We have three containers, whose sizes are 10 pints, 7 pints, and 4 pints. The 7-pint and 4-pint containers are full of water, while the 10-pint container is empty. We are only allowed one operation: pouring the contents on one container into another, stopping only when the source container is empty, or the destination container is empty. Determine if there is a sequence of pourings that leave exactly 2 pints in the 7- or 4- pint container. Model this as a graph problem. Trying solving the general version where there are three containers of integer capacities of a maximum of n. The starting configuration is provided, and we have some desired end state. Determine if the end state can be achieved. Work out the running time.