Eugeny loves listening to music. He has n songs in his play list. We know that song number i has the duration of t_i minutes. Eugeny listens to each song, perhaps more than once. He listens to song number i c_i times. Eugeny's play list is organized as follows: first song number 1 plays c₁ times, then song number 2 plays c₂ times, ..., in the end the song number n plays c_n times.

Eugeny took a piece of paper and wrote out m moments of time when he liked a song. Now for each such moment he wants to know the number of the song that played at that moment. The moment x means that Eugeny wants to know which song was playing during the x-th minute of his listening to the play list.

Help Eugeny and calculate the required numbers of songs.

Input

The first line contains two integers n, m (1 ≤ n, m ≤ 10⁵). The next n lines contain pairs of integers. The i-th line contains integers c_i, t_i (1 ≤ c_i, t_i ≤ 10⁹) — the description of the play list. It is guaranteed that the play list's total duration doesn't exceed 10⁹ $\text{[math]}$ .

The next line contains m positive integers v₁, v₂, ..., v_m, that describe the moments Eugeny has written out. It is guaranteed that there isn't such moment of time v_i, when the music doesn't play any longer. It is guaranteed that v_i < v_i + 1 (i < m).

The moment of time v_i means that Eugeny wants to know which song was playing during the v_i-th munite from the start of listening to the playlist.

Output

Print m integers — the i-th number must equal the number of the song that was playing during the v_i-th minute after Eugeny started listening to the play list.

Eugeny and Play List

Examples