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 *w*<sub class="lower-index">*i*</sub> pixels and height *h*<sub class="lower-index">*i*</sub> 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* × *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 ≤ *j* ≤ *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 ≤ *n* ≤ 200 000) — 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 *w*<sub class="lower-index">*i*</sub>, *h*<sub class="lower-index">*i*</sub> (1 ≤ *w*<sub class="lower-index">*i*</sub> ≤ 10, 1 ≤ *h*<sub class="lower-index">*i*</sub> ≤ 1000) — the width and height in pixels of the corresponding rectangle.
import sys

__author__ = 'zumzoom'

n = int(sys.stdin.readline())
A = []
w = 0
h1, h2 = 0, 0
i1 = 0
for line in sys.stdin.readlines()[:n]:
    l = [int(x) for x in line.split()]
    A.append(l[0])
    w += l[0]
    if l[1] > h1:
        h2 = h1
        h1 = l[1]
        i1 = len(A) - 1
    elif l[1] > h2:
        h2 = l[1]

for i in range(n):
    if i == i1:
        print((w - A[i]) * h2, end=' ')
    else:
        print((w - A[i]) * h1, end=' ')
