Acertain string-processing language offers a primitive operation which splits a string into two pieces. since this operationinvolves copying the original string. it takes n units of time for a string of length n, regardless of the location of the cut. suppose, now, that you want to break a string into many pieces. the order in which the breaks are made can affect thetotal running time. for example, if you want to cut a zo-character string at positions 3 and 10, then making the first cut atposition 3 incurs a total cost of 20 + 17 = 37, while doing position 10 first has a better cost of 20 + 10 = 30.give a dynamic programming algorithm that. given the locations of m cuts in a string of length n, finds the minimum costof breaking the string into m + 1 pieces.

Acommercial grade cubical freezer, 4 m on a side, has a composite wall consisting of an exterior sheet of 5.0-mm thick plain carbon steel (kst= 60.5 w/m k), an intermediate layer of 100-mm thick polyurethane insulation (kins 0.02 w/m k), and an inner sheet of 5.0- mm thick aluminium alloy (kal polyurethane insulation and both metallic sheets are each characterized by a thermal contact resistance of r 2.5 x 104 m2 k/w. (a) what is the steady-state cooling load that must be maintained by the refrigerator under conditions for which the outer and inner surface temperatures are 25°c and -5°c, respectively? (b) for power saving purpose, which wall material should be increased/reduced in. thickness in order to reduce 50% of the cooling load found in part (a)? redesign the thickness of the proposed material. 177 w/m-k). adhesive interfaces between the q=575.93 w