How many ways are there to fill four boxes with six objects?
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How many ways are there to fill four boxes with six objects?
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- You need to take a trip by car to another town that you have never visited before. Therefore, you are studying a map to determine the shortest route to your destination. Depending on which route you choose, there are five other towns (call them A, B, C, D, E) that you might pass through on the way. The map shows the mileage along each road that directly connects two towns without any intervening towns. These numbers are summarized in the following table, where a dash indicates that there is no road directly connecting these two towns without going through any other towns. Miles between Adjacent Towns Town A B C DE Destination Origin A 40 60 50 10 70 B 20 55 40 50 10 D 60 E 80 (a) Formulate this problem as a shortest-path problem by drawing a network where nodes represent towns, links represent roads, and numbers indicate the length of each link in miles. (b) Use the Dijkstra's algorithm to solve this shortest path problem.You need to take a trip by car to another town that you have never visited before. Therefore, you are studying a map to determine the shortest route to your destination. Depending on which route you choose, there are five other towns (call them A, B, C, D, E) that you might pass through on the way. The map shows the mileage along each road that directly connects two towns without any intervening towns. These numbers are summarized in the following table, where a dash indicates that there is no road directly connecting these two towns without going through any other towns. Town Origin A B C D E A 40 Miles between Adjacent Towns C D E B 60 10 50 20 - 70 55 - 88811 40 50 10 Destination | | || 88 60 80 (a) Formulate this problem as a shortest-path problem by drawing a network where nodes represent towns, links represent roads, and numbers indicate the length of each link in miles. (b) Use the Dijkstra's algorithm to solve this shortest path problem. Illustrate your work by using a table.…Skydiving Bibi is a skydiving instructor. Before carrying out skydiving activities, Bibi will always ask the name, height, and age of the participants. Bibi's participants is always 2 people. To make it easier to remember their identities, Bibi gave them a paper to write down their identity. But because they are very enthusiastic in doing skydiving, they write their identity in a single line only (for both of the participants), so it wasn't quite neat and it made difficult for Bibi to see it, and resulted in the skydiving process being disturbed. As one of the organizer committee, you do not want this activity to be disturbed and plan to provide a program that provides their identity neatly to Bibi. Format Input Input consists of 1 line. It contains the identity of 2 people in a row Ni, Ti, Ui - the name, height, and age of the i-th participant. Format Output The output consists of 6 lines. The first line, "Name 1: N1". The second line, "Height 1: T1". The third line, "Age: U1". For…
- How many ways can you roll 2 dice so that the sum of the dots is either 7 or 11?Complete the recursive drawBoxes() method so that it will draw all of the boxes in the image below. It currently only draws the first and smallest Box. Feel free to use a different shape if you do not like boxes.A number maze is an n × n grid of positive integers. A token starts in the upper left corner; your goal is to move the token to the lower-right corner. On each turn, you are allowed to move the token up, down, left, or right; the distance you may move the token is determined by the number on its current square. For example, if the token is on a square labeled 3, then you may move the token three steps up, three steps down, three steps left, or three steps right. However, you are never allowed to move the token off the edge of the board. 6 3574 5 315 3 283 35 74 6 53 15 1 4 2 8 3 1 4 4 5 7 2 3 4 5 7 2 3 3 1 3 2★ 3 KT3 A 5 × 5 maze that can be solved in eight moves In this problem, you will design and analyze an efficient algorithm that either returns the minimum number of moves required to solve a given number maze, or correctly reports that the maze has no solution. Describe the solution to this problem at a high level, justify why it works, write down the pseudocode for your algorithm…
- What does it mean to pick numbers at random?What is the return value of “ corona”. Substring(0,3)A number maze is a k ×k grid of positive integers. A token starts in the upper left corner and your goal is to move the token to the lower-right corner. On each turn, you are allowed to move the token up, down, left, or right; the distance you may move the token is determined by the number on its current square. For example, if the token is on a square labeled 3, then you may move the token exactly three steps up, three steps down, three steps left, or three steps right. However, you are never allowed to move the token off the edge of the board. Design and analyze an algorithm that in O(k2) time determines if there is a way to move the token in the given number maze or not.
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