Interesting olympiad math problem in grade six: a pot of wine

The following is an article about the sixth grade interesting olympiad: a pot of wine for your reference!

In Zhu Shijie, a mathematician in the Yuan Dynasty, there is a poem in his mathematical work Philip Burkart Meets:

I have a pot of wine, and I want to take Youchun with me.

Meet a store, double it, and each friend drinks a bucket.

The shop friend passed through three places and lost the wine in the pot.

May I ask how much wine is in this pot?

The main idea of the poem is: I took a pot of wine for a spring outing, and every hotel paid for it on the way, increasing the wine in the pot by 1 times; Every time you meet a friend, you should pour a glass and drink 1 barrel. Along the way, * * * met the hotel and met friends three times, and all the wine in the pot was gone. Excuse me, how much wine is there in this pot?

This poem is actually a math problem, a math problem in the form of a poem.

Because the last remaining wine is 0 barrels, the amount of alcohol in the pot is 0 before drinking with the third friend on the road.

0+ 1= 1 (barrel).

Before entering the third hotel, the amount of alcohol in the pot was

Before I met my second friend, the amount of alcohol in the pot was

Before entering the second hotel, the amount of alcohol in the pot was

Before I met my first friend, the amount of alcohol in the pot was

Before entering the first hotel, the amount of alcohol in the pot was