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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GSOZTQKCCSDWGUWAUOZKNILGVNLMCLXQVBJENIHIVLRPVVXXFTHQUXUAVZZOFFJHYLMGTLANQIAOQQILCDCJERJASNCTLYGRMHGF
TSDFYTLVIBHKLJVVJUDMKGJZGNNSTPVLCKTOFMUEUFSVQIAUVHNVFTGBDDARPKYNNCUOYUAZXQJNOEEYKLFRMOEMHUKJTPETHLES
FKVINSLWEVGAGMKVFVIUBMYOIAFHLVNKNTYKTZWVXQWRWIGPENFXYDTKRVPKRTHMGHVYOCLDCKMEKRLGEKBYUCLOLYPAKPFSOREH
KWPUOLOVMOFBIXYACWRDYBINTMPASPCEOKHXQIGBQQMCEOIVULIEOPFSCSIHENAJCVDPJDOIWIIULFDNOZOFVAMCABVGKAKCOZMG
XWMYRTAFGFOCNHLBGNGOXPJSTWLZUNNAGIRETGXFWAQSSJPFTQAXMTQWMZWYVEPQERKSWTSCHSQOOBGXAQTBCHOEGBDVKGWJIFTG
ZWWJEIISPLMXIMGHOOGDRZFTGNDDWDWMNUFWJYJGULPHNUFSAQNNIUVAAFZIAZKFXXNWCEABGJAUMGYEIEFVQXVHHHEDYUITRCQB
XZHDPZQTOBECJVBZLACVXACZEDYOGVAVQRNWEOWGRAQYUEUESTEDQTYJUTEFOOITSHDDZHONJGBRCWNEQLZUTBNQIADKNFIOMWZR
EBFKCVNLURZSNPOLTISRPDTNUMCDGKTYRGIOVEPTUTSBAWQKWWEUWIWHAANUZUADGZEATZOQICWFUJTWNZDBKLQNELWVTBNDLNFH
PESISEATZNCDFRMXBQUKBFTIGYSFCWVHPMSUSDKPSCOMVLDOHYQVFHAJKRDTAVLIMNZBZSMLMRTLRPSLAHXDBASDMWAAYBPYVJZF
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SBAEKIFZCKDOMIQKBDWVQGBYWPDIBOLQUGAQRXLJDAZMXVZXYSNWEWTNZKYREMBEUHOTFOCKEJSXCMUBCKXNGQXTQJRCRCLWJTOI
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HOWRIUGMOQTUYIHDWJRFBWWKWYKCICSVBVKTBIIWGFSVIFCTUKIHHUUISCOTEOYRWQXTAEBXQQOLLMOALNIYVCCHNSWIKHMYYNZO
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BORWTNBISSLTVKBRTLWKRNCEDCNEGCIYJIPDICFAVNOISYAHWBLGMNFKXZYTTWJOBEPNMSJEJMHXVPGOJOLQQQVXFGEULANQIAOD
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HEYWHPLLPCUEOCBAOWGAYEJZQJHLVNMVQNSQQGGUBOIMDPFLOVSQGBLYAMBRYJDVOXOQINLJAVYALAKHPKOYNKGXIISSJNGKHYMS
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CURAGWXMLYBSIZLAXFONZZMQMRNNSRQKRHQGFGZUTLONAYRKSSOWAMKZBSGOOYQDPTBHGPBNQEDCZHRTOXREOFJEKJVIZXZBCJPN
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DDAOBVCPOVODVJFLSNPJXHWQBHILWZAHQQMTQASNADZLZNXJLJMFCOUWOZJCMVVTYCKTUBABWLCEBNYWAMOLNBQQYBRUJCQCZALE
TVVRPMYFIKINHIUEJBDLTCUMMUWICIUVCZNIQIUEWVAHLANQIAONMEYJWPDAFXVNOSOFDOCESSLGZPTJINBUAFWWWMPTYALZIGVD
DCZGKILMBFXIQQFEKJBIUDEMIFCANVGNYZAYSQFMNNQFEPZFUUVGTBKSMDXITBLANQIAOQUKTPNYPOWSQQYWWMJHSDYVFDJYXBAF
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请提交一个整数,不要填写任何多余的内容。
解题思路:依次每个点进行八个方向的枚举,看看是否匹配"LANQIAO",如果匹配,则用一个二维数组标记一下,顺便计数,也可以不用二维数组标记,我就是好奇,想看一下,把符合"LANQIAO"所有方向都打印出来。输入方面可以自己用Scanner扫进去。答案是:41.
import java.util.Scanner;
public class Main
{
static int n=100,count=0;//count计数
static char [][]map;//接收,搜索
static int [][]vis;//用于标记
static char []word = "LANQIAO".toCharArray();//用于匹配
static int []dx={0,1,0,-1,-1,-1,1,1};//用于存储八个方向
static int []dy={1,0,-1,0,-1,1,-1,1};
public static void main(String []args)
{
Scanner s = new Scanner(System.in);
n = s.nextInt();
map = new char[n][n];
vis = new int [n][n];
for(int x=0; x<n; x++)
{
map[x] = s.next().toCharArray();
}
for(int i=0; i<n; i++)//从0,0坐标开始对每个点进行搜索
{
for(int j=0; j<n; j++)
{
if(map[i][j] =='L')//从首字母开始
{
dp(i,j);
}
}
}
//result
for(int x=0; x<n; x++)
{
for(int y =0; y<n; y++)
{
if(vis[x][y]==1)
{
System.out.print(map[x][y]);
}
else
{
System.out.print("*");
}
}
System.out.println();
}
System.out.println(count);
}
public static void dp(int i,int j)
{
for(int x=0; x<8; x++)//从i,j该坐标开始,枚举它的八个方向
{
boolean flag = false;//标记
int xx =i;
int yy = j;
for(int a=1; a<=6; a++)//从word的第二个字母开始循环匹配
{
xx +=dx[x];
yy +=dy[x];
if(xx<0||xx>=n||yy<0||yy>=n||word[a]!=map[xx][yy])//如果角标越界or没匹配上,直接标记,以及break;
{
flag = true;
break;
}
}
if(!flag)//如果flag未被标记过,表示该方向符合"LANQIAO"
{
count++;//计数
xx=i;//回到原始坐标
yy=j;//回到原始坐标
for(int c = 0; c<=6; c++)//对符合"LANQIAO"的某个方向用vis进行标记
{
vis[xx][yy] =1;
xx+=dx[x];
yy+=dy[x];
}
}
}
}
}