At last! The seemingly disorganized segment rule!

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Basically, we've been dealing with expansions of hockey sticks that have the same orientation so far. Well, it's time to stop! This segment rule is the expansion of hockey sticks pointing in different directions.

In the figure, 126=70+56, but 70=35+35, and 35=15+20, yet 15=5+10, and so on.

Notice that 70=35+20+15 (table rule). But we chose to expand 15, which is 5+4+6 (table rule again). Finally, 6+3+2+1 by the hockey stick rule. As you can see, the seemingly disorganized segment rule is a combo of many other rules. Maybe that's why I put it last.