|시간 제한||메모리 제한||제출||정답||맞은 사람||정답 비율|
|8 초||512 MB||90||38||33||41.772%|
You are evaluating constructions plans for a giant new hangar that will house an airplane assembly line. The hangar floor can be represented as a rectangular grid consisting of n rows and n columns where every cell is either empty or blocked. The rows are numbered with integers 1 through n top to bottom, while the columns are numbered with integers 1 through n left to right.
It is important that large crates containing airplane parts can be freely moved between various locations inside the hangar. We can model a crate as a square aligned with grid cells and centered in one of the cells. Therefore, for an odd integer k, a crate of size k consists of cells in k consecutive rows and k consecutive columns. The crate can be moved up, down, left or right as long as it fits completely inside the grid and never contains a blocked cell.
You are given q pairs of cells Ak and Bk . For each pair, find the size of the largest crate that can be centered in Ak and then moved across the hangar floor until it’s centered in Bk .
The first line contains an integer n (2 ≤ n ≤ 1 000) — the size of the hangar floor. Each of the following n lines contains a string of exactly n characters describing one row of the floor. The character “#” denotes a blocked cell while the character “.” denotes an empty cell.
The following line contains an integer q (1 ≤ q ≤ 300 000) — the number of queries. The k-th of the following q lines contains four integers rAk , cAk ,rBk , cBk (1 ≤ rAk , cAk ,rBk , cBk ≤ n) — the row number and column number of cells Ak and Bk respectively. Cell Ak will be different than the cell Bk . Also, both cells will always be empty
Output q lines. The k-th line should contain a single integer sk — the size of the largest crate that can be moved from Ak to Bk . If no crate can be moved from Ak to Bk then sk should be 0.
7 .....#. ...#.#. ....#.. ....### ....#.. #...... ....... 5 2 5 5 2 2 5 3 6 2 2 6 3 2 2 6 6 1 1 7 7
1 0 3 1 1