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The liighting of Chanukah lights forwards or backwards is dependent according to the Pnei Yehoshua on how the neis occured. The Beis Yosef asks the question why light for eight days when there was oil for one day? He answers that they divided the oil for eight days using everyday an 1/8 of the oil. The neis was not realized in the menorah as it could be that it could be the whole oil of the pitcher was used. Rather, it was recognized through the pitcher where the oil was day by day duminished. The first day 8/8, second day 7/8 and so on. This is the view of the Beis Shanai. However, the Beis Hilel says that they used the first day the whole pitcher oil and it increased every day, so the neis also increased every day. Rav Chaim asks, how can you use the additional oil as it is oil of a neis? He answers that oil did not physically incrrease but the same oil was able to burn longer.
The Chasam Sofer says that as they lit in the open yard, it used more oil so there was a neis even the first day. The Shaltis interprets the gemora that even for one day there waa not enough oil. When there is exact pitcher of oil, some is left in the pitcher when it is poured in the menorah.