{"raw_statement":[{"iden":"problem statement","content":"You are given two integer sequences of length $N$: $a_1,a_2,..,a_N$ and $b_1,b_2,..,b_N$. Determine if we can repeat the following operation zero or more times so that the sequences $a$ and $b$ become equal.\nOperation: Choose two integers $i$ and $j$ (possibly the same) between $1$ and $N$ (inclusive), then perform the following two actions **simultaneously**:\n\n*   Add $2$ to $a_i$.\n*   Add $1$ to $b_j$."},{"iden":"constraints","content":"*   $1 ≤ N ≤ 10$ $000$\n*   $0 ≤ a_i,b_i ≤ 10^9$ ($1 ≤ i ≤ N$)\n*   All input values are integers."},{"iden":"input","content":"Input is given from Standard Input in the following format:\n\n$N$\n$a_1$ $a_2$ $..$ $a_N$\n$b_1$ $b_2$ $..$ $b_N$"},{"iden":"sample input 1","content":"3\n1 2 3\n5 2 2"},{"iden":"sample output 1","content":"Yes\n\nFor example, we can perform three operations as follows to do our job:\n\n*   First operation: $i=1$ and $j=2$. Now we have $a = {3,2,3}$, $b = {5,3,2}$.\n*   Second operation: $i=1$ and $j=2$. Now we have $a = {5,2,3}$, $b = {5,4,2}$.\n*   Third operation: $i=2$ and $j=3$. Now we have $a = {5,4,3}$, $b = {5,4,3}$."},{"iden":"sample input 2","content":"5\n3 1 4 1 5\n2 7 1 8 2"},{"iden":"sample output 2","content":"No"},{"iden":"sample input 3","content":"5\n2 7 1 8 2\n3 1 4 1 5"},{"iden":"sample output 3","content":"No"}],"translated_statement":null,"sample_group":[],"show_order":["default"],"formal_statement":null,"simple_statement":null,"has_page_source":true}