Q. We are given 100 pieces of a puzzle. If fixing two components together is counted as 1 move ( a component can be one piece or an already fixed set of pieces), how many moves do we need to fix the entire puzzle.

• 99 moves
  fixing each 10 components requires 9 moves,so it is 90 for 10 such components.
  fixing those 10 bigger components requires 9 more moves.so totally 99 moves.
• 11 years agoHelpfull: Yes(12) No(1)
• n-1 Moves required.
  As... if 2 pieces then 1 move required,
  if 5 pieces then 4 moves required,
  if 10 pieces then 9 moves required,
  so if 100 pieces then required moves are...
• 10 years agoHelpfull: Yes(6) No(1)
• 50...
  
  
  the exact answer is 18... but i dono..how
• 11 years agoHelpfull: Yes(5) No(3)
• Ans s 99 moves
  consider 10 piece requires 9 moves , there are totally 100 so 90 moves ,
  nw all piece r in 10,10,10,10,10,10,10,10,10,10,
  v need 9 moves to joint r finish d puzzle so totally 99
  
• 10 years agoHelpfull: Yes(4) No(1)
• 2 - 1 move
  2 - 1 move
  total 50 moves
  and then
  those 50 will be given 25 moves
  in 25 components , we have 12 and half move
  so total move = 87.5
• 11 years agoHelpfull: Yes(3) No(7)
• fixing 2 components together=1 move
  98 components are left ,to again fix one of these to the other two=1move
  97 comp left,so 97 more moves
  total=1+1+97=99
• 10 years agoHelpfull: Yes(2) No(3)
• Ans should be 99 because first, we combine 50 with other 50 and then divide them into two parts and continue this till we get 1 and add all moves together it will give 97 (97 is the highest power of 2 in range of 0-100) then we should add 2 in our answer because we have skipped some fractional values like 25 and 3.
  Thus 97 + 2 = 99 wil be the answer.
• 6 years agoHelpfull: Yes(1) No(0)
• Fixing 2 components is called 1 move, now i deduce fixing 3 components in same move does not count as 1 move , so here it is , join 3 single pieces by inducing a piece in between 2 , |[|]| , the one in [] is induced, joining 3 components in 1 move , hence move counted as 0 , we can make 33 components like then , using 0 moves, now in 9 by 9 area , we just same method of inducing , and 81 are connected using 0 moves , the last row and column are joined using same technique , 9*1 and 1*9 , using 0 moves , now the last 100th segment is used to connect this last row and column , using 0 moves , now this last row and column is deviced as a single component and is joined with the 9*9 component we previously made, as this one is joining 2 components in 1 move, technically we only using 1 move to solve it.. ONLY 1
• 8 years agoHelpfull: Yes(0) No(1)