Description: You are given an array $$$a$$$ with $$$n$$$ non-negative integers. You can apply the following operation on it. - Choose two indices $$$l$$$ and $$$r$$$ ($$$1 \le l < r \le n$$$). - If $$$a_l + a_r$$$ is odd, do $$$a_r := a_l$$$. If $$$a_l + a_r$$$ is even, do $$$a_l := a_r$$$. Find any sequence of at most $$$n$$$ operations that makes $$$a$$$ non-decreasing. It can be proven that it is always possible. Note that you do not have to minimize the number of operations. An array $$$a_1, a_2, \ldots, a_n$$$ is non-decreasing if and only if $$$a_1 \le a_2 \le \ldots \le a_n$$$. Input Format: The first line contains one integer $$$t$$$ ($$$1 \le t \le 10^5$$$) — the number of test cases. Each test case consists of two lines. The first line of each test case contains one integer $$$n$$$ ($$$1 \le n \le 10^5$$$) — the length of the array. The second line of each test case contains $$$n$$$ integers $$$a_1, a_2, \ldots, a_n$$$ ($$$0 \le a_i \le 10^9$$$) — the array itself. It is guaranteed that the sum of $$$n$$$ over all test cases doesn't exceed $$$10^5$$$. Output Format: For each test case, print one integer $$$m$$$ ($$$0 \le m \le n$$$), the number of operations, in the first line. Then print $$$m$$$ lines. Each line must contain two integers $$$l_i, r_i$$$, which are the indices you chose in the $$$i$$$-th operation ($$$1 \le l_i < r_i \le n$$$). If there are multiple solutions, print any of them. Note: In the second test case, $$$a$$$ changes like this: - Select indices $$$3$$$ and $$$4$$$. $$$a_3 + a_4 = 3$$$ is odd, so do $$$a_4 := a_3$$$. $$$a = [1, 1000000000, 3, 3, 5]$$$ now. - Select indices $$$1$$$ and $$$2$$$. $$$a_1 + a_2 = 1000000001$$$ is odd, so do $$$a_2 := a_1$$$. $$$a = [1, 1, 3, 3, 5]$$$ now, and it is non-decreasing. In the first and third test cases, $$$a$$$ is already non-decreasing.