Problem 49923. Splitting Hexagon - Problem the first

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 hexagon 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=\"309\"/><w:attr w:name=\"width\" w:val=\"297\"/><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 hexagon is to be split into two regions (e.g., red and blue). Given the ratio of the two regions and the side of the hexagon, determine x coordinate of the line that splits the regions. The ratio between the regions (red to blue) is presented through the first two entries in the input. For example, if the ratio is 2 to 1, then these two numbers will be the first two numbers in the input. The last entry is the side of the hexagon.</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/4RE6RXhpZgAATU0AKgAAAAgABAE7AAIAAAAlAAAISodpAAQAAAABAAAIcJydAAEAAABKAAAQ6OocAAcAAAgMAAAAPgAAAAAc6gAAAAgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEtBU1RBTllBIERvZGR5IC0gKE5TJkwpIC0gS0lORUNUUklDUwAAAAWQAwACAAAAFAAAEL6QBAACAAAAFAAAENKSkQACAAAAAzM5AACSkgACAAAAAzM5AADqHAAHAAAIDAAACLIAAAAAHOoAAAAIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAyMDIxOjAxOjIxIDIwOjE4OjA2ADIwMjE6MDE6MjEgMjA6MTg6MDYAAABLAEEAUwBUAEEATgBZAEEAIABEAG8AZABkAHkAIAAtACAAKABOAFMAJgBMACkAIAAtACAASwBJAE4ARQBDAFQAUgBJAEMAUwAAAP/hCztodHRwOi8vbnMuYWRvYmUuY29tL3hhcC8xLjAvADw/eHBhY2tldCBiZWdpbj0n77u/JyBpZD0nVzVNME1wQ2VoaUh6cmVTek5UY3prYzlkJz8+DQo8eDp4bXBtZXRhIHhtbG5zOng9ImFkb2JlOm5zOm1ldGEvIj48cmRmOlJERiB4bWxuczpyZGY9Imh0dHA6Ly93d3cudzMub3JnLzE5OTkvMDIvMjItcmRmLXN5bnRheC1ucyMiPjxyZGY6RGVzY3JpcHRpb24gcmRmOmFib3V0PSJ1dWlkOmZhZjViZGQ1LWJhM2QtMTFkYS1hZDMxLWQzM2Q3NTE4MmYxYiIgeG1sbnM6ZGM9Imh0dHA6Ly9wdXJsLm9yZy9kYy9lbGVtZW50cy8xLjEvIi8+PHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9InV1aWQ6ZmFmNWJkZDUtYmEzZC0xMWRhLWFkMzEtZDMzZDc1MTgyZjFiIiB4bWxuczp4bXA9Imh0dHA6Ly9ucy5hZG9iZS5jb20veGFwLzEuMC8iPjx4bXA6Q3JlYXRlRGF0ZT4yMDIxLTAxLTIxVDIwOjE4OjA2LjM5MzwveG1wOkNyZWF0ZURhdGU+PC9yZGY6RGVzY3JpcHRpb24+PHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9InV1aWQ6ZmFmNWJkZDUtYmEzZC0xMWRhLWFkMzEtZDMzZDc1MTgyZjFiIiB4bWxuczpkYz0iaHR0cDovL3B1cmwub3JnL2RjL2VsZW1lbnRzLzEuMS8iPjxkYzpjcmVhdG9yPjxyZGY6U2VxIHhtbG5zOnJkZj0iaHR0cDovL3d3dy53My5vcmcvMTk5OS8wMi8yMi1yZGYtc3ludGF4LW5zIyI+PHJkZjpsaT5LQVNUQU5ZQSBEb2RkeSAtIChOUyZhbXA7TCkgLSBLSU5FQ1RSSUNTPC9yZGY6bGk+PC9yZGY6U2VxPg0KCQkJPC9kYzpjcmVhdG9yPjwvcmRmOkRlc2NyaXB0aW9uPjwvcmRmOlJERj48L3g6eG1wbWV0YT4NCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgPD94cGFja2V0IGVuZD0ndyc/Pv/bAEMABwUFBgUEBwYFBggHBwgKEQsKCQkKFQ8QDBEYFRoZGBUYFxseJyEbHSUdFxgiLiIlKCkrLCsaIC8zLyoyJyorKv/bAEMBBwgICgkKFAsLFCocGBwqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKv/AABEIATUBKQMBIgACEQEDEQH/xAAfAAABBQEBAQEBAQAAAAAAAAAAAQIDBAUGBwgJCgv/xAC1EAACAQMDAgQDBQUEBAAAAX0BAgMABBEFEiExQQYTUWEHInEUMoGRoQgjQrHBFVLR8CQzYnKCCQoWFxgZGiUmJygpKjQ1Njc4OTpDREVGR0hJSlNUVVZXWFlaY2RlZmdoaWpzdHV2d3h5eoOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4eLj5OXm5+jp6vHy8/T19vf4+fr/xAAfAQADAQEBAQEBAQEBAAAAAAAAAQIDBAUGBwgJCgv/xAC1EQACAQIEBAMEBwUEBAABAncAAQIDEQQFITEGEkFRB2FxEyIygQgUQpGhscEJIzNS8BVictEKFiQ04SXxFxgZGiYnKCkqNTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqCg4SFhoeIiYqSk5SVlpeYmZqio6Slpqeoqaqys7S1tre4ubrCw8TFxsfIycrS09TV1tfY2dri4+Tl5ufo6ery8/T19vf4+fr/2gAMAwEAAhEDEQA/APpGiiigAooooAKKKKACiiigAooooAKzNM/5Cms/9faf+iIq06zNM/5Cms/9faf+iIqxqfFD1/RnPV+On6/+2s06KKK2OgKKKKACsa1/5HrVP+wbZ/8Ao26rZrGtf+R61T/sG2f/AKNuqiW6/rozpo/w6n+H/wBuibNFFFWcwUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABWZpn/IU1n/r7T/0RFWnWZpn/ACFNZ/6+0/8AREVY1Pih6/oznq/HT9f/AG1mnRRRWx0BRRRQAVjWv/I9ap/2DbP/ANG3VbNY1r/yPWqf9g2z/wDRt1US3X9dGdNH+HU/w/8At0TZoooqzmCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAoJCqSxwBySe1FZHicaUdAlPiAk2CPG8kYyfNIcFU2jl9zYGzndnGDmgDVjkSWMPE6uh6MpyDWdpn/IU1n/r7T/0RFWf4Q0qWxXUbySzj02PUbgTRadGABbqEVRuC/KHbbubHAzjnBJfZxao3ifU3tbyzjsVuk86GS0Z5XPkR/dkEgC9uqHv+GNT4oev6M56vx0/X/wBtZ0FFFFbHQFFFFABWNa/8j1qn/YNs/wD0bdVs1jWv/I9ap/2DbP8A9G3VRLdf10Z00f4dT/D/AO3RNmiiirOYKKwPF3jfw94G0wX3iXUY7RHyIo8FpJT6Kg5P16DPJFfPPiT45+NPHuoGz+HtvJoumxMN1y23zW56u5yFHfauTweSOKqMJTlyxV2ROpCnFzm7Jdz6lor5r8HftD6z4anTSPilp80wAwmoQRr5mPVlHyuP9pefqa+g9C8Q6T4n0qPUtAv4b+0k6SQtnB9COqn2OCKUouLtJWY4yjNKUXdM0aKKKRQUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFVdQ0yw1e1NrqtlbX1uWDGK5iWRMjocMCM1aooAo6ZomlaLHImjaZZ6ekhBdbS3WIOR0JCgZqLTP+QprP/X2n/oiKtOszTP+QprP/X2n/oiKsanxQ9f0Zz1fjp+v/trNOiiitjoCiiigArGtf+R61T/sG2f/AKNuq2SQoJJwBySe1eJePfjnpHg7xNftoMSa9e3FrBaR+RIPJjljeUursOSQJk4XOeQSCKiW69f0Z00f4dT/AA/+3RPY9R1Kx0fT5b7VbuGztIRmSeeQIij3JrwPxr+0lLe3T6N8L7B7u5YlBqM8WRj+9HGf/QnwBjlTXneoWvjH4m6kNT8dajNb2m4tFYplRGOwSPonBI3NluOc5zXU6To9jolmLbToFiQfePVnPqx6k17eEymtX96fux/E+Vx+fYfDXhS9+X4L5/5HLWvgi+1vUDq/jvUrjUr2UZaJpS2O+0vnoMnhcAdjiuzhgitoVht4kiiQYVI1Cqo9gKkor6nD4Sjho2pr59T4fF4/EYyXNWl8ui+RWv8ATrPVLVrbULeO4iP8LrnBwRkHscE8jmuPi8P+JvA2pNq3w91e4iPV7bcMsOOCD8sg6nBHp1NdzRU4nBUcSvfWvfqXgsyxGCl+6enZ7f16HS+Af2kNJ1q5TSvGtt/YOpA+WZyT9ndwcEHPMZ9jkdeR0r2yORJoklhdZI3UMrqchgehB7ivljXPDOl+IIsahB+9Awk8fyyKPQHuOTwcjmsbQdd8d/CGUy6Ndf2voY+aW0lBKKMctsyTGevzKccc+lfK4vK62H95e9Hv/mj7rAZ3h8XaMvdl2f6M+wqK85+Hnxs8MeP0S3WT+y9VJ2/YLqQZc/8ATNuN/wCQPtXo1eUe4FFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABWZpn/ACFNZ/6+0/8AREVadZmmf8hTWf8Ar7T/ANERVjU+KHr+jOer8dP1/wDbWadFFY/iXxZofhDTTf8AiTUoLCDnb5jfNIQM4VRyx9gDWx0GxXEePfi14W+Htuy6refaNRK5j0+2IaVvTd2Qe7Y74z0rxPxj+0H4k8Xzz6X8O7STS7HlHvnI89lPfPSLv0y3GQQeK4TTPCFtBIbnVn+33btvYvkruPJ6/eOc8nr6VjUrwp7nq4DKcVj3+6jaPd7f8H5G54r+JPjj4qbrbP8AYegSYzbQsQJV/wBpuDJ344Xjpnmp/CXh6w0qE+VH5s0bblmlALKWGGx6ZAxxRWro33ZfqP610ZLWdbMYKS01/JnXxbk9HLeHa84Nub5U35c0dLdjTooor9JP54CiiigAooooAKKKKAOV8Q+AdN1qRrm2JsL0nd5kQ+V2yDll9evIwcnJzWn4Y+M/jT4avBpnjK0bW9HUhEudxMirzwsp4boTtfnA6gVr0yWKOeFop41ljcYZHUFWHoQeteTi8qo1/ej7svw+49/AZ5iMLaE/ej57r0Z7p4R8eeHPHNgLnw5qUVyQuZLcnbNF/vIeR169PQ10VfG194En07UU1fwVfzaXfwtvRFkKgHj7rDle/ByDnHArv/BX7Rt9pl8mjfFKwNuyjA1GGIgnkjLoOGB/vJxx0PWvlcTg62Gdqi079D7nB5hh8ZG9KWvbqfRVFU9J1jTtd02LUNGvYL60lGUmgcMp9uOh9uoq5XId4UUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFcn43W/R9HuLfUpLe2XVbNJLeJcGYtOoO5uu3B+6Mc9SelaHjGC+u/DE9rpZAubiSKMZuDB8pkXeN45U7d3TJ9BQBuViw31ppk2vXuo3MNraw3KtLNM4REHkRckngVR8GGO1k1PSnspLS7s5UMynUZb1HDoCrLJL8w4BBXAwR3zmvmb4halrPxA8UzJdXzWumJPK0lpE52ZSaSJDt6FtkSgsfcgc4rnrSUXFvv+jJjQqYivSpUleTlp/4DI9D8eftKQRXDaR8N7T+07wsVN9NGfKGOuxOC/f5jgDGfmFeQTaRq/ifVm1fxzqU2oXT/wDLNpM4Gc4yOFXr8q4Hoe1aum6TZ6VAI7KFUOMNIRl3+p/p0q7XFVxkpaQ0P0jLuGaVG1TFe9Lt0/4P5EVvbw2sCw20SxRr0VBgCpaKK4b33ProxUVyxVkFaujfdl+o/rWVWro33ZfqP6173D3/ACMYfP8AJnwviD/yTtb1h/6UjTooor9QP5eCiiigAooooAKKKKACiiigAqlqekWGs2v2fU7ZLiPORuyCp9iOR07GrtFKUYzXLJXRcJypyUoOzRxNjYeL/hvfvqXw/wBTmkhbma0cBt4AP3kPyv7YAbngd69k8A/tF6B4h2af4uC+H9WB2MZCRbyNnHDH7n0bp6muRrE1/wAJ6X4hjJu4fLuduEuY+HHTr2YcY598Yr57F5LGXvYd2fb/ACPrMBxHKNoYpXXdb/Ndf63Pq1WV1DIQysMgg5BFLXy38EfFPiHw38W7fwDcam9/pEyyKscvSIiEyqyZyV6YKg45PoK+pK+YlFwk4y3R9rCcakFOLunqgoooqSwooooAKKKKACiiigAooooAKKKKAK19p1rqUcUd7F5iwzx3CDcRiRGDKeD2IBx0qC90PT9RhuYr2F5UunR5AZnGGTG1kIPyEFQQVwcjPWtCigClpmkWWkJMtjG4M8nmSySyvK8jYAyzuSx4AAyeAABXyT/zG7//AK6zf+llzX2HXx5/zG7/AP66zf8ApZc1w434F6/oz08m/wCRrhv8T/8ASJFiiiivKP2MKKKKACtXRvuy/Uf1rKrV0b7sv1H9a97h7/kYw+f5M+D8Qf8Akna3rD/0pGnRRRX6gfy8FFFFABRRRQAUUUUAFFFFABRRRQAUUUUAc58Pf+TsNO/7a/8ApC9fW1fJPw9/5Ow07/tr/wCkL19bV+e4z/ean+J/mfrWX/7nS/wx/JBRRRXMdoUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAV8ef8AMbv/APrrN/6WXNfYdfHn/Mbv/wDrrN/6WXNcON+Bev6M9PJv+Rrhv8T/APSJFiiiivKP2MKKKKACtXRvuy/Uf1rKrV0b7sv1H9a97h7/AJGMPn+TPg/EH/kna3rD/wBKRp0UUV+oH8vBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAHOfD3/k7DTv8Atr/6QvX1tXyT8Pf+TsNO/wC2v/pC9fW1fnuM/wB5qf4n+Z+tZf8A7nS/wx/JBRRRXMdoUUUUAFFFFABRRRQAUUUUAFFFFABRRUF6bsWUv9nLC11j9355ITPqcDP4d/brQBPXx5/zG7//AK6zf+llzX1H4Hvb7UPCcM+q3Iurv7RcxyShAgbZcSIMKOgwo4r5aLEa/eqEYgyT5YYwv+mXPXnPNcON+Bev6M9LJ3bNcN/if/pEi1RRRXlH7IFFFFABWro33ZfqP61lVq6N92X6j+te9w9/yMYfP8mfB+IP/JO1vWH/AKUjTooor9QP5eCiiigAooooAKKKKACiiigAooooAKKKKAOc+Hv/ACdhp3/bX/0hevravkn4e/8AJ2Gnf9tf/SF6+tq/PcZ/vNT/ABP8z9ay/wD3Ol/hj+SCiiiuY7QooooAKKKKACiiigAooooAKKKKACiiigCjo+kwaJposrV5HjEssuZCCcySNIegHGWOPbFfJX/Mbv8A/rrN/wCllzX2HXx5/wAxu/8A+us3/pZc1w434F6/oz08m/5GuG/xP/0iRYoooryj9jCiiigArV0b7sv1H9ayq1dG+7L9R/Wve4e/5GMPn+TPg/EH/kna3rD/ANKRp0UUV+oH8vBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAHOfD3/AJOw07/tr/6QvX1tXyT8Pf8Ak7DTv+2v/pC9fW1fnuM/3mp/if5n61l/+50v8MfyQUUUVzHaFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFfHn/Mbv/wDrrN/6WXNfYdfHn/Mbv/8ArrN/6WXNcON+Bev6M9PJv+Rrhv8AE/8A0iRYoooryj9jCiiigArV0b7sv1H9ayq1dG+7L9R/Wve4e/5GMPn+TPg/EH/kna3rD/0pGnRRRX6gfy8FFFFABRRRQAUUUUAFFFFABRRRQAUUUUAc58Pf+TsNO/7a/wDpC9fW1fJPw9/5Ow07/tr/AOkL19bV+e4z/ean+J/mfrWX/wC50v8ADH8kFFFFcx2hRRRQAUUUUAFFFFABRRRQAUUUUAFFcnrut6wmoasmjPaxR6NYpdSLcRFzcuwdvLBDDYNsf3sHlunHNvxB4gltPBP9r6Yv72dYPIDQtLgyuig7F5bG/OBzxQB0NfHn/Mbv/wDrrN/6WXNfUnhPU5tStLn7Xqkd/PDNsdRp0lk8Pyg7WjkYtznIPGQeK+WfEZbwn42n0vX0+y3E7SSAl1ZVDXE7rlgSBlXX6Z5xXFjE5Qil3/RnflVSFLM8POo7Lmev/bki1RSAhlBU5BGQR3FLXkn7Ne+qCiiigYVq6N92X6j+tZVaujfdl+o/rXvcPf8AIxh8/wAmfB+IP/JO1vWH/pSNOiiiv1A/l4KKKKACiiigAooooAKKKKACiiigAooqK5uoLK2e4u5kghT70kjBVHbqfehtJXY0nJ2W5g/D3/k7DTv+2v8A6QvX1tXyH8Jrhdd/abstS0tZJrSNZneTYQFUWrR7jnoCxA59RX15X55ipKVecls2/wAz9bwUZQwtOMlZqK/IKKKK5zrCiiigAooooAKKKKACiiigAooooA5zWfDF1qF7fzafqa2SanaLaXivbeaSqlsMh3AK212GSGH3Tjjm7c6VenT3tdO1JbERmL7GUg3eUqY+Rxu+dWwQQNpwcZzzWtRQBkaNos2n3moX99dpdXt/IjSPFCYkVUXaiqpZjwMkkk5JPQYA5fxN8NfDfxCm1eHxBZ5njuVWG8hO2aH9xH0buM84OR7V39Zmmf8AIU1n/r7T/wBERVjU+KHr+jOer8dP1/8AbWfLXiz4Q+NPhnNLdaCH8QaFncfLjJkiH+1GOQefvLkdzjpWHo3iax1dQgb7PcZx5Mjcn/dP8X8/avtSvLPiF8A/DHjbz76xT+x9YkJf7Tbr8krn/nonQ5PUjB+tTVw8Kmr3Po8vzrFYG0Yvmj2f6dv60PF6Kyde0Txp8MrhIPFmmtc6ZuEcV9D86Eezjv8A7L4Jx6Va0/VbLVIt9lcLJgZZOjL9R1ry6tCdPfY/QsvzjC49Wg7S7Pf5dy5Wro33ZfqP61lVq6N92X6j+tevw9/yMYfP8mfOeIP/ACTtb1h/6UjTooor9QP5eCiiigAooooAKKKKACiiigAorC1/xfpXh9WS5m826A4toiC+cA/N/d6g89umapaD4H8ffF8o/kjQ/DshDefMpCSLuyCo+9Kfphcr2Nebi8yo4b3d5dl+p7WAybE4y0rcse7/AEXX8vMh134g2VlILTRFGqXsh2KIiSikjjkffOSOF9+Qa6Hwn8B/FPjy6TVviPdz6TZA5islUecynqAvSIYHUgtxyO9e0eAvg/4V+HyLNptp9r1LHzahd4eXpg7OyDr0555Jruq+UxWOrYp++9O3Q+6wOWYbBL92ry7vf/gfIxvC/hHQvBulDT/DenQ2UHV9gy8h9XY8sfqa2aKK4T0wooooAKKKKACiiigAooooAKKKKACiiigAooooAKzNM/5Cms/9faf+iIq06zNM/wCQprP/AF9p/wCiIqxqfFD1/RnPV+On6/8AtrNOiiitjoIbyzttQs5bS+t47m3mXbJFKgZXHoQeteFePP2bLSaU6t8OLk6VfqS32KSQ+S5P9xuqdTwcr24r3uigabTuj4jn1XWfC2rHSPHemTafcqMiRo8bhn73HDL1+ZeOK7Hw9cwXdvJLaypLGSMMjZFfSfiTwloXi/TjY+I9Mt7+Hnb5i/NGemVYcqfcEV86eKPgx4l8I6tdp8Nbma/t7SNbyW1kYeaySllChcbZNvkt6H5hgE1eCdPCYuFe3fbzTO3MsXi80yitgJyvomm99JR0b/pmhRXH6N8QbK4l+xa9G2l36HZIJVKpuHBGTyv0bp6muw61+g0MRSrx5qbufimJwlfCz5K0bf10CiiitzlCiiigAoqOaeK2haa4lSKJBlnkYKqj3Jri73xzdaxqEejeBrCbUb+4O2ORYiecdVTqcc8tgDHIIrmxGKo4aN6j+XU7cJgcRjJctGN/PovmdXqer2GjWv2jU7lLePOBuySx9gOT17VyljqHjD4kalJpngDTZo7dQBLdMApQEHO6QnansB83HB7V6H4K/Zwu9Rvl1r4p3zXMxO7+zYZc984eQdB1+VOOnPavfNK0jT9D02LT9Hs4bK0hGI4YECqPwHf1PU18ti82q1vdp+7H8T7jAZDQw1p1ffl+C+X+Z5P8Pv2dfD/hrytR8Ulde1f7zCTm2jbOflQjLn3br6CvZAAoAAwBwAO1FFeMfRBRRRQAUUUUAFFFFABRRRQAUVif8JdpPre/+C64/wDiKP8AhLtJ9b3/AMF1x/8AEVj7ej/MvvRz/WaH86+9G3RWJ/wl2k+t7/4Lrj/4ij/hLtJ9b3/wXXH/AMRR7ej/ADL70H1mh/OvvRt0Vif8JdpPre/+C64/+IqlpPjCFrKQ6st4k/2q4CBdOn/1QmcRHhO8ew+vPODR7ej/ADL70H1mh/OvvR1FFYn/AAl2k+t7/wCC64/+Io/4S7SfW9/8F1x/8RR7ej/MvvQfWaH86+9G3RWJ/wAJdpPre/8AguuP/iKP+Eu0n1vf/Bdcf/EUe3o/zL70H1mh/OvvRt1maZ/yFNZ/6+0/9ERVX/4S7SfW9/8ABdcf/EVQsPE+mRahqjubvbNcK6YsJyceTGvICccg8HB79CKxqV6XND3lv3XZmFXE0OeHvrfuv5WdVRWJ/wAJdpPre/8AguuP/iKP+Eu0n1vf/Bdcf/EVt7ej/MvvRv8AWaH86+9G3RWJ/wAJdpPre/8AguuP/iKP+Eu0n1vf/Bdcf/EUe3o/zL70H1mh/OvvRt1jWv8AyPWqf9g2z/8ARt1Tf+Eu0n1vf/Bdcf8AxFZNt4o0xfGeozE3mx9PtEH+gT5yJLgnjZkfeHPfn0NRKvSuveX3rsdVDE0PZ1ffXw91/NEj8efCjwv8QLST+1LJINQK4j1G3ULMnpk/xj2bP4V89eJPAfjv4Qv9pVjrvhxDzJFkiNf9peTF35GV9fSvp/8A4S7SfW9/8F1x/wDEUHxbpDAg/bSDwQdNuOf/ACHW9PGQpS5oVEn6nBWnhK8HCpKLXqj5q8P+L9L8RDZayGK5Ay1vLw31HYj6fiBW7W18QvhP4I8WTPqPh+S80DVidxeDSrjyZW65ZAg2n3XHqQa80tm8aeEnNt4l0yW9sVk8uO+ZvLLf7pk2luhOGAP8q+kwnENB+7iJJed/0PjsfktKN54Son5Nr8H/AJnY1yniDx/pujO1vaf6fedPLib5UORwzevXgZ5GDiqy6J448e3SQ+Q2iaNKDuuEV5kYYwQTEGZ85IxgL6+tet+A/AnhD4f65YzWltd6pJ9lma51K70uYuk4aLyhGuz5BjzjkZPHLdKzxfENJ+7h5L1bX4L/ADNcBkuHVp4uovRNfi/8vvPP/C/wW8bfEiSLUfGt1JomkF9yWzJtlZeT8kX8PUjc/wA2OzCvovwh4E8OeBtP+yeG9NjttwAlnPzSzH1ZzyfXHQdgKm/4S7SfW9/8F1x/8RR/wl2k+t7/AOC64/8AiK+dniqc5c0ppv1PrqdXC04qEJRSXZo26KxP+Eu0n1vf/Bdcf/EUf8JdpPre/wDguuP/AIip9vR/mX3ov6zQ/nX3o26KxP8AhLtJ9b3/AMF1x/8AEVSv/GEK3umCwW8aBrphek6dP8sXkyEEZT/noIhxk8+maPb0f5l96D6zQ/nX3o6iisT/AIS7SfW9/wDBdcf/ABFH/CXaT63v/guuP/iKPb0f5l96D6zQ/nX3o26KxP8AhLtJ9b3/AMF1x/8AEUf8JdpPre/+C64/+Io9vR/mX3oPrND+dfejborE/wCEu0n1vf8AwXXH/wARVLVvGEK2UZ0lbx5/tVuHDadP/qjMglPKdo959eOMmj29H+Zfeg+s0P5196OoorE/4S7SfW9/8F1x/wDEUf8ACXaT63v/AILrj/4ij29H+Zfeg+s0P5196NuiiitjoCiimSyrBC8smdkalm2qWOAM8Acn6CgB9FcU+oWfjLxRaWUc98unR2U8zR7Z7N5JQ8SgnOxiFDnHbLeoGLGl32p3/wAJvtKS79SbT5UimlcJvkAZUdmOAMkAk+9AHW0Vxng+3/sbXJ9HvbKSC9azS4Ev9rT3qSoGKn/W42MD1AGDnrxiuzoAKKKKACszTP8AkKaz/wBfaf8AoiKtOszTP+QprP8A19p/6IirGp8UPX9Gc9X46fr/AO2s06KKK2OgKKKKACsa1/5HrVP+wbZ/+jbqqOs241fxnZaTdzTpZLp81yYoJ3hMkgkjQEshBO0McDpls9hXP6Dfanf6Dqlyku/Um8O26RTSuE3yCS7VHZjgDJAJPvUS3X9dGdNH+HU/w/8At0T0eiuM8H2/9ja5Po97ZSQXrWaXAl/tae9SVAxU/wCtxsYHqAMHPXjFdnVnMFQ3VpbX1u0F7bxXELfejlQOp+oPFTUUANjjSGJIoUWONFCqijAUDoAOwp1FcnGt/D8Vo1udSknt5tKuHjtguyOECaEDju3JyxP0AoA6yiiigAooooAKKzfEEF3caHcJYXzWEmwlpo0DOFAOQueFPvg49Kr+EJnk8BaFPO7SSNplu7u7ZLHylJJJ7+9AG1RXnnhC3utG1jTI9ftH+36pbSMt3FrM10juAHcNE2ETg8Fdw4xn19DoAKKKKACiiuM8a2sckzrFdX8+sXdv5Wl2NrcvEIpBnMx2kYALKWZsgBQBycEA7Oio7dZUtYluHEkyoBI4GAzY5OO3NSUAFFFFABRRRQBn6poVhrLQvfJL5kIYRywXEkLqGGGG5GBwcDIzjgegpDoGlmza0Nov2VrQWZt9x8ryRkBdmdvQ4zjPvWjRQBm6XoGn6PNLNZpMZpVVHmuLmSdyq52rukZiAMngHGST1NaVFFABRRRQAVmaZ/yFNZ/6+0/9ERVp1maZ/wAhTWf+vtP/AERFWNT4oev6M56vx0/X/wBtZp0UUVsdAUUUUAZ+qaFYay0L3yS+ZCGEcsFxJC6hhhhuRgcHAyM44HoKyLfRtPfxNqemtaR/YRotnbC2x+78oyXI27emMACunrGtf+R61T/sG2f/AKNuqiW6/rozpo/w6n+H/wBuiT6XoGn6PNLNZpMZpVVHmuLmSdyq52rukZiAMngHGST1NaVFFWcwUUUUAFVm061bVY9SaLN3HC1usm48RsysRjOOqLzjPFWaKACiiigAooooAbJGs0TxyDKOpVhnqDVS20iytILKC3iZIrGD7PBH5rFVj2hcEE/Nwo5bJ/M1dooAyNM8LaRo9yk9hbyK8UZhhElxJIsCEglY1ZiEHA4UDgAdAK16KKACiiigArEv/COk6jq0mpzi+jvJI1ieW21K4t9yLkgYjkUYBJPTua26KAGxxiKJI0LFUUKCzFjgepPJPuadRRQAUUUUAFFFFABRRRQAUUUUAFFYGs+K49JvLiCPT7q+FlbC6vXt9mLeIlsEhmBY/I52rk4X3GdW71G3s9In1KR91tDA1wzL3QLuyPwFAFqszTP+QprP/X2n/oiKo9C1i91eNpLvQ7vTI9itG1xNC/mZ7YjdiMe+KrWes6XaeJ9T0661Kzhvri6Qw2sk6rLIPIjGVQnJ6Hp6GsanxQ9f0Zz1fjp+v/trOgooorY6AooooAKxrX/ketU/7Btn/wCjbqtmsa1/5HrVP+wbZ/8Ao26qJbr+ujOmj/Dqf4f/AG6Js0UUVZzBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABUF9BNc2MsNrdyWcrjC3EaKzRn1AYEH8RU9FAHDXmja9p7axFDFPrratp6263jtDCY5R5i/vB8o27ZF5RSflbjOM7l3p86+GJtDhsFvY003yVM8oSO4O0p5bYO4ZA5OMfNW7RQByPhnRHs/El1f2mhjw/YSWccTWYMQ86YMSZCsTMvAO3JOTn0Arb0z/kKaz/ANfaf+iIq06zNM/5Cms/9faf+iIqxqfFD1/RnPV+On6/+2s06KKK2OgKKKKACsa1/wCR61T/ALBtn/6Nuq2axrX/AJHrVP8AsG2f/o26qJbr+ujOmj/Dqf4f/bomzRRRVnMFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAVmaZ/yFNZ/6+0/9ERUUVjU+KHr+jOer8dP1/8AbWadFFFbHQFFFFABWNa/8j1qn/YNs/8A0bdUUVEt1/XRnTR/h1P8P/t0TZoooqzmCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAP//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: 438px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 219px; transform-origin: 407px 219px; 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 a hexagon sitting in Quadrant I as depicted in an example below:</span></span></div><div style="block-size: 315px; 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 157.5px; text-align: left; transform-origin: 384px 157.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><img class="imageNode" width="297" height="309" style="vertical-align: baseline;width: 297px;height: 309px" src="data:image/jpeg;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/4RE6RXhpZgAATU0AKgAAAAgABAE7AAIAAAAlAAAISodpAAQAAAABAAAIcJydAAEAAABKAAAQ6OocAAcAAAgMAAAAPgAAAAAc6gAAAAgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEtBU1RBTllBIERvZGR5IC0gKE5TJkwpIC0gS0lORUNUUklDUwAAAAWQAwACAAAAFAAAEL6QBAACAAAAFAAAENKSkQACAAAAAzM5AACSkgACAAAAAzM5AADqHAAHAAAIDAAACLIAAAAAHOoAAAAIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAyMDIxOjAxOjIxIDIwOjE4OjA2ADIwMjE6MDE6MjEgMjA6MTg6MDYAAABLAEEAUwBUAEEATgBZAEEAIABEAG8AZABkAHkAIAAtACAAKABOAFMAJgBMACkAIAAtACAASwBJAE4ARQBDAFQAUgBJAEMAUwAAAP/hCztodHRwOi8vbnMuYWRvYmUuY29tL3hhcC8xLjAvADw/eHBhY2tldCBiZWdpbj0n77u/JyBpZD0nVzVNME1wQ2VoaUh6cmVTek5UY3prYzlkJz8+DQo8eDp4bXBtZXRhIHhtbG5zOng9ImFkb2JlOm5zOm1ldGEvIj48cmRmOlJERiB4bWxuczpyZGY9Imh0dHA6Ly93d3cudzMub3JnLzE5OTkvMDIvMjItcmRmLXN5bnRheC1ucyMiPjxyZGY6RGVzY3JpcHRpb24gcmRmOmFib3V0PSJ1dWlkOmZhZjViZGQ1LWJhM2QtMTFkYS1hZDMxLWQzM2Q3NTE4MmYxYiIgeG1sbnM6ZGM9Imh0dHA6Ly9wdXJsLm9yZy9kYy9lbGVtZW50cy8xLjEvIi8+PHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9InV1aWQ6ZmFmNWJkZDUtYmEzZC0xMWRhLWFkMzEtZDMzZDc1MTgyZjFiIiB4bWxuczp4bXA9Imh0dHA6Ly9ucy5hZG9iZS5jb20veGFwLzEuMC8iPjx4bXA6Q3JlYXRlRGF0ZT4yMDIxLTAxLTIxVDIwOjE4OjA2LjM5MzwveG1wOkNyZWF0ZURhdGU+PC9yZGY6RGVzY3JpcHRpb24+PHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9InV1aWQ6ZmFmNWJkZDUtYmEzZC0xMWRhLWFkMzEtZDMzZDc1MTgyZjFiIiB4bWxuczpkYz0iaHR0cDovL3B1cmwub3JnL2RjL2VsZW1lbnRzLzEuMS8iPjxkYzpjcmVhdG9yPjxyZGY6U2VxIHhtbG5zOnJkZj0iaHR0cDovL3d3dy53My5vcmcvMTk5OS8wMi8yMi1yZGYtc3ludGF4LW5zIyI+PHJkZjpsaT5LQVNUQU5ZQSBEb2RkeSAtIChOUyZhbXA7TCkgLSBLSU5FQ1RSSUNTPC9yZGY6bGk+PC9yZGY6U2VxPg0KCQkJPC9kYzpjcmVhdG9yPjwvcmRmOkRlc2NyaXB0aW9uPjwvcmRmOlJERj48L3g6eG1wbWV0YT4NCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgPD94cGFja2V0IGVuZD0ndyc/Pv/bAEMABwUFBgUEBwYFBggHBwgKEQsKCQkKFQ8QDBEYFRoZGBUYFxseJyEbHSUdFxgiLiIlKCkrLCsaIC8zLyoyJyorKv/bAEMBBwgICgkKFAsLFCocGBwqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKv/AABEIATUBKQMBIgACEQEDEQH/xAAfAAABBQEBAQEBAQAAAAAAAAAAAQIDBAUGBwgJCgv/xAC1EAACAQMDAgQDBQUEBAAAAX0BAgMABBEFEiExQQYTUWEHInEUMoGRoQgjQrHBFVLR8CQzYnKCCQoWFxgZGiUmJygpKjQ1Njc4OTpDREVGR0hJSlNUVVZXWFlaY2RlZmdoaWpzdHV2d3h5eoOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4eLj5OXm5+jp6vHy8/T19vf4+fr/xAAfAQADAQEBAQEBAQEBAAAAAAAAAQIDBAUGBwgJCgv/xAC1EQACAQIEBAMEBwUEBAABAncAAQIDEQQFITEGEkFRB2FxEyIygQgUQpGhscEJIzNS8BVictEKFiQ04SXxFxgZGiYnKCkqNTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqCg4SFhoeIiYqSk5SVlpeYmZqio6Slpqeoqaqys7S1tre4ubrCw8TFxsfIycrS09TV1tfY2dri4+Tl5ufo6ery8/T19vf4+fr/2gAMAwEAAhEDEQA/APpGiiigAooooAKKKKACiiigAooooAKzNM/5Cms/9faf+iIq06zNM/5Cms/9faf+iIqxqfFD1/RnPV+On6/+2s06KKK2OgKKKKACsa1/5HrVP+wbZ/8Ao26rZrGtf+R61T/sG2f/AKNuqiW6/rozpo/w6n+H/wBuibNFFFWcwUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABWZpn/IU1n/r7T/0RFWnWZpn/ACFNZ/6+0/8AREVY1Pih6/oznq/HT9f/AG1mnRRRWx0BRRRQAVjWv/I9ap/2DbP/ANG3VbNY1r/yPWqf9g2z/wDRt1US3X9dGdNH+HU/w/8At0TZoooqzmCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAoJCqSxwBySe1FZHicaUdAlPiAk2CPG8kYyfNIcFU2jl9zYGzndnGDmgDVjkSWMPE6uh6MpyDWdpn/IU1n/r7T/0RFWf4Q0qWxXUbySzj02PUbgTRadGABbqEVRuC/KHbbubHAzjnBJfZxao3ifU3tbyzjsVuk86GS0Z5XPkR/dkEgC9uqHv+GNT4oev6M56vx0/X/wBtZ0FFFFbHQFFFFABWNa/8j1qn/YNs/wD0bdVs1jWv/I9ap/2DbP8A9G3VRLdf10Z00f4dT/D/AO3RNmiiirOYKKwPF3jfw94G0wX3iXUY7RHyIo8FpJT6Kg5P16DPJFfPPiT45+NPHuoGz+HtvJoumxMN1y23zW56u5yFHfauTweSOKqMJTlyxV2ROpCnFzm7Jdz6lor5r8HftD6z4anTSPilp80wAwmoQRr5mPVlHyuP9pefqa+g9C8Q6T4n0qPUtAv4b+0k6SQtnB9COqn2OCKUouLtJWY4yjNKUXdM0aKKKRQUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFVdQ0yw1e1NrqtlbX1uWDGK5iWRMjocMCM1aooAo6ZomlaLHImjaZZ6ekhBdbS3WIOR0JCgZqLTP+QprP/X2n/oiKtOszTP+QprP/X2n/oiKsanxQ9f0Zz1fjp+v/trNOiiitjoCiiigArGtf+R61T/sG2f/AKNuq2SQoJJwBySe1eJePfjnpHg7xNftoMSa9e3FrBaR+RIPJjljeUursOSQJk4XOeQSCKiW69f0Z00f4dT/AA/+3RPY9R1Kx0fT5b7VbuGztIRmSeeQIij3JrwPxr+0lLe3T6N8L7B7u5YlBqM8WRj+9HGf/QnwBjlTXneoWvjH4m6kNT8dajNb2m4tFYplRGOwSPonBI3NluOc5zXU6To9jolmLbToFiQfePVnPqx6k17eEymtX96fux/E+Vx+fYfDXhS9+X4L5/5HLWvgi+1vUDq/jvUrjUr2UZaJpS2O+0vnoMnhcAdjiuzhgitoVht4kiiQYVI1Cqo9gKkor6nD4Sjho2pr59T4fF4/EYyXNWl8ui+RWv8ATrPVLVrbULeO4iP8LrnBwRkHscE8jmuPi8P+JvA2pNq3w91e4iPV7bcMsOOCD8sg6nBHp1NdzRU4nBUcSvfWvfqXgsyxGCl+6enZ7f16HS+Af2kNJ1q5TSvGtt/YOpA+WZyT9ndwcEHPMZ9jkdeR0r2yORJoklhdZI3UMrqchgehB7ivljXPDOl+IIsahB+9Awk8fyyKPQHuOTwcjmsbQdd8d/CGUy6Ndf2voY+aW0lBKKMctsyTGevzKccc+lfK4vK62H95e9Hv/mj7rAZ3h8XaMvdl2f6M+wqK85+Hnxs8MeP0S3WT+y9VJ2/YLqQZc/8ATNuN/wCQPtXo1eUe4FFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABWZpn/ACFNZ/6+0/8AREVadZmmf8hTWf8Ar7T/ANERVjU+KHr+jOer8dP1/wDbWadFFY/iXxZofhDTTf8AiTUoLCDnb5jfNIQM4VRyx9gDWx0GxXEePfi14W+Htuy6refaNRK5j0+2IaVvTd2Qe7Y74z0rxPxj+0H4k8Xzz6X8O7STS7HlHvnI89lPfPSLv0y3GQQeK4TTPCFtBIbnVn+33btvYvkruPJ6/eOc8nr6VjUrwp7nq4DKcVj3+6jaPd7f8H5G54r+JPjj4qbrbP8AYegSYzbQsQJV/wBpuDJ344Xjpnmp/CXh6w0qE+VH5s0bblmlALKWGGx6ZAxxRWro33ZfqP610ZLWdbMYKS01/JnXxbk9HLeHa84Nub5U35c0dLdjTooor9JP54CiiigAooooAKKKKAOV8Q+AdN1qRrm2JsL0nd5kQ+V2yDll9evIwcnJzWn4Y+M/jT4avBpnjK0bW9HUhEudxMirzwsp4boTtfnA6gVr0yWKOeFop41ljcYZHUFWHoQeteTi8qo1/ej7svw+49/AZ5iMLaE/ej57r0Z7p4R8eeHPHNgLnw5qUVyQuZLcnbNF/vIeR169PQ10VfG194En07UU1fwVfzaXfwtvRFkKgHj7rDle/ByDnHArv/BX7Rt9pl8mjfFKwNuyjA1GGIgnkjLoOGB/vJxx0PWvlcTg62Gdqi079D7nB5hh8ZG9KWvbqfRVFU9J1jTtd02LUNGvYL60lGUmgcMp9uOh9uoq5XId4UUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFcn43W/R9HuLfUpLe2XVbNJLeJcGYtOoO5uu3B+6Mc9SelaHjGC+u/DE9rpZAubiSKMZuDB8pkXeN45U7d3TJ9BQBuViw31ppk2vXuo3MNraw3KtLNM4REHkRckngVR8GGO1k1PSnspLS7s5UMynUZb1HDoCrLJL8w4BBXAwR3zmvmb4halrPxA8UzJdXzWumJPK0lpE52ZSaSJDt6FtkSgsfcgc4rnrSUXFvv+jJjQqYivSpUleTlp/4DI9D8eftKQRXDaR8N7T+07wsVN9NGfKGOuxOC/f5jgDGfmFeQTaRq/ifVm1fxzqU2oXT/wDLNpM4Gc4yOFXr8q4Hoe1aum6TZ6VAI7KFUOMNIRl3+p/p0q7XFVxkpaQ0P0jLuGaVG1TFe9Lt0/4P5EVvbw2sCw20SxRr0VBgCpaKK4b33ProxUVyxVkFaujfdl+o/rWVWro33ZfqP6173D3/ACMYfP8AJnwviD/yTtb1h/6UjTooor9QP5eCiiigAooooAKKKKACiiigAqlqekWGs2v2fU7ZLiPORuyCp9iOR07GrtFKUYzXLJXRcJypyUoOzRxNjYeL/hvfvqXw/wBTmkhbma0cBt4AP3kPyv7YAbngd69k8A/tF6B4h2af4uC+H9WB2MZCRbyNnHDH7n0bp6muRrE1/wAJ6X4hjJu4fLuduEuY+HHTr2YcY598Yr57F5LGXvYd2fb/ACPrMBxHKNoYpXXdb/Ndf63Pq1WV1DIQysMgg5BFLXy38EfFPiHw38W7fwDcam9/pEyyKscvSIiEyqyZyV6YKg45PoK+pK+YlFwk4y3R9rCcakFOLunqgoooqSwooooAKKKKACiiigAooooAKKKKAK19p1rqUcUd7F5iwzx3CDcRiRGDKeD2IBx0qC90PT9RhuYr2F5UunR5AZnGGTG1kIPyEFQQVwcjPWtCigClpmkWWkJMtjG4M8nmSySyvK8jYAyzuSx4AAyeAABXyT/zG7//AK6zf+llzX2HXx5/zG7/AP66zf8ApZc1w434F6/oz08m/wCRrhv8T/8ASJFiiiivKP2MKKKKACtXRvuy/Uf1rKrV0b7sv1H9a97h7/kYw+f5M+D8Qf8Akna3rD/0pGnRRRX6gfy8FFFFABRRRQAUUUUAFFFFABRRRQAUUUUAc58Pf+TsNO/7a/8ApC9fW1fJPw9/5Ow07/tr/wCkL19bV+e4z/ean+J/mfrWX/7nS/wx/JBRRRXMdoUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAV8ef8AMbv/APrrN/6WXNfYdfHn/Mbv/wDrrN/6WXNcON+Bev6M9PJv+Rrhv8T/APSJFiiiivKP2MKKKKACtXRvuy/Uf1rKrV0b7sv1H9a97h7/AJGMPn+TPg/EH/kna3rD/wBKRp0UUV+oH8vBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAHOfD3/k7DTv8Atr/6QvX1tXyT8Pf+TsNO/wC2v/pC9fW1fnuM/wB5qf4n+Z+tZf8A7nS/wx/JBRRRXMdoUUUUAFFFFABRRRQAUUUUAFFFFABRRUF6bsWUv9nLC11j9355ITPqcDP4d/brQBPXx5/zG7//AK6zf+llzX1H4Hvb7UPCcM+q3Iurv7RcxyShAgbZcSIMKOgwo4r5aLEa/eqEYgyT5YYwv+mXPXnPNcON+Bev6M9LJ3bNcN/if/pEi1RRRXlH7IFFFFABWro33ZfqP61lVq6N92X6j+te9w9/yMYfP8mfB+IP/JO1vWH/AKUjTooor9QP5eCiiigAooooAKKKKACiiigAooooAKKKKAOc+Hv/ACdhp3/bX/0hevravkn4e/8AJ2Gnf9tf/SF6+tq/PcZ/vNT/ABP8z9ay/wD3Ol/hj+SCiiiuY7QooooAKKKKACiiigAooooAKKKKACiiigCjo+kwaJposrV5HjEssuZCCcySNIegHGWOPbFfJX/Mbv8A/rrN/wCllzX2HXx5/wAxu/8A+us3/pZc1w434F6/oz08m/5GuG/xP/0iRYoooryj9jCiiigArV0b7sv1H9ayq1dG+7L9R/Wve4e/5GMPn+TPg/EH/kna3rD/ANKRp0UUV+oH8vBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAHOfD3/AJOw07/tr/6QvX1tXyT8Pf8Ak7DTv+2v/pC9fW1fnuM/3mp/if5n61l/+50v8MfyQUUUVzHaFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFfHn/Mbv/wDrrN/6WXNfYdfHn/Mbv/8ArrN/6WXNcON+Bev6M9PJv+Rrhv8AE/8A0iRYoooryj9jCiiigArV0b7sv1H9ayq1dG+7L9R/Wve4e/5GMPn+TPg/EH/kna3rD/0pGnRRRX6gfy8FFFFABRRRQAUUUUAFFFFABRRRQAUUUUAc58Pf+TsNO/7a/wDpC9fW1fJPw9/5Ow07/tr/AOkL19bV+e4z/ean+J/mfrWX/wC50v8ADH8kFFFFcx2hRRRQAUUUUAFFFFABRRRQAUUUUAFFcnrut6wmoasmjPaxR6NYpdSLcRFzcuwdvLBDDYNsf3sHlunHNvxB4gltPBP9r6Yv72dYPIDQtLgyuig7F5bG/OBzxQB0NfHn/Mbv/wDrrN/6WXNfUnhPU5tStLn7Xqkd/PDNsdRp0lk8Pyg7WjkYtznIPGQeK+WfEZbwn42n0vX0+y3E7SSAl1ZVDXE7rlgSBlXX6Z5xXFjE5Qil3/RnflVSFLM8POo7Lmev/bki1RSAhlBU5BGQR3FLXkn7Ne+qCiiigYVq6N92X6j+tZVaujfdl+o/rXvcPf8AIxh8/wAmfB+IP/JO1vWH/pSNOiiiv1A/l4KKKKACiiigAooooAKKKKACiiigAooqK5uoLK2e4u5kghT70kjBVHbqfehtJXY0nJ2W5g/D3/k7DTv+2v8A6QvX1tXyH8Jrhdd/abstS0tZJrSNZneTYQFUWrR7jnoCxA59RX15X55ipKVecls2/wAz9bwUZQwtOMlZqK/IKKKK5zrCiiigAooooAKKKKACiiigAooooA5zWfDF1qF7fzafqa2SanaLaXivbeaSqlsMh3AK212GSGH3Tjjm7c6VenT3tdO1JbERmL7GUg3eUqY+Rxu+dWwQQNpwcZzzWtRQBkaNos2n3moX99dpdXt/IjSPFCYkVUXaiqpZjwMkkk5JPQYA5fxN8NfDfxCm1eHxBZ5njuVWG8hO2aH9xH0buM84OR7V39Zmmf8AIU1n/r7T/wBERVjU+KHr+jOer8dP1/8AbWfLXiz4Q+NPhnNLdaCH8QaFncfLjJkiH+1GOQefvLkdzjpWHo3iax1dQgb7PcZx5Mjcn/dP8X8/avtSvLPiF8A/DHjbz76xT+x9YkJf7Tbr8krn/nonQ5PUjB+tTVw8Kmr3Po8vzrFYG0Yvmj2f6dv60PF6Kyde0Txp8MrhIPFmmtc6ZuEcV9D86Eezjv8A7L4Jx6Va0/VbLVIt9lcLJgZZOjL9R1ry6tCdPfY/QsvzjC49Wg7S7Pf5dy5Wro33ZfqP61lVq6N92X6j+tevw9/yMYfP8mfOeIP/ACTtb1h/6UjTooor9QP5eCiiigAooooAKKKKACiiigAorC1/xfpXh9WS5m826A4toiC+cA/N/d6g89umapaD4H8ffF8o/kjQ/DshDefMpCSLuyCo+9Kfphcr2Nebi8yo4b3d5dl+p7WAybE4y0rcse7/AEXX8vMh134g2VlILTRFGqXsh2KIiSikjjkffOSOF9+Qa6Hwn8B/FPjy6TVviPdz6TZA5islUecynqAvSIYHUgtxyO9e0eAvg/4V+HyLNptp9r1LHzahd4eXpg7OyDr0555Jruq+UxWOrYp++9O3Q+6wOWYbBL92ry7vf/gfIxvC/hHQvBulDT/DenQ2UHV9gy8h9XY8sfqa2aKK4T0wooooAKKKKACiiigAooooAKKKKACiiigAooooAKzNM/5Cms/9faf+iIq06zNM/wCQprP/AF9p/wCiIqxqfFD1/RnPV+On6/8AtrNOiiitjoIbyzttQs5bS+t47m3mXbJFKgZXHoQeteFePP2bLSaU6t8OLk6VfqS32KSQ+S5P9xuqdTwcr24r3uigabTuj4jn1XWfC2rHSPHemTafcqMiRo8bhn73HDL1+ZeOK7Hw9cwXdvJLaypLGSMMjZFfSfiTwloXi/TjY+I9Mt7+Hnb5i/NGemVYcqfcEV86eKPgx4l8I6tdp8Nbma/t7SNbyW1kYeaySllChcbZNvkt6H5hgE1eCdPCYuFe3fbzTO3MsXi80yitgJyvomm99JR0b/pmhRXH6N8QbK4l+xa9G2l36HZIJVKpuHBGTyv0bp6muw61+g0MRSrx5qbufimJwlfCz5K0bf10CiiitzlCiiigAoqOaeK2haa4lSKJBlnkYKqj3Jri73xzdaxqEejeBrCbUb+4O2ORYiecdVTqcc8tgDHIIrmxGKo4aN6j+XU7cJgcRjJctGN/PovmdXqer2GjWv2jU7lLePOBuySx9gOT17VyljqHjD4kalJpngDTZo7dQBLdMApQEHO6QnansB83HB7V6H4K/Zwu9Rvl1r4p3zXMxO7+zYZc984eQdB1+VOOnPavfNK0jT9D02LT9Hs4bK0hGI4YECqPwHf1PU18ti82q1vdp+7H8T7jAZDQw1p1ffl+C+X+Z5P8Pv2dfD/hrytR8Ulde1f7zCTm2jbOflQjLn3br6CvZAAoAAwBwAO1FFeMfRBRRRQAUUUUAFFFFABRRRQAUVif8JdpPre/+C64/wDiKP8AhLtJ9b3/AMF1x/8AEVj7ej/MvvRz/WaH86+9G3RWJ/wl2k+t7/4Lrj/4ij/hLtJ9b3/wXXH/AMRR7ej/ADL70H1mh/OvvRt0Vif8JdpPre/+C64/+IqlpPjCFrKQ6st4k/2q4CBdOn/1QmcRHhO8ew+vPODR7ej/ADL70H1mh/OvvR1FFYn/AAl2k+t7/wCC64/+Io/4S7SfW9/8F1x/8RR7ej/MvvQfWaH86+9G3RWJ/wAJdpPre/8AguuP/iKP+Eu0n1vf/Bdcf/EUe3o/zL70H1mh/OvvRt1maZ/yFNZ/6+0/9ERVX/4S7SfW9/8ABdcf/EVQsPE+mRahqjubvbNcK6YsJyceTGvICccg8HB79CKxqV6XND3lv3XZmFXE0OeHvrfuv5WdVRWJ/wAJdpPre/8AguuP/iKP+Eu0n1vf/Bdcf/EVt7ej/MvvRv8AWaH86+9G3RWJ/wAJdpPre/8AguuP/iKP+Eu0n1vf/Bdcf/EUe3o/zL70H1mh/OvvRt1jWv8AyPWqf9g2z/8ARt1Tf+Eu0n1vf/Bdcf8AxFZNt4o0xfGeozE3mx9PtEH+gT5yJLgnjZkfeHPfn0NRKvSuveX3rsdVDE0PZ1ffXw91/NEj8efCjwv8QLST+1LJINQK4j1G3ULMnpk/xj2bP4V89eJPAfjv4Qv9pVjrvhxDzJFkiNf9peTF35GV9fSvp/8A4S7SfW9/8F1x/wDEUHxbpDAg/bSDwQdNuOf/ACHW9PGQpS5oVEn6nBWnhK8HCpKLXqj5q8P+L9L8RDZayGK5Ay1vLw31HYj6fiBW7W18QvhP4I8WTPqPh+S80DVidxeDSrjyZW65ZAg2n3XHqQa80tm8aeEnNt4l0yW9sVk8uO+ZvLLf7pk2luhOGAP8q+kwnENB+7iJJed/0PjsfktKN54Son5Nr8H/AJnY1yniDx/pujO1vaf6fedPLib5UORwzevXgZ5GDiqy6J448e3SQ+Q2iaNKDuuEV5kYYwQTEGZ85IxgL6+tet+A/AnhD4f65YzWltd6pJ9lma51K70uYuk4aLyhGuz5BjzjkZPHLdKzxfENJ+7h5L1bX4L/ADNcBkuHVp4uovRNfi/8vvPP/C/wW8bfEiSLUfGt1JomkF9yWzJtlZeT8kX8PUjc/wA2OzCvovwh4E8OeBtP+yeG9NjttwAlnPzSzH1ZzyfXHQdgKm/4S7SfW9/8F1x/8RR/wl2k+t7/AOC64/8AiK+dniqc5c0ppv1PrqdXC04qEJRSXZo26KxP+Eu0n1vf/Bdcf/EUf8JdpPre/wDguuP/AIip9vR/mX3ov6zQ/nX3o26KxP8AhLtJ9b3/AMF1x/8AEVSv/GEK3umCwW8aBrphek6dP8sXkyEEZT/noIhxk8+maPb0f5l96D6zQ/nX3o6iisT/AIS7SfW9/wDBdcf/ABFH/CXaT63v/guuP/iKPb0f5l96D6zQ/nX3o26KxP8AhLtJ9b3/AMF1x/8AEUf8JdpPre/+C64/+Io9vR/mX3oPrND+dfejborE/wCEu0n1vf8AwXXH/wARVLVvGEK2UZ0lbx5/tVuHDadP/qjMglPKdo959eOMmj29H+Zfeg+s0P5196OoorE/4S7SfW9/8F1x/wDEUf8ACXaT63v/AILrj/4ij29H+Zfeg+s0P5196NuiiitjoCiimSyrBC8smdkalm2qWOAM8Acn6CgB9FcU+oWfjLxRaWUc98unR2U8zR7Z7N5JQ8SgnOxiFDnHbLeoGLGl32p3/wAJvtKS79SbT5UimlcJvkAZUdmOAMkAk+9AHW0Vxng+3/sbXJ9HvbKSC9azS4Ev9rT3qSoGKn/W42MD1AGDnrxiuzoAKKKKACszTP8AkKaz/wBfaf8AoiKtOszTP+QprP8A19p/6IirGp8UPX9Gc9X46fr/AO2s06KKK2OgKKKKACsa1/5HrVP+wbZ/+jbqqOs241fxnZaTdzTpZLp81yYoJ3hMkgkjQEshBO0McDpls9hXP6Dfanf6Dqlyku/Um8O26RTSuE3yCS7VHZjgDJAJPvUS3X9dGdNH+HU/w/8At0T0eiuM8H2/9ja5Po97ZSQXrWaXAl/tae9SVAxU/wCtxsYHqAMHPXjFdnVnMFQ3VpbX1u0F7bxXELfejlQOp+oPFTUUANjjSGJIoUWONFCqijAUDoAOwp1FcnGt/D8Vo1udSknt5tKuHjtguyOECaEDju3JyxP0AoA6yiiigAooooAKKzfEEF3caHcJYXzWEmwlpo0DOFAOQueFPvg49Kr+EJnk8BaFPO7SSNplu7u7ZLHylJJJ7+9AG1RXnnhC3utG1jTI9ftH+36pbSMt3FrM10juAHcNE2ETg8Fdw4xn19DoAKKKKACiiuM8a2sckzrFdX8+sXdv5Wl2NrcvEIpBnMx2kYALKWZsgBQBycEA7Oio7dZUtYluHEkyoBI4GAzY5OO3NSUAFFFFABRRRQBn6poVhrLQvfJL5kIYRywXEkLqGGGG5GBwcDIzjgegpDoGlmza0Nov2VrQWZt9x8ryRkBdmdvQ4zjPvWjRQBm6XoGn6PNLNZpMZpVVHmuLmSdyq52rukZiAMngHGST1NaVFFABRRRQAVmaZ/yFNZ/6+0/9ERVp1maZ/wAhTWf+vtP/AERFWNT4oev6M56vx0/X/wBtZp0UUVsdAUUUUAZ+qaFYay0L3yS+ZCGEcsFxJC6hhhhuRgcHAyM44HoKyLfRtPfxNqemtaR/YRotnbC2x+78oyXI27emMACunrGtf+R61T/sG2f/AKNuqiW6/rozpo/w6n+H/wBuiT6XoGn6PNLNZpMZpVVHmuLmSdyq52rukZiAMngHGST1NaVFFWcwUUUUAFVm061bVY9SaLN3HC1usm48RsysRjOOqLzjPFWaKACiiigAooooAbJGs0TxyDKOpVhnqDVS20iytILKC3iZIrGD7PBH5rFVj2hcEE/Nwo5bJ/M1dooAyNM8LaRo9yk9hbyK8UZhhElxJIsCEglY1ZiEHA4UDgAdAK16KKACiiigArEv/COk6jq0mpzi+jvJI1ieW21K4t9yLkgYjkUYBJPTua26KAGxxiKJI0LFUUKCzFjgepPJPuadRRQAUUUUAFFFFABRRRQAUUUUAFFYGs+K49JvLiCPT7q+FlbC6vXt9mLeIlsEhmBY/I52rk4X3GdW71G3s9In1KR91tDA1wzL3QLuyPwFAFqszTP+QprP/X2n/oiKo9C1i91eNpLvQ7vTI9itG1xNC/mZ7YjdiMe+KrWes6XaeJ9T0661Kzhvri6Qw2sk6rLIPIjGVQnJ6Hp6GsanxQ9f0Zz1fjp+v/trOgooorY6AooooAKxrX/ketU/7Btn/wCjbqtmsa1/5HrVP+wbZ/8Ao26qJbr+ujOmj/Dqf4f/AG6Js0UUVZzBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABUF9BNc2MsNrdyWcrjC3EaKzRn1AYEH8RU9FAHDXmja9p7axFDFPrratp6263jtDCY5R5i/vB8o27ZF5RSflbjOM7l3p86+GJtDhsFvY003yVM8oSO4O0p5bYO4ZA5OMfNW7RQByPhnRHs/El1f2mhjw/YSWccTWYMQ86YMSZCsTMvAO3JOTn0Arb0z/kKaz/ANfaf+iIq06zNM/5Cms/9faf+iIqxqfFD1/RnPV+On6/+2s06KKK2OgKKKKACsa1/wCR61T/ALBtn/6Nuq2axrX/AJHrVP8AsG2f/o26qJbr+ujOmj/Dqf4f/bomzRRRVnMFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAVmaZ/yFNZ/6+0/9ERUUVjU+KHr+jOer8dP1/8AbWadFFFbHQFFFFABWNa/8j1qn/YNs/8A0bdUUVEt1/XRnTR/h1P8P/t0TZoooqzmCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAP//Z" data-image-state="image-loaded"></div><div style="block-size: 84px; 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 42px; text-align: left; transform-origin: 384px 42px; 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 hexagon is to be split into two regions (e.g., red and blue). Given the ratio of the two regions and the side of the hexagon, determine x coordinate of the line that splits the regions. The ratio between the regions (red to blue) is presented through the first two entries in the input. For example, if the ratio is 2 to 1, then these two numbers will be the first two numbers in the input. The last entry is the side of the hexagon.</span></span></div></div></div>

Solve

Solution Stats

75 Solutions
22 Solvers

Last Solution submitted on Jun 10, 2023

Last 200 Solutions

Problem Comments

1 Comment

1 Comment

Christian Schröder on 17 Feb 2023

It'd be nice if this had test cases with side lengths ~= 1.

Solution Comments

Show comments

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 49923. Splitting Hexagon - Problem the first

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers22

Suggested Problems

More from this Author180

Problem Tags

Community Treasure Hunt

Problem 49923. Splitting Hexagon - Problem the first

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers22

Suggested Problems

More from this Author180

Problem Tags

Community Treasure Hunt

Players