Re: [algogeeks] Re: Google puzzles
Arpit The formula that you have written is wrong. You would have approached it correctly but the formula written here is incorrect. m= n + (n**1/6* + (n-1)) + ((n**7/6* + (n-1))**1/6* + n-2) +.. If you add all the terms there should be 1/6 in these terms as the terms give the number of medals given on each day. If you use 7/6, you only need to solve for one term where n-6 would come. As the terms in the series when 7/6 is used give the number of medals remaining at (n-i)th day. Sukhmeet, You have to apply the formula n = k - [(n-1) + (1/7)(k- (n-1))] where k is taken to be the number of medals at the start of (n-1)th day. on (n-1)th day, n-1 medals are given. Then (k - (n-1)) medals are left. 1/7 of these are given away as well. So after (n-1) days the medals left are given by RHS of the equation which is equal to n - the medals left which are given on nth day. Solving this equation we get: k - (n-1) = 7/6*n Thus, medals given away on (n-1)th day = (n-1) + (1/7)*(7/6*n) = (n-1) + 1/6*n Similarly medals given away on (n-2)th day = (n-2) + (1/7)*(7/6*(sum of medals given on (n-1)th and nth days)) = (n-2) + (1/7)*(7/6*(n-1 + 7/6*n)) = (n-2) + (1/6)*(n-1 + 1/6*n)) For (n-i)th day, medals given away = (n-i) + (1/6)*(sum of medals given away from (n- (i-1))th to nth day) It goes on like this till we get the term for first day. SO total medals, m = n + [(n-1) + 1/6*n] + [(n-2) + (1/6)*(n-1 + 7/6*n))] +... Put 6 in this equation and we get the required answer m = 36 Simple formula m = n + [(n-1) + 1/6*first term]+ [(n-2) + (1/6)*(sum of 1st and 2nd term)]+ + [(n-i) + (1/6)*(sum of all terms till now)] + i goes upto n -- You received this message because you are subscribed to the Google Groups Algorithm Geeks group. To post to this group, send email to algogeeks@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en.
Re: [algogeeks] Re: Google puzzles
arpit can u a bit more explain how u came up with this formula ??? On Thu, Mar 17, 2011 at 11:11 PM, arpit.gupta arpitg1...@gmail.com wrote: ans is n=6, m=36; m= n + (n*7/6 + (n-1)) + ((n*7/6 + (n-1))*7/6 + n-2) +.. now n must be a multiple of 6. taking n=6, we get the answer m= 36 On Mar 16, 3:27 pm, may.I.answer may.i.answ...@gmail.com wrote: In a sports contest there were m medals awarded on n successive days (n 1). 1. On the first day 1 medal and 1/7 of the remaining m - 1 medals were awarded. 2. On the second day 2 medals and 1/7 of the now remaining medals was awarded; and so on. 3. On the nth and last day, the remaining n medals were awarded. How many days did the contest last, and how many medals were awarded altogether? -- You received this message because you are subscribed to the Google Groups Algorithm Geeks group. To post to this group, send email to algogeeks@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en. -- You received this message because you are subscribed to the Google Groups Algorithm Geeks group. To post to this group, send email to algogeeks@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en.
[algogeeks] Re: Google puzzles
Hi here is the basic approach as we know in a week atmost 7 days ..so start with hit and trial Total 36 medals were awarded and the contest was for 6 days. On day 1: Medals awarded = (1 + 35/7) = 6 : Remaining 30 medals On day 2: Medals awarded = (2 + 28/7) = 6 : Remaining 24 medals On day 3: Medals awarded = (3 + 21/7) = 6 : Remaining 18 medals On day 4: Medals awarded = (4 + 14/7) = 6 : Remaining 12 medals On day 5: Medals awarded = (5 +7/7) = 6 : Remaining 6 medals On day 6: Medals awarded 6 Clear and Simple Thanks Sahshank -- You received this message because you are subscribed to the Google Groups Algorithm Geeks group. To post to this group, send email to algogeeks@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en.
Re: [algogeeks] Re: Google puzzles
hey we can do like dis man using trial and error, so start with m = 15, 22, 29 etc. obviuosly we cant start with 8 as n must be greater than 1. I think u people got the reason for starting with 15(1+14 is divisible by 7), 22(1+21 is divisible by 7) etc. test for m = 15; Day 1:- medals = 1+14/7 = 3; Day 2:- medals = 2 + 10 which is not divisible by 7 test for m = 22; Day 1:- medals = 1+21/7=4; Day 2:- medals = 2+16 which is not divisible by 7 test for m = 29; Day 1:- medals = 1+28/7 = 5; Day 2:-medals = 2+22 which is not divisible by 7 test for m = 36 Day 1:- medals = 1+35/7=6; Day 2:- medals = 2+28/7=6; Day 3:- meadals = 3+21/7 = 6; Day 4:- medals = 4+ 14/7 = 6; Day 5:- medals = 5+7/7 = 6; Day 6:- medals = 6; So m = 36 and n = 6. Hope I am clear. On Fri, Mar 18, 2011 at 12:02 PM, bittu shashank7andr...@gmail.com wrote: Hi here is the basic approach as we know in a week atmost 7 days ..so start with hit and trial Total 36 medals were awarded and the contest was for 6 days. On day 1: Medals awarded = (1 + 35/7) = 6 : Remaining 30 medals On day 2: Medals awarded = (2 + 28/7) = 6 : Remaining 24 medals On day 3: Medals awarded = (3 + 21/7) = 6 : Remaining 18 medals On day 4: Medals awarded = (4 + 14/7) = 6 : Remaining 12 medals On day 5: Medals awarded = (5 +7/7) = 6 : Remaining 6 medals On day 6: Medals awarded 6 Clear and Simple Thanks Sahshank -- You received this message because you are subscribed to the Google Groups Algorithm Geeks group. To post to this group, send email to algogeeks@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en. -- You received this message because you are subscribed to the Google Groups Algorithm Geeks group. To post to this group, send email to algogeeks@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en.
