1373_D. Maximum Sum on Even Positions_10223
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 sys,random
input=sys.stdin.readline
T=int(input())

for _ in range(T):
    n=int(input())
    A=list(map(int,input().split()))

    '''n=random.randint(1,10)
    A=[]
    
    for i in range(n):
        A.append(random.randint(1,10))

    print(n)
    print(*A)'''
    B=[]
    C=[]
    for i in range(0,n,2):
        if (i<n-1):
            B.append(A[i+1]-A[i])

    for i in range(1,n,2):
        if (i<n-1):
            C.append(A[i]-A[i+1])


    ans,mv,maxv=[0,n-1],0,0
    l,r=0,1
    for i in range(len(B)):
        mv=mv+B[i]

        if (mv>maxv):
            r=(i*2)+1
            ans=[l,r]
            maxv=mv

        if (mv<=0):
            l=(i*2)+2
            mv=0

    
    mv=0
    l,r=1,2
    for i in range(len(C)):
        mv=mv+C[i]
        if(mv>maxv):
            r=(i*2)+2
            ans=[l,r]
            maxv=mv

        if (mv<=0):
            l=((i+1)*2)+1
            mv=0
 
    l,r=ans[0],ans[1]
    ans=0

    for i in range(0,min(l,n),2):
        ans=ans+A[i]

    for i in range(l,min(r+1,n)):
        if(i%2!=0):
            ans=ans+A[i]

    for i in range(r+1,n):
        if(i%2==0):
            ans=ans+A[i]

    v=0
    for i in range(0,n,2):
        v=v+A[i]
    ans=max(ans,v)
    print(ans)
        

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
 3
5
17 6 4 4 4
7
19 5 13 11 12 13 5
1
213567876
 4
8
1 7 3 4 8 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
 4
8
1 7 3 4 8 6 2 9
5
1 2 1 2 1
10
7 8 4 5 7 6 8 9 7 3
4
5 1 2 1
 4
8
1 7 3 4 8 6 2 9
5
1 2 1 2 1
10
7 8 4 5 7 6 2 9 7 3
4
5 1 2 1
 4
8
1 7 3 4 8 6 2 9
5
1 2 1 2 1
10
7 8 4 5 7 7 2 9 7 5
4
5 1 2 1
 4
8
1 7 3 4 8 6 2 9
5
1 2 1 2 1
10
7 8 4 5 7 0 2 9 7 5
4
5 1 2 1
 4
8
1 7 3 4 0 6 2 9
5
1 2 1 2 2
10
7 8 4 5 7 0 2 9 7 5
4
5 1 2 1
 3
5
27 6 4 4 4
7
19 5 13 11 12 13 5
1
213567876
 4
8
1 7 3 4 8 6 2 9
5
1 2 1 2 1
10
7 14 4 5 7 6 8 9 7 3
4
3 1 2 1
 4
8
1 7 3 4 8 6 2 9
5
1 2 1 2 1
10
7 8 4 5 7 7 2 15 7 5
4
5 1 2 1
 4
8
1 7 3 4 11 6 2 9
5
1 2 1 2 1
10
7 8 4 5 14 0 2 9 7 5
4
5 1 2 1
 4
8
1 7 3 4 0 6 2 9
5
1 2 1 2 2
10
7 8 4 5 10 0 2 9 7 5
4
5 1 2 1
 4
8
1 7 3 2 0 6 2 9
5
1 2 1 2 2
10
7 8 4 5 7 0 2 9 7 5
4
5 1 2 0
 4
8
1 7 6 4 7 6 2 9
5
2 2 1 2 1
10
7 8 4 5 7 6 8 9 7 3
4
3 1 2 1
 4
8
1 7 3 2 8 6 4 9
5
1 2 1 2 1
10
7 8 4 5 7 6 2 9 7 5
4
5 1 2 1
 4
8
1 7 3 4 8 6 2 1
5
1 2 1 2 1
10
7 8 4 5 7 7 2 15 7 5
4
5 1 2 1
 4
8
1 7 3 4 8 6 2 3
5
1 2 1 2 1
10
7 8 4 5 7 0 2 9 7 5
4
5 0 2 1
 4
8
1 7 3 4 11 6 2 9
5
1 2 1 2 1
10
7 8 4 5 14 0 2 9 13 5
4
5 1 2 1
 4
8
1 7 3 4 0 6 2 9
5
1 2 1 2 1
10
7 4 4 5 12 0 2 9 7 5
4
5 1 2 1
 4
8
1 7 3 4 0 6 2 9
5
1 2 1 2 2
10
7 8 4 5 10 0 2 9 7 5
4
5 1 4 1
 4
8
1 7 3 2 0 6 2 9
5
1 1 1 2 2
10
7 8 4 5 7 0 2 9 7 5
4
5 1 2 0
 4
8
1 7 3 2 8 6 4 9
5
1 2 1 0 1
10
7 8 4 5 7 6 2 9 7 5
4
5 1 2 1
 4
8
1 7 3 4 8 6 2 3
5
1 2 1 2 1
10
9 8 4 5 7 0 2 9 7 5
4
5 0 2 1
 4
8
1 7 3 4 11 6 2 9
5
1 2 1 2 1
10
7 8 6 5 14 0 2 9 13 5
4
5 1 2 1
 4
8
1 7 3 4 0 6 2 18
5
1 2 1 2 1
10
7 4 4 5 12 0 2 9 7 5
4
5 1 2 1
 3
5
27 6 4 4 4
7
36 2 13 11 12 13 8
1
213567876
 4
8
1 7 3 4 11 6 2 9
5
1 2 1 2 1
10
7 8 6 5 14 0 2 9 13 5
4
0 1 2 1
 4
8
1 7 3 4 0 6 2 18
5
1 2 1 0 1
10
7 4 4 5 12 0 2 9 7 5
4
5 1 2 1
 4
8
1 7 2 2 0 6 2 9
5
1 1 1 2 1
10
7 8 4 5 7 0 2 9 7 5
4
5 1 2 0
 4
8
1 7 3 2 8 0 4 9
5
1 2 1 0 1
10
7 8 0 5 7 6 2 9 7 5
4
5 1 2 1
 4
8
1 7 3 4 8 6 2 3
5
1 2 1 2 1
10
9 8 2 5 7 0 4 9 7 5
4
5 0 2 1
 4
8
1 7 3 4 0 6 2 18
5
1 2 1 0 1
10
7 4 4 5 12 0 2 5 7 5
4
5 1 2 1
 4
8
1 0 2 2 0 6 2 9
5
1 1 1 2 1
10
7 8 4 5 7 0 2 9 7 5
4
5 1 2 0
 4
8
1 7 5 4 8 6 2 9
5
1 2 0 2 1
10
2 8 4 5 13 6 2 9 7 3
4
9 1 2 0
 4
8
1 7 3 2 8 0 4 9
5
1 2 1 0 1
10
7 8 0 5 7 6 2 9 13 5
4
5 1 2 1
 4
8
1 7 3 4 11 6 2 9
5
1 2 1 2 1
10
5 8 6 5 14 0 4 9 13 5
4
0 1 2 1
 4
8
1 0 2 2 0 6 2 9
5
1 1 1 2 1
10
7 8 4 5 7 0 2 9 7 5
4
9 1 2 0
 4
8
1 6 5 4 8 6 2 9
5
1 2 0 2 1
10
2 8 4 5 13 6 2 9 7 3
4
9 1 2 0
 4
8
1 10 3 4 8 6 2 3
5
1 3 1 2 1
10
9 8 2 5 7 0 4 9 7 5
4
5 0 2 1
 4
8
1 3 3 4 11 6 2 9
5
1 2 1 2 1
10
5 8 6 5 14 0 4 9 13 5
4
0 1 2 1
 4
8
1 0 2 2 0 6 2 9
5
1 1 1 2 1
10
7 8 4 5 3 0 2 9 7 5
4
9 1 2 0
 4
8
1 6 5 4 8 6 2 9
5
1 2 0 2 1
10
2 8 4 5 25 6 2 9 7 3
4
9 1 2 0
 4
8
1 3 3 4 11 6 2 9
5
1 2 1 2 1
10
5 13 6 5 14 0 4 9 13 5
4
0 1 2 1
 4
8
1 0 2 2 0 11 2 9
5
1 1 1 2 1
10
7 8 4 5 3 0 2 9 7 5
4
9 1 2 0
 4
8
1 6 5 4 8 6 2 9
5
1 2 0 2 1
10
2 8 7 5 25 6 2 9 7 3
4
9 1 2 0
 4
8
1 8 3 4 0 6 2 18
5
1 2 1 0 1
10
7 4 4 3 12 0 2 5 7 6
4
5 1 2 0
 4
8
1 0 2 2 0 0 2 9
5
1 1 1 2 1
10
7 8 4 5 3 0 2 9 7 5
4
9 1 2 0
 4
8
1 6 5 6 8 6 2 9
5
1 2 0 2 1
10
2 8 7 5 25 6 2 9 7 3
4
9 1 2 0
 4
8
1 8 3 4 0 4 2 18
5
1 2 1 0 1
10
7 4 4 3 12 0 2 5 7 6
4
5 1 2 0
 4
8
1 0 2 2 0 0 2 9
5
1 1 1 2 1
10
7 8 4 5 3 0 2 6 7 5
4
9 1 2 0
 4
8
1 6 5 6 8 6 2 9
5
1 2 0 2 1
10
2 8 7 5 25 6 2 9 1 3
4
9 1 2 0
 4
8
0 4 3 6 11 6 2 9
5
1 2 1 2 1
10
5 13 6 5 14 0 4 9 13 5
4
0 1 2 1
 4
8
1 6 5 6 16 6 2 9
5
1 2 0 2 1
10
2 8 7 5 25 6 2 9 1 3
4
9 1 2 0
 4
8
1 0 2 2 0 0 2 9
5
1 1 1 2 1
10
7 8 4 8 3 0 2 6 7 2
4
9 1 2 0
 4
8
1 8 3 4 0 4 2 0
5
1 2 0 0 1
10
7 4 4 3 12 1 2 5 7 6
4
5 1 2 0
 4
8
1 6 5 6 16 6 2 9
5
1 2 0 2 1
10
2 4 1 5 25 6 2 9 1 3
4
9 1 2 0
 4
8
1 8 3 4 0 4 2 0
5
1 1 0 0 1
10
7 4 4 3 12 1 4 5 7 6
4
5 1 2 0
 4
8
1 7 3 4 8 6 2 9
5
1 2 1 2 1
10
7 8 4 5 7 6 2 9 7 5
4
5 1 2 1
 4
8
1 7 3 4 11 6 2 9
5
1 2 1 2 1
10
7 8 4 5 7 0 2 9 7 5
4
5 1 2 1
 4
8
1 7 3 4 0 6 2 9
5
1 2 1 2 1
10
7 8 4 5 7 0 2 9 7 5
4
5 1 2 1
 4
8
1 7 3 4 0 6 2 9
5
1 2 1 2 2
10
7 8 4 5 7 0 2 9 7 5
4
5 1 2 0
 4
8
1 7 3 4 0 6 2 9
5
1 2 1 2 2
10
7 8 4 5 7 0 2 9 7 2
4
5 1 2 0
 4
8
1 7 6 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
 4
8
1 7 3 4 8 6 2 9
5
1 2 1 2 1
10
2 8 4 5 7 6 2 9 7 3
4
5 1 2 1
 4
8
1 7 3 4 8 6 4 9
5
1 2 1 2 1
10
7 8 4 5 7 6 2 9 7 5
4
5 1 2 1
 4
8
1 7 3 4 8 6 2 9
5
1 2 1 2 1
10
7 8 4 5 7 0 2 9 7 5
4
5 0 2 1
 4
8
1 7 3 4 0 6 2 9
5
1 2 1 2 1
10
7 4 4 5 7 0 2 9 7 5
4
5 1 2 1
 3
5
27 6 4 4 4
7
19 2 13 11 12 13 5
1
213567876
 4
8
1 7 3 4 8 6 2 9
5
1 2 0 2 1
10
2 8 4 5 7 6 2 9 7 3
4
5 1 2 1
 3
5
27 6 4 4 4
7
19 2 13 11 12 13 8
1
213567876
 4
8
1 7 6 4 7 6 2 9
5
2 2 1 2 1
10
7 8 4 5 7 6 8 9 7 3
4
3 2 2 1
 4
8
1 7 5 4 8 6 2 9
5
1 2 0 2 1
10
2 8 4 5 7 6 2 9 7 3
4
5 1 2 1
 4
8
1 7 2 2 0 6 2 9
5
1 1 1 2 2
10
7 8 4 5 7 0 2 9 7 5
4
5 1 2 0
 4
8
1 7 5 4 8 6 2 9
5
1 2 0 2 1
10
2 8 4 5 13 6 2 9 7 3
4
5 1 2 1
 4
8
1 7 3 2 8 6 4 9
5
1 2 1 0 1
10
7 8 0 5 7 6 2 9 7 5
4
5 1 2 1
 4
8
1 7 3 4 8 6 2 3
5
1 2 1 2 1
10
9 8 4 5 7 0 4 9 7 5
4
5 0 2 1
 4
8
1 7 5 4 8 6 2 9
5
1 2 0 2 1
10
2 8 4 5 13 6 2 9 7 3
4
5 1 2 0
 4
8
1 7 3 4 11 6 2 9
5
1 2 1 2 1
10
7 8 6 5 14 0 4 9 13 5
4
0 1 2 1
 4
8
1 10 3 4 8 6 2 3
5
1 2 1 2 1
10
9 8 2 5 7 0 4 9 7 5
4
5 0 2 1
 4
8
1 7 3 4 0 6 2 18
5
1 2 1 0 1
10
7 4 4 5 12 0 2 5 7 6
4
5 1 2 1
 4
8
1 7 3 2 8 0 4 9
5
1 2 1 0 1
10
7 8 0 5 7 6 2 9 13 6
4
5 1 2 1
 4
8
1 7 3 4 0 6 2 18
5
1 2 1 0 1
10
7 4 4 3 12 0 2 5 7 6
4
5 1 2 1
 4
8
1 7 3 2 8 0 4 9
5
1 2 1 0 1
10
7 8 1 5 7 6 2 9 13 6
4
5 1 2 1
 4
8
1 7 3 4 0 6 2 18
5
1 2 1 0 1
10
7 4 4 3 12 0 2 5 7 6
4
5 1 2 0
 4
8
1 3 3 6 11 6 2 9
5
1 2 1 2 1
10
5 13 6 5 14 0 4 9 13 5
4
0 1 2 1
 4
8
0 3 3 6 11 6 2 9
5
1 2 1 2 1
10
5 13 6 5 14 0 4 9 13 5
4
0 1 2 1
 4
8
1 8 3 4 0 4 2 18
5
1 2 0 0 1
10
7 4 4 3 12 0 2 5 7 6
4
5 1 2 0
 4
8
1 0 2 2 0 0 2 9
5
1 1 1 2 1
10
7 8 4 5 3 0 2 6 7 2
4
9 1 2 0
 4
8
0 4 3 6 11 6 4 9
5
1 2 1 2 1
10
5 13 6 5 14 0 4 9 13 5
4
0 1 2 1
 4
8
1 8 3 4 0 4 2 18
5
1 2 0 0 1
10
7 4 4 3 12 1 2 5 7 6
4
5 1 2 0
 4
8
1 6 5 6 16 6 2 9
5
1 2 0 2 1
10
2 4 7 5 25 6 2 9 1 3
4
9 1 2 0
 4
8
1 8 3 4 0 4 2 0
5
1 2 0 0 1
10
7 4 4 3 12 1 4 5 7 6
4
5 1 2 0
 4
8
1 6 5 6 16 2 2 9
5
1 2 0 2 1
10
2 4 1 5 25 6 2 9 1 3
4
9 1 2 0
 4
8
2 8 3 4 0 4 2 0
5
1 1 0 0 1
10
7 4 4 3 12 1 4 5 7 6
4
5 1 2 0

26
5
37
5
 27
57
213567876
 26
5
37
5
 26
5
37
7
 26
5
35
7
 26
5
36
7
 26
5
34
7
 26
6
34
7
 37
57
213567876
 26
5
43
5
 26
5
42
7
 26
5
41
7
 26
6
37
7
 24
6
34
7
 26
6
37
5
 24
5
35
7
 21
5
42
7
 21
5
34
7
 26
5
47
7
 26
5
39
7
 26
6
37
9
 24
5
34
7
 24
4
35
7
 21
5
36
7
 26
5
49
7
 35
5
39
7
 37
74
213567876
 26
5
49
3
 35
4
39
7
 24
4
34
7
 22
4
35
7
 21
5
35
7
 35
4
35
7
 18
4
34
7
 26
5
35
11
 22
4
41
7
 26
5
47
3
 18
4
34
11
 25
5
35
11
 24
6
35
7
 24
5
47
3
 18
4
30
11
 25
5
47
11
 24
5
50
3
 23
4
30
11
 25
5
50
11
 36
4
35
7
 12
4
30
11
 27
5
50
11
 34
4
35
7
 12
4
29
11
 27
5
49
11
 25
5
50
3
 31
5
49
11
 12
4
32
11
 18
4
35
7
 31
5
43
11
 18
3
35
7
 26
5
35
7
 26
5
34
7
 26
5
34
7
 26
6
34
7
 26
6
34
7
 26
5
37
5
 26
5
35
7
 26
5
35
7
 26
5
34
7
 26
5
34
7
 37
57
213567876
 26
5
35
7
 37
57
213567876
 26
6
37
5
 26
5
35
7
 24
5
34
7
 26
5
35
7
 24
4
35
7
 21
5
36
7
 26
5
35
7
 26
5
49
3
 24
5
35
7
 35
4
35
7
 22
4
41
7
 35
4
35
7
 22
4
41
7
 35
4
35
7
 24
5
50
3
 24
5
50
3
 34
4
35
7
 12
4
29
11
 25
5
50
3
 34
4
35
7
 31
5
49
11
 18
4
35
7
 31
5
43
11
 18
3
35
7
