Question 2
Below, the left diagram shows a chain that has two connected rings and the right diagram shows a chain that has seven connected rings.
Mr. Metal owns $10$ chains. Two of them are identical, each consisting of a single ring. The remaining eight chains have $2,3,5,8,13,21,34$ and $55$ connected rings, respectively, as shown below.
Mr. Metal wants to make two or more chains, all of the same length, with no loops or any opened ring in it. All rings must be used. What is the shortest amount of time, in minutes, to make them if it takes exactly $1$ minute to cut a ring (which disconnects it from other rings) and exactly $3$ minutes to connect rings by welding one open ring (after connecting it to zero or more other rings)?
Examples of Cutting Process A and B: Cut; takes exactly one minute. Examples of Connecting Process A and B: Connect; takes exactly three minutes.
(Please write down your answer on the back)
Mr. Metal owns $10$ chains. Two of them are identical, each consisting of a single ring. The remaining eight chains have $2,3,5,8,13,21,34$ and $55$ connected rings, respectively, as shown below.
Mr. Metal wants to make two or more chains, all of the same length, with no loops or any opened ring in it. All rings must be used. What is the shortest amount of time, in minutes, to make them if it takes exactly $1$ minute to cut a ring (which disconnects it from other rings) and exactly $3$ minutes to connect rings by welding one open ring (after connecting it to zero or more other rings)?
Examples of Cutting Process A and B: Cut; takes exactly one minute. Examples of Connecting Process A and B: Connect; takes exactly three minutes.
(Please write down your answer on the back)