A row of number cards hides a list of lists: 0 ends a group and 0 0 ends the input. The parser page draws that structure onto the cards. The summer page adds each group. Move the cards and the projection updates.
0 between the 3 and the 4. The group splits in two, with a sum for each half.0 out of the row. The groups on either side merge.0 0 pair away. The stop disappears and 7 8 waits for a closing 0.