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* Added the doctests - Contributes to #9943 * move work to new branch * [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci * Resolved the error Added the doctests - Contributes to #9943 * Added the doctests - Contributes to #9943 * [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci --------- Co-authored-by: Priyal595 <231030016@juitsolan.in> Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com> Co-authored-by: Christian Clauss <cclauss@me.com>
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co-authored by
Priyal595
pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
Christian Clauss
parent
a07725abb4
commit
5bd6b19c16
@@ -1,15 +1,46 @@
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# An island in matrix is a group of linked areas, all having the same value.
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# This code counts number of islands in a given matrix, with including diagonal
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# connections.
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class Matrix: # Public class to implement a graph
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"""This public class represents the 2-Dimensional matrix to count
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the number of islands.An island is the connected group of 1s,including the top,
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down, right, left as well as the diagonal connections.
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>>> matrix1 = Matrix(3, 3, [[1, 1, 0], [0, 1, 0], [1, 0, 1]])
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>>> matrix1.count_islands()
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1
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>>> matrix2 = Matrix(2, 2, [[1, 1], [1, 1]])
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>>> matrix2.count_islands()
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1
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"""
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def __init__(self, row: int, col: int, graph: list[list[bool]]) -> None:
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"""Initializes the matrix with the given number of rows, columns and matrix.
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Args:
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row (int): number of rows in the matrix
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col (int): number of columns in the matrix
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graph (list[list[bool]]): 2-D list of 0s and 1s representing the matrix
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"""
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self.ROW = row
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self.COL = col
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self.graph = graph
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def is_safe(self, i: int, j: int, visited: list[list[bool]]) -> bool:
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"""This checks if the current cell can be included in the current island.
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Args:
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i (int): row index
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j (int): column index
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visited (list[list[bool]]): 2D list tracking the visited cells
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Returns:
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bool: True if the cell is valid and part of the island
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(1 for True and ) for False)
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>>> visited = [[False, False], [False, False]]
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>>> graph = [[1, 0], [0, 1]]
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>>> m = Matrix(2, 2, graph)
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>>> m.is_safe(0, 0, visited)
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1
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>>> m.is_safe(0, 1, visited)
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0
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"""
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return (
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0 <= i < self.ROW
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and 0 <= j < self.COL
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@@ -18,6 +49,19 @@ class Matrix: # Public class to implement a graph
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)
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def diffs(self, i: int, j: int, visited: list[list[bool]]) -> None:
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"""This is the recursive function to mark all the cells visited which
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are connected to (i, j) indices.
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Args:
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i (int): row index
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j (int): column index
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visited (list[list[bool]]): 2D list tracking the visited cells
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>>> visited = [[False, False], [False, False]]
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>>> graph = [[1, 1], [0, 1]]
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>>> m = Matrix(2, 2, graph)
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>>> m.diffs(0, 0, visited)
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>>> visited
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[[True, True], [False, True]]
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"""
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# Checking all 8 elements surrounding nth element
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row_nbr = [-1, -1, -1, 0, 0, 1, 1, 1] # Coordinate order
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col_nbr = [-1, 0, 1, -1, 1, -1, 0, 1]
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@@ -27,6 +71,18 @@ class Matrix: # Public class to implement a graph
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self.diffs(i + row_nbr[k], j + col_nbr[k], visited)
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def count_islands(self) -> int: # And finally, count all islands.
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"""
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This counts all the islands in the given matrix.
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Returns:
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int: the number of islands in the given matrix.
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Example -
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>>> mat = Matrix(1, 1, [[1]])
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>>> mat.count_islands()
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1
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>>> mat2 = Matrix(2, 2, [[0, 0], [0, 0]])
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>>> mat2.count_islands()
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0
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"""
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visited = [[False for j in range(self.COL)] for i in range(self.ROW)]
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count = 0
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for i in range(self.ROW):
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@@ -204,9 +204,11 @@ class Matrix:
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return Matrix(
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[
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[
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self.minors().rows[row][column]
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if (row + column) % 2 == 0
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else self.minors().rows[row][column] * -1
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(
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self.minors().rows[row][column]
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if (row + column) % 2 == 0
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else self.minors().rows[row][column] * -1
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)
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for column in range(self.minors().num_columns)
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]
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for row in range(self.minors().num_rows)
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