By convention, the rows and columns of pascal's triangle are numbered starting from 0 — note that the 0th column of every row contains the value 1. to aid in the computation of edge cases (columns in rows that do not have two values above them), it is also convenient to imagine that there are columns in row 0 extending off in both directions that contain 0s. i. e., we might envision the first row of pascal's triangle as follows:
0 0 0 1 0 0 0
1 1
1 2 1
1 3 3 1
1 4 6 4 1
complete the following function, which returns the value to be found in a given row and column of pascal's triangle.

You will be given two character arrays of the same size, one will contain a number of ships. ships will move around the character array based on which way they are facing and the route they are on. routes are given in the other array. the route consists of '-' and '|' for straight paths, '\' and '/' for curves, and '+' for intersections. there are ships on these routes. ships always face a direction, '^' for up, '> ' for right, 'v' for down, and '< ' for left. any time the ships hit a '\' or a '/' it will turn as you would expect a ship to turn (e.g. a '^' that moves into a '/' will turn right). at an intersection, ships will always continue straight through. all ships move at the same speed, ships take turns moving and all ships move during one 'tick'. the one in the most top left goes first, followed by those to its right, then the ones in the next row. it iterates along the rows and then down the columns. each ship moves one space on its turn moving along the route. your function needs to return the position of the first collision between two ships and the number of ticks before the crash occurred.

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