题目:


import java.util.Scanner;
public class tass {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int n = sc.nextInt();
int a[] = new int[n];
for (int i = 0; i < a.length; i++) {
a[i] = sc.nextInt();
}
int k = sc.nextInt();
int maxArea[][] = new int[n][n];//f[i][j]表示从i到j最大的数,例如f[2][5]表示从下标为2到下标为5的区域内最大的数
for (int j = 0; j < maxArea.length; j++) {
maxArea[j][j] = a[j];
}
for (int i = 1; i < maxArea.length; i++) {
for (int j = 0; j < maxArea.length-i; j++) {
maxArea[j][j+i] = Math.max(maxArea[j][j+i-1], maxArea[j+i][j+i]);
}
}
int f[][] = new int[n+1][k+1];//f[i][j]存放前i个数里挑选j个数的最大乘积,即最终要求条件
for (int i = 1; i < f.length; i++) {//求出前i个数里挑选1个的最大乘积
f[i][1] = maxArea[0][i-1];
}
for (int w = 2; w <= k; w++) {
for (int i = w; i <= maxArea.length; i++) {
for (int j = w-1; j < i; j++) {
f[i][w] = Math.max(f[i][w], f[j][w-1]*maxArea[j][i-1]);
}
}
}
System.out.println(f[n][k]);
}
}