I see, that makes sense since that number does grow pretty fast. Well, I'm
not sure you still have questions, but if you're still struggling, ping
back after some trying.

You should already have enough information on what to look for to solve the
first part.

Carlos Guía


On Thu, Mar 28, 2013 at 10:19 AM, mandeep <[email protected]> wrote:

> yeah you are right...i used module because after finding this you will
> also have to find no of ways to choose a captain from a particular
> path...if u have {1,2} {3,4} {5} then no of ways will be
> {1,3,5},{1,4,5}{2,3,5},{2,4,5} that is 4...that why i have used module
> above...
>
>
> On 28 March 2013 18:23, Carlos Guia <[email protected]> wrote:
>
>> Could paste a link top the problem? I see your code is using modulo
>> 1000000007 arithmetic, I don't expect a connected components problem top
>> have that requirement as the graph would have to be huge for it to make
>> sense.
>>
>> Reading the original problem might show what actually needs to be done is
>> anther thing.
>>
>> Carlos Guia
>> On Mar 28, 2013 9:45 AM, "Carlos Guia" <[email protected]>
>> wrote:
>>
>>> You can DFS or BFS, they run linear time with respect the graph size.
>>> There are faster ways, the terms Joseph used(combine sets) strongly
>>> indicates he's hinting on using disjoint-sets (aka. union-find).
>>>
>>> Search for: number of connected components
>>>
>>> Carlos Guia
>>> On Mar 28, 2013 9:09 AM, "mandeep" <[email protected]> wrote:
>>>
>>>> but DFS will be used to implement this problem????
>>>>
>>>>
>>>> On 28 March 2013 17:27, Joseph DeVincentis <[email protected]> wrote:
>>>>
>>>>> Start with {1},{2},{3},{4},{5},{6},{7},{8},{9},{10}
>>>>> When you see 1 2, combine those sets: {1,
>>>>> 2},{3},{4},{5},{6},{7},{8},{9},{10}
>>>>> Likewise for 3 4 and 6 7: {1, 2},{3, 4},{5},{6, 7},{8},{9},{10}
>>>>> When you get 1 4 you combine the two sets containing them: {1, 2, 3,
>>>>> 4},{5},{6, 7},{8},{9},{10}
>>>>>
>>>>>
>>>>>
>>>>> On Thu, Mar 28, 2013 at 7:51 AM, mandeep <[email protected]> wrote:
>>>>>
>>>>>> Ok..well i forgot to add something here...
>>>>>> if input is you have 10 elements and those pair who will share the
>>>>>> same path is
>>>>>> 1 2,3 4,6 7,1 4
>>>>>> then set will be {1,2,3,4},{5},{6,7},{8},{9},{10} that is output
>>>>>> should be 6..
>>>>>> now tell me how to implement this problem...
>>>>>> thanks a lot...
>>>>>>
>>>>>>
>>>>>>
>>>>>> On 28 March 2013 03:14, Joseph DeVincentis <[email protected]> wrote:
>>>>>>
>>>>>>> No DFS is needed for the problem you pose here. It can be solved in
>>>>>>> a single pass through the input.
>>>>>>>  On Mar 27, 2013 5:16 PM, "mandeep khatkar" <[email protected]>
>>>>>>> wrote:
>>>>>>>
>>>>>>>> Problem:-
>>>>>>>> Suppose that you are given no. 1 2,2 3,4 5 so here 1,2,3 will share
>>>>>>>> same path because of transitive relation between them and 4,5 will 
>>>>>>>> share
>>>>>>>> other route....and even if u are given no. like 1 2,3 4,1 4 then in 
>>>>>>>> this
>>>>>>>> case 1,2,3,4 will share same path...so you will have to output total 
>>>>>>>> no of
>>>>>>>> path....i know it includes DFS.but still i am getting some error in
>>>>>>>> output...here is my code...
>>>>>>>> Input:-
>>>>>>>> 1 2
>>>>>>>> 3 4
>>>>>>>> 1 4
>>>>>>>> 6 7
>>>>>>>> Ouput:-2 ({1,2,3,4},{6,7})
>>>>>>>>
>>>>>>>> /*
>>>>>>>>  * To change this template, choose Tools | Templates
>>>>>>>>  * and open the template in the editor.
>>>>>>>>  */
>>>>>>>> package chef;
>>>>>>>> import java.io.BufferedReader;
>>>>>>>> import java.io.IOException;
>>>>>>>> import java.io.InputStreamReader;
>>>>>>>> import java.math.BigInteger;
>>>>>>>> import java.util.StringTokenizer;
>>>>>>>> /**
>>>>>>>>  *
>>>>>>>>  * @author Pardeep
>>>>>>>>  */
>>>>>>>> public class pathshare {
>>>>>>>>
>>>>>>>>     public static void main(String a[]) throws IOException
>>>>>>>>     {
>>>>>>>>     BufferedReader br=new BufferedReader(new
>>>>>>>> InputStreamReader(System.in));
>>>>>>>>     int t=Integer.parseInt(br.readLine());
>>>>>>>>     for(int tes=0;tes<t;tes++){
>>>>>>>>     StringTokenizer st=new StringTokenizer(br.readLine());
>>>>>>>>     int n=Integer.parseInt(st.nextToken());
>>>>>>>>     //String ar[]=new String[n+1];
>>>>>>>>     int pre[]=new int[n+1];
>>>>>>>>     long val[]=new long[n+1];
>>>>>>>>     int sto[]=new int[n+1];
>>>>>>>>     //int relst[]=new int[n+1];
>>>>>>>>     boolean setflag=false;
>>>>>>>>     boolean visit[]=new boolean[n+1];
>>>>>>>>     for(int i=1;i<=n;i++)
>>>>>>>>     {
>>>>>>>>         //ar[i]=String.valueOf(i);
>>>>>>>>         pre[i]=i;
>>>>>>>>         visit[i]=false;
>>>>>>>>         val[i]=1;
>>>>>>>>     }
>>>>>>>>     int rel=Integer.parseInt(st.nextToken());
>>>>>>>>    // int stack[]=new
>>>>>>>> int[1000000];
>>>>>>>>     int len=0;
>>>>>>>>
>>>>>>>>     while(rel>=1){
>>>>>>>>         setflag=true;
>>>>>>>>         st=new StringTokenizer(br.readLine());
>>>>>>>>         int e1=Integer.parseInt(st.nextToken());
>>>>>>>>         //stack[len++]=e1;
>>>>>>>>         int e2=Integer.parseInt(st.nextToken());
>>>>>>>>         if(!visit[e2]||!visit[e1])
>>>>>>>>         {
>>>>>>>>             int ch=pre[e2];int ch1=pre[e1];
>>>>>>>>             if(pre[ch]!=pre[e2]&&visit[e2]){
>>>>>>>>                 pre[e2]=pre[ch];
>>>>>>>>                 ch=pre[e2];
>>>>>>>>             }
>>>>>>>>             if(pre[ch1]!=pre[e1]&&visit[e1]){
>>>>>>>>                // System.out.println("upr");
>>>>>>>>                 pre[e1]=pre[ch1];
>>>>>>>>                 ch1=pre[e1];
>>>>>>>>             }
>>>>>>>>             //System.out.println("pr.."+pre[e1]+" "+pre[ch1]);
>>>>>>>>             if(!visit[e1]&&visit[e2]){
>>>>>>>>                 pre[e1]=pre[e2];
>>>>>>>>                 val[pre[e1]]+=1;
>>>>>>>>                 visit[e1]=true;
>>>>>>>>             }
>>>>>>>>             else if(visit[e1]&&!visit[e2]){
>>>>>>>>
>>>>>>>> pre[e2]=pre[e1];//System.out.println("checking....");                
>>>>>>>> //1
>>>>>>>> 2,3 4,1 4
>>>>>>>>             val[pre[e2]]+=1;visit[e2]=true;
>>>>>>>>             }
>>>>>>>>             else if(!visit[e1]&&!visit[e2]){
>>>>>>>>                 pre[e2]=pre[e1];
>>>>>>>>                 val[pre[e2]]+=1;
>>>>>>>>                 visit[e2]=visit[e1]=true;
>>>>>>>>             }
>>>>>>>>         //visit[e2]=visit[e1]=true;
>>>>>>>>         //System.out.println("ar: "+val[pre[e1]]+" "+pre[e1]);
>>>>>>>>         //}
>>>>>>>>     }
>>>>>>>>         else if((visit[e2]&&visit[e1])&&pre[e2]!=pre[e1]){
>>>>>>>>             val[pre[e1]]+=val[pre[e2]];
>>>>>>>>            int ch=pre[e2];val[pre[e2]]=1;
>>>>>>>>            while(ch!=pre[e1]){
>>>>>>>>                pre[ch]=pre[e1];
>>>>>>>>                ch=pre[ch];//System.out.println("lwr");
>>>>>>>>            }
>>>>>>>>            pre[e2]=pre[e1];
>>>>>>>>           //  System.out.println("visited.. "+val[pre[e1]]+"
>>>>>>>> "+pre[e2]);
>>>>>>>>         }
>>>>>>>>     rel--;
>>>>>>>>     }
>>>>>>>>     BigInteger vallen= BigInteger.valueOf(1);
>>>>>>>>     len=0;long mod=1000000007;
>>>>>>>>     long valrel=0;boolean flag=false;long vf=0;boolean zero=false;
>>>>>>>>     //for(int i=1;i<=n;i++) System.out.println(val[i]+" "+visit[i]);
>>>>>>>>     for(int i=1;i<=n;i++){
>>>>>>>>
>>>>>>>>             if(val[i]==1&&!visit[i]){
>>>>>>>>
>>>>>>>>             //System.out.println("computing.... 1");
>>>>>>>>                valrel++;zero=true;
>>>>>>>>             }
>>>>>>>>             else if(val[i]>1&&visit[i]&&vf!=0){
>>>>>>>>             //System.out.println("computing..O");
>>>>>>>>
>>>>>>>> vallen=vallen.multiply(BigInteger.valueOf(val[i])).mod(BigInteger.valueOf(mod));//System.out.println("m"+vallen);
>>>>>>>>               //System.out.println("l.."+vallen);
>>>>>>>>                 valrel++;//len++;
>>>>>>>>                 flag=true;zero=true;
>>>>>>>>             }
>>>>>>>>             else if(val[i]>1&&visit[i]&&vf==0){
>>>>>>>>                 vf=val[i];valrel++;flag=true;
>>>>>>>>             }
>>>>>>>>
>>>>>>>>     }
>>>>>>>>     //if(!flag){ vallen=BigInteger.valueOf(1);vf=1;}
>>>>>>>>     //if(!zero){vallen=BigInteger.valueOf(vf);}
>>>>>>>>    // else
>>>>>>>> {vallen=vallen.multiply(BigInteger.valueOf(vf)).mod(BigInteger.valueOf(mod));}
>>>>>>>>
>>>>>>>> //if(rel==0&&setflag==false){vf=0;vallen=vallen.multiply(BigInteger.ZERO);}
>>>>>>>>     //System.out.println(bg);
>>>>>>>>     System.out.println(valrel);
>>>>>>>>     //System.out.println((valrel%mod)+" "+(vallen%mod));
>>>>>>>>     }}
>>>>>>>> }
>>>>>>>>
>>>>>>>>
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