Search in a 2D Matrix

Given a 2D matrix MAT of size M x N, where M and N represent the number of rows and columns respectively. Each row is sorted in non-decreasing order, and the first element of each row is greater than the last element of the previous row if it exists. Your task is to determine if a given integer TARGET exists within the matrix MAT.

Input:

The first line contains an integer 'T', the number of test cases. For each test case, the first line contains three space-separated integers 'M', 'N', and 'TARGET'. Following this, every test case has 'M' lines with 'N' space-separated integers representing each row of the matrix 'MAT'.

Output:

For each test case, print "TRUE" if TARGET is found in the matrix MAT; otherwise, print "FALSE".

Example:

Sample Input:
2
3 3 78
1 2 4
6 7 8
9 10 34
2 2 8
1 1
4 8
Sample Output:
FALSE
TRUE
Explanation:
  • For the first test case, TARGET = 78 is not present in the matrix.
  • For the second test case, TARGET = 8 is present in the matrix.

Constraints:

  • 1 <= T <= 102
  • 1 <= N <= 50
  • 1 <= M <= 50
  • -105 <= MAT[i], TARGET <= 105
  • Time Limit: 1 sec

Note:

No need to print anything; just implement the function.
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