# binary-trees Python 3 #4 program

## source code

```# The Computer Language Benchmarks Game
# https://salsa.debian.org/benchmarksgame-team/benchmarksgame/
#
# contributed by Antoine Pitrou
# modified by Dominique Wahli and Daniel Nanz
# modified by Joerg Baumann
# modified by Jonathan Ultis

import sys
import multiprocessing as mp

def make_tree(dd):
if dd > 0:
return (make_tree(dd-1), make_tree(dd-1))
return (None, None)

def check_tree(node):
l, r = node
if l is None:
return 1
else:
return 1 + check_tree(l) + check_tree(r)

def make_check(dd, make=make_tree, check=check_tree):
return check(make(dd))

def main(n, min_depth=4):

max_depth = max(min_depth + 2, n)
stretch_depth = max_depth + 1

if mp.cpu_count() > 1:
pool = mp.Pool()
chunkmap = pool.map
else:
chunkmap = map

print('stretch tree of depth {0}\t check: {1}'.format(
stretch_depth, make_check(stretch_depth)))

long_lived_tree = make_tree(max_depth)

mmd = max_depth + min_depth
for dd in range(min_depth, stretch_depth, 2):
ii = 2 ** (mmd - dd)
cs = sum(chunkmap(make_check, (dd,)*ii))
print('{0}\t trees of depth {1}\t check: {2}'.format(ii, dd, cs))

print('long lived tree of depth {0}\t check: {1}'.format(
max_depth, check_tree(long_lived_tree)))

if __name__ == '__main__':
main(int(sys.argv[1]))

```

## notes, command-line, and program output

```NOTES:
Python 3.12.3

Mon, 27 May 2024 21:44:23 GMT

MAKE:
mv binarytrees.python3-4.python3 binarytrees.python3-4.py
pyright .
0 errors, 0 warnings, 0 informations

4.24s to complete and log all make actions

COMMAND LINE:
/opt/src/Python-3.12.3/bin/python3 -OO binarytrees.python3-4.py 21

PROGRAM OUTPUT:
stretch tree of depth 22	 check: 8388607
2097152	 trees of depth 4	 check: 65011712
524288	 trees of depth 6	 check: 66584576
131072	 trees of depth 8	 check: 66977792
32768	 trees of depth 10	 check: 67076096
8192	 trees of depth 12	 check: 67100672
2048	 trees of depth 14	 check: 67106816
512	 trees of depth 16	 check: 67108352
128	 trees of depth 18	 check: 67108736
32	 trees of depth 20	 check: 67108832
long lived tree of depth 21	 check: 4194303
```