Distinct Islands Problem Statement
Given a two-dimensional array/list consisting of integers 0s and 1s, where 1 represents land and 0 represents water, determine the number of distinct islands. A group of connected 1s (horizontally or vertically) forms an island.
Note:
Two islands are considered the same if one can be translated to overlap the other without rotation or reflection. If this condition is satisfied, they are considered identical.
Example:
Input:
1 1 0
0 0 1
0 0 1
Output:
2
Explanation:
Here, two islands exist and they cannot be translated to overlap each other, thus they are distinct.
Example:
Input:
1 1 0 0 0
1 1 0 0 0
0 0 0 1 1
0 0 0 1 1
Output:
1
Explanation:
These islands can be translated to overlap each other, thus they are not distinct. Only one distinct island exists.
Input:
N, M
The first two numbers are the dimensions of the array: 'N' rows and 'M' columns.
The subsequent 'N' lines provide the values for each row, with each row containing 'M' space-separated values of the array.
Output:
Total number of distinct islands.
Constraints:
- 0 ≤ N ≤ 1000
- 0 ≤ M ≤ 1000
- Array elements are either 0 or 1
- Time Limit: 1 sec
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Count the number of distinct islands in a 2D array of 0s and 1s.
Identify connected groups of 1s to form islands
Check if islands can be translated to overlap without rotation or reflection
Count the num...read more
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