The optimal solutions are listed as follows:

numOfHGT=5    numOfDuplications=2    numOfLoss=2
The set of transfer edge is:
(1,13) (16,22) (17,18) (13,14) (18,19) 
The set of duplication nodes is :
3 4 

numOfHGT=4    numOfDuplications=2    numOfLoss=3
The set of transfer edge is:
(1,2) (17,21) (13,14) (18,19) 
The set of duplication nodes is :
3 4 

numOfHGT=5    numOfDuplications=2    numOfLoss=2
The set of transfer edge is:
(17,21) (2,3) (1,2) (13,14) (18,19) 
The set of duplication nodes is :
3 4 

numOfHGT=5    numOfDuplications=2    numOfLoss=2
The set of transfer edge is:
(17,21) (2,12) (1,2) (13,14) (18,19) 
The set of duplication nodes is :
3 4 

numOfHGT=6    numOfDuplications=2    numOfLoss=1
The set of transfer edge is:
(16,17) (17,18) (2,12) (1,13) (13,14) (18,19) 
The set of duplication nodes is :
3 4 

numOfHGT=6    numOfDuplications=2    numOfLoss=1
The set of transfer edge is:
(16,17) (17,21) (2,12) (1,13) (13,14) (18,19) 
The set of duplication nodes is :
3 4 

numOfHGT=5    numOfDuplications=2    numOfLoss=2
The set of transfer edge is:
(1,13) (16,22) (17,18) (13,14) (18,20) 
The set of duplication nodes is :
3 4 

numOfHGT=5    numOfDuplications=2    numOfLoss=2
The set of transfer edge is:
(17,21) (2,3) (1,13) (13,14) (18,20) 
The set of duplication nodes is :
3 4 

numOfHGT=6    numOfDuplications=2    numOfLoss=1
The set of transfer edge is:
(16,17) (17,18) (2,12) (1,13) (13,14) (18,20) 
The set of duplication nodes is :
3 4 

numOfHGT=6    numOfDuplications=2    numOfLoss=1
The set of transfer edge is:
(16,17) (17,21) (2,12) (1,13) (13,14) (18,20) 
The set of duplication nodes is :
3 4 

numOfHGT=6    numOfDuplications=2    numOfLoss=1
The set of transfer edge is:
(16,22) (1,2) (17,21) (2,3) (13,15) (18,20) 
The set of duplication nodes is :
3 4 

numOfHGT=5    numOfDuplications=2    numOfLoss=2
The set of transfer edge is:
(1,13) (17,21) (2,3) (13,15) (18,20) 
The set of duplication nodes is :
3 4 

numOfHGT=7    numOfDuplications=1    numOfLoss=1
The set of transfer edge is:
(1,13) (16,22) (17,18) (13,14) (18,19) (5,6) (8,9) 
The set of duplication nodes is :
4 

numOfHGT=6    numOfDuplications=1    numOfLoss=2
The set of transfer edge is:
(1,2) (17,21) (13,14) (18,19) (5,6) (8,9) 
The set of duplication nodes is :
4 

numOfHGT=7    numOfDuplications=1    numOfLoss=1
The set of transfer edge is:
(17,21) (2,3) (1,2) (13,14) (18,19) (5,6) (8,9) 
The set of duplication nodes is :
4 

numOfHGT=7    numOfDuplications=1    numOfLoss=1
The set of transfer edge is:
(17,21) (2,12) (1,2) (13,14) (18,19) (5,6) (8,9) 
The set of duplication nodes is :
4 

numOfHGT=8    numOfDuplications=1    numOfLoss=0
The set of transfer edge is:
(16,17) (17,18) (2,12) (1,13) (13,14) (18,19) (5,6) (8,9) 
The set of duplication nodes is :
4 

numOfHGT=8    numOfDuplications=1    numOfLoss=0
The set of transfer edge is:
(16,17) (17,21) (2,12) (1,13) (13,14) (18,19) (5,6) (8,9) 
The set of duplication nodes is :
4 

numOfHGT=8    numOfDuplications=1    numOfLoss=0
The set of transfer edge is:
(16,17) (17,18) (3,4) (2,12) (13,15) (18,19) (5,6) (8,9) 
The set of duplication nodes is :
4 

numOfHGT=8    numOfDuplications=1    numOfLoss=0
The set of transfer edge is:
(16,17) (17,21) (3,4) (2,12) (13,15) (18,19) (5,6) (8,9) 
The set of duplication nodes is :
4 

numOfHGT=7    numOfDuplications=1    numOfLoss=1
The set of transfer edge is:
(1,13) (16,22) (17,18) (13,14) (18,20) (5,6) (8,9) 
The set of duplication nodes is :
4 

numOfHGT=7    numOfDuplications=1    numOfLoss=1
The set of transfer edge is:
(17,21) (2,3) (1,13) (13,14) (18,20) (5,6) (8,9) 
The set of duplication nodes is :
4 

numOfHGT=8    numOfDuplications=1    numOfLoss=0
The set of transfer edge is:
(16,17) (17,18) (2,12) (1,13) (13,14) (18,20) (5,6) (8,9) 
The set of duplication nodes is :
4 

numOfHGT=8    numOfDuplications=1    numOfLoss=0
The set of transfer edge is:
(16,17) (17,21) (2,12) (1,13) (13,14) (18,20) (5,6) (8,9) 
The set of duplication nodes is :
4 

numOfHGT=8    numOfDuplications=1    numOfLoss=0
The set of transfer edge is:
(16,22) (1,2) (17,21) (2,3) (13,15) (18,20) (5,6) (8,9) 
The set of duplication nodes is :
4 

numOfHGT=7    numOfDuplications=1    numOfLoss=1
The set of transfer edge is:
(1,13) (17,21) (2,3) (13,15) (18,20) (5,6) (8,9) 
The set of duplication nodes is :
4 

numOfHGT=8    numOfDuplications=1    numOfLoss=0
The set of transfer edge is:
(16,17) (17,18) (3,4) (2,12) (13,15) (18,20) (5,6) (8,9) 
The set of duplication nodes is :
4 

numOfHGT=8    numOfDuplications=1    numOfLoss=0
The set of transfer edge is:
(16,17) (17,21) (3,4) (2,12) (13,15) (18,20) (5,6) (8,9) 
The set of duplication nodes is :
4 

numOfHGT=8    numOfDuplications=1    numOfLoss=0
The set of transfer edge is:
(16,17) (17,18) (2,12) (13,15) (18,19) (4,5) (5,6) (8,10) 
The set of duplication nodes is :
3 

numOfHGT=8    numOfDuplications=1    numOfLoss=0
The set of transfer edge is:
(16,17) (17,21) (2,12) (13,15) (18,19) (4,5) (5,6) (8,10) 
The set of duplication nodes is :
3 

numOfHGT=8    numOfDuplications=1    numOfLoss=0
The set of transfer edge is:
(16,17) (17,18) (2,12) (13,15) (18,20) (4,5) (5,6) (8,10) 
The set of duplication nodes is :
3 

numOfHGT=8    numOfDuplications=1    numOfLoss=0
The set of transfer edge is:
(16,17) (17,21) (2,12) (13,15) (18,20) (4,5) (5,6) (8,10) 
The set of duplication nodes is :
3 

numOfHGT=8    numOfDuplications=0    numOfLoss=1
The set of transfer edge is:
(1,13) (16,22) (17,18) (13,14) (18,19) (4,8) (5,6) (8,10) 
The set of duplication nodes is :


numOfHGT=7    numOfDuplications=0    numOfLoss=2
The set of transfer edge is:
(1,2) (17,21) (13,14) (18,19) (4,8) (5,6) (8,10) 
The set of duplication nodes is :


numOfHGT=8    numOfDuplications=0    numOfLoss=1
The set of transfer edge is:
(17,21) (2,3) (1,2) (13,14) (18,19) (4,8) (5,6) (8,10) 
The set of duplication nodes is :


numOfHGT=8    numOfDuplications=0    numOfLoss=1
The set of transfer edge is:
(17,21) (2,12) (1,2) (13,14) (18,19) (4,8) (5,6) (8,10) 
The set of duplication nodes is :


numOfHGT=9    numOfDuplications=0    numOfLoss=0
The set of transfer edge is:
(16,17) (17,18) (2,12) (1,13) (13,14) (18,19) (4,8) (5,6) (8,10) 
The set of duplication nodes is :


numOfHGT=9    numOfDuplications=0    numOfLoss=0
The set of transfer edge is:
(16,17) (17,21) (2,12) (1,13) (13,14) (18,19) (4,8) (5,6) (8,10) 
The set of duplication nodes is :


numOfHGT=9    numOfDuplications=0    numOfLoss=0
The set of transfer edge is:
(16,17) (17,18) (3,4) (2,12) (13,15) (18,19) (4,8) (5,6) (8,10) 
The set of duplication nodes is :


numOfHGT=9    numOfDuplications=0    numOfLoss=0
The set of transfer edge is:
(16,17) (17,21) (3,4) (2,12) (13,15) (18,19) (4,8) (5,6) (8,10) 
The set of duplication nodes is :


numOfHGT=8    numOfDuplications=0    numOfLoss=1
The set of transfer edge is:
(1,13) (16,22) (17,18) (13,14) (18,20) (4,8) (5,6) (8,10) 
The set of duplication nodes is :


numOfHGT=8    numOfDuplications=0    numOfLoss=1
The set of transfer edge is:
(17,21) (2,3) (1,13) (13,14) (18,20) (4,8) (5,6) (8,10) 
The set of duplication nodes is :


numOfHGT=9    numOfDuplications=0    numOfLoss=0
The set of transfer edge is:
(16,17) (17,18) (2,12) (1,13) (13,14) (18,20) (4,8) (5,6) (8,10) 
The set of duplication nodes is :


numOfHGT=9    numOfDuplications=0    numOfLoss=0
The set of transfer edge is:
(16,17) (17,21) (2,12) (1,13) (13,14) (18,20) (4,8) (5,6) (8,10) 
The set of duplication nodes is :


numOfHGT=9    numOfDuplications=0    numOfLoss=0
The set of transfer edge is:
(16,22) (1,2) (17,21) (2,3) (13,15) (18,20) (4,8) (5,6) (8,10) 
The set of duplication nodes is :


numOfHGT=8    numOfDuplications=0    numOfLoss=1
The set of transfer edge is:
(1,13) (17,21) (2,3) (13,15) (18,20) (4,8) (5,6) (8,10) 
The set of duplication nodes is :


numOfHGT=9    numOfDuplications=0    numOfLoss=0
The set of transfer edge is:
(16,17) (17,18) (3,4) (2,12) (13,15) (18,20) (4,8) (5,6) (8,10) 
The set of duplication nodes is :


numOfHGT=9    numOfDuplications=0    numOfLoss=0
The set of transfer edge is:
(16,17) (17,21) (3,4) (2,12) (13,15) (18,20) (4,8) (5,6) (8,10) 
The set of duplication nodes is :


numOfHGT=8    numOfDuplications=0    numOfLoss=1
The set of transfer edge is:
(1,13) (16,22) (17,18) (13,14) (18,19) (4,5) (5,7) (8,9) 
The set of duplication nodes is :


numOfHGT=7    numOfDuplications=0    numOfLoss=2
The set of transfer edge is:
(1,2) (17,21) (13,14) (18,19) (4,5) (5,7) (8,9) 
The set of duplication nodes is :


numOfHGT=8    numOfDuplications=0    numOfLoss=1
The set of transfer edge is:
(17,21) (2,3) (1,2) (13,14) (18,19) (4,5) (5,7) (8,9) 
The set of duplication nodes is :


numOfHGT=8    numOfDuplications=0    numOfLoss=1
The set of transfer edge is:
(17,21) (2,12) (1,2) (13,14) (18,19) (4,5) (5,7) (8,9) 
The set of duplication nodes is :


numOfHGT=9    numOfDuplications=0    numOfLoss=0
The set of transfer edge is:
(16,17) (17,18) (2,12) (1,13) (13,14) (18,19) (4,5) (5,7) (8,9) 
The set of duplication nodes is :


numOfHGT=9    numOfDuplications=0    numOfLoss=0
The set of transfer edge is:
(16,17) (17,21) (2,12) (1,13) (13,14) (18,19) (4,5) (5,7) (8,9) 
The set of duplication nodes is :


numOfHGT=9    numOfDuplications=0    numOfLoss=0
The set of transfer edge is:
(16,17) (17,18) (3,4) (2,12) (13,15) (18,19) (4,5) (5,7) (8,9) 
The set of duplication nodes is :


numOfHGT=9    numOfDuplications=0    numOfLoss=0
The set of transfer edge is:
(16,17) (17,21) (3,4) (2,12) (13,15) (18,19) (4,5) (5,7) (8,9) 
The set of duplication nodes is :


numOfHGT=8    numOfDuplications=0    numOfLoss=1
The set of transfer edge is:
(1,13) (16,22) (17,18) (13,14) (18,20) (4,5) (5,7) (8,9) 
The set of duplication nodes is :


numOfHGT=8    numOfDuplications=0    numOfLoss=1
The set of transfer edge is:
(17,21) (2,3) (1,13) (13,14) (18,20) (4,5) (5,7) (8,9) 
The set of duplication nodes is :


numOfHGT=9    numOfDuplications=0    numOfLoss=0
The set of transfer edge is:
(16,17) (17,18) (2,12) (1,13) (13,14) (18,20) (4,5) (5,7) (8,9) 
The set of duplication nodes is :


numOfHGT=9    numOfDuplications=0    numOfLoss=0
The set of transfer edge is:
(16,17) (17,21) (2,12) (1,13) (13,14) (18,20) (4,5) (5,7) (8,9) 
The set of duplication nodes is :


numOfHGT=9    numOfDuplications=0    numOfLoss=0
The set of transfer edge is:
(16,22) (1,2) (17,21) (2,3) (13,15) (18,20) (4,5) (5,7) (8,9) 
The set of duplication nodes is :


numOfHGT=8    numOfDuplications=0    numOfLoss=1
The set of transfer edge is:
(1,13) (17,21) (2,3) (13,15) (18,20) (4,5) (5,7) (8,9) 
The set of duplication nodes is :


numOfHGT=9    numOfDuplications=0    numOfLoss=0
The set of transfer edge is:
(16,17) (17,18) (3,4) (2,12) (13,15) (18,20) (4,5) (5,7) (8,9) 
The set of duplication nodes is :


numOfHGT=9    numOfDuplications=0    numOfLoss=0
The set of transfer edge is:
(16,17) (17,21) (3,4) (2,12) (13,15) (18,20) (4,5) (5,7) (8,9) 
The set of duplication nodes is :


numOfHGT=8    numOfDuplications=1    numOfLoss=0
The set of transfer edge is:
(16,17) (17,18) (2,12) (13,15) (18,19) (4,8) (5,7) (8,9) 
The set of duplication nodes is :
3 

numOfHGT=8    numOfDuplications=1    numOfLoss=0
The set of transfer edge is:
(16,17) (17,21) (2,12) (13,15) (18,19) (4,8) (5,7) (8,9) 
The set of duplication nodes is :
3 

numOfHGT=8    numOfDuplications=1    numOfLoss=0
The set of transfer edge is:
(16,17) (17,18) (2,12) (13,15) (18,20) (4,8) (5,7) (8,9) 
The set of duplication nodes is :
3 

numOfHGT=8    numOfDuplications=1    numOfLoss=0
The set of transfer edge is:
(16,17) (17,21) (2,12) (13,15) (18,20) (4,8) (5,7) (8,9) 
The set of duplication nodes is :
3 

numOfHGT=7    numOfDuplications=2    numOfLoss=0
The set of transfer edge is:
(16,17) (17,18) (2,12) (13,15) (18,19) (5,7) (8,10) 
The set of duplication nodes is :
3 4 

numOfHGT=7    numOfDuplications=2    numOfLoss=0
The set of transfer edge is:
(16,17) (17,21) (2,12) (13,15) (18,19) (5,7) (8,10) 
The set of duplication nodes is :
3 4 

numOfHGT=7    numOfDuplications=2    numOfLoss=0
The set of transfer edge is:
(16,17) (17,18) (2,12) (13,15) (18,20) (5,7) (8,10) 
The set of duplication nodes is :
3 4 

numOfHGT=7    numOfDuplications=2    numOfLoss=0
The set of transfer edge is:
(16,17) (17,21) (2,12) (13,15) (18,20) (5,7) (8,10) 
The set of duplication nodes is :
3 4 


Total Cost=9

Total number of solutions=72