蓝桥杯字母阵列
字母阵列(递归解法)
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。
FOAIQNALWIKEGNICJWAOSXDHTHZPOLGYELORAUHOHCZIERPTOOJUITQJCFNIYYQHSBEABBQZPNGYQTCLSKZFCYWDGOAIADKLSNGJ
GSOZTQKCCSDWGUWAUOZKNILGVNLMCLXQVBJENIHIVLRPVVXXFTHQUXUAVZZOFFJHYLMGTLANQIAOQQILCDCJERJASNCTLYGRMHGF
TSDFYTLVIBHKLJVVJUDMKGJZGNNSTPVLCKTOFMUEUFSVQIAUVHNVFTGBDDARPKYNNCUOYUAZXQJNOEEYKLFRMOEMHUKJTPETHLES
FKVINSLWEVGAGMKVFVIUBMYOIAFHLVNKNTYKTZWVXQWRWIGPENFXYDTKRVPKRTHMGHVYOCLDCKMEKRLGEKBYUCLOLYPAKPFSOREH
KWPUOLOVMOFBIXYACWRDYBINTMPASPCEOKHXQIGBQQMCEOIVULIEOPFSCSIHENAJCVDPJDOIWIIULFDNOZOFVAMCABVGKAKCOZMG
XWMYRTAFGFOCNHLBGNGOXPJSTWLZUNNAGIRETGXFWAQSSJPFTQAXMTQWMZWYVEPQERKSWTSCHSQOOBGXAQTBCHOEGBDVKGWJIFTG
ZWWJEIISPLMXIMGHOOGDRZFTGNDDWDWMNUFWJYJGULPHNUFSAQNNIUVAAFZIAZKFXXNWCEABGJAUMGYEIEFVQXVHHHEDYUITRCQB
XZHDPZQTOBECJVBZLACVXACZEDYOGVAVQRNWEOWGRAQYUEUESTEDQTYJUTEFOOITSHDDZHONJGBRCWNEQLZUTBNQIADKNFIOMWZR
EBFKCVNLURZSNPOLTISRPDTNUMCDGKTYRGIOVEPTUTSBAWQKWWEUWIWHAANUZUADGZEATZOQICWFUJTWNZDBKLQNELWVTBNDLNFH
PESISEATZNCDFRMXBQUKBFTIGYSFCWVHPMSUSDKPSCOMVLDOHYQVFHAJKRDTAVLIMNZBZSMLMRTLRPSLAHXDBASDMWAAYBPYVJZF
SCCWYHLQOUKBMCEYENQNJXFOMOOJMTKDSHJJOHDKEGATFZHGWJJAZJROWHAZUFGEQKPYXLCAAXHHQBDALPYUDWZQHBASBBCFGQCQ
ZKNXUBRYZVSPQHOVLAEUAUITMPWXNXJQVIBJVBCSVXKWFAFRPRWOLYVSDVTGGOFFMNQJZOBUDJLFHJTCYMPNOBHQJHGKLIKLZMLA
POCKVEQXUAVHERIAQLGJHYOOVOMTXQFRTBFSETOZICPCHZHFBWNESVJJLSVSVOOGYYABFESWNWDNYBGBNAKRCFQMTCUMIFTESVIN
JCAULIQRYUMAMAOVVWSEUTMECXSDTONRMMROQUISYEURSAYNZUVOPXLIFBDOHPXMABBLEQZGLJXQJOEYYRRRCFTEZQAOIWKRJQDL
ZNUUDWZXZZURPMHGXQGNQBIQWWNERZWULSAPIBODBFFQQIHEQKCKLJYQNXQUTAAYGRBXSLLQNOQPZJEWHETQHPXJANMJFOHINWOW
KJGAWWFSVIZHFNUWBLWYVPIWAEICCAHOEIWRADSLOZGPSVGPUBUUQAVYCHOIGINKYKJABWAQCZCXOBKTNJZQRHLUFKQLACAAOIWJ
SIKWLXQHKDFJVGBVXWDWJKUSFRQRTDJYQMNFOQQALHRLMHSDMCFLAOVKDMTKMTPVTLAZLYJNJXZCFRHHSDIXYUUSVIMIICLUJHFW
JHWUSMCFYHPIXHAPBBSHYDQCKVGQFTENLVERFVOVDCLSTQFUSEPUMTFODLZLYQXDOXAEPONIQWTDWSAWBNSZYACGSJQSHAUMIKXT
MVBNFXMFNPAYSODPXEAYNRKTEZJWMUACSIUYPIORUFPMXAOZZJPJXPFLNSKNIAMETMOVULZPQIJJIRCSYQXOEVRHCNACSBRHKYNW
KGKBTBHGWKVJYZCOVNSKUREKZEIWVLOHAMUAYKLUGHEUESICBZAHURNTJAECTHRNKSIJQFIPVZANSZYSPJWHPKHCAPEYWNXUYQSD
RRRFYQFIQSWYRQTSNGNUFOBMSLGAFWPJGYEHGASFKTJCCZPXFIQLSXNKNWCYVTETOAPCOZJNHEWOCCAWVDEZUQCLLAVUQJJTQCKJ
NMBKMUENVGXXVMQCLXPJDQIQCFWYADIFDSGINGZDJYHPUPXVRMWDIPJRWPNRYOFGYYPEAVKDEMLYRRRMNCRQXPTDSQIVKKGJWDEF
SBAEKIFZCKDOMIQKBDWVQGBYWPDIBOLQUGAQRXLJDAZMXVZXYSNWEWTNZKYREMBEUHOTFOCKEJSXCMUBCKXNGQXTQJRCRCLWJTOI
YXBFBIBRAAFNPKBLTSMCFERZURZNWHMOEHIHNQTBWXNPJGIDYDPRGEWACCBULJRACOFLANQIAOIHMYCNQHVKXSIGAMWAHUSNBBTD
QDGPTRONXHAZWOUPNBFJFEWAMFZUQZFDKAPNJUBQPWBPYGPZHKUDZZDLCCWHGAUKJCSLLFWGPYJKJQBNLCZESOGXXSQCVVKVRVAW
NXPGQOUEFLUZHHSAODIWEPZLXVQLYGVOOVCCREDJZJOMCSCFFKEIEAVCTPUZOWNOLJHGBJHJFBFFORGXOXXFOCAGBWEFCIDEKDLB
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JQNCLENGTROIKDWBMXRNJYPGZRQOREPJJPTXKVVKPYYZENEOIQKZOPXAYGFXORXRIDGATHMZFDJIOIOKVDJBHSXQMYCBYFGXWHLH
CITGTILGPGBHZMNWWHXEFPGDPJUVFBJKAQWACZHPRPJYCOLGZTBDCVHNRSUAJUQAWAPMQJDQIFPZQZEONWHIYKMXDZOMVETEFJRB
RDOTIDCFEESOKYPYCGQQKOGPMGJRITSVTKOKDSXLRLJRRHNFRFXCMDNQMCEGZFJWHZOAFBQXXPXNBSWTSUYPAWQRHAUGLNPBRSJT
HOWRIUGMOQTUYIHDWJRFBWWKWYKCICSVBVKTBIIWGFSVIFCTUKIHHUUISCOTEOYRWQXTAEBXQQOLLMOALNIYVCCHNSWIKHMYYNZO
OFRIYYXPPSRTPAYMUJSSDILKIZAYSEIOLANQIAOVKARDPGVFCSYBSNHAPGTIKLAWTTKOEADWRLAACAAFYTBTNSGFTYLYUHJXBMMA
NJFTMLUIBKDPWBXQOMBVQXCZOIREHRSZCSJOIVBXWQIBUTYBQNTZRVROHGOIZYAJWXLEATLOZJIKJMIHSLGSVTCXJWIOOGWSERRQ
DBQJNGBLRIYFIKHBEYOZQBOAGGNIZKFDHWXCFNJLBQXVLHIQNIBZSDLTTRERHNWCMLJCVBBGGAQTPUQHIRABXPQSYGSDVMBNNDFG
KPLFUYXHYGOCZPPXMWCZYNKCYBCRZVKFBHQXPGPBZFTTGEPQTJMOFHAYSQQZDMQECGXOXADYHNNXUKNBXZBYHBOULXNBJZKIZREF
LVHAMSNXJOCVRPVGJUWXFVOCUCLCZDXRPBBDRLRAVVNLOZWOHWMXYSNMXAKJYWYGILNGUJGIPKAUDVANZLFWKUWWUSQYBRCBVDIJ
QCXPLOTPPGXCUZOUSSTXHVMLHVMJTUSSOPLRKEBQSGWNGVHKANVZWYQHSHLIPWSYCPKTUKPMWPLVFLLAHXZQANFXHFNYHIQVIOYN
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DCGMEEWXWMNOSSJNIZCINRHENPPPCYVFWYCONOPKXMFZXXIHNXIGAHAMHSBRESOETGVXWDNQLGCEOUDDJXHQIVCHRNKBFFEWILGY
SOAIQNALXRBSGAQIDQVMVDKVZCPMJNXKXRXPFZAUVQPBHHQKTPDSQROLQTUGMFQRWGVEWCYPDYDZGNNNUFKJUEHJKPLIQNRQYXHU
GKGWUCJXUKAEHLRLNDFUQPSJAZTVJRXWXQVBMRJXULEMJJPDCVTOWVFDBVLSBHZRRQUVMUQYKTJCLSGGHGCPHPHMWYAECLJIZUWV
QQNKPQRJMSOCEAYDNKPHVEGKAGCKAPDXTGVXULHUXHJPDXCSKQTCJENVTZTMRUENCSWHBEORALSREBWAJEMQDXMRKGHJGICDHKHY
YNSDSWDRLBBFUFVVICMGUCGBSVDLJNXGKXNFGVLKAVBJRRRUHKRXTPBJAKIEBAVMDIOJLIUDABCGNPNJIYBCXMOOWKRPHPYSWRDC
BORWTNBISSLTVKBRTLWKRNCEDCNEGCIYJIPDICFAVNOISYAHWBLGMNFKXZYTTWJOBEPNMSJEJMHXVPGOJOLQQQVXFGEULANQIAOD
OQETOJHCZXGTUKIWGMEVVMXCURISUOFQSAWZWDMZWVYHZMPEIMWKJDGERODVVUXYRTYLCRGYQQOIOFZSSZRAIESWBQOAIQNALJNR
HEYWHPLLPCUEOCBAOWGAYEJZQJHLVNMVQNSQQGGUBOIMDPFLOVSQGBLYAMBRYJDVOXOQINLJAVYALAKHPKOYNKGXIISSJNGKHYMS
IQVRYKXCUFIRNENEXFJTMOTJWYXSMTDHHPRHWIXETWVVIXZELKLLWRWQYGBCGJNYSUQEFCOUDNIJMLJNLAWSYJGULKBCFPYVSSMW
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OPPJQKNGHWWPENVQIABJCQNKXNPWOWRFEOKQPQLANQIAORGGOLAYCEGZBHZVLPBERWYIJNJUNXKULUQOJLTNRDZDEYWEMYCHJLLB
LJISOAQLXJEFXVTOZSICOLQIJEXUANJWIFSIMGUQWHBXUDWOEILYFUZTGDZDSPLZPDPXBLFAXLEFQFEPDSJQWEQMXKKHCXHMSATM
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WHZJLKEWUPETVUREKVKCLBNYFLWCERVIPUDINNWGQTUHWXCTDVTMYATYUZLMVLOHKBOGIZCQDOWFBCWJAVUXYUEVRKPOXCKHAWZC
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CUSSTLCRYPDTFSFJFENKJWTEBOBEPLSNXLALQWCKSLVMZQDJITHZKVCCQXTEXOSVAUFYAZXJUOAPPVEEWOIIMOSZZMCOQBRUXWKG
PDOFSCKKJJTRYRWGLEZODQTJSIMXIAOLNMLPHBAYLPTTLPYWILSEIIQVSXNHIJEORVCNJHYXRBIZZJTADGMRTSXVRXYGVQQNUEIC
IHNJOQXUXTXFPALCHOELNVMWDWQTEARUKPIFWXJSMWZLMNLAODUTKNZDYRFRLGBLIBGIBXJBOYMLYLANQIAORORYKSJPOOOAMVRN
IWIUHLYJKTQGVJBDPROSRGZUFITDIBCDPICNEFIGHWGSROWBYKUCLCQYLJXLHLXSCTJWKDLHHMLDBZCVDKPXYYASHUUMUJMVSXAD
GXOYXQFEBFIEJJLHBNGSYALOUXNQBXXZAAZJXENJJVVGFVHOTKSLEGLJVSJCQHSSZFEIOGBOGWSPIRENQAAWRQFBEFEXBKGMSTRC
PYIANSGMNKBCDPHWDUPKICQEUDNZPNGRUJYSZIRLXGXXITAFBCANGDLVAQLDPVTJNSAUZMBBNOBBOERSHQIOLBVTSPPJKVCMXUBS
IKMDIYSNCJZKJKJQMTIKEPRUNAHJUSWJHSLWIVWHYAYLOIOGSZVWKQWXZDBPHWZRAIPMXDJHBIISVJWVEVZAEGAKCYYMNZARBZPC
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FBQASGNCCBBGNKJHCDBTGBIIWKMPHDABKEWDEPYEAVKNMPATUZZUOEHGUGAZNECSGUCIIJPMMRAMTVADMTCRJCBWDLWWFNFOWMVZ
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CURAGWXMLYBSIZLAXFONZZMQMRNNSRQKRHQGFGZUTLONAYRKSSOWAMKZBSGOOYQDPTBHGPBNQEDCZHRTOXREOFJEKJVIZXZBCJPN
KGYBZTZRKOGBETJRUWRNUCIFKIMCZGYTZLCZYGCGKVZRJIFZQIQPTCPPUHYWIXBOFFGSGSAIMNGKKUUROAVNJUQQNSWJRZIZEHAF
DDAOBVCPOVODVJFLSNPJXHWQBHILWZAHQQMTQASNADZLZNXJLJMFCOUWOZJCMVVTYCKTUBABWLCEBNYWAMOLNBQQYBRUJCQCZALE
TVVRPMYFIKINHIUEJBDLTCUMMUWICIUVCZNIQIUEWVAHLANQIAONMEYJWPDAFXVNOSOFDOCESSLGZPTJINBUAFWWWMPTYALZIGVD
DCZGKILMBFXIQQFEKJBIUDEMIFCANVGNYZAYSQFMNNQFEPZFUUVGTBKSMDXITBLANQIAOQUKTPNYPOWSQQYWWMJHSDYVFDJYXBAF
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SYSFUAJFKIPUJVQSZRWQCJYAUMLDDNOKODDXIEQIFLANQIAOZFUNKUBVDBLMJOAUTVCZVLKJRQIORQPGAVCEYVNYUZHXILHERYEC
GJEKWEKIJNIWUXZNVIWIAANHIOSOLATSQFSSCTAKESUTSPPYFHEHLVLIBJZEEBCOWMNHFTZMAPKFUPNFLTFFJQRVJHAKDVMGGUIX
KAKXXNKSOAIQNALLWKWGVACYWBQEVTFSEUCYRORQTHWFUJFLQHONWZEKPLSNPRPBOMOFFCPMKXFZBKIERBKDYFKYUEYVYRPMOAQI
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package _09第九届;
import java.util.Scanner;
public class Test03字母列阵递归 {
static final int N=100;
static char [][] data =new char[N][N];//字符矩阵
static final char[]src= {'L','A','N','Q','I','A','O'};//要查找的数
static int []dx= {1,1,0,-1,-1,-1,0,1};//八个方向
static int []dy= {0,1,1,1,0 -1,-1,-1};//八个方向
static int ans;
public static void main(String[] args) {
// TODO Auto-generated method stub
Scanner sc=new Scanner(System.in);
for(int i=0;i<N;i++) {
data[i]=sc.nextLine().toCharArray();//将字符串转化为数组
}
//做双重循环
for(int i=0;i<N;i++) {
for(int j=0;j<N;j++) {
if(data[i][j]=='L'){
for(int d=0;d<8;d++) { //尝试第一个方向走一步
int _x=i+dx[d];
int _y=j+dx[d];
if(_x<N&&_x>=0&&_y<N&&_y>=0) {
dfs(_x,_y,1,d);
}
}
}
}
}
System.out.println(ans);
}
private static void dfs(int x, int y, int index, int d) {
// TODO Auto-generated method stub
if(data[x][y]!=src[index]) {
return;
}
if(index==6) {
ans++;
return;
}
int _x=x+dx[d];
int _y=y+dy[d];
if(_x<N&&_x>=0&&_y<N&&_y>=0) {
dfs(_x,_y,index+1,d);
}
}
//检查八个方向
}