Codeforces Round #481 (Div. 3) 前缀和+lower_bound

There are $n$ dormitories in Berland State University, they are numbered with integers from $1$ to $n$. Each dormitory consists of rooms, there are $a_i$ rooms in $i$-th dormitory. The rooms in $i$-th dormitory are numbered from $1$ to $a_i$.

A postman delivers letters. Sometimes there is no specific dormitory and room number in it on an envelope. Instead of it only a room number among all rooms of all $n$ dormitories is written on an envelope. In this case, assume that all the rooms are numbered from $1$ to $a_1+a_2+\cdots +a_n$ and the rooms of the first dormitory go first, the rooms of the second dormitory go after them and so on.

For example, in case $n=2$, $a_1=3$ and $a_2=5$ an envelope can have any integer from $1$ to $8$ written on it. If the number $7$ is written on an envelope, it means that the letter should be delivered to the room number $4$ of the second dormitory.

For each of $m$ letters by the room number among all $n$ dormitories, determine the particular dormitory and the room number in a dormitory where this letter should be delivered.

Input

The first line contains two integers $n$ and $m$ $(1\le n,m\le 2\cdot {10}^5)$ — the number of dormitories and the number of letters.

The second line contains a sequence $a_1,a_2,\dots ,a_n$ $(1\le a_i\le {10}^{10})$, where $a_i$ equals to the number of rooms in the $i$-th dormitory. The third line contains a sequence $b_1,b_2,\dots ,b_m$ $(1\le b_j\le a_1+a_2+\cdots +a_n)$, where $b_j$ equals to the room number (among all rooms of all dormitories) for the $j$-th letter. All $b_j$ are given in increasing order.

Output

Print $m$ lines. For each letter print two integers $f$ and $k$ — the dormitory number $f$ $(1\le f\le n)$ and the room number $k$ in this dormitory $(1\le k\le a_f)$ to deliver the letter.

Examples

input

Copy

3 6
10 15 12
1 9 12 23 26 37

output

Copy

1 1
1 9
2 2
2 13
3 1
3 12

input

Copy

2 3
5 10000000000
5 6 9999999999

output

Copy

1 5
2 1
2 9999999994

Note

In the first example letters should be delivered in the following order:

• the first letter in room $1$ of the first dormitory
• the second letter in room $9$ of the first dormitory
• the third letter in room $2$ of the second dormitory
• the fourth letter in room $13$ of the second dormitory
• the fifth letter in room $1$ of the third dormitory
• the sixth letter in room $12$ of the third dormitory

题意:给出宿舍楼的数量和一栋宿舍楼的房间数量，按顺序排序，给出房间号，确定宿舍楼号

思路:前缀和+lower_bound

需要注意的是lower_bound的使用

#include
using namespace std;
const int N =2e5+5;
typedef long long ll;
int n,m;
ll a[N],b;
ll sum[N];
int main()
{
    cin>>n>>m;
    memset(sum,0,sizeof(sum));
    for(int i=1; i<=n; i++)
    {
        cin>>a[i];
        sum[i]=sum[i-1]+a[i];
       // cout<>b;   //2种方法一样，求出的是最小
         int pos=lower_bound(sum+1,sum+1+n,b)-(sum); //int pos=lower_bound(sum+1,sum+1+n,b)-(sum+1);
         cout<