c语言24点游戏详解（c语言24点游戏程序设计）

本文实例分析了C#实现的24点游戏。分享给大家供大家参考。具体如下：

1. 24点游戏规则及算法

规则：给出4个自然数，找出能够求出24的四则运算式，要求数字不能重复使用
分析：

本算法是一种暴力求解法：

给出任意两个数字，可以进行6种四则运算，求出最多6个值。以数字a和b为例，有：

加（a+b）、减（a-b）、被减（b-a）、乘以（a*b）、除以(a/b)和除(b/a)
abcd共计四个数，如果顺序固定，则有5种计算顺序（★代表上面6种四则运算中的一种）：

((a★b)★c)★d、(a★b)★(c★d)、(a★(b★c))★d、a★((b★c)★d)、a★(b★(c★d))

给出的四个数字，n1n2n3n4，有4*3*2=24种全排列的方法

2. 相关函数

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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 /// <summary> /// 判断abcd四个数进行任意四则运算后能不能得出24，每个数字只能用一次 /// </summary> /// <param name="a">数字a</param> /// <param name="b">数字b</param> /// <param name="c">数字c</param> /// <param name="d">数字d</param> /// <param name="expression"></param> /// <returns></returns> private static bool Try24(int a, int b, int c, int d, ref string expression) { //a字头 if (TryEach(a, b, c, d, ref expression)) return true; if (TryEach(a, b, d, c, ref expression)) return true; if (TryEach(a, c, b, d, ref expression)) return true; if (TryEach(a, c, d, b, ref expression)) return true; if (TryEach(a, d, b, c, ref expression)) return true; if (TryEach(a, d, c, b, ref expression)) return true; //b字头 if (TryEach(b, a, c, d, ref expression)) return true; if (TryEach(b, a, d, c, ref expression)) return true; if (TryEach(b, c, a, d, ref expression)) return true; if (TryEach(b, c, d, a, ref expression)) return true; if (TryEach(b, d, a, c, ref expression)) return true; if (TryEach(b, d, c, a, ref expression)) return true; //c字头 if (TryEach(c, a, b, d, ref expression)) return true; if (TryEach(c, a, d, b, ref expression)) return true; if (TryEach(c, b, a, c, ref expression)) return true; if (TryEach(c, b, c, a, ref expression)) return true; if (TryEach(c, d, a, b, ref expression)) return true; if (TryEach(c, d, b, a, ref expression)) return true; //d字头 if (TryEach(d, a, b, c, ref expression)) return true; if (TryEach(d, a, c, b, ref expression)) return true; if (TryEach(d, b, a, c, ref expression)) return true; if (TryEach(d, b, c, a, ref expression)) return true; if (TryEach(d, c, a, b, ref expression)) return true; if (TryEach(d, c, b, a, ref expression)) return true; return false; } /// <summary> /// 判断指定顺序的四个数abcd进行任意四则运算后能不能得出24，每个数字只能用一次 /// </summary> /// <param name="a">数字1</param> /// <param name="b">数字2</param> /// <param name="c">数字3</param> /// <param name="d">数字4</param> /// <param name="expression"></param> /// <returns></returns> private static bool TryEach(int a, int b, int c, int d, ref string expression) { expression = ""; //两个数可以做6种运算：加、减、被减、乘以、除以、除 //四个数共可以进行6*6*6=216种不同次序的四则运算 //初始化数组 for (int i = 0; i < 6 * 6 * 6; i++) { //a与b间的运算符：i / 36 //b与c间的运算符：i % 36 / 6 //c与d间的运算符：i % 6 //1.运算顺序：a和b，再和c，再和d { string expression1 = "", expression2 = ""; int temp1 = ResultOf(a, b, i / 36, ref expression1); int temp2 = ResultOf(temp1, c, i % 36 / 6, ref expression2, expression1); int result = ResultOf(temp2, d, i % 6, ref expression, expression2); if (result == 24) return true; } //2.运算顺序：a和b，c和d，前面部分和后面部分 { string expression1 = "", expression2 = ""; int temp1 = ResultOf(a, b, i / 36, ref expression1); int temp2 = ResultOf(c, d, i % 6, ref expression2); int result = ResultOf(temp1, temp2, i % 36 / 6, ref expression, expression1, expression2); if (result == 24) return true; } //3.运算顺序：b和c运算，再与a运算，再与d运算 { string expression1 = "", expression2 = ""; int temp1 = ResultOf(b, c, i % 36 / 6, ref expression1); int temp2 = ResultOf(a, temp1, i / 36, ref expression2, "", expression1); int result = ResultOf(temp2, d, i % 6, ref expression, expression2); if (result == 24) return true; } //4.运算顺序：b和c运算，再与d运算，再与a运算 { string expression1 = "", expression2 = ""; int temp1 = ResultOf(b, c, i % 36 / 6, ref expression1); int temp2 = ResultOf(temp1, d, i % 6, ref expression2, expression1); int result = ResultOf(a, temp2, i / 36, ref expression, "", expression2); if (result == 24) return true; } //5.运算顺序：c和d运算，再和b运算，再和a运算 { string expression1 = "", expression2 = ""; int temp1 = ResultOf(c, d, i % 6, ref expression1); int temp2 = ResultOf(b, temp1, i % 36 / 6, ref expression2, "", expression1); int result = ResultOf(a, temp2, i / 36, ref expression, "", expression2); if (result == 24) return true; } } expression = "Abandoned"; return false; } /// <summary> /// 求两数进行某一四则运算后的结果 /// </summary> /// <param name="x">数字1</param> /// <param name="y">数字2</param> /// <param name="method">（0-5分别代表：加、减、被减、乘以、除以、除）</param> /// <param name="expression">返回的表达式</param> /// <param name="expressionLeft">数字1表达式</param> /// <param name="expressionRight">数字2表达式</param> /// <returns></returns> private static int ResultOf(int x, int y, int method, ref string expression, string expressionLeft = "", string expressionRight = "") { //左右表达式之前被判定为无效则不计算，除数为0时不计算 if (expressionLeft == "Abandoned" || expressionRight == "Abandoned" || (x == 0 && method == 5) || (y == 0 && method == 4)) { expression = "Abandoned"; return -1; } int result = 0; switch (method) { case 0: { //加 result = x + y; expression = string.Format("{0}+{1}", expressionLeft == "" ? x.ToString() : expressionLeft, expressionRight == "" ? y.ToString() : expressionRight); } break; case 1: { //减 result = x - y; expression = string.Format("{0}-{1}", expressionLeft == "" ? x.ToString() : expressionLeft, expressionRight == "" ? y.ToString() : expressionRight); } break; case 2: { //被减 result = y - x; expression = string.Format("{1}-{0}", expressionLeft == "" ? x.ToString() : expressionLeft, expressionRight == "" ? y.ToString() : expressionRight); } break; case 3: { //乘以 result = x * y; expression = string.Format("({0})*({1})", expressionLeft == "" ? x.ToString() : expressionLeft, expressionRight == "" ? y.ToString() : expressionRight); } break; case 4: { //除以 if (x % y == 0) { result = x / y; expression = string.Format("({0})/({1})", expressionLeft == "" ? x.ToString() : expressionLeft, expressionRight == "" ? y.ToString() : expressionRight); } else { expression = "Abandoned"; } } break; case 5: { //除 if (y % x == 0) { result = y / x; expression = string.Format("({1})/({0})", expressionLeft == "" ? x.ToString() : expressionLeft, expressionRight == "" ? y.ToString() : expressionRight); } else { expression = "Abandoned"; } } break; } //运算不合法，则返回-1，表达式为Abandoned， if (expression == "Abandoned") { return -1; } return result; }

3. Main函数调用

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 static void Main(string[] args) { string s = ""; bool try24; try24 = Try24(1, 2, 3, 4, ref s); Console.WriteLine("1,2,3,4: " + s); try24 = Try24(1, 3, 5, 7, ref s); Console.WriteLine("1,3,5,7: " + s); try24 = Try24(2, 3, 6, 4, ref s); Console.WriteLine("2,3,6,4: " + s); try24 = Try24(5, 7, 9, 4, ref s); Console.WriteLine("5,7,9,4: " + s); try24 = Try24(6, 3, 4, 5, ref s); Console.WriteLine("6,3,4,5: " + s); try24 = Try24(9, 5, 2, 7, ref s); Console.WriteLine("9,5,2,7: " + s); try24 = Try24(4, 9, 8, 3, ref s); Console.WriteLine("4,9,8,3: " + s); try24 = Try24(4, 9, 8, 2, ref s); Console.WriteLine("4,9,8,2: " + s); try24 = Try24(10, 10, 10, 10, ref s); Console.WriteLine("10,10,10,10: " + s); Console.ReadLine(); }