# Python – Convert Matrix to Coordinate Dictionary

Sometimes, while working with Python dictionaries, we can have problem in which we need to perform the conversion of matrix elements to their coordinate list. This kind of problem can come in many domains including day-day programming and competitive programming. Lets discuss certain ways in which this task can be performed.

Input : test_list = [[‘g’, ‘g’, ‘g’], [‘g’, ‘g’, ‘g’]]
Output : {‘g’: {(0, 1), (1, 2), (0, 0), (1, 1), (1, 0), (0, 2)}}

Input : test_list = [[‘a’, ‘b’, ‘c’]]
Output : {‘a’: {(0, 0)}, ‘b’: {(0, 1)}, ‘c’: {(0, 2)}}

Method #1 : Using loop + `enumerate()`
The combination of above functionalities can be used to perform this task. In this, we use brute force to extract elements and assign indices to them with the help of enumerate().

 `# Python3 code to demonstrate working of  ` `# Convert Matrix to Coordinate Dictionary ` `# Using loop + enumerate() ` ` `  `# initializing list ` `test_list ``=` `[[``'g'``, ``'f'``, ``'g'``], [``'i'``, ``'s'``, ``'g'``], [``'b'``, ``'e'``, ``'s'``, ``'t'``]] ` ` `  `# printing original list ` `print``(``"The original list is : "` `+` `str``(test_list)) ` ` `  `# Convert Matrix to Coordinate Dictionary ` `# Using loop + enumerate() ` `res ``=` `dict``() ` `for` `idx, sub ``in` `enumerate``(test_list): ` `    ``for` `j, ele ``in` `enumerate``(sub): ` `        ``if` `ele ``in` `res: ` `            ``res[ele].add((idx, j)) ` `        ``else``: ` `            ``res[ele] ``=` `{(idx, j)} ` ` `  `# printing result  ` `print``(``"The Coordinate Dictionary : "` `+` `str``(res))  `

Output :

The original list is : [[‘g’, ‘f’, ‘g’], [‘i’, ‘s’, ‘g’], [‘b’, ‘e’, ‘s’, ‘t’]]
The Coordinate Dictionary : {‘g’: {(1, 2), (0, 0), (0, 2)}, ‘f’: {(0, 1)}, ‘t’: {(2, 3)}, ‘i’: {(1, 0)}, ‘b’: {(2, 0)}, ‘e’: {(2, 1)}, ‘s’: {(1, 1), (2, 2)}}

Method #2 : Using `setdefault()` + loop
This method operates in similar way as above, just the difference is that `setdefault()` reduces the task of memoizing the element value and key presence checks.

 `# Python3 code to demonstrate working of  ` `# Convert Matrix to Coordinate Dictionary ` `# Using setdefault() + loop ` ` `  `# initializing list ` `test_list ``=` `[[``'g'``, ``'f'``, ``'g'``], [``'i'``, ``'s'``, ``'g'``], [``'b'``, ``'e'``, ``'s'``, ``'t'``]] ` ` `  `# printing original list ` `print``(``"The original list is : "` `+` `str``(test_list)) ` ` `  `# Convert Matrix to Coordinate Dictionary ` `# Using setdefault() + loop ` `res ``=` `dict``() ` `for` `idx, ele ``in` `enumerate``(test_list): ` `    ``for` `j, sub ``in` `enumerate``(ele): ` `        ``res.setdefault(sub, ``set``()).add((idx, j)) ` ` `  `# printing result  ` `print``(``"The Coordinate Dictionary : "` `+` `str``(res))  `

Output :

The original list is : [[‘g’, ‘f’, ‘g’], [‘i’, ‘s’, ‘g’], [‘b’, ‘e’, ‘s’, ‘t’]]
The Coordinate Dictionary : {‘g’: {(1, 2), (0, 0), (0, 2)}, ‘f’: {(0, 1)}, ‘t’: {(2, 3)}, ‘i’: {(1, 0)}, ‘b’: {(2, 0)}, ‘e’: {(2, 1)}, ‘s’: {(1, 1), (2, 2)}}

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