I am very confused by this problem, especially with the third test case.

http://codeforces.com/contest/127/problem/C

It says the answer is

76 54

I am wondering why isn't the answer

114 81

Both gives the same final temperature

(143*114 + 81 * 456)/(114 + 81)

273.015384615

(143 * 76 + 456 * 54) / (76 + 54)

273.015384615

Since the temperature is same i thought that the higher values for y1 and y2 should be chosen since that will fill up faster. So, i thought 114 and 81 should be the optimal answer. Please help with this dilemma. I appreciate it!!