KFSTB  Help the Commander in Chief
The Country of byteland is in a state of war with its neighboring nation bitland which is a small island. The king of byteland needs to send his soldiers across the sea to attack bitland. It is not easy for bytelandian soldiers to cross the sea between the two countries as there are soldiers of bitland who are constantly on patrol.
But, The commander of byteland through his secret sources has gathered some information about the camping spots in between, It is as follows. There are C camping spots in the sea between the two countries. There are B one way bridges, each bridge is between two camps. Bytelandian army can use these bridges without any danger of being attacked. The commander also knows that if the army leaves a camping spot along a bridge safely it is not possible to return back safely to the same camping spot.
The camping spot closest to the bytelandian shore is S and the camping spot closest to the bitlandian shore is T. The commander in chief of byteland wants to formulate a strategy for the army to safely move from the camping spot S to T. You have been assigned the task of finding the number of possible paths that a soldier could follow from camping spot S to T.
Input
The first line of input contains the number of test cases D. For each test case the first line contains C, B, S and T number of camping spots, number of one way bridges, camping spot close to byteland and camping spot close to bitland respectively. The next B lines contain description of bridges. Each bridge is described on a single line by two integers X and Y denoting the starting and ending point of a bridge.
Output
In each line print the number of possible paths modulo 1000000007
Sample Input
2
4 4 1 4
1 2
1 3
2 4
3 4
5 5 1 5
1 2
2 3
2 4
3 5
4 5
Sample Output
2
2
Constraints
1<= D <= 10
1<= C <= 10000
1<= B <= 10000
1 <= X,Y <= C
1 <= S,T <= C
hide comments
satyam_656:
20210401 14:02:14
Super Easy! dfs+dp 

saurabh_kl:
20210203 07:40:38
This problem can also be solved using level order traversal Last edit: 20210203 07:41:27 

kshubham02:
20210117 01:42:53
Problem statement is ambiguous :


xqfparaboy:
20200919 17:20:28
Take Modulo during dp operation


the_brogrammer:
20200819 06:02:05
remember to use take the modulus operator with 10^9+7. 

jrseinc:
20200818 19:06:43
IDK why everyone is saying that the statement is ambiguous. " if the army leaves a camping spot along a bridge safely it is not possible to return back safely to the same camping spot." this statement clearly shows that this is a DAG. 

harry_shit:
20200818 12:53:21
recommended :) 

sarthak_19:
20200705 17:21:40
Tropological Sort+Dp=AC 

fahad991:
20200608 05:48:21
Easy ..basic dp problem.


vidhan_1234:
20200601 17:16:48
Accepted in 3 go... 
Added by:  rizwan hudda 
Date:  20120904 
Time limit:  1s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: ASM64 
Resource:  Kodefest 2012 IITK  Own problem 