标题:字母阵列
仔细寻找,会发现:在下面的8x8的方阵中,隐藏着字母序列:"LANQIAO"。
SLANQIAO
ZOEXCCGB
MOAYWKHI
BCCIPLJQ
SLANQIAO
RSFWFNYA
XIFZVWAL
COAIQNAL
我们约定: 序列可以水平,垂直,或者是斜向;
并且走向不限(实际上就是有一共8种方向)。
上图中一共有4个满足要求的串
下面有一个更大的(100x100)的字母方阵。
你能算出其中隐藏了多少个“LANQIAO”吗?
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请提交一个整数,不要填写任何多余的内容。
解析一:
String lq = "LANQIAO"; //定义需要搜索匹配的字符串
char[][] arrChar = new char[100][100]; //定义100*100数组存放字符串
Scanner input = new Scanner(System.in);
//利用循环将字符串填充至数组,原始字符串正好以回车进行的每行分隔,
//所以只需要将原始字符串一次输入就等于100次输入
System.out.println("请将原始字符串复制粘贴到下方:");
for (int i = 0; i < 100; i++) {
arrChar[i] = input.nextLine().toCharArray();
}
//定义二维数组保存8个移动方向的下标移动变化规律,从上开始,顺时针定义
int[][] arrMove = new int[][]{{0,-1},{1,-1},{1,0},{1,1},{0,1},{-1,1},{-1,0},{-1,-1}};
int result = 0; //记录符合条件的次数
//循环所有字符
for (int i = 0; i < arrChar.length; i++)
{
for (int j = 0; j < arrChar[i].length; j++)
{
if(arrChar[i][j] == lq.charAt(0)) //循环过程中发现字符为"L",则进行细节判断
{
//以此字符为中心,向8个方向去找复合条件的情况,循环arrMove的一维
for (int k = 0;k < arrMove.length; k++)
{
int rowIndex = i; //记录当前行号
int colIndex = j; //记录当前列号
boolean flag = true; //假设可以找到"LANQIAO"
//向每个方向需要找6次,第一个L不需要查找
for (int m = 1; m < lq.length(); m++)
{
rowIndex = rowIndex + arrMove[k][0];
colIndex = colIndex + arrMove[k][1];
//在移动过程中下标超出界限,一定找不到符合条件的
if(rowIndex < 0 || rowIndex >= 100 || colIndex < 0 || colIndex >= 100)
{
flag = false; break;
}
//移动过程中将移动的出来的字符和"LANQIAO"中字符一个一个比较,不相等则退出
if(arrChar[rowIndex][colIndex] != lq.charAt(m))
{
flag = false; break;
}
}
//6次比对循环完成后flag值如果仍然为true,则证明符合条件
if(flag == true)
result++;
}
}
}
}
System.out.println(result); //打印最后结果
答案:41
备注:上述方案使用二维数组存储8个方向,除此之外,也可以定义一个类来存储方向,如下解析:
解析二:
class MyDirection
{
int x;
int y;
public MyDirection(int x,int y)
{
this.x = x;
this.y = y;
}
}
public class Demo03
{
public static void main(String[] args)
{
String lq = "LANQIAO"; //定义需要搜索匹配的字符串
char[][] arrChar = new char[100][100]; //定义100*100数组存放字符串
Scanner input = new Scanner(System.in);
//利用循环将字符串填充至数组,原始字符串正好以回车进行的每行分隔,
//所以只需要将原始字符串一次输入就等于100次输入
System.out.println("请将原始字符串复制粘贴到下方:");
for (int i = 0; i < 100; i++) {
arrChar[i] = input.nextLine().toCharArray();
}
//定义对象数组保存8个移动方向的下标移动变化规律,从上开始,顺时针定义
MyDirection[] arrMove = new MyDirection[8];
arrMove[0] = new MyDirection(0,-1);
arrMove[1] = new MyDirection(1,-1);
arrMove[2] = new MyDirection(1,0);
arrMove[3] = new MyDirection(1,1);
arrMove[4] = new MyDirection(0,1);
arrMove[5] = new MyDirection(-1,1);
arrMove[6] = new MyDirection(-1,0);
arrMove[7] = new MyDirection(-1,-1);
int result = 0; //记录符合条件的次数
//循环所有字符
for (int i = 0; i < arrChar.length; i++)
{
for (int j = 0; j < arrChar[i].length; j++)
{
if(arrChar[i][j] == lq.charAt(0)) //循环过程中发现字符为"L",则进行细节判断
{
//以此字符为中心,向8个方向去找复合条件的情况,循环arrMove的一维
for (int k = 0;k < arrMove.length; k++)
{
int rowIndex = i; //记录当前行号
int colIndex = j; //记录当前列号
boolean flag = true; //假设可以找到"LANQIAO"
//向每个方向需要找6次,第一个L不需要查找
for (int m = 1; m < lq.length(); m++)
{
rowIndex = rowIndex + arrMove[k].x;
colIndex = colIndex + arrMove[k].y;
//在移动过程中下标超出界限,一定找不到符合条件的
if(rowIndex < 0 || rowIndex >= 100 || colIndex < 0 || colIndex >= 100)
{
flag = false; break;
}
//移动过程中将移动的出来的字符和"LANQIAO"中字符一个一个比较,不相等则退出
if(arrChar[rowIndex][colIndex] != lq.charAt(m))
{
flag = false; break;
}
}
//6次比对循环完成后flag值如果仍然为true,则证明符合条件
if(flag == true)
result++;
}
}
}
}
System.out.println(result); //打印最后结果
}
}