Distributing Parts

You are an assistant director in a new musical play. The play consists of n musical parts, each part must be performed by exactly one actor. After the casting the director chose m actors who can take part in the play. Your task is to assign the parts to actors. However, there are several limitations.

First, each actor has a certain voice range and there are some parts that he cannot sing. Formally, there are two integers for each actor, c_i and d_i (c_i ≤ d_i) — the pitch of the lowest and the highest note that the actor can sing. There also are two integers for each part — a_j and b_j (a_j ≤ b_j) — the pitch of the lowest and the highest notes that are present in the part. The i-th actor can perform the j-th part if and only if c_i ≤ a_j ≤ b_j ≤ d_i, i.e. each note of the part is in the actor's voice range.

According to the contract, the i-th actor can perform at most k_i parts. Besides, you are allowed not to give any part to some actors (then they take part in crowd scenes).

The rehearsal starts in two hours and you need to do the assignment quickly!