C++ :

#include<iostream>
using namespace std;
int a[101]={0},b[101]={0},c[101]={0};
int main()
{
	int n,i,j,max;
	cin>>n;
	for(i=1;i<=n;i++)
	cin>>a[i];
	for(i=1;i<=n;i++)
	{
		b[i]=1;
		for(j=1;j<=i-1;j++)
		  if(a[i]>a[j]&&b[j]+1>b[i])
		    b[i]=b[j]+1;
	}
	for(i=n;i>=1;i--)
	{
		c[i]=1;
		for(j=i+1;j<=n;j++)
		  if(a[j]<a[i]&&c[j]+1>c[i])
		    c[i]=c[j]+1; 
	}
	max=0;
	for(i=1;i<=n;i++)
	  if(b[i]+c[i]>max)
	    max=b[i]+c[i];
	cout<<n-max+1;
	return 0;
}

Java :

import java.util.Scanner;

public class Main {
    public static int MAX_N = 105;
    public static int a[] = new int[MAX_N];
    public static int dp1[] = new int[MAX_N];
    public static int dp2[] = new int[MAX_N];
    public static void main(String args[]) {
        Scanner in = new Scanner(System.in);
        int n = in.nextInt();
        for(int i=1;i<=n;i++){
            a[i] = in.nextInt();
        }
        dp1[1] = 0;
        for(int i=1;i<=n;i++)
            for(int j=1;j<i;j++)
                if(a[i] > a[j])
                    dp1[i] = max(dp1[i],dp1[j]+1);
        for(int i=n;i>=1;i--)
            for(int j=n;j>i;j--)
                if(a[i] > a[j])
                    dp2[i] = max(dp2[i],dp2[j]+1);
        int mmax = 0;
        for(int i=1;i<=n;i++)
            mmax = max(mmax,dp1[i]+dp2[i]);
        System.out.println(n-mmax-1);
    }

    public static int max(int a,int b){
        return a>b?a:b;
    }
}