A. Death Note

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文章详细介绍了如何使用名为DeathNote的笔记本，在规定天数内遵循特定规则写下指定数量的名字，并通过代码实现每页翻转次数的计算。包括输入输出解析、代码实现与实例演示。

A. Death Note

time limit per test

2 seconds

memory limit per test

256 megabytes

input

standard input

output

standard output

You received a notebook which is called Death Note. This notebook has infinite number of pages. A rule is written on the last page (huh) of this notebook. It says: "You have to write names in this notebook during nn consecutive days. During the ii-th day you have to write exactly aiai names.". You got scared (of course you got scared, who wouldn't get scared if he just receive a notebook which is named Death Notewith a some strange rule written in it?).

Of course, you decided to follow this rule. When you calmed down, you came up with a strategy how you will write names in the notebook. You have calculated that each page of the notebook can contain exactly mm names. You will start writing names from the first page. You will write names on the current page as long as the limit on the number of names on this page is not exceeded. When the current page is over, you turn the page. Note that you always turn the page when it ends, it doesn't matter if it is the last day or not. If after some day the current page still can hold at least one name, during the next day you will continue writing the names from the current page.

Now you are interested in the following question: how many times will you turn the page during each day? You are interested in the number of pages you will turn each day from 11 to nn.

Input

The first line of the input contains two integers nn, mm (1≤n≤2⋅1051≤n≤2⋅105, 1≤m≤1091≤m≤109) — the number of days you will write names in the notebook and the number of names which can be written on each page of the notebook.

The second line contains nn integers a1,a2,…,ana1,a2,…,an (1≤ai≤1091≤ai≤109), where aiai means the number of names you will write in the notebook during the ii-th day.

Output

Print exactly nn integers t1,t2,…,tnt1,t2,…,tn, where titi is the number of times you will turn the page during the ii-th day.

Examples

input

Copy

3 5
3 7 9

output

Copy

0 2 1

input

Copy

4 20
10 9 19 2

output

Copy

0 0 1 1

input

Copy

1 100
99

output

Copy

Note

In the first example pages of the Death Note will look like this [1,1,1,2,2],[2,2,2,2,2],[3,3,3,3,3],[3,3,3,3][1,1,1,2,2],[2,2,2,2,2],[3,3,3,3,3],[3,3,3,3]. Each number of the array describes during which day name on the corresponding position will be written. It is easy to see that you should turn the first and the second page during the second day and the third page during the third day.

直接模拟即可，代码：

#include <iostream>
#include <cstdio>
#include <cstring>

using namespace std;

int main()
{
    int n,m;
    int a[200010];
    int b[200010];
    memset(b,0,sizeof(b));
    scanf("%d%d",&n,&m);
    for(int i=1;i<=n;++i)
        scanf("%d",&a[i]);
    int x=0,y=m;
    for(int i=1;i<=n;++i)
    {
        if(a[i]<y){
            y-=a[i];
            b[i]=0;
        }else{
            a[i]-=y;
            b[i]++;
            x=a[i]/m;
            y=m-a[i]%m;
            b[i]+=x;
        }
    }
    for(int i=1;i<=n;++i)
        printf("%d ",b[i]);
    return 0;
}