Some days ago, my girlfriend wanted me to write a program about Nine Palace in C#. Although I was extremely busy during that time, I still wrote for her in C# and Java(I like Java too). Because I can’t stand her lovely begging.
OK, let’s get down to business. There’re two method in this class: 1: Type a dimension, one of the solutions will be displayed. 2: Give your solution, algorithm will tell you whether your solution is correct.
Here is the Java source code. You can copy it to your Java IDE and run it directly.
I’ll appreciate your reply with your better algorithm.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 package com.NinePalacePlans;import java.io.BufferedReader;import java.io.InputStreamReader;public class NinePalacePlans { public static void p () { System.out.println(); } public static void p1 (Object o) { System.out.print(o); } public static void p (Object o) { System.out.println(o); } public NinePalacePlans () { dimension = 3 ; } public NinePalacePlans (int dimension) { this .dimension = dimension; } private int dimension; private int [][] area; private int total; public boolean manualNinePalacePlans (int [][] paraArea) { int dimension = paraArea.length; int centerNum = (dimension * dimension + 1 ) / 2 ; int total = centerNum * dimension; int tempSum = 0 ; for (int i = 0 ; i < dimension; i++) { tempSum = 0 ; for (int j = 0 ; j < dimension; j++) { tempSum += paraArea[i][j]; } if (tempSum != total) { return false ; } tempSum = 0 ; for (int j = 0 ; j < dimension; j++) { tempSum += paraArea[j][i]; } if (tempSum != total) { return false ; } } int tSumLeftDiagonal = 0 ; int tSumRigthDiagonal = 0 ; for (int i = 0 ; i < dimension; i++) { tSumLeftDiagonal += paraArea[i][i]; tSumRigthDiagonal += paraArea[(dimension - 1 ) - i][(dimension - 1 ) - i]; } if (tSumLeftDiagonal != total || tSumRigthDiagonal != total) { return false ; } return true ; } public void createNinePalacePlans () { area = new int [dimension][dimension]; int centerNum = (dimension * dimension + 1 ) / 2 ; total = centerNum * dimension; int preNumx = (dimension + 1 ) / 2 - 1 ; int preNumy = 0 ; area[preNumy][preNumx] = 1 ; int loop = dimension * dimension; int nextx = preNumx; int nexty = preNumy; for (int i = 1 ; i < loop; i++) { nextx += 1 ; nexty -= 1 ; if (nexty < 0 ) { nexty = dimension - 1 ; } if (nextx >= dimension) { nextx = 0 ; } if (area[nexty][nextx] != 0 ) { nextx = preNumx; nexty = preNumy + 1 ; } area[nexty][nextx] = i + 1 ; preNumx = nextx; preNumy = nexty; } } public void printNinePalace () { for (int i = 0 ; i < dimension; i++) { for (int j = 0 ; j < dimension; j++) { p1(area[i][j] + "\t" ); } p(); } } public int getTotal () { return total; } public void setTotal (int total) { this .total = total; } public int getDimension () { return dimension; } public void setDimension (int dimension) { this .dimension = dimension; } public static void main (String[] args) { NinePalacePlans nine = new NinePalacePlans(); p1("Please input the dimension(odd number): " ); BufferedReader in = new BufferedReader(new InputStreamReader(System.in)); String inStr; int num = 0 ; try { inStr = in.readLine(); num = Integer.valueOf(inStr); while (num % 2 == 0 ) { p("Dimension must be odd number." ); p1("Please input the dimension(odd number): " ); inStr = in.readLine(); num = Integer.valueOf(inStr); } nine.setDimension(num); } catch (Exception e) { nine.setDimension(3 ); p("Entered dimension error. Using default dimesion: 3." ); } nine.createNinePalacePlans(); nine.printNinePalace(); p(); p("The total sum of each line: " + nine.getTotal()); p(); p("=== Manual NinePalacePlans ===" ); int [][] paraArea = { { 8 , 1 , 6 }, { 3 , 5 , 7 }, { 4 , 9 , 2 } }; if (nine.manualNinePalacePlans(paraArea)) { p("All checked." ); } else { p("Not correct." ); } } }