JAVA八皇后问题学习
https://www.bilibili.com/video/BV1vZ4y1v77a?spm_id_from=333.999.0.0
public class Queen {
private int[] column; //同栏是否有皇后,1表示有
private int[] rup; //右上至左下是否有皇后
private int[] lup; //左上至右下是否有皇后
private int[] queen; //解答
private int num; //解答编号
public Queen() {
column = new int[8+1];
rup = new int[(2*8)+1];
lup = new int[(2*8)+1];
for (int i = 1; i <= 8; i++)
column[i] = 0;
for (int i = 1; i <= (2*8); i++)
rup[i] = lup[i] = 0; //初始定义全部无皇后
queen = new int[8+1];
}
public void backtrack(int i) {
if (i > 8) {
showAnswer();
} else {
for (int j = 1; j <= 8; j++) {
if ((column[j] == 0) && (rup[i+j] == 0) && (lup[i-j+8] == 0)) {
//若无皇后
queen[i] = j; //设定为占用
column[j] = rup[i+j] = lup[i-j+8] = 1;
backtrack(i+1); //循环调用
column[j] = rup[i+j] = lup[i-j+8] = 0;
}
}
}
}
protected void showAnswer() {
num++;
System.out.println("\n解答" + num);
for (int y = 1; y <= 8; y++) {
for (int x = 1; x <= 8; x++) {
if(queen[y]==x) {
System.out.print("Q");
} else {
System.out.print(".");
}
}
System.out.println();
}
}
public static void main(String[] args) {
Queen queen = new Queen();
queen.backtrack(1);
}
}