Time Limit: 1000MS | Memory Limit: 65536K |
---|
RJ Freight, a Japanese railroad company for freight operations has recently constructed exchange lines at Hazawa, Yokohama. The layout of the lines is shown in Figure 1.node
Figure 1: Layout of the exchange linesios
A freight train consists of 2 to 72 freight cars. There are 26 types of freight cars, which are denoted by 26 lowercase letters from 「a」 to 「z」. The cars of the same type are indistinguishable from each other, and each car’s direction doesn’t matter either. Thus, a string of lowercase letters of length 2 to 72 is sufficient to completely express the configuration of a train.express
Upon arrival at the exchange lines, a train is divided into two sub-trains at an arbitrary position (prior to entering the storage lines). Each of the sub-trains may have its direction reversed (using the reversal line). Finally, the two sub-trains are connected in either order to form the final configuration. Note that the reversal operation is optional for each of the sub-trains.markdown
For example, if the arrival configuration is 「abcd」, the train is split into two sub-trains of either 3:1, 2:2 or 1:3 cars. For each of the splitting, possible final configurations are as follows (「+」 indicates final concatenation position):app
[3:1]
abc+d cba+d d+abc d+cba
[2:2]
ab+cd ab+dc ba+cd ba+dc cd+ab cd+ba dc+ab dc+ba
[1:3]
a+bcd a+dcb bcd+a dcb+aide
Excluding duplicates, 12 distinct configurations are possible.ui
Given an arrival configuration, answer the number of distinct configurations which can be constructed using the exchange lines described above.spa
The entire input looks like the following.code
the number of datasets = m 1st dataset 2nd dataset ... m-th dataset
Each dataset represents an arriving train, and is a string of 2 to 72 lowercase letters in an input line.orm
For each dataset, output the number of possible train configurations in a line. No other characters should appear in the output.
4
aa
abba
abcd
abcde
1
6
12
18
Japan 2006 Domestic
思路:簡單的模擬,不過不能用map來標記字符串,會超時,因此寫一個哈希鄰接表
#include <cstdio>
#include <cstring>
#include <cstdlib>
#include <cmath>
#include <map>
#include <string>
#include <iostream>
#include <algorithm>
using namespace std;
const int Max = 99991;
typedef struct node
{
char str[80];
node *next;
node()
{
next = 0;
}
}Point;
Point *Head[Max];
int ans;
bool Hash(char *s) //哈希處理衝突
{
int len = strlen(s);
int num = 0 ;
for(int i=0;i<len;i++)
{
num = num+s[i]*(i+1);
num%=Max;
}
if(Head[num]==NULL)
{
Point *p = new Point;
strcpy(p->str,s);
Head[num]=p;
return true;
}
else
{
Point *p = Head[num];
while(p)
{
if(strcmp(p->str,s)==0)
{
return false;
}
p=p->next;
}
p=new Point;
strcpy(p->str,s);
p->next = Head[num];
Head[num] = p;
}
return true;
}
void Reverse(char *s,int len)//字符串翻轉
{
for(int i = 0 ;i<len/2;i++)
{
swap(s[i],s[len-1-i]);
}
}
void Strcat(char *s1,char *s2,char *s)
{
int i=0,j;
for(j=0;s1[j]!='\0';j++)
{
s[i++]=s1[j];
}
for(j=0;s2[j]!='\0';j++)
{
s[i++]=s2[j];
}
s[i]='\0';
}
void Strstr(char *s,char *s1,char *s2,int mid,int len)//字符串合併
{
for(int i=0;i<mid;i++)
{
s1[i]=s[i];
}
s1[mid]='\0';
for(int i=mid,j=0;i<len;j++,i++)
{
s2[j]=s[i];
}
s2[len-mid]='\0';
}
void Add(char *s1,char *s2,char *s)//判斷字符
{
Strcat(s1,s2,s);
if(Hash(s))
{
ans++;
}
Strcat(s2,s1,s);
if(Hash(s))
{
ans++;
}
}
int main()
{
int T;
scanf("%d",&T);
char s1[80],s2[80],s[80],str[80];
while(T--)
{
scanf("%s",str);
memset(Head,0,sizeof(Head));
ans=0;
int len=strlen(str);
for(int i=1;i<=len-1;i++)
{
Strstr(str,s1,s2,i,len);
Add(s1,s2,s);
Reverse(s1,i);
Add(s1,s2,s);
Reverse(s2,len-i);
Add(s1,s2,s);
Reverse(s1,i);
Add(s1,s2,s);
}
printf("%d\n",ans);
}
return 0;
}