$ ./ana_2.pl 16 4 65536 N=65536, V=4, X=65536 integral(65536)=139415.765849051, integral(0)=136533.333333333 Expected collisions: 2882.43251571807 $ ./ana_2.pl 16 4 16384 N=65536, V=4, X=16384 integral(16384)=136541.854969116, integral(0)=136533.333333333 Expected collisions: 8.52163578287582 $ ./ana_2.pl 14 3 16384 N=16384, V=3, X=16384 integral(16384)=31411.9141476821, integral(0)=30037.3333333333 Expected collisions: 1374.58081434877 $ ./ana_2.pl 16 10 32768 N=65536, V=10, X=32768 integral(32768)=191953.190301726, integral(0)=191952.863492063 Expected collisions: 0.326809662627056