题目:
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?
FOAIQNALWIKEGNICJWAOSXDHTHZPOLGYELORAUHOHCZIERPTOOJUITQJCFNIYYQHSBEABBQZPNGYQTCLSKZFCYWDGOAIADKLSNGJ
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TSDFYTLVIBHKLJVVJUDMKGJZGNNSTPVLCKTOFMUEUFSVQIAUVHNVFTGBDDARPKYNNCUOYUAZXQJNOEEYKLFRMOEMHUKJTPETHLES
FKVINSLWEVGAGMKVFVIUBMYOIAFHLVNKNTYKTZWVXQWRWIGPENFXYDTKRVPKRTHMGHVYOCLDCKMEKRLGEKBYUCLOLYPAKPFSOREH
KWPUOLOVMOFBIXYACWRDYBINTMPASPCEOKHXQIGBQQMCEOIVULIEOPFSCSIHENAJCVDPJDOIWIIULFDNOZOFVAMCABVGKAKCOZMG
XWMYRTAFGFOCNHLBGNGOXPJSTWLZUNNAGIRETGXFWAQSSJPFTQAXMTQWMZWYVEPQERKSWTSCHSQOOBGXAQTBCHOEGBDVKGWJIFTG
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NMBKMUENVGXXVMQCLXPJDQIQCFWYADIFDSGINGZDJYHPUPXVRMWDIPJRWPNRYOFGYYPEAVKDEMLYRRRMNCRQXPTDS QIVKKGJWDEF
SBAEKIFZCKDOMIQKBDWVQGBYWPDIBOLQUGAQRXLJDAZMXVZXYSNWEWTNZKYREMBEUHOTFOCKEJSXCMUBCKXNGQXTQJRCRCLWJTOI
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HOWRIUGMOQTUYIHDWJRFBWWKWYKCICSVBVKTBIIWGFSVIFCTUKIHHUUISCOTEOYRWQXTAEBXQQOLLMOALNIYVCCHNSWIKHMYYNZO
OFRIYYXPPSRTPAYMUJSSDILKIZAYSEIOLANQIAOVKARDPGVFCSYBSNHAPGTIKLAWTTKOEADWRLAACAAFYTBTNSGFTYLYUHJXBMMA
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QCXPLOTPPGXCUZOUSSTXHVMLHVMJTUSSOPLRKEBQSGWNGVHKANVZWYQHSHLIPWSYCPKTUKPMWPLVFLLAHXZQANFXHFNYHIQVIOYN
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YNSDSWDRLBBFUFVVICMGUCGBSVDLJNXGKXNFGVLKAVBJRRRUHKRXTPBJAKIEBAVMDIOJLIUDABCGNPNJIYBCXMOOWKRPHPYSWRDC
BORWTNBISSLTVKBRTLWKRNCEDCNEGCIYJIPDICFAVNOISYAHWBLGMNFKXZYTTWJOBEPNMSJEJMHXVPGOJOLQQQVXFGEULANQIAOD
OQETOJHCZXGTUKIWGMEVVMXCURISUOFQSAWZWDMZWVYHZMPEIMWKJDGERODVVUXYRTYLCRGYQQOIOFZSSZRAIESWBQOAIQNALJNR
HEYWHPLLPCUEOCBAOWGAYEJZQJHLVNMVQNSQQGGUBOIMDPFLOVSQGBLYAMBRYJDVOXOQINLJAVYALAKHPKOYNKGXIISSJNGKHYMS
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分析:
要我们求八个方位连着的字符串,我们需要把八个方位的相对增喊值数组写出来,然后二维数组里面只要有等于L的,那么直接进行八个方位判断,每次x,y的坐标根据dx和dy发生变化,只要有一个相等那么num加一直到num等于6时,count加一。八个方位判断完毕,再进行下一个zu[i][j]==ch[0]的文章来源:https://www.toymoban.com/news/detail-608735.html
check里num从1开始的原因是因为进入函数之前就进行一次if判断了,所以直接从第二个值开始文章来源地址https://www.toymoban.com/news/detail-608735.html
步骤:
package 第九届省赛;
import java.util.Scanner;
public class 字母阵列 {
static int n = 100;
static int[] dx = { 0, 1, 1, 1, 0, -1, -1, -1 };
static int[] dy = { 1, 1, 0, -1, -1, -1, 0, 1 };
static char zu[][] = new char[n][n];//用于储存扫描器给的字母阵列
static char ch[] = { 'L', 'A', 'N', 'Q', 'I', 'A', 'O' };//需要找的字符串
static int count = 0;//计数
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
for (int i = 0; i < zu.length; i++) {//通过扫描器给二维数组赋值
zu[i] = sc.nextLine().toCharArray();
}
for (int i = 0; i < zu.length; i++) {
for (int j = 0; j < zu[i].length; j++) {//遍历所有二维数组的值,只要等于ch的第一个那么进行八个方位的判断
if (zu[i][j] == ch[0]) {
check(i, j);
}
}
}
System.out.println(count);
sc.close();
}
private static void check(int i, int j) {
for (int j2 = 0; j2 < 8; j2++) {
int x=i+dx[j2];
int y=j+dy[j2];
int num = 1;
while (x >= 0 && y >= 0 && x < n && y < n && zu[x][y] == ch[num]) {
if (num == 6) {
count++;
break;
}
num++;
x += dx[j2];
y += dy[j2];
}
}
}
}
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