Three Families

Three families share a garden. They usually clean the garden together at the end of each week, but last week, family C was on holiday, so family A spent 5 hours, family B spent 4 hours and had everything done. After coming back, family C is willing to pay $90 to the other two families. How much should family A get? You may assume both families were cleaning at the same speed. $90/(5+4)*5=$50? No no no. Think hard. The correct answer is $60. When you figured out why, answer the following question: If family A and B spent x and y hours respectively, and family C paid $z, how much should family A get? It is guaranteed that both families should get non-negative integer dollars. WARNING: Try to avoid floating-point numbers. If you really need to, be careful! Input The first line contains an integer T (T ≤ 100), the number of test cases. Each test case contains three integers x, y, z (1 ≤ x, y ≤ 10, 1 ≤ z ≤ 1000). Output For each test case, print an integer, representing the amount of dollars that family A should get. Sample Input 2 5 4 90 8 4 123 Sample Output 60 123