背包问题

PackageQuestion0-1.cpp

@@ -0,0 +1,75 @@
+#include<iostream>
+using namespace std;
+int main()
+{
+	int n, C, i, j;
+	cout << "请输入背包容量：";
+	cin >> C;
+	cout << "请输入物品数：";
+	cin >> n;
+	int *w = new int[n+1];      //存储物品的重量 
+	int *v = new int[n+1];      //存储物品的价值 
+	int *x = new int[n+1];      //表示最优子结构 
+	int **V = new int*[n+1];    //设置备忘录 
+	for (i = 0; i < n + 1; i++)
+	{
+		V[i] = new int[C + 1];
+	}
+	cout << "请输入这些物品的重量：";
+	w[0] = 0;
+	for (i = 1; i < n + 1; i++) //重量和价值都从下标1开始存，这样方便后面计算
+		cin >> w[i];
+	cout << "请输入这些物品的价值：";
+	v[0] = 0;
+	for (i = 1; i < n + 1; i++)
+		cin >> v[i];
+	
+	for (i = 0; i < n + 1; i++)//初始化第0列
+		V[i][0] = 0;
+	for (j = 0; j < C + 1; j++)//初始化第0行
+		V[0][j] = 0;； 
+	for (i = 1; i <= n; i++)
+		for (j = 1; j <= C; j++)
+		{
+			if (j < w[i])
+				V[i][j] = V[i - 1][j];
+			else
+				V[i][j] = V[i - 1][j] > (V[i - 1][j - w[i]] + v[i]) ? V[i - 1][j] : (V[i - 1][j - w[i]] + v[i]);
+		}
+	for (j = C, i = n; i > 0; i--)
+	{
+		if (V[i][j] > V[i - 1][j])
+		{
+			x[i] = 1;
+			j = j - w[i];
+		}
+		else
+			x[i] = 0;
+	}
+	/*控制X的输出格式*/
+	cout << "此题最优解为：X={";
+	for (i = 1; i < n; i++)
+		cout << x[i] << ",";
+	cout << x[i] << "}" << endl;
+	/*输出表*/
+	/*控制表头的输出格式*/
+	cout << '\t';
+	for (j = 0; j < C+1; j++)
+		cout << j << '\t';
+	cout << endl;
+	/*输出表最左边一列和表的内容*/
+	for (i = 0; i < n + 1; i++)
+	{
+		cout << i << '\t';//输出表最左边
+		for (j = 0; j < C + 1; j++)//输出表的内容
+			cout << V[i][j] << '\t';
+		cout << endl;
+	}
+	delete[] w;
+	delete[] v;
+	delete[] x;
+	delete[] V;
+	return 0;
+}
+
+