$13$:$37$

Return

$11$ point

Burglar John infiltrated a house. Unfortunately, he has a relatively small backpack which helps him to carry at most $45lbs.$ Possessing a discriminating eye, he can immediately determine how much the items worth.

There are $5$ different items available. His aim is to maximize the dollar value of the stuff carried away, the overall weight being less than the weight he can carry by using his backpack. Weight and value of each item is given in the following table.

Item

Weight$($Ibs$.)$

$11530354050$

Value$($$$)$

Available

$2$

$4^3$

$4$

$5$

$5$

$30$

$25$

$45111$ What will be the first item the burglar should choose?