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Search In A Sorted 2D Matrix

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Contributed by
Ratnesh
Medium
yellow-spark
0/80
7 upvotes
Phone PePublicis SapientJP Morgan Chase

Problem Statement

You are given a 2D matrix ‘MATRIX’ of ‘N’*’M’ dimension. You must check whether a given number ‘target’ is present in the matrix.


The following properties apply to the given matrix:

1. In each row, integers are sorted from left to right.
2. Each row's first integer is greater than the previous row's last integer.

Example:

Input:
'MATRIX' = [ [1, 3, 5, 7], [10, 11, 16, 20], [23, 30, 34, 60] ], 'TARGET' = 3 
Output:1
Explanation: Since the given number ‘TARGET’ is present in the matrix, we return true.
Detailed explanation ( Input/output format, Notes, Images )
Sample Input 1:
3 3
1 3 7
10 12 15
19 20 21
12
Sample Output 1:
1
Explanation Of Sample Input 1:
Input:
'MATRIX' = [ [1, 3, 7], [10, 12, 15], [19, 20, 21] ], 'TARGET' = 12 
Output: 1

Explanation: Since the given number ‘TARGET’ is present in the matrix, we return true.
Sample Input 2:
4 4
1 5 9 13
14 15 16 17
19 20 21 50
59 60 71 80
80
Sample Output 2:
1
Constraints:
1 <= 'N', 'M' <=10^5
1 <= 'MATRIX [ i ] [ j ]', 'TARGET' <= 10^9
The sum of N*M over all test cases is less than 2*10^5.
Time Limit: 1 sec
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