You are given an array a consisting of n integers. Indices of the array start from zero (i. e. the first element is a_0, the second one is a_1, and so on).

You can reverse at most one subarray (continuous subsegment) of this array. Recall that the subarray of a with borders l and r is a[l; r] = a_l, a_{l + 1}, ..., a_{r}.

Your task is to reverse such a subarray that the sum of elements on even positions of the resulting array is maximized (i. e. the sum of elements a_0, a_2, ..., a_{2k} for integer k = ⌊(n-1)/(2)⌋ should be maximum possible).

You have to answer t independent test cases.

Input

The first line of the input contains one integer t (1 ≤ t ≤ 2 ⋅ 10^4) — the number of test cases. Then t test cases follow.

The first line of the test case contains one integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the length of a. The second line of the test case contains n integers a_0, a_1, ..., a_{n-1} (1 ≤ a_i ≤ 10^9), where a_i is the i-th element of a.

It is guaranteed that the sum of n does not exceed 2 ⋅ 10^5 (∑ n ≤ 2 ⋅ 10^5).

Output

For each test case, print the answer on the separate line — the maximum possible sum of elements on even positions after reversing at most one subarray (continuous subsegment) of a.

Example

Input


4
8
1 7 3 4 7 6 2 9
5
1 2 1 2 1
10
7 8 4 5 7 6 8 9 7 3
4
3 1 2 1


Output


26
5
37
5
import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.math.BigInteger;
import java.nio.Buffer;
import java.util.*;

public class ssss {
    public static void main(String[] args){
        try {
            PrintWriter out=new PrintWriter(System.out,true);
            BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
            int t=Integer.parseInt(br.readLine());
            for(int i=0;i<t;i++){
                int n=Integer.parseInt(br.readLine());
                String[] s=br.readLine().split(" ");
                long[] arr=new long[n];
                for(int j=0;j<n;j++){
                    arr[j]=Long.parseLong(s[j]);
                }
                long ans=0;
                for(int j=0;j<n;j+=2){
                    ans+=arr[j];
                }
                long max=0,val=0;
                for(int j=0;j<n;j+=2){
                    if(j!=n-1){
                        val+=(arr[j+1]-arr[j]);
                        if(val<0){
                            val=0;
                        }
                        max=Math.max(max,val);
                    }
                }
                val=0;
                for(int j=1;j<n;j+=2){
                    if(j!=n-1){
                        val+=(arr[j]-arr[j+1]);
                        if(val<0){
                            val=0;
                        }
                        max=Math.max(max,val);
                    }
                }
                if(max>0){
                    ans+=max;
                }
                System.out.println(ans);
            }
            out.close();
        } catch (Exception e) {
            System.out.println("kkkk "+ e.getMessage());
        }

    }
    static boolean isPal(String s){
        StringBuilder str=new StringBuilder(s);
        str=str.reverse();
        String ss=String.valueOf(str);
        if (ss.equals(s)) {
            return true;
        }
        return false;
    }
    static int mod(int a,int b){
        if (a>b){
            return a-b;
        }
        return b-a;
    }
    static void shuffle(int[] a) {
        Random get = new Random();
        for (int i = 0; i < a.length; i++) {
            int r = get.nextInt(a.length);
            int temp = a[i];
            a[i] = a[r];
            a[r] = temp;
        }
    }
    static int lcm(int a,int b){
        long c=a*b;
        return (int)(c/hcf(a,b));
    }
    static int hcf(int a,int b){
        if(a==0){
            return b;
        }
        if(b==0){
            return a;
        }
        if(a>b)
            return hcf(a%b,b);

        return hcf(a,b%a);
    }
    static void dfs(ArrayList<HashSet<Integer>> list,boolean[] vis,int i){
        vis[i]=true;
        Iterator<Integer> it=list.get(i).iterator();
        while(it.hasNext()){
            int u=it.next();
            if(!vis[u]){
                dfs(list,vis,u);
            }
        }
    }
    static int modInverse(int x,int m){
        return power(x,m-2,m);
    }
    static int power(int x, int y, int m)
    {
        if (y == 0)
            return 1;

        long p = power(x, y / 2, m) % m;
        p = (p * p) % m;

        return (int)((y%2==0)? p : (x*p)%m);
    }
    static class pair{
        int a,b;
        public pair(int a,int b){
            this.a=a;
            this.b=b;
        }
    }

}
