题目：给你两个字符串，求一个最短的串，使得这两个串是目标串的子串。
分析：DP，最大公共子序列。最长目标串的长度为两串和减去最大公共子序列；
最长目标串的数量就是所有长度相同的情况的数量加和（路径的加和）；
状态f（i，j）为串str1的前i个字符和串str2的前j个字符的最大匹配数，则有转移方程：
f（i，j） = f（i-1，j-1） { str1[i-1] == str2[j-1] }
= max（f（i-1，j），f（i，j-1）） { str1[i-1] != str2[j-1] }
说明：有可能有空串，用gets读数据；数据最大是2^32使用无符号整数。
#include <iostream>
#include <cstdlib>
#include <cstring>
#include <cstdio>
using namespace std;
char str1[32],str2[32];
unsigned int F[32][32];
unsigned int S[32][32];
int main()
{
int n;
while ( scanf("%d",&n) != EOF ) {
getchar();
for ( int t = 1 ; t <= n ; ++ t ) {
gets(str1);gets(str2);
int L1 = strlen(str1);
int L2 = strlen(str2);
for ( int i = 0 ; i <= L1 ; ++ i )
for ( int j = 0 ; j <= L2 ; ++ j )
F[i][j] = S[i][j] = 0;
for ( int i = 0 ; i <= L1 ; ++ i )
S[i][0] = 1;
for ( int i = 0 ; i <= L2 ; ++ i )
S[0][i] = 1;
for ( int i = 1 ; i <= L1 ; ++ i )
for ( int j = 1 ; j <= L2 ; ++ j )
if ( str1[i-1] == str2[j-1] ) {
F[i][j] = F[i-1][j-1]+1;
S[i][j] = S[i-1][j-1];
}else if ( F[i-1][j] > F[i][j-1] ) {
F[i][j] = F[i-1][j];
S[i][j] = S[i-1][j];
}else if ( F[i-1][j] < F[i][j-1] ) {
F[i][j] = F[i][j-1];
S[i][j] = S[i][j-1];
}else {
F[i][j] = F[i-1][j];
S[i][j] = S[i-1][j] + S[i][j-1];
}
printf("Case #%d: %u %u\n",t,L1+L2-F[L1][L2],S[L1][L2]);
}
}
return 0;
}
测试数据：（注意最后几组含有空串）
100 URRXCSCCVWATCGWSMALTJ HS NNGMSFVFML NAPBKMIBSRUJJEMEE TFGNSTCD HDNWG XHHUVMJWKRPPTVQEXMTOIXQDFCV GKAINHBJMPQCCOKKF SIGCLITOPEEFRAFKEJAEP KKMFHMXMSMK FXFWBBCARQUMRROGLCQWPUIH RANEUSKXQSPWCUKVBIRND SOBOAPLBAJQVXAPNIB TVKEGILXSEFN QIDDUHXUMWXSAKD OHHNLWDWSKVJXCDN CDITGPPUXBUQLIPUFKBBDXQO APGSUJ HSEBAVLTJKJTIWCDCPKWM VE OBNQNX JGHKEMGKHXDCPSBRKS TFEJTEOWICPFDHO AMI RFIRMGWRFNW IEWUHAKSMEFIMULAHMFUJ OUERDONUIRXTQAETW MXVHDEUFPJRW CFCFHFF UPSMGQBBGBGJVSNVKKA CEWFHBTJRCVLFSTPAQNKC XBUUAMHMTGUGEXNEWRPPSXFEXRI KB DVCSMIWVHQCGXRPJTXAOXPSD VQIMF UBOILPHEMOQFTSJ WFAKABMXIUTBMEMEBGXTEFGFWMO FTPTPASKXVIURRJBXMDXEXSGJHIJWB LFQQ FMPLG LIDTBKJBDRHEBDBSFIAROS EQQOPQHWIOIPJFIMEUKPD ULS BEOFXBOJMMWPURVAOGFSWDSJUCP FM WOWOUFSXGLQJCPEWEHRXSKLIJRWN HHFDDKXIBQCMSD MSEDJDSBWT UQMSMAAQDIFNUTV WGKSGIRTGEPIBSNMPKOTCPXLDKEH ANKOGDHSMTGRTNJVCKEG VVBLGFBXRH KUNRPQIMIOWSXLTGCXXAPRIWLJPSFK NMTS NAQADEQVDGV NJCKMNVGAVKJIIFMDIPEFMJF LRNUFMF MDH VPQFFKBVJDIAISQVJMXNC AFCBEIBNDWHKVKABCF KCLU UCRRNPAJV RJLLSCFKQUJUXFSHPRUCUO HWIPKRDLJKBXINNEHAIRMD JPDITATLRBMKQNDDHI BKMEXBRTDLSWR XPBHKRIPGJ XVHGSATCVNPNEMEPAGBTWIBF FJGCCRBFNEVFGKTKABSLUOTCE KHTQSK A SIAUICGNKSFXHQLQ WHURSO DOMCEXCATELJNHOGAJLWITRRSLQ OALBQDEBJWDAHNL WSFTKEUKPXJCMEE DUEI WJAWEQOQOWCRCSUEDHLQSMGBACG AU JJIXBJQBCSCBPHEVLTJPTREXIPH DLOPVFDCAANIWEOPXOURHCICTXSA PCIOTGTFNWDQQMRKDUTPXLXH WOOAUVXUCCDDWDO HARXENF VJSNSGRPPHRGKCVXPWXWC IVURHSSAQTXQCCA LPD TRUJWQCQEXANIUGJGBINH VGEOIESXWSMNLFHUQXVUAGPADHXQH GFLLIUTAGXSGBUDLXVXWKQTXMPV CBSJANKJLAUGGNFCBM GOQLWOD WLHILGFHGBHFGORDFOSVAOUURMPNXK EVHNWRFDMDLDWQOXSPCGWIARTHV HECSKOLILW JE NREVRSFENQLMMGVMRFVCFMBSQPUKW G ALCXHB SLTQTV XOBSBFMMMWTLAWTVDIUSNLSLBVXVUK CAONBBRBUNSGQQDCTLTX JXNNGWKNMGNHPHJQPUHVOI AJWCVNBVWPHBRTSIWKJ LUPGHMOMCRUCM BLAKQD EFQAEQJLCUSOGSGTPH HHMXPAWQXXXFRGVSFDEAWD UWSSAFNFAVGG OVG RHQGSMLUALMLLJXCVETSIFSSLE KVWSBOCRHMQMRLEPPVHHCUHLMPPI DKFVXBSNQGDIACRBFJMO STSNFGJLXTCAGS PVDUWBSLIJDGRGVIVX HQEFRAJNJBJSPHDXATSM WPRQDPWCGTONNQOBF RV XKJBHPAFVDRW MXITKGEXII IWMRFXRLHWOEDGQLCNGKDMFQATG SU CHRTP UWOCUOEDRQHCCMTVUQDCMXAJCBM CXBDGVTHIPMC NKPTWSPQMOHFXUIFMWBVOJQEGQPNBK AOHPXONIAMRHJKWSVKHVQTJTP DVUTMRCL NBMM NVAHVHQSVK AJHRNSSMQDCJNQ EPUNALABTWNCQ AMINIMNEE JUTJNAPVTHGACWLPMBFWSPXXDDTKT HXFPVTA KQ BBJ LJOOSSRBBHCHDACSHKK AJBLHHRABEAWQGGGQTTWEBTFDUW LIOCDLINAMTMABDBCE IAXEKUDWQXRKDCMCVBR FGAXGMQQJQUM DRBIHFTCWMMH VOCWNBLXBNTTHORLAOCTTCKGCAKW OSFDFVNSLKUSR ETKSFDRIPWRUONJBFONLOFW XVNECOLBLHONSQKQHSCH VQVVUKPXSHOSIO ALJCKCFJ FRJLWDDWVHGNEFKNSWRXMFTGRRSAWC BMDKNEHXNUOFBUBSVKQ ODJOTMFKAKPBJIRHI UOUFSEIJSSTNJFVVFWLRKIKICOD NKLNVNDLPQAOLB LRNQHWN ODPIRJQMXRKXUVC GAUAQUAKIVNSNSWAMMUOU TRJGDAAR TCHBUOQRJVXMDHOXDSFE FHWGKQDIBJQMQJSIHEJVHNW GCXLVOTIBFC JVOQLTEDXET TCFDJF WCVXGFTBTOMOVVSWTJEKGNOBDSM FNMRDGXGTKTHKGCGCNUDF EWXTBVQSFQSTMIMBQDBGDPASAQVK EBUEVQQELAARODWSLUCLVMXCC TFFRMFQRROBJOWQIAFCL KWNQHCAOATKMJLMHXVQOQLV OSU KUAQSSHSKIVUEBKKOFR XUDS DGDR NWUNKJMBKPKBKNGSTLBDAXIHIISM COMFJHKGRCHKECGEPTMEVQTNDGC LSXJC XDUIWOML R VULMRACUNVESPSI VRVTRRAUBMVRSIDQSOFID BNXMVRVGWDCQFRFUMKGCCOPUNDU BHAAAABFNLWIIJPPGDEVJK BOVHDQPFIFITSJ CJSSEAINBBNJH EBSXKKGSTIFJBHOTDCEUQ UWUJVMG RWVUHLRPILGKUWBBRCGVRTLEHCE KSMBBOMUCWEIUAMBQUPCKJMJPL CGEFFILRJBTCGPNNQVCTMFGVDQERN DQDEDFTBBLUVVQWORKHISOOIH STXRQMBBJ EAFLQPFRKBDWHKKXJ QWSVDSOUOQPKBTJIE GNSNGADPRQPKSCMWGXGOWKGIEQQL QKGMMBXMRFOS XHCEFUJFXAP
UVa 10723 - Cyborg Genes
时间： 2024-10-06 19:17:21