Some school children discovered that by getting on a weighing machine in couples, and then exchanging places—one at a time—they could get the correct weight of a whole party on the payment of but one cent. They found that in couples they weighed (in pounds): 129, 125, 124, 123, 122, 121, 120, 118, 116 and 114. What was the weight of each one of the fve little girls if taken separately? It proves that they must have been clever scholars or they never would have been able to work out the correct answer to such an interesting puzzle question, which is liable to confuse older heads than theirs. Given a list of 10 integers, representing the weighs of each couple formed from a group of 5 people, determine the weights of each person. Input Input starts with a positive integer T , that denotes the number of test cases. Each test case is described by 10 integers W1, W2, ..., W10 in a single line. T ≤3000;100≤W1 ≤W2 ≤...≤W10 ≤400 Output For each test case, print the case number, followed by the 5 weights asked, separated by spaces. Print these numbers in ascending order. Sample Input 3 114 116 118 120 121 122 123 124 125 129 110 111 114 115 118 118 119 122 123 126 180 190 190 196 196 206 216 216 226 232 Sample Output Case 1: 56 58 60 64 65 Case 2: 53 57 58 61 65 Case 3: 90 90 100 106 126 Guess the weights of the girls