import java.util.Arrays;public class Test { public static void main(String args[]){ optimalBST(p, q, n); } // 5个互异关键字组成的序列,且关键字有序。 public static int n = 5; // 每个关键字对应的被搜索到的概率 public static float[] p = {0f, 0f, 0.15f, 0.10f, 0.05f, 0.10f, 0.20f}; // 搜索不到的概率 public static float[] q = {0f, 0.05f, 0.10f, 0.05f, 0.05f, 0.05f, 0.10f}; // 由底向上处理 public static void optimalBST(float[] p, float[] q, int n){ float t = Float.MAX_VALUE; float[][] root = new float[n + 1][n + 1]; float[][] e = new float[n + 2][n + 1]; float[][] w = new float[n + 2][n + 1]; for (int i = 1; i < n + 2; i++) { e[i][i - 1] = q[i]; w[i][i - 1] = q[i]; } for (int l = 1; l <= n; l++) { for (int i = 1; i <= n - l + 1; i++) { int j = i + l - 1; e[i][j] = Float.MAX_VALUE; w[i][j] = w[i][j - 1] + p[j + 1] + q[j + 1]; for (int k = i; k <= j; k++) { t = e[i][k - 1] + e[k + 1][j] + w[i][j]; if(t < e[i][j]){ e[i][j] = t; root[i][j] = k; } } } } for (int i = 0; i < e.length; i++) { System.out.println(Arrays.toString(e[i])); } System.out.println("####################"); for (int i = 0; i < w.length; i++) { System.out.println(Arrays.toString(w[i])); } System.out.println("####################"); for (int i = 0; i < root.length; i++) { System.out.println(Arrays.toString(root[i])); } }}