There is a system of n vessels arranged one above the other as shown in the figure below. Assume that the vessels are numbered from 1 to n , in the order from the highest to the lowest, the volume of the i -th vessel is a i liters. Initial
There is a system of n vessels arranged one above the other as shown in the figure below. Assume that the vessels are numbered from 1 to n, in the order from the highest to the lowest, the volume of the i-th vessel is ailiters.
Initially, all the vessels are empty. In some vessels water is poured. All the water that overflows from the i-th vessel goes to the (i + 1)-th one. The liquid that overflows from the n-th vessel spills on the floor.
Your task is to simulate pouring water into the vessels. To do this, you will need to handle two types of queries:
When you reply to the second request you can assume that all the water poured up to this point, has already overflown between the vessels.
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