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index.html
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index.html
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<!doctype html>
<html>
<head>
<meta charset='utf8'>
<meta name="viewport" content="width=device-width, initial-scale=1">
<style>
.main {
max-width: 600px;
margin: 0 auto;
}
textarea, button, #result {
top: 0;
left: 0;
padding: 0;
font-size: 18px;
width: 100%;
margin: 0 auto;
}
p {
/* top: 0;
left: 0; */
padding: 5px 0 0 0;
font-family: Courier;
text-align: center;
width: 90%;
margin: 0 auto;
}
</style>
<title>24 Game</title>
</head>
<body>
<div class='main'>
<p><textarea placeholder='5,5,3,3' id='txb_input'></textarea></p>
<p><button id='btn_go'>Go!</button></p>
<p id='p_result'></p>
</div>
<script>
function Fraction(n) {
this.n = n;
this.d = 1;
}
Fraction.prototype.add = function(that, ret) {
ret.n = this.n * that.d + that.n * this.d;
ret.d = this.d * that.d;
}
Fraction.prototype.sub = function(that, ret) {
ret.n = this.n * that.d - that.n * this.d;
ret.d = this.d * that.d;
}
Fraction.prototype.mul = function(that, ret) {
ret.n = this.n * that.n;
ret.d = this.d * that.d;
}
Fraction.prototype.div = function(that, ret) {
ret.n = this.n * that.d;
ret.d = this.d * that.n;
}
Fraction.prototype.op = function(operator, that, ret) {
switch (operator) {
case '+': this.add(that, ret); break;
case '-': this.sub(that, ret); break;
case '*': this.mul(that, ret); break;
case '/': this.div(that, ret); break;
default: // SHOULD NOT RUN.
console.log('Fraction.op :: Invalid operator. (operator) == (' + operator + ')');
}
}
function fraction_op (f, x, y) {
var r = new Fraction(0);
x.op(f, y, r);
return r;
}
Fraction.prototype.print = function(el) {
console.log(this.n + ' / ' + this.d + ' = ' + (this.n/this.d));
}
// 5 types.
var EXP_TYPES = [
'ffxxfxx',
'fffxxxx',
'ffxfxxx',
'fxffxxx',
'fxfxfxx'
];
var FFXXFXX = 0;
var FFFXXXX = 1;
var FFXFXXX = 2;
var FXFFXXX = 3;
var FXFXFXX = 4;
// used by setup_permutations
var IDXS = [
[0, 1, 2, 3],
[0, 1, 3, 2],
[0, 2, 1, 3],
[0, 2, 3, 1],
[0, 3, 1, 2],
[0, 3, 2, 1],
[1, 0, 2, 3],
[1, 0, 3, 2],
[1, 2, 0, 3],
[1, 2, 3, 0],
[1, 3, 0, 2],
[1, 3, 2, 0],
[2, 0, 1, 3],
[2, 0, 3, 1],
[2, 1, 0, 3],
[2, 1, 3, 0],
[2, 3, 0, 1],
[2, 3, 1, 0],
[3, 0, 1, 2],
[3, 0, 2, 1],
[3, 1, 0, 2],
[3, 1, 2, 0],
[3, 2, 0, 1],
[3, 2, 1, 0]
];
function Expression(exptype, operands, operators) {
this.tp = (exptype === undefined) ? (0) : (exptype); // 0 .. 4
this.x = (operands === undefined) ? ([6, 6, 6, 6]) : (operands); // [4]long
this.f = (operators === undefined) ? (['+', '+', '+']) : (operators); // [3]char
}
// `ret` is a Fraction
// Critical method. More speed-up is required.
Expression.prototype.calculate = function() {
var f = this.f[0];
var g = this.f[1];
var h = this.f[2];
var a = new Fraction(this.x[0]);
var b = new Fraction(this.x[1]);
var c = new Fraction(this.x[2]);
var d = new Fraction(this.x[3]);
switch (this.tp) {
case FFXXFXX: // 0
return fraction_op(f, fraction_op(g, a, b), fraction_op(h, c, d));
case FFFXXXX: // 1
return fraction_op(f, fraction_op(g, fraction_op(h, a, b), c), d);
case FFXFXXX: // 2
return fraction_op(f, fraction_op(g, a, fraction_op(h, b, c)), d);
case FXFFXXX: // 3
return fraction_op(f, a, fraction_op(g, fraction_op(h, b, c), d));
case FXFXFXX: // 4
return fraction_op(f, a, fraction_op(g, b, fraction_op(h, c, d)));
default: // SHOULD NOT RUN.
console.log('Expression.calculate :: Invalid expression type.');
}
}
Expression.prototype.is24 = function() {
var res = this.calculate();
return (
(res.d !== 0) &&
(res.n !== 0) &&
(res.n % res.d === 0) &&
(res.n / res.d === 24)
);
}
Expression.prototype.setup_permutations = function(
operands, // [4]int
) {
var permutations = [];
for (var i = 0; i < 24; i++) {
permutations[i] = [];
for (var j = 0; j < 4; j++) {
permutations[i][j] = operands[IDXS[i][j]]
}
}
return permutations;
}
Expression.prototype.find_solution = function(a) {
var ops = ['+', '-', '*', '/'];
var aa = this.setup_permutations(a);
var i, j, k, t, p;
for (i = 0; i < 4; i++) {
this.f[0] = ops[i];
for (j = 0; j < 4; j++) {
this.f[1] = ops[j];
for (k = 0; k < 4; k++) {
this.f[2] = ops[k];
for (t = 0; t < 5; t++) {
this.tp = t;
for (p = 0; p < 24; p++) {
this.x = aa[p];
if (this.is24()) {
return 1;
}
}
}
}
}
}
return 0;
}
Expression.prototype.stringify = function() {
var a = this.x[0];
var b = this.x[1];
var c = this.x[2];
var d = this.x[3];
var f = this.f[0];
var g = this.f[1];
var h = this.f[2];
switch (this.tp) {
case FFXXFXX: // 0
return `((${a} ${g} ${b}) ${f} (${c} ${h} ${d}))`;
case FFFXXXX: // 1
return `(((${a} ${h} ${b}) ${g} ${c}) ${f} ${d})`;
case FFXFXXX: // 2
return `((${a} ${g} (${b} ${h} ${c})) ${f} ${d})`;
case FXFFXXX: // 3
return `(${a} ${f} ((${b} ${h} ${c}) ${g} ${d}))`;
case FXFXFXX: // 4
return `{${a} ${f} (${b} ${g} (${c} ${h} ${d})))`;
}
return 0;
}
</script>
<script>
btn_go.onclick = function() {
a = [];
tx = txb_input.value;
toks = tx.split(/(\s+)/).join(',').split(',');
for (var i = 0; i < toks.length; i++) {
x = parseInt(toks[i]);
if (x) {
a.push(x);
}
}
if (a.length !== 4) {
p_result.innerText = 'Must has only 4 numbers.';
return;
}
var xx = new Expression();
switch (xx.find_solution(a)) {
case 1:
p_result.innerText = (xx.stringify() + ' == 24');
return;
default:
p_result.innerText = 'No solution.';
return;
}
}
</script>
</body>
</html>