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Search In A Sorted 2D Matrix

MEDIUM

7 upvotes

Binary Search

Matrices (2D Arrays)

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Problem

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Search In A Sorted 2D Matrix

Contributed by

Ratnesh

Medium

0/80

7 upvotes

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 )

Input Format:

The first line of the input will contain two integers denoting the dimensions of the matrix ‘N’ and ‘M’. 
The following 'N' lines contain ‘M’ integers.
The next line contains an integer ‘TARGET’.

Output Format:-

The only line contains 1 if 'TARGET' is present otherwise, 0.

Note:-

You don’t need to print anything. Just implement the given function.

Sample Input 1:

Sample Output 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:

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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Search In A Sorted 2D Matrix

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:

Example:

Input Format:

Output Format:-

Note:-

Sample Input 1:

Sample Output 1:

Explanation Of Sample Input 1:

Sample Input 2:

Sample Output 2:

Constraints:

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