{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2025-12-14T01:33:56.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2025-12-14T00:00:00.000Z","image_id":null,"published":true,"community_created":false,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":null,"description_html":null,"published_at":null},"problems":[{"id":46833,"title":"Roots, Bloody Roots: part 1/2","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 1239.6px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 619.8px; transform-origin: 407px 619.8px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 83.2px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 41.6px; text-align: left; transform-origin: 384px 41.6px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eUsing curves or lines, we can easily spot roots from n-degree polynomials in 2D: wherever they cross the real line, we know there is a root. However, as we are well aware, roots can also be complex numbers. In this case, plotting curves no longer seem adequate since they won't be found at the real line. That's when coloring comes into place; by painting the 2D plane, we can visualize where complex or real roots are and get a sense of what's happening in a function.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 163.2px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 81.6px; text-align: left; transform-origin: 384px 81.6px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eIn this problem, we will color the complex plane using the color space HSV. Imagine that there is a vector spawning from the origin to each point in the complex plane; horizontal axis imaginary and vertical axis real. Each vector has an angle \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eα\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e (from the real-line) and a norm \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eβ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e that defines a hue (H), and a brightness (V), respectively; for saturation (S), we assume a fixed value of 1, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"37.5\" height=\"17.5\" style=\"width: 37.5px; height: 17.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e. H and V must range from 0 to 1, and to fit them into it, we will have to divide the angle by \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg 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width=\"51.5\" height=\"34\" style=\"width: 51.5px; height: 34px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, and apply the cube root to the\u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.codecademy.com/articles/normalization#:~:text=Min%2Dmax%20normalization%20is%20one,decimal%20between%200%20and%201.\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003e Min-max normalization\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e of the distance, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"155\" height=\"46\" style=\"width: 155px; height: 46px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e (the cube root allows a faster transition between low and high brightness).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 62.4px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.2px; text-align: left; transform-origin: 384px 31.2px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eOnce we have the HSV value for a point at the complex plane, we can use the function \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003ehsv2rgb \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eto find the RGB corresponding value implement it if it becomes unavailable in the future (read about it \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.rapidtables.com/convert/color/hsv-to-rgb.html\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ehere\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e). \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; text-decoration: underline; text-decoration-line: underline; \"\u003eAll RGB values must be rounded to 4 decimal places\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e to obtain the following result:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 608px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 304px; text-align: left; transform-origin: 384px 304px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: middle\" 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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 75.4px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 37.7px; text-align: left; transform-origin: 384px 37.7px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eAll you have to do in this problem is to reproduce the above result for any matrix size, m x n x 3, given m and n as input. Moreover, the complex plane origin is always in the middle of the image \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"126\" height=\"34\" alt=\"origin\" style=\"width: 126px; height: 34px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e. Notice that since the plane origin has the vector null, it will generate a black dot that brightens while going to the figure's edge.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.4px; text-align: left; transform-origin: 384px 10.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 41.6px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 20.8px; text-align: left; transform-origin: 384px 20.8px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eNote-1:\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eThis problem is inspired by a 3Blue1Brown's video: \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.youtube.com/watch?v=b7FxPsqfkOY\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"font-style: italic; \"\u003ehttps://www.youtube.com/watch?v=b7FxPsqfkOY\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, and I recommend that you watch his video if you haven't already. However, it is not required that you do to solve this problem.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 41.6px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 20.8px; text-align: left; transform-origin: 384px 20.8px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eThis problem has two parts, since it may not be easy to do everything at once. And you are encouraged to use the code for this 1st part of the problem into the next: \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/46963-roots-bloody-roots-part-2-2\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eProblem 46963\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.4px; text-align: left; transform-origin: 384px 10.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 41.6px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 20.8px; text-align: left; transform-origin: 384px 20.8px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eNote-2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e: This problem was last updated 21/08/2020; thanks to Alex's and Svyatoslav's\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"text-decoration: underline; text-decoration-line: underline; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003efeedback. All solutions were rescored. Please, let me know if anyone run into issues. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function cp = visComplexPlane(m,n)\r\n   cp = zeros(m,n,3);\r\nend","test_suite":"%% 1\r\nfiletext = fileread('visComplexPlane.m');\r\nassert(isempty(strfind(filetext, 'eval')),       'eval is forbidden.');\r\nassert(isempty(strfind(filetext, 'regexp')),     'regexp is forbidden.');\r\nassert(isempty(strfind(filetext, 'str2num')),    'str2num is forbidden.');\r\nassert(isempty(strfind(filetext, '!')),          'Shell commands are forbidden.');\r\nassert(isempty(strfind(filetext, 'mlock')),      'mlock is forbidden.');\r\nassert(isempty(strfind(filetext, 'munlock')),    'munlock is forbidden.');\r\nassert(isempty(strfind(filetext, 'fopen')),      'fopen is forbidden.');\r\n\r\n%% 2\r\nm = 500;\r\nn = 500;\r\nJ = visComplexPlane(m,n);\r\ny_correct = [25 166 212 32 32 242 196 9 240 14 196 74 21 239 79 166 192 155 87 14 90 203 196 123 106 103 228 231 133 176 133 16 121 220 125 188 164 128 53 118 3 38 18 99 144 255 171 204 104 9 125 233 196 129 18 113 142 72 7 251 36 178 60 100];\r\nassert(all(uint8(py.hashlib.sha512(py.str(mat2str(J(:))).encode('utf-8')).digest()) == y_correct));\r\n\r\n%% 3\r\nm = 251;\r\nn = 501;\r\nJ = visComplexPlane(m,n);\r\ny_correct = [187 126 253 159 247 242 249 25 213 223 27 57 35 39 110 223 166 247 82 101 71 12 193 15 251 152 215 87 39 71 245 94 66 73 135 243 163 56 168 217 198 201 20 19 255 247 100 139 72 201 30 85 234 182 238 233 137 161 206 156 86 45 71 171];\r\nassert(all(uint8(py.hashlib.sha512(py.str(mat2str(J(:))).encode('utf-8')).digest()) == y_correct));\r\n\r\n%% 4\r\nm = 750;\r\nn = 503;\r\nJ = visComplexPlane(m,n);\r\ny_correct = [83 99 239 135 129 205 10 212 2 78 245 228 122 186 117 122 39 246 53 200 68 153 227 131 222 205 146 174 216 106 200 116 100 39 179 255 244 175 226 38 246 215 98 181 228 63 118 196 176 151 192 27 150 223 123 183 2 89 219 78 215 214 125 145];\r\nassert(all(uint8(py.hashlib.sha512(py.str(mat2str(J(:))).encode('utf-8')).digest()) == y_correct));\r\n\r\n%% 5\r\nm = 501;\r\nn = 250;\r\nJ = visComplexPlane(m,n);\r\ny_correct = [82 133 222 186 239 236 118 153 188 94 116 95 105 194 37 121 52 33 230 224 181 136 182 185 124 112 24 77 148 212 113 178 164 22 80 252 117 188 26 178 66 195 83 52 159 22 205 207 210 220 12 199 110 145 121 39 101 110 2 51 117 40 93 113];\r\nassert(all(uint8(py.hashlib.sha512(py.str(mat2str(J(:))).encode('utf-8')).digest()) == y_correct));\r\n\r\n\r\n\r\n\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":20,"created_by":443343,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":"2020-10-20T14:25:24.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-10-17T03:50:33.000Z","updated_at":"2020-10-22T02:43:12.000Z","published_at":"2020-10-18T02:00:54.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eUsing curves or lines, we can easily spot roots from n-degree polynomials in 2D: wherever they cross the real line, we know there is a root. However, as we are well aware, roots can also be complex numbers. In this case, plotting curves no longer seem adequate since they won't be found at the real line. That's when coloring comes into place; by painting the 2D plane, we can visualize where complex or real roots are and get a sense of what's happening in a function.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIn this problem, we will color the complex plane using the color space HSV. Imagine that there is a vector spawning from the origin to each point in the complex plane; horizontal axis imaginary and vertical axis real. Each vector has an angle \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\alpha\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e (from the real-line) and a norm \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\beta\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e that defines a hue (H), and a brightness (V), respectively; for saturation (S), we assume a fixed value of 1, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eS=1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. H and V must range from 0 to 1, and to fit them into it, we will have to divide the angle by \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e2\\\\pi\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eH = \\\\frac{\\\\alpha}{2\\\\pi}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and apply the cube root to the\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.codecademy.com/articles/normalization#:~:text=Min%2Dmax%20normalization%20is%20one,decimal%20between%200%20and%201.\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e Min-max normalization\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e of the distance, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eV = \\\\sqrt[3]{\\\\frac{\\\\beta-\\\\min(\\\\beta)}{\\\\max(\\\\beta)-\\\\min(\\\\beta)}}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e (the cube root allows a faster transition between low and high brightness).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOnce we have the HSV value for a point at the complex plane, we can use the function \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ehsv2rgb \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eto find the RGB corresponding value implement it if it becomes unavailable in the future (read about it \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.rapidtables.com/convert/color/hsv-to-rgb.html\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ehere\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e). \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eAll RGB values must be rounded to 4 decimal places\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e to obtain the following result:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"middle\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAll you have to do in this problem is to reproduce the above result for any matrix size, m x n x 3, given m and n as input. Moreover, the complex plane origin is always in the middle of the image \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"origin\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\left ( \\\\left \\\\lfloor\\\\frac{m+1} {2} \\\\right \\\\rfloor, \\\\left \\\\lfloor\\\\frac{n+1} {2} \\\\right \\\\rfloor \\\\right )\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Notice that since the plane origin has the vector null, it will generate a black dot that brightens while going to the figure's edge.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eNote-1:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eThis problem is inspired by a 3Blue1Brown's video: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.youtube.com/watch?v=b7FxPsqfkOY\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ehttps://www.youtube.com/watch?v=b7FxPsqfkOY\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, and I recommend that you watch his video if you haven't already. However, it is not required that you do to solve this problem.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eThis problem has two parts, since it may not be easy to do everything at once. And you are encouraged to use the code for this 1st part of the problem into the next: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/46963-roots-bloody-roots-part-2-2\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eProblem 46963\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eNote-2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e: This problem was last updated 21/08/2020; thanks to Alex's and Svyatoslav's\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003efeedback. All solutions were rescored. Please, let me know if anyone run into issues. 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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":46963,"title":"Roots, Bloody Roots: part 2/2","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 1209.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 604.9px; transform-origin: 407px 604.9px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 83.2px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 41.6px; text-align: left; transform-origin: 384px 41.6px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eUsing curves or lines, we can easily spot roots from n-degree polynomials in 2D: wherever they cross the real line, we know there is a root. However, as we are well aware, roots can also be complex numbers. In this case, plotting curves no longer seem adequate since they won't be found at the real line. That's when coloring comes into place; by painting the 2D plane, we can visualize where complex or real roots are and get a sense of what's happening in a function.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 171px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 85.5px; text-align: left; transform-origin: 384px 85.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThis problem is the second part of a previous one; if you haven't solved it, \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/46833-roots-bloody-roots-part-1-2\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eProblem 46833\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, please do it before proceeding. Finally, we will color the complex plane following the roots of any given polynomial using the color space HSV.  The same rules for HSV-space apply, but instead of using the cube root for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eV\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, we will allow the user to choose its \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Gamma_correction\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003egamma correction\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e parameters used to the\u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.codecademy.com/articles/normalization#:~:text=Min%2Dmax%20normalization%20is%20one,decimal%20between%200%20and%201.\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003e Min-max normalization\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e of the distance, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg 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src=\"data:image/png;base64,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\" width=\"109.5\" height=\"17.5\" style=\"width: 109.5px; height: 17.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e. Once the three values are computed, convert them to RGB space using the function \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003ehsv2rgb \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eand\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"text-decoration: underline; text-decoration-line: underline; \"\u003eround them to 4 decimal places\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e. Moreover, instead of plotting a matrix, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003em\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e x \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e x 3, centered at the origin, we will center it at the \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Minimum_bounding_box\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ebounding-box\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e enveloping the roots of a given polynomial \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eP\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e; horizontal axis imaginary and vertical axis real. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 62.4px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.2px; text-align: left; transform-origin: 384px 31.2px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eAny line has only one root, which should always be at the center of the image (generating a figure similar to those obtained at the previous problem). As another example of expected output, this is the result for the 10th roots of unit given \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"196.5\" height=\"17.5\" style=\"width: 196.5px; height: 17.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg 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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 158.6px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 79.3px; text-align: left; transform-origin: 384px 79.3px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003ePolynomials may have any number of roots between 1 and the maximum that MATLAB can compute (or Cody), which means one or two dimensions may have thickness 0. Your algorithm must take this case into account by calculating the \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Minimum_bounding_box\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eminimum bounding-box\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e and doubling the distance from the box's center to its edges. If one size has thickness zero, use the same thickness as the non-zero one, and if both are zero, use a square of side 2 (a distance of two times one). The center of the box can be found using \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"242\" height=\"34\" style=\"width: 242px; height: 34px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, in which \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"68.5\" height=\"17.5\" style=\"width: 68.5px; height: 17.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e. Since we render a matrix of size \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003em\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003ex\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, your algorithm should convert each pixel position to the complex roots' \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Minimum_bounding_box\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ebounding box\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e interval. This operation is linear, and you may use the function\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e interp1.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"text-decoration: underline; text-decoration-line: underline; \"\u003e All values obtained by interpolation must also be rounded to 4 decimal places.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.4px; text-align: left; transform-origin: 384px 10.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.4px; text-align: left; transform-origin: 384px 10.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eGood luck!\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.4px; text-align: left; transform-origin: 384px 10.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 41.6px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 20.8px; text-align: left; transform-origin: 384px 20.8px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eNote-1:\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eThis problem is inspired by a 3Blue1Brown's video: \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.youtube.com/watch?v=b7FxPsqfkOY\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"font-style: italic; \"\u003ehttps://www.youtube.com/watch?v=b7FxPsqfkOY\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, and I recommend that you watch his video if you haven't already. However, it is not required that you do to solve this problem.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 41.6px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 20.8px; text-align: left; transform-origin: 384px 20.8px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eNote-2:\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e This problem was last updated 22/08/2020. Thanks to Svyatoslav's feedback. Please, let me know if anyone run into issues. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function cp = visComplexFunctions(m,n,P,A,g)\r\n   cp = zeros(m,n,3);\r\nend","test_suite":"%% 1\r\nfiletext = fileread('visComplexFunctions.m');\r\nassert(~contains(filetext, 'eval'),       'eval is forbidden.');\r\nassert(~contains(filetext, 'regexp'),     'regexp is forbidden.');\r\nassert(~contains(filetext, 'str2num'),    'str2num is forbidden.');\r\nassert(~contains(filetext, '!'),          'Shell commands are forbidden.');\r\nassert(~contains(filetext, 'mlock'),      'mlock is forbidden.');\r\nassert(~contains(filetext, 'munlock'),    'munlock is forbidden.');\r\nassert(~contains(filetext, 'fopen'),      'fopen is forbidden.');\r\n\r\n%% 1 root (it should be visually similar to the previous problem) \r\nm = 500;\r\nn = 500;\r\nP = [1 0];\r\nA = 1;\r\ng = 1/3;\r\nJ = visComplexFunctions(m,n,P,A,g);\r\ny_correct = [67 151 134 57 63 114 55 70 233 171 65 27 23 111 73 86 141 198 167 176 195 23 84 33 131 21 126 79 252 17 42 206 197 31 22 228 169 155 152 215 201 192 74 163 49 115 189 162 31 61 189 176 211 9 200 45 178 212 151 46 45 52 150 119];\r\nassert(all(uint8(py.hashlib.sha512(py.str(mat2str(J(:))).encode('utf-8')).digest()) == y_correct));\r\n\r\n%% 2 roots, real numbers 4 and 5\r\nm = 288;\r\nn = 313;\r\nP = [1 -9 20];\r\nA = 2;\r\ng = 1/4;\r\nJ = visComplexFunctions(m,n,P,A,g);\r\ny_correct = [3 2 108 135 250 68 32 87 219 238 241 146 159 206 29 89 105 62 3 38 172 74 87 182 240 128 51 106 175 46 191 249 55 107 66 150 132 7 55 217 49 230 100 81 254 253 168 61 184 79 73 10 185 255 77 183 129 55 141 150 25 129 166 239];\r\nassert(all(uint8(py.hashlib.sha512(py.str(mat2str(J(:))).encode('utf-8')).digest()) == y_correct));\r\n\r\n%% 2 roots, imaginary numbers 3i and 7i\r\nm = 288;\r\nn = 313;\r\nP = [1 -10j -21];\r\nA = 1;\r\ng = 1/5;\r\nJ = visComplexFunctions(m,n,P,A,g);\r\ny_correct = [155 34 217 156 139 224 158 245 214 150 110 149 103 106 146 214 68 192 63 203 244 145 24 159 132 106 167 74 108 220 189 69 167 243 205 168 124 65 224 166 110 190 235 137 190 126 26 154 137 95 8 107 22 206 231 21 68 20 62 190 101 169 210 213];\r\nassert(all(uint8(py.hashlib.sha512(py.str(mat2str(J(:))).encode('utf-8')).digest()) == y_correct));\r\n\r\n%% 3 roots, real and complex\r\nm = 501;\r\nn = 520;\r\nP = [1 0 0 8];\r\nA = 1.5;\r\ng = 1/10;\r\nJ = visComplexFunctions(m,n,P,A,g);\r\ny_correct = [141 102 223 146 20 110 62 97 40 118 21 154 195 204 17 85 153 239 59 60 187 153 114 248 98 54 81 46 164 187 217 229 160 66 138 55 134 248 132 200 101 175 5 113 23 179 22 133 234 106 81 71 121 156 11 197 55 172 13 60 92 190 227 222];\r\nassert(all(uint8(py.hashlib.sha512(py.str(mat2str(J(:))).encode('utf-8')).digest()) == y_correct));\r\n\r\n%% 6 roots\r\nm = 333;\r\nn = 456;\r\nP = [2     3     7     5     4     9     6];\r\nA = 1;\r\ng = 1/100;\r\nJ = visComplexFunctions(m,n,P,A,g);\r\ny_correct = [33 121 184 78 3 160 247 95 87 56 130 105 13 207 68 54 95 82 167 247 130 84 208 214 32 51 71 216 122 33 66 98 225 133 161 229 40 120 156 108 66 65 168 201 216 212 210 35 209 179 13 44 163 54 27 15 193 241 139 165 135 35 133 116];\r\nassert(all(uint8(py.hashlib.sha512(py.str(mat2str(J(:))).encode('utf-8')).digest()) == y_correct));\r\n\r\n%% 10th roots of unit\r\nm = 400;\r\nn = 400;\r\nP = [1, zeros(1,9), -1];\r\nA = 2;\r\ng = 1/10;\r\nJ = visComplexFunctions(m,n,P,A,g);\r\ny_correct = [125 241 216 228 94 158 103 189 54 61 152 118 211 211 55 71 69 29 197 245 63 208 134 79 56 227 95 120 228 241 180 29 135 141 148 37 1 9 197 227 119 73 78 32 245 119 155 33 230 131 13 88 94 178 60 131 222 151 23 204 69 10 119 71];\r\nassert(all(uint8(py.hashlib.sha512(py.str(mat2str(J(:))).encode('utf-8')).digest()) == y_correct));\r\n\r\n%% 50 roots\r\nm = 345;\r\nn = 345;\r\nP = [23.5333 71.8885 61.0979 15.3443 -63.4155 -52.0136 77.3024 -94.2652 -2.0197 -66.4146 95.7361 42.5389 0.0943 -5.7823 -88.0762 36.3944 -91.5138 -85.7109 4.33 -80.654 63.6297 63.5094 44.4879 -70.0269 31.9211 3.719 94.5949 29.7983 60.0661 -9.2405 -13.5217 65.0628 -83.306 -73.3658 -65.3223 -21.8124 66.2759 60.6729 -87.9058 -20.1484 5.3752 -16.6401 31.372 25.5947 -41.6032 -13.6698 -96.9026 96.8127 -66.5663 -78.7567 -25.5181];\r\nA = 4.2;\r\ng = 1/70;\r\nJ = visComplexFunctions(m,n,P,A,g);\r\ny_correct = [74 14 97 210 12 6 2 10 1 14 52 179 120 217 104 175 208 234 172 69 215 119 4 191 68 248 23 75 25 254 172 191 219 51 154 44 31 96 164 199 194 25 237 79 254 3 216 8 63 244 125 112 208 154 222 68 249 101 200 220 211 113 247 17];\r\nassert(all(uint8(py.hashlib.sha512(py.str(mat2str(J(:))).encode('utf-8')).digest()) == y_correct));\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":7,"created_by":443343,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":1,"test_suite_updated_at":"2020-10-22T06:11:23.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-10-20T03:40:13.000Z","updated_at":"2020-10-22T06:13:05.000Z","published_at":"2020-10-20T05:34:43.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eUsing curves or lines, we can easily spot roots from n-degree polynomials in 2D: wherever they cross the real line, we know there is a root. However, as we are well aware, roots can also be complex numbers. In this case, plotting curves no longer seem adequate since they won't be found at the real line. That's when coloring comes into place; by painting the 2D plane, we can visualize where complex or real roots are and get a sense of what's happening in a function.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThis problem is the second part of a previous one; if you haven't solved it, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/46833-roots-bloody-roots-part-1-2\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eProblem 46833\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, please do it before proceeding. Finally, we will color the complex plane following the roots of any given polynomial using the color space HSV.  The same rules for HSV-space apply, but instead of using the cube root for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eV\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, we will allow the user to choose its \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Gamma_correction\\\"\u003e\u003cw:r\u003e\u003cw:t\u003egamma correction\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e parameters used to the\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.codecademy.com/articles/normalization#:~:text=Min%2Dmax%20normalization%20is%20one,decimal%20between%200%20and%201.\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e Min-max normalization\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e of the distance, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eV = A\\\\sqrt[\\\\gamma]{\\\\frac{\\\\beta-\\\\min(\\\\beta)}{\\\\max(\\\\beta)-\\\\min(\\\\beta)}}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e , in which \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA \\\\in \\\\mathbb{R} \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e0 \\\\le \\\\gamma \\\\le 1, ~\\\\gamma\\\\in\\\\mathbb{R}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Once the three values are computed, convert them to RGB space using the function \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ehsv2rgb \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eround them to 4 decimal places\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. Moreover, instead of plotting a matrix, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e x \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e x 3, centered at the origin, we will center it at the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Minimum_bounding_box\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ebounding-box\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e enveloping the roots of a given polynomial \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eP\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e; horizontal axis imaginary and vertical axis real. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAny line has only one root, which should always be at the center of the image (generating a figure similar to those obtained at the previous problem). As another example of expected output, this is the result for the 10th roots of unit given \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eP=[1,0,0,0,0,0,0,0,0,0,-1]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\gamma=0.1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA=2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003em=400\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en = 400\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"508\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"574\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"middle\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ePolynomials may have any number of roots between 1 and the maximum that MATLAB can compute (or Cody), which means one or two dimensions may have thickness 0. Your algorithm must take this case into account by calculating the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Minimum_bounding_box\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eminimum bounding-box\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e and doubling the distance from the box's center to its edges. If one size has thickness zero, use the same thickness as the non-zero one, and if both are zero, use a square of side 2 (a distance of two times one). The center of the box can be found using \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\left ( \\\\frac{\\\\min(a)+\\\\max(a)} {2},  \\\\frac{\\\\min(b)+\\\\max(b)} {2}  \\\\right )\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, in which \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea+bi \\\\in \\\\mathbb{C}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Since we render a matrix of size \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, your algorithm should convert each pixel position to the complex roots' \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Minimum_bounding_box\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ebounding box\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e interval. This operation is linear, and you may use the function\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e interp1.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e All values obtained by interpolation must also be rounded to 4 decimal places.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGood luck!\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eNote-1:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eThis problem is inspired by a 3Blue1Brown's video: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.youtube.com/watch?v=b7FxPsqfkOY\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ehttps://www.youtube.com/watch?v=b7FxPsqfkOY\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, and I recommend that you watch his video if you haven't already. However, it is not required that you do to solve this problem.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eNote-2:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e This problem was last updated 22/08/2020. Thanks to Svyatoslav's feedback. Please, let me know if anyone run into issues. 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Bloody Roots: part 1/2","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 1239.6px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 619.8px; transform-origin: 407px 619.8px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 83.2px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 41.6px; text-align: left; transform-origin: 384px 41.6px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eUsing curves or lines, we can easily spot roots from n-degree polynomials in 2D: wherever they cross the real line, we know there is a root. However, as we are well aware, roots can also be complex numbers. In this case, plotting curves no longer seem adequate since they won't be found at the real line. That's when coloring comes into place; by painting the 2D plane, we can visualize where complex or real roots are and get a sense of what's happening in a function.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 163.2px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 81.6px; text-align: left; transform-origin: 384px 81.6px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eIn this problem, we will color the complex plane using the color space HSV. Imagine that there is a vector spawning from the origin to each point in the complex plane; horizontal axis imaginary and vertical axis real. Each vector has an angle \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eα\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e (from the real-line) and a norm \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eβ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e that defines a hue (H), and a brightness (V), respectively; for saturation (S), we assume a fixed value of 1, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"37.5\" height=\"17.5\" style=\"width: 37.5px; height: 17.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e. H and V must range from 0 to 1, and to fit them into it, we will have to divide the angle by \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"19.5\" height=\"17.5\" style=\"width: 19.5px; height: 17.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"51.5\" height=\"34\" style=\"width: 51.5px; height: 34px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, and apply the cube root to the\u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.codecademy.com/articles/normalization#:~:text=Min%2Dmax%20normalization%20is%20one,decimal%20between%200%20and%201.\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003e Min-max normalization\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e of the distance, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"155\" height=\"46\" style=\"width: 155px; height: 46px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e (the cube root allows a faster transition between low and high brightness).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 62.4px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.2px; text-align: left; transform-origin: 384px 31.2px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eOnce we have the HSV value for a point at the complex plane, we can use the function \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003ehsv2rgb \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eto find the RGB corresponding value implement it if it becomes unavailable in the future (read about it \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.rapidtables.com/convert/color/hsv-to-rgb.html\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ehere\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e). \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; text-decoration: underline; text-decoration-line: underline; \"\u003eAll RGB values must be rounded to 4 decimal places\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e to obtain the following result:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 608px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 304px; text-align: left; transform-origin: 384px 304px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: middle\" 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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 75.4px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 37.7px; text-align: left; transform-origin: 384px 37.7px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eAll you have to do in this problem is to reproduce the above result for any matrix size, m x n x 3, given m and n as input. Moreover, the complex plane origin is always in the middle of the image \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"126\" height=\"34\" alt=\"origin\" style=\"width: 126px; height: 34px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e. Notice that since the plane origin has the vector null, it will generate a black dot that brightens while going to the figure's edge.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.4px; text-align: left; transform-origin: 384px 10.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 41.6px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 20.8px; text-align: left; transform-origin: 384px 20.8px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eNote-1:\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eThis problem is inspired by a 3Blue1Brown's video: \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.youtube.com/watch?v=b7FxPsqfkOY\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"font-style: italic; \"\u003ehttps://www.youtube.com/watch?v=b7FxPsqfkOY\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, and I recommend that you watch his video if you haven't already. However, it is not required that you do to solve this problem.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 41.6px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 20.8px; text-align: left; transform-origin: 384px 20.8px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eThis problem has two parts, since it may not be easy to do everything at once. And you are encouraged to use the code for this 1st part of the problem into the next: \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/46963-roots-bloody-roots-part-2-2\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eProblem 46963\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.4px; text-align: left; transform-origin: 384px 10.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 41.6px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 20.8px; text-align: left; transform-origin: 384px 20.8px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eNote-2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e: This problem was last updated 21/08/2020; thanks to Alex's and Svyatoslav's\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"text-decoration: underline; text-decoration-line: underline; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003efeedback. All solutions were rescored. Please, let me know if anyone run into issues. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function cp = visComplexPlane(m,n)\r\n   cp = zeros(m,n,3);\r\nend","test_suite":"%% 1\r\nfiletext = fileread('visComplexPlane.m');\r\nassert(isempty(strfind(filetext, 'eval')),       'eval is forbidden.');\r\nassert(isempty(strfind(filetext, 'regexp')),     'regexp is forbidden.');\r\nassert(isempty(strfind(filetext, 'str2num')),    'str2num is forbidden.');\r\nassert(isempty(strfind(filetext, '!')),          'Shell commands are forbidden.');\r\nassert(isempty(strfind(filetext, 'mlock')),      'mlock is forbidden.');\r\nassert(isempty(strfind(filetext, 'munlock')),    'munlock is forbidden.');\r\nassert(isempty(strfind(filetext, 'fopen')),      'fopen is forbidden.');\r\n\r\n%% 2\r\nm = 500;\r\nn = 500;\r\nJ = visComplexPlane(m,n);\r\ny_correct = [25 166 212 32 32 242 196 9 240 14 196 74 21 239 79 166 192 155 87 14 90 203 196 123 106 103 228 231 133 176 133 16 121 220 125 188 164 128 53 118 3 38 18 99 144 255 171 204 104 9 125 233 196 129 18 113 142 72 7 251 36 178 60 100];\r\nassert(all(uint8(py.hashlib.sha512(py.str(mat2str(J(:))).encode('utf-8')).digest()) == y_correct));\r\n\r\n%% 3\r\nm = 251;\r\nn = 501;\r\nJ = visComplexPlane(m,n);\r\ny_correct = [187 126 253 159 247 242 249 25 213 223 27 57 35 39 110 223 166 247 82 101 71 12 193 15 251 152 215 87 39 71 245 94 66 73 135 243 163 56 168 217 198 201 20 19 255 247 100 139 72 201 30 85 234 182 238 233 137 161 206 156 86 45 71 171];\r\nassert(all(uint8(py.hashlib.sha512(py.str(mat2str(J(:))).encode('utf-8')).digest()) == y_correct));\r\n\r\n%% 4\r\nm = 750;\r\nn = 503;\r\nJ = visComplexPlane(m,n);\r\ny_correct = [83 99 239 135 129 205 10 212 2 78 245 228 122 186 117 122 39 246 53 200 68 153 227 131 222 205 146 174 216 106 200 116 100 39 179 255 244 175 226 38 246 215 98 181 228 63 118 196 176 151 192 27 150 223 123 183 2 89 219 78 215 214 125 145];\r\nassert(all(uint8(py.hashlib.sha512(py.str(mat2str(J(:))).encode('utf-8')).digest()) == y_correct));\r\n\r\n%% 5\r\nm = 501;\r\nn = 250;\r\nJ = visComplexPlane(m,n);\r\ny_correct = [82 133 222 186 239 236 118 153 188 94 116 95 105 194 37 121 52 33 230 224 181 136 182 185 124 112 24 77 148 212 113 178 164 22 80 252 117 188 26 178 66 195 83 52 159 22 205 207 210 220 12 199 110 145 121 39 101 110 2 51 117 40 93 113];\r\nassert(all(uint8(py.hashlib.sha512(py.str(mat2str(J(:))).encode('utf-8')).digest()) == y_correct));\r\n\r\n\r\n\r\n\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":20,"created_by":443343,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":"2020-10-20T14:25:24.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-10-17T03:50:33.000Z","updated_at":"2020-10-22T02:43:12.000Z","published_at":"2020-10-18T02:00:54.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eUsing curves or lines, we can easily spot roots from n-degree polynomials in 2D: wherever they cross the real line, we know there is a root. However, as we are well aware, roots can also be complex numbers. In this case, plotting curves no longer seem adequate since they won't be found at the real line. That's when coloring comes into place; by painting the 2D plane, we can visualize where complex or real roots are and get a sense of what's happening in a function.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIn this problem, we will color the complex plane using the color space HSV. Imagine that there is a vector spawning from the origin to each point in the complex plane; horizontal axis imaginary and vertical axis real. Each vector has an angle \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\alpha\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e (from the real-line) and a norm \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\beta\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e that defines a hue (H), and a brightness (V), respectively; for saturation (S), we assume a fixed value of 1, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eS=1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. H and V must range from 0 to 1, and to fit them into it, we will have to divide the angle by \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e2\\\\pi\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eH = \\\\frac{\\\\alpha}{2\\\\pi}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and apply the cube root to the\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.codecademy.com/articles/normalization#:~:text=Min%2Dmax%20normalization%20is%20one,decimal%20between%200%20and%201.\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e Min-max normalization\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e of the distance, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eV = \\\\sqrt[3]{\\\\frac{\\\\beta-\\\\min(\\\\beta)}{\\\\max(\\\\beta)-\\\\min(\\\\beta)}}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e (the cube root allows a faster transition between low and high brightness).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOnce we have the HSV value for a point at the complex plane, we can use the function \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ehsv2rgb \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eto find the RGB corresponding value implement it if it becomes unavailable in the future (read about it \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.rapidtables.com/convert/color/hsv-to-rgb.html\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ehere\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e). \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eAll RGB values must be rounded to 4 decimal places\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e to obtain the following result:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"middle\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAll you have to do in this problem is to reproduce the above result for any matrix size, m x n x 3, given m and n as input. Moreover, the complex plane origin is always in the middle of the image \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"origin\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\left ( \\\\left \\\\lfloor\\\\frac{m+1} {2} \\\\right \\\\rfloor, \\\\left \\\\lfloor\\\\frac{n+1} {2} \\\\right \\\\rfloor \\\\right )\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Notice that since the plane origin has the vector null, it will generate a black dot that brightens while going to the figure's edge.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eNote-1:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eThis problem is inspired by a 3Blue1Brown's video: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.youtube.com/watch?v=b7FxPsqfkOY\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ehttps://www.youtube.com/watch?v=b7FxPsqfkOY\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, and I recommend that you watch his video if you haven't already. However, it is not required that you do to solve this problem.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eThis problem has two parts, since it may not be easy to do everything at once. And you are encouraged to use the code for this 1st part of the problem into the next: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/46963-roots-bloody-roots-part-2-2\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eProblem 46963\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eNote-2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e: This problem was last updated 21/08/2020; thanks to Alex's and Svyatoslav's\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003efeedback. All solutions were rescored. Please, let me know if anyone run into issues. 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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":46963,"title":"Roots, Bloody Roots: part 2/2","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 1209.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 604.9px; transform-origin: 407px 604.9px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 83.2px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 41.6px; text-align: left; transform-origin: 384px 41.6px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eUsing curves or lines, we can easily spot roots from n-degree polynomials in 2D: wherever they cross the real line, we know there is a root. However, as we are well aware, roots can also be complex numbers. In this case, plotting curves no longer seem adequate since they won't be found at the real line. That's when coloring comes into place; by painting the 2D plane, we can visualize where complex or real roots are and get a sense of what's happening in a function.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 171px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 85.5px; text-align: left; transform-origin: 384px 85.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThis problem is the second part of a previous one; if you haven't solved it, \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/46833-roots-bloody-roots-part-1-2\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eProblem 46833\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, please do it before proceeding. Finally, we will color the complex plane following the roots of any given polynomial using the color space HSV.  The same rules for HSV-space apply, but instead of using the cube root for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eV\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, we will allow the user to choose its \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Gamma_correction\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003egamma correction\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e parameters used to the\u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.codecademy.com/articles/normalization#:~:text=Min%2Dmax%20normalization%20is%20one,decimal%20between%200%20and%201.\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003e Min-max normalization\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e of the distance, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg 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src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANsAAAAjCAYAAAAdQn80AAAJOUlEQVR4Xu2cd4x9RRXHPyAREBWQECNFlIhYAGOUEiBqVAQ1oCBYaCrWIBIBsRcEUaoVNCpgoVhAlB6JGg22WCDCH0RQUQlgN3aNBM3HnEkud999d27dt7t3kg0/3s6bmXNmvnPO+Z4zuw5TmzQwaWAUDawzyizTJJMGJg0wgW06BJMGRtLABLaRFD1NM2lgAtt0BiYNjKSBCWwjKXqaZtLABLbpDEwaGEkDdWDbHDgc2AH4FfBo4CfAucAvRlrjNE29Bh4KvBa4HvhsffepR4UGNgMuBPbO0NANwC+BbwLXALcA/533vSqw+bkTfiA27zTgn8B6wJHAsfHzpboJMhbdtMtGsY4/N/3iAvbvKosgcz9eATwIODQOywKKuiKWlMD2ReBSYGfAs/8y4OcFCdYFHgm8Htg9Pv9k9P1jlaRVYNsjNs0JDgPuKAzwQODDwJOBFweyx9CkB/P5wBtD+G+PMelAc3SVZRPg5YCbvlVYNZc6ga3bhiWwnR/nXxycDbwgPLri6BsC7wfuDMsmJn4AvCEM05KVzALbpsDHgIOA42LAsnk8ABD9l8et+ttuMs79tuAW8LpJ2wM3xaG6ccA5hxq6L1n0MO6Jn0cBXwB2nMDWedvagE1DdBLwVOC8MARfm7WSWWB7GqB7aHsmMMuCeOg/DzwOeF6Y3M6SlgZQ8JcEyLYJkJ0JXAL8ve/JBh5vSFmKe7GaLZtW/DFhZZ4O7JaxZ+8IIGR0/X+XLmB7QFjBm4H35oDtPrG4NwPfAQ6OILD83Y2Bc4ADwwoeU2U6c6Us9FPgI4A3RRyiJVvJIBtalrUAtq2BdwdZ1+RIjQk21/V2YEtgJh7Klq0IoqvCffvTDOmSv/oq4BvAIeG7NlFEue9DwgS7UIN9QXZKWFnJmZXUxpRltYNN+WS/jZ9kwo2hLgZ+MwA518WyNQbbI4DPAU/IsFii+ETgLmBf4Ect0VBm1IYA2XbA+yKuMYB1s1Ic6oWj++WPzfhHZsmYqGkbQ5bympYbbMaPsqFaHilw43yBkNoWcWk+GDC2f2ukkXJ0a+pJ/mB/wMv/NRWeVs5YOX26gO1+wAeDtcxyI4vBtkLOcw8T2BRiz4rYbp6AKTekddTfHQJkzp82zIvkYcBXgslLqQOBKPu0a4DQ9cyy5osgy6w1LDfYXgicHAvbFnhOEGd+ZFhimkj6/K/hKV2Wc+qjj5S74YpAk339dYPvtunaBWw7ARcEZrIIEk31t2KVTcDWJDD3wHv7mTYQZNKlpwNX9hj3FRUtcyqgzBm68RI6HpCfRr7uXcBbgB8DLwIMcHPb2LIsGthkrk8NxlpPQNLMn3SzewD1lCyG8HI2LLg7U7kppDHfKxvdBKSZUyzp1hZsHw8LLDOp5zSTwCvHbLqPVwDGHE3AVrzN6gSVopaA8WDbrosN+yrw77ovN/z9+gGwT4W7W86bPCkOw/2BV0cCf24VQGn+MWWpEn05LdsuAaRPAymOT1R4Ma4XKHoMRfeybisFqszzzwJsv6/7Qg+/nwW2j85IajuVl4GXh/+9L3B7GJHfVa2jDLbixjUBW1M30nl1WY8PRlMLNyTokvzK9yHg6IgfUj7xI/NupJpNXC5ZijKlNEwTD6OHs7lkCK2XzbyTF7DuuRUVbYofil5W27X2wUYmT6+8Bt1iiTtJG+ex31yrXQabway1YU9pYNmc9BnA91poxPkfHn5uciuHBJ1gOyFyd/vEYTCP6CHtWus5tiyLCjarjoxZjLWeDbwuLrgmHoOyLQrYUgWJtY96Y54fU2I/DKtuItvqEWtSG9VG5lL/G0Tuy7q8efm4JvgrM3lDgE6wvS3iN5kjA3qB9vUmC83oO4Ysiwq2WwGZR2PkT8RF2qYIIbmRxtKSI2PUwtbFbDKvxviPDbdYdjUBUEbWouTKVrZs/r/UrG5AblLbeOioHqs6yjmqPkGn6+oFYbP8y8S5CfPcoD0DZ/fqMqQsiwY2z847g8k1PvsL8NKGhFNRecnL8oJ8LvD9pspv0b8ObA7pRWL48d04O34m4Wf6a66HNK9c629z8mfFfJy3jknHvlu5xEnW0lulC5Gia+JarVF085oG7W1lHEKWRQObhMgZUaCuZW9DOBX1a9pA8BoHvif+PdSlmObNAZt9LcLXass5SP6kemLJkWw20oFSVb/v2FSYKC63/WKSvuKdeYd41kE1vmtC0afx9wKujcSopWb63WO2PmVpAzbrCw0V/gN4mfbZUm2gNL3egh5SV3b5icFIyvYN4e6X5c8Fm0ZKI2MeMFlv0xsWQ1hXPNNbqntio7+sL1qs6k9gNKv/yqDO+9y0qrGKFfMK2eaJjReINLUHQiKoadDel5x9yNIUbMYbujvS1ZJahgo+EenLWlg8cFEArK8EdHHNsn5e/sZFQ+1bLtjUvc+kTNbbkjUrW7x7nZd5j0f1k01OejgtdfKWUnitihtlrswD29dm5R7ktg8uzbmpHN0dK2PaBO25a8zt11aW4vi+zLg6Pqh6EuWvy6+QvUhnvdPKXXu5nzm3z0RM3CfhlA61sbaXhJ6WuS/Z4zYldXVelGe6+HjUy6lKT8mamQ/UqokPz5Zs/pJ4te7PIuh7aw1khqR0fahoYlI69LYBb5i2Gz7vex6GL8dGeVms5ObF4fspc1m+O7Rw22ZOS8LKnI/EUjER7EEwv6h7l/o3zY9W6SxdZN7sfQI4zecF6UWiBdFdzW1t82zFP4tQdymZ9hJs5XUtSeTXgS1XqEXvV6xmWO7E7yLoSpfvrEjG6p51bakSxwe9vgD5Q9cBZ3zfs+q7Rl/rPytIirppmoKtbrxOv18OsBULmNsuvumNXLx9rIu04qKPthyy9LFuraIAsVK/axhQJNTmPcvqY90reoy1ADZ9fm9xX313qXaZtdErEWzGGbpkupNNahWrDnp62a8bZdmbY/9rRaNioMUvB9gGEqVy2GJxdV/VLmPL0Nd8j49aVKs7KgtmG0wmJS+BIClg81WFDOfUKvzg1a4YYwjfGdksQjbI7pr/We06y5WvyHD6iHisSo/c9S1Uv7Vg2dKf5fPhYZfyoYXauAVZjMST6RTL9YYufVsQkdsvYy2ATe1YOC0R0JUMaK/p1ftNq1LU7z9Wr4j9SLZWwNaPtqZRJg100MD/AFIKiUL1IhAWAAAAAElFTkSuQmCC\" width=\"109.5\" height=\"17.5\" style=\"width: 109.5px; height: 17.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e. Once the three values are computed, convert them to RGB space using the function \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003ehsv2rgb \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eand\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"text-decoration: underline; text-decoration-line: underline; \"\u003eround them to 4 decimal places\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e. Moreover, instead of plotting a matrix, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003em\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e x \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e x 3, centered at the origin, we will center it at the \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Minimum_bounding_box\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ebounding-box\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e enveloping the roots of a given polynomial \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eP\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e; horizontal axis imaginary and vertical axis real. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 62.4px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.2px; text-align: left; transform-origin: 384px 31.2px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eAny line has only one root, which should always be at the center of the image (generating a figure similar to those obtained at the previous problem). As another example of expected output, this is the result for the 10th roots of unit given \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"196.5\" height=\"17.5\" style=\"width: 196.5px; height: 17.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg 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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 158.6px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 79.3px; text-align: left; transform-origin: 384px 79.3px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003ePolynomials may have any number of roots between 1 and the maximum that MATLAB can compute (or Cody), which means one or two dimensions may have thickness 0. Your algorithm must take this case into account by calculating the \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Minimum_bounding_box\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eminimum bounding-box\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e and doubling the distance from the box's center to its edges. If one size has thickness zero, use the same thickness as the non-zero one, and if both are zero, use a square of side 2 (a distance of two times one). The center of the box can be found using \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"242\" height=\"34\" style=\"width: 242px; height: 34px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, in which \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"68.5\" height=\"17.5\" style=\"width: 68.5px; height: 17.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e. Since we render a matrix of size \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003em\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003ex\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, your algorithm should convert each pixel position to the complex roots' \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Minimum_bounding_box\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ebounding box\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e interval. This operation is linear, and you may use the function\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e interp1.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"text-decoration: underline; text-decoration-line: underline; \"\u003e All values obtained by interpolation must also be rounded to 4 decimal places.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.4px; text-align: left; transform-origin: 384px 10.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.4px; text-align: left; transform-origin: 384px 10.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eGood luck!\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.4px; text-align: left; transform-origin: 384px 10.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 41.6px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 20.8px; text-align: left; transform-origin: 384px 20.8px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eNote-1:\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eThis problem is inspired by a 3Blue1Brown's video: \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.youtube.com/watch?v=b7FxPsqfkOY\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"font-style: italic; \"\u003ehttps://www.youtube.com/watch?v=b7FxPsqfkOY\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, and I recommend that you watch his video if you haven't already. However, it is not required that you do to solve this problem.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 41.6px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 20.8px; text-align: left; transform-origin: 384px 20.8px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eNote-2:\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e This problem was last updated 22/08/2020. Thanks to Svyatoslav's feedback. Please, let me know if anyone run into issues. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function cp = visComplexFunctions(m,n,P,A,g)\r\n   cp = zeros(m,n,3);\r\nend","test_suite":"%% 1\r\nfiletext = fileread('visComplexFunctions.m');\r\nassert(~contains(filetext, 'eval'),       'eval is forbidden.');\r\nassert(~contains(filetext, 'regexp'),     'regexp is forbidden.');\r\nassert(~contains(filetext, 'str2num'),    'str2num is forbidden.');\r\nassert(~contains(filetext, '!'),          'Shell commands are forbidden.');\r\nassert(~contains(filetext, 'mlock'),      'mlock is forbidden.');\r\nassert(~contains(filetext, 'munlock'),    'munlock is forbidden.');\r\nassert(~contains(filetext, 'fopen'),      'fopen is forbidden.');\r\n\r\n%% 1 root (it should be visually similar to the previous problem) \r\nm = 500;\r\nn = 500;\r\nP = [1 0];\r\nA = 1;\r\ng = 1/3;\r\nJ = visComplexFunctions(m,n,P,A,g);\r\ny_correct = [67 151 134 57 63 114 55 70 233 171 65 27 23 111 73 86 141 198 167 176 195 23 84 33 131 21 126 79 252 17 42 206 197 31 22 228 169 155 152 215 201 192 74 163 49 115 189 162 31 61 189 176 211 9 200 45 178 212 151 46 45 52 150 119];\r\nassert(all(uint8(py.hashlib.sha512(py.str(mat2str(J(:))).encode('utf-8')).digest()) == y_correct));\r\n\r\n%% 2 roots, real numbers 4 and 5\r\nm = 288;\r\nn = 313;\r\nP = [1 -9 20];\r\nA = 2;\r\ng = 1/4;\r\nJ = visComplexFunctions(m,n,P,A,g);\r\ny_correct = [3 2 108 135 250 68 32 87 219 238 241 146 159 206 29 89 105 62 3 38 172 74 87 182 240 128 51 106 175 46 191 249 55 107 66 150 132 7 55 217 49 230 100 81 254 253 168 61 184 79 73 10 185 255 77 183 129 55 141 150 25 129 166 239];\r\nassert(all(uint8(py.hashlib.sha512(py.str(mat2str(J(:))).encode('utf-8')).digest()) == y_correct));\r\n\r\n%% 2 roots, imaginary numbers 3i and 7i\r\nm = 288;\r\nn = 313;\r\nP = [1 -10j -21];\r\nA = 1;\r\ng = 1/5;\r\nJ = visComplexFunctions(m,n,P,A,g);\r\ny_correct = [155 34 217 156 139 224 158 245 214 150 110 149 103 106 146 214 68 192 63 203 244 145 24 159 132 106 167 74 108 220 189 69 167 243 205 168 124 65 224 166 110 190 235 137 190 126 26 154 137 95 8 107 22 206 231 21 68 20 62 190 101 169 210 213];\r\nassert(all(uint8(py.hashlib.sha512(py.str(mat2str(J(:))).encode('utf-8')).digest()) == y_correct));\r\n\r\n%% 3 roots, real and complex\r\nm = 501;\r\nn = 520;\r\nP = [1 0 0 8];\r\nA = 1.5;\r\ng = 1/10;\r\nJ = visComplexFunctions(m,n,P,A,g);\r\ny_correct = [141 102 223 146 20 110 62 97 40 118 21 154 195 204 17 85 153 239 59 60 187 153 114 248 98 54 81 46 164 187 217 229 160 66 138 55 134 248 132 200 101 175 5 113 23 179 22 133 234 106 81 71 121 156 11 197 55 172 13 60 92 190 227 222];\r\nassert(all(uint8(py.hashlib.sha512(py.str(mat2str(J(:))).encode('utf-8')).digest()) == y_correct));\r\n\r\n%% 6 roots\r\nm = 333;\r\nn = 456;\r\nP = [2     3     7     5     4     9     6];\r\nA = 1;\r\ng = 1/100;\r\nJ = visComplexFunctions(m,n,P,A,g);\r\ny_correct = [33 121 184 78 3 160 247 95 87 56 130 105 13 207 68 54 95 82 167 247 130 84 208 214 32 51 71 216 122 33 66 98 225 133 161 229 40 120 156 108 66 65 168 201 216 212 210 35 209 179 13 44 163 54 27 15 193 241 139 165 135 35 133 116];\r\nassert(all(uint8(py.hashlib.sha512(py.str(mat2str(J(:))).encode('utf-8')).digest()) == y_correct));\r\n\r\n%% 10th roots of unit\r\nm = 400;\r\nn = 400;\r\nP = [1, zeros(1,9), -1];\r\nA = 2;\r\ng = 1/10;\r\nJ = visComplexFunctions(m,n,P,A,g);\r\ny_correct = [125 241 216 228 94 158 103 189 54 61 152 118 211 211 55 71 69 29 197 245 63 208 134 79 56 227 95 120 228 241 180 29 135 141 148 37 1 9 197 227 119 73 78 32 245 119 155 33 230 131 13 88 94 178 60 131 222 151 23 204 69 10 119 71];\r\nassert(all(uint8(py.hashlib.sha512(py.str(mat2str(J(:))).encode('utf-8')).digest()) == y_correct));\r\n\r\n%% 50 roots\r\nm = 345;\r\nn = 345;\r\nP = [23.5333 71.8885 61.0979 15.3443 -63.4155 -52.0136 77.3024 -94.2652 -2.0197 -66.4146 95.7361 42.5389 0.0943 -5.7823 -88.0762 36.3944 -91.5138 -85.7109 4.33 -80.654 63.6297 63.5094 44.4879 -70.0269 31.9211 3.719 94.5949 29.7983 60.0661 -9.2405 -13.5217 65.0628 -83.306 -73.3658 -65.3223 -21.8124 66.2759 60.6729 -87.9058 -20.1484 5.3752 -16.6401 31.372 25.5947 -41.6032 -13.6698 -96.9026 96.8127 -66.5663 -78.7567 -25.5181];\r\nA = 4.2;\r\ng = 1/70;\r\nJ = visComplexFunctions(m,n,P,A,g);\r\ny_correct = [74 14 97 210 12 6 2 10 1 14 52 179 120 217 104 175 208 234 172 69 215 119 4 191 68 248 23 75 25 254 172 191 219 51 154 44 31 96 164 199 194 25 237 79 254 3 216 8 63 244 125 112 208 154 222 68 249 101 200 220 211 113 247 17];\r\nassert(all(uint8(py.hashlib.sha512(py.str(mat2str(J(:))).encode('utf-8')).digest()) == y_correct));\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":7,"created_by":443343,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":1,"test_suite_updated_at":"2020-10-22T06:11:23.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-10-20T03:40:13.000Z","updated_at":"2020-10-22T06:13:05.000Z","published_at":"2020-10-20T05:34:43.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eUsing curves or lines, we can easily spot roots from n-degree polynomials in 2D: wherever they cross the real line, we know there is a root. However, as we are well aware, roots can also be complex numbers. In this case, plotting curves no longer seem adequate since they won't be found at the real line. That's when coloring comes into place; by painting the 2D plane, we can visualize where complex or real roots are and get a sense of what's happening in a function.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThis problem is the second part of a previous one; if you haven't solved it, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/46833-roots-bloody-roots-part-1-2\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eProblem 46833\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, please do it before proceeding. Finally, we will color the complex plane following the roots of any given polynomial using the color space HSV.  The same rules for HSV-space apply, but instead of using the cube root for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eV\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, we will allow the user to choose its \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Gamma_correction\\\"\u003e\u003cw:r\u003e\u003cw:t\u003egamma correction\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e parameters used to the\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.codecademy.com/articles/normalization#:~:text=Min%2Dmax%20normalization%20is%20one,decimal%20between%200%20and%201.\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e Min-max normalization\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e of the distance, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eV = A\\\\sqrt[\\\\gamma]{\\\\frac{\\\\beta-\\\\min(\\\\beta)}{\\\\max(\\\\beta)-\\\\min(\\\\beta)}}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e , in which \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA \\\\in \\\\mathbb{R} \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e0 \\\\le \\\\gamma \\\\le 1, ~\\\\gamma\\\\in\\\\mathbb{R}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Once the three values are computed, convert them to RGB space using the function \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ehsv2rgb \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eround them to 4 decimal places\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. Moreover, instead of plotting a matrix, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e x \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e x 3, centered at the origin, we will center it at the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Minimum_bounding_box\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ebounding-box\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e enveloping the roots of a given polynomial \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eP\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e; horizontal axis imaginary and vertical axis real. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAny line has only one root, which should always be at the center of the image (generating a figure similar to those obtained at the previous problem). As another example of expected output, this is the result for the 10th roots of unit given \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eP=[1,0,0,0,0,0,0,0,0,0,-1]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\gamma=0.1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA=2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003em=400\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en = 400\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"508\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"574\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"middle\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ePolynomials may have any number of roots between 1 and the maximum that MATLAB can compute (or Cody), which means one or two dimensions may have thickness 0. Your algorithm must take this case into account by calculating the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Minimum_bounding_box\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eminimum bounding-box\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e and doubling the distance from the box's center to its edges. If one size has thickness zero, use the same thickness as the non-zero one, and if both are zero, use a square of side 2 (a distance of two times one). The center of the box can be found using \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\left ( \\\\frac{\\\\min(a)+\\\\max(a)} {2},  \\\\frac{\\\\min(b)+\\\\max(b)} {2}  \\\\right )\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, in which \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea+bi \\\\in \\\\mathbb{C}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Since we render a matrix of size \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, your algorithm should convert each pixel position to the complex roots' \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Minimum_bounding_box\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ebounding box\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e interval. This operation is linear, and you may use the function\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e interp1.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e All values obtained by interpolation must also be rounded to 4 decimal places.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGood luck!\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eNote-1:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eThis problem is inspired by a 3Blue1Brown's video: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.youtube.com/watch?v=b7FxPsqfkOY\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ehttps://www.youtube.com/watch?v=b7FxPsqfkOY\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, and I recommend that you watch his video if you haven't already. However, it is not required that you do to solve this problem.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eNote-2:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e This problem was last updated 22/08/2020. Thanks to Svyatoslav's feedback. Please, let me know if anyone run into issues. 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