#include <bits/stdc++.h>
const int maxn = 2e5 + 10;
long long d1[maxn], d2[maxn], a[maxn], dp[maxn];
int main() {
  int t;
  scanf("%d", &t);
  while (t--) {
    int n;
    scanf("%d", &n);
    for (int i = 0; i < n; i++) {
      scanf("%d", a + i);
    }
    for (int i = 0; i < n - 1; i += 2) {
      d1[i] = a[i + 1] - a[i];
    }
    for (int i = 1; i < n - 1; i += 2) d2[i] = a[i] - a[i + 1];
    long long ans = 0;
    long long tmp = 0, maxx = -1e18;
    if (d1[0] > 0) dp[0] = d1[0];
    for (int i = 1; i < n; i++) {
      dp[i] = std::max(dp[i - 1] + d1[i], d1[i]);
      ans = std::max(ans, dp[i]);
    }
    dp[0] = d2[0];
    for (int i = 1; i < n; i++) {
      dp[i] = std::max(dp[i - 1] + d2[i], d2[i]);
      ans = std::max(ans, dp[i]);
    }
    long long sum = 0;
    for (int i = 0; i < n; i++) {
      if (i & 1) continue;
      sum += a[i];
    }
    sum += ans;
    printf("%lld\n", sum);
  }
}

### Prompt

Develop a solution in cpp to the problem described below:

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

### Response

```cpp
#include <bits/stdc++.h>
const int maxn = 2e5 + 10;
long long d1[maxn], d2[maxn], a[maxn], dp[maxn];
int main() {
  int t;
  scanf("%d", &t);
  while (t--) {
    int n;
    scanf("%d", &n);
    for (int i = 0; i < n; i++) {
      scanf("%d", a + i);
    }
    for (int i = 0; i < n - 1; i += 2) {
      d1[i] = a[i + 1] - a[i];
    }
    for (int i = 1; i < n - 1; i += 2) d2[i] = a[i] - a[i + 1];
    long long ans = 0;
    long long tmp = 0, maxx = -1e18;
    if (d1[0] > 0) dp[0] = d1[0];
    for (int i = 1; i < n; i++) {
      dp[i] = std::max(dp[i - 1] + d1[i], d1[i]);
      ans = std::max(ans, dp[i]);
    }
    dp[0] = d2[0];
    for (int i = 1; i < n; i++) {
      dp[i] = std::max(dp[i - 1] + d2[i], d2[i]);
      ans = std::max(ans, dp[i]);
    }
    long long sum = 0;
    for (int i = 0; i < n; i++) {
      if (i & 1) continue;
      sum += a[i];
    }
    sum += ans;
    printf("%lld\n", sum);
  }
}

```