HDU-4691 Front compression 后缀数组

  题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=4691

  后缀数组模板题,求出Height数组后,对Height做RMQ,然后直接统计就可以了。。。

  1 //STATUS:C++_AC_828MS_11284KB
  2 #include <functional>
  3 #include <algorithm>
  4 #include <iostream>
  5 //#include <ext/rope>
  6 #include <fstream>
  7 #include <sstream>
  8 #include <iomanip>
  9 #include <numeric>
 10 #include <cstring>
 11 #include <cassert>
 12 #include <cstdio>
 13 #include <string>
 14 #include <vector>
 15 #include <bitset>
 16 #include <queue>
 17 #include <stack>
 18 #include <cmath>
 19 #include <ctime>
 20 #include <list>
 21 #include <set>
 22 #include <map>
 23 using namespace std;
 24 //#pragma comment(linker,"/STACK:102400000,102400000")
 25 //using namespace __gnu_cxx;
 26 //define
 27 #define pii pair<int,int>
 28 #define mem(a,b) memset(a,b,sizeof(a))
 29 #define lson l,mid,rt<<1
 30 #define rson mid+1,r,rt<<1|1
 31 #define PI acos(-1.0)
 32 //typedef
 33 typedef __int64 LL;
 34 typedef unsigned __int64 ULL;
 35 //const
 36 const int N=100010;
 37 const int INF=0x3f3f3f3f;
 38 const int MOD=1000000007,STA=8000010;
 39 const LL LNF=1LL<<60;
 40 const double EPS=1e-8;
 41 const double OO=1e15;
 42 const int dx[4]={-1,0,1,0};
 43 const int dy[4]={0,1,0,-1};
 44 const int day[13]={0,31,28,31,30,31,30,31,31,30,31,30,31};
 45 //Daily Use ...
 46 inline int sign(double x){return (x>EPS)-(x<-EPS);}
 47 template<class T> T gcd(T a,T b){return b?gcd(b,a%b):a;}
 48 template<class T> T lcm(T a,T b){return a/gcd(a,b)*b;}
 49 template<class T> inline T lcm(T a,T b,T d){return a/d*b;}
 50 template<class T> inline T Min(T a,T b){return a<b?a:b;}
 51 template<class T> inline T Max(T a,T b){return a>b?a:b;}
 52 template<class T> inline T Min(T a,T b,T c){return min(min(a, b),c);}
 53 template<class T> inline T Max(T a,T b,T c){return max(max(a, b),c);}
 54 template<class T> inline T Min(T a,T b,T c,T d){return min(min(a, b),min(c,d));}
 55 template<class T> inline T Max(T a,T b,T c,T d){return max(max(a, b),max(c,d));}
 56 //End
 57 
 58 char s[N];
 59 int d[N][20];
 60 int num[N];
 61 int sa[N],t1[N],t2[N],c[N],rank[N],height[N];
 62 int n,m;
 63 
 64 void build_sa(int s[],int n,int m)
 65 {
 66     int i,k,p,*x=t1,*y=t2;
 67     //第一轮基数排序
 68     for(i=0;i<m;i++)c[i]=0;
 69     for(i=0;i<n;i++)c[x[i]=s[i]]++;
 70     for(i=1;i<m;i++)c[i]+=c[i-1];
 71     for(i=n-1;i>=0;i--)sa[--c[x[i]]]=i;
 72     for(k=1;k<=n;k<<=1){
 73         p=0;
 74         //直接利用sa数组排序第二关键字
 75         for(i=n-k;i<n;i++)y[p++]=i;
 76         for(i=0;i<n;i++)if(sa[i]>=k)y[p++]=sa[i]-k;
 77         //基数排序第一关键字
 78         for(i=0;i<m;i++)c[i]=0;
 79         for(i=0;i<n;i++)c[x[y[i]]]++;
 80         for(i=1;i<m;i++)c[i]+=c[i-1];
 81         for(i=n-1;i>=0;i--)sa[--c[x[y[i]]]]=y[i];
 82         //根据sa和x数组计算新的x数组
 83         swap(x,y);
 84         p=1;x[sa[0]]=0;
 85         for(i=1;i<n;i++)
 86             x[sa[i]]=y[sa[i-1]]==y[sa[i]] && y[sa[i-1]+k]==y[sa[i]+k]?p-1:p++;
 87         if(p>=n)break;   //已经排好序,直接退出
 88         m=p;     //下次基数排序的最大值
 89     }
 90 }
 91 
 92 void getHeight(int s[],int n)
 93 {
 94     int i,j,k=0;
 95     for(i=0;i<=n;i++)rank[sa[i]]=i;
 96     for(i=0;i<n;i++){
 97         if(k)k--;
 98         j=sa[rank[i]-1];
 99         while(s[i+k]==s[j+k])k++;
100         height[rank[i]]=k;
101     }
102 }
103 
104 void rmq_init(int a[])
105 {
106     int i,j;
107     for(i=1;i<=n;i++)d[i][0]=a[i];
108     for(j=1;(1<<j)<=n;j++){
109         for(i=1;i+(1<<j)-1<=n;i++){
110             d[i][j]=Min(d[i][j-1],d[i+(1<<(j-1))][j-1]);
111         }
112     }
113 }
114 
115 int rmq(int l,int r)
116 {
117     int k=0;
118     while((1<<(k+1))<=r-l+1)k++;
119     return Min(d[l][k],d[r-(1<<k)+1][k]);
120 }
121 
122 int lcp(int a,int b)
123 {
124     if(a==b)return n-a;      //a和b为同一后缀,直接输出,字串串长度为n
125     int ra=rank[a],rb=rank[b];
126     if(ra>rb)swap(ra,rb);
127     return rmq(ra+1,rb);
128 }
129 
130 int w[N];
131 
132 int main(){
133  //   freopen("in.txt","r",stdin);
134     int i,j,k,Q,a,b,la,lb;
135     LL ans1,ans2,t;
136     w[0]=1;
137     for(i=k=1;i<N;i=j,k++)
138         for(j=i*10;i<j && i<N;i++)w[i]=k;
139     while(~scanf("%s",s))
140     {
141         n=strlen(s);
142         for(i=0;i<n;i++)
143             num[i]=s[i]-'a'+1;
144         num[n]=0;m=27;
145         build_sa(num,n+1,m);
146         getHeight(num,n);
147         rmq_init(height);
148 
149         scanf("%d",&Q);
150         ans1=(LL)Q,ans2=(LL)2*Q;
151         scanf("%d%d",&la,&lb);
152         ans1+=(LL)lb-la;ans2+=(LL)lb-la+1;
153         while(--Q){
154             scanf("%d%d",&a,&b);
155             ans1+=(LL)b-a;
156             t=(LL)Min(lcp(la,a),lb-la,b-a);
157             ans2+=(LL)b-a-t+w[t];
158         //    printf("  %I64d %d %d %d\n",t,lcp(la,a),lb-la,b-a);
159             la=a;lb=b;
160         }
161 
162         printf("%I64d %I64d\n",ans1,ans2);
163 
164     }
165     return 0;
166 }

 

posted @ 2013-08-20 21:11  zhsl  阅读(340)  评论(0编辑  收藏  举报