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Merge 0d5c25c839
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f397e28164
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@ -1,14 +1,47 @@
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def print_dist(dist, v):
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"""
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Print vertex distance
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Examples:
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>>> print_dist([float('inf'),float('inf'),float('inf')], 3)
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<BLANKLINE>
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Vertex Distance
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0 INF
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1 INF
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2 INF
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>>> print_dist([2.0,6.0,10.0,3.0], 4)
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<BLANKLINE>
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Vertex Distance
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0 2
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1 6
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2 10
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3 3
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>>> print_dist([], 4)
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Traceback (most recent call last):
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...
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IndexError: list index out of range
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"""
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print("\nVertex Distance")
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for i in range(v):
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if dist[i] != float("inf"):
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print(i, "\t", int(dist[i]), end="\t")
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print(i, " ", int(dist[i]), end="")
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else:
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print(i, "\t", "INF", end="\t")
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print(i, " ", "INF", end="")
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print()
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def min_dist(mdist, vset, v):
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"""
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Finds the index of the node with the minimum distance between no-visited nodes
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Examples:
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>>> dist = [0.0, float('inf'), float('inf'), float('inf')]
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>>> set = [False, False, False, False]
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>>> min_dist(dist, set, 4)
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0
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>>> min_dist([], [], 0)
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-1
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"""
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min_val = float("inf")
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min_ind = -1
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for i in range(v):
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@ -19,6 +52,30 @@ def min_dist(mdist, vset, v):
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def dijkstra(graph, v, src):
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"""
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Dijkstra's algorithm to calculate the shortest distances from the src source node
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to all other nodes in a graph represented as an adjacency matrix.
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Examples:
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>>> G1 = [[0.0, 6.0, 2.0, float('inf')],
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... [float('inf'), 0.0, 9.0, 1.0],
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... [float('inf'), float('inf'), 0.0, 3.0],
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... [float('inf'), float('inf'), float('inf'), 0.0]]
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>>> dijkstra(G1, 4, 5)
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Traceback (most recent call last):
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...
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IndexError: list assignment index out of range
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>>> G2 = [[0.0, 6.0, 2.0, float('inf')],
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... [float('inf'), 0.0, 9.0, 1.0],
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... [float('inf'), float('inf'), 0.0, 3.0],
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... [float('inf'), float('inf'), float('inf'), 0.0]]
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>>> dijkstra(G2, 4, 0)
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<BLANKLINE>
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Vertex Distance
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0 0
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1 6
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2 2
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"""
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mdist = [float("inf") for _ in range(v)]
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vset = [False for _ in range(v)]
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mdist[src] = 0.0
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@ -39,6 +96,10 @@ def dijkstra(graph, v, src):
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if __name__ == "__main__":
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import doctest
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doctest.testmod(verbose=True)
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V = int(input("Enter number of vertices: ").strip())
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E = int(input("Enter number of edges: ").strip())
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@ -1,4 +1,27 @@
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def quick_sort_3partition(sorting: list, left: int, right: int) -> None:
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""" "
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Python implementation of quick sort algorithm with 3-way partition.
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The idea of 3-way quick sort is based on "Dutch National Flag algorithm".
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:param sorting: sort list
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:param left: left endpoint of sorting
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:param right: right endpoint of sorting
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:return: None
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Examples:
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>>> array1 = [5, -1, -1, 5, 5, 24, 0]
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>>> quick_sort_3partition(array1, 0, 6)
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>>> array1
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[-1, -1, 0, 5, 5, 5, 24]
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>>> array2 = [9, 0, 2, 6]
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>>> quick_sort_3partition(array2, 0, 3)
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>>> array2
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[0, 2, 6, 9]
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>>> array3 = []
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>>> quick_sort_3partition(array3, 0, 0)
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>>> array3
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[]
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"""
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if right <= left:
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return
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a = i = left
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