a c t a a c g a c g a0 1 1 2 3 4 5 6 7 8 2 3 4 a g a g 8 5 6 7 0 1 2 3 4 5 6 87 c - a c g t - -1 -1 -1 -1 a -1 1 -1 -1 -1 c -1 -1 1 -1 -1 g -1 -1 -1 1 -1 t -1 -1 -1 -1 1 g a ga c 2 1 33 2 1 3 3 41 3 2 G a a c g a c g c t a c 3/4 a c g a c g g Trie for A Trie for B 0 13 5 0 3 2 g a g a a 5/4 2 t 4 g 5/2 3/2 left prefix (5/2) diagonal prefix (3,2) top prefix (3,4) Graph G for Block (5,4) LZ78-Partitioned Alignment Graph g a ga c a ga c g a a c a a c 1 2 3 40 1 2 3 4 5 1 4 0 1 2 3 4 DIST(5,4) 0 1 2 3 4 5 -3 -1 1 0 0 -2 -3 -1 -2 -1 -1 -3 -2 -1 0 -2 -2 0 -2 -2 -1 -1 0 -2 0 -1 -2 a g a c g g Trie for A Trie for B 0 13 0 31 2 4 2 t 4 g Block Table 5 c I O I S C E I O i jDIST[i,j ] A B C