Producing Snow

题意翻译

题目描述 Alice非常喜欢雪！ 她每天都会堆一堆$V$ 升的雪，然而每堆雪每天都会融化$T$ 升，当然，要是这堆雪的体积$V<=0$ 时，它就永远消失了。 现在她想知道，$n$ 天中每天融化了多少升雪呢？ 输入输出格式 输入格式： 第一行包括一个整数 $n$ ($1<=N<=10^{5}$ ) 表示天数。 第二行包括 $n$ 个整数 $V_{1},V_{2},...,V_{N}$ 表示每天堆的那堆雪的体积。 第三行包括 $n$ 个整数 $T_{1},T_{2},...,T_{N}$ 表示每天每堆雪熔化的体积。 输出格式： 输出一行 每一天雪总共的熔化量（共 $n$ 个整数）。 Translated by @Playnext

题目描述

Alice likes snow a lot! Unfortunately, this year's winter is already over, and she can't expect to have any more of it. Bob has thus bought her a gift — a large snow maker. He plans to make some amount of snow every day. On day $ i $ he will make a pile of snow of volume $ V_{i} $ and put it in her garden. Each day, every pile will shrink a little due to melting. More precisely, when the temperature on a given day is $ T_{i} $ , each pile will reduce its volume by $ T_{i} $ . If this would reduce the volume of a pile to or below zero, it disappears forever. All snow piles are independent of each other. Note that the pile made on day $ i $ already loses part of its volume on the same day. In an extreme case, this may mean that there are no piles left at the end of a particular day. You are given the initial pile sizes and the temperature on each day. Determine the total volume of snow melted on each day.

输入输出格式

输入格式

The first line contains a single integer $ N $ ( $ 1<=N<=10^{5} $ ) — the number of days. The second line contains $ N $ integers $ V_{1},V_{2},...,V_{N} $ ( $ 0<=V_{i}<=10^{9} $ ), where $ V_{i} $ is the initial size of a snow pile made on the day $ i $ . The third line contains $ N $ integers $ T_{1},T_{2},...,T_{N} $ ( $ 0<=T_{i}<=10^{9} $ ), where $ T_{i} $ is the temperature on the day $ i $ .

输出格式

Output a single line with $ N $ integers, where the $ i $ -th integer represents the total volume of snow melted on day $ i $ .

输入输出样例

输入样例 #1

3
10 10 5
5 7 2

输出样例 #1

5 12 4

输入样例 #2

5
30 25 20 15 10
9 10 12 4 13

输出样例 #2

9 20 35 11 25

说明

In the first sample, Bob first makes a snow pile of volume 10, which melts to the size of 5 on the same day. On the second day, he makes another pile of size 10. Since it is a bit warmer than the day before, the first pile disappears completely while the second pile shrinks to 3. At the end of the second day, he has only a single pile of size 3. On the third day he makes a smaller pile than usual, but as the temperature dropped too, both piles survive till the end of the day.