Problem 49938. Splitting Triangle - Problem the third

Created by Doddy Kastanya

Solve Later

{"parts":[{"partUri":"/matlab/document.xml","contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?><w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Consider an equilateral triangle sitting in Quadrant I as depicted in an example below:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:customXml w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"230\"/><w:attr w:name=\"width\" w:val=\"243\"/><w:attr w:name=\"verticalAlign\" w:val=\"baseline\"/><w:attr w:name=\"altText\" w:val=\"\"/><w:attr w:name=\"relationshipId\" w:val=\"rId1\"/></w:customXmlPr></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>This triangle is to be split into two regions (e.g., red and blue). Given the ratio between the two regions and the side of the equilateral triangle, determine the radius of the circle defining the red region. The ratio between the regions (red to blue) is presented through the first two entries in the input. For example, if the ratio is 3 to 5, then these two numbers will be the first two entries in the input. The last entry is the side of the equilateral triangle. Please also consider the following possible configuration:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:customXml w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"-1\"/><w:attr w:name=\"width\" w:val=\"-1\"/><w:attr w:name=\"verticalAlign\" w:val=\"baseline\"/><w:attr w:name=\"altText\" w:val=\"\"/><w:attr w:name=\"relationshipId\" w:val=\"rId2\"/></w:customXmlPr></w:customXml></w:p></w:body></w:document>","relationship":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/image","target":"/media/image1.jpeg","relationshipId":"rId1"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/image","target":"/media/image2.jpeg","relationshipId":"rId2"}]},{"partUri":"/media/image1.jpeg","contentType":"image/jpeg","content":"data:image/jpeg;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/4RE6RXhpZgAATU0AKgAAAAgABAE7AAIAAAAlAAAISodpAAQAAAABAAAIcJydAAEAAABKAAAQ6OocAAcAAAgMAAAAPgAAAAAc6gAAAAgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEtBU1RBTllBIERvZGR5IC0gKE5TJkwpIC0gS0lORUNUUklDUwAAAAWQAwACAAAAFAAAEL6QBAACAAAAFAAAENKSkQACAAAAAzUwAACSkgACAAAAAzUwAADqHAAHAAAIDAAACLIAAAAAHOoAAAAIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAyMDIxOjAxOjIyIDEwOjQ3OjQwADIwMjE6MDE6MjIgMTA6NDc6NDAAAABLAEEAUwBUAEEATgBZAEEAIABEAG8AZABkAHkAIAAtACAAKABOAFMAJgBMACkAIAAtACAASwBJAE4ARQBDAFQAUgBJAEMAUwAAAP/hCztodHRwOi8vbnMuYWRvYmUuY29tL3hhcC8xLjAvADw/eHBhY2tldCBiZWdpbj0n77u/JyBpZD0nVzVNME1wQ2VoaUh6cmVTek5UY3prYzlkJz8+DQo8eDp4bXBtZXRhIHhtbG5zOng9ImFkb2JlOm5zOm1ldGEvIj48cmRmOlJERiB4bWxuczpyZGY9Imh0dHA6Ly93d3cudzMub3JnLzE5OTkvMDIvMjItcmRmLXN5bnRheC1ucyMiPjxyZGY6RGVzY3JpcHRpb24gcmRmOmFib3V0PSJ1dWlkOmZhZjViZGQ1LWJhM2QtMTFkYS1hZDMxLWQzM2Q3NTE4MmYxYiIgeG1sbnM6ZGM9Imh0dHA6Ly9wdXJsLm9yZy9kYy9lbGVtZW50cy8xLjEvIi8+PHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9InV1aWQ6ZmFmNWJkZDUtYmEzZC0xMWRhLWFkMzEtZDMzZDc1MTgyZjFiIiB4bWxuczp4bXA9Imh0dHA6Ly9ucy5hZG9iZS5jb20veGFwLzEuMC8iPjx4bXA6Q3JlYXRlRGF0ZT4yMDIxLTAxLTIyVDEwOjQ3OjQwLjQ5ODwveG1wOkNyZWF0ZURhdGU+PC9yZGY6RGVzY3JpcHRpb24+PHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9InV1aWQ6ZmFmNWJkZDUtYmEzZC0xMWRhLWFkMzEtZDMzZDc1MTgyZjFiIiB4bWxuczpkYz0iaHR0cDovL3B1cmwub3JnL2RjL2VsZW1lbnRzLzEuMS8iPjxkYzpjcmVhdG9yPjxyZGY6U2VxIHhtbG5zOnJkZj0iaHR0cDovL3d3dy53My5vcmcvMTk5OS8wMi8yMi1yZGYtc3ludGF4LW5zIyI+PHJkZjpsaT5LQVNUQU5ZQSBEb2RkeSAtIChOUyZhbXA7TCkgLSBLSU5FQ1RSSUNTPC9yZGY6bGk+PC9yZGY6U2VxPg0KCQkJPC9kYzpjcmVhdG9yPjwvcmRmOkRlc2NyaXB0aW9uPjwvcmRmOlJERj48L3g6eG1wbWV0YT4NCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgPD94cGFja2V0IGVuZD0ndyc/Pv/bAEMABwUFBgUEBwYFBggHBwgKEQsKCQkKFQ8QDBEYFRoZGBUYFxseJyEbHSUdFxgiLiIlKCkrLCsaIC8zLyoyJyorKv/bAEMBBwgICgkKFAsLFCocGBwqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKv/AABEIAOYA8wMBIgACEQEDEQH/xAAfAAABBQEBAQEBAQAAAAAAAAAAAQIDBAUGBwgJCgv/xAC1EAACAQMDAgQDBQUEBAAAAX0BAgMABBEFEiExQQYTUWEHInEUMoGRoQgjQrHBFVLR8CQzYnKCCQoWFxgZGiUmJygpKjQ1Njc4OTpDREVGR0hJSlNUVVZXWFlaY2RlZmdoaWpzdHV2d3h5eoOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4eLj5OXm5+jp6vHy8/T19vf4+fr/xAAfAQADAQEBAQEBAQEBAAAAAAAAAQIDBAUGBwgJCgv/xAC1EQACAQIEBAMEBwUEBAABAncAAQIDEQQFITEGEkFRB2FxEyIygQgUQpGhscEJIzNS8BVictEKFiQ04SXxFxgZGiYnKCkqNTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqCg4SFhoeIiYqSk5SVlpeYmZqio6Slpqeoqaqys7S1tre4ubrCw8TFxsfIycrS09TV1tfY2dri4+Tl5ufo6ery8/T19vf4+fr/2gAMAwEAAhEDEQA/APpGiiigAooooAKKKKACiiigAooooAKKKKAMHwN/yIejf9eifyrerB8Df8iHo3/Xon8q3qxofwY+i/I58N/Ah6L8gooorY6AooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAMHwN/yIejf9eifyrerB8Df8iHo3/Xon8q3qxofwY+i/I58N/Ah6L8gooorY6AooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAo6xrFpoemve37sI14VI0LvI3ZVUcknHSn6TqMer6LY6lCjRx3lvHcIj9VDqGAPvzUl7G02n3EcYy7xMqj1JFUfC1nPp3g/RrG8j8u4trCCGVNwO11jUEZHB5HagCt4G/5EPRv+vRP5VvVyPgHQdHg8M6TqkGlWMeoSWi77tLZBK2RzlwMn8666saH8GPovyOfDfwIei/IKKKK2OgKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigDB8Df8iHo3/Xon8q3qwfA3/Ih6N/16J/Kt6saH8GPovyOfDfwIei/IKKKK2OgKKKKAEZlRSzkKqjJJOABWB4Y8deG/GbXY8M6rFfmzfZOEVhtOSARkDIODgjIrzv8AaK+IDeG/CKeG9Jdjq2uAx/u/vRwdGPHOWPyD1G7uBXh/g7UNS+DXjbSNbuWaSwvI/J1CNV+6pwXTgnJXhge5U9s1pGnOUXNLRbmUq1OE405PWWy72PtSiorW6gvbOG6tJVmt541kikQ5V1YZBB9CDmpazNQooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAMHwN/yIejf9eifyrerB8Df8iHo3/Xon8q3qxofwY+i/I58N/Ah6L8gooorY6Aqpqup2mi6TdanqUyw2lpE000jfwqoyat187ftI+NJ9T1Cy+HWgvumndJtQ2np3jjbHYf6w8dAh9aaTbshSkoq72PPrC/vfiT8R7/xpq6AW8cm21hJBEeB8iYx/CpyTx8xB9a6PxFokXiDRJrGUhWb5on/uOOh/ofYmp9I0yDRtJt7C1z5cK4yerHqT+JJNXa+6wmChRw3spLfc/MMfmU8RjPbwduX4fRf5m3+zb48mu9PuvA2tvtv9JDNaBzy0QbDpnvsYj8D6CveK+NfFBvvB/irTvG/h/clzbygXGCcHjAz/ALLLlT26epr618MeIrHxZ4Zsdc0p91texCRQeqHup9wcg/SvjcVh5Yeq6cun5H6JgsXHF0I1o9d/J9TVooormOwKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooqhNrulW+qx6ZPqNtHfS42W7SgO2c4498HHrg0AX6Kqanq1hotkbzVryGztgwUyzOFUE9Bk0um6pY6xYreaVdw3ds5IWWFwykg4PIoAy/A3/Ih6N/16J/Kt6sHwN/yIejf9eifyrerGh/Bj6L8jnw38CHovyCiiitjoOc8e+MbPwJ4MvtdvipMKbYIieZpjwiD6nr6AE9q+VvAtjc6tfXvi7W2+0X1/M7RyPg9Sd7j0ycqOmAD2NdH8aPFD/En4mweEtJlY6Ro0jfaZFPDyg4kccH7v3F989jWnFFHBCkMKBI41CoijAUAYAFe/k+E9pP28tlt6/8A+V4hx/sqX1aD1lv6f8AB/IfRRRX1h8EV72yt9RsZbS8jWWCZdrqf88EdQexpf2fvFtx4Q8Z3ngDXZcW125ksHbAHm+g56OvP1AHUmp6434g6NNPZQ63prNHfaYRJ5kZw2wHOQQM5U/MORgbq8bNsJ7al7SO8fyPo8gx/wBXr+xm/dn+D6fft9x9i0Vxvws8dw/ELwLa6sNq3kf7i9jX+CZQMkexyGH1x2rsq+NP0QKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArzXWJ4Uh8SaQ0qLrV5rNvLaQsf3ko/ceXIg6lVCHkcLsbOMGvSqKAOT8WXGmXsWmPPrj6bDb6mQbuFUKpKsci7HZwVTk9WB+YAdSKu+DdRu9T0SWW7uftqJdSxW16UVftUKthZPlAU55GVABxkda36KAPO/BNvd2Wgabf2+j6lcs1qoG3WWaJhjqIXkCL+XFdT/AMJPHDn+0dL1WwGM7pLUyqPq0RcD6kgUzwN/yIejf9eifyrermoRl7KNn0X5FYWrSdCClTWy2bT2821+BWstRstSh83T7uG6jBwWhkDAH0OOhrg/jZ8Qv+EA8Ayy2Uirq2oZtrEZ5QkfNKB/sA59Mlc9a7HU9F0u633l0i200akm9ifypIwOSfMGDj2PHrXyTrmux/E/4kG9vr25udM0k+TbGdExLEGJUsAAAWPJ4ORxkcVvG/MlLS/Xp8zd0o1It0LuSTfLbV2V9Lb/AIehd8A6A+kaKbq8B+23xEsm7O5V/hU5PXkk9Dk4PSuqoznkc570V+j4elCjSjCGyPxjF16mIryqVN2/u8vkFFFFbHMFIQGUhhkHgg96WigDm/hz4iPwj+LBsrqQL4f1wqjs2QsXzHYxJPVCSCeflbPfj63r5L8Z+HV8Q6C6Rj/S7fMtuQBljjlOex/DkA9q9Z/Z8+In/CYeCRpWozBtW0dVifcfmlh6I/vj7p9wD3r4bMsJ9WrNL4Xqv8vkfp+T4765hk5P3o6P/P5nrdFFFeaewFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAYPgb/kQ9G/69E/lW9WD4G/5EPRv+vRP5Ve1/XLHw14fvdZ1aTyrOyiMsrAZJA7AdyTgAepFY0P4MfRfkc+G/gQ9F+R5B+0l4+Oj+GovCOkyM2payP36xn5kt84xgf3z8vuA1eR6JpSaPpUdqvL/AH5WBJDOQMke3AH4Vn2+o3vjnxtqXjHWUw08p8iPOVTjAUeyqAOnJOeoroK4cZVu+RH6Vwxl3s6bxdRay0Xp3+f5epcsr9rZgr/NEeo7j6VtqyuoZDlSMgjvXMVoaZeeW/kyEbGPB9DXuZFnEqE1hqz9x7eT/wAvyPnOOuEKeOoyzHBRtVjrJL7a/wDkl+O29jYooor9DP55CiiigArjG1W6+F/xQsfFunK5sLuTZfRLnDgn94vpkj5l5+8D2FdnWfrmkw65o1xYXGAJV+R8Z2MOjfgfz6Vw4/CrE0XFbrVHqZXjngsSpv4Xo/T/AIB9N2F/bapp1vfafMs9rcxrLFKvR1IyDVivn79m3xvPCt18P9fJivLJnlsRIRkp1eMeuDlgecgnsBX0DXwbTTsz9STTV0FFFFIYUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAGD4G/5EPRv+vRP5V4P+0f41l17XrP4f6HICsLia/bd8rSYyqEjsq5Y9eSO616dqHjW38AfAm01ucoZ1skis4n/AOWs7Kdi/Tgk+ymvmnwvaXdxLda/q0rzX2pM0jSSZ3EM25mP+8eenQDHWuNVFTw8ZeS/I68iwMsfOlSW1k35K39I3LO0isLKK1txiOJQoz1Pufc9anooryG23dn7RCEYRUIqyQUdKKKCzobOf7Raq5+90b61PWTo8mJJIyRyNwrWr9YyfFPFYKE5brR+qP5O4wyuOV5zWoU1aD96PpLW3yd18gooor1j5MKKKKAOJ8YQXvh3XLDxroLmK8sZUMpHfBwrH1B+4R3BA9a+rfBniqy8a+EbDXtNOIruPLRk8xOOGQ+4II9+vevA7q2hvbSW2uU8yGZCjqTjIIwelVvgX4qm8BfES58DavIx0/VZQ1nI5IVZsfIQOnzgbTj+IAV8jnGE9nU9tHaW/r/wT7/h7H+2pfV5v3o7en/A/wAj6hooorwj6gKKKKACiiigAoqh/Z9z/wBBi9/74g/+N0f2fc/9Bi9/74g/+N1j7SX8j/D/ADOf2s/+fb/8l/zL9FUP7Puf+gxe/wDfEH/xuj+z7n/oMXv/AHxB/wDG6PaS/kf4f5h7Wf8Az7f/AJL/AJlm7u4LCynvLyVYbe3jaWWRuiIoySfoBU1ZF/oJ1PTbmwvtUvZba6ieGaPEK7kYFWGRHkZBPSrH9n3P/QYvf++IP/jdHtJfyP8AD/MPaz/59v8A8l/zL9FUP7Puf+gxe/8AfEH/AMbo/s+5/wCgxe/98Qf/ABuj2kv5H+H+Ye1n/wA+3/5L/mX6Kof2fc/9Bi9/74g/+N0f2fc/9Bi9/wC+IP8A43R7SX8j/D/MPaz/AOfb/wDJf8y/RVD+z7n/AKDF7/3xB/8AG6ZNpM88LxS6vfFJFKsAsIyCMHkR0e0l/I/w/wAw9rP/AJ9v/wAl/wAz5C8b+ILjxz4g0Xw4pePS9Cs1V1yBvcgGR/x+VR6Yz3NaSIsaKkaqiKMKqjAA9AK7LT/gdqmtW8etabc6RapfxJJhmvFfGBgMUmAP5Vb/AOFAeJP+gtpP/f2//wDj9edyVKtOHuuyS7f5nv8AD+e08twii6EpSaWt47W06nCUV3f/AAoDxJ/0FtJ/7+3/AP8AH6P+FAeJP+gtpP8A39v/AP4/U/VanZ/h/mfRf65R/wCgaX3x/wAzhKK7v/hQHiT/AKC2k/8Af2//APj9H/CgPEn/AEFtJ/7+3/8A8fo+q1Oz/D/MP9co/wDQNL74/wCZx2nOEv4898j8xW6GViQpBKnBAPQ9f61qj4BeJVOV1fSAex8y+OPzn/Xt2pV+AnidGdk1nS1LncxE2oDccAZP7/ngAfhX0eU5jLL6TpSpt3d9129fI/OOLYviDFQxVODg4x5bPlezbT+LzZlUVr/8KI8Vf9BzTP8Av/qH/wAfo/4UR4q/6Dmmf9/9Q/8Aj9ez/rCv+fMvvj/mfG/6u1+/5f8AyRkUVr/8KI8Vf9BzTP8Av/qH/wAfo/4UR4q/6Dmmf9/9Q/8Aj9H+sK/58y++P+Yf6u1+/wCX/wAkZFch8QdDN7pI1WzGy+0794HXAJjHJ59vvD8cda9G/wCFEeKv+g5pn/f/AFD/AOP0jfAbxQ6lX1rS2Vhggz6gQR/3/rDEZ3CvSdOVGWvnH/M6sJkuKwteNaD29PmviO++DvxEg+IPgeCaWUHVrFFh1CPvv5Ak+jhSfrkdq7+vMPhj8I38Bm+na9ht7q62p/xLA+woOfmExfJyeCMY59a9A/s+5/6DF7/3xB/8br532kv5H+H+Z9d7Wf8Az7f/AJL/AJl+iqH9n3P/AEGL3/viD/43R/Z9z/0GL3/viD/43R7SX8j/AA/zD2s/+fb/APJf8y/RVD+z7n/oMXv/AHxB/wDG6KPaS/kf4f5h7Wf/AD7f/kv+ZfooorY6AooqnqlndXtn5NjqU2my7gfPhjjdsemHVh+lAGVd+L4LTUZ4fsNzLaWtxHa3V8hTy4ZZNuAQW3EDzEyQCBu9ji7r2t/2HaQSJZzXs9zOtvDbwsis7EE9XIUYCk8ntXLXegaz9j1TQjbS3kWpX0M/9qGSJFVMReYXXIO/MbYCrg7l6c42vENo2q29ob3wyuqwW96xe1meMsV2solRWYI33vusQcE8ZGKANnTbq4vLFZrywm0+Vic28zo7Lz1yjMvP1q1WB4N0u40nRJYbi3+xxyXUs1vZBg32WJmysfykqMdcKSBnA4Fb9ABRRRQAUUUUAYPgb/kQ9G/69E/lW9WD4G/5EPRv+vRP5VvVjQ/gx9F+Rz4b+BD0X5BRRRWx0BRRRQBz134vgtNRnh+w3Mtpa3EdrdXyFPLhlk24BBbcQPMTJAIG72OLuva3/YdpBIlnNez3M628NvCyKzsQT1chRgKTye1c1qeiarMus6NFp7y22q6jFcrfLLGEijPl+YGBbduHltjCkHcvI5xreIbRtVt7Q3vhldVgt71i9rM8ZYrtZRKiswRvvfdYg4J4yMUAbOm3VxeWKzXlhNp8rE5t5nR2XnrlGZefrVqsDwbpdxpOiSw3Fv8AY45LqWa3sgwb7LEzZWP5SVGOuFJAzgcCt+gAooooAKKKKAMbR/FFhrur6jY6d5jiwWIvOUISTeXHyE/eA2HkcelbNYen6ddQeNtav5YttrdWtpHDJuB3Mhm3DGcjG9evrW5QAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAGD4G/5EPRv+vRP5VvVg+Bv+RD0b/r0T+Vb1Y0P4MfRfkc+G/gQ9F+QUUUVsdAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAGD4G/5EPRv+vRP5VvVg+Bv+RD0b/r0T+Vb1Y0P4MfRfkc+G/gQ9F+QUUUVsdAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQBT1TVbXR7P7VfGYRbgv7m3kmbJ/wBlFJ/HFcHfXsl5p+teJbe6vPtVlqUEdlGJJI1SLEB8sxHA+cSNkMufmHTAx6RWTceGdJutUOoT2zNO0kcrgTyCN3T7jtGG2MwwMEgn5V9BgAh8YwX134YntdLIFzcSRRjNwYPlMi7xvHKnbu6ZPoKp+DDHayanpT2Ulpd2cqGZTqMt6jh0BVlkl+YcAgrgYI75zWxe6Hp+ow3MV7C8qXTo8gMzjDJjayEH5CCoIK4ORnrT9M0iy0hJlsY3Bnk8yWSWV5XkbAGWdyWPAAGTwAAKAOe8Aw6wPDOkyT31i+nm0XZAlk6yrxxmQykH/vgV11YPgb/kQ9G/69E/lW9WND+DH0X5HPhv4EPRfkFFFFbHQFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQBg+Bv+RD0b/r0T+Vb1FFY0P4MfRfkc+G/gQ9F+QUUUVsdAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAH/9k=","relationship":null},{"partUri":"/media/image2.jpeg","contentType":"image/jpeg","content":"data:image/jpeg;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/4RE6RXhpZgAATU0AKgAAAAgABAE7AAIAAAAlAAAISodpAAQAAAABAAAIcJydAAEAAABKAAAQ6OocAAcAAAgMAAAAPgAAAAAc6gAAAAgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEtBU1RBTllBIERvZGR5IC0gKE5TJkwpIC0gS0lORUNUUklDUwAAAAWQAwACAAAAFAAAEL6QBAACAAAAFAAAENKSkQACAAAAAzM1AACSkgACAAAAAzM1AADqHAAHAAAIDAAACLIAAAAAHOoAAAAIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAyMDIxOjAxOjIyIDEwOjQ5OjI0ADIwMjE6MDE6MjIgMTA6NDk6MjQAAABLAEEAUwBUAEEATgBZAEEAIABEAG8AZABkAHkAIAAtACAAKABOAFMAJgBMACkAIAAtACAASwBJAE4ARQBDAFQAUgBJAEMAUwAAAP/hCztodHRwOi8vbnMuYWRvYmUuY29tL3hhcC8xLjAvADw/eHBhY2tldCBiZWdpbj0n77u/JyBpZD0nVzVNME1wQ2VoaUh6cmVTek5UY3prYzlkJz8+DQo8eDp4bXBtZXRhIHhtbG5zOng9ImFkb2JlOm5zOm1ldGEvIj48cmRmOlJERiB4bWxuczpyZGY9Imh0dHA6Ly93d3cudzMub3JnLzE5OTkvMDIvMjItcmRmLXN5bnRheC1ucyMiPjxyZGY6RGVzY3JpcHRpb24gcmRmOmFib3V0PSJ1dWlkOmZhZjViZGQ1LWJhM2QtMTFkYS1hZDMxLWQzM2Q3NTE4MmYxYiIgeG1sbnM6ZGM9Imh0dHA6Ly9wdXJsLm9yZy9kYy9lbGVtZW50cy8xLjEvIi8+PHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9InV1aWQ6ZmFmNWJkZDUtYmEzZC0xMWRhLWFkMzEtZDMzZDc1MTgyZjFiIiB4bWxuczp4bXA9Imh0dHA6Ly9ucy5hZG9iZS5jb20veGFwLzEuMC8iPjx4bXA6Q3JlYXRlRGF0ZT4yMDIxLTAxLTIyVDEwOjQ5OjI0LjM0NzwveG1wOkNyZWF0ZURhdGU+PC9yZGY6RGVzY3JpcHRpb24+PHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9InV1aWQ6ZmFmNWJkZDUtYmEzZC0xMWRhLWFkMzEtZDMzZDc1MTgyZjFiIiB4bWxuczpkYz0iaHR0cDovL3B1cmwub3JnL2RjL2VsZW1lbnRzLzEuMS8iPjxkYzpjcmVhdG9yPjxyZGY6U2VxIHhtbG5zOnJkZj0iaHR0cDovL3d3dy53My5vcmcvMTk5OS8wMi8yMi1yZGYtc3ludGF4LW5zIyI+PHJkZjpsaT5LQVNUQU5ZQSBEb2RkeSAtIChOUyZhbXA7TCkgLSBLSU5FQ1RSSUNTPC9yZGY6bGk+PC9yZGY6U2VxPg0KCQkJPC9kYzpjcmVhdG9yPjwvcmRmOkRlc2NyaXB0aW9uPjwvcmRmOlJERj48L3g6eG1wbWV0YT4NCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgPD94cGFja2V0IGVuZD0ndyc/Pv/bAEMABwUFBgUEBwYFBggHBwgKEQsKCQkKFQ8QDBEYFRoZGBUYFxseJyEbHSUdFxgiLiIlKCkrLCsaIC8zLyoyJyorKv/bAEMBBwgICgkKFAsLFCocGBwqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKv/AABEIAN4A7QMBIgACEQEDEQH/xAAfAAABBQEBAQEBAQAAAAAAAAAAAQIDBAUGBwgJCgv/xAC1EAACAQMDAgQDBQUEBAAAAX0BAgMABBEFEiExQQYTUWEHInEUMoGRoQgjQrHBFVLR8CQzYnKCCQoWFxgZGiUmJygpKjQ1Njc4OTpDREVGR0hJSlNUVVZXWFlaY2RlZmdoaWpzdHV2d3h5eoOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4eLj5OXm5+jp6vHy8/T19vf4+fr/xAAfAQADAQEBAQEBAQEBAAAAAAAAAQIDBAUGBwgJCgv/xAC1EQACAQIEBAMEBwUEBAABAncAAQIDEQQFITEGEkFRB2FxEyIygQgUQpGhscEJIzNS8BVictEKFiQ04SXxFxgZGiYnKCkqNTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqCg4SFhoeIiYqSk5SVlpeYmZqio6Slpqeoqaqys7S1tre4ubrCw8TFxsfIycrS09TV1tfY2dri4+Tl5ufo6ery8/T19vf4+fr/2gAMAwEAAhEDEQA/APpGiiigAooooAKKKKACiiigAooooAwfGn/IsN/192n/AKUx1vVg+NP+RYb/AK+7T/0pjrerGP8AGl6L82c8f48vRfnIKKKK2OgKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAMHxp/wAiw3/X3af+lMdb1YPjT/kWG/6+7T/0pjrerGP8aXovzZzx/jy9F+cgooorY6AooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArB8ReJX0O606CLT57k3l3BA8wG2KBZJAmSx6nnhRk9zgVvVkeI9Jn1e0sorZ41aDULa6bzCQCscquwGAecA496AK3jiRIvCkskrqiJdWrMzHAUC4jySa09M1rStajeTRtTs9QSM7Xa0nWUKfQlScVneNP+RYb/r7tP/SmOt6sY/xpei/NnPH+PL0X5yCiiitjoCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigDnvHKs/hOVY38tzc2oV8Z2n7RHzirH9m64v3PEAb/rpZIf5EVF40/5Fhv+vu0/9KY63q5+VOs/RfmyaVaVOtJJLZbpPrLumY3leJouRdaTdY/hNtJBn8d7/wAqaNW1u3bF/wCHmkXu+n3aSgfg4jP5AmtuiteTszs+sJ/HBP71+TS/AyLfxRpU0whmnaynJwIb6Nrdm/3Q4G78M1r1HPbw3ULQ3MUc0TDDJIoZT9QayG8NJbYbQb2fSmXpFGd8B9vKb5R/wHafej315hbDz2bj66r71Zr7mbdYXjLxhpXgXwzPrmuO4t4iFWOMZeVz0RR6n+hPanjVr7TeNes8xD/l9slZ4/qycun/AI8B3YV81/GLxRJ8T/ifB4Z0mYHRdHJMkqOMStx5kgOOcZCL1Gcno3GlNOrJQjuznxEfq9N1anwrr0/ry3PpLwf4v0rxx4bh1vQpHa2lYoUkADxsOqsATg9D17ityvlT4PeKH+GPxPl8LanO39i606iB3biOQnEbn0z9xjx0B6CvquqnCVOThLdGNOpGrBVIO6eoUUUVBoFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAYPjT/kWG/6+7T/ANKY63qwfGn/ACLDf9fdp/6Ux1vVjH+NL0X5s54/x5ei/OQUUUVsdAUUUyaaO3heaeRYoo1Lu7sAqqBkkk9BQB518b/iF/wgPgGU2M4j1jUs29jg/Mn9+Qf7oI/4EVr578GxXWj6Yr3bGSafDOHB3IvZMnnjJP1OO1N8W+JW+K3xUu9XfLaNp+IrOJxwYwTtyp7sdzHI/wBk9q064q+KnRmnSdpLW59lkGTUsZQqTxceaEtLPZ938nt2eu6IfGejx+JNBNzZBjfWQMkYGdxH8S4HXOMj3A6ZNe8/A74gnx74Aja9l36tppFtebjkvx8kn/AgOvqrV4fBPLbTLNbyPFKhyro2Cp9Qaz/COuv8L/iVa61AxbSr0tHf26ADERPzFVHZCQwAx0x0rqlmSxck6itPq+j8/Jnl4vhSWU05Swsuale6T3jfpfqr/Ndb7n2RRTIJorm3jnt5FkilUOjqchlIyCD6Yp9WeCFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUVj6X4p0vWLsW9lJMWkjM0LSQPGtxGCAXjZgA6gkcj+8D0INJq3iix0e+js54b64uHj83y7KyluCqZxk7FOOfX0oAi8af8AIsN/192n/pTHW9XP+Mm3+FSwBAa6tDgjB/4+I+1dBWMf40vRfmznj/Hl6L85BRRRWx0BXhf7SnxAbStBi8G6Q7NqOrqGuRHyUgzgL9XYY+gPqK9j8Q67ZeGfDt9rWqPstbGFpZMdTjoo9ycAe5FfG1pf33jXxlqPjLWv9ZcSt5EeSQg6AKf7qr8o9ee4rOpUVOLkztwODnjcRGhDrv5Lqy/ommLpGkxWq4Lj5pWB+856n+n0ArQoorwZScndn7JRpQo040oKySsgqlq1gdR02SBGCS/eic/wuOh7/Q+xNXaKE2ndDqU41YOEtmel/s9/EmHUtH/4Q/WJDDqtgzLAkh+/GD9we6nPHpgdq9wr4b11bjw/4jsvE+nZDQyqZduQQRwDnPGRxxjBA7mvr3wJ4uh8XeHLe8V1aZolkJXAEiHo4HbkFSOzKw7An26VRSin3/qx+SZlgpYetOL3jv5rpJevVdH9y6eiiitzyAooooAKKKKACiiigAooooAKKKKACiiigAqG9ha5sLiBDtaWJkBPYkYqaigDgNGNxJL4ZLabf239g6ZKL1XtHUBxGkYjQ4/eElWI2ZGFHqMv8V20M2pXt4lp4hTUZNNjWxn08zhGcGQqhEfCsGcE+b8uD6Bq7yigDl/FMc0ngOOLVFjknaSyW5XAKs3nxbhjpjOa29M0XStFjePRtMs9PSQ7nW0t1iDH1IUDNZ3jT/kWG/6+7T/0pjrerGP8aXovzZzx/jy9F+cgoorkviZ44t/h/wCBb3WZSpuceTZxMf8AWzMPlH0HLH2U1sdB4n+0Z41l8Q+JbPwBok4MMDrLfsp4MuMhCe4RfmI9SO61y1naxWNnFa24xHEoVemT7nHc9T71h+FbO4m+0a7qjyS3+ou0jSyE7mDNuLH3Zuc+mPWujryMXV55cq2R+mcN5d9Ww/1ia96f4Lp9+/3BRRRXGfVBRRRQBBeWkV9Zy2twMxyqVbpke4z3HUe9aXwT8WXXh3xJL4VuZd01vI82ngnHnA4MsA/66IA6gnAdR3JqpXOeKrO4i+z65pbyRX+nurrJGTlVByGHup5+mc9K68NUs+R7P8z5nP8ABOpSWKpq8ob+ceq/rpc+2bW5hvbSK5tZBJDMgdHHcHpUtea/B7xzbeKtBTaVjedWnEI48uUEeeg9gzK49pQO1elV60Xdan5rWpqnO0dnqvT+tH5hRRRVGIUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAYPjT/AJFhv+vu0/8ASmOt6sHxp/yLDf8AX3af+lMdb1Yx/jS9F+bOeP8AHl6L85BXyL8XfFo+JvxRTTLCTzNC0QtGHU/LK2R5j9eckBQR2GfWvZvj38Rf+EH8DtZadLt1jVw0FuQeYY/45PyOB7kHsa+f/C+kf2RpCiVcXM3zy+3ovTsP1JqcRV9nDTc+jyXL/r2KUZfDHV/5fP8AK5roixoqRqqIowqqMAD0Ap1FFeIfrSSSsgooooGFFFFABSEBlIYAg8EEZBpaKBbmT4D8STfDP4lQI7P/AGVczq4XqADlc9ewZl/JscCvtBWDKGUggjII718W+JdIbVtLxAP9KgPmQnOMnuM+4/UCvoj4IePo/GXguK0nZRqGmRRxyqP44yuEf/x1lPuvvXsYerzrz/r8/wBD8uzvL/qk2or3b3Xo+n/br/8ASkel0UUV1nzYUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAYPjT/kWG/6+7T/0pjrYu7uCwsp7u8lWG3t42llkY8IijJJ9gBWP40/5Fhv+vu0/9KY68f8A2lvHrwWNt4F0WbN7qJWS9CMBtiJ+SMnsWYZI9AM8NWK/iy9F+bMIJvESS7R/OR5Xrmv3PxQ+Jl54mugyadauIrKFs4VFzsUe+fnb3bGMGteqWk6ZFpGmxWkR3beXfABdj1P9PoAKu15Ner7Sd+h+yZPl6wGFUH8T1fr2+QUUUVgeyFFFFABRRRQAUUUUAFZ+l+Jpfhn4+0vxFaB3tJWeC9gU/fiZgzAfiSw9x6VoUr6Pa67pd/YXUYLyQ/uJT1gkDKQ49eAQR6Ma68FGc68YQ3Z8/wARqlHLKtWrtFXv80z60tLuC/soLuzlWa3uI1likU8OjDII9iDU1eB/s1+O5JbO78B626x3umFmswzDLIGO+P3Ktzx2J7LXvlew01oz8oTTV0FFFFAwooooAKKof2Nbf89b3/wPn/8Ai6P7Gtv+et7/AOB8/wD8XWPNW/lX3v8AyOfmr/yr73/8iX6q3eoQWVzZQTlg99OYIcDOXEbyc+nyxtUX9jW3/PW9/wDA+f8A+LqOTw/YTSRPN9qkeF98TNeTExttK7lO7g7WYZHYkd6Oat/Kvvf+Qc1f+Vfe/wD5E06Kof2Nbf8APW9/8D5//i6P7Gtv+et7/wCB8/8A8XRzVv5V97/yDmr/AMq+9/8AyJfoqh/Y1t/z1vf/AAPn/wDi6P7Gtv8Anre/+B8//wAXRzVv5V97/wAg5q/8q+9//Il+iqH9jW3/AD1vf/A+f/4uj+xrb/nre/8AgfP/APF0c1b+Vfe/8g5q/wDKvvf/AMiY3xHvk03wLd3kgDeTNbyBN2C5WdGwPyr5K0ee98VeJtT8X6wTJdXk7FOuFz1x7BcKPYEV9WeO9BtZvCMybpyzT26KZp3mVC0yITtclScMeorhv+GcLH/oPJ/4JLL/AON1zTVac5RSS0XXzfkbZfi6mFx3tpUlKyWnM1r71n8LPL9rf3T+VG1v7p/KvUP+GcLH/oPJ/wCCSy/+N0f8M4WP/QeT/wAEll/8brn+p1fL7/8AgH2n+uGJ/wCgeP8A4G//AJA8v2t/dP5UbW/un8q9Q/4Zwsf+g8n/AIJLL/43R/wzhY/9B5P/AASWX/xuj6nV8vv/AOAH+uGJ/wCgeP8A4G//AJA8v2t/dP5UbW/un8q9Q/4Zwsf+g8n/AIJLL/43R/wzhY/9B5P/AASWX/xuj6nV8vv/AOAH+uGJ/wCgeP8A4G//AJA8tjIljWSL5kcBlYDqD0NO2t/dP5V6h/wzhY/9B5P/AASWX/xuj/hnCx/6Dyf+CSy/+N0fU6vl9/8AwBLjDE21w8f/AAN//IHl+1v7p/Kja390/lXqH/DOFj/0Hk/8Ell/8bo/4Zwsf+g8n/gksv8A43R9Tq+X3/8AAH/rhif+geP/AIG//kDy/a390/lVzSyyXoBBAZSOa9E/4Zwsf+g8n/gksv8A43Sj9nKyAIXxAFBGCBotmMj0Pyc10YajWw9eFZWfK093/kcGZcRVswwVXCToKKnFxvzt2ut7ci/M8c8YfbPCvibTPGmht5d1bToJRzhiPu5A/hIBU89MV9Y+DvFVj418J2Wv6WGWC7UnY/3o2UlWU/Qg/Xr3rzD/AIZwsf8AoPJ/4JLL/wCN16L4Z8DaZ4Y0CDTLR58R5MkkMjW4lc9WKRFVB+g7V6OJr1K9V1FBK/8Aef8A8ifE4OjicNQjRlaVut2tPuOloqh/Y1t/z1vf/A+f/wCLo/sa2/563v8A4Hz/APxdc/NW/lX3v/I6+av/ACr73/8AIl+iqH9jW3/PW9/8D5//AIuj+xrb/nre/wDgfP8A/F0c1b+Vfe/8g5q/8q+9/wDyJfooorY6BksqQQvLKdqRqWY+gHJrm9F8U3t9eaampafFaQavbNc2LJOXcABW2SKVGGKsDwSOGHYE6eq+H7fV7iKa4ur+Ly12+Xb3kkUbjP8AEina34g8cVh6X4e1yCTSmv8A7Ax0Oxkt7Ro5n/0mQqqK7jYPLG1eQN/LH05AHeJPGUukeI4tItH0aKRrZZ2fVdQNsG3OyqqYRtx+Rv0rrU3bF3gBscgHIzXM67peuXy30Npb6TJDqNiLaVp2ZXhb5gTkIfNXD5Ckrgjr83HQWFqLHTba0DtILeJYg7dW2gDJ9+KAJ6KKKACiiigDB8af8iw3/X3af+lMdb1YPjT/AJFhv+vu0/8ASmOt6sY/xpei/NnPH+PL0X5yCiiitjoCiiigBksqQQvLKdqRqWY+gHJrm9F8U3t9eaampafFaQavbNc2LJOXcABW2SKVGGKsDwSOGHYE9HcQrc20sEmdkqFGx6EYrk9L8Pa5BJpTX/2BjodjJb2jRzP/AKTIVVFdxsHljavIG/lj6cgDvEnjKXSPEcWkWj6NFI1ss7PquoG2DbnZVVMI24/I36V1qbti7wA2OQDkZrmdd0vXL5b6G0t9Jkh1GxFtK07Mrwt8wJyEPmrh8hSVwR1+bjoLC1FjpttaB2kFvEsQdurbQBk+/FAE9FFFABRRRQBBe3QsrKW4aGafyxny4Iy7ufQAf59az/C+tSeIfD8WpT2hs5JJZo2gLhimyV48Ejgn5e3Fa9ZHhfSZ9E0JbK6eN5BcXEuYySMSTvIOoHOGGffNAGvRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQBg+NP+RYb/r7tP/SmOt6sHxp/yLDf9fdp/wClMdb1Yx/jS9F+bOeP8eXovzkFFFFbHQFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFNWWN2ZUdWZDhgDkqfekkmihUGaRIweAWYDNAGJ40/wCRYb/r7tP/AEpjrerA8ZMr+FiyMGU3VoQQcg/6THW/WMf40vRfmznj/Hl6L85BRRRWx0BRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFZGtatd2LLb2WkX948yHbcW6xmOFug3bnB9+AePyrXooA878M21naX3gubSI4lkvdJle9kQAPOuyNi8h6sfMI5POWPqa0/Fujp4i17SYUudHYQ29xMttqVp9qSU5jG8JuUfLyM5439K6Wz0fTNPuJriw060tZp/9bJBAqNJyT8xAyeSTz6mo7nQNGvLOG0u9JsZ7aDPlQy2yMkeRg7VIwOD2oA5W4vF1T4R2NxBbRacJXtAsdqoCR4uYxmMEY28ZHHQiut0ywuLCN1utWvNTLHIe7SFSnsPKjQfmDWZ4xRIvCnlxqqIt1aKqqMAAXEfAFdBWMf40vRfmznj/Hl6L85BRRRWx0BRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAf/Z","relationship":null}],"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","target":"/matlab/document.xml","relationshipId":"rId1"}]}

<div 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; "><div style="block-size: 617px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 308.5px; transform-origin: 407px 308.5px; vertical-align: baseline; "><div style="block-size: 21px; 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 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span 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; "><span style="">Consider an equilateral triangle sitting in Quadrant I as depicted in an example below:</span></span></div><div style="block-size: 236px; 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 118px; text-align: left; transform-origin: 384px 118px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><img class="imageNode" width="243" height="230" style="vertical-align: baseline;width: 243px;height: 230px" src="data:image/jpeg;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/4RE6RXhpZgAATU0AKgAAAAgABAE7AAIAAAAlAAAISodpAAQAAAABAAAIcJydAAEAAABKAAAQ6OocAAcAAAgMAAAAPgAAAAAc6gAAAAgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEtBU1RBTllBIERvZGR5IC0gKE5TJkwpIC0gS0lORUNUUklDUwAAAAWQAwACAAAAFAAAEL6QBAACAAAAFAAAENKSkQACAAAAAzUwAACSkgACAAAAAzUwAADqHAAHAAAIDAAACLIAAAAAHOoAAAAIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAyMDIxOjAxOjIyIDEwOjQ3OjQwADIwMjE6MDE6MjIgMTA6NDc6NDAAAABLAEEAUwBUAEEATgBZAEEAIABEAG8AZABkAHkAIAAtACAAKABOAFMAJgBMACkAIAAtACAASwBJAE4ARQBDAFQAUgBJAEMAUwAAAP/hCztodHRwOi8vbnMuYWRvYmUuY29tL3hhcC8xLjAvADw/eHBhY2tldCBiZWdpbj0n77u/JyBpZD0nVzVNME1wQ2VoaUh6cmVTek5UY3prYzlkJz8+DQo8eDp4bXBtZXRhIHhtbG5zOng9ImFkb2JlOm5zOm1ldGEvIj48cmRmOlJERiB4bWxuczpyZGY9Imh0dHA6Ly93d3cudzMub3JnLzE5OTkvMDIvMjItcmRmLXN5bnRheC1ucyMiPjxyZGY6RGVzY3JpcHRpb24gcmRmOmFib3V0PSJ1dWlkOmZhZjViZGQ1LWJhM2QtMTFkYS1hZDMxLWQzM2Q3NTE4MmYxYiIgeG1sbnM6ZGM9Imh0dHA6Ly9wdXJsLm9yZy9kYy9lbGVtZW50cy8xLjEvIi8+PHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9InV1aWQ6ZmFmNWJkZDUtYmEzZC0xMWRhLWFkMzEtZDMzZDc1MTgyZjFiIiB4bWxuczp4bXA9Imh0dHA6Ly9ucy5hZG9iZS5jb20veGFwLzEuMC8iPjx4bXA6Q3JlYXRlRGF0ZT4yMDIxLTAxLTIyVDEwOjQ3OjQwLjQ5ODwveG1wOkNyZWF0ZURhdGU+PC9yZGY6RGVzY3JpcHRpb24+PHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9InV1aWQ6ZmFmNWJkZDUtYmEzZC0xMWRhLWFkMzEtZDMzZDc1MTgyZjFiIiB4bWxuczpkYz0iaHR0cDovL3B1cmwub3JnL2RjL2VsZW1lbnRzLzEuMS8iPjxkYzpjcmVhdG9yPjxyZGY6U2VxIHhtbG5zOnJkZj0iaHR0cDovL3d3dy53My5vcmcvMTk5OS8wMi8yMi1yZGYtc3ludGF4LW5zIyI+PHJkZjpsaT5LQVNUQU5ZQSBEb2RkeSAtIChOUyZhbXA7TCkgLSBLSU5FQ1RSSUNTPC9yZGY6bGk+PC9yZGY6U2VxPg0KCQkJPC9kYzpjcmVhdG9yPjwvcmRmOkRlc2NyaXB0aW9uPjwvcmRmOlJERj48L3g6eG1wbWV0YT4NCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgPD94cGFja2V0IGVuZD0ndyc/Pv/bAEMABwUFBgUEBwYFBggHBwgKEQsKCQkKFQ8QDBEYFRoZGBUYFxseJyEbHSUdFxgiLiIlKCkrLCsaIC8zLyoyJyorKv/bAEMBBwgICgkKFAsLFCocGBwqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKv/AABEIAOYA8wMBIgACEQEDEQH/xAAfAAABBQEBAQEBAQAAAAAAAAAAAQIDBAUGBwgJCgv/xAC1EAACAQMDAgQDBQUEBAAAAX0BAgMABBEFEiExQQYTUWEHInEUMoGRoQgjQrHBFVLR8CQzYnKCCQoWFxgZGiUmJygpKjQ1Njc4OTpDREVGR0hJSlNUVVZXWFlaY2RlZmdoaWpzdHV2d3h5eoOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4eLj5OXm5+jp6vHy8/T19vf4+fr/xAAfAQADAQEBAQEBAQEBAAAAAAAAAQIDBAUGBwgJCgv/xAC1EQACAQIEBAMEBwUEBAABAncAAQIDEQQFITEGEkFRB2FxEyIygQgUQpGhscEJIzNS8BVictEKFiQ04SXxFxgZGiYnKCkqNTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqCg4SFhoeIiYqSk5SVlpeYmZqio6Slpqeoqaqys7S1tre4ubrCw8TFxsfIycrS09TV1tfY2dri4+Tl5ufo6ery8/T19vf4+fr/2gAMAwEAAhEDEQA/APpGiiigAooooAKKKKACiiigAooooAKKKKAMHwN/yIejf9eifyrerB8Df8iHo3/Xon8q3qxofwY+i/I58N/Ah6L8gooorY6AooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAMHwN/yIejf9eifyrerB8Df8iHo3/Xon8q3qxofwY+i/I58N/Ah6L8gooorY6AooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAo6xrFpoemve37sI14VI0LvI3ZVUcknHSn6TqMer6LY6lCjRx3lvHcIj9VDqGAPvzUl7G02n3EcYy7xMqj1JFUfC1nPp3g/RrG8j8u4trCCGVNwO11jUEZHB5HagCt4G/5EPRv+vRP5VvVyPgHQdHg8M6TqkGlWMeoSWi77tLZBK2RzlwMn8666saH8GPovyOfDfwIei/IKKKK2OgKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigDB8Df8iHo3/Xon8q3qwfA3/Ih6N/16J/Kt6saH8GPovyOfDfwIei/IKKKK2OgKKKKAEZlRSzkKqjJJOABWB4Y8deG/GbXY8M6rFfmzfZOEVhtOSARkDIODgjIrzv8AaK+IDeG/CKeG9Jdjq2uAx/u/vRwdGPHOWPyD1G7uBXh/g7UNS+DXjbSNbuWaSwvI/J1CNV+6pwXTgnJXhge5U9s1pGnOUXNLRbmUq1OE405PWWy72PtSiorW6gvbOG6tJVmt541kikQ5V1YZBB9CDmpazNQooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAMHwN/yIejf9eifyrerB8Df8iHo3/Xon8q3qxofwY+i/I58N/Ah6L8gooorY6Aqpqup2mi6TdanqUyw2lpE000jfwqoyat187ftI+NJ9T1Cy+HWgvumndJtQ2np3jjbHYf6w8dAh9aaTbshSkoq72PPrC/vfiT8R7/xpq6AW8cm21hJBEeB8iYx/CpyTx8xB9a6PxFokXiDRJrGUhWb5on/uOOh/ofYmp9I0yDRtJt7C1z5cK4yerHqT+JJNXa+6wmChRw3spLfc/MMfmU8RjPbwduX4fRf5m3+zb48mu9PuvA2tvtv9JDNaBzy0QbDpnvsYj8D6CveK+NfFBvvB/irTvG/h/clzbygXGCcHjAz/ALLLlT26epr618MeIrHxZ4Zsdc0p91texCRQeqHup9wcg/SvjcVh5Yeq6cun5H6JgsXHF0I1o9d/J9TVooormOwKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooqhNrulW+qx6ZPqNtHfS42W7SgO2c4498HHrg0AX6Kqanq1hotkbzVryGztgwUyzOFUE9Bk0um6pY6xYreaVdw3ds5IWWFwykg4PIoAy/A3/Ih6N/16J/Kt6sHwN/yIejf9eifyrerGh/Bj6L8jnw38CHovyCiiitjoOc8e+MbPwJ4MvtdvipMKbYIieZpjwiD6nr6AE9q+VvAtjc6tfXvi7W2+0X1/M7RyPg9Sd7j0ycqOmAD2NdH8aPFD/En4mweEtJlY6Ro0jfaZFPDyg4kccH7v3F989jWnFFHBCkMKBI41CoijAUAYAFe/k+E9pP28tlt6/8A+V4hx/sqX1aD1lv6f8AB/IfRRRX1h8EV72yt9RsZbS8jWWCZdrqf88EdQexpf2fvFtx4Q8Z3ngDXZcW125ksHbAHm+g56OvP1AHUmp6434g6NNPZQ63prNHfaYRJ5kZw2wHOQQM5U/MORgbq8bNsJ7al7SO8fyPo8gx/wBXr+xm/dn+D6fft9x9i0Vxvws8dw/ELwLa6sNq3kf7i9jX+CZQMkexyGH1x2rsq+NP0QKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArzXWJ4Uh8SaQ0qLrV5rNvLaQsf3ko/ceXIg6lVCHkcLsbOMGvSqKAOT8WXGmXsWmPPrj6bDb6mQbuFUKpKsci7HZwVTk9WB+YAdSKu+DdRu9T0SWW7uftqJdSxW16UVftUKthZPlAU55GVABxkda36KAPO/BNvd2Wgabf2+j6lcs1qoG3WWaJhjqIXkCL+XFdT/AMJPHDn+0dL1WwGM7pLUyqPq0RcD6kgUzwN/yIejf9eifyrermoRl7KNn0X5FYWrSdCClTWy2bT2821+BWstRstSh83T7uG6jBwWhkDAH0OOhrg/jZ8Qv+EA8Ayy2Uirq2oZtrEZ5QkfNKB/sA59Mlc9a7HU9F0u633l0i200akm9ifypIwOSfMGDj2PHrXyTrmux/E/4kG9vr25udM0k+TbGdExLEGJUsAAAWPJ4ORxkcVvG/MlLS/Xp8zd0o1It0LuSTfLbV2V9Lb/AIehd8A6A+kaKbq8B+23xEsm7O5V/hU5PXkk9Dk4PSuqoznkc570V+j4elCjSjCGyPxjF16mIryqVN2/u8vkFFFFbHMFIQGUhhkHgg96WigDm/hz4iPwj+LBsrqQL4f1wqjs2QsXzHYxJPVCSCeflbPfj63r5L8Z+HV8Q6C6Rj/S7fMtuQBljjlOex/DkA9q9Z/Z8+In/CYeCRpWozBtW0dVifcfmlh6I/vj7p9wD3r4bMsJ9WrNL4Xqv8vkfp+T4765hk5P3o6P/P5nrdFFFeaewFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAYPgb/kQ9G/69E/lW9WD4G/5EPRv+vRP5Ve1/XLHw14fvdZ1aTyrOyiMsrAZJA7AdyTgAepFY0P4MfRfkc+G/gQ9F+R5B+0l4+Oj+GovCOkyM2payP36xn5kt84xgf3z8vuA1eR6JpSaPpUdqvL/AH5WBJDOQMke3AH4Vn2+o3vjnxtqXjHWUw08p8iPOVTjAUeyqAOnJOeoroK4cZVu+RH6Vwxl3s6bxdRay0Xp3+f5epcsr9rZgr/NEeo7j6VtqyuoZDlSMgjvXMVoaZeeW/kyEbGPB9DXuZFnEqE1hqz9x7eT/wAvyPnOOuEKeOoyzHBRtVjrJL7a/wDkl+O29jYooor9DP55CiiigArjG1W6+F/xQsfFunK5sLuTZfRLnDgn94vpkj5l5+8D2FdnWfrmkw65o1xYXGAJV+R8Z2MOjfgfz6Vw4/CrE0XFbrVHqZXjngsSpv4Xo/T/AIB9N2F/bapp1vfafMs9rcxrLFKvR1IyDVivn79m3xvPCt18P9fJivLJnlsRIRkp1eMeuDlgecgnsBX0DXwbTTsz9STTV0FFFFIYUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAGD4G/5EPRv+vRP5V4P+0f41l17XrP4f6HICsLia/bd8rSYyqEjsq5Y9eSO616dqHjW38AfAm01ucoZ1skis4n/AOWs7Kdi/Tgk+ymvmnwvaXdxLda/q0rzX2pM0jSSZ3EM25mP+8eenQDHWuNVFTw8ZeS/I68iwMsfOlSW1k35K39I3LO0isLKK1txiOJQoz1Pufc9anooryG23dn7RCEYRUIqyQUdKKKCzobOf7Raq5+90b61PWTo8mJJIyRyNwrWr9YyfFPFYKE5brR+qP5O4wyuOV5zWoU1aD96PpLW3yd18gooor1j5MKKKKAOJ8YQXvh3XLDxroLmK8sZUMpHfBwrH1B+4R3BA9a+rfBniqy8a+EbDXtNOIruPLRk8xOOGQ+4II9+vevA7q2hvbSW2uU8yGZCjqTjIIwelVvgX4qm8BfES58DavIx0/VZQ1nI5IVZsfIQOnzgbTj+IAV8jnGE9nU9tHaW/r/wT7/h7H+2pfV5v3o7en/A/wAj6hooorwj6gKKKKACiiigAoqh/Z9z/wBBi9/74g/+N0f2fc/9Bi9/74g/+N1j7SX8j/D/ADOf2s/+fb/8l/zL9FUP7Puf+gxe/wDfEH/xuj+z7n/oMXv/AHxB/wDG6PaS/kf4f5h7Wf8Az7f/AJL/AJlm7u4LCynvLyVYbe3jaWWRuiIoySfoBU1ZF/oJ1PTbmwvtUvZba6ieGaPEK7kYFWGRHkZBPSrH9n3P/QYvf++IP/jdHtJfyP8AD/MPaz/59v8A8l/zL9FUP7Puf+gxe/8AfEH/AMbo/s+5/wCgxe/98Qf/ABuj2kv5H+H+Ye1n/wA+3/5L/mX6Kof2fc/9Bi9/74g/+N0f2fc/9Bi9/wC+IP8A43R7SX8j/D/MPaz/AOfb/wDJf8y/RVD+z7n/AKDF7/3xB/8AG6ZNpM88LxS6vfFJFKsAsIyCMHkR0e0l/I/w/wAw9rP/AJ9v/wAl/wAz5C8b+ILjxz4g0Xw4pePS9Cs1V1yBvcgGR/x+VR6Yz3NaSIsaKkaqiKMKqjAA9AK7LT/gdqmtW8etabc6RapfxJJhmvFfGBgMUmAP5Vb/AOFAeJP+gtpP/f2//wDj9edyVKtOHuuyS7f5nv8AD+e08twii6EpSaWt47W06nCUV3f/AAoDxJ/0FtJ/7+3/AP8AH6P+FAeJP+gtpP8A39v/AP4/U/VanZ/h/mfRf65R/wCgaX3x/wAzhKK7v/hQHiT/AKC2k/8Af2//APj9H/CgPEn/AEFtJ/7+3/8A8fo+q1Oz/D/MP9co/wDQNL74/wCZx2nOEv4898j8xW6GViQpBKnBAPQ9f61qj4BeJVOV1fSAex8y+OPzn/Xt2pV+AnidGdk1nS1LncxE2oDccAZP7/ngAfhX0eU5jLL6TpSpt3d9129fI/OOLYviDFQxVODg4x5bPlezbT+LzZlUVr/8KI8Vf9BzTP8Av/qH/wAfo/4UR4q/6Dmmf9/9Q/8Aj9ez/rCv+fMvvj/mfG/6u1+/5f8AyRkUVr/8KI8Vf9BzTP8Av/qH/wAfo/4UR4q/6Dmmf9/9Q/8Aj9H+sK/58y++P+Yf6u1+/wCX/wAkZFch8QdDN7pI1WzGy+0794HXAJjHJ59vvD8cda9G/wCFEeKv+g5pn/f/AFD/AOP0jfAbxQ6lX1rS2Vhggz6gQR/3/rDEZ3CvSdOVGWvnH/M6sJkuKwteNaD29PmviO++DvxEg+IPgeCaWUHVrFFh1CPvv5Ak+jhSfrkdq7+vMPhj8I38Bm+na9ht7q62p/xLA+woOfmExfJyeCMY59a9A/s+5/6DF7/3xB/8br532kv5H+H+Z9d7Wf8Az7f/AJL/AJl+iqH9n3P/AEGL3/viD/43R/Z9z/0GL3/viD/43R7SX8j/AA/zD2s/+fb/APJf8y/RVD+z7n/oMXv/AHxB/wDG6KPaS/kf4f5h7Wf/AD7f/kv+ZfooorY6AooqnqlndXtn5NjqU2my7gfPhjjdsemHVh+lAGVd+L4LTUZ4fsNzLaWtxHa3V8hTy4ZZNuAQW3EDzEyQCBu9ji7r2t/2HaQSJZzXs9zOtvDbwsis7EE9XIUYCk8ntXLXegaz9j1TQjbS3kWpX0M/9qGSJFVMReYXXIO/MbYCrg7l6c42vENo2q29ob3wyuqwW96xe1meMsV2solRWYI33vusQcE8ZGKANnTbq4vLFZrywm0+Vic28zo7Lz1yjMvP1q1WB4N0u40nRJYbi3+xxyXUs1vZBg32WJmysfykqMdcKSBnA4Fb9ABRRRQAUUUUAYPgb/kQ9G/69E/lW9WD4G/5EPRv+vRP5VvVjQ/gx9F+Rz4b+BD0X5BRRRWx0BRRRQBz134vgtNRnh+w3Mtpa3EdrdXyFPLhlk24BBbcQPMTJAIG72OLuva3/YdpBIlnNez3M628NvCyKzsQT1chRgKTye1c1qeiarMus6NFp7y22q6jFcrfLLGEijPl+YGBbduHltjCkHcvI5xreIbRtVt7Q3vhldVgt71i9rM8ZYrtZRKiswRvvfdYg4J4yMUAbOm3VxeWKzXlhNp8rE5t5nR2XnrlGZefrVqsDwbpdxpOiSw3Fv8AY45LqWa3sgwb7LEzZWP5SVGOuFJAzgcCt+gAooooAKKKKAMbR/FFhrur6jY6d5jiwWIvOUISTeXHyE/eA2HkcelbNYen6ddQeNtav5YttrdWtpHDJuB3Mhm3DGcjG9evrW5QAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAGD4G/5EPRv+vRP5VvVg+Bv+RD0b/r0T+Vb1Y0P4MfRfkc+G/gQ9F+QUUUVsdAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAGD4G/5EPRv+vRP5VvVg+Bv+RD0b/r0T+Vb1Y0P4MfRfkc+G/gQ9F+QUUUVsdAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQBT1TVbXR7P7VfGYRbgv7m3kmbJ/wBlFJ/HFcHfXsl5p+teJbe6vPtVlqUEdlGJJI1SLEB8sxHA+cSNkMufmHTAx6RWTceGdJutUOoT2zNO0kcrgTyCN3T7jtGG2MwwMEgn5V9BgAh8YwX134YntdLIFzcSRRjNwYPlMi7xvHKnbu6ZPoKp+DDHayanpT2Ulpd2cqGZTqMt6jh0BVlkl+YcAgrgYI75zWxe6Hp+ow3MV7C8qXTo8gMzjDJjayEH5CCoIK4ORnrT9M0iy0hJlsY3Bnk8yWSWV5XkbAGWdyWPAAGTwAAKAOe8Aw6wPDOkyT31i+nm0XZAlk6yrxxmQykH/vgV11YPgb/kQ9G/69E/lW9WND+DH0X5HPhv4EPRfkFFFFbHQFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQBg+Bv+RD0b/r0T+Vb1FFY0P4MfRfkc+G/gQ9F+QUUUVsdAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAH/9k=" data-image-state="image-loaded"></div><div style="block-size: 105px; 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 52.5px; text-align: left; transform-origin: 384px 52.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span 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; "><span style="">This triangle is to be split into two regions (e.g., red and blue). Given the ratio between the two regions and the side of the equilateral triangle, determine the radius of the circle defining the red region. The ratio between the regions (red to blue) is presented through the first two entries in the input. For example, if the ratio is 3 to 5, then these two numbers will be the first two entries in the input. The last entry is the side of the equilateral triangle. Please also consider the following possible configuration:</span></span></div><div style="block-size: 228px; 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 114px; text-align: left; transform-origin: 384px 114px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><img class="imageNode" style="vertical-align: baseline" src="data:image/jpeg;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/4RE6RXhpZgAATU0AKgAAAAgABAE7AAIAAAAlAAAISodpAAQAAAABAAAIcJydAAEAAABKAAAQ6OocAAcAAAgMAAAAPgAAAAAc6gAAAAgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEtBU1RBTllBIERvZGR5IC0gKE5TJkwpIC0gS0lORUNUUklDUwAAAAWQAwACAAAAFAAAEL6QBAACAAAAFAAAENKSkQACAAAAAzM1AACSkgACAAAAAzM1AADqHAAHAAAIDAAACLIAAAAAHOoAAAAIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAyMDIxOjAxOjIyIDEwOjQ5OjI0ADIwMjE6MDE6MjIgMTA6NDk6MjQAAABLAEEAUwBUAEEATgBZAEEAIABEAG8AZABkAHkAIAAtACAAKABOAFMAJgBMACkAIAAtACAASwBJAE4ARQBDAFQAUgBJAEMAUwAAAP/hCztodHRwOi8vbnMuYWRvYmUuY29tL3hhcC8xLjAvADw/eHBhY2tldCBiZWdpbj0n77u/JyBpZD0nVzVNME1wQ2VoaUh6cmVTek5UY3prYzlkJz8+DQo8eDp4bXBtZXRhIHhtbG5zOng9ImFkb2JlOm5zOm1ldGEvIj48cmRmOlJERiB4bWxuczpyZGY9Imh0dHA6Ly93d3cudzMub3JnLzE5OTkvMDIvMjItcmRmLXN5bnRheC1ucyMiPjxyZGY6RGVzY3JpcHRpb24gcmRmOmFib3V0PSJ1dWlkOmZhZjViZGQ1LWJhM2QtMTFkYS1hZDMxLWQzM2Q3NTE4MmYxYiIgeG1sbnM6ZGM9Imh0dHA6Ly9wdXJsLm9yZy9kYy9lbGVtZW50cy8xLjEvIi8+PHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9InV1aWQ6ZmFmNWJkZDUtYmEzZC0xMWRhLWFkMzEtZDMzZDc1MTgyZjFiIiB4bWxuczp4bXA9Imh0dHA6Ly9ucy5hZG9iZS5jb20veGFwLzEuMC8iPjx4bXA6Q3JlYXRlRGF0ZT4yMDIxLTAxLTIyVDEwOjQ5OjI0LjM0NzwveG1wOkNyZWF0ZURhdGU+PC9yZGY6RGVzY3JpcHRpb24+PHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9InV1aWQ6ZmFmNWJkZDUtYmEzZC0xMWRhLWFkMzEtZDMzZDc1MTgyZjFiIiB4bWxuczpkYz0iaHR0cDovL3B1cmwub3JnL2RjL2VsZW1lbnRzLzEuMS8iPjxkYzpjcmVhdG9yPjxyZGY6U2VxIHhtbG5zOnJkZj0iaHR0cDovL3d3dy53My5vcmcvMTk5OS8wMi8yMi1yZGYtc3ludGF4LW5zIyI+PHJkZjpsaT5LQVNUQU5ZQSBEb2RkeSAtIChOUyZhbXA7TCkgLSBLSU5FQ1RSSUNTPC9yZGY6bGk+PC9yZGY6U2VxPg0KCQkJPC9kYzpjcmVhdG9yPjwvcmRmOkRlc2NyaXB0aW9uPjwvcmRmOlJERj48L3g6eG1wbWV0YT4NCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgPD94cGFja2V0IGVuZD0ndyc/Pv/bAEMABwUFBgUEBwYFBggHBwgKEQsKCQkKFQ8QDBEYFRoZGBUYFxseJyEbHSUdFxgiLiIlKCkrLCsaIC8zLyoyJyorKv/bAEMBBwgICgkKFAsLFCocGBwqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKv/AABEIAN4A7QMBIgACEQEDEQH/xAAfAAABBQEBAQEBAQAAAAAAAAAAAQIDBAUGBwgJCgv/xAC1EAACAQMDAgQDBQUEBAAAAX0BAgMABBEFEiExQQYTUWEHInEUMoGRoQgjQrHBFVLR8CQzYnKCCQoWFxgZGiUmJygpKjQ1Njc4OTpDREVGR0hJSlNUVVZXWFlaY2RlZmdoaWpzdHV2d3h5eoOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4eLj5OXm5+jp6vHy8/T19vf4+fr/xAAfAQADAQEBAQEBAQEBAAAAAAAAAQIDBAUGBwgJCgv/xAC1EQACAQIEBAMEBwUEBAABAncAAQIDEQQFITEGEkFRB2FxEyIygQgUQpGhscEJIzNS8BVictEKFiQ04SXxFxgZGiYnKCkqNTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqCg4SFhoeIiYqSk5SVlpeYmZqio6Slpqeoqaqys7S1tre4ubrCw8TFxsfIycrS09TV1tfY2dri4+Tl5ufo6ery8/T19vf4+fr/2gAMAwEAAhEDEQA/APpGiiigAooooAKKKKACiiigAooooAwfGn/IsN/192n/AKUx1vVg+NP+RYb/AK+7T/0pjrerGP8AGl6L82c8f48vRfnIKKKK2OgKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAMHxp/wAiw3/X3af+lMdb1YPjT/kWG/6+7T/0pjrerGP8aXovzZzx/jy9F+cgooorY6AooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArB8ReJX0O606CLT57k3l3BA8wG2KBZJAmSx6nnhRk9zgVvVkeI9Jn1e0sorZ41aDULa6bzCQCscquwGAecA496AK3jiRIvCkskrqiJdWrMzHAUC4jySa09M1rStajeTRtTs9QSM7Xa0nWUKfQlScVneNP+RYb/r7tP/SmOt6sY/xpei/NnPH+PL0X5yCiiitjoCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigDnvHKs/hOVY38tzc2oV8Z2n7RHzirH9m64v3PEAb/rpZIf5EVF40/5Fhv+vu0/9KY63q5+VOs/RfmyaVaVOtJJLZbpPrLumY3leJouRdaTdY/hNtJBn8d7/wAqaNW1u3bF/wCHmkXu+n3aSgfg4jP5AmtuiteTszs+sJ/HBP71+TS/AyLfxRpU0whmnaynJwIb6Nrdm/3Q4G78M1r1HPbw3ULQ3MUc0TDDJIoZT9QayG8NJbYbQb2fSmXpFGd8B9vKb5R/wHafej315hbDz2bj66r71Zr7mbdYXjLxhpXgXwzPrmuO4t4iFWOMZeVz0RR6n+hPanjVr7TeNes8xD/l9slZ4/qycun/AI8B3YV81/GLxRJ8T/ifB4Z0mYHRdHJMkqOMStx5kgOOcZCL1Gcno3GlNOrJQjuznxEfq9N1anwrr0/ry3PpLwf4v0rxx4bh1vQpHa2lYoUkADxsOqsATg9D17ityvlT4PeKH+GPxPl8LanO39i606iB3biOQnEbn0z9xjx0B6CvquqnCVOThLdGNOpGrBVIO6eoUUUVBoFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAYPjT/kWG/6+7T/ANKY63qwfGn/ACLDf9fdp/6Ux1vVjH+NL0X5s54/x5ei/OQUUUVsdAUUUyaaO3heaeRYoo1Lu7sAqqBkkk9BQB518b/iF/wgPgGU2M4j1jUs29jg/Mn9+Qf7oI/4EVr578GxXWj6Yr3bGSafDOHB3IvZMnnjJP1OO1N8W+JW+K3xUu9XfLaNp+IrOJxwYwTtyp7sdzHI/wBk9q064q+KnRmnSdpLW59lkGTUsZQqTxceaEtLPZ938nt2eu6IfGejx+JNBNzZBjfWQMkYGdxH8S4HXOMj3A6ZNe8/A74gnx74Aja9l36tppFtebjkvx8kn/AgOvqrV4fBPLbTLNbyPFKhyro2Cp9Qaz/COuv8L/iVa61AxbSr0tHf26ADERPzFVHZCQwAx0x0rqlmSxck6itPq+j8/Jnl4vhSWU05Swsuale6T3jfpfqr/Ndb7n2RRTIJorm3jnt5FkilUOjqchlIyCD6Yp9WeCFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUVj6X4p0vWLsW9lJMWkjM0LSQPGtxGCAXjZgA6gkcj+8D0INJq3iix0e+js54b64uHj83y7KyluCqZxk7FOOfX0oAi8af8AIsN/192n/pTHW9XP+Mm3+FSwBAa6tDgjB/4+I+1dBWMf40vRfmznj/Hl6L85BRRRWx0BXhf7SnxAbStBi8G6Q7NqOrqGuRHyUgzgL9XYY+gPqK9j8Q67ZeGfDt9rWqPstbGFpZMdTjoo9ycAe5FfG1pf33jXxlqPjLWv9ZcSt5EeSQg6AKf7qr8o9ee4rOpUVOLkztwODnjcRGhDrv5Lqy/ommLpGkxWq4Lj5pWB+856n+n0ArQoorwZScndn7JRpQo040oKySsgqlq1gdR02SBGCS/eic/wuOh7/Q+xNXaKE2ndDqU41YOEtmel/s9/EmHUtH/4Q/WJDDqtgzLAkh+/GD9we6nPHpgdq9wr4b11bjw/4jsvE+nZDQyqZduQQRwDnPGRxxjBA7mvr3wJ4uh8XeHLe8V1aZolkJXAEiHo4HbkFSOzKw7An26VRSin3/qx+SZlgpYetOL3jv5rpJevVdH9y6eiiitzyAooooAKKKKACiiigAooooAKKKKACiiigAqG9ha5sLiBDtaWJkBPYkYqaigDgNGNxJL4ZLabf239g6ZKL1XtHUBxGkYjQ4/eElWI2ZGFHqMv8V20M2pXt4lp4hTUZNNjWxn08zhGcGQqhEfCsGcE+b8uD6Bq7yigDl/FMc0ngOOLVFjknaSyW5XAKs3nxbhjpjOa29M0XStFjePRtMs9PSQ7nW0t1iDH1IUDNZ3jT/kWG/6+7T/0pjrerGP8aXovzZzx/jy9F+cgoorkviZ44t/h/wCBb3WZSpuceTZxMf8AWzMPlH0HLH2U1sdB4n+0Z41l8Q+JbPwBok4MMDrLfsp4MuMhCe4RfmI9SO61y1naxWNnFa24xHEoVemT7nHc9T71h+FbO4m+0a7qjyS3+ou0jSyE7mDNuLH3Zuc+mPWujryMXV55cq2R+mcN5d9Ww/1ia96f4Lp9+/3BRRRXGfVBRRRQBBeWkV9Zy2twMxyqVbpke4z3HUe9aXwT8WXXh3xJL4VuZd01vI82ngnHnA4MsA/66IA6gnAdR3JqpXOeKrO4i+z65pbyRX+nurrJGTlVByGHup5+mc9K68NUs+R7P8z5nP8ABOpSWKpq8ob+ceq/rpc+2bW5hvbSK5tZBJDMgdHHcHpUtea/B7xzbeKtBTaVjedWnEI48uUEeeg9gzK49pQO1elV60Xdan5rWpqnO0dnqvT+tH5hRRRVGIUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAYPjT/AJFhv+vu0/8ASmOt6sHxp/yLDf8AX3af+lMdb1Yx/jS9F+bOeP8AHl6L85BXyL8XfFo+JvxRTTLCTzNC0QtGHU/LK2R5j9eckBQR2GfWvZvj38Rf+EH8DtZadLt1jVw0FuQeYY/45PyOB7kHsa+f/C+kf2RpCiVcXM3zy+3ovTsP1JqcRV9nDTc+jyXL/r2KUZfDHV/5fP8AK5roixoqRqqIowqqMAD0Ap1FFeIfrSSSsgooooGFFFFABSEBlIYAg8EEZBpaKBbmT4D8STfDP4lQI7P/AGVczq4XqADlc9ewZl/JscCvtBWDKGUggjII718W+JdIbVtLxAP9KgPmQnOMnuM+4/UCvoj4IePo/GXguK0nZRqGmRRxyqP44yuEf/x1lPuvvXsYerzrz/r8/wBD8uzvL/qk2or3b3Xo+n/br/8ASkel0UUV1nzYUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAYPjT/kWG/6+7T/0pjrYu7uCwsp7u8lWG3t42llkY8IijJJ9gBWP40/5Fhv+vu0/9KY68f8A2lvHrwWNt4F0WbN7qJWS9CMBtiJ+SMnsWYZI9AM8NWK/iy9F+bMIJvESS7R/OR5Xrmv3PxQ+Jl54mugyadauIrKFs4VFzsUe+fnb3bGMGteqWk6ZFpGmxWkR3beXfABdj1P9PoAKu15Ner7Sd+h+yZPl6wGFUH8T1fr2+QUUUVgeyFFFFABRRRQAUUUUAFZ+l+Jpfhn4+0vxFaB3tJWeC9gU/fiZgzAfiSw9x6VoUr6Pa67pd/YXUYLyQ/uJT1gkDKQ49eAQR6Ma68FGc68YQ3Z8/wARqlHLKtWrtFXv80z60tLuC/soLuzlWa3uI1likU8OjDII9iDU1eB/s1+O5JbO78B626x3umFmswzDLIGO+P3Ktzx2J7LXvlew01oz8oTTV0FFFFAwooooAKKof2Nbf89b3/wPn/8Ai6P7Gtv+et7/AOB8/wD8XWPNW/lX3v8AyOfmr/yr73/8iX6q3eoQWVzZQTlg99OYIcDOXEbyc+nyxtUX9jW3/PW9/wDA+f8A+LqOTw/YTSRPN9qkeF98TNeTExttK7lO7g7WYZHYkd6Oat/Kvvf+Qc1f+Vfe/wD5E06Kof2Nbf8APW9/8D5//i6P7Gtv+et7/wCB8/8A8XRzVv5V97/yDmr/AMq+9/8AyJfoqh/Y1t/z1vf/AAPn/wDi6P7Gtv8Anre/+B8//wAXRzVv5V97/wAg5q/8q+9//Il+iqH9jW3/AD1vf/A+f/4uj+xrb/nre/8AgfP/APF0c1b+Vfe/8g5q/wDKvvf/AMiY3xHvk03wLd3kgDeTNbyBN2C5WdGwPyr5K0ee98VeJtT8X6wTJdXk7FOuFz1x7BcKPYEV9WeO9BtZvCMybpyzT26KZp3mVC0yITtclScMeorhv+GcLH/oPJ/4JLL/AON1zTVac5RSS0XXzfkbZfi6mFx3tpUlKyWnM1r71n8LPL9rf3T+VG1v7p/KvUP+GcLH/oPJ/wCCSy/+N0f8M4WP/QeT/wAEll/8brn+p1fL7/8AgH2n+uGJ/wCgeP8A4G//AJA8v2t/dP5UbW/un8q9Q/4Zwsf+g8n/AIJLL/43R/wzhY/9B5P/AASWX/xuj6nV8vv/AOAH+uGJ/wCgeP8A4G//AJA8v2t/dP5UbW/un8q9Q/4Zwsf+g8n/AIJLL/43R/wzhY/9B5P/AASWX/xuj6nV8vv/AOAH+uGJ/wCgeP8A4G//AJA8tjIljWSL5kcBlYDqD0NO2t/dP5V6h/wzhY/9B5P/AASWX/xuj/hnCx/6Dyf+CSy/+N0fU6vl9/8AwBLjDE21w8f/AAN//IHl+1v7p/Kja390/lXqH/DOFj/0Hk/8Ell/8bo/4Zwsf+g8n/gksv8A43R9Tq+X3/8AAH/rhif+geP/AIG//kDy/a390/lVzSyyXoBBAZSOa9E/4Zwsf+g8n/gksv8A43Sj9nKyAIXxAFBGCBotmMj0Pyc10YajWw9eFZWfK093/kcGZcRVswwVXCToKKnFxvzt2ut7ci/M8c8YfbPCvibTPGmht5d1bToJRzhiPu5A/hIBU89MV9Y+DvFVj418J2Wv6WGWC7UnY/3o2UlWU/Qg/Xr3rzD/AIZwsf8AoPJ/4JLL/wCN16L4Z8DaZ4Y0CDTLR58R5MkkMjW4lc9WKRFVB+g7V6OJr1K9V1FBK/8Aef8A8ifE4OjicNQjRlaVut2tPuOloqh/Y1t/z1vf/A+f/wCLo/sa2/563v8A4Hz/APxdc/NW/lX3v/I6+av/ACr73/8AIl+iqH9jW3/PW9/8D5//AIuj+xrb/nre/wDgfP8A/F0c1b+Vfe/8g5q/8q+9/wDyJfooorY6BksqQQvLKdqRqWY+gHJrm9F8U3t9eaampafFaQavbNc2LJOXcABW2SKVGGKsDwSOGHYE6eq+H7fV7iKa4ur+Ly12+Xb3kkUbjP8AEina34g8cVh6X4e1yCTSmv8A7Ax0Oxkt7Ro5n/0mQqqK7jYPLG1eQN/LH05AHeJPGUukeI4tItH0aKRrZZ2fVdQNsG3OyqqYRtx+Rv0rrU3bF3gBscgHIzXM67peuXy30Npb6TJDqNiLaVp2ZXhb5gTkIfNXD5Ckrgjr83HQWFqLHTba0DtILeJYg7dW2gDJ9+KAJ6KKKACiiigDB8af8iw3/X3af+lMdb1YPjT/AJFhv+vu0/8ASmOt6sY/xpei/NnPH+PL0X5yCiiitjoCiiigBksqQQvLKdqRqWY+gHJrm9F8U3t9eaampafFaQavbNc2LJOXcABW2SKVGGKsDwSOGHYE9HcQrc20sEmdkqFGx6EYrk9L8Pa5BJpTX/2BjodjJb2jRzP/AKTIVVFdxsHljavIG/lj6cgDvEnjKXSPEcWkWj6NFI1ss7PquoG2DbnZVVMI24/I36V1qbti7wA2OQDkZrmdd0vXL5b6G0t9Jkh1GxFtK07Mrwt8wJyEPmrh8hSVwR1+bjoLC1FjpttaB2kFvEsQdurbQBk+/FAE9FFFABRRRQBBe3QsrKW4aGafyxny4Iy7ufQAf59az/C+tSeIfD8WpT2hs5JJZo2gLhimyV48Ejgn5e3Fa9ZHhfSZ9E0JbK6eN5BcXEuYySMSTvIOoHOGGffNAGvRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQBg+NP+RYb/r7tP/SmOt6sHxp/yLDf9fdp/wClMdb1Yx/jS9F+bOeP8eXovzkFFFFbHQFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFNWWN2ZUdWZDhgDkqfekkmihUGaRIweAWYDNAGJ40/wCRYb/r7tP/AEpjrerA8ZMr+FiyMGU3VoQQcg/6THW/WMf40vRfmznj/Hl6L85BRRRWx0BRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFZGtatd2LLb2WkX948yHbcW6xmOFug3bnB9+AePyrXooA878M21naX3gubSI4lkvdJle9kQAPOuyNi8h6sfMI5POWPqa0/Fujp4i17SYUudHYQ29xMttqVp9qSU5jG8JuUfLyM5439K6Wz0fTNPuJriw060tZp/9bJBAqNJyT8xAyeSTz6mo7nQNGvLOG0u9JsZ7aDPlQy2yMkeRg7VIwOD2oA5W4vF1T4R2NxBbRacJXtAsdqoCR4uYxmMEY28ZHHQiut0ywuLCN1utWvNTLHIe7SFSnsPKjQfmDWZ4xRIvCnlxqqIt1aKqqMAAXEfAFdBWMf40vRfmznj/Hl6L85BRRRWx0BRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAf/Z" data-image-state="image-loaded"></div></div></div>

Solve

Solution Stats

57 Solutions
22 Solvers

Last Solution submitted on Feb 13, 2023

Last 200 Solutions

Problem Comments

1 Comment

1 Comment

Rafael S.T. Vieira on 31 Oct 2022

To calculate the area when the radius is greater than the triangle's height, we would have to calculate the intersection between the circle & the triangle, two integrals, and a trapezoid's & a triangle's areas. But it seems no test does it know (only the test #2 may cause a precision error).

Problem Recent Solvers22

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 49938. Splitting Triangle - Problem the third

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers22

Suggested Problems

More from this Author180

Problem Tags

Community Treasure Hunt

Problem 49938. Splitting Triangle - Problem the third

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers22

Suggested Problems

More from this Author180

Problem Tags

Community Treasure Hunt

Players