Two Arrays

AtCoder

IDapc001_b

Time2000ms

Memory256MB

Difficulty—

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. Operation: Choose two integers $i$ and $j$ (possibly the same) between $1$ and $N$ (inclusive), then perform the following two actions **simultaneously**: * Add $2$ to $a_i$. * Add $1$ to $b_j$. ## Constraints * $1 ≤ N ≤ 10$ $000$ * $0 ≤ a_i,b_i ≤ 10^9$ ($1 ≤ i ≤ N$) * All input values are integers. ## Input Input is given from Standard Input in the following format: $N$ $a_1$ $a_2$ $..$ $a_N$ $b_1$ $b_2$ $..$ $b_N$ [samples]

Samples

Input #1

3
1 2 3
5 2 2

Output #1

Yes

For example, we can perform three operations as follows to do our job:

*   First operation: $i=1$ and $j=2$. Now we have $a = {3,2,3}$, $b = {5,3,2}$.
*   Second operation: $i=1$ and $j=2$. Now we have $a = {5,2,3}$, $b = {5,4,2}$.
*   Third operation: $i=2$ and $j=3$. Now we have $a = {5,4,3}$, $b = {5,4,3}$.

Input #2

5
3 1 4 1 5
2 7 1 8 2

Output #2

No

Input #3

5
2 7 1 8 2
3 1 4 1 5

Output #3

No

API Response (JSON)

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      "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",
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      "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...",
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