*shell*<2>

bash-3.2$ ./glue.sh 3 A A A 2 3
theoretical result:
-1        0.403918930283
5         0.000807333277269
6         0.00376755529392
7         0.0103159252095
8         0.0218877021837
9         0.0399181453761
10        0.0658425139461
11        0.101096067054
12        0.147114063858
13        0.205331763519
c program with 10^7 simulations:
-1:	0.403751
5:	0.000810
6:	0.003768
7:	0.010321
8:	0.021874
9:	0.039903
10:	0.065843
11:	0.101233
12:	0.147244
13:	0.205253
python program with 10^5 simulations:
-1        0.40313   
5         0.00066   
6         0.0042    
7         0.01023   
8         0.02241   
9         0.04058   
10        0.06539   
11        0.10122   
12        0.14644   
13        0.20574