F - Blue Jeans
Time Limit:1000MS Memory Limit:65536KB 64bit IO Format:%I64d & %I64u
Submit Status
Description
The Genographic Project is a research partnership between IBM and The National Geographic Society that is analyzing DNA from hundreds of thousands of contributors to map how the Earth was populated.
As an IBM researcher, you have been tasked with writing a program that will find commonalities amongst given snippets of DNA that can be correlated with individual survey information to identify new genetic markers.
A DNA base sequence is noted by listing the nitrogen bases in the order in which they are found in the molecule. There are four bases: adenine (A), thymine (T), guanine (G), and cytosine (C). A 6-base DNA sequence could be represented as TAGACC.
Given a set of DNA base sequences, determine the longest series of bases that occurs in all of the sequences.
Input
Input to this problem will begin with a line containing a single integer n indicating the number of datasets. Each dataset consists of the following components:
- A single positive integer m (2 <= m <= 10) indicating the number of base sequences in this dataset.
- m lines each containing a single base sequence consisting of 60 bases.
Output
For each dataset in the input, output the longest base subsequence common to all of the given base sequences. If the longest common subsequence is less than three bases in length, display the string "no significant commonalities" instead. If multiple subsequences of the same longest length exist, output only the subsequence that comes first in alphabetical order.
Sample Input
3 2 GATACCAGATACCAGATACCAGATACCAGATACCAGATACCAGATACCAGATACCAGATA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA 3 GATACCAGATACCAGATACCAGATACCAGATACCAGATACCAGATACCAGATACCAGATA GATACTAGATACTAGATACTAGATACTAAAGGAAAGGGAAAAGGGGAAAAAGGGGGAAAA GATACCAGATACCAGATACCAGATACCAAAGGAAAGGGAAAAGGGGAAAAAGGGGGAAAA 3 CATCATCATCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC ACATCATCATAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AACATCATCATTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT
Sample Output
no significant commonalities AGATAC CATCATCAT 题意及题解转自：http://blog.csdn.net/qiqijianglu/article/details/7851454
题意：求n个字符串的最长公共串。
求n个字符长度最长公共子串。对于多模式匹配问题,一般是不可以用KMP解决得，因为忒暴力。
思路很简单：我们先按字符串的长度由短到长进行快排。枚举第一个字符串的不同长度子串，判断她是否为下面多有的公共子串？如果是的话，那么我们就表明找到，则比较其长度，如果比已经找到的串长，那么就替换结果串 否则按字典序比较。取字典序考前的，就可以。
1 #include<iostream>
2 #include<cstring>
3 #include<cstdlib>
4 #include<cstdio>
5 #include<algorithm>
6 #include<cmath>
7 #include<queue>
8 #include<map>
9 #include<set>
10 #include<stack>
11 #include<string>
12
13 #define N 65
14 #define M 105
15 #define mod 10000007
16 //#define p 10000007
17 #define mod2 1000000000
18 #define ll long long
19 #define LL long long
20 #define eps 1e-6
21 #define inf 100000000
22 #define maxi(a,b) (a)>(b)? (a) : (b)
23 #define mini(a,b) (a)<(b)? (a) : (b)
24
25 using namespace std;
26
27 int T;
28 int n;
29 char text[N][N];
30 char result[N];
31 int ma;
32 int l;
33 int le;
34 char pat[N];
35 int next[N];
36 int mma;
37
38 void ini()
39 {
40 int i;
41 ma=-1;
42 scanf("%d",&n);
43 for(i=1;i<=n;i++){
44 scanf("%s",text[i]);
45 }
46 l=strlen(text[1]);
47 }
48
49 void get_next()
50 {
51 memset(next,-1,sizeof(next));
52 int i,j;
53 j=-1;next[0]=-1;
54 i=0;
55 while(i<le)
56 {
57 if(j==-1 || pat[i]==pat[j]){
58 i++;j++;next[i]=j;
59 }
60 else{
61 j=next[j];
62 }
63 }
64 }
65
66 void KMP()
67 {
68 int i,j,k,m;
69 mma=200;
70 for(k=2;k<=n;k++){
71 i=0;j=0;m=0;
72 while(i<l && j<le)
73 {
74 if(j==-1 || text[k][i]==pat[j])
75 {
76 i++;j++;
77 m=max(m,j);
78 }
79 else{
80 j=next[j];
81 }
82 }
83 mma=min(m,mma);
84 }
85 }
86
87 void solve()
88 {
89 int i;
90 char te[N];
91 for(i=0;i<l;i++){
92 strcpy(pat,text[1]+i);
93 le=strlen(pat);
94 get_next();
95 KMP();
96 if(mma>ma){
97 ma=mma;
98 strncpy(result,text[1]+i,ma);
99 result[ma]=‘\0‘;
100 }
101 else if(mma==ma){
102 strncpy(te,text[1]+i,ma);
103 result[ma]=‘\0‘;
104 if(strcmp(te,result)==-1){
105 strcpy(result,te);
106 }
107 }
108 }
109 }
110
111 void out()
112 {
113 if(ma<3){
114 printf("no significant commonalities\n");
115 }
116 else{
117 printf("%s\n",result);
118 }
119 }
120
121 int main()
122 {
123 //freopen("data.in","r",stdin);
124 //freopen("data.out","w",stdout);
125 scanf("%d",&T);
126 //for(int ccnt=1;ccnt<=T;ccnt++)
127 while(T--)
128 //scanf("%d%d",&n,&m);
129 //while(scanf("%s",s)!=EOF)
130 {
131 ini();
132 solve();
133 out();
134 }
135 return 0;
136 }