By starting at the top of the triangle below and moving to adjacent numbers on the row below, the maximum total from top to bottom is .
1 2 3 4
That is, .
Devise a backtracking solution to find the maximum total from top to bottom of the triangle below:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Suppose you are given an matrix with 's and 's. The matrix represents a maze. The aim is to move from any starting position to the position following the path's of 's, when you are only allowed to move to directly adjacent squares.
Write a program to determine the existence of such paths and apply it to the following text file. Which of the (row, column) pairs in our options are connected to position (m-1, n-1)?
You are given an chess board, empty but for a single knight. Write a program that determines the existence of a series of a legal knight moves that result in the knight visiting every square on the chessboard exactly once. The program is given only the starting coordinate of the "tour" as input.
Suppose . Which of the following starting points will not lead to a valid knight tour?
Details and assumptions