too simple Python 3 program

# The Computer Language Benchmarks Game
# https://salsa.debian.org/benchmarksgame-team/benchmarksgame/

import sys 

# mtime side-effect
with open( './one', 'w') as f: pass

n = int(sys.argv[1])
sum = 0.0
flip = -1.0
for i in range(1,n):    
    flip *= -1.0        
    sum += flip / (2*i - 1)                                      
print("%.9f" % (sum*4.0))
    
# mtime side-effect
with open( './two', 'w') as f: pass
    

NOTES:
64-bit Ubuntu quad core
Python 3.13.0


 Sat, 12 Oct 2024 19:44:43 GMT

MAKE:
mv toosimple.python3 toosimple.py
pyright .
0 errors, 0 warnings, 0 informations 

3.86s to complete and log all make actions

COMMAND LINE:
 /opt/src/Python-3.13.0/bin/python3 -OO toosimple.py 10000000000

PROGRAM OUTPUT:
3.141592654