.getJ(x)) * kN; }
changeK(x, k) { return x + k - this.getK(x); }
cellBC(b, c) {
return this.cellIJ(Math.floor(b / kY) * kY + Math.floor(c / kX),
(b % kY) * kX + c % kX);
}
cellBCK(b, c, k) { return this.cellIK(this.cellBC(b, c), k); }
changeB(x, c) {
const bi = Math.floor(this.getI(x) / kY) * kY;
const bj = Math.floor(this.getJ(x) / kX) * kX;
const ci = Math.floor(c / kX);
const cj = c % kX;
return this.cellIJK(bi + ci, bj + cj, this.getK(x));
}
fillFromString(s) {
for (let i = 0; i < s.length; ++i) {
const x = s.charCodeAt(i) - "0".charCodeAt(0);
if (x >= 1 && x <= 9) {
this.a[this.cellIK(i, x - 1)] = true;
this.givenMask[i] = true;
}
}
}
forEachCell(f) {
const v = makeArray(kN, false);
for (let i = 0; i < kN; ++i) {
for (let j = 0; j < kN; ++j) {
for (let k = 0; k < kN; ++k) {
v[k] = this.a[this.cellIJK(i, j, k)];
}
f(i, j, v, this.givenMask[this.cellIJ(i, j)]);
}
}
}
clearUngiven(v = false) {
for (let i = 0; i < kN; ++i) {
for (let j = 0; j < kN; ++j) {
const g = this.givenMask[this.cellIJ(i, j)];
for (let k = 0; k < kN; ++k) {
if (!g) {
this.a[this.cellIJK(i, j, k)] = v;
}
}
}
}
}
toggleClearCell(i, j) {
if (this.givenMask[this.cellIJ(i, j)]) return;
let value = true;
for (let k = 0; k < kN; ++k) {
if (this.a[this.cellIJK(i, j, k)]) {
value = false;
break;
}
}
for (let k = 0; k < kN; ++k) this.a[this.cellIJK(i, j, k)] = value;
}
toggleCellValue(i, j, k) {
if (this.givenMask[this.cellIJ(i, j)]) return;
const ijk = this.cellIJK(i, j, k);
this.a[ijk] = !this.a[ijk];
}
anyUngivenState() {
for (let i = 0; i < kNN; ++i) {
if (!this.givenMask[i]) {
for (let k = 0; k < kN; ++k) {
if (this.a[this.cellIK(i, k)]) return true;
}
}
}
return false;
}
applyLogic(fills) {
const clear = (ijk) => {
if (this.a[ijk]) {
fills.push(ijk);
this.a[ijk] = false;
}
}
// If any cell in an RCB has exactly one value, eliminate that value from
// other cells in the RCB.
for (let i = 0; i < kNN; ++i) {
let n = -1;
for (let k = 0; k < kN; ++k) {
if (this.a[this.cellIK(i, k)]) {
if (n == -1) {
n = k;
} else {
n = -2;
break;
}
}
}
if (n >= 0) {
const x = this.cellIK(i, n);
for (let i = 0; i < kN; ++i) {
let ijk = 0;
if ((ijk = this.changeI(x, i)) != x) clear(ijk);
if ((ijk = this.changeJ(x, i)) != x) clear(ijk);
if ((ijk = this.changeB(x, i)) != x) clear(ijk);
}
}
}
// If any cell is the only spot a particular value can appear in an RCB,
// eliminate the other values.
const maybeClearOthers = (ijk, k) => {
if (ijk < 0) return;
ijk -= k;
for (let kk = 0; kk < kN; ++kk) {
if (kk != k) clear(ijk + kk);
}
}
for (let i = 0; i < kN; ++i) {
for (let k = 0; k < kN; ++k) {
let nr = -1;
let nc = -1;
let nb = -1;
for (let j = 0; j < kN; ++j) {
let ijk = 0;
if (this.a[ijk = this.cellIJK(i, j, k)]) nr = (nr == -1) ? ijk : -2;
if (this.a[ijk = this.cellIJK(j, i, k)]) nc = (nc == -1) ? ijk : -2;
if (this.a[ijk = this.cellBCK(i, j, k)]) nb = (nb == -1) ? ijk : -2;
}
maybeClearOthers(nr, k);
maybeClearOthers(nc, k);
maybeClearOthers(nb, k);
}
}
}
undo(fills, popUntil) {
while (fills.length > popUntil) {
this.a[fills.pop()] = true;
}
}
getStatus() {
// If any cell has 0 possibilities, fail.
// If any RCB has duplicate single values, fail.
let anyMultiValueCells = false;
for (let i = 0; i < kN; ++i) {
let ar = makeArray(kN, false);
let ac = makeArray(kN, false);
let ab = makeArray(kN, false);
for (let j = 0; j < kN; ++j) {
let nr = -1;
let nc = -1;
let nb = -1;
for (let k = 0; k < kN; ++k) {
if (this.a[this.cellIJK(i, j, k)]) nr = (nr == -1) ? k : -2;
if (this.a[this.cellIJK(j, i, k)]) nc = (nc == -1) ? k : -2;
if (this.a[this.cellBCK(i, j, k)]) nb = (nb == -1) ? k : -2;
}
if (nr >= 0) {
if (ar[nr]) return kBroken;
ar[nr] = true;
}
if (nc >= 0) {
if (ac[nc]) return kBroken;
ac[nc] = true;
}
if (nb >= 0) {
if (ab[nb]) return kBroken;
ab[nb] = true;
}
if (nr == -1) {
return kBroken;
} else if (nr == -2) {
anyMultiValueCells = true;
}
}
}
// If any cells have more than 1 possibility, unsolved, else solved.
return anyMultiValueCells ? kUnsolved : kSolved;
}
findNextMultiValue(cursor) {
while (cursor < kNN) {
let n = 0;
for (let k = 0; k < kN; ++k) {
if (this.a[this.cellIK(cursor, k)]) ++n;
}
if (n > 1) break;
++cursor;
}
return cursor;
}
solveImpl(fills, cursor, depth, maxDepth, report, orderer = null) {
if (depth > maxDepth) return 2;
const popUntil = fills.length;
for (let z = 0; z < 4; ++z) {
const prev = fills.length;
this.applyLogic(fills);
if (fills.length == prev) break;
}
const status = this.getStatus();
if (status == kSolved) {
const stop = report(depth);
this.undo(fills, popUntil);
return stop ? 2 : 1;
}
if (status == kBroken) {
this.undo(fills, popUntil);
return 0;
}
let solns = 0;
cursor = this.findNextMultiValue(cursor);
console.assert(cursor < this.a.length);
const nn = [];
const order = orderer ? orderer(kN) : null;
for (let k = 0; k < kN; ++k) {
const ijk = this.cellIK(cursor, order ? order[k] : k);
if (this.a[ijk]) {
nn.push(ijk);
this.a[ijk] = false;
}
}
for (const i of nn) {
this.a[i] = true;
solns += this.solveImpl(
fills, cursor, depth + 1, maxDepth, report, orderer);
this.a[i] = false;
if (solns > 1) break;
}
for (const i of nn) this.a[i] = true;
this.undo(fills, popUntil);
return solns;
}
solve() {
let soln = null;
const n = this.solveImpl([], 0, 0, Infinity, (depth) => {
console.log("Recursion depth:", depth);
if (soln == null) {
soln = Array.from(this.a);
}
});
console.log("Num solutions: ", n);
if (soln != null) this.a = soln;
}
numSolns(maxDepth = Infinity) {
return this.solveImpl([], 0, 0, maxDepth, () => {});
}
show(i, j) {
for (let k = 0; k < kN; ++k) {
if (this.a[this.cellIJK(i, j, k)]) console.log(k + 1);
}
}
fastRandomFill() {
// This is fast, but I haven't figured out how to hit the entire permutation
// space yet.
const base = [
0, 1, 2, 3, 4, 5, 6, 7, 8,
3, 4, 5, 6, 7, 8, 0, 1, 2,
6, 7, 8, 0, 1, 2, 3, 4, 5,
1, 2, 0, 4, 5, 3, 7, 8, 6,
4, 5, 3, 7, 8, 6, 1, 2, 0,
7, 8, 6, 1, 2, 0, 4, 5, 3,
2, 0, 1, 5, 3, 4, 8, 6, 7,
5, 3, 4, 8, 6, 7, 2, 0, 1,
8, 6, 7, 2, 0, 1, 5, 3, 4,
];
const rows = blockyPermutation(kY, kX);
const cols = blockyPermutation(kX, kY);
const nums = permutation(kN);
for (let i = 0; i < kN; ++i) {
const ii = rows[i];
for (let j = 0; j < kN; ++j) {
const jj = cols[j];
for (let k = 0; k < kN; ++k) {
const kk = nums[k];
this.a[this.cellIJK(ii, jj, kk)] = (base[this.cellIJ(i, j)] == k);
}
}
}
}
slowRandomFill() {
for (let i = 0; i < kNNN; ++i) this.a[i] = true;
let soln = null;
this.solveImpl([], 0, 0, Infinity, () => {
if (soln == null) soln = Array.from(this.a);
return true;
}, permutation);
if (soln != null) this.a = soln;
}
static async genPuzzle(onProgress) {
onProgress(0);
return new Promise((resolve, reject) => {
const kFillProgress = 0.1;
const s = new Sudoku();
const t = new Timer();
s.slowRandomFill();
// s.fastRandomFill();
t.log("Random fill");
onProgress(kFillProgress);
const perm = permutation(kNN);
let i = 0;
const f = new Timer();
const loop = () => {
while (f.time < 0.01) {
if (i >= kNN) {
t.log("Generate");
console.assert(s.numSolns(kDifficulty) == 1);
s.clearUngiven();
onProgress(1);
resolve(s);
return;
} else {
onProgress(kFillProgress + (1 - kFillProgress) * i / kNN);
const c = perm[i];
let n = -1;
for (let k = 0; k < kN; ++k) {
const ijk = s.cellIK(c, k);
if (s.a[ijk]) {
console.assert(n == -1);
n = k;
} else {
s.a[ijk] = true;
}
}
console.assert(n != -1);
const ns = s.numSolns(kDifficulty);
console.assert(ns > 0);
if (ns > 1) {
for (let k = 0; k < kN; ++k) {
if (k != n) s.a[s.cellIK(c, k)] = false;
}
s.givenMask[c] = true;
}
++i;
}
}
f.clear();
window.setTimeout(loop, 0);
};
window.setTimeout(loop, 0);
});
}
static getStorageKey() {
return `w${kX}h${kY}` + (isFinite(kDifficulty) ? `d${kDifficulty}` : "");
}
encode() { return encodeArray(this.a) + " " + encodeArray(this.givenMask); }
static decode(value) {
const i = value.indexOf(" ");
if (i == -1) return null;
const a = decodeArray(value.substr(0, i), kNNN);
if (a == null) return null;
const givenMask = decodeArray(value.substr(i + 1), kNN);
if (givenMask == null) return null;
return new Sudoku(a, givenMask);
}
clearStorage(storage) {
console.log("Deleting puzzle at key:", Sudoku.getStorageKey());
storage.removeItem(Sudoku.getStorageKey());
}
storePuzzle(storage) {
console.log("Storing puzzle at key:", Sudoku.getStorageKey());
storage.setItem(Sudoku.getStorageKey(), this.encode());
}
static tryLoadFromStorage(storage) {
console.log("Loading puzzle at key:", Sudoku.getStorageKey());
const value = storage.getItem(Sudoku.getStorageKey());
if (value == null) {
console.log("No stored puzzle");
return null;
}
console.log("Stored puzzle encoding:", value);
const s = Sudoku.decode(value);
if (s == null) {
console.log("Stored puzzle was corrupted");
}
return s;
}
}
function puzzleToString() {
// Extract a puzzle string from: https://www.puzzle-sudoku.com/?size=5
let s = "";
const cells = document.getElementById("game").firstChild.childNodes;
for (const c of cells) {
if (c.firstChild) {
const n = c.firstChild.innerText;
s += (n == "" ? " " : n);
}
}
return s;
}
</script>
<style>
html, body { height: 100%; }
body {
background-color: #212121;
margin: 0;
display: flex;
align-items: stretch;
}
h1, #index {
color: #ffc107;
text-align: center;
font-family: monospace;
font-size: 42px;
flex-grow: 1;
padding: 16px;
margin: 0;
}
#index {
color: #ff5722;
text-decoration: none;
flex-grow: 0;
}
h2 {
color: #ff5722;
font-family: monospace;
}
a {
color: #ffc107;
font-family: monospace;
font-size: 16px;
cursor: pointer;
text-decoration: underline;
}
#wrap {
display: flex;
justify-content: space-around;
align-items: center;
color: #f5f5f5;
font-family: monospace;
width: 100%;
height: 100%;
}
.grid {
display: flex;
flex-wrap: wrap;
justify-content: center;
align-content: center;
}
.c0, .c1, .c2, .c3 {
display: flex;
flex-wrap: wrap;
align-items: center;
justify-content: space-evenly;
text-align: center;
cursor: pointer;
user-select: none;
}
.c0 { background-color: #8887; }
.c1 { background-color: #8886; }
.c2 { background-color: #8881; }
.num { color: #f5f5f5; }
.given { color: #ffc107; }
.selected { background-color: #3f51b5; }
.hidden { display: none; }
.solved { background-color: #388e3c; }
.message {
position: absolute;
left: 0;
}
#loading, .message {
text-align: center;
pointer-events: none;
background-color: #000B;
}
#loading {
padding: 10px;
font-size: 24px;
width: 200px;
}
#loading_bar {
width: 100%;
height: 16px;
margin-top: 8px;
background-color: #FFF2;
}
#loading_bar_filled {
width: 0;
height: 100%;
background-color: #4caf50;
}
</style>
</head>
<body>
<div id="wrap">
<div id="loading">
Loading...
<br/>
<div id="loading_bar">
<div id="loading_bar_filled"></div>
</div>
</div>
</div>
</body>
</html>