In the week beginning June $1,30\%$ of the patients who arrived by helicopter at a

hospital trauma unit were ambulatory and $70\%$ were bedridden. One week after

arrivals, $60\%$ of the ambulatory patients had been released, $20\%$ remained ambulatory,

and $20\%$ had become bedridden. After the same amount of time, $10\%$ of bedridden

patients had been released, $20\%$ had become ambulatory, $50\%$ remained bedridden, and

$20\%$ had died. Determine the percentages of helicopter arrivals during the week of June

$1$ who were in each of the four states one week after arrival. Assuming that the

percentages of patients who eventually end up in each of the four states.