(Very useful for dumping data to a worksheet). Suppose your program fills a large two-dimensional…

(Very useful for dumping data to a worksheet). Suppose your program fills a large two-dimensional array called results with values, and you would like it to dump these values into an Excel range. For example, if results is m by n, you would like the program to dump the values into a range with m rows and n columns. One way is to use two nested loops to dump the data one element at a time into the appropriate cell. This approach turns out to be extremely slow. A much better approach is to set the Value property of an m-row, n-column range to results, that is, one statement with no loops. To compare these two methods, initialize the i, j element of an m by n array to I+ j. (Any values would do.) Now use both methods just described to dump the results to an m-row, n-column Excel range. You should find a huge difference. (On my computer, with m=2500, n=500, the looping method took several minutes, whereas the single-statement method took less than a second. Note that the “trick” illustrated in this problem works only for two-dimensional arrays. However, if you want to dump a one-dimensional array into a column, you can first store it in a two-dimensional array with constant second dimension equal to 1 and then use the trick.)

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