Codeforces Round #297 (Div. 2) 525D Arthur and Walls(dfs)

D. Arthur and Walls

time limit per test

2 seconds

memory limit per test

512 megabytes

input

standard input

output

standard output

Finally it is a day when Arthur has enough money for buying an apartment. He found a great option close to the center of the city with a nice price.

Plan of the apartment found by Arthur looks like a rectangle n × m consisting of squares of size 1 × 1.
Each of those squares contains either a wall (such square is denoted by a symbol "*" on the plan) or a free space (such square is denoted on the plan by a
symbol ".").

Room in an apartment is a maximal connected area consisting of free squares. Squares are considered adjacent if they share a common side.

The old Arthur dream is to live in an apartment where all rooms are rectangles. He asks you to calculate minimum number of walls you need to remove in order to achieve this goal. After removing a wall from a square it becomes a free square. While removing the
walls it is possible that some rooms unite into a single one.

Input

The first line of the input contains two integers n, m (1 ≤ n, m ≤ 2000)
denoting the size of the Arthur apartments.

Following n lines each contain m symbols
— the plan of the apartment.

If the cell is denoted by a symbol "*" then it contains a wall.

If the cell is denoted by a symbol "." then it this cell is free from walls and also this cell is contained in some of the rooms.

Output

Output n rows each consisting of m symbols
that show how the Arthur apartment plan should look like after deleting the minimum number of walls in order to make each room (maximum connected area free from walls) be a rectangle.

If there are several possible answers, output any of them.

Sample test(s)

input

5 5
.*.*.
*****
.*.*.
*****
.*.*.

output

.*.*.
*****
.*.*.
*****
.*.*.

input

6 7
***.*.*
..*.*.*
*.*.*.*
*.*.*.*
..*...*
*******

output

***...*
..*...*
..*...*
..*...*
..*...*
*******

input

4 5
.....
.....
..***
..*..

output

.....
.....
.....
.....

题目链接:点击打开链接

给出n * m的地图, '*'代表墙, '.'代表房间, 墙能够变为房间, 现要求房间为长方形, 问最少须要变化后的房间.

dfs的条件是四个点组成的形状仅仅有一个'*', 于是将这个墙变为房间, 继续dfs, 能够使得变化最少.

AC代码:

#include "iostream"
#include "cstdio"
#include "cstring"
#include "algorithm"
#include "queue"
#include "stack"
#include "cmath"
#include "utility"
#include "map"
#include "set"
#include "vector"
#include "list"
#include "string"
#include "cstdlib"
using namespace std;
typedef long long ll;
const int MOD = 1e9 + 7;
const int INF = 0x3f3f3f3f;
const int MAXN = 2005;
int n, m;
char maze[MAXN][MAXN];
void Dfs(int x, int y)
{
	if(x >= n - 1 || y >= m - 1 || x < 0 || y < 0) return;
	int xx, yy, s = 0;
	for(int i = 0; i < 2; ++i)
		for(int j = 0; j < 2; ++j)
			if(maze[x + i][y + j] == '*') {
				s++;
				xx = x + i;
				yy = y + j;
			}
	if(s == 1) {
		maze[xx][yy] = '.';
		for(int i = -1; i < 1; ++i)
			for(int j = -1; j < 1; ++j)
				Dfs(xx + i, yy + j);
	}

}
int main(int argc, char const *argv[])
{
	scanf("%d %d", &n, &m);
	for(int i = 0; i < n; ++i)
		scanf("%s", maze[i]);
	for(int i = 0; i < n - 1; ++i)
		for(int j = 0; j < m - 1; ++j)
			Dfs(i, j);
	for(int i = 0; i < n; ++i)
		printf("%s\n", maze[i]);
	return 0;
}