|시간 제한||메모리 제한||제출||정답||맞은 사람||정답 비율|
|1.5 초||256 MB||8||5||5||71.429%|
A grid of size (2n + 1) × (2n + 1) has been constructed as follows. Number 1 has been placed in the center square, number 2 has been placed to the right of it, and the following numbers have been placed along the spiral counterclockwise.
Your task is to calculate answers for q queries where the sum of numbers in an rectangular region in the grid is requested (modulo 109 + 7). For example, in the following grid n = 2 and the sum of numbers in the gray region is 74:
The first input line contains two integers n and q: the size of the grid and the number of queries.
After this, there are q lines, each containing four integers x1, y1, x2 and y2 (-n ≤ x1 ≤ x2 ≤ n, -n ≤ y1 ≤ y2 ≤ n). This means that you should calculate the sum of numbers in a rectangular region with corners (x1, y1) and (x2, y2).
You should output the answer for each query (modulo 109 + 7).
In all subtasks 1 ≤ q ≤ 100.
2 3 0 -2 1 1 -1 0 1 0 1 2 1 2
74 9 14