FARIDA - Princess Farida

Once upon time there was a cute princess called Farida living in a castle with her father, mother and uncle. On the way to the castle there lived many monsters. Each one of them had some gold coins. Although they are monsters they will not hurt. Instead they will give you the gold coins, but if and only if you didn't take any coins from the monster directly before the current one. To marry princess Farida you have to pass all the monsters and collect as many coins as possible. Given the number of gold coins each monster has, calculate the maximum number of coins you can collect on your way to the castle.

Input

The first line of input contains the number of test cases. Each test case starts with a number N, the number of monsters, 0 <= N <= 10^4. The next line will have N numbers, number of coins each monster has, 0 <= The number of coins with each monster <= 10^9. Monsters described in the order they are encountered on the way to the castle.

Output

For each test case print “Case C: X” without quotes. C is the case number, starting with 1. X is the maximum number of coins you can collect.

Example

Input:
2
5
1 2 3 4 5
1
10

Output:
Case 1: 9
Case 2: 10

Added by:hossamyosef
Date:2013-05-13
Time limit:1.237s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64
Resource:FCIS/ASU Local Contest 2013

hide comments
2016-06-03 22:08:40
my first dp ...... must for beginers ... memoization learnt :-) AC :-)
2016-05-29 14:18:58
Use unsigned long long for storing results
2016-05-22 13:38:27 lavish goel
Due to below test case, I got more than 10 WA:(
2
0

5
1 2 3 4 5
2016-05-11 22:00:29
WA for printing "case" instead of "Case".

Last edit: 2016-05-11 22:00:49
2016-04-15 22:55:48
Use long long for the sum only ..
2016-04-15 12:19:05 geekyadity
Dont forget to write "Case <number> : ". Cost me a WA
2016-03-20 07:50:08
Can't understand why I am getting WA <snip>

Last edit: 2023-02-04 14:40:01
2016-03-16 16:04:23
Good problem for dp starters, watch out for N = 0!
2016-02-17 20:30:10
two wrong answers , just of very silly mistakes.
Anyway another easy dp problem.
2016-02-10 11:50:36 Devashish Mathur
Eeeh.. such a stupid mistake.. took me many WA's
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