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usaco-2.3-prefix-pass
这个题目要想办法用DP方法来解决:dp[i]=max(dp[i],dp[j]+j-i.
/*ID: qq104801LANG: C++TASK: prefix*/#include <iostream>#include <fstream>#include <string>#include <vector>#include <cstdio>#include <algorithm>using namespace std;vector<string> pri[26];char src[200001];int dp[200001];int len=0;inline bool find(const string &s1){ int index=s1[0]-‘A‘; for(int i=0;i<pri[index].size();++i) if(s1==pri[index][i])return true; return false;}void test(){ freopen("prefix.in","r",stdin); freopen("prefix.out","w",stdout); string str; int pri_max_len=0; while(true) { cin>>str; if(str==".")break; if(str.size()>pri_max_len)pri_max_len=str.size(); pri[str[0]-‘A‘].push_back(str); } while(!cin.eof()) { cin>>src[len]; if (src[len]!=‘\n‘)++len; } --len; string s0(1,src[len-1]); if (find(s0))dp[len-1]=1; for(int i=len-2;i>=0;--i) for(int j=i+1;j<=i+pri_max_len && j<=len;++j) { string s(src+i,src+j); if(!find(s))continue; if(dp[i]<dp[j]+j-i)dp[i]=dp[j]+j-i; } cout<<dp[0]<<endl; }int main () { test(); return 0;}
test data:
USER: cn tom [qq104801]TASK: prefixLANG: C++Compiling...Compile: OKExecuting... Test 1: TEST OK [0.008 secs, 4484 KB] Test 2: TEST OK [0.008 secs, 4484 KB] Test 3: TEST OK [0.008 secs, 4484 KB] Test 4: TEST OK [0.014 secs, 4484 KB] Test 5: TEST OK [0.030 secs, 4484 KB] Test 6: TEST OK [0.462 secs, 4484 KB]All tests OK.YOUR PROGRAM (‘prefix‘) WORKED FIRST TIME! That‘s fantastic -- and a rare thing. Please accept these special automated congratulations.Here are the test data inputs:------- test 1 ----A B C.DABCDHETHBNAGRKGJTHNUE------- test 2 ----A AB BA CA BBC.ABABACABAABC------- test 3 ----AH AS AZ BW CD CK CN CU CZ DB DH EC ED EN FJ GA GK GM GS GTHA HN HZ IN IR JB JD JM JZ KG KI LO LQ LU LW LY MJ MT MV NDNM NS OB OI OK OM PG PO PQ PZ QE QP RG RK RN RP RQ RR RS RUSA SF SJ SN TK TR TU TY UA UO US UW UX VH VL VO WF WH WL WSWZ XU XW XY YA YI YN YT ZF ZH ZJ ZL ZR ZX.ASCDCKCUEDFJGKGMHAIRJMKILQLWLYMJMTMVNSOIOKOMPOPQQPRGRNRPSJTUTYWSWZXWYIYTAHAZBWCDCNCUDHECENGAGMGSGTHAHNKGLQLULWNMOBOIOKOMPGPOPQPZRGRKRNRPRRSATRTUUWVLVOWFWLWSXUXYYAYIYNYTZFZJZRZXBWCKCUFJGAGSHAHNIRJBJMKILQLUNDNMNSOKOMPQQERGRQRRRSSASFSJSNTUTYUAUOUWVLWHXUXWXYYAYTZFZJZLZRZXASBWCDCNDBECEDFJGSHAHNHZINJMKGKILQMJNMNSOKOMPQQPRRRSSFSJSNTRTUTYUAUWUXVLVOWLWSWZXYYNYTZFZHZRZXAHASAZCDCKCNDBECENGMGSHAHZIRJDKGKILOLYOBOKPGPQQPRRSNTRTYUOUSUXVHVLVOWFWLWSXYYNZJZXZZAHAZBWCDCKCNDB------- test 4 ----A B C D E F G H I J K L M N O P Q R S T U V W X Y ZTMZJRCSVKE YAXHTTSKAS ORZOAQFEUH RDWEYPIPUR OVKUKKPPBESRSJENXUMG OZXKJBPSUR JBCXBMZYLS FOKTWKDYGZ MLKEKYMZJPFSTQJEKMOH RZWBKVBODO PFCJKNKVSS UZZTUAKJVG LVIMIPOJMCWVHLXQTOCH GGJNVZEOHU OWRLNKVLQR KBJMYCJOSM AFHJBCELORZQYROXJQGI PQYVVFURPS PRFNFYLTAX XMOHHMVYOW GQHYUJEDWHVCTMUNTNZC LKAVAHKYRS KGEUPFEIQV GGRQGMVNJM TQHXIPBGVOXKHHJNEZON UBHMCQBRAN FYPOXIZVDK BZDKNQPAVB LUFKIFAIYRSYNAFTLZIM PHGBZKCFLF VJDEGYRYRX AOFSPDQKTT HNVQHEDWQCPYWMSNSMIU IIDDRLXXQI CFOZDRGOIW LYWANLBPKW UCQRAIKTTGWCRFAOGBVF CDMPUGBGPS RPEWCKQNCW QSLHDXVUZC FMHZYQVXKJZCOJXHSSEV WKJKMAOHHT BOIFKJSFYK BXZVFKJGEC INEWLDWTFYFDHBAHYURD NRMJPGWCHA BFEJNEZOGE KFRWLNFLGG AHRTJQGRBPYEYKKKUPLX NIFUGFIXDP ILXBADIUTL ENLQIFNDYC AGSIZAYXHMZAUOXEDBTP IAKUHKDNFV MIQUTFLSFW ITPGMPQAEZ LBYZLIRTQEOROXJMYXLR XTEVKLOOIX GLQELFAXAZ PWRAWNPNSR BHHZQKKLRSACNYAKJEPA RJROUIHCWM HJRTBQSDGV WENEMDHMDC NCKXQUKUPGZDSZUMKCSB ARMILIXVKV TNGXZPLSMX NFOZQBWSTJ TFIQTYDSBWMRPAIRXIUK VRBNGAEFUM ECCJRITVNE QSFNAWFWUW JTYNBPQVVUKRAUJRYDJV JBRKFTOEOM CDRWEFOEMT JBDBJKGCXX XJMVOUYUOP.LIUGYTXCIHRCWBOBEQJEQZXOQQLCDILPRGWPZTRIAJKXLYYQPHUFHSTXIFAMNLBFRXURRMZRVKOGINXXURDCKXASCAFQLHVDEQVWCUNXECENPCLKUONEMNXONCFZJBDORYKUTYRYBWLRZXBTMOXYBUMPWSPFTSULQEFJCXIDUUUTRWMDLKBNEODBGSGAKBMBFRKIPTMJNHDEDQHPAJDEXGFEYMFINRJTJUBYNOIBVLFZCNOCWRGTXMXWZCEMUOGDJHCWVKXQWDQYQEBMWHGTUEPTHUGBJMFSTHPPSNGOQWNGBOTXWARREHKMCQOLDTDXASMTFTIWQVDRKWPHXHYBOJORACCDVGAWYNPEHXAXTEPDAFKYMJZBSOSSQUVLBWHAKXERUFPOJERKKCIWLIXEWQWMLSYMPGMZDRQYWGMGKERVHZRTIPXFFURRNQDCWPCAGTYDZLJKQAFXAWQJMOOSIGJVWNYTCATJTRNTDWDTXIQYFHIRVWKECUAZHYSKZLTTDGMGDPZBYQADXIVSEGXHAXHHVZSVLMOOSBUWRUYQKYTIGPBLVYTWVAERAWMLIBABDVYVQWLAVEICUJNQIHMDHRUINHUWJVYMQWHGTSHOXQQSADIILVLTMGBAOWXXRVJIRROLJWZHNPZNTIWEDIXQOZRCVOANJJVBBKMLGLSTBSHUADZDLXUAWLDSZDFJNBKOLXZSJRMKJTFKXFNICHJZTMSSPXBDZMRKJQCSIODSIICFNQNQYWPRJHJZFLCEXUPGKRZTGCMOLOTYEHODEEUNMENRQPWNJLUUDUOJWAXIORGTYVWCARQMWDEMSAACMUXPOLZLLXTAOAUNWQPWIFIEIMRBNREZLBPANPMYMGZBGTOCKEZSJIXSUOUIFYIRAXSNNEMZLLBREPUOTTHDCFWWTRFZQNRQLJEYOQXZCZRHOLWIFDMHIJECAJCQXTHICLGRCEQFDIMSUIAZMNHVWMXXWZNTTVBWHHNJMEPPMBHG------- test 5 ----ENGUSWIGSC JFNYOYLEDB PHEHNOBAYK BTYZTHQNIQ CRAGBJXWVR ZGZTDSFIWSJYBIPTMHBI TIYLPEHIIV PECVDSBYDA EHHLNQWSKO CENDOLKPUW TVZQYOBDXPMQLFRQWVAF IIRWJMHPKP BUVNMIHRSZ IASQCVZOYO HBCBZKKEUY JWXDRZOGYQAEFMXTGSRG VWRXWNQILZ TIEXAZWXPK OVECKDQKBM KIEIUHKXMP UHMBFUWHBMKJNZDWXNWV NUUKZGICUW YTCEKTULJT EMMQTDQRIV BMWTYNMIPH NZNLIFWMAJBFYFIRTMQG UQZDZQZBML RICCFPQGKQ WWLNEAJIIU NNXBOEAWLN OKWPKJORNJZBULKOBCHU IDHQZRWETW NHFMWZACKO RGAOYNIIPD UQJZOZYGNJ HNQPKCVFSDMEBBWEOMSE UJVLAVNWNP PIHADVKSSE FSPCAKQJWU EOSBPHKSVX GTVAXCJKVWHYBSSTCQGZ YIJUPIIHLQ TNBVZAWJNL GEYGBOIOKU NAOLBVGVUD AKARJWHGIAFOYNGELEZS WWDACICGE TGYXHPUXVC YCPNFMSKCM DIOBUPLNGE KQMXBWSPYURGRXHPFDAQ AQPBHAAEHE EJZYPAXQDH UTLTYKXVTC VBSEJWFGQG ZAQZXGGAHALTNCQOHJPJ GRCRORKPTC FDTZBNPULT JKWGCMCLAQ BIPZKBZKMQ LRFQMTGKWUIJJPRTXPUZ IHLVZVEYHA RMCMQPJUQG NFFENIOEAL GRJUQEOGIV OXHXGRGEPKAIXWAOBCNM GCKBWURWYS UBHYPVJPTZ UJVVZAGCNM DGEHSIEMNL WPEMSNVWYQWKESVPVRLO EXFHYRZMPG UIKIADZUUS SYJVCLHGVT KBGHGVBXTV UDTNVZXAFXAWGSQFNUQD GPPEAOIAPE AQIEBIUYQC GJRQKRPEPD HRBUIZRDYL QBZXHLMFFZOXCWWJGODC ZYLIZPHDEZ AERBTHAJPC JOPETSWKWP HWEMBMSDOE TIXEHGIPYLWKWRMKYOAF DABSSDLBCB YXNOEJTTVQ IXZACTAQVR QVMGHXSPGV CGCFAUNNFXRVREEQLQEX LMZODHIKZJ TZACGJMFDB AXNILOEDOF JUWUEWDNOE QIFVFRVKPFJZPXQFMSVW WSNBJONCDF KQNYXRKDYQ ZLKJIFZMVX DAXOUMMCFF ATXMFJXZDGAUALDFUMCH BKVNMVWKGA CYMDRVPPMP BJEMEQUVEH VUEJWQAJAM MTXCEFXINMBOUNQSMRKS YGBMDLJLJA VPTNXCARMT NTQZCMUILW LBBOYKXNRG NXXIHTQUHXTRKNDZGORD BELCFBKIWW ZLDKJYMKMP DTJKWUTPNQ DLEEVEKRCK SYQSVJZBFFGDYUJYCOJX ZHVGNJWFHA LASJGRXPQJ YVQGQUMEKS SLXQPLJYEE AJKVUQCWQIIETPWELCDH OXGTRKBWON FWZMAZZVAN YRKATBTNEE CRJVHLVHVY TRCHHVHLTYMSVHIOSJVV MKRBIZJMKP PMPPNDZLNJ PVDMXHVYHW SPVVDAGMAJ AWPXYKTAHUGRZCYODLSV REWNREMMNG MNQZKLEYNC MDLASBGWRW OAGVCKZDIN XKEYBVUEOAJPQLIDEGPA NGDJLFGBLI UFRHHENEIM INZBMNFWYF GBVVCZTUNB PWEPENCABADSETBXLXJL UJQHLADLME SAPMEDACZF ISFTADLENC YBNVXRRVSS ENSVULBETRHPRJZQSDVL DZNDFDDYKJ XHNIFIUHUO BPSISEBMVP INFNXJUKGT LOEBCNKJINJNLLVBMMEV FPZACDSVJM QWPZMBKQHQ QFDWWGGCBC JGWWXZSBCA PJQYJLCLINDHRVXPZNDZ XSRTPPFBAE QSKTQIRZBC WMXYLOGTLI QUXDLUYCWN VAVRAWRGAEOBORBQCEBC NNGAOLHJST NQNLQYMQPZ JKUVZOMOKJ EPMVKGARME JMDMIDZEUPTVXWWSARQY JFFYTGGIUO.AEFMXTGSRGAERBTHAJPCAIXWAOBCNMAJKVUQCWQIAKARJWHGIAAQIEBIUYQCAQPBHAAEHEATXMFJXZDGAUALDFUMCHAWGSQFNUQDAWPXYKTAHUAXNILOEDOFBELCFBKIWWBFYFIRTMQGBIPZKBZKMQBJEMEQUVEHBKVNMVWKGABMWTYNMIPHBOUNQSMRKSBPSISEBMVPBTYZTHQNIQBUVNMIHRSZCENDOLKPUWCGCFAUNNFXCRAGBJXWVRCRJVHLVHVYCYMDRVPPMPDABSSDLBCBDAXOUMMCFFDGEHSIEMNLDHRVXPZNDZDIOBUPLNGEDLEEVEKRCKDSETBXLXJLDTJKWUTPNQDZNDFDDYKJEHHLNQWSKOEJZYPAXQDHEMMQTDQRIVENGUSWIGSCENSVULBETREOSBPHKSVXEPMVKGARMEEXFHYRZMPGFDTZBNPULTFOYNGELEZSFPZACDSVJMFSPCAKQJWUFWZMAZZVANGBVVCZTUNBGCKBWURWYSGDYUJYCOJXGEYGBOIOKUGJRQKRPEPDGPPEAOIAPEGRCRORKPTCGRJUQEOGIVGRZCYODLSVGTVAXCJKVWHBCBZKKEUYHNQPKCVFSDHPRJZQSDVLHRBUIZRDYLHWEMBMSDOEHYBSSTCQGZIASQCVZOYOIDHQZRWETWIETPWELCDHIHLVZVEYHAIIRWJMHPKPIJJPRTXPUZINFNXJUKGTINZBMNFWYFISFTADLENCIXZACTAQVRJFFYTGGIUOJFNYOYLEDBJGWWXZSBCAJKUVZOMOKJJKWGCMCLAQJMDMIDZEUPJNLLVBMMEVJOPETSWKWPJPQLIDEGPAJUWUEWDNOEJWXDRZOGYQJYBIPTMHBIJZPXQFMSVWKBGHGVBXTVKIEIUHKXMPKJNZDWXNWVKQMXBWSPYUKQNYXRKDYQLASJGRXPQJLBBOYKXNRGLMZODHIKZJLOEBCNKJINLRFQMTGKWULTNCQOHJPJMDLASBGWRWMEBBWEOMSEMKRBIZJMKPMNQZKLEYNCMQLFRQWVAFMSVHIOSJVVMTXCEFXINMNAOLBVGVUDNFFENIOEALNGDJLFGBLINHFMWZACKONNGAOLHJSTNNXBOEAWLNNQNLQYMQPZNTQZCMUILWNUUKZGICUWNXXIHTQUHXNZNLIFWMAJOAGVCKZDINOBORBQCEBCOKWPKJORNJOVECKDQKBMOXCWWJGODCOXGTRKBWONOXHXGRGEPKPECVDSBYDAPHEHNOBAYKPIHADVKSSEPJQYJLCLINPMPPNDZLNJPVDMXHVYHWPWEPENCABAQBZXHLMFFZQFDWWGGCBCQIFVFRVKPFQSKTQIRZBCQUXDLUYCWNQVMGHXSPGVQWPZMBKQHQREWNREMMNGRGAOYNIIPDRGRXHPFDAQRICCFPQGKQRMCMQPJUQGRVREEQLQEXSAPMEDACZFSLXQPLJYEESPVVDAGMAJSYJVCLHGVTSYQSVJZBFFTGYXHPUXVCTIEXAZWXPKTIXEHGIPYLTIYLPEHIIVTNBVZAWJNLTRCHHVHLTYTRKNDZGORDTVXWWSARQYTVZQYOBDXPTZACGJMFDBUBHYPVJPTZUDTNVZXAFXUFRHHENEIMUHMBFUWHBMUIKIADZUUSUJQHLADLMEUJVLAVNWNPUJVVZAGCNMUQJZOZYGNJUQZDZQZBMLUTLTYKXVTCVAVRAWRGAEVBSEJWFGQGVPTNXCARMTVUEJWQAJAMVWRXWNQILZWKESVPVRLOWKWRMKYOAFWMXYLOGTLIWPEMSNVWYQWSNBJONCDFWWCACICGEWWLNEAJIIUXHNIFIUHUOXKEYBVUEOAXSRTPPFBAEYBNVXRRVSSYCPNFMSKCMYGBMDLJLJAYIJUPIIHLQYRKATBTNEEYTCEKTULJTYVQGQUMEKSYXNOEJTTVQZAQZXGGAHAZBULKOBCHUZGZTDSFIWSZHVGNJWFHAZLDKJYMKMPZLKJIFZMVXZYLIZPHDEZQSXSCCSANOSYXXTBVFQOQSGHTWSIVOFLGDDJFVKTKCRIZLJVQAJHSQOMNGVIUBTBEXLKTVDDYUMXGVSWVCDOTSBGZWOUXIVCFHNYCRCAMPYSKRPGUTUNLVTKSHEQPASVHGUKXXLJMJCXBRDVKXJVTCGLKLBALUWTAQDYOPHAZKXABBWLYFHSINESYFTKAPDBFHZTWHUVRSWSTSDSYKKGYOYXURHUHLVMTVGPCALTTILMBPEZAPFZDEWXWESDPOPIJWYMXKFQSRDUHHTHWYHADDYZHRCXFSFPOEBMOGDHYGBFOVNLTULXYJWFAZDGRIVGNXTCDWJCCLHQGVBAQNXOWUUXTXEKGARTXKVBGFDJRLZXHBYXOVMLPGJIDNTKOLDLVZNCFQLWCLUJNSHBNTNDZWMDKGOYRSKNRXQXOBTRNNBAFICTBPXBMJFWPTVHLGVDDLASNUKAHLBNTDGVTDXFNCBDVXKHDFLHRLAEGKFNVGBPKIKDMHIZ------- test 6 ----A AA AAA AAAA AAAAA AAAAAA AAAAAA AAAAAAA AAAAAAAABAAB AB ABB BAB 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up the good work!Thanks for your submission!
usaco-2.3-prefix-pass
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