题目链接：http://acm.hdu.edu.cn/showproblem.php?
Finding crosses
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 1282 Accepted Submission(s): 696
Problem Description
The Nazca Lines are a series of ancient geoglyphs located in the Nazca Desert in southern Peru. They were designated as a UNESCO World Heritage Site in 1994. The high, arid plateau stretches more than 80 kilometres (50 mi) between
the towns of Nazca and Palpa on the Pampas de Jumana about 400 km south of Lima. Although some local geoglyphs resemble Paracas motifs, scholars believe the Nazca Lines were created by the Nazca culture between 400 and 650 AD.[1] The hundreds of individual
figures range in complexity from simple lines to stylized hummingbirds, spiders, monkeys, fish, sharks, orcas, llamas, and lizards.
Above is the description of Nazca Lines from Wikipedia. Recently scientists found out that those lines form many crosses. Do those crosses have something to do with the Christian religion? Scientists are curious about this. But at first, they want to figure out how many crosses are there. So they took a huge picture of Nazca area from the satellite, and they need you to write a program to count the crosses in the picture.
To simplify the problem, we assume that the picture is an N*N matrix made up of 'o' and '#', and some '#' can form a cross. Here we call three or more consecutive '#' (horizontal or vertical) as a "segment".
The definition of a cross of width M is like this:
1) It's made up of a horizontal segment of length M and a vertical segment of length M.
2) The horizontal segment and the vertical segment overlap at their centers.
3) A cross must not have any adjacent '#'.
4) A cross's width is definitely odd and at least 3, so the above mentioned "centers" can't be ambiguous.
For example, there is a cross of width 3 in figure 1 and there are no cross in figure 2 ,3 and 4.
You may think you find a cross in the top 3 lines in figure 2.But it's not true because the cross you find has a adjacent '#' in the 4th line, so it can't be called a "cross". There is no cross in figure 3 and figure 4 because of the same reason.
Above is the description of Nazca Lines from Wikipedia. Recently scientists found out that those lines form many crosses. Do those crosses have something to do with the Christian religion? Scientists are curious about this. But at first, they want to figure out how many crosses are there. So they took a huge picture of Nazca area from the satellite, and they need you to write a program to count the crosses in the picture.
To simplify the problem, we assume that the picture is an N*N matrix made up of 'o' and '#', and some '#' can form a cross. Here we call three or more consecutive '#' (horizontal or vertical) as a "segment".
The definition of a cross of width M is like this:
1) It's made up of a horizontal segment of length M and a vertical segment of length M.
2) The horizontal segment and the vertical segment overlap at their centers.
3) A cross must not have any adjacent '#'.
4) A cross's width is definitely odd and at least 3, so the above mentioned "centers" can't be ambiguous.
For example, there is a cross of width 3 in figure 1 and there are no cross in figure 2 ,3 and 4.
You may think you find a cross in the top 3 lines in figure 2.But it's not true because the cross you find has a adjacent '#' in the 4th line, so it can't be called a "cross". There is no cross in figure 3 and figure 4 because of the same reason.
Input
There are several test cases.
In each test case:
The First line is a integer N, meaning that the picture is a N * N matrix ( 3<=N<=50) .
Next N line is the matrix.
The input end with N = 0
In each test case:
The First line is a integer N, meaning that the picture is a N * N matrix ( 3<=N<=50) .
Next N line is the matrix.
The input end with N = 0
Output
For each test case, output the number of crosses you find in a line.
Sample Input
4 oo#o o### oo#o ooo# 4 oo#o o### oo#o oo#o 5 oo#oo oo#oo ##### oo#oo oo##o 6 ooo#oo ooo##o o##### ooo#oo ooo#oo oooooo 0
Sample Output
1 0 0 0
Source
比較恶心的模拟题。
代码例如以下：（模拟）
#include <cstdio>
#include <cstring>
const int MAXN = 57;
int main()
{
char map[MAXN][MAXN];
int n;
int i, j, k;
int sum;
while(scanf("%d",&n) && n)
{
sum = 0;//总个数
memset(map,0,sizeof(map));
for(i = 1; i <= n; i++)
{
scanf("%s",map[i]);
}
int cont = 0;
int t;//每个段落的数量
int tt = 0;//记录连续的#的中间位置
int up = 0, down = 0;//记录上下段是否符合
int pos = 0;//记录连续的#開始的地方
for(i = 2; i <= n; i++)//直接从第二行開始找
{
cont = up = down = 0;
for(j = 0; j < n; j++)
{
up = down = 0;
if(map[i][j]=='#')//寻找连续#的个数
cont++;
if(cont == 1)
pos = j;
if(j == n-1 || map[i][j] != '#')
{
if(cont % 2 == 0)
{
cont= 0;
continue;//连续的为偶数个。不符合
}
else
{
if(cont == 1)//仅仅有一个不能组成十字架
{
cont = 0;
continue;
}
tt = pos + cont/2;//中间位置
t = cont/2;//每个段落的数量
int c1 = 0, c2 = 0;
for(k = i-1; ; k--)//从中间向上寻找连续的#
{
if(map[k][tt]=='#' && map[k][tt-1]!='#' && map[k][tt+1]!='#')
{
c1++;
if(c1 == t && map[k-1][tt]!='#')
{
up = 1;
break;
}
}
else
break;
}
for(k = i+1; ; k++)//从中间向下寻找连续的#
{
if(map[k][tt]=='#' && map[k][tt-1]!='#' && map[k][tt+1]!='#')
{
c2++;
if(c2 == t && map[k+1][tt]!='#')
{
down = 1;
break;
}
}
else
break;
}
int flag = 0;
for(k = pos; k < tt; k++)//寻找左段是否符合
{
if(map[i-1][k]=='#' || map[i+1][k]=='#')
flag = 1;
}
for(k = tt+1; k <= tt+t; k++)//寻找右段是否符合
{
if(map[i-1][k]=='#' || map[i+1][k]=='#')
flag = 1;
}
if(up == 1 && down == 1 && flag == 0)
sum+=1;
}
cont = 0;
}
}
}
printf("%d
",sum);
}
return 0;
}
/*
7
0#000#0
###0###
0#000#0
0000000
00#0000
0###000
00#0000
7
o#ooo#o
###o###
o#o#o#o
ooo#ooo
o#####o
ooo#o#o
ooo#ooo
11
ooooo#ooooo
oo#oo#oo#oo
o###o#o###o
oo#oo#oo#oo
ooooo#ooooo
###########
ooooo#ooooo
oo#oo#oo#oo
o###o#o###o
oo#oo#oo#oo
ooooo#ooooo
*/
再贴一段别人的DFS代码：
#include<iostream>
#include<stdio.h>
using namespace std;
char matrix[55][55];
int n;
bool dfs(int x,int y)
{
if(matrix[x][y]=='o')
return false;
int len1=0,len2=0,len3=0,len4=0;
bool flag=false;
for(int i=x-1; i>=0; i--)
{
if(matrix[i][y]=='#')
{
len1++;
if(matrix[i][y-1]=='#'||matrix[i][y+1]=='#')
{
flag=true;
}
}
else
break;
}
if(len1<1||flag)
return false;
flag=false;
for(int i=x+1; i<n; i++)
{
if(matrix[i][y]=='#')
{
len2++;
if(matrix[i][y-1]=='#'||matrix[i][y+1]=='#')
flag=true;
}
else
break;
}
if(len2!=len1||flag)
return false;
flag=false;
for(int j=y-1; j>=0; j--)
{
if(matrix[x][j]=='#')
{
len3++;
if(matrix[x-1][j]=='#'||matrix[x+1][j]=='#')
flag=true;
}
else
break;
}
if(len3!=len1||flag)
return false;
flag=false;
for(int j=y+1; j<n; j++)
{
if(matrix[x][j]=='#')
{
len4++;
if(matrix[x-1][j]=='#'||matrix[x+1][j]=='#')
flag=true;
}
else break;
}
if(len4!=len1||flag)
return false;
return true;
}
int main()
{
while(scanf("%d",&n),n)
{
for(int i=0; i<n; i++)
{
for(int j=0; j<n; j++)
cin>>matrix[i][j];
}
int ans=0;
for(int i=0;i<n;i++)
{
for(int j=0;j<n;j++)
{
if(dfs(i,j))
ans++;
}
}
printf("%d
",ans);
}
return 0;
}