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/**
* ¼¦ÍÃͬÁýÎÊÌâ¡£½â·¨Çë Google£º“ÐÐÁÐʽ ¶þÔªÒ»´Î·½³Ì×é”
*
* @author yiding.he
*/
public class BinaryLinearEquationGroup {
// ³ÌÐòÈë¿Ú
public static void main(String[] args) {
int heads = 10;
int legs = 36;
int[] result = calculate(new int[][]{
{1, 1, heads}, // ¼¦ºÍÍÃ×Ó¸÷ÓÐÒ»¸öÍ·£¬¹² 10 ¸ö£»
{2, 4, legs} // ¼¦ÓÐÁ½Ö»½Å£¬ÍÃ×ÓËÄÖ»½Å£¬¹² 36 Ö»¡£
});
if (result != null && result.length > 0) {
System.out.println("½á¹û£º¼¦ÓÐ " + result[0] + " Ö»£¬ÍÃ×ÓÓÐ " + result[1] + " Ö»¡£");
} else if (result == null) {
System.out.println("¸ÃÌâÎ޽⡣");
} else if (result.length == 0) {
System.out.println("¸ÃÌâÓÐÎÞÇî½â¡£");
}
}
/**
* ½â¶þÔªÒ»´Î·½³Ì×飬·½³Ì×éµÄ½â±ØÐëÊÇÕýÕûÊý£¬·ñÔòÊÓΪÎ޽⡣
*
* @param params ·½³Ì×é²ÎÊý
*
* @return ·µ»Ø null ±íʾÎ޽⣬·µ»Ø¿ÕÊý×é±íʾÎÞÇî½â£¬·ñÔò±íʾÕý½â¡£
*/
private static int[] calculate(int[][] params) {
Matrix2 delta = new Matrix2(new int[][]{
{params[0][0], params[0][1]},
{params[1][0], params[1][1]}
});
Matrix2 delta_x = new Matrix2(new int[][]{
{params[0][2], params[0][1]},
{params[1][2], params[1][1]}
});
Matrix2 delta_y = new Matrix2(new int[][]{
{params[0][0], params[0][2]},
{params[1][0], params[1][2]}
});
// Åж¨ÎÞÇî½â»òÎÞ½âµÄÌõ¼þ
if (delta.isZero() && delta_x.isZero() && delta_y.isZero()) {
return new int[]{};
} else if (delta.isZero()
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