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index.html
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index.html
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<!DOCTYPE html>
<meta charset="utf-8">
<body>
<script src="https://d3js.org/d3.v5.min.js"></script>
<script src="https://unpkg.com/@hpcc-js/wasm@0.3.11/dist/index.min.js"></script>
<script src="https://unpkg.com/d3-graphviz@3.0.5/build/d3-graphviz.js"></script>
<script src="https://unpkg.com/tone@14.2.15/build/Tone.js"></script>
<script src="https://unpkg.com/@svgdotjs/svg.js"></script>
<div id="output" style="text-align: center;"></div>
<button id="download">Download</button>
<script>
class ExactCoverState {
constructor(M, selection) {
this.M = M;
this.selection = selection;
this.present = [];
for (let s of this.selection)
for (let c = 0; c < M[0].length; c++)
if (M[s][c])
this.present.push(c);
}
draw() {
function colorRow(l) {
return `hsl(${l * 360 / M.length}deg 80% 80%)`;
}
const SEPV = 42;
const M = this.M;
const draw = SVG().size(M[0].length * 32 + 1, 32);
const rectElements = [];
for (let c = 0; c < M[0].length; c++) {
let color = "white";
for (let s of this.selection)
if (M[s][c])
color = colorRow(s);
const r = draw.rect(32, 32).move(32 * c, 0).fill(color).stroke("black");
rectElements.push(r);
draw.text(c + 1).move(c * 32 + 12, 4).attr({ textAnchor: "middle" })
}
return draw;
}
getColMin() {
let cMin = -1;
let min = 10000;
for (let c = 0; c < M[0].length; c++)
if (this.present.indexOf(c) < 0) {
let count = 0;
for (let l = 0; l < M.length; l++) {
if (this.isSelectable(l) && M[l][c])
count++;
}
if (count < min) {
min = count;
cMin = c;
alert(cMin + ","+ min)
}
}
return cMin;
}
isSelectable(l) {
for (let c = 0; c < M[0].length; c++) {
if (M[l][c] && this.present.indexOf(c) >= 0)
return false;
}
return true;
}
getSuccessors() {
const M = this.M;
const present = [];
const suc = [];
const cMin = this.getColMin();
alert(cMin)
for (let l = 0; l < M.length; l++)
if (this.isSelectable(l) && M[l][cMin]) {
if (this.selection.length == 0)
alert(l)
suc.push(new ExactCoverState(this.M, [...this.selection, l]));
}
return suc;
}
}
class ExactCover {
constructor(M) {
this.M = M;
}
getInitialState() {
return new ExactCoverState(this.M, []);
}
}
class NQueenState {
constructor(n, positions) {
this.n = n;
this.positions = positions;
}
draw() {
const n = this.n;
const svg = SVG().size(n * 16, n * 16);
for (let i = 0; i < n; i++) {
for (let j = 0; j < n; j++) {
svg.rect(16, 16).move(i * 16, j * 16).stroke("black").fill("white");
}
}
for (let i = 0; i < this.positions.length; i++)
svg.text("♛").move(i * 16, this.positions[i] * 16 - 2);
return svg;
}
isSafe(row, col) {
// Check this row on left side
for (let i = 0; i < col; i++)
if (this.positions[i] == row)
return false;
// Check upper diagonal on left side
let j = col;
for (let i = row; i >= 0 && j >= 0; i--, j--)
if (this.positions[j] == i)
return false;
// Check lower diagonal on left side
j = col;
for (let i = row; j >= 0 && i < this.n; i++, j--)
if (this.positions[j] == i)
return false;
return true;
}
getSuccessors() {
const s = [];
console.log(this.positions)
if (this.positions.length >= this.n)
return [];
for (let i = 0; i < this.n; i++)
if (this.isSafe(i, this.positions.length))
s.push(new NQueenState(this.n, [...this.positions, i]));
return s;
}
}
class NQueenProblem {
constructor(n) {
this.n = n;
}
getInitialState() {
return new NQueenState(this.n, []);
}
}
const P = new NQueenProblem(4);
/*const M = [[1, 0, 0, 1, 0, 0, 1],
[1, 0, 0, 1, 0, 0, 0],
[0, 0, 0, 1, 1, 0, 1],
[0, 0, 1, 0, 1, 1, 0],
[0, 1, 1, 0, 0, 1, 1],
[0, 1, 0, 0, 0, 0, 1]];
const P = new ExactCover(M);
*/
function createTree(P) {
function backtrack(i) {
return [i.draw(), i.getSuccessors().map(backtrack)];
}
return backtrack(P.getInitialState());
}
const tree = createTree(P);
drawTree(tree).addTo("#output");
function getWidth(el) { return parseInt(el.node.getAttribute("width")); }
function getHeight(el) { return parseInt(el.node.getAttribute("height")); }
function drawTree(tree) {
const svg = SVG();
const node = tree[0];
const sucs = tree[1].map(drawTree);
console.log(getWidth(node))
node.addTo(svg);
const SEPX = 10;
const SEPY = 64;
let w = 0;
let h = 0;
let y1 = getHeight(node);
let y2 = getHeight(node) + SEPY;
for (const svgS of sucs) {
console.log(svgS);
svgS.addTo(svg).move(w, y2);
w += getWidth(svgS) + SEPX;
h = Math.max(h, getHeight(svgS));
}
let x1 = getWidth(node) / 2;
if (w > getWidth(node)) {
x1 = w / 2;
node.move(w / 2 - getWidth(node) / 2, 0);
}
w = 0;
for (const svgS of sucs) {
const x2 = w + getWidth(svgS) / 2;
w += getWidth(svgS) + SEPX;
svg.line(x1, y1, x2, y2).stroke({ color: "black", width: 2 });
}
svg.size(Math.max(w, getWidth(node)), getHeight(node) + (sucs.length == 0 ? 0 : SEPY) + h);
return svg;
}
document.getElementById("download").onclick = () => {
download("tree.svg", output.children[0].outerHTML);
}
function download(filename, text) {
var element = document.createElement('a');
element.setAttribute('href', 'data:text/plain;charset=utf-8,' + encodeURIComponent(text));
element.setAttribute('download', filename);
element.style.display = 'none';
document.body.appendChild(element);
element.click();
document.body.removeChild(element);
}
</script>