Challenge 8c

Problem Statement

Challenge 8c Problem Description JATC loves Banh-mi (a Vietnamese food). His affection for Banh-mi is so much that he always has it for breakfast. This morning, as usual, he buys a Banh-mi and decides to enjoy it in a special way. First, he splits the Banh-mi into n parts, places them on a row and numbers them from 1 through n . For each part i , he defines the deliciousness of the part as x_i belongs to {0,1} . JATC's going to eat those parts one by one. At each step, he chooses arbitrary remaining part and eats it. Suppose that part is the i -th part then his enjoyment of the Banh-mi will increase by x_i and the deliciousness of all the remaining parts will also increase by x_i . The initial enjoyment of JATC is equal to 0. For example, suppose the deliciousness of 3 parts are [0,1,0] . If JATC eats the second part then his enjoyment will become 1 and the deliciousness of remaining parts will become [1, ...] . Next, if he eats the first part then his enjoyment will become 2 and the r