One day n friends met at a party, they hadn't seen each other for a long time and so they decided to make a group photo together.

Simply speaking, the process of taking photos can be described as follows. On the photo, each photographed friend occupies a rectangle of pixels: the i-th of them occupies the rectangle of width wi pixels and height hi pixels. On the group photo everybody stands in a line, thus the minimum pixel size of the photo including all the photographed friends, is W \times H, where W is the total sum of all widths and H is the maximum height of all the photographed friends.

As is usually the case, the friends made n photos - the j-th (1 \le j \le n) photo had everybody except for the j-th friend as he was the photographer.

Print the minimum size of each made photo in pixels.

The first line contains integer n (2 \le n \le 200000) - the number of friends.

Then n lines follow: the i-th line contains information about the i-th friend. The line contains a pair of integers wi,hi (1 \le wi \le 10,1 \le hi \le 1000) - the width and height in pixels of the corresponding rectangle.

Print n space-separated numbers b1,b2,...,bn, where bi - the total number of pixels on the minimum photo containing all friends expect for the i-th one.