Prove that the minimum number of breaks to divide the chocolate bar into n pieces is n - 1. Step 1. Was Galileo expecting to see so many stars? Why does Jesus turn to the Father to forgive in Luke 23:34? It was later relaunched as the Snickers Almond barbut I've never heard of it. Input will always be a non-negative integer.". Two players take turns breaking a bar. Test Results: If a bar has n pieces, break it into pieces of size a and b. TestCases Would the median household income in the USA be $140K and mean net worth $800K if wealth were evenly distributed. Best Dark: Scharffen Berger Bittersweet Fine Artisan Dark Chocolate at Amazon. Find a simple path in given tree with minimum number of edges. Statement (1) Currently, the machine produces 1,200 chocolate bars per hour. Each square is of size 1x1 and unbreakable. Since you can not cut multiple pieces at once, for any number of pieces m you want where m is in the set (1..n), you will always need m-1 cuts. For example if you are given a chocolate bar of size 2 x 1 you can split it to single squares in just one break, but for size 3 x 1 you must do two breaks. Max rate = 2x. A chocolate bar with $n * m$ pieces must be broken into $nm$ $1*1$ pieces to share with $n * m$ people. The program should then output . It seems to me that you're looking for numbers that are evenly dividable by all numbers between 1 and n inclusive. Suppose there is an rectangle. Note: A chocolate piece can be cut vertically or horizontally (perpendicular to . Many Git commands accept both tag and branch names, so creating this branch may cause unexpected behavior. 3. The total number of breaks cannot be more than n (this is to discourage inefficient solutions such as trying to break the whole bar apart into small pieces and dividing the small pieces) in a rectangular pattern. In assembling a jigsaw puzzle, let us call the fitting together of two pieces a "move", independently of whether the pieces consist of single pieces or of blocks of pieces already assembled. Jump to Review. A chocolate bar with $n * m$ pieces must be broken into $nm$ $1*1 . I'd say $n-1$ break lines, or do you also include virtual break lines at the beginning and end of the bar? Any one privy to the secret would know what is preferable: to start the game or to be a second player - depending as whether the total number of squares is even or odd. 1. You signed in with another tab or window. The chocolate bar game. Let start counting how many pieces we have after a number of breaks. Other simple games may be thought up to explain and reinforce the notion of parity, Has 90% of ice around Antarctica disappeared in less than a decade? rev2023.3.1.43269. However, in the real world (if it were a chocolate bar), you would first break it in half and then break each half again, separately. A chocolate bar measures 40 mm wide, 80 mm long, and 5 and 1 over 2 mm high. For some reason, the output is constantly 0 no matter what sides of the chocolate bar I provide. By the induction assumption, dissecting the $a$-rectangle into unit squares will use $a-1$ breaks, and the $b$-rectangle will use $b-1$ breaks, for a total of $1+(a-1)+(b-1)=n-1$. There are M students, the task is to distribute chocolate packets among M students such that : 1. Assume that for numbers 1 m < N we have already shown that it takes exactly m - 1 breaks to split a bar consisting of m squares. Your example for n = 4 is the LCM(4,3,2,1) which is 12. Unfortunately, no matter how you do it, you will always use exactly $nm-1$ breaks. Is there a way to only permit open-source mods for my video game to stop plagiarism or at least enforce proper attribution? Learn more about Stack Overflow the company, and our products. Design an algorithm that solves the problem with the minimum number of bar breaks. You can break a bar only in a straight line, and only one bar can be broken at a time. Assume you have a chocolate bar consisting, as usual, of a number of squares arranged in a rectangular pattern. The first player wins if, with all signs inserted and computations carried out, the result is odd. Has the term "coup" been used for changes in the legal system made by the parliament? We can break one piece of chocolate horizontally or vertically, but cannot break two pieces together! Does With(NoLock) help with query performance? Mocking a partial (exception throwing) function. Could very old employee stock options still be accessible and viable? For example, there are quite edifying games based on the principle explained above (with every move a number related to the game is increased by 1.) Pressing Cocoa Butter. [Math] Another proof by strong induction problem, [Math] Determining the number of levels in a binary tree via algorithm. To subscribe to this RSS feed, copy and paste this URL into your RSS reader. Clearly, the Mars Bar didn't make quite the comeback that Mars, Inc. intended. darn, I was about to post this answer something along the lines of a rectangular chocolate of size 1x(LCM(factors(n-1)), @Welbog Maximum breaks is n; not n -1. Imagine starting with a single pile and then making a few moves "that do not count."). (C. W. Trigg, Mathematical Quickies, Dover, 1985, #13.). Each student gets exactly one packet. your rules are too restrictive, in order to break anything up into n parts, you will need a minimum of n-1 breaks, but since breaks have to be along one edge and cannot divine a small piece into two also you cannot do a compound break (in your clarifications section), what you ask is impossible. @yx The problem entails breaking the bar with a maximum of n breaks. Implement a function that will return minimum number of breaks needed. 2. Is there a way to only permit open-source mods for my video game to stop plagiarism or at least enforce proper attribution? Design an algorithm that solves the problem with the minimum number of bar breaks. Mad Scientist. Connect and share knowledge within a single location that is structured and easy to search. along the lines between the squares) with a minimum number of breaks. The purpose of the simulation below is to help you . (Answer), 75 teams took part in a competition organized according to the olympic rules: teams met 1-on-1 with the defeated team getting dropped out of the competition. That's called the least common multiple of 1, , n. A square containing the least common multiple of 1, , n squares would by definition be evenly dividable into pieces of size 1, , n. You're looking for a maximum of n splits, which adds additional complexity to the problem which may or may not be possible. Algorithm to divide a chocolate bar in equal parts, The open-source game engine youve been waiting for: Godot (Ep. Decrease and Conquer Divide and Conquer Transform and Conquer Show transcribed image text Given an n*m . How many will it take? Chocolate.java. How can my script determine the largest number that Bash arithmetic can handle? Building on the previous solution, I think you were looking intuitively for the following algorithm: The algorithms for this should be trivial, (e.g. No matter. Design an algorithm that solves the problem with the minimum number of bar breaks. CodeWars challenges again. start with p = floor(sqrt(A)) and count down until mod(A,p) == 0). When there is no pieces to break, each piece is a small square. How many will it take? for the rectangle we can chose all depends if m>n or m 1 squares. - GitHub - pindio58/Breaking-chocolate-problem: Your task is to split the chocolate bar of given dimension n x m into small squares. Instantly share code, notes, and snippets. What happened to Aham and its derivatives in Marathi. Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. The reason you want sqrt is to limit the amount of numbers you check. Podcast 326: What does being a nerd even mean these days? minimum number of breaks chocolate bar Home; Cameras; Sports; Accessories; Contact Us Jump to Review. We are to assume only one break in the bar, right? Would the reflected sun's radiation melt ice in LEO? You can try Imhoff Park in Kommetjie too, they have a number of long term and permanent residents but your bus might be a challenge wrt space. Your task is to split the bar into small squares (always breaking So the solution needs to only output p and q and not where to break them? It's a great way to learn of odd and even numbers. If you're 150 pounds, you should eat at least 54 grams of protein daily. Flats. Your task is to split the bar into small squares (always breaking along the lines between the squares) with a minimum number of breaks. As yx pointed out, n - 1 is the minimum number of breaks required to break the bar into n pieces. This is a list of chocolate bar brands, in alphabetical order. Therefore, c(2) = 1 For n=2, we need 1 break. At the beginning (after 0 breaks) we had 1 piece. I am trying to design an algorithm that solves the following with the minimum number of bar breaks. Implement a function that will return minimum number of breaks needed. 3 years ago. If nothing happens, download GitHub Desktop and try again. Implement a function that will return minimum number of breaks needed. Unfortunately, no matter how you do it, you will always use exactly $nm-1$ breaks. Inquisitors Kit, why does it have a spell component pouch? Can I ask to "audit"/"shadow" a position, if I'm not selected? HINT: An $m\times n$ bar has $m+1$ division lines in one direction, say horizontally, and $n+1$ in the other. @Pieter21: You have to include the edges of the bar in order to account for all possible rectangles. Every break increases the number of pieces by one! The cost of this cut will be 3 . to use Codespaces. For example if you are given a chocolate bar of size 2 x 1 you can split it to . Why does mean "I can't wait any longer"? Design an algorithm that solves the problem with the minimum number of bar breaks. Is this a bug? Now instead of Breaking Chocolate Bars. Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. 0.25x = 300. cutting cost for each edge will be given for the board. I am trying to design an algorithm that solves the following with the minimum number of bar breaks. A move consists in selecting a pile and splitting it into two. Please try There should be a clean snap when you break into the bar - this can be more tricky with certain ingredients which may make the chocolate lose the snap (e.g. All breaks have to be made completely along one axis3. 19. Starting from 1 piece, we need mn - 1 steps to get to mn pieces. The algorithm would try every possible break of the whole chocolate bar. LCM(5,4,3,2,1) is 60. How to visualize this statement regarding Conjugate Symmetry. 20. How does a fan in a turbofan engine suck air in? (Answer), (C. W. Trigg, Mathematical Quickies, Dover, 1985, #29.). Then decrement b checking it is greater than 1 to get the number of "vertical" breaks. It takes 74 meets to seed 1 team out of 75. Every game reduces the number of remaining teams by one. The total number of breaks cannot be more than n (this is to discourage inefficient solutions such as trying to break the whole bar apart into small pieces and dividing the small pieces)4. p or q cannot be equal to 1. yx pointed out in one of the answers that the problem is easily solvable if one side has 1 bar. Assume you have a chocolate bar consisting, as usual, of a number of squares arranged Chocolate Bar Algorithm - Minimum Number of breaks, We've added a "Necessary cookies only" option to the cookie consent popup. One chocolate will be given to person at position i if both the adjacent values are equal to a[i] i.e, a[i-1] == a[i] == a[i+1] For a flat subarray of length k, the chocolate distribution will be [1, 1, ,1]. What is the meaning of "M. M." in this tempo mark? The bar must be broken only in a straight line, and once broken, only one piece at a time can be further broken. Wish I could mark it as the accepted answer but it wouldn't be fair to Welbog =) What's the mathematical significance of the sqrt though? |Eye opener| For example, given the above bar of chocolate, the first player has eight possible moves: she could break it . Each cut creates one more piece, you start with one piece. Implement a function that will return a minimum number of breaks needed. For example, if you are given a chocolate bar of size 2 x 1 you can split it to single squares in just one break, but for size 3 x 1 you must do two breaks. How did Dominion legally obtain text messages from Fox News hosts? By breaking an existing piece horizontally or vertically, you merely increase the total number of pieces by one. This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. Connect and share knowledge within a single location that is structured and easy to search. The breaking used $1$ break. It only takes a minute to sign up. This commit does not belong to any branch on this repository, and may belong to a fork outside of the repository. 542), How Intuit democratizes AI development across teams through reusability, We've added a "Necessary cookies only" option to the cookie consent popup. I am trying to design an algorithm that solves the following with the minimum number of bar breaks. 4. Will's Wrapping Company is making a wrapper to cover the chocolate bar. Thinking of a tree trunk as a big log, it took 75 - 25 = 50 cuts to get 75 logs out of 25. Every cut increased the number of logs by 1. |Contents| Infinite Chocolate Bar Trick. Are there conventions to indicate a new item in a list? For example: If you have a chocolate bar of size 3x4, then you can cut horizontally and get two bars of the chocolate of size 1x4 and 2x4. There are n people in the room. It generally takes (n - 1) snaps to totally split a chocolate bar up: for example, 3 for a four-piece Kit-Kat and 11 for a twelve-piece Hershey's bar.Let c(n) indicate the number of snaps required to break a rectangular bar with n parts into n pieces. I am trying to design an algorithm that solves the following with the minimum number of bar breaks. {{SelectedStore.Store.LocalizedDisplayName}} {{SelectedStore.Store.Address.Line1}} {{SelectedStore.Store.Address.Line2}} {{SelectedStore.Store.Address.City . [We must respect the structure of the chocolate bar, that is break only along horizontal or vertical lines. Sorry - forgot to add that restriction. Hence proved. I don't think you need to do compound breaks to achieve the restriction - I have a solution for up to n = 8 (done by hand of course). We want to break it into the 48 bits. Jump to Review. You can break a bar only in a straight line, and only one bar can be broken at a time. 4. You may want to test your skills against your computer's, Circle through the Incenter And Antiparallels, Simultaneous Diameters in Concurrent Circles, An Inequality for the Cevians through Spieker Point via Brocard Angle, Mickey Might Be a Red Herring in the Mickey Mouse Theorem, A Cyclic Inequality from the 6th IMO, 1964, Three Complex Numbers Satisfy Fermat's Identity For Prime Powers. To subscribe to this RSS feed, copy and paste this URL into your RSS reader. What is the best algorithm for overriding GetHashCode? Design an algorithm that solves the problem with the minimum number of bar breaks. Here are a few examples. In short we need to choose such a sequence of cutting such that cost is minimized. Each square is of size 1x1 and unbreakable. @roy100: See my latest update. You have a rectangular chocolate bar that consists of width x height square tiles. Test Failed, 0 was not equal to 27 Breaking Chocolate Bars. @BrianM.Scott not sure in how many ways could you explain a bit more. RV coach and starter batteries connect negative to chassis; how does energy from either batteries' + terminal know which battery to flow back to? What are the exponential alternatives that are skipped in dynamic programming for longest increasing subsequence? With only one break line, you have $n-1$ + $m-1$ options. Yes - that's right. So there is no dependency if the values are equal. This is actually a very simply problem, something similar to the old puzzle: if you have 55 teams playing in a single-elimination tournament, obviously some of them have to get byes in the first round, so there won't be a perfect even bracket. site design / logo 2021 Stack Exchange Inc; user contributions licensed under cc by-sa. On a player's turn, she must break the chocolate bar along any one of the horizontal or vertical lines, and eat the smaller piece (eating the bigger . something with a high fat content). For example if you are given a chocolate bar of size 2 x 1 you can split it to single squares in just one break, but for size 3 x 1 you must do two breaks. Raw. After 1 break we got 2 pieces. Expert. This, however is not a good solution for real world situations - which was the intent of solving this problem :) ExampleFor n = 4, the optimal configuration is 4 x 3. Implement a function that will return minimum number of breaks needed. Align these segments together and together break it into small squares. LCM(6,5,4,3,2,1) is also 60. For the entertainment sake, let one opponent write the sequence and the other start the game. Cheers, that seems to answer my problem completely. Chocolate bar puzzle Given an nm chocolate bar, you need to break it into nm 11 pieces. PTIJ Should we be afraid of Artificial Intelligence? algorithmsasymptoticsdiscrete mathematics. Why was the nose gear of Concorde located so far aft? - OLE. What is the minimum number? |Algebra| 1. Use the correct net and determine how much paper will be needed to make the wrapper With only one break line, you have n 1 + m 1 options. To subscribe to this RSS feed, copy and paste this URL into your RSS reader. What to do about it? Breaking the chocolate bar can be represented by a binary tree. For example, given the above bar of chocolate, the first player has eight possible moves: she could break it along any one of the 5 vertical lines, or along any of the 3 horizontal lines. Try IE11 or Safari and declare the site https://www.cut-the-knot.org as trusted in the Java setup. 1. Each square is of size 1x1 and unbreakable. Browse other questions tagged, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site. For example if you are given a chocolate bar of size 2 x 1 you can split it to single squares in just one break . Your algorithm should look something like the following: The efficiency of this algorithm is O(n), because each iteration spends a constant time in each node, with each node being visited only once. If input data is invalid you should return 0 (as in no breaks are needed if we do not have any chocolate to split). [Math] Is the proof that, the number of full nodes plus one is equal to the number of leaves in a nonempty binary tree, correct. rev2023.3.1.43269. Input will always be a non-negative integer. Input: N = 8, M = 5 A = {3, 4, 1, 9, 56, 7, 9, 12} Output: 6 Explanation . The bar must be broken only in a straight line, and once broken, only one piece at a time can be further broken. Returning to the original problem of a chocolate bar, the number of moves needed to break it into separate squares is invariant with regard to the actual sequence of moves. A dozen would be much better, because then I might want to run some tests with my friends. public static int breakChocolate(int n, int m) {. Number of possible ways to distribute 15 chocolate bars among 10 children, Winning strategy in game of cutting rectangle. Completed in 1ms Assume you have a chocolate bar consisting, as usual, of a number of squares arranged in a rectangular pattern. Joined: 19 Sep, 2017. Consider the much simpler problem of cutting a 3x4 rectangle. 650. Why are there so many Dutch words that sound similar to Russian words? How do I apply a consistent wave pattern along a spiral curve in Geo-Nodes 3.3? With just one piece, it requires 0 breaks. Answers. Each square is of size 1x1 and unbreakable. We can break one piece of chocolate horizontally or vertically, but cannot break two pieces together! If the result is even, the second player wins. Minimum value will be assigned for optimal result. Chocolate bar puzzle Given an n m chocolate bar, you need to break it into nm 1 1 pieces. p != q != 1. Use Git or checkout with SVN using the web URL. Answer (1 of 5): I see two answer already, but they're both completely wrong. What to do with students requesting deadline extension due to the death of a relative (but without a doctor's note)? sign in So a bar of k+1 squares can be broken down to 2 rectangles with squares < k , which is already true. The basic fact explained above may appear in many different guises. PTIJ Should we be afraid of Artificial Intelligence? Applications of super-mathematics to non-super mathematics. By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. Bar brands, in alphabetical order mn - 1 text messages from Fox News hosts turbofan suck... The site https: //www.cut-the-knot.org as trusted in the Java setup machine produces 1,200 chocolate bars per.! Rectangle we can break a bar only in a rectangular pattern was equal. Can be broken into $ nm $ $ 1 * 1 the minimum number of breaks... 2 ) = 1 for n=2, we need 1 break be much,! Sure in how many ways could you explain a bit more had 1 piece, you have chocolate! The term `` coup '' been used for changes in the legal system made by the parliament script... This is a small square pindio58/Breaking-chocolate-problem: your task is to help you death of number! Bar Home ; Cameras ; Sports ; Accessories ; Contact Us Jump to Review this... For longest increasing subsequence with all signs inserted and computations carried out, n - 1 is minimum... My problem completely Exchange is a small square belong to a fork outside of the simulation below is distribute... 40 mm wide, 80 mm long, and our products for: (. The task is to limit the amount of numbers you check ) = 1 for n=2 we... Does mean `` I ca n't wait any longer '' protein daily problem, [ Math ] Determining the of... No matter what sides of the simulation below is to help you teams by one the player... When there is no dependency if the result is even, the is! Many different guises small square Currently, the result is even, the Mars bar didn & # x27 ve. Design an algorithm that solves the following with the minimum number of breaks needed 54 grams of daily. Checking it is greater than 1 to get the number of breaks.! Many different guises way to only permit open-source mods for my video game to stop plagiarism or least. Split the chocolate bar that consists of width x height square tiles would the sun! To break it into nm 1 1 pieces 40 mm wide, 80 mm,! It seems to me that you 're looking for largest number that arithmetic! Doctor 's note ) 1 break see two answer already, but can not break two pieces together my game... The lines between the squares ) with a minimum number of breaks to divide a chocolate piece can be into!, we need to break the bar in equal parts, the first player has eight moves... Ice in LEO 1 pieces Overflow the company, and only one can. For my video game to stop plagiarism or at least 54 grams of daily... And 1 over 2 mm high Mars, Inc. intended or vertically, but can not break two pieces!. Or checkout with SVN using the web URL NoLock ) help with query?! 1 is the minimum number of breaks needed static int breakChocolate ( int,... Together break it into small squares let there be a bar only in a rectangular chocolate can! What appears below chocolate bar pieces is n - 1 is the of... There a way to learn of odd and even numbers into two repository. Example if you & # x27 ; t make quite the comeback that Mars, Inc..... Air in a position, if I 'm not selected reason, second. Represented by a binary tree via algorithm a question and answer site for people studying Math at any level professionals! Eat at least enforce proper attribution nothing happens, download GitHub Desktop and try again trying to design an that. Rectangles with squares < k, which is already true '' shadow '' position... 1 team out of 75 if you are given a chocolate piece be. Problem completely how you do it, you start with one piece @ Pieter21: you have chocolate. Long, and only one bar can be broken at a time turbofan engine suck air in break line you... Account for all possible rectangles nothing happens, download GitHub Desktop and try again run! Edge will be given for the entertainment sake, let one opponent write the sequence and other. A, p ) == 0 ) seed 1 team out of 75 could... Forgive in Luke 23:34 between the squares ) with a single location that is structured and to! Connect and share knowledge within a single location that is structured and easy to search fork outside the... Answer you 're looking for return a minimum number of breaks many Dutch that! Turbofan engine suck air in perpendicular to non-negative integer. & quot ; sure... A maximum of n > 1 squares prove that the minimum number of breaks! Pieces to break the bar, right ; re 150 pounds, you need break. 74 meets to seed 1 team out of 75 ) which is true. Least enforce proper attribution increases the number of bar breaks 74 meets to seed 1 team out 75... Turn to the Father to forgive in Luke 23:34 list of chocolate horizontally or vertically, you will use. The algorithm would try every possible break of the chocolate bar puzzle given an n * m company and. Until mod ( a, p ) == 0 ), but can not minimum number of breaks chocolate bar... One axis3 counting how many ways could you explain a bit more ) Currently, the Mars bar didn #... Logo 2023 Stack Exchange is a small square rectangular pattern not sure in how many pieces we after... Every possible break of the repository contains bidirectional Unicode text that may interpreted. Fan in a rectangular pattern breaks needed in 1ms assume you have a rectangular chocolate bar, will. Answer site for people studying Math at any level and professionals in related fields in short we mn. Or vertically, but can not break two pieces together options still be and! '' breaks Luke 23:34 basic fact explained above may appear in many different guises script determine the number! Must respect the structure of the whole chocolate bar, you start with p = floor sqrt! The squares ) with a single location that is structured and easy to search question., if I 'm not selected sequence and the other start the.! Eight possible moves: she could break it bar into n pieces n! Of protein daily students such that: 1 given an n * m, it requires 0 breaks ) had. For changes in the Java setup an algorithm that solves the following with the minimum number bar! Rectangular pattern how many pieces we have after a number of bar breaks broken down to 2 rectangles with <... Of edges students, the machine produces 1,200 chocolate bars that sound similar to Russian words the (! Edges of the chocolate bar puzzle given an nm chocolate bar, you have a spell component pouch a. At a time move consists in selecting a pile and then making a wrapper to cover the chocolate brands! Bar measures 40 mm wide, 80 mm long, and only break! News hosts size 2 x 1 you can break one piece of chocolate horizontally or vertically but! Best answers are voted up and rise to the death of a relative ( but without a 's. New item in a binary tree via algorithm tree via algorithm at time... Start the game in Luke 23:34 purpose of the chocolate bar with a minimum number of breaks needed has possible! Be broken down to 2 rectangles with squares < k, which is already.... A, p ) == 0 ) Dark: Scharffen Berger Bittersweet Fine Artisan Dark chocolate at Amazon amount... Copy and paste this URL into your RSS reader have to be made completely along one minimum number of breaks chocolate bar grams., not the answer you 're looking for the lines between the squares ) with minimum. Problem completely of 5 ): I see two answer already, but can not break two pieces!... 'M not selected you check legal system made by the parliament not count. ``.! To search branch on this repository, and may belong to any branch this! The Snickers Almond barbut I & # x27 ; s Wrapping company is making a wrapper to cover chocolate! Output minimum number of breaks chocolate bar constantly 0 no matter how you do it, you need to break it nm! Vertically, but can not break two pieces together per hour one piece of chocolate bar consisting as. The comeback that Mars, Inc. intended up and rise to the top, not the answer you 're for! Cutting a 3x4 rectangle down until mod ( a, p ) == )! At the beginning ( after 0 breaks ) we had 1 piece, you start with p = (... Whole chocolate bar, that seems to answer my problem completely along lines! Among 10 children, Winning strategy in game of cutting a 3x4 rectangle Pieter21 you... Ve never heard of it broken at a time the second player wins if, all! Try again > 1 squares bar with $ n * m $ pieces must be broken at a time (... After 0 breaks ) we had 1 piece answer site for people studying Math any. Air in selecting a pile and then making a few moves `` that do not count. ``.. Game to stop plagiarism or at least enforce proper attribution ( int n, m! There a way to only permit open-source mods for my video game to stop plagiarism or least! Problem, [ Math ] Determining the number of breaks to divide the chocolate bar consisting, usual...