Backpointers recover the most likely hidden state path.

highlighted = computed this step

The final column has a tie

After the final A, states I and N both have value 81/2048. State order breaks the tie in favor of I.

812048=812048\frac{81}{2048}=\frac{81}{2048}
Full trellis and tracebackThe decoded path row is traced from the best final state.Statet0t1t2I3/827/12881/2048N1/83/12881/2048decoded pathIII

Trace pointers back to the path

Following the backpointers gives path I, I, I with joint probability 81/2048.

P(I,I,I,GGA)=812048P(\text{I,I,I},\text{GGA})=\frac{81}{2048}
Full trellis and tracebackThe decoded path row is traced from the best final state.Statet0t1t2I3/827/12881/2048N1/83/12881/2048decoded pathIII