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Minimum insertions to sort an array .txt
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Minimum insertions to sort an array .txt
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import java.util.*;
import java.lang.*;
import java.io.*;
class GFG
{
public static void main (String[] args) throws IOException
{
BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
StringBuffer sb=new StringBuffer();
int T=Integer.parseInt(br.readLine());
while(T-->0)
{
int n=Integer.parseInt(br.readLine());
String[] s=br.readLine().split("\\s");
int[] arr=new int[n];
for(int i=0;i<n;i++)
{
arr[i]=Integer.parseInt(s[i]);
}
int[] dp=new int[n+1];
Arrays.fill(dp,-1);
int ans=minins(arr,arr.length-1,dp);
for(int x:dp)
{
ans=Math.max(ans,x);
}
ans=arr.length-ans;
sb.append(ans+"\n");
}
System.out.print(sb);
}
public static int minins(int[] arr,int n,int[] dp)
{
if(n<0)
{
return 0;
}
if(dp[n]!=-1)
{
return dp[n];
}
int ret=1;
for(int i=0;i<n;i++)
{
if(arr[i]<=arr[n])
{
ret=Math.max(ret,1+minins(arr,i,dp));
}
}
minins(arr,n-1,dp);
return dp[n]=ret;
}
}