SP15736 BRKSTRNG - Breaking String

A certain string-processing language allows the programmer to break a string into two pieces. Since this involves copying the old string, it costs n units of time to break a string of n characters into two pieces. Suppose a programmer wants to break a string into many pieces. The order in which the breaks are made can affect the total amount of time used. For example, suppose we wish to break a 20 character string after characters 3, 8, and 10 (numbering the characters in ascending order from the left-hand end, starting from 1). If the breaks are made in left-to-right order, then the first break cost 20 units of time, the second break costs 17 units of time, and the third breaks costs 12 units of time, a total of 49 units of time (see the sample below). If the breaks are made in right-to-left order, then the first break costs 20 units of time, the second break costs 10 units of time, and the third break costs 8 units of time, a total of 38 units of time. The cost of making the breaks in left-to-right order: ``` thisisastringofchars (original) thi sisastringofchars (cost:20 units) thi sisas tringofchars (cost:17 units) thi sisas tr ingofchars (cost:12 units) Total: 49 units. ``` The cost of making the breaks in right-to-left order: ``` thisisastringofchars (original) thisisastr ingofchars (cost:20 units) thisisas tr ingofchars (cost:10 units) thi sisas tr ingofchars (cost: 8 units) Total: 38 units. ``` **Input:** There are several test cases! In each test case, the first line contains 2 integers N (2

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