Monte Carlo program to calculate weight
weight expected = 4.45321e+06 gram
set seed number to : 12459888
0: eta, phi, theta=-0.930573 , 0.12721 , 2.39038
x,y,z,l=0.0677011 , 0.008659 , -0.0730861 , 0.1
x,y,z,l=0.135402 , 0.017318 , -0.146172 , 0.2
x,y,z,l=0.203103 , 0.025977 , -0.219258 , 0.3
x,y,z,l=0.270805 , 0.034636 , -0.292344 , 0.4
x,y,z,l=0.338506 , 0.043295 , -0.36543 , 0.5
1: eta, phi, theta=-4.00241 , 5.89983 , 3.10505
2: eta, phi, theta=-3.2575 , 3.52286 , 3.06466
3: eta, phi, theta=-0.623617 , 4.11414 , 2.15753
4: eta, phi, theta=-3.22177 , 4.88702 , 3.06187
 itry=10000  total_weight=4.37883e+06 ratio=0.983297
 itry=20000  total_weight=4.40145e+06 ratio=0.988377
 itry=30000  total_weight=4.46572e+06 ratio=1.00281
 itry=40000  total_weight=4.47321e+06 ratio=1.00449
 itry=50000  total_weight=4.48805e+06 ratio=1.00782
 itry=60000  total_weight=4.49177e+06 ratio=1.00866
 itry=70000  total_weight=4.48034e+06 ratio=1.00609
 itry=80000  total_weight=4.48228e+06 ratio=1.00653
 itry=90000  total_weight=4.48155e+06 ratio=1.00636
 itry=100000  total_weight=4.48349e+06 ratio=1.0068