PRATA - Roti Prata

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IEEE is having its AGM next week and the president wants to serve cheese prata after the meeting. The subcommittee members are asked to go to food connection and get P(P<=1000) pratas packed for the function. The stall has L cooks(L<=50) and each cook has a rank R(1<=R<=8). A cook with a rank R can cook 1 prata in the first R minutes 1 more prata in the next 2R minutes, 1 more prata in 3R minutes and so on(he can only cook a complete prata) ( For example if a cook is ranked 2.. he will cook one prata in 2 minutes one more prata in the next 4 mins an one more in the next 6 minutes hence in total 12 minutes he cooks 3 pratas in 13 minutes also he can cook only 3 pratas as he does not have enough time for the 4th prata). The webmaster wants to know the minimum time to get the order done. Please write a program to help him out.

 

Input

The first line tells the number of test cases. Each test case consist of 2 lines. In the first line of the test case we have P the number of prata ordered. In the next line the first integer denotes the number of cooks L and L integers follow in the same line each denoting the rank of a cook.

Output

Print an integer which tells the number of minutes needed to get the order done.

 

Example

Input:

3
10
4 1 2 3 4
8
1 1
8
8 1 1 1 1 1 1 1 1
Output:
12
36
1

hide comments
gearman_0712: 2021-05-03 08:52:53

No need to use fast i/o. c++.

shubham_2974: 2021-04-24 14:38:27

AC in 2nd Go TC: L*log(P) using Binary Search
Reference Problems: Painter Partition Problem, Books Allocation Problem

nav_8178: 2021-03-19 09:49:41

Can anyone uderstand me case 8 1 1 and should be 10 because 1 -
> 1, 3, 6, 10
1-> 1,3,6,10
so total 8 parata

arafat_123: 2021-03-18 19:36:34

AC in one go!! Very good question of binary search.

arunjain9988: 2021-03-08 11:02:30

solved in p*log(m)*log(1e7)

sparsh_2301: 2021-02-11 19:08:03

Is the time complexity O(L*Log(p))??

Last edit: 2021-02-11 19:08:22
starky: 2021-01-15 09:14:50

use binary search on time space

shubho5das: 2021-01-15 08:34:02

Solved using Binary Search.
AC in one go :)

wille_25: 2021-01-14 07:38:15

AC in one go :P

so7085: 2020-12-28 23:02:51

AC in first go


Added by:Saransh Bansal
Date:2011-05-14
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64
Resource:Own problem- NTU IEEE codejam 2011