B'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 a1 milliliters of the drink, the second one has a2 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: The first line contains a pair of integers n, b (2 xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89n xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89100, xe2 x80 x891 xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89b xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89100), where n is the total number of friends in the group and b is the current volume of drink in the bottle. The second line contains a sequence of integers a1, xe2 x80 x89a2, xe2 x80 x89..., xe2 x80 x89an (0 xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89ai xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89100), where ai is the current volume of drink in the i-th mug. Print a single number "-1" (without the quotes), if there is no solution. Otherwise, print n float numbers c1, xe2 x80 x89c2, xe2 x80 x89..., xe2 x80 x89cn, where ci 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 ci 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.'...