我正在使用Backjumping算法实现N-Queen问题求解器,并且在递归调用中遇到了无限循环错误。
我主要是在返回函数时遇到了麻烦。我认为在设计递归调用时出错。
package Backjumping;
import org.python.google.common.primitives.Ints;
import java.util.*;
public class Backjumping {
int size;
List<Integer> columns;
int numberofplaces;
int numberofbacktracks;
HashMap<Integer, List<Integer>> conflict;
boolean noBreak = true;
Backjumping(int size) {
this.size = size;
columns = new ArrayList();
conflict = new HashMap<>(size);
for (int i = 0; i < size; i++) {
conflict.put(i, new ArrayList<>());
}
}
List place(int startRow) {
if (columns.size() == size) {
System.out.println("Solution Found! The board size was :" + size);
System.out.println(numberofplaces + " total nodes assigned were made.");
System.out.println(numberofbacktracks + " total backtracks were executed.");
return this.columns;
} else {
for (int row = 0; row < size; row++) {
if (isSafe(columns.size(), row)) {
if (indexExists(columns, columns.size()))
columns.set(columns.size(), row);
else
columns.add(columns.size(), row);
numberofplaces += 1;
return place(startRow);
}
}
if (noBreak) {
List<Integer> max_check = conflict.get(columns.size());
int lastRow = Collections.min(max_check);
numberofbacktracks += 1;
conflict.replace(columns.size(), new ArrayList<>());
int previous_variable = columns.remove(lastRow);
return place(previous_variable);
}
}
return this.columns;
}
private boolean isSafe(int cols, int rows) {
for (int threatrow : columns) {
int threatcol = columns.indexOf(threatrow);
if (rows == threatrow || cols == columns.indexOf(threatrow)) {
(conflict.get(cols)).add(threatcol);
return false;
} else if ((threatrow + threatcol) == (rows + cols) || (threatrow - threatcol) == (rows - cols)) {
(conflict.get(cols)).add(threatcol);
return false;
}
}
return true;
}
public boolean indexExists(final List list, final int index) {
return index >= 0 && index < list.size();
}
public static void main(String[] args) {
System.out.println("Enter the size of board");
Scanner sc = new Scanner(System.in);
int n = sc.nextInt();
Backjumping bj = new Backjumping(n);
double start = System.currentTimeMillis();
List cols = bj.place(0);
double end = System.currentTimeMillis();
System.out.println("Time to solve in second = " + (end - start) * 0.001 + " s");
System.out.print("Ths solution is : ");
cols.forEach(i -> System.out.print(((int) i + 1) + ", "));
System.out.println("\n\nPlotting CSP result on N_Queens board");
System.out.println("......................................\n");
bj.getBoardPic(n, cols);
}
public void getBoardPic(int size, List columns) {
int[] cols = Ints.toArray(columns);
int[][] matrix = new int[size][size];
for (int a = 0; a < size; a++) {
int j = cols[a];
matrix[a][j] = 1;
}
for (int a = 0; a < size; a++) {
for (int b = 0; b < size; b++) {
if (matrix[b][a] == 1)
System.out.print(" Q ");
else
System.out.print(" - ");
}
System.out.println();
}
}
}
主要错误是,当我在row=0
中分配for (int row = 0; row < size; row++)
时,n
= 6的输入大小错误,而其他值正确。
当我在row=startrow
中分配for (int row = startrow; row < size; row++)
时,n
= 6的输入大小正确,其他值是错误的。