Question

00 piece jigsaw puzzle. the completed puzzle is 10x10. each piech connects to at least 2 other pieces. i plan to assemble by taking pieces out of box one by one. if i've already taken out 2 pieces that dont directly connect, what is the minimum number of additional pieces that i need to draw to in order to guarentee that the original 2 pieces connect?

242

likes
1209 views

Answer to a math question 00 piece jigsaw puzzle. the completed puzzle is 10x10. each piech connects to at least 2 other pieces. i plan to assemble by taking pieces out of box one by one. if i've already taken out 2 pieces that dont directly connect, what is the minimum number of additional pieces that i need to draw to in order to guarentee that the original 2 pieces connect?

Expert avatar
Neal
4.5
101 Answers
In a 10x10 jigsaw puzzle, each piece connects to at most 4 other pieces - top, bottom, left, and right. The corner pieces connect to 2 other pieces, the edge pieces connect to 3, and the rest connect to 4. If you have 2 pieces that don’t directly connect, the minimum number of additional pieces you need to guarantee a connection depends on their relative positions: If the two pieces are corner pieces from the same edge (top, bottom, left, or right), you need 1 additional piece to connect them. If the two pieces are corner pieces from different edges, you need 2 additional pieces to connect them. If one piece is a corner piece and the other is an edge piece on the same edge, you need 1 additional piece to connect them. If one piece is a corner piece and the other is an edge piece on a different edge, you need 2 additional pieces to connect them. If both pieces are edge pieces on the same edge, you need 1 additional piece to connect them. If both pieces are edge pieces on different edges, you need 2 additional pieces to connect them. If one or both pieces are inside pieces (not on an edge), you need 2 additional pieces to connect them. So, in the worst-case scenario, you need to draw 2 additional pieces to guarantee that the original 2 pieces connect. This would be the case if the two pieces are on different edges or if one or both are inside pieces. In all other cases, you would only need to draw 1 additional piece.

Frequently asked questions (FAQs)
Find the integral of ∫(cos^2(x) + sin^2(x)) dx over the interval [0, π/2].
+
Math question: What is the derivative of f(x) = 3x^2 + 4x - 5?
+
What is the average number of sales made by each salesperson in a company?
+
New questions in Mathematics
-6(3x-4)=-6
12-6x=4x+2
Revenue Maximization: A company sells products at a price of $50 per unit. The demand function is p = 100 - q, where p is the price and q is the quantity sold. How many units should they sell to maximize revenue?
(m²-121)
The graph of the equation x²= 4py is a parabola with focus F(_,_) and directrix y=_____ Therefore, the graph of x²=12y is a parabola with focus F(_,_) and a directrix y=_____
To make brine, José buys 1 kg of salt and pays 12 pesos. If he buys 4 kg, they charge him 48 pesos, but for 100 pesos they sell him 9 kg. What is the constant of proportionality?
Perpetual annuities are a series of payments whose duration has no end. Explain how can we calculate them, if they have no end?
The sum of two numbers is equal to 58 and the largest exceeds by at least 12. Find the two numbers
15/5+7-5
Emma is on a 50 m high bridge and sees two boats anchored below. From her position, boat A has a bearing of 230° and boat B has a bearing of 120°. Emma estimates the angles of depression to be about 38° for boat A and 35° for boat B. How far apart are the boats to the nearest meter?
Convert 5/9 to a decimal
-1%2F2x-4%3D18
Determine the Linear function whose graph passes through the points (6, -2) and has slope 3.
Translate to an equation and solve. Let x be the unknown number: What number is 52% of 81.
suppose a city with population 80,000 has been growing at a rate of 8% per year if this rate continues find the population of this city in 10 years
Pablo has a balance of $440,000 and 2/5 of the money is used to pay bills. How much money do you have left after paying the bills?
Total Users with an active Wise account = Total Active Users + Total Users who haven’t transacted Total Active Users = Total MCA Users + Total Send Users = Total New Users + Retained Users Total New Users = New Send Users + New MCA Users Total MCA Users = New MCA Users + Retained Users who transacted this month via MCA Total Send Users = New Send Users + Retained Users who transacted this month via Send Send CR = Total Send Users / Total Users with an active Wise account MCA CR = Total MCA Users / Total Users with an active Wise account New Send CR = New Send Users / New Profiles Created in Month New MCA CR = New MCA Users / New Profiles Created in Month We have recently witnessed a drop in MCA conversion, but send user conversion is stable, can you help explain why?
9n + 7(-8 + 4k) use k=2 and n=3
y’’ -4y’ +4y = (12x^2 -6x)e^2x Y(0)= 1 Y’(0)=0 Y(x)=c1y1+c2y2+yp
Paola went on vacation for 15 days if it rained 20% of the days. How many days did it rain?