Iahub likes trees very much. Recently he discovered an interesting tree named propagating tree. The tree consists of n nodes numbered from 1 to n, each node i having an initial value a_i. The root of the tree is node 1.

This tree has a special property: when a value val is added to a value of node i, the value -val is added to values of all the children of node i. Note that when you add value -val to a child of node i, you also add -(-val) to all children of the child of node i and so on. Look an example explanation to understand better how it works.

This tree supports two types of queries:

• "1 x val" − val is added to the value of node x;
• "2 x" − print the current value of node x.

In order to help Iahub understand the tree better, you must answer m queries of the preceding type.

The first line contains two integers n and m (1≤n,m≤200000). The second line contains n integers a₁, a₂, ..., a_n (1≤a_i≤1000). Each of the next n—1 lines contains two integers v_i and u_i (1≤v_i,u_i≤n), meaning that there is an edge between nodes v_i and u_i.

Each of the next m lines contains a query in the format described above. It is guaranteed that the following constraints hold for all queries: 1≤x≤n,1≤val≤1000.

For each query of type two (print the value of node x) you must print the answer to the query on a separate line. The queries must be answered in the order given in the input.