USACO section 2.1 The Castle(dfs)

Posted on by hackdl

The Castle
IOI’94 – Day 1

In a stroke of luck almost beyond imagination, Farmer John was sent a ticket to the Irish Sweepstakes (really a lottery) for his birthday. This ticket turned out to have only the winning number for the lottery! Farmer John won a fabulous castle in the Irish countryside.

Bragging rights being what they are in Wisconsin, Farmer John wished to tell his cows all about the castle. He wanted to know how many rooms it has and how big the largest room was. In fact, he wants to take out a single wall to make an even bigger room.

Your task is to help Farmer John know the exact room count and sizes.

The castle floorplan is divided into M (wide) by N (1

Consider this annotated floorplan of a castle: 

1   2   3   4   5   6   7
   #############################
 1 #   |   #   |   #   |   |   #
   #####---#####---#---#####---#   
 2 #   #   |   #   #   #   #   #
   #---#####---#####---#####---#
 3 #   |   |   #   #   #   #   #   
   #---#########---#####---#---#
 4 # ->#   |   |   |   |   #   #   
   ############################# 

#  = Wall     -,|  = No wall
-> = Points to the wall to remove to
     make the largest possible new room

By way of example, this castle sits on a 7 x 4 base. A “room” includes any set of connected “squares” in the floor plan. This floorplan contains five rooms (whose sizes are 9, 7, 3, 1, and 8 in no particular order).

Removing the wall marked by the arrow merges a pair of rooms to make the largest possible room that can be made by removing a single wall.

The castle always has at least two rooms and always has a wall that can be removed.

PROGRAM NAME: castle

INPUT FORMAT

The map is stored in the form of numbers, one number for each module, M numbers on each of N lines to describe the floorplan. The input order corresponds to the numbering in the example diagram above.

Each module number tells how many of the four walls exist and is the sum of up to four integers:

  • 1: wall to the west
  • 2: wall to the north
  • 4: wall to the east
  • 8: wall to the south

Inner walls are defined twice; a wall to the south in module 1,1 is also indicated as a wall to the north in module 2,1.

 

Line 1:

Two space-separated integers: M and N

Line 2..:

M x N integers, several per line.

SAMPLE INPUT (file castle.in)

7 4
11 6 11 6 3 10 6
7 9 6 13 5 15 5
1 10 12 7 13 7 5
13 11 10 8 10 12 13

OUTPUT FORMAT

The output contains several lines:

 

Line 1:

The number of rooms the castle has.

Line 2:

The size of the largest room

Line 3:

The size of the largest room creatable by removing one wall

Line 4:

The single wall to remove to make the largest room possible

Choose the optimal wall to remove from the set of optimal walls by choosing the module farthest to the west (and then, if still tied, farthest to the south). If still tied, choose ‘N’ before ‘E’. Name that wall by naming the module that borders it on either the west or south, along with a direction of N or E giving the location of the wall with respect to the module.

SAMPLE OUTPUT (file castle.out)

5
9
16
4 1 E

思路：判断图1，2,4,8表示是用二进制前四位来表示图的，因此可以用取反&判断是否是通路，深搜通路用vis数组的数字记录编号，num数组记录该编号的房间大小

关键难点在于破墙找最大房间，这在深搜完后，从最左下角（西南）开始先右（东）后上（北）搜一遍最大房间，记录节点，和破墙方位，当最西不确定时（也就和最大相等），那就判断当前的南点看是否存在和最大相等，也就是y相等，x坐标要比原来的小。若存在则更新。

 

 

/*
ID:nealgav1
PROG:castle
LANG:C++
*/
#include
#include
using namespace std;
const int mm=60;
const int dx[]={0,-1,0,1};
const int dy[]={-1,0,1,0};
int map[mm][mm];
int vis[mm][mm];
int num[mm*mm],m,n;
void prepare()
{
  memset(vis,0,sizeof(vis));
  memset(num,0,sizeof(num));
}
int dfs(int x,int y,int pos)
{
  int nx,ny;
  if(vis[x][y])return 0;
  vis[x][y]=pos;++num[pos];
  for(int i=0;i=1&&nx=1&&ny=1;i--)
  for(int j=1;jmax_room){max_room=sum;x=i;y=j;p=1;}
      else if(sum==max_room)
      {if(y>j)x=i,y=j,p=1;//使其是最西
       else if(y==j&&xmax_room){max_room=sum;x=i;y=j;p=2;}
      else if(sum==max_room)
      {if(y>j)x=i,y=j,p=2;
      }
    }
  }
  printf("%dn",max_room);
  if(p==1)
  printf("%d %d En",x,y);
  else printf("%d %d Nn",x,y);
}
int main()
{
  freopen("castle.in","r",stdin);
  freopen("castle.out","w",stdout);
  int ans=0,nk=0,max=0;
  scanf("%d%d",&m,&n);
  prepare();
  for(int i=1;imax)max=num[i];
  printf("%dn%dn",ans,max);
  max_break();
}

 

 

 

USER: Neal Gavin Gavin [nealgav1]
TASK: castle
LANG: C++

Compiling...
Compile: OK

Executing...
   Test 1: TEST OK [0.000 secs, 3388 KB]
   Test 2: TEST OK [0.000 secs, 3388 KB]
   Test 3: TEST OK [0.000 secs, 3388 KB]
   Test 4: TEST OK [0.000 secs, 3388 KB]
   Test 5: TEST OK [0.000 secs, 3388 KB]
   Test 6: TEST OK [0.011 secs, 3388 KB]
   Test 7: TEST OK [0.011 secs, 3388 KB]
   Test 8: TEST OK [0.011 secs, 3388 KB]

All tests OK.

Your program ('castle') produced all correct answers!  This is your
submission #5 for this problem.  Congratulations!

Here are the test data inputs:

------- test 1 ----
7 4
11 6 11 6 3 10 6
7 9 6 13 5 15 5
1 10 12 7 13 7 5
13 11 10 8 10 12 13
------- test 2 ----
2 1
15 15
------- test 3 ----
5 5
3 2 6 3 6
1 8 4 1 4
13 7 13 9 4
3 0 2 6 5
9 8 8 12 13
------- test 4 ----
15 14
11 14 3 6 3 6 3 6 3 6 3 6 11 2 6
3 10 12 9 12 9 12 9 12 9 12 9 6 1 4
13 7 11 10 10 10 10 10 10 14 11 6 5 1 4
11 4 3 10 10 10 10 10 10 10 6 5 13 1 4
7 13 5 7 11 10 2 10 14 7 5 13 7 9 12
1 14 5 1 10 14 5 11 10 4 9 6 1 10 6
13 7 5 5 3 10 8 10 6 5 3 12 9 10 12
11 4 5 13 5 3 10 6 5 13 5 3 10 10 6
7 13 1 10 4 1 10 4 1 10 4 5 3 10 12
1 14 5 7 5 9 10 12 5 7 5 5 9 10 6
13 7 13 5 9 10 2 10 12 13 13 5 3 10 12
7 5 15 9 10 14 5 11 14 11 14 5 9 10 6
5 13 7 7 11 10 8 10 14 7 3 12 3 10 12
13 15 13 13 11 10 14 11 10 12 9 10 8 10 14
------- test 5 ----
10 10
11 10 10 14 7 3 10 2 2 6
3 2 2 6 5 1 2 0 0 4
1 0 0 4 5 1 0 0 0 4
1 0 0 4 13 9 8 8 8 4
1 0 0 4 7 11 10 10 14 13
1 0 0 4 5 7 3 2 2 6
1 0 0 4 5 5 1 0 0 4
1 0 0 4 13 5 1 0 0 4
1 0 0 4 7 5 1 0 0 4
9 8 8 12 13 13 9 8 8 12
------- test 6 ----
32 32
3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4
9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 12 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 12
------- test 7 ----
50 50
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
------- test 8 ----
50 50
7 15 7 3 14 11 10 10 14 3 2 2 6 15 7 7 7 7 11 2 6 3 10 2 6 15 3 14 3 10 10 10 6 11 10 2 14 7 7 11 14 3 14 7 7 15 11 14 15 7
1 14 9 0 10 14 15 7 7 13 9 8 8 2 0 12 9 0 2 4 13 1 14 5 9 6 9 14 13 7 15 7 13 3 10 0 2 4 13 15 11 4 15 13 13 11 10 10 6 5
13 15 11 8 14 11 6 5 13 3 6 15 11 12 1 14 15 1 12 9 6 1 6 1 10 4 11 6 3 8 2 4 7 13 3 12 13 13 3 6 15 9 2 6 3 14 7 7 1 12
7 3 14 7 3 14 5 1 2 0 4 15 11 14 13 11 2 0 14 11 12 1 0 8 6 1 2 12 5 15 5 1 8 14 13 11 2 2 4 1 6 11 12 13 1 14 9 12 5 7
9 0 14 1 8 2 8 0 4 1 4 3 2 14 7 7 5 13 11 14 3 12 9 10 4 9 0 14 1 2 0 0 10 6 11 10 4 1 4 9 0 14 15 15 9 10 10 10 0 12
7 9 6 13 3 12 15 9 4 5 13 1 4 15 1 8 4 3 2 2 0 6 7 15 5 15 9 2 12 1 12 5 11 4 7 7 1 8 8 6 5 11 10 6 15 15 11 14 5 7
13 7 5 15 13 7 11 6 5 13 15 13 1 2 12 15 5 9 8 12 5 1 0 2 8 10 10 4 15 5 15 13 11 4 5 1 12 15 3 12 9 2 6 9 14 7 3 6 5 13
11 8 0 6 15 9 2 8 12 11 6 3 12 9 2 2 4 11 6 15 9 8 4 1 14 7 15 5 15 1 6 11 2 0 8 0 14 15 5 15 7 13 5 15 15 9 8 0 12 7
7 7 13 13 3 6 13 11 2 2 12 9 14 11 8 0 4 11 8 14 3 14 1 4 3 12 3 4 3 4 9 10 0 12 7 5 7 11 12 15 1 10 8 10 14 7 11 8 2 4
9 8 2 2 8 8 2 14 9 4 15 7 3 6 11 8 8 6 15 15 5 7 9 4 13 7 5 5 9 0 10 10 8 10 0 8 12 7 11 10 12 15 3 10 2 0 10 6 5 13
15 7 5 13 15 11 12 7 15 9 6 5 9 12 7 7 11 8 6 11 0 0 6 13 11 12 9 12 11 8 10 14 11 10 8 6 3 12 7 11 2 14 5 11 4 13 3 8 12 15
15 5 1 6 3 6 15 5 3 2 0 4 11 14 9 0 14 11 0 6 5 13 5 11 6 11 10 14 11 10 14 15 15 3 6 13 13 11 4 7 1 6 1 2 0 2 12 15 11 14
15 1 12 5 5 13 7 1 0 4 5 5 7 11 6 5 11 10 8 12 5 3 12 7 5 15 15 15 15 11 14 15 15 13 5 7 11 6 5 13 13 1 0 0 8 8 2 2 14 7
11 12 7 1 8 6 1 12 9 4 1 12 5 11 8 4 3 2 10 14 9 0 6 13 5 15 15 15 3 2 6 3 2 2 8 4 7 9 0 6 15 5 1 4 11 6 9 0 2 12
7 11 8 0 10 8 4 7 3 0 4 15 9 10 10 0 0 4 3 10 6 13 13 11 8 10 14 11 12 5 9 4 1 8 6 13 9 6 13 1 2 12 9 12 3 4 3 0 0 6
1 10 14 9 10 6 1 12 9 12 5 15 7 3 10 12 5 13 5 15 5 11 2 14 7 3 10 14 7 5 7 1 12 15 13 3 14 9 10 4 1 14 7 3 12 9 12 1 12 5
5 11 6 11 14 1 4 7 7 15 1 6 5 9 2 14 9 14 9 10 0 2 8 14 9 8 2 14 13 9 4 5 11 2 10 8 6 3 14 9 4 3 12 9 6 3 6 13 15 13
13 15 5 11 2 12 1 12 5 15 9 8 8 10 8 14 11 14 7 11 0 12 11 10 6 11 12 7 7 7 13 9 10 4 15 7 5 13 3 14 13 1 14 11 8 0 8 6 15 7
3 2 8 14 5 3 0 6 13 15 11 2 2 6 7 3 14 7 13 3 4 11 14 11 0 10 6 13 1 4 7 15 11 4 11 8 8 6 1 6 15 9 10 6 3 12 15 1 6 5
1 8 10 14 9 4 1 4 3 2 6 1 8 8 4 5 15 5 15 9 0 2 6 11 12 3 4 7 1 4 9 10 2 0 6 11 14 1 12 9 6 3 2 8 8 2 2 0 4 5
9 6 7 3 6 1 8 8 12 9 8 4 3 10 8 0 14 13 3 2 12 5 9 6 15 5 9 0 0 0 10 2 12 5 9 6 3 0 6 3 8 8 0 6 15 5 13 1 4 13
7 9 8 4 13 9 2 2 14 3 6 1 8 2 14 13 15 15 1 8 10 0 10 12 3 12 3 0 0 12 15 9 6 1 10 0 12 13 1 4 3 2 8 0 10 0 10 0 8 14
13 11 10 4 11 6 13 1 6 5 5 1 6 1 6 7 11 14 5 15 7 5 7 11 0 14 9 4 13 11 2 14 9 12 3 0 14 3 4 9 4 1 2 4 11 8 14 5 15 15
11 2 6 1 2 12 3 8 4 5 1 0 8 4 13 1 2 2 0 6 1 8 12 3 4 11 6 9 6 3 8 10 2 14 1 4 15 9 4 3 4 5 5 1 10 6 7 13 15 15
3 12 9 4 9 2 4 7 5 5 13 5 3 4 11 8 8 8 12 1 4 11 10 0 4 3 8 2 8 12 7 11 0 10 8 4 11 10 8 12 13 13 1 12 15 1 4 11 2 14
5 3 2 4 15 5 13 13 1 8 6 13 1 0 2 14 3 2 14 5 9 6 7 5 5 5 11 0 6 7 13 3 12 11 10 4 7 11 6 11 10 10 4 15 11 0 4 15 1 14
1 4 9 12 3 4 7 3 0 10 8 10 12 1 0 6 13 5 15 9 6 13 9 12 1 0 10 4 9 0 14 13 7 15 11 12 1 14 1 6 3 6 9 14 11 4 13 7 13 7
13 5 15 11 0 8 12 1 0 2 2 6 11 4 9 0 6 9 10 14 13 3 6 7 5 1 6 5 11 4 11 2 8 14 3 6 13 15 1 12 1 4 11 14 7 13 7 9 10 4
11 12 7 11 12 15 3 12 5 13 1 12 7 9 14 1 0 10 10 2 2 0 8 8 12 5 5 13 7 5 15 9 6 11 4 1 14 3 4 3 8 8 6 7 1 14 13 11 2 12
3 10 12 3 2 2 0 10 0 2 12 3 0 10 6 9 8 10 10 0 8 12 7 11 14 1 12 3 12 5 3 2 8 14 1 8 2 8 12 1 14 11 8 12 9 6 15 11 8 6
9 14 15 13 5 13 13 15 5 13 3 4 5 15 5 11 10 14 7 1 6 15 9 2 2 8 6 13 11 4 13 9 10 14 9 6 9 10 10 4 3 10 10 10 10 8 2 14 3 12
15 3 14 11 0 6 15 15 13 15 9 8 0 10 4 7 11 2 8 4 13 3 10 0 12 11 0 10 2 0 2 6 3 14 11 4 3 2 14 13 13 11 14 3 6 3 8 10 4 7
7 9 6 11 12 13 3 2 10 6 15 7 13 11 8 4 7 13 3 4 15 5 15 5 7 3 8 6 1 4 5 9 0 10 10 4 9 8 10 14 3 6 7 13 1 8 10 6 1 4
9 14 13 3 6 7 1 4 11 8 14 1 6 11 6 9 4 3 4 5 15 9 14 1 8 4 15 9 0 0 12 7 13 7 3 12 7 15 3 6 5 13 9 14 13 11 14 9 4 5
15 15 15 13 13 9 4 13 15 11 14 9 0 14 9 6 5 5 9 12 11 2 6 9 6 5 15 11 0 8 2 4 11 12 1 10 12 15 13 1 8 6 3 2 2 2 10 10 12 5
3 6 15 3 10 10 12 7 3 10 2 6 1 14 15 13 5 13 15 11 2 8 8 6 13 5 15 3 8 6 13 13 11 14 9 14 7 15 11 4 7 9 4 13 9 12 3 14 15 5
5 9 6 9 14 3 14 1 0 6 9 4 9 6 15 15 13 7 15 11 12 11 14 5 3 12 3 8 2 8 10 10 10 10 14 3 8 6 15 9 0 10 12 11 6 7 9 2 10 4
9 2 12 15 11 8 14 1 0 4 7 13 3 0 6 11 6 9 2 10 14 15 11 4 9 2 8 14 9 6 11 6 11 2 2 0 6 13 15 15 1 2 6 3 4 9 14 13 11 4
3 4 11 14 3 10 2 4 9 4 5 15 9 12 1 6 13 7 9 2 14 7 15 9 10 12 11 14 15 9 14 9 14 9 12 1 4 15 3 10 4 5 5 1 4 3 2 10 14 5
9 4 11 10 4 11 12 13 15 5 1 2 10 2 12 1 10 4 11 4 15 13 11 2 10 10 2 6 7 3 14 11 2 2 6 13 5 11 12 7 9 12 9 12 13 13 9 10 10 12
15 9 14 15 9 2 6 7 15 13 5 9 14 13 3 12 7 13 3 4 15 7 3 12 11 6 9 4 13 1 10 14 5 1 12 3 0 14 15 9 10 6 11 2 6 15 15 7 11 6
7 7 7 15 3 0 8 4 3 14 9 2 10 14 1 14 9 2 8 0 6 5 1 2 6 9 10 4 3 8 2 2 4 13 11 0 4 11 6 15 3 0 2 4 9 6 11 8 2 4
13 1 0 6 5 13 11 8 4 3 10 4 7 15 1 14 3 8 6 9 0 8 8 12 1 6 15 9 0 10 0 0 0 14 11 12 5 15 9 2 12 9 8 4 11 12 15 7 5 13
7 1 4 1 12 11 10 14 9 12 3 8 12 11 4 15 1 14 5 7 9 6 15 15 9 8 14 3 0 10 4 5 1 6 15 15 13 11 2 4 7 7 15 13 15 15 3 0 4 15
1 4 1 4 15 7 3 14 7 7 9 6 15 11 8 2 8 2 4 9 2 8 6 15 15 7 15 13 5 3 12 13 1 4 3 6 7 11 12 5 13 5 11 2 6 15 1 0 8 14
13 9 8 12 7 1 0 14 13 9 14 1 10 2 6 1 14 13 1 6 1 2 8 10 6 1 10 10 0 12 11 14 1 0 12 1 12 11 2 12 15 1 10 4 1 10 12 5 15 15
3 2 6 7 13 5 13 11 6 11 14 9 6 1 8 0 6 11 12 1 4 5 11 14 9 8 10 14 13 3 14 7 13 5 3 4 7 3 12 15 7 9 2 0 12 7 7 13 11 6
5 9 12 1 6 1 6 3 12 15 11 10 0 12 7 13 13 3 2 8 12 5 3 14 15 7 3 14 7 13 11 4 7 5 5 13 9 4 11 6 5 3 12 1 2 0 12 7 15 13
1 14 15 13 5 13 1 12 3 10 14 11 8 2 8 2 6 1 12 11 6 5 9 2 10 4 5 7 9 14 3 0 0 8 12 7 7 13 15 13 5 9 10 4 9 0 10 8 6 15
13 11 14 15 9 10 8 14 13 15 11 10 14 9 14 9 8 12 15 11 8 8 10 12 15 13 13 13 15 11 12 9 12 11 14 13 9 14 11 10 8 14 15 9 10 12 15 15 9 14

Keep up the good work!

Thanks for your submission!

 

CastleRuss Cox

We use a simple recursive flood fill to number each room in the castle, and then look at all the pairs of rooms we can join by knocking out any wall. Since we’re going to use the westernmost and then southernmost square, we need only consider knocking out walls to the north and to the east. 

#include 
#include 
#include 
#include 

#define MAXDIM 50
#define MAXN 100
#define MAXCOLOR 100
#define MAXROOM (MAXDIM*MAXDIM)

enum {
    Wwest = 1,
    Wnorth = 2,
    Weast = 4,
    Wsouth = 8
};

typedef struct Square	Square;
struct Square {
    int wall;
    int numbered;
    int room;
};
 
int wid, ht;
Square castle[MAXDIM][MAXDIM];
int roomsize[MAXROOM];

void
number(int room, int x, int y)
{
    int w;

    if(castle[x][y].numbered) {
	assert(castle[x][y].room == room);
	return;
    }

    castle[x][y].numbered = 1;
    castle[x][y].room = room;
    roomsize[room]++;

    w = castle[x][y].wall;

    if(x > 0 && !(w & Wwest))
	number(room, x-1, y);

    if(x+1  0 && !(w & Wnorth))
	number(room, x, y-1);

    if(y+1 =0; y--) {
	if(y > 0 && castle[x][y].room != castle[x][y-1].room) {
	    n = roomsize[castle[x][y].room] + roomsize[castle[x][y-1].room];
	    if(n > m) {
		m = n;
		mx = x;
		my = y;
		mc = 'N';
	    }
	}
	if(x+1  m) {
		m = n;
		mx = x;
		my = y;
		mc = 'E';
	    }
	}
    }

    fprintf(fout, "%dn", nroom);
    fprintf(fout, "%dn", bigroom);
    fprintf(fout, "%dn", m);
    fprintf(fout, "%d %d %cn", my+1, mx+1, mc);
    exit(0);
}

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