{"problem":{"name":"Two Arrays","description":{"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","description_type":"Markdown"},"platform":"AtCoder","limit":{"time_limit":2000,"memory_limit":262144},"difficulty":"None","is_remote":true,"is_sync":true,"sync_url":null,"sign":"apc001_b"},"statements":[{"statement_type":"Markdown","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 $b_j$.\n\n## Constraints\n\n*   $1 ≤ N ≤ 10$ $000$\n*   $0 ≤ a_i,b_i ≤ 10^9$ ($1 ≤ i ≤ N$)\n*   All input values are integers.\n\n## Input\n\nInput is given from Standard Input in the following format:\n\n$N$\n$a_1$ $a_2$ $..$ $a_N$\n$b_1$ $b_2$ $..$ $b_N$\n\n[samples]","is_translate":false,"language":"English"}],"meta":{"iden":"apc001_b","tags":[],"sample_group":[["3\n1 2 3\n5 2 2","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 $a = {5,4,3}$, $b = {5,4,3}$."],["5\n3 1 4 1 5\n2 7 1 8 2","No"],["5\n2 7 1 8 2\n3 1 4 1 5","No"]],"created_at":"2026-03-03 11:01:14"}}