Problem 49948. Splitting Circle

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 a circle which has been divided into three concentric circles as depicted in the figure 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=\"353\"/><w:attr w:name=\"width\" w:val=\"359\"/><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>The ratio betwen the areas of the inner, intermediate, and outer regions is given in the input. The outermost radius is 1. Given the ratio of the regions, please determine the radii of the inner and intermediate regions.</w:t></w:r></w:p></w:body></w:document>","relationship":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/image","target":"/media/image1.jpeg","relationshipId":"rId1"}]},{"partUri":"/media/image1.jpeg","contentType":"image/jpeg","content":"data:image/jpeg;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/4RE6RXhpZgAATU0AKgAAAAgABAE7AAIAAAAlAAAISodpAAQAAAABAAAIcJydAAEAAABKAAAQ6OocAAcAAAgMAAAAPgAAAAAc6gAAAAgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEtBU1RBTllBIERvZGR5IC0gKE5TJkwpIC0gS0lORUNUUklDUwAAAAWQAwACAAAAFAAAEL6QBAACAAAAFAAAENKSkQACAAAAAzkyAACSkgACAAAAAzkyAADqHAAHAAAIDAAACLIAAAAAHOoAAAAIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAyMDIxOjAxOjIyIDE3OjQ3OjA0ADIwMjE6MDE6MjIgMTc6NDc6MDQAAABLAEEAUwBUAEEATgBZAEEAIABEAG8AZABkAHkAIAAtACAAKABOAFMAJgBMACkAIAAtACAASwBJAE4ARQBDAFQAUgBJAEMAUwAAAP/hCztodHRwOi8vbnMuYWRvYmUuY29tL3hhcC8xLjAvADw/eHBhY2tldCBiZWdpbj0n77u/JyBpZD0nVzVNME1wQ2VoaUh6cmVTek5UY3prYzlkJz8+DQo8eDp4bXBtZXRhIHhtbG5zOng9ImFkb2JlOm5zOm1ldGEvIj48cmRmOlJERiB4bWxuczpyZGY9Imh0dHA6Ly93d3cudzMub3JnLzE5OTkvMDIvMjItcmRmLXN5bnRheC1ucyMiPjxyZGY6RGVzY3JpcHRpb24gcmRmOmFib3V0PSJ1dWlkOmZhZjViZGQ1LWJhM2QtMTFkYS1hZDMxLWQzM2Q3NTE4MmYxYiIgeG1sbnM6ZGM9Imh0dHA6Ly9wdXJsLm9yZy9kYy9lbGVtZW50cy8xLjEvIi8+PHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9InV1aWQ6ZmFmNWJkZDUtYmEzZC0xMWRhLWFkMzEtZDMzZDc1MTgyZjFiIiB4bWxuczp4bXA9Imh0dHA6Ly9ucy5hZG9iZS5jb20veGFwLzEuMC8iPjx4bXA6Q3JlYXRlRGF0ZT4yMDIxLTAxLTIyVDE3OjQ3OjA0LjkyNDwveG1wOkNyZWF0ZURhdGU+PC9yZGY6RGVzY3JpcHRpb24+PHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9InV1aWQ6ZmFmNWJkZDUtYmEzZC0xMWRhLWFkMzEtZDMzZDc1MTgyZjFiIiB4bWxuczpkYz0iaHR0cDovL3B1cmwub3JnL2RjL2VsZW1lbnRzLzEuMS8iPjxkYzpjcmVhdG9yPjxyZGY6U2VxIHhtbG5zOnJkZj0iaHR0cDovL3d3dy53My5vcmcvMTk5OS8wMi8yMi1yZGYtc3ludGF4LW5zIyI+PHJkZjpsaT5LQVNUQU5ZQSBEb2RkeSAtIChOUyZhbXA7TCkgLSBLSU5FQ1RSSUNTPC9yZGY6bGk+PC9yZGY6U2VxPg0KCQkJPC9kYzpjcmVhdG9yPjwvcmRmOkRlc2NyaXB0aW9uPjwvcmRmOlJERj48L3g6eG1wbWV0YT4NCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgPD94cGFja2V0IGVuZD0ndyc/Pv/bAEMABwUFBgUEBwYFBggHBwgKEQsKCQkKFQ8QDBEYFRoZGBUYFxseJyEbHSUdFxgiLiIlKCkrLCsaIC8zLyoyJyorKv/bAEMBBwgICgkKFAsLFCocGBwqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKv/AABEIAWEBZwMBIgACEQEDEQH/xAAfAAABBQEBAQEBAQAAAAAAAAAAAQIDBAUGBwgJCgv/xAC1EAACAQMDAgQDBQUEBAAAAX0BAgMABBEFEiExQQYTUWEHInEUMoGRoQgjQrHBFVLR8CQzYnKCCQoWFxgZGiUmJygpKjQ1Njc4OTpDREVGR0hJSlNUVVZXWFlaY2RlZmdoaWpzdHV2d3h5eoOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4eLj5OXm5+jp6vHy8/T19vf4+fr/xAAfAQADAQEBAQEBAQEBAAAAAAAAAQIDBAUGBwgJCgv/xAC1EQACAQIEBAMEBwUEBAABAncAAQIDEQQFITEGEkFRB2FxEyIygQgUQpGhscEJIzNS8BVictEKFiQ04SXxFxgZGiYnKCkqNTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqCg4SFhoeIiYqSk5SVlpeYmZqio6Slpqeoqaqys7S1tre4ubrCw8TFxsfIycrS09TV1tfY2dri4+Tl5ufo6ery8/T19vf4+fr/2gAMAwEAAhEDEQA/APpGiiigAooooAKKKKACiiigAooooAKKKKACiiigAoqtf6lZaVaNdaneQWdupwZbiQIoPpk8V5l4g/aC8LaYrJosVzrM20FSimGLOeQWcbgcc8KR059E5JbnRRw1av8Aw4t/13PVqCcDJ4FfL+tftAeL9RZhpn2TSYt5K+TCJH29gWfIP1AH4V59qevavrTI2sapeX5TOz7TO0m3PXGTx0H5VDqLoevSyOtLWpJL8f8AI+u9V+I3g/RVP2/xFYhg+wpDJ5zqeeqpkjoeormtS+PvgixdVtp73UQwOWtbYgL9fMK/pmvlmio9oz0IZJh18TbPojUP2k9IiZP7K0G9uQc7zcypDj0xt35/T8aon9pkZ48JnH/YR/8AtVeC0UueR0rKcGl8H4v/ADPd/wDhph93/Iqrtz0/tD/7XTv+GmRn/kUzj/sI/wD2qvBqKOeQ/wCysH/J+L/zPofT/wBpPSZGb+1NAvbYcbTbzJNn1znZjt61vad8fvBF67C5mvtOAAw1zakhvp5Zf/Jr5aop88jOWT4SWya+f+dz7J034leDNWiaS08SaeoVtpFxL5DZ9lk2kj3AxXTqwZQykEEZBHevg+tDTNf1fRWc6Pql7YGQAP8AZrho92OmdpGeppqo+pxVMij/AMu5/f8A0j7hor5d0T4/eMdNfGpPa6tESuRPCI2UDqFZMckdyG6D3z6X4f8A2g/C+pqqa1Dc6NNgli6+dF14AZRuJx6qB71ammeXWyrFUteW/p/Vz1eiq1hqNlqtmt1pl3BeW78LLBIHU+vI4qzVnmNNOzCiiigQUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRUV1dW9jayXN5NHbwRKWkllYKqAdyT0FeI+OP2g4og9l4GjEzkENqFxGQo46xoeSQT1YY4+6c5qXJLc6sPhK2Jlamvn0PXPEPirRPCtmLnX9Rhs0b7iucvJyAdqDLNjIzgcd68S8VftFX1w72/hCwW0hwQLq8UPKeByqA7Vwc9d2eOleOalqd7rGoS32qXUt1dTNukllbLMf88Y7VVrJzbPqMNlFClrU95/h93+Zf1nXNU8Qag17rV9Pe3DZ+eZ87RknCjooyTwMAVQooqD2EklZBRRRQMKKKKACiiigAooooAKKKKACiiigAooooAv6Prmp+H79b3Rb6eyuF43wuV3DIOCOjDIHByDXrvhX9oq+t3S38X2C3kOADdWahJRweWQna2Tjptxz1rxOimm1sc1fC0cQrVI3/AD+8+2vD3irRPFVmbnQNRhvEX76ocPHyQNyHDLnBxkc9q16+FrDULzS71LvTLuezuY87JoJCjrkYOCOehIr3PwP+0IsjR2PjiFY+MDUrdDjOB9+MevPK+w2961VRdT5vFZNUp+9R95duv/BPdqKhtLu3v7SO6sp47i3lXdHLE4ZXHqCODU1aHhNNOzCiiigQUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXMeOPH2keBNJN1qT+bdSA/ZrNGHmTN/RfVj09zgHmfil8XbbwZG2l6L5V3rjgbg3zR2qnu+OrHsv4njAb5m1PVL3WtSn1DVbmS6u523SSyHJY/wBB2AHAHFZynbRHu4DKpVrVK2ke3V/8A6Hxx8Rtc8dXhOpTeTYpIXgsYuEi4wMnqzY7n1OMA4rk6KKxPrIQjTiowVkgooooKCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigDqvBPxE13wLebtLn8yzd901lNzHJ2z/st7j0Gcjivp3wP8Q9F8d6csmnTCG9RN1xYyN+8i6Akf3lyR8w9RnB4r44q1pmp3ujalBqGl3MlrdwNujljOCp/qOxB4I4NVGTR5uNy6lilfaXf/ADPueivMPhV8XLfxhbx6Trjpb67GvB4VLwD+JfR/VfxHGQvp9bpprQ+Nr0KlCbhUWoUUUUzAKKKKACiiigAooooAKKKKACiiigAooooAK8j+LfxeXw0smheGplfV2GJ7gYZbUenoX/l9asfF/wCKieFLSTQ9DkDa1OnzyKf+PRCPvf75HQds5PbPzI8jyyNJKzO7EszMckk9STWM5dEfR5XlqnavWWnRfqLNNLcTyTXEjyyyMXeR2JZmJySSepNMoorM+oCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigB0cjwypLC7RyIwZXU4KkdCD2NfRPwg+L41gQeHPFVxjURhLS8kP8Ax8+iOf8Anp6H+L/e+986UAkHI4IpptM5cVhaeKp8k/k+x940V5L8GfiiPEljH4f1+5J1i3Q+TNK3N2g9+7gde5Azz81etV0Jpq58NiMPPD1HTmFFFFM5wooooAKKKKACiiigAooooAK4f4ofES38BaCPJxLq14rLZwkZC46yN/sjI47nj1I6fxBrtl4a0G71fU5Nlvaxl2xjLnsq56knAHua+N/FXia/8XeI7nV9TcmSZj5cecrDHn5UX2A/Pknkms5ytoj2MrwP1ifPP4V+L7f5mXcXE15dS3N3K808zl5JZGLM7E5JJPUk1HRRWJ9mFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUASW9xNZ3UVzaSvDPC4eOWNirIwOQQR0INfWfwq+IUPjrw4FuX26xZKqXiEAb+wlXHGGwcgdDkdME/JFbHhXxNf+EfEdrq+mORJC3zx5wsyfxI3sR+XBHIFVGVmcGPwccVSt9pbH2zRWX4b8QWPinw9aaxpblre5TIDDDIwOGUj1BBHpxxkVqV0HwsouEnGW6CiiigkKKKKACiiigAoorhfi542bwX4LkeykVdTviYLT1Tj5pMZ/hHQ/3iuRik3ZXNaNKVaoqcd2eN/HHx2/iPxO2h2Mn/ABLdKkZG2scTTdGYjgfKcqOv8RBw1eWUE5OTyaK5m7u5+gUKMaFNU4bIKKKKDYKKKKACiiigAooooAKKKKACgAkgAZJ6AVdtNKuLok48tAcFmH9K3LTS7e0IZV3uP427VhOtGHqddHC1KuuyMC2064umXZGVQn756CtGDw/8ym4l4xyqj9M1tAYGB0pa5ZYib20PSp4GlH4tTPj0azRQChYggkk9cVP/AGfaBSPs8eCc9Ks0Vk6k31OlUaa2iit/Z1n/AM+8f5UHT7QqF+zx4Bz0qzRS55dx+yp/yoz5NGs3UgIVJJIIPTNVJvD+FzBNk4PDjrW3RVqtNdTKWFoy3icpc6Zc2xO5Cy7sBlGc1UIIJBGCOoNdtVK70u3uyWZdjn+Ne9bwxPSRxVcB1ps5air13pNxaoz8PGv8S/4VRrrjJSV0ebOEoO0lYKKKKogKKKKACiiigAooooAKKKKAPU/gd47fw54oXQ76T/iW6tIqDcxxDP0VgOR8xwp6fwknC19PV8HA46V9bfCLxs3jTwWj3sofU7FvIu/V+Plkxn+Id+7BsVrTl0Pmc6wlv9oj8/0f6Hd0UUVqfNBRRRQAUUUUAFfI/wAXPGP/AAl/ju4ktpN+n2Oba0wcqwB+Zx2+ZsnPpt9K9/8Ai94rbwp8PbuW2YreXx+x25BwULg7n4IIwoYgjOG218j1jUfQ+nyTD6OvL0X6hRRRWZ9IFFFFABRRRQAUUUUAFFFSQQSXMyxRLlm/SlsNJt2Q2ON5XCxqWY9gK6Gw0eO3AefEkmBweimrNjYR2MOF+Zz95/WrVcFWu5aR2Paw+DUPenqwooormPQCiiigAooooAKKXY2zdtbb644pKQgooopjCiiigBCMjB6Vl6hoyzZktQEkJyVzwf8ACtWiqjOUHdGVSlCrG0kcW6NFIUkUqynBB7U2up1LTxew/JhZV5U46+xrmJI3icpIpVh2Ir0qdRVEeFiKEqMrdBtFFFanMFFFFABRRRQAUUUUAFd18IvGX/CH+OoHupdmnX2La7yflUE/K55x8rY57KW9a4WigipTjVg4S2Z940VxHwi8Tt4o+HNjNczebe2ebS5Jzksn3SSepKFST3JNdvXSndXPzytSlSqOnLdBRRRTMgooqC9vINOsLi9vJPLt7aJpZXwTtRRknA5PA7UDSbdkfNv7QniE6l46h0iJ2MGlQAMpUY82TDMQRyRt8sc9CDx3Pk9W9V1GbWNYvNSu9vn3k7zybRgbmYsce2TVSuZu7ufoeHoqhRjTXRBRRRSNwooooAKKKKACiiigBVUswVeSTgV1GmWH2KA7iDI/LHHT2rO0XT1l/wBJmGQp+QdifWt6uHEVLvkR7GCoWXtJfIKKKK5D0woorQ0zR59SbcvyQhsNIf6etRKUYK8iZSjBXkUY4nmkCRIXYnAAGa2rPwvcTKr3LiFT1Xq3SujstNttPUi2jwTwWPJNWq8urjpPSnoeZVxknpDQyrfw7YQrh4zMSBkuavLZWqKFW3iAUYHyCp6K4pVZy3ZxSqTluxnlR+X5exdn93HH5Uz7Jbf8+8X/AHwKmoqOZom7Mq48O6fMmEjMJAOChrHvPC9xCrNauJlH8PRuldbRXRDFVYdbm8MRVh1POJInhkKSoUYHBBGKbXoF7p9vfx7LhM+jDhh+Ncfqejz6axZvnhLYWQf19K9Shio1dHoz0qOJjU0ejM+iiius6wrP1aw+1wboxmVOnPUelaFFVGTi7oipBVIuMjiSCCQRgjqKK2ddswrC5QH5jhgBx9axq9SE1ON0fOVabpTcWFFFFWZBRRRQAUUUUAFFFFAHrP7PniQ6X42n0WQZh1eLCn+7JGGZefQqXH1xX0xXw1pOozaPrVlqVrt86zuEnjDDILKwYZHpxX2/aXUN9ZQXdq4eG4jWWNweGVhkH8jWtN9D5PO6HLVjVXX81/wPyJqKKK1PACvPfjhrJ0j4W3qI8scuoSR2kbRnGMncwPPQojg+ucdM16FXgn7SmrAy6HpEc7hlWS6mhBIUg4WNj2J4kHtk+tTJ2R35dT9rioL5/dqeE0UUVzn3gUUUUAFFFFABRRRQAVNa27XVykS/xHk+gqGtjQLfdK9wT935QKzqS5Ytm1Gn7Soom5GixRqiDCqMAU6iivKPpNgooqxY2b314kEXVjyScYHc0m0ldg2krst6Po8mpS73ylup+ZvX2FdnFEkEKxQqERRgKO1MtbWKzt1hgXaij8/c1NXgYiu6svI8OvWdWXkFFFFc5zhRRRQAUUUUAFFFFABTJYkmiaOVQ6MMFT3p9FGwHFazo76dLvjy1ux+Vv7vsay69EuIEurd4ZQSjjBwcVwd9ZyWN48EvVTwQc5HY17eFxHtVyy3R7GFr+0XLLdFeiiiu07RsiLLGyOMqwwRXI3Vu1rcvE38J4PqK7CsPxBBzHONoH3T6n/GunDztK3c8/HU+anzdUYtFFFegeIFFFFABRRRQAUUUUAFfWXwU1xtb+FuniWQyTWDNZSEjGAnKD8I2QV8m171+zXqxKa5o8k3AMd1DFx7rI3r/wA8xVQdmeTm9LnwrfbX9D3eiiiug+KCvlr4+6kb74pzW5QKLC1htwQc7sgy5Pp/rMfhX1LXxr8Sbya++JviGW4kMjrfyxAnHCo2xR+CqB+FZ1Nj3ckhevKXZHMUUUVifXBRRRQAUUUUAFFFFABXWadCYLCJGGDjJ6f0rl7dS9zGoBJLDp1612I4FceKlokepl8dZSFoooriPXCus8MWPk2bXTj5puF9lFczaQG5vIoRj52A5r0FEEaKiDCqMAe1edjqnLFQXU8/G1LRUF1HUUUV5B5QUUUUAFFFFABRRRQAUUUUAFFFFABWF4nsfOs1ukHzw8N7rW7TZEEsTI2cMCDj3rSlUdOakjSnNwmpI84oqS4ha3uZIXGCjEHnNR19GndXPoE7q6Cq2oQ+fYypz0yMAH+dWaQ8iqTs7ilFSi4s4qipblPLupVG7hj94c1FXrrVHy7VnYKKKKYgooooAKKKKACvTPgFqRsfilDbhNwv7Wa3J3Y24HmZ9/8AV4/GvM66n4Z3sth8T/D80G3c19HCd392Q7G/RjTWjOfFQ56E490z7IooorpPzwK+Htf1A6t4l1PUXTy2vLuWcoDnbuctjPfrX3DXwjMczyf7x/nWVTofS5Cleo/T9RlFFFZH0wUUUUAFFFFABRRRQBc0pS2pw4BODk47cV1Vc1of/ISH+4a6WvPxL989vAL9035hRRRXMegavhuLzNYQlNwRSScZx6Gu0rlfCf8Ax+z/APXP+tdVXiY13q2PGxjvVCiiiuI4wooooAKKKKACiiigAooooAKKKKACiiigDifEUax61LsGNwDH6kVmVv8Aiz/j9g/65/1rAr6HDu9KLPew7vSiwooorc3OW1cAanLhCvTr396pVo65/wAhI/7grOr1afwI+arq1WXqFFFFaGIUUUUAFFFFABWn4bv10rxVpOoSBitpewzsFGSQrhuM9+KzKfD/AK+P/eH86BNKSsz7uooorqPzUK+EZuLiT/eP86+7q+JPFdlHpvjLWbGBdsVtfzxIuScKshA689BWVTofSZDJXqL0/UyaKKKyPpwooooAKKKKACiiigDR0P8A5CQ/3DXS1yuk7f7Ti3568Y9a6qvPxPxnt4B/un6hRRRXMegbvhRgL+YEgFo+BnrzXWVxHh+VYdah3Z+bKjHqa7evExytVueNjFarcKKKK4jjCiiigAooooAKKKKACiiigAooooAKKKKAOV8Wf8fsH/XP+tYFafiGRZNal2HO0BT7ECsyvocOrUoo97Dq1KKCiiitzc5rW2B1I4IOFAOO1Z1W9TZW1KYpyM8nOcmqletTVoI+arO9ST8woooqzEKKKKACiiigAp8AzcRj/aH86ZWt4UsYtT8ZaNY3C7orm/ghkAOMq0gB5HsaBSlyptn23RRRXUfmoV8dfFKwbTfilr8DtuL3bT5xjiQCQD8A+K+xa+Xv2gdOSy+JxuUZib+yincE9CMx4HtiMH8TWdTY93JJ2xDj3R5fRRRWJ9cFFFFABRRRQAUUUUAS28nlXMb7Q21gcN0rsAcqCO9cVXV6bc/abJGJXcBhgvauPEx0TPUy+dm4luiiiuI9cfDK0MySISGUggg4r0K3mW4t45kxh1B4OcV51XUeF7/fE1nI3zJ80eT27ivPxtPmhzLocGMp80eZdDoaKKK8c8kKKKKACiiigAooooAKKKKACiiigAqOeZbe3klfGEUnk4qSue8UX+yJLONuX+aTB7dhWtGm6k1E1pU3UmonNTStNM8jklmJJyc0yiivoj39gprNtRm9BmnVS1WfyNPcg4ZvlHODVRXM0iaklCDk+hzEj+ZKz4xuYnFNoor2D5gKKKKBBRRRQAUUUUAFdX8L7CXUvij4fhgKhkvEnO4nG2P943TvhTXKV6h+z9py3vxOFy7FTYWcs6gfxE4jwfwkJ/Cmtznxc+TDzl5M+oaKKK6T88CvD/2k9JeTTNE1dAuyGaS2kPclwGX8Pkb8xXuFcT8YNE/tz4XatGqI01pGLuIt/CYzuYj32bx+NTJXR3ZfV9lioS87ffofIlFFFc596FFFFABRRRQAUUUUAFbOg3LCRrckbSNwyTxWNUkErQTpKnVTms6keeLRtRqezqKR2VFQ2tyl3brLHnB7HsamrymmnZn0iakroKltrmS0uEmhYqynt39qiopNJqzBpNWZ6DZXaX1ok8XAYcjOdp9KsVwemanLptxuT5o2++mev/167a1uory3Wa3bcjfp7GvCxGHdKV1seJXoOk/ImooorlOYKKKKACiiigAooooAKKKhurqKzt2muG2ov6+woSbdkNJt2Qy+vY7C0aeXJA4AHc+lcJc3Ml3cPNMxZmPft7VY1PU5dSuN7/LGv3EzwB/jVKvcw2H9lG73Z7OGoeyV3uwooorsOsK5/X52a4SD+FBu+pNbk86W8LSyEBVHfvXITStPO8r9WOa6sNC8uY87HVEoci3Yyiiiu88UKKKKACiiigAooooAK9+/Zr0pls9c1aS3XbI8VtDOcZ+UFnUdwPmjJ7Hj0rwGvrn4O6D/AGD8L9LR0VZ71TeylWJ3GTlT7HZsGPUVcF7x5GcVeTCuP8zS/X9DuKKKK3PiwpHRZI2RwGVgQwPcUtFAHxD4j0abw74l1DSLkNvs52iyyFd6g/K2D2IwR7GsyvZP2ifDQsvEll4gt0by9Rj8q4OCQJYwACT0GUwAOPuE+teN1zNWdj9DwtZV6Mandfj1CiiikdAUUUUAFFFFABRRRQBpaRfm3mEMrHynPHGcGukria6HRr/z4vIlJMiDgk9RXHiKf20ergsR/wAu5fI1aKKK4j1gq1Y6jcafKHgfC5yyHo31qrRUyipKzJlFSVmdxp+tWuoKAGEUuf8AVsefw9etaNebAkEEcEdDWnZ6/e2iqu8Sov8AC/PbHWvMq4HrTZ51TBPeDO2orBt/FVsy/wCkxPGwA+7yD61f/tvTv+ftPyNcUqFWLs4nFKjUi7NF+iqv9p2Xked9pj2eu73x0qFtc05VJ+0qcDOADk1CpzeyZKpzeyNCisG48VWyL/o0TyMQfvcAHtWPea/e3asm8RI38Kcdsda6IYOrLdWN4YWrLdWOk1HW7XT/AJSfNl/uIenPc9q5K+1G41CUvO+VzlUHRfpVUkkknknqaK9Sjh4UtVuelRw8KWu7Ciiiuk6QoorN1bUTaRiOEjzW/wDHR61UYuTsjOpUjTi5SKGt3qzzCCPBWM5LA9TWVQSSSSck9TRXqQioRsj52rUdSbkwoooqzIKKKKACiiigAooooA0/DmizeIvE2n6Rb7g95cJEWVC2xSfmbA7AZJ9ga+24IIrW3jgto1ihiQJHGgwqKBgADsAK+dP2dvDTXvii88QTxZg0+IxQuSw/fPwcdjhNwIJ43rx6fR1bU1pc+Szqvz1lSX2fzf8AwLBRRRWh4IUUUUAcp8S/C58XeAdQ02BA12q+fa5UE+anIAyRgsMrntur45IwcHg19418r/G/wcPDPjdr20j22GrBp48dFkz+8Xr6kN6fPgdKyqLqfS5JibN0Jeq/X+vU82ooorI+mCiiigAooooAKKKKACnI7RuHjYqynII7U2igex02napHdoElISbpj+99K0K4kEggg4I6EVtabrARRDeMcDhX/wAa4auHtrE9bD4y/u1PvNyimo6yIGjYMp6EGnVyHp7hRRRQMKKKKACiiigAooooAKKKKACimu6xoXchVUZJPasa+1z70doPbzD/AEq4U5TehjVrQpK8mXNR1NLOPbGQ8x6D09zXNPI0sjPIxZmOST3ppJJJJyT1NFejTpqmtDw6+IlWd3sFFFFanMFFFFABRRRQAUUUUAFAGTgcmivSfgh4PHibxwt9dx7rDSNtxJno8uf3a9fUFu4+TB60bmVarGjTdSWyPfvhr4XPhHwDp+mzIq3bKZ7rCgHzX5IOCclRhc99orqqKK6UrKx+e1Kkqs3OW7CiiimZhRRRQAVyfxJ8Gp438GXGmqVS7jYT2kjZwsi54OOxBK+2c4OK6yik1dWNKVSVKanHdHwjNDLbXEkFxG0UsTFHRxhlYHBBHY5plezfHn4ftpuqnxXpcLNaXr/6aqIAsEvAD8dnPU4+93+YCvGa52rOx+gYevHEUlUj1CiiikbhRRRQAUUUUAFFFFABRRRQBYtb2ezYmF8A9VPINbllrMNwdk37p+2Twea5uisp0oz3OmjiKlLZ6djtEdZEDRsGU9CDTq4+C6mtmBhcrznHY1fg16dNomVZAOp6E9P/AK9cksNJbHo08fBr3lY6GismPX4So8yN1OQDjn6mpxrNkVZvMI29ivJrJ0prodMcRRltIv0Vn/23Zf32/wC+TR/bVltB3t16bTS9nPsP6xS/mRoUVkya/CFPlxuxyQM8fQ1Sm125fIjCxgjHqauNCb6GUsZRj1udC7rGhaRgqjqSazbrW4IflgHmt6jpWHPdTXLEzOW53Y7Coa6IYZLWRxVcfJ6QVizc39xdZEsnyk52jgVWoorqSSVkefKTk7yYUUUUyQooooAKKKKACiiigAooooAfDDLc3EcFvG0ssjBERBlmYnAAHc5r7C+G3g1fA/gy302Qq15ITPduvRpWxwPYABffGe9eR/AT4f8A9oX/APwlmqwhrW1cpYo6/flGMyc9l6D/AGvQrX0RWtOPU+WznF80vYQ2W/r2CiiitT50KKKKACiiigAooooAqarpVlrelXGm6pbrc2lymyWJ+hH9CDggjkEZr5A8e+Cb7wN4ll0+7VmtpCXs585EseeOcD5h0I9fYgn7KrlfiH4Hs/HXhiWymRFvoVZ7K4PBikx0J/unABHpz1AqJxuerluOeGqcsvhe/l5/5nxxRVzVdKvdE1SfTtVt3tru3fZJG45B/qD1BHBHNU6wPtk01dBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXT+AfBN7458TRadahktkIe7uO0Meef+BHoB3PsCRiaTpN9rurW+m6TbPc3dw+yOJOpPr6AAckngAEmvr3wD4GsPAfh1bC0AlupcPd3RX5pnx/6COcDtk9ySajHmZ5uYY1YWnp8T2/zN/TdOtdI0u20/T4hFbWsSxRIOygYH1PvVmiiug+HbcndhRRRQIKKKKACiiigAooooAKKKKAPPfiz8No/HGifadPiRdcs1/0dywXzlzkxsfz256HuATXyrc209ndS213C8E8LlJIpFKsjA4IIPQg192V5p8VPhNb+Nof7T0jyrXXIwAXbhLpR/C+OjAdG/A8YK5zjfVHvZZmXsbUavw9H2/4H5HyzRVrUtNvdH1Kew1S2ktbuBtskUgwVP8AhjkHoQc1VrE+tTTV0FFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABU9jY3WpX0NlYQPcXM7hI4oxlmJ7Cn6bpt5rGpQafplu9zd3D7Iooxyx/oO+egHNfUfwt+Flr4GsRe6gI7nW51xJKOVgU/wJ/U9/pTSbehxYzGU8LDmlv0RL8Lfhna+BdJFxdqk2t3Kf6RN1EQ/wCeaew7nufbAHf0UV0JJKx8PWrTrzdSb1YUUUUzEKKKKACiiigAooooAKKKKACiiigAooooA4n4jfDPTvH9ijM4s9UgGILwJnI/uOO6/qDyO4Py34m8M6p4S1yXStag8qePlWXlJV7Op7g//WOCCK+2qyPE/hfSvF2iyaZrduJYX5R14eJuzoexH/1jkEis5Qvqj2MBmc8PaE9Y/l/XY+JaK9F+IXwf1jwY8t7Yq2paNuJE8a5eFev71QOO/wAw445xkCvOqx2Pr6VaFaHPTd0FFFFBoFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABWz4Y8Kav4v1dNP0O0aeQn95IRiOFf7zt0UcH69Bk8V1nw9+D2seM2ivr7dpujbhmeRcSTrjP7pT1HQbjxzxuwRX0r4Z8L6V4R0WLTNEtxDCnLueXlbu7nuT/9YYAAq4xbPIx2aU8PeENZfgvX/IwPh18M9N8A6exUrearMP396yYIH9xB/Cv6k8nsB21FFbJJbHyFWrOtNzm7thRRRTMgooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAAjIweRXlHjj4EaN4geW+8Ouuj3xX/UpGPs8hAP8I+4Sccjjj7pJr1eik0nub0MRVw8uam7HxP4k8J614S1A2mu2Ets24iOUjMcuMco/RhyOnTPODWNX3TfWFnqdm9pqVrDd20mN8M8YdGwcjIPHWvIfFX7O+l30j3HhS+bTHIJ+yz5liJwMYb7yjrnO7rxjGKycGtj6bDZzTn7tZcr79P+AfOlFdL4n+H/AIl8IzSDWNMmECHi7hBkhYZwDvHAz6HB5HFc1WZ7kJxnHmi7oKKKKCgooooAKKKKACiiigAooooAKKKKACiiigAorpfC/wAPvEvi+ZBo2mStbsebuYeXCoyATvPBxnouT14r2Twj+zxp1ltufGF3/aM3/PpasyQjqOW4Zv4TxtwQRyKai3scWIx1DD/HLXst/wCvU8Q8NeEdb8XagLTQbCW5IYCSXGI4c5OXfovQ+5xgZPFfQPgf4EaN4faO98Rsms34B/csg+zRkgfwkZcjnluOfugjNen2VjaabZpaadaw2ltHnZDBGERcnJwo4HJJqetVBLc+axWbVq3u0/dX4/eFFFFaHjBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAARkYPIriPEHwg8F+IVYyaSlhOVCifTz5JUA5+6PkJPTJUnH0FdvRSaT3NadapSd6cmj571z9m/UIpS/hzWre4iJY+XeqY2QZ+UblDBjjqcL06c8cBqnws8baQV+1eHLyQMCQbVRcAY9fLLY696+w6Kh010PVpZ1iIaTtL+vI+D2VkOHUqfQjFJX3NqGk6dq0SxarYWt7Gp3KlzCsgB9cMD6mud1H4V+CNUZWuvDdmhXOPswaDOfXyyufxqfZs9GGe0n8cGvTX/ACPjuivqbUPgH4IvWQ29ve6ftzkW10Tu+vmBuntjrVE/s5+ESf8Aj/1oe3nxf/G6XIzoWc4Vrr9x8z0V9Kj9nHwpu51LWNvp5sX/AMbp3/DOfhHP/IQ1r/v/ABf/ABujkkP+2MJ3f3HzRRX1Np/wD8EWTMbiC91ANjAubogL16eWF/X0rd074VeB9LZmtfDdm5br9pDXA/ASFsdaPZszlneHXwpv+vU+P4opJ5VigjaSRyFVEXJY+gFdVpfws8bauX+y+HLyMIASbpRbg59PMK5/DNfXOn6Vp2kQtDpVha2MTtuZLaFY1Y9MkKBzVuqVPucVTPZf8u4fefPui/s230mH8Q65BbgMCYrKIyFl7je23afwIr0rw/8AB7wX4fUFNJTUJ9pUzajickE5+6RsBHqFBruKKtRSPLrZjia2kpWXloFFFFUcAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQB//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: 20.4333px; 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: rgb(0, 0, 0); white-space: normal; "><div style="block-size: 439.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 219.75px; transform-origin: 407px 219.75px; 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: 315px 8px; transform-origin: 315px 8px; unicode-bidi: normal; "><span style="">Consider a circle which has been divided into three concentric circles as depicted in the figure below</span></span></div><div style="block-size: 358.5px; 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 179.25px; text-align: left; transform-origin: 384px 179.25px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><img class="imageNode" style="vertical-align: baseline;width: 359px;height: 353px" src="data:image/jpeg;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/4RE6RXhpZgAATU0AKgAAAAgABAE7AAIAAAAlAAAISodpAAQAAAABAAAIcJydAAEAAABKAAAQ6OocAAcAAAgMAAAAPgAAAAAc6gAAAAgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEtBU1RBTllBIERvZGR5IC0gKE5TJkwpIC0gS0lORUNUUklDUwAAAAWQAwACAAAAFAAAEL6QBAACAAAAFAAAENKSkQACAAAAAzkyAACSkgACAAAAAzkyAADqHAAHAAAIDAAACLIAAAAAHOoAAAAIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAyMDIxOjAxOjIyIDE3OjQ3OjA0ADIwMjE6MDE6MjIgMTc6NDc6MDQAAABLAEEAUwBUAEEATgBZAEEAIABEAG8AZABkAHkAIAAtACAAKABOAFMAJgBMACkAIAAtACAASwBJAE4ARQBDAFQAUgBJAEMAUwAAAP/hCztodHRwOi8vbnMuYWRvYmUuY29tL3hhcC8xLjAvADw/eHBhY2tldCBiZWdpbj0n77u/JyBpZD0nVzVNME1wQ2VoaUh6cmVTek5UY3prYzlkJz8+DQo8eDp4bXBtZXRhIHhtbG5zOng9ImFkb2JlOm5zOm1ldGEvIj48cmRmOlJERiB4bWxuczpyZGY9Imh0dHA6Ly93d3cudzMub3JnLzE5OTkvMDIvMjItcmRmLXN5bnRheC1ucyMiPjxyZGY6RGVzY3JpcHRpb24gcmRmOmFib3V0PSJ1dWlkOmZhZjViZGQ1LWJhM2QtMTFkYS1hZDMxLWQzM2Q3NTE4MmYxYiIgeG1sbnM6ZGM9Imh0dHA6Ly9wdXJsLm9yZy9kYy9lbGVtZW50cy8xLjEvIi8+PHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9InV1aWQ6ZmFmNWJkZDUtYmEzZC0xMWRhLWFkMzEtZDMzZDc1MTgyZjFiIiB4bWxuczp4bXA9Imh0dHA6Ly9ucy5hZG9iZS5jb20veGFwLzEuMC8iPjx4bXA6Q3JlYXRlRGF0ZT4yMDIxLTAxLTIyVDE3OjQ3OjA0LjkyNDwveG1wOkNyZWF0ZURhdGU+PC9yZGY6RGVzY3JpcHRpb24+PHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9InV1aWQ6ZmFmNWJkZDUtYmEzZC0xMWRhLWFkMzEtZDMzZDc1MTgyZjFiIiB4bWxuczpkYz0iaHR0cDovL3B1cmwub3JnL2RjL2VsZW1lbnRzLzEuMS8iPjxkYzpjcmVhdG9yPjxyZGY6U2VxIHhtbG5zOnJkZj0iaHR0cDovL3d3dy53My5vcmcvMTk5OS8wMi8yMi1yZGYtc3ludGF4LW5zIyI+PHJkZjpsaT5LQVNUQU5ZQSBEb2RkeSAtIChOUyZhbXA7TCkgLSBLSU5FQ1RSSUNTPC9yZGY6bGk+PC9yZGY6U2VxPg0KCQkJPC9kYzpjcmVhdG9yPjwvcmRmOkRlc2NyaXB0aW9uPjwvcmRmOlJERj48L3g6eG1wbWV0YT4NCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgPD94cGFja2V0IGVuZD0ndyc/Pv/bAEMABwUFBgUEBwYFBggHBwgKEQsKCQkKFQ8QDBEYFRoZGBUYFxseJyEbHSUdFxgiLiIlKCkrLCsaIC8zLyoyJyorKv/bAEMBBwgICgkKFAsLFCocGBwqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKv/AABEIAWEBZwMBIgACEQEDEQH/xAAfAAABBQEBAQEBAQAAAAAAAAAAAQIDBAUGBwgJCgv/xAC1EAACAQMDAgQDBQUEBAAAAX0BAgMABBEFEiExQQYTUWEHInEUMoGRoQgjQrHBFVLR8CQzYnKCCQoWFxgZGiUmJygpKjQ1Njc4OTpDREVGR0hJSlNUVVZXWFlaY2RlZmdoaWpzdHV2d3h5eoOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4eLj5OXm5+jp6vHy8/T19vf4+fr/xAAfAQADAQEBAQEBAQEBAAAAAAAAAQIDBAUGBwgJCgv/xAC1EQACAQIEBAMEBwUEBAABAncAAQIDEQQFITEGEkFRB2FxEyIygQgUQpGhscEJIzNS8BVictEKFiQ04SXxFxgZGiYnKCkqNTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqCg4SFhoeIiYqSk5SVlpeYmZqio6Slpqeoqaqys7S1tre4ubrCw8TFxsfIycrS09TV1tfY2dri4+Tl5ufo6ery8/T19vf4+fr/2gAMAwEAAhEDEQA/APpGiiigAooooAKKKKACiiigAooooAKKKKACiiigAoqtf6lZaVaNdaneQWdupwZbiQIoPpk8V5l4g/aC8LaYrJosVzrM20FSimGLOeQWcbgcc8KR059E5JbnRRw1av8Aw4t/13PVqCcDJ4FfL+tftAeL9RZhpn2TSYt5K+TCJH29gWfIP1AH4V59qevavrTI2sapeX5TOz7TO0m3PXGTx0H5VDqLoevSyOtLWpJL8f8AI+u9V+I3g/RVP2/xFYhg+wpDJ5zqeeqpkjoeormtS+PvgixdVtp73UQwOWtbYgL9fMK/pmvlmio9oz0IZJh18TbPojUP2k9IiZP7K0G9uQc7zcypDj0xt35/T8aon9pkZ48JnH/YR/8AtVeC0UueR0rKcGl8H4v/ADPd/wDhph93/Iqrtz0/tD/7XTv+GmRn/kUzj/sI/wD2qvBqKOeQ/wCysH/J+L/zPofT/wBpPSZGb+1NAvbYcbTbzJNn1znZjt61vad8fvBF67C5mvtOAAw1zakhvp5Zf/Jr5aop88jOWT4SWya+f+dz7J034leDNWiaS08SaeoVtpFxL5DZ9lk2kj3AxXTqwZQykEEZBHevg+tDTNf1fRWc6Pql7YGQAP8AZrho92OmdpGeppqo+pxVMij/AMu5/f8A0j7hor5d0T4/eMdNfGpPa6tESuRPCI2UDqFZMckdyG6D3z6X4f8A2g/C+pqqa1Dc6NNgli6+dF14AZRuJx6qB71ammeXWyrFUteW/p/Vz1eiq1hqNlqtmt1pl3BeW78LLBIHU+vI4qzVnmNNOzCiiigQUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRUV1dW9jayXN5NHbwRKWkllYKqAdyT0FeI+OP2g4og9l4GjEzkENqFxGQo46xoeSQT1YY4+6c5qXJLc6sPhK2Jlamvn0PXPEPirRPCtmLnX9Rhs0b7iucvJyAdqDLNjIzgcd68S8VftFX1w72/hCwW0hwQLq8UPKeByqA7Vwc9d2eOleOalqd7rGoS32qXUt1dTNukllbLMf88Y7VVrJzbPqMNlFClrU95/h93+Zf1nXNU8Qag17rV9Pe3DZ+eZ87RknCjooyTwMAVQooqD2EklZBRRRQMKKKKACiiigAooooAKKKKACiiigAooooAv6Prmp+H79b3Rb6eyuF43wuV3DIOCOjDIHByDXrvhX9oq+t3S38X2C3kOADdWahJRweWQna2Tjptxz1rxOimm1sc1fC0cQrVI3/AD+8+2vD3irRPFVmbnQNRhvEX76ocPHyQNyHDLnBxkc9q16+FrDULzS71LvTLuezuY87JoJCjrkYOCOehIr3PwP+0IsjR2PjiFY+MDUrdDjOB9+MevPK+w2961VRdT5vFZNUp+9R95duv/BPdqKhtLu3v7SO6sp47i3lXdHLE4ZXHqCODU1aHhNNOzCiiigQUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXMeOPH2keBNJN1qT+bdSA/ZrNGHmTN/RfVj09zgHmfil8XbbwZG2l6L5V3rjgbg3zR2qnu+OrHsv4njAb5m1PVL3WtSn1DVbmS6u523SSyHJY/wBB2AHAHFZynbRHu4DKpVrVK2ke3V/8A6Hxx8Rtc8dXhOpTeTYpIXgsYuEi4wMnqzY7n1OMA4rk6KKxPrIQjTiowVkgooooKCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigDqvBPxE13wLebtLn8yzd901lNzHJ2z/st7j0Gcjivp3wP8Q9F8d6csmnTCG9RN1xYyN+8i6Akf3lyR8w9RnB4r44q1pmp3ujalBqGl3MlrdwNujljOCp/qOxB4I4NVGTR5uNy6lilfaXf/ADPueivMPhV8XLfxhbx6Trjpb67GvB4VLwD+JfR/VfxHGQvp9bpprQ+Nr0KlCbhUWoUUUUzAKKKKACiiigAooooAKKKKACiiigAooooAK8j+LfxeXw0smheGplfV2GJ7gYZbUenoX/l9asfF/wCKieFLSTQ9DkDa1OnzyKf+PRCPvf75HQds5PbPzI8jyyNJKzO7EszMckk9STWM5dEfR5XlqnavWWnRfqLNNLcTyTXEjyyyMXeR2JZmJySSepNMoorM+oCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigB0cjwypLC7RyIwZXU4KkdCD2NfRPwg+L41gQeHPFVxjURhLS8kP8Ax8+iOf8Anp6H+L/e+986UAkHI4IpptM5cVhaeKp8k/k+x940V5L8GfiiPEljH4f1+5J1i3Q+TNK3N2g9+7gde5Azz81etV0Jpq58NiMPPD1HTmFFFFM5wooooAKKKKACiiigAooooAK4f4ofES38BaCPJxLq14rLZwkZC46yN/sjI47nj1I6fxBrtl4a0G71fU5Nlvaxl2xjLnsq56knAHua+N/FXia/8XeI7nV9TcmSZj5cecrDHn5UX2A/Pknkms5ytoj2MrwP1ifPP4V+L7f5mXcXE15dS3N3K808zl5JZGLM7E5JJPUk1HRRWJ9mFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUASW9xNZ3UVzaSvDPC4eOWNirIwOQQR0INfWfwq+IUPjrw4FuX26xZKqXiEAb+wlXHGGwcgdDkdME/JFbHhXxNf+EfEdrq+mORJC3zx5wsyfxI3sR+XBHIFVGVmcGPwccVSt9pbH2zRWX4b8QWPinw9aaxpblre5TIDDDIwOGUj1BBHpxxkVqV0HwsouEnGW6CiiigkKKKKACiiigAoorhfi542bwX4LkeykVdTviYLT1Tj5pMZ/hHQ/3iuRik3ZXNaNKVaoqcd2eN/HHx2/iPxO2h2Mn/ABLdKkZG2scTTdGYjgfKcqOv8RBw1eWUE5OTyaK5m7u5+gUKMaFNU4bIKKKKDYKKKKACiiigAooooAKKKKACgAkgAZJ6AVdtNKuLok48tAcFmH9K3LTS7e0IZV3uP427VhOtGHqddHC1KuuyMC2064umXZGVQn756CtGDw/8ym4l4xyqj9M1tAYGB0pa5ZYib20PSp4GlH4tTPj0azRQChYggkk9cVP/AGfaBSPs8eCc9Ks0Vk6k31OlUaa2iit/Z1n/AM+8f5UHT7QqF+zx4Bz0qzRS55dx+yp/yoz5NGs3UgIVJJIIPTNVJvD+FzBNk4PDjrW3RVqtNdTKWFoy3icpc6Zc2xO5Cy7sBlGc1UIIJBGCOoNdtVK70u3uyWZdjn+Ne9bwxPSRxVcB1ps5air13pNxaoz8PGv8S/4VRrrjJSV0ebOEoO0lYKKKKogKKKKACiiigAooooAKKKKAPU/gd47fw54oXQ76T/iW6tIqDcxxDP0VgOR8xwp6fwknC19PV8HA46V9bfCLxs3jTwWj3sofU7FvIu/V+Plkxn+Id+7BsVrTl0Pmc6wlv9oj8/0f6Hd0UUVqfNBRRRQAUUUUAFfI/wAXPGP/AAl/ju4ktpN+n2Oba0wcqwB+Zx2+ZsnPpt9K9/8Ai94rbwp8PbuW2YreXx+x25BwULg7n4IIwoYgjOG218j1jUfQ+nyTD6OvL0X6hRRRWZ9IFFFFABRRRQAUUUUAFFFSQQSXMyxRLlm/SlsNJt2Q2ON5XCxqWY9gK6Gw0eO3AefEkmBweimrNjYR2MOF+Zz95/WrVcFWu5aR2Paw+DUPenqwooormPQCiiigAooooAKKXY2zdtbb644pKQgooopjCiiigBCMjB6Vl6hoyzZktQEkJyVzwf8ACtWiqjOUHdGVSlCrG0kcW6NFIUkUqynBB7U2up1LTxew/JhZV5U46+xrmJI3icpIpVh2Ir0qdRVEeFiKEqMrdBtFFFanMFFFFABRRRQAUUUUAFd18IvGX/CH+OoHupdmnX2La7yflUE/K55x8rY57KW9a4WigipTjVg4S2Z940VxHwi8Tt4o+HNjNczebe2ebS5Jzksn3SSepKFST3JNdvXSndXPzytSlSqOnLdBRRRTMgooqC9vINOsLi9vJPLt7aJpZXwTtRRknA5PA7UDSbdkfNv7QniE6l46h0iJ2MGlQAMpUY82TDMQRyRt8sc9CDx3Pk9W9V1GbWNYvNSu9vn3k7zybRgbmYsce2TVSuZu7ufoeHoqhRjTXRBRRRSNwooooAKKKKACiiigBVUswVeSTgV1GmWH2KA7iDI/LHHT2rO0XT1l/wBJmGQp+QdifWt6uHEVLvkR7GCoWXtJfIKKKK5D0woorQ0zR59SbcvyQhsNIf6etRKUYK8iZSjBXkUY4nmkCRIXYnAAGa2rPwvcTKr3LiFT1Xq3SujstNttPUi2jwTwWPJNWq8urjpPSnoeZVxknpDQyrfw7YQrh4zMSBkuavLZWqKFW3iAUYHyCp6K4pVZy3ZxSqTluxnlR+X5exdn93HH5Uz7Jbf8+8X/AHwKmoqOZom7Mq48O6fMmEjMJAOChrHvPC9xCrNauJlH8PRuldbRXRDFVYdbm8MRVh1POJInhkKSoUYHBBGKbXoF7p9vfx7LhM+jDhh+Ncfqejz6axZvnhLYWQf19K9Shio1dHoz0qOJjU0ejM+iiius6wrP1aw+1wboxmVOnPUelaFFVGTi7oipBVIuMjiSCCQRgjqKK2ddswrC5QH5jhgBx9axq9SE1ON0fOVabpTcWFFFFWZBRRRQAUUUUAFFFFAHrP7PniQ6X42n0WQZh1eLCn+7JGGZefQqXH1xX0xXw1pOozaPrVlqVrt86zuEnjDDILKwYZHpxX2/aXUN9ZQXdq4eG4jWWNweGVhkH8jWtN9D5PO6HLVjVXX81/wPyJqKKK1PACvPfjhrJ0j4W3qI8scuoSR2kbRnGMncwPPQojg+ucdM16FXgn7SmrAy6HpEc7hlWS6mhBIUg4WNj2J4kHtk+tTJ2R35dT9rioL5/dqeE0UUVzn3gUUUUAFFFFABRRRQAVNa27XVykS/xHk+gqGtjQLfdK9wT935QKzqS5Ytm1Gn7Soom5GixRqiDCqMAU6iivKPpNgooqxY2b314kEXVjyScYHc0m0ldg2krst6Po8mpS73ylup+ZvX2FdnFEkEKxQqERRgKO1MtbWKzt1hgXaij8/c1NXgYiu6svI8OvWdWXkFFFFc5zhRRRQAUUUUAFFFFABTJYkmiaOVQ6MMFT3p9FGwHFazo76dLvjy1ux+Vv7vsay69EuIEurd4ZQSjjBwcVwd9ZyWN48EvVTwQc5HY17eFxHtVyy3R7GFr+0XLLdFeiiiu07RsiLLGyOMqwwRXI3Vu1rcvE38J4PqK7CsPxBBzHONoH3T6n/GunDztK3c8/HU+anzdUYtFFFegeIFFFFABRRRQAUUUUAFfWXwU1xtb+FuniWQyTWDNZSEjGAnKD8I2QV8m171+zXqxKa5o8k3AMd1DFx7rI3r/wA8xVQdmeTm9LnwrfbX9D3eiiiug+KCvlr4+6kb74pzW5QKLC1htwQc7sgy5Pp/rMfhX1LXxr8Sbya++JviGW4kMjrfyxAnHCo2xR+CqB+FZ1Nj3ckhevKXZHMUUUVifXBRRRQAUUUUAFFFFABXWadCYLCJGGDjJ6f0rl7dS9zGoBJLDp1612I4FceKlokepl8dZSFoooriPXCus8MWPk2bXTj5puF9lFczaQG5vIoRj52A5r0FEEaKiDCqMAe1edjqnLFQXU8/G1LRUF1HUUUV5B5QUUUUAFFFFABRRRQAUUUUAFFFFABWF4nsfOs1ukHzw8N7rW7TZEEsTI2cMCDj3rSlUdOakjSnNwmpI84oqS4ha3uZIXGCjEHnNR19GndXPoE7q6Cq2oQ+fYypz0yMAH+dWaQ8iqTs7ilFSi4s4qipblPLupVG7hj94c1FXrrVHy7VnYKKKKYgooooAKKKKACvTPgFqRsfilDbhNwv7Wa3J3Y24HmZ9/8AV4/GvM66n4Z3sth8T/D80G3c19HCd392Q7G/RjTWjOfFQ56E490z7IooorpPzwK+Htf1A6t4l1PUXTy2vLuWcoDnbuctjPfrX3DXwjMczyf7x/nWVTofS5Cleo/T9RlFFFZH0wUUUUAFFFFABRRRQBc0pS2pw4BODk47cV1Vc1of/ISH+4a6WvPxL989vAL9035hRRRXMegavhuLzNYQlNwRSScZx6Gu0rlfCf8Ax+z/APXP+tdVXiY13q2PGxjvVCiiiuI4wooooAKKKKACiiigAooooAKKKKACiiigDifEUax61LsGNwDH6kVmVv8Aiz/j9g/65/1rAr6HDu9KLPew7vSiwooorc3OW1cAanLhCvTr396pVo65/wAhI/7grOr1afwI+arq1WXqFFFFaGIUUUUAFFFFABWn4bv10rxVpOoSBitpewzsFGSQrhuM9+KzKfD/AK+P/eH86BNKSsz7uooorqPzUK+EZuLiT/eP86+7q+JPFdlHpvjLWbGBdsVtfzxIuScKshA689BWVTofSZDJXqL0/UyaKKKyPpwooooAKKKKACiiigDR0P8A5CQ/3DXS1yuk7f7Ti3568Y9a6qvPxPxnt4B/un6hRRRXMegbvhRgL+YEgFo+BnrzXWVxHh+VYdah3Z+bKjHqa7evExytVueNjFarcKKKK4jjCiiigAooooAKKKKACiiigAooooAKKKKAOV8Wf8fsH/XP+tYFafiGRZNal2HO0BT7ECsyvocOrUoo97Dq1KKCiiitzc5rW2B1I4IOFAOO1Z1W9TZW1KYpyM8nOcmqletTVoI+arO9ST8woooqzEKKKKACiiigAp8AzcRj/aH86ZWt4UsYtT8ZaNY3C7orm/ghkAOMq0gB5HsaBSlyptn23RRRXUfmoV8dfFKwbTfilr8DtuL3bT5xjiQCQD8A+K+xa+Xv2gdOSy+JxuUZib+yincE9CMx4HtiMH8TWdTY93JJ2xDj3R5fRRRWJ9cFFFFABRRRQAUUUUAS28nlXMb7Q21gcN0rsAcqCO9cVXV6bc/abJGJXcBhgvauPEx0TPUy+dm4luiiiuI9cfDK0MySISGUggg4r0K3mW4t45kxh1B4OcV51XUeF7/fE1nI3zJ80eT27ivPxtPmhzLocGMp80eZdDoaKKK8c8kKKKKACiiigAooooAKKKKACiiigAqOeZbe3klfGEUnk4qSue8UX+yJLONuX+aTB7dhWtGm6k1E1pU3UmonNTStNM8jklmJJyc0yiivoj39gprNtRm9BmnVS1WfyNPcg4ZvlHODVRXM0iaklCDk+hzEj+ZKz4xuYnFNoor2D5gKKKKBBRRRQAUUUUAFdX8L7CXUvij4fhgKhkvEnO4nG2P943TvhTXKV6h+z9py3vxOFy7FTYWcs6gfxE4jwfwkJ/Cmtznxc+TDzl5M+oaKKK6T88CvD/2k9JeTTNE1dAuyGaS2kPclwGX8Pkb8xXuFcT8YNE/tz4XatGqI01pGLuIt/CYzuYj32bx+NTJXR3ZfV9lioS87ffofIlFFFc596FFFFABRRRQAUUUUAFbOg3LCRrckbSNwyTxWNUkErQTpKnVTms6keeLRtRqezqKR2VFQ2tyl3brLHnB7HsamrymmnZn0iakroKltrmS0uEmhYqynt39qiopNJqzBpNWZ6DZXaX1ok8XAYcjOdp9KsVwemanLptxuT5o2++mev/167a1uory3Wa3bcjfp7GvCxGHdKV1seJXoOk/ImooorlOYKKKKACiiigAooooAKKKhurqKzt2muG2ov6+woSbdkNJt2Qy+vY7C0aeXJA4AHc+lcJc3Ml3cPNMxZmPft7VY1PU5dSuN7/LGv3EzwB/jVKvcw2H9lG73Z7OGoeyV3uwooorsOsK5/X52a4SD+FBu+pNbk86W8LSyEBVHfvXITStPO8r9WOa6sNC8uY87HVEoci3Yyiiiu88UKKKKACiiigAooooAK9+/Zr0pls9c1aS3XbI8VtDOcZ+UFnUdwPmjJ7Hj0rwGvrn4O6D/AGD8L9LR0VZ71TeylWJ3GTlT7HZsGPUVcF7x5GcVeTCuP8zS/X9DuKKKK3PiwpHRZI2RwGVgQwPcUtFAHxD4j0abw74l1DSLkNvs52iyyFd6g/K2D2IwR7GsyvZP2ifDQsvEll4gt0by9Rj8q4OCQJYwACT0GUwAOPuE+teN1zNWdj9DwtZV6Mandfj1CiiikdAUUUUAFFFFABRRRQBpaRfm3mEMrHynPHGcGukria6HRr/z4vIlJMiDgk9RXHiKf20ergsR/wAu5fI1aKKK4j1gq1Y6jcafKHgfC5yyHo31qrRUyipKzJlFSVmdxp+tWuoKAGEUuf8AVsefw9etaNebAkEEcEdDWnZ6/e2iqu8Sov8AC/PbHWvMq4HrTZ51TBPeDO2orBt/FVsy/wCkxPGwA+7yD61f/tvTv+ftPyNcUqFWLs4nFKjUi7NF+iqv9p2Xked9pj2eu73x0qFtc05VJ+0qcDOADk1CpzeyZKpzeyNCisG48VWyL/o0TyMQfvcAHtWPea/e3asm8RI38Kcdsda6IYOrLdWN4YWrLdWOk1HW7XT/AJSfNl/uIenPc9q5K+1G41CUvO+VzlUHRfpVUkkknknqaK9Sjh4UtVuelRw8KWu7Ciiiuk6QoorN1bUTaRiOEjzW/wDHR61UYuTsjOpUjTi5SKGt3qzzCCPBWM5LA9TWVQSSSSck9TRXqQioRsj52rUdSbkwoooqzIKKKKACiiigAooooA0/DmizeIvE2n6Rb7g95cJEWVC2xSfmbA7AZJ9ga+24IIrW3jgto1ihiQJHGgwqKBgADsAK+dP2dvDTXvii88QTxZg0+IxQuSw/fPwcdjhNwIJ43rx6fR1bU1pc+Szqvz1lSX2fzf8AwLBRRRWh4IUUUUAcp8S/C58XeAdQ02BA12q+fa5UE+anIAyRgsMrntur45IwcHg19418r/G/wcPDPjdr20j22GrBp48dFkz+8Xr6kN6fPgdKyqLqfS5JibN0Jeq/X+vU82ooorI+mCiiigAooooAKKKKACnI7RuHjYqynII7U2igex02napHdoElISbpj+99K0K4kEggg4I6EVtabrARRDeMcDhX/wAa4auHtrE9bD4y/u1PvNyimo6yIGjYMp6EGnVyHp7hRRRQMKKKKACiiigAooooAKKKKACimu6xoXchVUZJPasa+1z70doPbzD/AEq4U5TehjVrQpK8mXNR1NLOPbGQ8x6D09zXNPI0sjPIxZmOST3ppJJJJyT1NFejTpqmtDw6+IlWd3sFFFFanMFFFFABRRRQAUUUUAFAGTgcmivSfgh4PHibxwt9dx7rDSNtxJno8uf3a9fUFu4+TB60bmVarGjTdSWyPfvhr4XPhHwDp+mzIq3bKZ7rCgHzX5IOCclRhc99orqqKK6UrKx+e1Kkqs3OW7CiiimZhRRRQAVyfxJ8Gp438GXGmqVS7jYT2kjZwsi54OOxBK+2c4OK6yik1dWNKVSVKanHdHwjNDLbXEkFxG0UsTFHRxhlYHBBHY5plezfHn4ftpuqnxXpcLNaXr/6aqIAsEvAD8dnPU4+93+YCvGa52rOx+gYevHEUlUj1CiiikbhRRRQAUUUUAFFFFABRRRQBYtb2ezYmF8A9VPINbllrMNwdk37p+2Twea5uisp0oz3OmjiKlLZ6djtEdZEDRsGU9CDTq4+C6mtmBhcrznHY1fg16dNomVZAOp6E9P/AK9cksNJbHo08fBr3lY6GismPX4So8yN1OQDjn6mpxrNkVZvMI29ivJrJ0prodMcRRltIv0Vn/23Zf32/wC+TR/bVltB3t16bTS9nPsP6xS/mRoUVkya/CFPlxuxyQM8fQ1Sm125fIjCxgjHqauNCb6GUsZRj1udC7rGhaRgqjqSazbrW4IflgHmt6jpWHPdTXLEzOW53Y7Coa6IYZLWRxVcfJ6QVizc39xdZEsnyk52jgVWoorqSSVkefKTk7yYUUUUyQooooAKKKKACiiigAooooAfDDLc3EcFvG0ssjBERBlmYnAAHc5r7C+G3g1fA/gy302Qq15ITPduvRpWxwPYABffGe9eR/AT4f8A9oX/APwlmqwhrW1cpYo6/flGMyc9l6D/AGvQrX0RWtOPU+WznF80vYQ2W/r2CiiitT50KKKKACiiigAooooAqarpVlrelXGm6pbrc2lymyWJ+hH9CDggjkEZr5A8e+Cb7wN4ll0+7VmtpCXs585EseeOcD5h0I9fYgn7KrlfiH4Hs/HXhiWymRFvoVZ7K4PBikx0J/unABHpz1AqJxuerluOeGqcsvhe/l5/5nxxRVzVdKvdE1SfTtVt3tru3fZJG45B/qD1BHBHNU6wPtk01dBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXT+AfBN7458TRadahktkIe7uO0Meef+BHoB3PsCRiaTpN9rurW+m6TbPc3dw+yOJOpPr6AAckngAEmvr3wD4GsPAfh1bC0AlupcPd3RX5pnx/6COcDtk9ySajHmZ5uYY1YWnp8T2/zN/TdOtdI0u20/T4hFbWsSxRIOygYH1PvVmiiug+HbcndhRRRQIKKKKACiiigAooooAKKKKAPPfiz8No/HGifadPiRdcs1/0dywXzlzkxsfz256HuATXyrc209ndS213C8E8LlJIpFKsjA4IIPQg192V5p8VPhNb+Nof7T0jyrXXIwAXbhLpR/C+OjAdG/A8YK5zjfVHvZZmXsbUavw9H2/4H5HyzRVrUtNvdH1Kew1S2ktbuBtskUgwVP8AhjkHoQc1VrE+tTTV0FFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABU9jY3WpX0NlYQPcXM7hI4oxlmJ7Cn6bpt5rGpQafplu9zd3D7Iooxyx/oO+egHNfUfwt+Flr4GsRe6gI7nW51xJKOVgU/wJ/U9/pTSbehxYzGU8LDmlv0RL8Lfhna+BdJFxdqk2t3Kf6RN1EQ/wCeaew7nufbAHf0UV0JJKx8PWrTrzdSb1YUUUUzEKKKKACiiigAooooAKKKKACiiigAooooA4n4jfDPTvH9ijM4s9UgGILwJnI/uOO6/qDyO4Py34m8M6p4S1yXStag8qePlWXlJV7Op7g//WOCCK+2qyPE/hfSvF2iyaZrduJYX5R14eJuzoexH/1jkEis5Qvqj2MBmc8PaE9Y/l/XY+JaK9F+IXwf1jwY8t7Yq2paNuJE8a5eFev71QOO/wAw445xkCvOqx2Pr6VaFaHPTd0FFFFBoFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABWz4Y8Kav4v1dNP0O0aeQn95IRiOFf7zt0UcH69Bk8V1nw9+D2seM2ivr7dpujbhmeRcSTrjP7pT1HQbjxzxuwRX0r4Z8L6V4R0WLTNEtxDCnLueXlbu7nuT/9YYAAq4xbPIx2aU8PeENZfgvX/IwPh18M9N8A6exUrearMP396yYIH9xB/Cv6k8nsB21FFbJJbHyFWrOtNzm7thRRRTMgooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAAjIweRXlHjj4EaN4geW+8Ouuj3xX/UpGPs8hAP8I+4Sccjjj7pJr1eik0nub0MRVw8uam7HxP4k8J614S1A2mu2Ets24iOUjMcuMco/RhyOnTPODWNX3TfWFnqdm9pqVrDd20mN8M8YdGwcjIPHWvIfFX7O+l30j3HhS+bTHIJ+yz5liJwMYb7yjrnO7rxjGKycGtj6bDZzTn7tZcr79P+AfOlFdL4n+H/AIl8IzSDWNMmECHi7hBkhYZwDvHAz6HB5HFc1WZ7kJxnHmi7oKKKKCgooooAKKKKACiiigAooooAKKKKACiiigAorpfC/wAPvEvi+ZBo2mStbsebuYeXCoyATvPBxnouT14r2Twj+zxp1ltufGF3/aM3/PpasyQjqOW4Zv4TxtwQRyKai3scWIx1DD/HLXst/wCvU8Q8NeEdb8XagLTQbCW5IYCSXGI4c5OXfovQ+5xgZPFfQPgf4EaN4faO98Rsms34B/csg+zRkgfwkZcjnluOfugjNen2VjaabZpaadaw2ltHnZDBGERcnJwo4HJJqetVBLc+axWbVq3u0/dX4/eFFFFaHjBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAARkYPIriPEHwg8F+IVYyaSlhOVCifTz5JUA5+6PkJPTJUnH0FdvRSaT3NadapSd6cmj571z9m/UIpS/hzWre4iJY+XeqY2QZ+UblDBjjqcL06c8cBqnws8baQV+1eHLyQMCQbVRcAY9fLLY696+w6Kh010PVpZ1iIaTtL+vI+D2VkOHUqfQjFJX3NqGk6dq0SxarYWt7Gp3KlzCsgB9cMD6mud1H4V+CNUZWuvDdmhXOPswaDOfXyyufxqfZs9GGe0n8cGvTX/ACPjuivqbUPgH4IvWQ29ve6ftzkW10Tu+vmBuntjrVE/s5+ESf8Aj/1oe3nxf/G6XIzoWc4Vrr9x8z0V9Kj9nHwpu51LWNvp5sX/AMbp3/DOfhHP/IQ1r/v/ABf/ABujkkP+2MJ3f3HzRRX1Np/wD8EWTMbiC91ANjAubogL16eWF/X0rd074VeB9LZmtfDdm5br9pDXA/ASFsdaPZszlneHXwpv+vU+P4opJ5VigjaSRyFVEXJY+gFdVpfws8bauX+y+HLyMIASbpRbg59PMK5/DNfXOn6Vp2kQtDpVha2MTtuZLaFY1Y9MkKBzVuqVPucVTPZf8u4fefPui/s230mH8Q65BbgMCYrKIyFl7je23afwIr0rw/8AB7wX4fUFNJTUJ9pUzajickE5+6RsBHqFBruKKtRSPLrZjia2kpWXloFFFFUcAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQB//Z" data-image-state="image-loaded" width="359" height="353"></div><div style="block-size: 42px; 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 21px; text-align: left; transform-origin: 384px 21px; 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: 377px 8px; transform-origin: 377px 8px; unicode-bidi: normal; "><span style="">The ratio betwen the areas of the inner, intermediate, and outer regions is given in the input. The outermost radius is 1. Given the ratio of the regions, please determine the radii of the inner and intermediate regions.</span></span></div></div></div>

Solve

Solution Stats

84 Solutions
31 Solvers

Last Solution submitted on Jan 23, 2023

Last 200 Solutions

Problem Comments

Problem Recent Solvers31

Problem Tags

Community Treasure Hunt

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

Start Hunting!

Problem 49948. Splitting Circle

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers31

Suggested Problems

More from this Author180

Problem Tags

Community Treasure Hunt

Problem 49948. Splitting Circle

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers31

Suggested Problems

More from this Author180

Problem Tags

Community Treasure Hunt

Players