CF174A Problem About Equation

A group of $ n $ merry programmers celebrate Robert Floyd's birthday. Polucarpus has got an honourable task of pouring Ber-Cola to everybody. Pouring the same amount of Ber-Cola to everybody is really important. In other words, the drink's volume in each of the $ n $ mugs must be the same. Polycarpus has already began the process and he partially emptied the Ber-Cola bottle. Now the first mug has $ a_{1} $ milliliters of the drink, the second one has $ a_{2} $ milliliters and so on. The bottle has $ b $ milliliters left and Polycarpus plans to pour them into the mugs so that the main equation was fulfilled. Write a program that would determine what volume of the drink Polycarpus needs to add into each mug to ensure that the following two conditions were fulfilled simultaneously: - there were $ b $ milliliters poured in total. That is, the bottle need to be emptied; - after the process is over, the volumes of the drink in the mugs should be equal.

The first line contains a pair of integers $ n $ , $ b $ ( $ 2

Print a single number "-1" (without the quotes), if there is no solution. Otherwise, print $ n $ float numbers $ c_{1},c_{2},...,c_{n} $ , where $ c_{i} $ is the volume of the drink to add in the $ i $ -th mug. Print the numbers with no less than 6 digits after the decimal point, print each $ c_{i} $ on a single line. Polycarpus proved that if a solution exists then it is unique. Russian locale is installed by default on the testing computer. Make sure that your solution use the point to separate the integer part of a real number from the decimal, not a comma.