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Update k_smallest_matrix.py
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@ -2,27 +2,22 @@
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# -*- coding: utf-8 -*-
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# author: bt3gl
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# Given an n x n matrix where each of the rows and columns is sorted
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# in ascending order, return the kth smallest element in the matrix.
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def kth_smallest(self, matrix, k) -> int:
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n = len(matrix)
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def kth_smallest(matrix, k) -> int:
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min_heap = []
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for r in range(min(k, n)):
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min_heap.append((matrix[r][0], r, 0))
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for row in range(min(k, len(matrix))):
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min_heap.append((matrix[row][0], row, 0))
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heapq.heapify(min_heap)
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while k:
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element, r, c = heapq.heappop(min_heap)
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if c < n - 1:
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heapq.heappush(min_heap, (matrix[r][c + 1], r, c + 1))
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element, row, col = heapq.heappop(min_heap)
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if col < len(matrix) - 1:
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heapq.heappush(min_heap, (matrix[row][cow + 1], row, col + 1))
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k -= 1
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return element
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