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binary_tree_adjacency_matrix.py
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binary_tree_adjacency_matrix.py
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#!/usr/bin/env python
# -*- coding: utf-8 -*-
#
# binary_tree_adjacency_matrix.py
#
# This program is free software; you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation; either version 2 of the License, or
# (at your option) any later version.
#
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License
# along with this program; if not, write to the Free Software
# Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston,
# MA 02110-1301, USA.
#
#
# please be aware that this algorithm works online for full binary trees with "n" codes
def main():
#choses the number of nodes and either it will be direction or non directinal
n = int(input("how many nodes the tree has? (it needs to be a full tree): "))
try:
choice=input('"d" for directional and "n" for non directional: ').lower()
if choice not in ("d","n"):
raise Exception("not d")
except "neither d or f":
print("please only d or n")
while choice not in ("d","n"):
choice=input('"d" for directional and "n" for non directional ').lower()
matrix=[]
line=[]
#initializes a "n x n" matrix
for lines in range(n):
for columns in range(n):
line.append(0)
matrix.append(line)
line=[]
#begins to change the matrix values (thinking of a tree with the root as node 1)
finalnode=(n//2)
for posi in range(1,finalnode+1,1):
matrix[posi-1][(posi*2)-1]=1
matrix[posi-1][(posi*2)]=1
if choice == "n":
matrix[(posi*2)-1][posi-1]=1
matrix[posi*2][posi-1]=1
#prints the matrix
for l in range(n):
for c in range(n):
print("%d"%(matrix[l][c]),end=" ")
print(" ")
if __name__ == "__main__":
main()