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.
def read_data():
    n = int(input())
    data = []
    for i in range(0, n):
        data.append([int(x) for x in input().split(" ")])
    return data


def foo(data):
    g_width = []
    g_height = []
    for row in data:
        g_width.append(row[0])
        g_height.append(row[1])

    g_width = sum(g_width)
    result = []
    for row in data:
        width = g_width - row[0]

        g_height.remove(row[1])
        height = max(g_height)
        g_height.append(row[1])

        result.append(width * height)
    return result


def print_data(data):
    result = ""
    for v in data:
        result += str(v) + " "

    print(result[:len(result) - 1])


print_data(foo(read_data()))
