Project translated automatically. Log in or register, to view the original The Institute of Geological Research is conducting the search for useful minerals.The area of search (the area of the soil) has a area of m * n hundreds of meters, the depth of search - k hundreds of meters.Previous geological studies enabled to develop a detailed map of the content of the whole volume of the soil with a precision of up to a hundred meters and presented it in the form of a three-dimensional mass of whole numbers of the size of m * n * k elements.The first two measurements correspond to flatness, the third measurement - depth (0 surface, k-most depth).Each element of the massive may have the following value: 0-beneficial mines are absent, mountain range is soft, 1-beneficial mines are absent, mountain range is solid, 2-beneficial mines are absent, mountain range is superhard, 3 water, 4 oil, 5 stone coal, 6 iron mine, 7 gold.The mining of minerals brings income.The profit from the development of one element of a massive containing oil or coal is the same.The profits from the development of the iron mine are twice as high as the profits from oil.The earnings from the development of gold are ten times higher than the oil.There is no profit from water and mountains.The complexity of mining is determined by the number of massive elements that need to pass vertically down (along the third measurement of the massive) to reach the element containing the potrible resource.A deepening on one element containing soft mountain races costs one unit of labour; solid mountain races - two units of labour; any beneficial mining and water - three units of labour; superhard mountain races - five units of labour.1 .The analysis of the search area implies the following actions: 1.Develop a program in Python and using vector operations over the divisray masses.Develop a program in Python without using the NumPy library. Compare the results of both programs with the same initial data sets.If possible, measure the comparative time of programming and make conclusions about the effectiveness of each of the programs.TaskTo find on the surface the largest rectangle, under which there is no useful minerals and water.