FPOLICE  Fool the Police
Dhamaka Singh (a crook) has just robbed a bank and would like to get out of the country as soon as possible. But there is a slight problem, the police! On his way out of the country he has to pass through some police stations. Each police station has a certain risk (for Dhamaka Singh) associated with it. He wants to get to the airport within a certain time T or else he'll miss his flight. He also wants to take a path that minimizes the total risk associated with it. Help Dhamaka Singh get out of the country.
Input
The first line of the input contains an integer t, the number of test cases. t test cases follow.
The first line of each test case contains 2 integers N (3 <= N <= 100) and T (1 <= T <= 250), denoting the number of police stations and the total time he has to reach the airport, respectively.
Dhamaka Singh has to start from the first police station and reach the N^{th} one (the airport is just after the N^{th} police station). You can consider the time taken between the N^{th} police station and the airport to be negligible.
Next there are N lines with N numbers in each line, separated by single spaces. All numbers are separated by a single space. The j^{th} integer in the i^{th} line represents the time taken to reach the j^{th} police station from the i^{th} police station.
Next there are another N lines with N numbers in each line. All numbers are separated by a single space. The j^{th} integer in the i^{th} line represents the risk involved in travelling to the j^{th} police station from the i^{th} police station.
Output
For each test case output one line containing 2 integers separated by a single space.
The first integer denotes the minimum total risk to reach the airport. The second integer denotes the minimum time required to reach the airport at the minimum total risk.
If it is impossible to reach the airport within time T (inclusive), just print "1" (quotes for clarity).
Example
Input: 1 4 10 0 6 2 3 6 0 2 3 3 1 0 2 3 3 2 0 0 2 2 7 2 0 1 2 2 2 0 5 7 2 5 0 Output: 4 9
hide comments
sherlock11:
20180531 09:36:38
by dfs i think the "comment" tries to say about backtracking............instead solve it with dp...... 

babur:
20170901 16:39:17
SImple Dfs works... 

sultania23:
20170701 19:00:30
why bfs fails but dfs passes? Last edit: 20170701 19:00:41 

anurag44:
20170627 22:08:49
Simple DFS !! Got AC 

sas1905:
20170626 20:33:15
Same ques fishmonger.. 

da_201501181:
20170509 16:07:43
What a Knapsack...!! Must try..! 

prateek:
20170407 17:26:30
Similar to fishmoger problem.Be careful with "1" case. 

JP:
20170206 14:08:23
My 100th! :) 

aspro:
20160516 07:01:50
TLE with recursion(DFS)...solved with DP(knapsack)...


:.Mohib.::
20151108 09:20:09
Finally AC :) 
Added by:  Matthew Reeder 
Date:  20061029 
Time limit:  1.411s 
Source limit:  30000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: ERL JSRHINO NODEJS PERL6 VB.NET 
Resource:  AlKhawarizm 2006 