{"group":{"group":{"id":59027,"name":"Easy Sequences Volume VII","lockable":false,"created_at":"2022-12-27T13:52:06.000Z","updated_at":"2026-04-06T14:01:22.000Z","description":"Collection of math challenges. Not necessarily easy and not necessarily about sequences...","is_default":false,"created_by":255988,"badge_id":62,"featured":false,"trending":false,"solution_count_in_trending_period":2,"trending_last_calculated":"2026-04-06T00:00:00.000Z","image_id":5485,"published":true,"community_created":true,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCollection of math challenges. Not necessarily easy and not necessarily about sequences...\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}","description_html":"\u003cdiv 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; \"\u003e\u003cdiv style=\"block-size: 42px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 289.5px 21px; transform-origin: 289.5px 21px; vertical-align: baseline; \"\u003e\u003cdiv style=\"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: 266.5px 21px; text-align: left; transform-origin: 266.5px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 247px 8px; transform-origin: 247px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eCollection of math challenges. Not necessarily easy and not necessarily about sequences...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","published_at":"2023-01-22T09:38:46.000Z"},"current_player":null},"problems":[{"id":53079,"title":"Easy Sequences 50: Blocked Gaussian Integers","description":"A Gaussian Integer is a complex number whose real and imaginary parts are both integers.\r\nA gaussian integer  is said to be blocked with respect to another gaussian integer , if the line segment connecting  and  on the complex plane, pass through at least one more gaussian integer. In the figure below, where , the red colored points represents the blocked gaussian integers with respect to , While the green points represents unblocked gaussian integers.\r\n                                                  \r\nIn the above figure, blocked gaussian points, ,  and , are shown. These points lie within the a square with side lengths , in which  is at the center. But these are not the only blocked gaussian points for this case.  and  are also blocked points. The sum total of all blocked gaussian integers relative to  and bounded by the square with side  and is .\r\nGiven a gaussian integer , centered at a square of side , find the absolute value of the sum of all blocked gaussian integers around , with respect to , that lies within the square (including, any blocked gaussian points along the edges of the square). Therefore, in the example above, your program should output: .\r\nPlease round-off your answer to 4 decimal places.","description_html":"\u003cdiv 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; \"\u003e\u003cdiv style=\"block-size: 722.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 361.25px; transform-origin: 407px 361.25px; vertical-align: baseline; \"\u003e\u003cdiv 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; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 6.5px 8px; transform-origin: 6.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Gaussian_integer\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eGaussian Integer\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 225px 8px; transform-origin: 225px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is a complex number whose real and imaginary parts are both integers.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv 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; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 61px 8px; transform-origin: 61px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA gaussian integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABcAAAAkCAYAAABixKGjAAAA00lEQVRIie2VQQ3DMAxFH4cwGIESKIIhCIMyKINRKIZBKIdQGIZSaA+2parKdkgcaarypKi3b+f7u4FO51YEYNavOxHYgbGF+BtYadB5QLp+egujok26Blho5HURA+Ljr7OUik8q8EH8PJ8NSBWNs2qBK1ELVg0vJzwgXQ81wjmCCjfJciJ/m2oWZL3dmahMxjdGHJKRw5Lx8BYOiBXRWxhkeLbiK44/pRdix3YqcF2cRKFlZxFb9V0FbbBWuPpG9vBuiF2WINfcB+QmM//0MHRuxAHmODh6hQd5nwAAAABJRU5ErkJggg==\" style=\"width: 11.5px; height: 18px;\" width=\"11.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 42px 8px; transform-origin: 42px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is said to be \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28px 8px; transform-origin: 28px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eblocked\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 130.5px 8px; transform-origin: 130.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e with respect to another gaussian integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ez\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 100px 8px; transform-origin: 100px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, if the line segment connecting \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ez\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABcAAAAkCAYAAABixKGjAAAA00lEQVRIie2VQQ3DMAxFH4cwGIESKIIhCIMyKINRKIZBKIdQGIZSaA+2parKdkgcaarypKi3b+f7u4FO51YEYNavOxHYgbGF+BtYadB5QLp+egujok26Blho5HURA+Ljr7OUik8q8EH8PJ8NSBWNs2qBK1ELVg0vJzwgXQ81wjmCCjfJciJ/m2oWZL3dmahMxjdGHJKRw5Lx8BYOiBXRWxhkeLbiK44/pRdix3YqcF2cRKFlZxFb9V0FbbBWuPpG9vBuiF2WINfcB+QmM//0MHRuxAHmODh6hQd5nwAAAABJRU5ErkJggg==\" style=\"width: 11.5px; height: 18px;\" width=\"11.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 311.5px 8px; transform-origin: 311.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e on the complex plane, pass through at least one more gaussian integer. In the figure below, where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg 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style=\"width: 63.5px; height: 18px;\" width=\"63.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 16px 8px; transform-origin: 16px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the red colored points represents the blocked gaussian integers with respect to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ez\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 113px 8px; transform-origin: 113px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, While the green points represents unblocked gaussian integers.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 404.5px; 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 202.25px; text-align: left; transform-origin: 384px 202.25px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 100px 8px; transform-origin: 100px 8px; unicode-bidi: normal; \"\u003e\u003cspan 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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv 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; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 143px 8px; transform-origin: 143px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIn the above figure, blocked gaussian points, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB0AAAAkCAYAAAB15jFqAAABMUlEQVRYhe2WUZHDMAxEHwczKIEQCIIgCIMwKIOjEAyGEA6hYAylcPdha0buJbac5uvOO6Of1NYqWWlV6Oj46xhTDBfvOuthB6zA91u8gMWYY0t3dgvxIyV/J9TxZSDV50dLhQGY1bOB328+VfLMqfhqgVM6eKbfU5H6WjIrPGXNHLm+t2AlalqCNMhtpBYI6Xbwm4zXk/jVAg0jU0JIpEcyTOQNt99B+EjJAucyjLSNVhXSvaVmW2iYzxocsXmOtNTwivRjeGyWJm5WK66KhahjzfS1nlaPPsRsJITcsa5spWZCuME4JgPhQD468pbrFcKBWG2p5R2xsYRU6ykbaqNuqxnhTtToLAJ5h2o95U+AyRyEsLTAz3aqNoWdhtXnU/WW8OQz69T9j8alo6PjH+IHu6B/3OiYY/8AAAAASUVORK5CYII=\" style=\"width: 14.5px; height: 18px;\" width=\"14.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 39px; height: 18px;\" width=\"39\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 16px 8px; transform-origin: 16px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 39px; height: 18px;\" width=\"39\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 168px 8px; transform-origin: 168px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, are shown. These points lie within the a square with side lengths \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 36.5px; height: 18px;\" width=\"36.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 31px 8px; transform-origin: 31px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, in which \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 63.5px; height: 18px;\" width=\"63.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 256.5px 8px; transform-origin: 256.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is at the center. But these are not the only blocked gaussian points for this case. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 49.5px; height: 18px;\" width=\"49.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 16px 8px; transform-origin: 16px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 39px; height: 18px;\" width=\"39\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 258.5px 8px; transform-origin: 258.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are also blocked points. The sum total of all blocked gaussian integers relative to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 63.5px; height: 18px;\" width=\"63.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 16px 8px; transform-origin: 16px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and bounded by the square with side \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 36.5px; height: 18px;\" width=\"36.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23px 8px; transform-origin: 23px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 54px; height: 18px;\" width=\"54\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 90px 8px; transform-origin: 90px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eGiven a gaussian integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ez\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 105px 8px; transform-origin: 105px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, centered at a square of side \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ea\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 33px 8px; transform-origin: 33px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, find the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 91px 8px; transform-origin: 91px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; text-decoration: underline; text-decoration-line: underline; \"\u003eabsolute value of the sum\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 51px 8px; transform-origin: 51px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e of all blocked gaussian integers around \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ez\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 56.5px 8px; transform-origin: 56.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e with respect to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ez\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 95px 8px; transform-origin: 95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, that lies within the square\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4.5px 8px; transform-origin: 4.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28px 8px; transform-origin: 28px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"text-decoration: underline; text-decoration-line: underline; \"\u003eincluding\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 95.5px 8px; transform-origin: 95.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, any blocked gaussian points along the edges of the square). Therefore, in the example above, your program should output: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 153px; height: 18.5px;\" width=\"153\" height=\"18.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv 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; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 157.5px 8px; transform-origin: 157.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ePlease round-off your answer to 4 decimal places.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function absSum = blockedGaussian(z,a)\r\n  z = a;\r\nend","test_suite":"%%\r\nz = 3+2i; a = 9;\r\nabsSum_correct = 115.3776;\r\nabsSum = blockedGaussian(z,a);\r\nassert(isequal(absSum,absSum_correct))\r\n%%\r\nz = 7-10i; a = 99;\r\nabsSum_correct = 45994.3016;\r\nabsSum = blockedGaussian(z,a);\r\nassert(isequal(absSum,absSum_correct))\r\n%%\r\nz = -1-i; a = 999;\r\nabsSum_correct = 552493.6408;\r\nabsSum = blockedGaussian(z,a);\r\nassert(isequal(absSum,absSum_correct))\r\n%%\r\nz = -4+5i; a = 9999;\r\nabsSum_correct = 250953396.5632;\r\nabsSum = blockedGaussian(z,a);\r\nassert(isequal(absSum,absSum_correct))\r\n%%\r\nz = 10+i; a = 99999;\r\nabsSum_correct = 39401199538.8094;\r\nabsSum = blockedGaussian(z,a);\r\nassert(isequal(absSum,absSum_correct))\r\n%%\r\nz = [1+2i 3-2i 7+7i]; a = 123456;\r\nabsSum_correct = [13362525603.2731 21546425116.3652 59158422678.1219];\r\nabsSum = blockedGaussian(z,a)\r\nassert(isequal(absSum,absSum_correct))\r\n%%\r\nz = arrayfun(@(x) x + i*(x-1)*(-1)^x,1:100); a = 7777;\r\nstat_correct = [1677439212.6962 1677263085.6360 23718896.0000 972842722.3354];\r\nabsSum = blockedGaussian(z,a);\r\nstat = round([mean(absSum) median(absSum) mode(absSum) std(absSum)],4);\r\nassert(isequal(stat,stat_correct))\r\n%%\r\nz = -123+456i; a = 2:2:2000;\r\nstat_correct = [247640834.4715 185966225.8317 0.0000 221359619.596];\r\nabsSum = arrayfun(@(b) blockedGaussian(z,b),a);\r\nstat = round([mean(absSum) median(absSum) mode(absSum) std(absSum)],4)\r\nassert(isequal(stat,stat_correct))\r\n%%\r\nfiletext = fileread('blockedGaussian.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":1,"comments_count":6,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":"2021-11-18T04:24:31.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-11-16T06:04:44.000Z","updated_at":"2025-10-07T14:22:21.000Z","published_at":"2021-11-17T07:50:09.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Gaussian_integer\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eGaussian Integer\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e is a complex number whose real and imaginary parts are both integers.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA gaussian integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ez'\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is said to be \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eblocked\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e with respect to another gaussian integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ez\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, if the line segment connecting \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ez\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ez'\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e on the complex plane, pass through at least one more gaussian integer. In the figure below, where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ez=3+2i\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the red colored points represents the blocked gaussian integers with respect to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ez\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, While the green points represents unblocked gaussian integers.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                                                  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIn the above figure, blocked gaussian points, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e2i\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e1-2i\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e7+6i\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, are shown. These points lie within the a square with side lengths \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea=9\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, in which \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ez=3+2i\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is at the center. But these are not the only blocked gaussian points for this case. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e-1-2i\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e7+2i\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e are also blocked points. The sum total of all blocked gaussian integers relative to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ez=3+2i\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and bounded by the square with side \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea=9\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e96+64i\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eGiven a gaussian integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ez\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, centered at a square of side \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, find the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eabsolute value of the sum\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e of all blocked gaussian integers around \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ez\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e with respect to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ez\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, that lies within the square\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e (\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eincluding\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, any blocked gaussian points along the edges of the square). Therefore, in the example above, your program should output: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e|\\\\ 96+64i\\\\ |=115.3776\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ePlease round-off your answer to 4 decimal places.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"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/4REARXhpZgAATU0AKgAAAAgABAE7AAIAAAASAAAISodpAAQAAAABAAAIXJydAAEAAAAkAAAQ1OocAAcAAAgMAAAAPgAAAAAc6gAAAAgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAFJhbW9uIFZpbGxhbWFuZ2NhAAAFkAMAAgAAABQAABCqkAQAAgAAABQAABC+kpEAAgAAAAMxNAAAkpIAAgAAAAMxNAAA6hwABwAACAwAAAieAAAAABzqAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA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Sequences 51: Positive Gaussian Primes","description":"A Gaussian Prime is a gaussian integer that cannot be decomposed as product of two non-unit gaussian integers (the complex units being: , ,  and ). We say that a gaussian prime , is positive, if   and . \r\nWrite a function that counts the number of elements of set, ,of all positive gaussian primes , such that  and  are both .\r\nFor example, for , the complete set of positive gaussian primes are as follows:                         \r\n            \r\nTherefore, for  the function should return .","description_html":"\u003cdiv 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; \"\u003e\u003cdiv style=\"block-size: 226.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 113.25px; transform-origin: 407px 113.25px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; 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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: 316px 8px; transform-origin: 316px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is a gaussian integer that cannot be decomposed as product of two non-unit gaussian integers (the complex units being: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e1\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACoAAAAkCAYAAAD/yagrAAAAhUlEQVRYhe3XUQmAMBhF4ZPFAhYwgQlsYIM1sIsRDGMGK8wHBwoqCv5uE+8H99nDGMJARCS2MnXAlQYYgT51yJmaJdCHZRnaAW1Y1qFbCrWmUGsKtWYSWhksSqh/uClW6PBwdz7+rzsag0KtKdSSYw0dgSJtzl7DcoJHvzTHB95PIiLyshkwkls8t0LQOAAAAABJRU5ErkJggg==\" style=\"width: 21px; height: 18px;\" width=\"21\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ei\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 16px 8px; transform-origin: 16px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACMAAAAkCAYAAAAD3IPhAAAAxElEQVRYhe2WUQ3DIBBAn4c6wEANoGAKcICDOsBCNUxCxVQDFroPYHQLfGxdel1yL7mEpgl5Oe4OQFGU/8YAo7QEgAW2HE7YhYkqswi7MGSJlYsclXJJDKmLHBBINRMkZTypaEsn3aRkCgtVZhB2IfLFfLE/iHdGalamT2S2gxEbe/rd/5Zsl+Vg3Dt79kRPp2SlJXoq+5vaC7u83NRG2OVZL2v+tsAsJVOyEkgtHhEcemXYrXkt+o5xpKOapUUURVEuwwPb9lEUVsiTiwAAAABJRU5ErkJggg==\" style=\"width: 17.5px; height: 18px;\" width=\"17.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 102px 8px; transform-origin: 102px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e). We say that a gaussian prime \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 40.5px; height: 18px;\" width=\"40.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 44.5px 8px; transform-origin: 44.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, is positive, if \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 38px; height: 18px;\" width=\"38\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 18px 8px; transform-origin: 18px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e  and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 36.5px; height: 18px;\" width=\"36.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 43px; 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 21.5px; text-align: left; transform-origin: 384px 21.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 209px 8px; transform-origin: 209px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eWrite a function that counts the number of elements of set, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 31px; height: 20px;\" width=\"31\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 109px 8px; transform-origin: 109px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eof all positive gaussian primes \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 40.5px; height: 18px;\" width=\"40.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23px 8px; transform-origin: 23px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, such that \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ep\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 17px 8px; transform-origin: 17px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eq\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 33.5px 8px; transform-origin: 33.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e are both \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 25px; height: 18px;\" width=\"25\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv 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; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 53.5px 8px; transform-origin: 53.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example, for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 44px; height: 18px;\" width=\"44\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 240.5px 8px; transform-origin: 240.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the complete set of positive gaussian primes are as follows:                         \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63.5px; 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 31.75px; text-align: left; transform-origin: 384px 31.75px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 24px 8px; transform-origin: 24px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e            \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-26px\"\u003e\u003cimg 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style=\"width: 610px; height: 63.5px;\" width=\"610\" height=\"63.5\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv 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; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 46px 8px; transform-origin: 46px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTherefore, for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 44px; height: 18px;\" width=\"44\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 85px 8px; transform-origin: 85px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e the function should return \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function c = countSGPP(n)\r\n    c = n;\r\nend","test_suite":"%%\r\nn = 10;\r\nc_correct = 35;\r\nassert(isequal(countSGPP(n),c_correct))\r\n%%\r\nns = 20:1:50;\r\ncs = arrayfun(@(n) countSGPP(n),ns);\r\nss = floor([mean(cs) median(cs) mode(cs) std(cs)]);\r\nss_correct = [261 255 103 109];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nn = 100;\r\nc_correct = 1536;\r\nassert(isequal(countSGPP(n),c_correct))\r\n%%\r\nns = 200:10:500;\r\ncs = arrayfun(@(n) countSGPP(n),ns);\r\nss = floor([mean(cs) median(cs) mode(cs) std(cs)]);\r\nss_correct = [15076 14363 5253 6783];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nn = 1234;\r\nc_correct = 144547;\r\nassert(isequal(countSGPP(n),c_correct))\r\n%%\r\nn = 5678;\r\nc_correct = 2490874;\r\nassert(isequal(countSGPP(n),c_correct))\r\n%%\r\nns = 400:400:10000;\r\ncs = arrayfun(@(n) countSGPP(n),ns);\r\nss = floor([mean(cs) median(cs) mode(cs) std(cs)]);\r\nss_correct = [2655106 2112268 18293 2278026];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nn = 12345;\r\nc_correct = 10756553;\r\nassert(isequal(countSGPP(n),c_correct))\r\n%%\r\nfiletext = fileread('countSGPP.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":2,"comments_count":3,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-11-20T16:50:27.000Z","updated_at":"2026-03-19T11:03:41.000Z","published_at":"2021-11-23T10:00:33.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Gaussian_integer#Gaussian_primes\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eGaussian Prime\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e is a gaussian integer that cannot be decomposed as product of two non-unit gaussian integers (the complex units being: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e-1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ei\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e-i\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e). We say that a gaussian prime \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ep+qi\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, is positive, if \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ep\u0026gt;0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e  and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eq\\\\ge0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eWrite a function that counts the number of elements of set, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eS_{GP+}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eof all positive gaussian primes \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ep+qi\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, such that \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ep\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eq\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e are both \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\le n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en=10\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the complete set of positive gaussian primes are as follows:                         \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e            \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eS_{GP+} = \\\\{\\\\ 3,\\\\ 7,\\\\ 1+i,\\\\ 1+2i,\\\\ 1+4i,\\\\ 1+6i,\\\\ 1+10i,\\\\ 2+i,\\\\ 2+3i,\\\\ 2+5i,\\\\ 2+7i,\\\\ 3+2i,\\\\ 3+8i,\\\\\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ 3+10i\\\\ 4+i,\\\\ 4+5i,\\\\ 4+9i,\\\\ 5+2i,\\\\ 5+4i,\\\\ 5+6i,\\\\ 5+8i,\\\\ 6+i,\\\\ 6+5i,\\\\ 7+2i,\\\\ 7+8i,\\\\\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ 7+10i,\\\\ 8+3i,\\\\ 8+5i,\\\\ 8+7i,\\\\ 9+4i,\\\\ 9+10i,\\\\ 10+i,\\\\ 10+3i,\\\\ 10+7i, 10+9i\\\\ \\\\}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTherefore, for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en=10\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e the function should return \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e35\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":53109,"title":"Easy Sequences 52: Non-squarable Rectangles ","description":"Any integer-sided rectangle can be cut into unit rectangles () and rearranged into sets of smaller rectangles. For example the  rectangle can be broken as follows:\r\n                                                      \r\nWe call an integer rectangle as \"squarable\" if it can be can be broken (i.e. cut into unit rectangles and rearranged) into any number of non-unit squares of equal sizes. For example the  rectangle can be broken into six  squares. Therefore, the  rectangle is squarable.\r\n                                                \r\nInteger rectangles that are not squarable are called \"non-squarable\". The  rectangle, shown in the first example above, is a non-squarable rectangle. The complete set of non-squarable rectangles with area  square units are as follows:\r\n\r\nCreate a program that calculates the total area of all non-squarable integer rectangles whose areas are less than or equal to a given area limit . \r\nFor , the program should output:\r\n        \r\nNOTE: Reflections and rotations are not significant and should be counted only once.","description_html":"\u003cdiv 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; \"\u003e\u003cdiv style=\"block-size: 544px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 272px; transform-origin: 407px 272px; vertical-align: baseline; \"\u003e\u003cdiv 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; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 188.5px 8px; transform-origin: 188.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAny integer-sided rectangle can be cut into unit rectangles (\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEUAAAAkCAYAAADfJffWAAABK0lEQVRoge2YUQ2DMBBAnwcc1AA+UFAHc1AHWEDDJMzDLEzDLGwfhaxkhNBysN5yL2n4uvZ4NL0rYBiGYRi144Dm10nsoJWczAED8JKe+CQ88ACuEpM1fGRMQ5OUjihjyn23lA4I4/OOPik9cBmHmJSUgD4pKdVKaYEncefl4Mc4V7guVCwlPZu2ivFJTF+4LlQsBfLESAmByqXANjGSQkCBFFgXIy0ElEiBZTFHCAFFUmAupucYIaBMCnx3zNJCQKGUtOPMKdc5qJKSniHpHUVajBopS4dqSYO3BRVS1qrMEWKql7Kl7EqLqVpKTh8iKUZcimN+CIbCeUoaMwkx6Qd9sO+2jSMmf1sYA7GU5jC9YG4fUhrniTtjKf9ARf+F/MlxhmEYhmEYf8Ub9AbIMJOfOosAAAAASUVORK5CYII=\" style=\"width: 34.5px; height: 18px;\" width=\"34.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 167px 8px; transform-origin: 167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e) and rearranged into sets of smaller rectangles. For example the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 34.5px; height: 18px;\" width=\"34.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 113.5px 8px; transform-origin: 113.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e rectangle can be broken as follows:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 80.5px; 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 40.25px; text-align: left; transform-origin: 384px 40.25px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 108px 8px; transform-origin: 108px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e                                                      \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 246px;height: 75px\" 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\" data-image-state=\"image-loaded\" width=\"246\" height=\"75\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 375.5px 8px; transform-origin: 375.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWe call an integer rectangle as \"squarable\" if it can be can be broken (i.e. cut into unit rectangles and rearranged) into any number of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 98.5px 8px; transform-origin: 98.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"text-decoration: underline; text-decoration-line: underline; \"\u003enon-unit squares of equal sizes\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 57px 8px; transform-origin: 57px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. For example the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 34.5px; height: 18px;\" width=\"34.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 104.5px 8px; transform-origin: 104.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e rectangle can be broken into six \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 34.5px; height: 18px;\" width=\"34.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 31.5px 8px; transform-origin: 31.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e squares. Therefore, the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 34.5px; height: 18px;\" width=\"34.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 74px 8px; transform-origin: 74px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e rectangle is squarable.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 88.5px; 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 44.25px; text-align: left; transform-origin: 384px 44.25px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 96px 8px; transform-origin: 96px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e                                                \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 293px;height: 83px\" 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\" data-image-state=\"image-loaded\" width=\"293\" height=\"83\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 233.5px 8px; transform-origin: 233.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eInteger rectangles that are not squarable are called \"non-squarable\". The \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEUAAAAkCAYAAADfJffWAAAB5ElEQVRoge2YXbGDMBCFjwccYKAGUICCOsABDrBQDZUQD1ioBizQh2SHBQKX3SRt78x+M3npNJvNYf8AMAzDMIxf5QagAVB/2xEhFbzfsdUCGDQGHwAmADNbr2D0P9Bj7ft2ie5RARjhBRmC8WeKwS9QYf9A+XJSgw4+SqrN7zd2kNjoh+nho3p7BxUNfFQc8YAXZcpxWEEoyrPQ4rygUp6OQrsUZa1w3z3skxT5O7yPXTi3OBQpnXLfjOvC0OVmyJ76C+v6MYXziwhExctBl6sSYbSC8H2xFauVaqgjPRONXhFGKwhRw9fGDvuuSU0iSZgKS15zoymD3JkwqYLEqLEXp9cao07ksFdbWvy2xIQpIQiH25+QKY22EXPWuq/AhRlQVhCCn5NtAK2xCJNDbS5MaUEA7z+dJe2gp3C1U9tch7Uo0jlGw4gCojTIIwrPcT5blBaGauQ9p1ESJWXUjxVVzYCngSIl66cQupA2/8+6TGlhqKZIX1P+xMGHuyZ1rrTdFGHog9gRZFvUeaiIHn1MIqOapyiZQzTC8KIde2h0vnhw27ZIF4z0WMb8UhFy5ssVYXgD4O86PZboVqVkBa+4Y2sIv+WYYKV1SLqvDv/l/vfI3GlyonXsZy9kGIZhGIbxSd6E5u1h97/IRwAAAABJRU5ErkJggg==\" style=\"width: 34.5px; height: 18px;\" width=\"34.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 118.5px 8px; transform-origin: 118.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e rectangle, shown in the first example above, is a non-squarable rectangle. The complete set of non-squarable rectangles with area \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 32.5px; height: 18px;\" width=\"32.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 65px 8px; transform-origin: 65px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e square units are as follows:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv 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; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 774px; height: 18.5px;\" width=\"774\" height=\"18.5\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv 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; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 380px 8px; transform-origin: 380px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eCreate a program that calculates the total area of all non-squarable integer rectangles whose areas are less than or equal to a given area limit \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eA\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv 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; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 13px 8px; transform-origin: 13px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 47.5px; height: 18px;\" width=\"47.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 89.5px 8px; transform-origin: 89.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the program should output:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv 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; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 16px 8px; transform-origin: 16px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e        \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 668px; height: 18px;\" width=\"668\" height=\"18\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv 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; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21px 8px; transform-origin: 21px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eNOTE:\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 247.5px 8px; transform-origin: 247.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e Reflections and rotations are not significant and should be counted only once.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function TA = nonSquarables(A)\r\n    TA = 8 * A + 8;\r\nend","test_suite":"%%\r\nA = 20;\r\nTA_correct = 168;\r\nassert(isequal(nonSquarables(A),TA_correct))\r\n%%\r\nA = 200;\r\nTA_correct = 24732;\r\nassert(isequal(nonSquarables(A),TA_correct))\r\n%%\r\nA = 2000;\r\nTA_correct = 3128803;\r\nassert(isequal(nonSquarables(A),TA_correct))\r\n%%\r\nA = 20000;\r\nTA_correct = 382868578;\r\nassert(isequal(nonSquarables(A),TA_correct))\r\n%%\r\nA = 200000;\r\nTA_correct = 44889840284;\r\nassert(isequal(nonSquarables(A),TA_correct))\r\n%%\r\nA = 2000000;\r\nTA_correct = 5150630032283;\r\nassert(isequal(nonSquarables(A),TA_correct))\r\n%%\r\nAs = 1000000:100000:5000000;\r\nTAs = arrayfun(@(A) nonSquarables(A),As);\r\nss = floor([TAs(1) TAs(end) sum(TAs) median(TAs) std(TAs)]);\r\nss_correct = [1237846589396 33831082399137 567489801806465 11849294784960 9910963238214];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nfiletext = fileread('nonSquarables.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-11-23T12:36:30.000Z","updated_at":"2026-03-19T11:13:38.000Z","published_at":"2021-11-23T18:56:00.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAny integer-sided rectangle can be cut into unit rectangles (\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e1\\\\times1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e) and rearranged into sets of smaller rectangles. For example the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e3\\\\times5\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e rectangle can be broken as follows:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                                                      \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"75\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"246\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWe call an integer rectangle as \\\"squarable\\\" if it can be can be broken (i.e. cut into unit rectangles and rearranged) into any number of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003enon-unit squares of equal sizes\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. For example the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e4\\\\times6\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e rectangle can be broken into six \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e2\\\\times2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e squares. Therefore, the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e4\\\\times6\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e rectangle is squarable.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                                                \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"83\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"293\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eInteger rectangles that are not squarable are called \\\"non-squarable\\\". The \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e3\\\\times5\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e rectangle, shown in the first example above, is a non-squarable rectangle. The complete set of non-squarable rectangles with area \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\le20\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e square units are as follows:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\{ 1\\\\times1,\\\\ 1\\\\times2,\\\\ 1\\\\times3,\\\\ 1\\\\times5,\\\\ 1\\\\times6,\\\\ 1\\\\times7,\\\\ 1\\\\times10,\\\\ 1\\\\times11,\\\\ 1\\\\times13,\\\\ 1\\\\times14,\\\\ 1\\\\times15,\\\\ 1\\\\times17,\\\\ 1\\\\times19,\\\\ 2\\\\times3,\\\\ 2\\\\times5,\\\\ 2\\\\times7,\\\\ 3\\\\times5\\\\}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCreate a program that calculates the total area of all non-squarable integer rectangles whose areas are less than or equal to a given area limit \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003eFor \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA=20\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the program should output:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e        \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eTotal\\\\ Area = 1+2+3+5+6+7+10+11+13+14+15+17+19+6+10+14+15=168\\\\ sq.\\\\ units.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eNOTE:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e Reflections and rotations are not significant and should be counted only 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Sequences 53: Greatest Proper Divisor","description":"The greatest proper divisor () of an integer  is the largest integer , such that  and . Furthermore, we define: . \r\nBelow is the set of 's of numbers from  to :\r\n                                .\r\nGiven an integer , create a function that outputs the sum of 's of all integers from  to , inclusive. For , your function should return, .\r\nTIP: Good algorithms for finding GPD's for numbers  to , can be found in Rosetta Code.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440000534057617px; 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: normal; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 183px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; vertical-align: baseline; \"\u003e\u003cdiv 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; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eThe greatest proper divisor (\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"34\" height=\"18\" style=\"width: 34px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e) of an integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);\"\u003ex\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e is the largest integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);\"\u003ey\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e, such that \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"37\" height=\"19\" style=\"width: 37px; height: 19px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"36.5\" height=\"18\" style=\"width: 36.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e. Furthermore, we define: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"79\" height=\"19\" style=\"width: 79px; height: 19px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv 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; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eBelow is the set of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"34\" height=\"18\" style=\"width: 34px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e's of numbers from \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: normal; font-weight: normal; color: rgb(0, 0, 0);\"\u003e1\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"18\" height=\"18\" style=\"width: 18px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv 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; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e                                \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg 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\" width=\"486\" height=\"19\" style=\"width: 486px; height: 19px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv 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; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eGiven an integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e, create a function that outputs the sum of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"34\" height=\"18\" style=\"width: 34px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e's of all integers from \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: normal; font-weight: normal; color: rgb(0, 0, 0);\"\u003e1\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e, inclusive\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e For \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"44\" height=\"18\" style=\"width: 44px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e, your function should return, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADMAAAAkCAYAAAAkcgIJAAAAAXNSR0IArs4c6QAAAERlWElmTU0AKgAAAAgAAYdpAAQAAAABAAAAGgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAAAM6ADAAQAAAABAAAAJAAAAAAdzQbKAAADOElEQVRYCe2XOWhVQRSGnxtqwCWIIolKChVxbQSNK4ogtqKVlZVWYmlnFyy0EG1EtHIDtypikUYFEbGIJihqlBDEDRU3EHe/P8w8jpOZeyfy0sj94X9z5ixz75w5d2ZerVahykCVgSoD/0MGRg1jEm347oEd8A0sg8beDNthC+yBV+EjmMIiDE0pY6B/S/9poCvtzsbjGPwGf8O5sAwzcOiG8n8NL8B3rn+TdioMoZivUDE5PBkOUNRvxXgUhg8om0wzMXehXqgLjoPCeHgDSn8bToEW++jkTML77LDBkovK7CL2+1BloSyMhcI82DcoxX+uoV4Hv8Al8An0mI+giU6Al+FWKIyGGnMmPA7vQSUxxBoUu6CqRCv5AQ4bvUT4jBStzHLjdzrxlDPO5ydtm/PZQvsDbnL9VHMYg96jM+agjOTgc44TPjuN33UjW9Hr9ezdztBCux92uX6sURVtcwZVzT/jFpFlK6Nvw3/k8l2QeNpCM5Y2h1ysxlHjfofTYkG5KxOLDXXa9Zqd8hftw9DB9R/Qyi5Mh9EXG7T+/bPddfVNalsegkZOptWM/hFZWYxB+k/GMMfIKTGrxBo5GdW9x3svJFprz5lMO+MoWVpR7YJRNHIy2lY9yrZMuzLaYsvgS0wH7suUcyMno3PFQ2VRBH9myWdMkSO2rBLTGI2czCvzUuHpbkyD4kSjsHFGXRdXIs1yvUt1bUQYqcnE7l728db+whoisi+xO9gGIva6qpGTeVYftVabjJwaW3rZPZ57IdJml1gkNqnKOTQV3AO19YrLYAxLUXqfvpiD0anEvK/uhIVIZa8wqMB43tjWG9mKG0wndX/zLr7ElKTHXplqcydTtjv58e1k7Et7u9qNpnPKyKE4IiWmh/RDv9yLpSjAEWzy1a14ReC3yullPxHYwq5ic58Zxkb7OgP2mkE1+CGoS2UKirkC5av/Q77W9V9G9zXpO6E9a+gOwUE08k3d8YYEFCkOYNTVXwOG1AnfC1OYhOEc1Ooott+16p+FTbAM/TgotqPM0dtzvwXvP9xW9y7tarq36TzphgMwB2udk1Y3ekvOGaTyqTJQZaDKQJWBKgONysAfut+7vNxFWNMAAAAASUVORK5CYII=\" width=\"25.5\" height=\"18\" style=\"width: 25.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv 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; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eTIP\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e: Good algorithms for finding GPD's for numbers \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: normal; font-weight: normal; color: rgb(0, 0, 0);\"\u003e1\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"25.5\" height=\"18\" style=\"width: 25.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e, can be found in \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://rosettacode.org/wiki/Largest_proper_divisor_of_n\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eRosetta Code\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"the function s = sumGPDs(n)\r\n    y = x;\r\nend","test_suite":"%%\r\nn = 25;\r\ns_correct = 107;\r\nassert(isequal(sumGPDs(n),s_correct))\r\n%%\r\nn = 100;\r\ns_correct = 1691;\r\nassert(isequal(sumGPDs(n),s_correct))\r\n%%\r\nn = 10000;\r\ns_correct = 16507016;\r\nassert(isequal(sumGPDs(n),s_correct))\r\n%%\r\nn = 10000000;\r\ns = arrayfun(@(i) sumGPDs(i),1000000:100000:n);\r\nss = floor([mean(s) median(s) mode(s) std(s)]);\r\nss_correct = [6131600733080 4992760161090 165051503014 4903597092814];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nn = 87654321;\r\ns_correct = 1268119158203109;\r\nassert(isequal(sumGPDs(n),s_correct))\r\n%%\r\nn = 100000000;\r\ns = arrayfun(@(i) sumGPDs(i),10000000:10000000:n);\r\nss = floor([mean(s) median(s) mode(s) std(s)]);\r\nss_correct = [635439507299878 503400239949103 16504975497498 564032070925422];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nn = 123456789;\r\ns_correct = 2515609811020846;\r\nassert(isequal(sumGPDs(n),s_correct))\r\n%%\r\nfiletext = fileread('sumGPDs.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":3,"comments_count":1,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-11-25T04:32:21.000Z","updated_at":"2026-03-19T13:00:12.000Z","published_at":"2021-11-26T07:30:59.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe greatest proper divisor (\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eGPD\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e) of an integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the largest integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, such that \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey\\\\ |\\\\ x\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey \u0026lt;x\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Furthermore, we define: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eGPD(1)= 1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eBelow is the set of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eGPD\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e's of numbers from \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e25\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                                \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\{1,\\\\ 1,\\\\ 1,\\\\ 2,\\\\ 1,\\\\ 3,\\\\ 1,\\\\ 4,\\\\ 3,\\\\ 5,\\\\ 1,\\\\ 6,\\\\ 1,\\\\ 7,\\\\ 5,\\\\ 8,\\\\ 1,\\\\ 9,\\\\ 1,\\\\ 10,\\\\ 7,\\\\ 11,\\\\ 1,\\\\ 12,\\\\ 5\\\\}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eGiven an integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, create a function that outputs the sum of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eGPD\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e's of all integers from \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, inclusive\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e For \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en=25\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, your function should return, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e107\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTIP\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e: Good algorithms for finding GPD's for numbers \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e100\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, can be found in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://rosettacode.org/wiki/Largest_proper_divisor_of_n\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eRosetta Code\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":53125,"title":"Easy Sequences 54: Product of Products of Proper Divisors","description":"A divisor of a number that is less than the number is called a \"proper divisor\". \r\nFor a given positive integer , we are asked to evaluate the following summation:\r\n             \r\nThis is equivalent to finding the product of the products of proper divisors of all integers from  to .\r\nFor example for , we have:\r\n                            \r\nPlease present your output modulo .","description_html":"\u003cdiv 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; \"\u003e\u003cdiv style=\"block-size: 413.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 206.75px; transform-origin: 407px 206.75px; vertical-align: baseline; \"\u003e\u003cdiv 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; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 244.5px 8px; transform-origin: 244.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA divisor of a number that is less than the number is called a \"proper divisor\". \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv 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; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4.5px 8px; transform-origin: 4.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eF\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 95.5px 8px; transform-origin: 95.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eor a given positive integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 162px 8px; transform-origin: 162px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, we are asked to evaluate the following summation:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 45.5px; 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 22.75px; text-align: left; transform-origin: 384px 22.75px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 24px 8px; transform-origin: 24px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e            \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-17px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANwAAABbCAYAAAAY7+vhAAAIVElEQVR4nO2d65HiMBCEOwcyIAES2AiIgAzIgAxIwTEQAjmQAjGQwt0PucuDkb3Yetjj7a/KdXXeXVmW1HrMjGRACCGEEEIIIYQQQgghhBBCCCGEEEKI2pwANADuAB7tvQuAV3vtF8qXEJvlAuBf++8VQYTX9t5pwXwJsUluCOK6ATi395r23s9SmRJiq7zQCY4822u3SI6E2Cg/CGJ7ATi09/b4FKAQIgNcvzXm3qm9d47+hRBiNncEcR3MPa7f9pDRRIis/MPnWu3V3jshjIBCiAwcEQR37d1/DNwXQgghhBBCCCGEcMcOwYm9hsu6GLbKAcuXMy9FAy0AI0bWcN0Lv+saoP9yDZfiXRdgj+Azu6ALRo5djfm9OddQuk8EN8IFf8NZTh/lFeHdh8okpazHRH0zv6ctVCvggC4oOWdvGKt8Oce76JycI32sg3tCAlst3NNWUnDPxPSmstbp0w51BPcXZg85WKSdxCost+Bqrdd2CBEwj99+cUFqCG6tHc6aYFtpfvvF3GxFcFZsa7bISXDrYRHRbUVwN4T16JrFBkhwa4N2jGqi24LguA710NAkuPXBAP0qa1/vgqNv0cuuBQlunVzxfqJBMTwLbgd/56pIcOtkhyC44gY3z4Jj3j2ZwSW4NBieeEX+0ajKsSFeBcdDjGr7+FKR4OZxQrfpuWS9P1HY+OZVcIza8DS6ARJcKnzHUlZFjnLFIqM8Co4RG6/M6dZAgpuPjdQp2dHyCP8io5xHwTHPXiyTFgluPjTf/0NZI1nRI/w9Co6R9x731Elw8+EyorQl8VDyOd4Ex8LwZiwhEtx82NHWmNnwWdl3XXgTHId7j9NJQIKbwh7hXfboOtpa78fRNLuLwJvgaBo+ZkyzJhLc75wQRpgHwvs98b6XsFYeSiyHXAmOvrfSi+aSSHDDMHq/b7CwxpJaW71sW8uKJ8Gx4L2u3wAJbgh7+kB/GmfP4qn58RjmJ2t5ehIc8+r5E1kS3Cd2ZIs5tO0IV9MyzfNisorck+BYAJ7PR5HgPuH6bMjZTENZ7ZlNEQOdJ8HRVOstnMsiwb3zzXRxbPQrCcs267rRk+A8Nqg+Etw71voY83lZd0DtjraIzcCL4GwcnacG1UeCe4d5HorqsIKsbZm2o282vAiuyMsvgATXYUev2DrJ1vkSJ7FJcJDg+ngWnK3TvuC4m7//8zPquQasLy6bdVSCq4sE12GXCfZ4w0P7f3tI8RHdJtSaZC9TCa4uEtw7do32ROf6OeG9zhnqVXsdJ8FlSGtJJLhPzgjlcEcY1ay1skEIdFjKFSTBZUhrSSQ4X0hwGdJaEgnOFxJchrSWRILzQxHfrwRXFwnOD7bNZTPWeBHcFvbCARKcJ/6049um67lBSXB++POCK7IhsDISnB+K7BaIfZQ9ZRuE7RXsleP0oyIbAitSomxy15/oyLrh+dAmFGsArLQp8WM7BOckR6H+9Wx/nrL+8npiV4myyV1/4pPkDc9DPew312+ZmnrNGabPCX+7BHPLZqiCU+pP08zpMHh69glxB3QhNFOvIa4z05szSnE7h5dvCswtm6EwppT602g3DeuD82wVT4bTsuwn4s7A8+lhYhzu9l5iH96q4LplDeeaSHDbxau9IDs8EXcNljgJbrvw4KLVr30veP9SZYO8c+Da34bjJ25PCL2dfZfSgjui2yP2RPnjAXmW/7nCs9ZM8a/r8oPiqY2Ye5fs7lyKI6fouGmxxvcF9uiso/35/FiF0Icz12e4Ryg3TmlYRyXf+YCubHNNpWip9WS0YX0Xm06yMh+Yb4ygBc0Ky55LkdNZTfN4rWkln9evgJKCY6Vbgc217k6B+c4l7DtC21r91MxQ7FNVObkgXkmlFp/sOWsUylAjLDml5DNpHGKnWDrKhgKZWq4/2MY0lJ2r2+P0U3v6IVgwNSr5gSCufiMsKTiapW8IYruh/JkeXB9PCSz4Qdf5uW2kBr5LkRF5hyAEOmhLPIRrghJzePbGuRsh1zJXjAewxgTHnv6GtCmvdby+2jR3CEK8tfnJcdbHESGffN9vOzErtDs+R/9Tm84dfmJf2YkXj2Ripe7N/6dcYw2eH9MrASNPcqZ/RcgzG9BYPN3QCEeRpkyjz+ic/P2Rg+mndJA7fEahfBMGdsS40Cz8PS8fz6yyTIl9QPxn4jUkuBPiU7GcsFfOMYI2+LQEjlnZhgRH5/zchtYg1Ad9jv3nc0SaCz8P9eilS1N4rD5Zl98IjdDyvWrjQwvLuvgShdaw3A+ihbKGdYqNJ2VqyXLoN+QnhhvhkOBemN/RXPHeSCl4dogs15RGHIvWoe+pP5paoTX4vj7ZkXsINLdW+uKw8HML44F6Uwn6rFJ6/VhvzEYzZAyICS6lobHR2/ew5+9zbZiyJorNaICuw4l9fZRt5IXv14ylOvISlLIFRIlNI1LXcA3qL5S54J1jRKBFsC8SGnyG0owJLsUqO+Rw5X3mMceewr4QfvM97fH+4cTfytmLw5sziir5tD6HvXloyhqO1q7Ys0qLkJs8p4qOIrEji917tkd8tI4Jzja0qSP8mEXU7q3rN44pjYXp2DLic/k+Y/n+Vni2I1+r0YTtpVqnYHvjW4YHs7egOZ0XLX81Fs+MeJkCF8y2wd3NPZq4+8QEZ/9mqpWyP33kPRpRmt7POd2b0qCZBjsXG/vKzvKb9MaEZyOBmon5qwWttFVHYLvnJ7VQrEUtdq3dKWrXKQ1Cg6LDe2hkjgmOjbcf6PwtR7wHf3NDKtOyMaq0ZE6B78WO4YLQ6F743vrYT+9i/p73uCb24oMTDtD2nA6e2yJEMSQ4ISoiwQkhhBBCCCGEEEIIMcZ/2dB5TrErrWQAAAAASUVORK5CYII=\" style=\"width: 110px; height: 45.5px;\" width=\"110\" height=\"45.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv 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; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 88px 8px; transform-origin: 88px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThis is equivalent to finding \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 233px 8px; transform-origin: 233px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003ethe product of the products of proper divisors of all integers from \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e2\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 11px 8px; transform-origin: 11px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv 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; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 51.5px 8px; transform-origin: 51.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 44px; height: 18px;\" width=\"44\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 32px 8px; transform-origin: 32px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, we have:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 209px; 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 104.5px; text-align: left; transform-origin: 384px 104.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 56px 8px; transform-origin: 56px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e                            \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-99px\"\u003e\u003cimg 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style=\"width: 509px; height: 209px;\" width=\"509\" height=\"209\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv 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; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 112.5px 8px; transform-origin: 112.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ePlease present your output modulo \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 55.5px; height: 18px;\" width=\"55.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function s = pppd(n)\r\n    s = 2 * (n + 2) ^ 2 * n;\r\nend","test_suite":"%%\r\nn = 10;\r\ns_correct = 2880;\r\nassert(isequal(pppd(n),s_correct))\r\n%%\r\nn = 20;\r\ns_correct = 178754;\r\nassert(isequal(pppd(n),s_correct))\r\n%%\r\nn = 100;\r\ns_correct = 651627;\r\nassert(isequal(pppd(n),s_correct))\r\n%%\r\nn = 200;\r\ns_correct = 471492;\r\nassert(isequal(pppd(n),s_correct))\r\n%%\r\nn = 1000;\r\ns_correct = 132068;\r\nassert(isequal(pppd(n),s_correct))\r\n%%\r\nn = 2000;\r\ns_correct = 192916;\r\nassert(isequal(pppd(n),s_correct))\r\n%%\r\nn = 10000;\r\ns_correct = 700691;\r\nassert(isequal(pppd(n),s_correct))\r\n%%\r\nn = 20000;\r\ns_correct = 135567;\r\nassert(isequal(pppd(n),s_correct))\r\n%%\r\nn = 100000;\r\ns_correct = 919193;\r\nassert(isequal(pppd(n),s_correct))\r\n%%\r\nn = 200000;\r\ns_correct = 581218;\r\nassert(isequal(pppd(n),s_correct))\r\n%%\r\nn = 1000000;\r\ns_correct = 811966;\r\nassert(isequal(pppd(n),s_correct))\r\n%%\r\nns = 2000000:2222222;\r\ns = arrayfun(@(n) pppd(n),ns);\r\nss = mod([sum(s) sum(num2str(s))],1000003);\r\nss_correct = [526924 445038];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nfiletext = fileread('pppd.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":1,"comments_count":3,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-12-04T15:11:17.000Z","updated_at":"2026-03-19T13:19:46.000Z","published_at":"2021-12-06T15:33:23.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA divisor of a number that is less than the number is called a \\\"proper divisor\\\". \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eF\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eor a given positive integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, we are asked to evaluate the following summation:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e            \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\prod_{i=2}^{n}\\\\left (\\\\prod_{\\\\ d|i\\\\ \\\\\u0026amp;\\\\  d\u0026lt;i}^{}d\\\\   \\\\right )\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThis is equivalent to finding \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ethe product of the products of proper divisors of all integers from \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en = 10\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, we have:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                            \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\prod_{i=2}^{10}\\\\prod_{d|i\\\\ \\\\\u0026amp;\\\\  d\u0026lt;i}^{}d\\\\ = \\\\prod_{d|2\\\\ \\\\\u0026amp;\\\\  d\u0026lt;2}^{}d \\\\ \\\\times\\\\prod_{d|3\\\\ \\\\\u0026amp;\\\\  d\u0026lt;3}^{}d \\\\ \\\\times\\\\prod_{d|4\\\\ \\\\\u0026amp;\\\\  d\u0026lt;4}^{}d  \\\\ \\\\times\\\\prod_{d|5\\\\ \\\\\u0026amp;\\\\  d\u0026lt;5}^{}d\\\\ \\\\times\\\\prod_{d|6\\\\ \\\\\u0026amp;\\\\  d\u0026lt;6}^{}d \\\\ \\\\\\\\\\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\times\\\\prod_{d|7\\\\ \\\\\u0026amp;\\\\  d\u0026lt;7}^{}d \\\\ \\\\times\\\\prod_{d|8\\\\ \\\\\u0026amp;\\\\  d\u0026lt;8}^{}d \\\\ \\\\times\\\\prod_{d|9\\\\ \\\\\u0026amp;\\\\  d\u0026lt;9}^{}d \\\\ \\\\times\\\\prod_{d|10\\\\ \\\\\u0026amp;\\\\  d\u0026lt;10}^{}d \\\\\\\\ \\\\\\\\\\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ =1\\\\times1\\\\times(1\\\\cdot2)\\\\times1\\\\times(1\\\\cdot2\\\\cdot3)\\\\times1\\\\times(1\\\\cdot2\\\\cdot4)\\\\times(1\\\\cdot3)\\\\times(1\\\\cdot2\\\\cdot5) \\\\\\\\ \\\\\\\\\\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ =1\\\\times1\\\\times2\\\\times1\\\\times6\\\\times1\\\\times8\\\\times3\\\\times10 \\\\\\\\ \\\\\\\\\\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ =2880\\n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ePlease present your output modulo \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e1000003\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":53130,"title":"Easy Sequences 55: \"Ugly\" Rectangles?","description":"A positive integer  is called a regular number, if and only if there exist a non-negative integer , such that .  For some reason, such a number is also refered to as an ugly number. Below are the first few regular numbers:\r\n                            \r\nWe say that an integer-sided rectangle is a \"regular\" rectangle if its area is a regular number. In the figure below, the red-colored rectanges are regular, while the blue ones are not.\r\n                                                                    \r\nAll  regular rectangles whose areas are less than equal to  are listed below:\r\n                                    \r\nAnd their total area is:\r\n                                \r\nFor a given area limit , find the total area of all regular rectangles with areas less than equal .","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 541.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 468.5px 270.75px; transform-origin: 468.5px 270.75px; vertical-align: baseline; \"\u003e\u003cdiv 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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 21px; text-align: left; transform-origin: 444.5px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA positive integer\u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Regular_number\"\u003e\u003cspan style=\"border-block-end-color: rgb(0, 91, 130); border-block-start-color: rgb(0, 91, 130); border-bottom-color: rgb(0, 91, 130); border-inline-end-color: rgb(0, 91, 130); border-inline-start-color: rgb(0, 91, 130); border-left-color: rgb(0, 91, 130); border-right-color: rgb(0, 91, 130); border-top-color: rgb(0, 91, 130); caret-color: rgb(0, 91, 130); color: rgb(0, 91, 130); column-rule-color: rgb(0, 91, 130); outline-color: rgb(0, 91, 130); text-decoration-color: rgb(0, 91, 130); text-emphasis-color: rgb(0, 91, 130); \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"font-family: STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(33, 33, 33);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is called a \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Regular_number\"\u003e\u003cspan style=\"border-block-end-color: rgb(0, 91, 130); border-block-start-color: rgb(0, 91, 130); border-bottom-color: rgb(0, 91, 130); border-inline-end-color: rgb(0, 91, 130); border-inline-start-color: rgb(0, 91, 130); border-left-color: rgb(0, 91, 130); border-right-color: rgb(0, 91, 130); border-top-color: rgb(0, 91, 130); caret-color: rgb(0, 91, 130); color: rgb(0, 91, 130); column-rule-color: rgb(0, 91, 130); outline-color: rgb(0, 91, 130); text-decoration-color: rgb(0, 91, 130); text-emphasis-color: rgb(0, 91, 130); \"\u003e\u003cspan style=\"\"\u003eregular number, \u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eif and only if there exist a non-negative integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(33, 33, 33);\"\u003ek\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, such that \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"50.5\" height=\"20\" style=\"width: 50.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.  For some reason, such a number is also refered to as an \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Talk%3ARegular_number#%22Ugly%22_numbers?\"\u003e\u003cspan style=\"border-block-end-color: rgb(0, 91, 130); border-block-start-color: rgb(0, 91, 130); border-bottom-color: rgb(0, 91, 130); border-inline-end-color: rgb(0, 91, 130); border-inline-start-color: rgb(0, 91, 130); border-left-color: rgb(0, 91, 130); border-right-color: rgb(0, 91, 130); border-top-color: rgb(0, 91, 130); caret-color: rgb(0, 91, 130); color: rgb(0, 91, 130); column-rule-color: rgb(0, 91, 130); outline-color: rgb(0, 91, 130); text-decoration-color: rgb(0, 91, 130); text-emphasis-color: rgb(0, 91, 130); \"\u003e\u003cspan style=\"\"\u003eugly number\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Below are the first few regular numbers:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv 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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 10.5px; text-align: left; transform-origin: 444.5px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e                            \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg 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\" width=\"515\" height=\"18\" style=\"width: 515px; height: 18px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv 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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 21px; text-align: left; transform-origin: 444.5px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWe say that an integer-sided rectangle is a \"regular\" rectangle if its area is a regular number. In the figure below, the red-colored rectanges are regular, while the blue ones are not.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 195.5px; 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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 97.75px; text-align: left; transform-origin: 444.5px 97.75px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e                                                                    \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" width=\"221\" height=\"190\" style=\"vertical-align: baseline;width: 221px;height: 190px\" 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b24+ODg0PC9leGlmOlBpeGVsWERpbWVuc2lvbj4KICAgICAgICAgPGV4aWY6VXNlckNvbW1lbnQ+U2NyZWVuc2hvdDwvZXhpZjpVc2VyQ29tbWVudD4KICAgICAgPC9yZGY6RGVzY3JpcHRpb24+CiAgIDwvcmRmOlJERj4KPC94OnhtcG1ldGE+Ckd2z7AAAAAcaURPVAAAAAIAAAAAAAABfAAAACgAAAF8AAABfAAATIHtq5H9AABAAElEQVR4AeycPbYlyZKVMxVQnlTFBKBa4EesFnt1S8gwAgTmABoSGswBoUZAy0/qXohVIj9CFUyAQkIB5cJ5nE3bzXXuq4hw8zCznV8r5lkvwsP922Z2Yntk9ue3//t/n/g/CEAAAhCAAAQgAAEIQAACEBhH4DOGbpxmLBgCEIAABCAAAQhAAAIQgMAfCGDoSAQIQAACEIAABCAAAQhAAAJDCWDohgrHsiEAAQhAAAIQgAAEIAABCGDoyAEIQAACEIAABCAAAQhAAAJDCWDohgrHsiEAAQhAAAIQgAAEIAABCGDoyAEIQAACEIAABCAAAQhAAAJDCWDohgrHsiEAAQhAAAIQgAAEIAABCGDoyAEIQAACEIAABCAAAQhAAAJDCWDohgrHsiEAAQhAAAIQgAAEIAABCGDoyAEIQAACEIAABCAAAQhAAAJDCWDohgrHsiEAAQhAAAIQgAAEIAABCGDoyAEIQAACEIAABCAAAQhAAAJDCWDohgrHsiEAAQhAAAIQgAAEIAABCGDoyAEIQAACEIAABCAAAQhAAAJDCWDohgrHsiEAAQhAAAIQgAAEIAABCGDonjnw+fPnT29vb+Mzgn30khA90GMHAfJqB9Xrc6LHdXY77kSPHVSvz4ke19ntuBM9dlCtnxNDFzQgyQOMBkP0aCBCWAJ6BBgNhujRQISwBPQIMBoM0aOBCGEJ6BFgNBiiRwMRkpeAoXsCJbmTM2txOvRYBJh8O3okA12cDj0WASbfjh7JQBenQ49FgMm3o0cy0MXp0GMRYNPbMXRBGJI8wGgwRI8GIoQloEeA0WCIHg1ECEtAjwCjwRA9GogQloAeAUaDIXo0ECF5CRi6J1CSOzmzFqdDj0WAybejRzLQxenQYxFg8u3okQx0cTr0WASYfDt6JANdnA49FgE2vR1DF4QhyQOMBkP0aCBCWAJ6BBgNhujRQISwBPQIMBoM0aOBCGEJ6BFgNBiiRwMRkpeAoXsCJbmTM2txOvRYBJh8O3okA12cDj0WASbfjh7JQBenQ49FgMm3o0cy0MXp0GMRYNPbMXRBGJI8wGgwRI8GIoQloEeA0WCIHg1ECEtAjwCjwRA9GogQloAeAUaDIXo0ECF5CRi6J1CSOzmzFqdDj0WAybejRzLQxenQYxFg8u3okQx0cTr0WASYfDt6JANdnA49FgE2vR1DF4QhyQOMBkP0aCBCWAJ6BBgNhujRQISwBPQIMBoM0aOBCGEJ6BFgNBiiRwMRkpeAoXsCJbmTM2txOvRYBJh8O3okA12cDj0WASbfjh7JQBenQ49FgMm3o0cy0MXp0GMRYNPbMXRBGJI8wGgwRI8GIoQloEeA0WCIHg1ECEtAjwCjwRA9GogQloAeAUaDIXo0ECF5CRi6J1CSOzmzFqdDj0WAybejRzLQxenQYxFg8u3okQx0cTr0WASYfDt6JANdnA49FgE2vR1DF4QhyQOMBkP0aCBCWAJ6BBgNhujRQISwBPQIMBoM0aOBCGEJ6BFgNBiiRwMRkpeAoXsCJbmTM2txOvRYBJh8O3okA12cDj0WASbfjh7JQBenQ49FgMm3o0cy0MXp0GMRYNPbMXRBGJI8wGgwRI8GIoQloEeA0WCIHg1ECEtAjwCjwRA9GogQloAeAUaDIXo0ECF5CRi6J1CSOzmzFqdDj0WAybejRzLQxenQYxFg8u3okQx0cTr0WASYfDt6JANdnA49FgE2vR1DF4QhyQOMBkP0aCBCWAJ6BBgNhujRQISwBPQIMBoM0aOBCGEJ6BFgNBiiRwMRkpeAoXsCJbmTM2txOvRYBJh8O3okA12cDj0WASbfjh7JQBenQ49FgMm3o0cy0MXp0GMRYNPbMXRBGJI8wGgwRI8GIoQloEeA0WCIHg1ECEtAjwCjwRA9GogQloAeAUaDIXo0ECF5CRi6J1CSOzmzFqdDj0WAybejRzLQxenQYxFg8u3okQx0cTr0WASYfDt6JANdnA49FgE2vR1DF4QhyQOMBkP0aCBCWAJ6BBgNhujRQISwBPQIMBoM0aOBCGEJ6BFgNBiiRwMRkpeAoXsCJbmTM2txOvRYBJh8O3okA12cDj0WASbfjh7JQBenQ49FgMm3o0cy0MXp0GMRYNPbMXRBGJI8wGgwRI8GIoQloEeA0WCIHg1ECEtAjwCjwRA9GogQloAeAUaDIXo0ECF5CRi6J1CSOzmzFqdDj0WAybejRzLQxenQYxFg8u3okQx0cTr0WASYfDt6JANdnA49FgE2vR1DF4QhyQOMBkP0aCBCWAJ6BBgNhujRQISwBPQIMBoM0aOBCGEJ6BFgNBiiRwMRkpeAoXsCJbmTM2txOvRYBJh8O3okA12cDj0WASbfjh7JQBenQ49FgMm3o0cy0MXp0GMRYNPbMXRBGJI8wGgwRI8GIoQloEeA0WCIHg1ECEtAjwCjwRA9GogQloAeAUaDIXo0ECF5CRi6J1CSOzmzFqdDj0WAybejRzLQxenQYxFg8u3okQx0cTr0WASYfDt6JANdnA49FgE2vR1DF4QhyQOMBkP0aCBCWAJ6BBgNhujRQISwBPQIMBoM0aOBCGEJ6BFgNBiiRwMRkpeAoXsCJbmTM2txOvRYBJh8O3okA12cDj0WASbfjh7JQBenQ49FgMm3o0cy0MXp0GMRYNPbMXRBGJI8wGgwRI8GIoQloEeA0WCIHg1ECEtAjwCjwRA9GogQloAeAUaDIXo0ECF5CRi6J1CSOzmzFqdDj0WAybejRzLQxenQYxFg8u3okQx0cTr0WASYfDt6JANdnA49FgE2vR1DF4QhyQOMBkP0aCBCWAJ6BBgNhujRQISwBPQIMBoM0aOBCGEJ6BFgNBiiRwMRkpeAoXsCJbmTM2txOvRYBJh8O3okA12cDj0WASbfjh7JQBenQ49FgMm3o0cy0MXp0GMRYNPbMXRBGJI8wGgwRI8GIoQloEeA0WCIHg1ECEtAjwCjwRA9GogQloAeAUaDIXo0ECF5CRi6J1CSOzmzFqdDj0WAybejRzLQxenQYxFg8u3okQx0cTr0WASYfDt6JANdnA49FgE2vR1DF4QhyQOMBkP0aCBCWAJ6BBgNhujRQISwBPQIMBoM0aOBCGEJ6BFgNBiiRwMRkpeAoXsCJbmTM2txOvRYBJh8O3okA12cDj0WASbfjh7JQBenQ49FgMm3o0cy0MXp0GMRYNPbMXRBGJI8wGgwRI8GIoQloEeA0WCIHg1ECEtAjwCjwRA9GogQloAeAUaDIXo0ECF5CRi6J1CSOzmzFqdDj0WAybejRzLQxenQYxFg8u3okQx0cTr0WASYfDt6JANdnA49FgE2vR1DF4QhyQOMBkP0aCBCWAJ6BBgNhujRQISwBPQIMBoM0aOBCGEJ6BFgNBiiRwMRkpeAoXsCJbmTM2txOvRYBJh8O3okA12cDj0WASbfjh7JQBenQ49FgMm3o0cy0MXp0GMRYNPbMXRBGJI8wGgwRI8GIoQloEeA0WCIHg1ECEtAjwCjwRA9GogQloAeAUaDIXo0ECF5CV+9ofsff/onyUiZbgeBb378ece02+Ykr7ahZWIItCcwrV8J6PSXPPqulCRC4OsjMLXvZimFocPQZeXS1nmmFSovFlvTgckh0JrAtH4VYU42dfTdqCRjCHxdBCb33Qyllg2dmv/UyA9ARhrtn+Pbn3759Pb29mlKnpFX+3OCJ0CgK4Fp/WpKX/2tddJ3u1YE64LAfgLT++4qoWVD91jAbzXZzv/7r99/t8qQ+28g8Dh56ZxHX5pN8uqGpOAREGhKYFq/+rJ/Tf0zfbdpQbAsCNxAwKHvrmBKMXQrC6i+lxO9agWOPX/ap3Ty6piuXAUBRwLT+pU00KGZ/jwt0nenKcZ6IZBHYGrfzSKAoePf0GXl0tZ5phUqLxZb04HJIdCawLR+FWFONnX03agkYwh8XQQm990MpTB0Hxi63/3w+wy+t8/xt//R3/vDvzX73//pv93+7IwH/s9/9o9fTjOtUD96sSCvXsp723+cXh8CxT5Eoja69CtRnGzmHnug70rJXpF+hR6ZBNz6bhYbDJ2Zoftb//Dv/uHfmv2v//hfs3Lk1nlcCtXtxWJ6XimJ2YdI9IjT9XDpVzEbJps6+m5Uss94ep2LJPsQidro2HcziGLozAzd9JMwl0J1e7GYnldqluxDJHrE6Xq49Ctlw2Qz99gDfVdK9orT61w02YdI1Ea3vptFE0NnZuimnyC5FKrbi8X0vFLDZB8i0SNO18OlX8VsmGzq6LtRyT7j6XUukuxDJGqjY9/NIIqhMzN000+QXArV7cViel6pWbIPkegRp+vh0q+UDZPN3GMP9F0p2StOr3PRZB8iURvd+m4WTQydmaGbfoLkUqhuLxbT80oNk32IRI84XQ+XfhWzYbKpo+9GJfuMp9e5SLIPkaiNjn03gyiGzszQTT9BcilUtxeL6XmlZsk+RKJHnK6HS79SNkw2c4890HelZK84vc5Fk32IRG1067tZNDF0ZoZu+gmSS6G6vVhMzys1TPYhEj3idD1c+lXMhsmmjr4blewznl7nIsk+RKI2OvbdDKIYOjNDN/0EyaVQ3V4spueVmiX7EIkecboeLv1K2TDZzD32QN+Vkr3i9DoXTfYhErXRre9m0cTQmRm66SdILoXq9mIxPa/UMNmHSPSI0/Vw6VcxGyabOvpuVLLPeHqdiyT7EIna6Nh3M4hi6MwM3fQTJJdCdXuxmJ5XapbsQyR6xOl6uPQrZcNkM/fYA31XSvaK0+tcNNmHSNRGt76bRRNDZ2bopp8guRSq24vF9LxSw2QfItEjTtfDpV/FbJhs6ui7Uck+4+l1LpLsQyRqo2PfzSCKoTMzdNNPkFwK1e3FYnpeqVmyD5HoEafr4dKvlA2TzdxjD/RdKdkrTq9z0WQfIlEb3fpuFk0MnZmhm36C5FKobi8W0/NKDZN9iESPOF0Pl34Vs2GyqaPvRiX7jKfXuUiyD5GojY59N4Mohs7M0E0/QXIpVLcXi+l5pWbJPkSiR5yuh0u/UjZMNnOPPdB3pWSvOL3ORZN9iERtdOu7WTQxdGaGbvoJkkuhur1YTM8rNUz2IRI94nQ9XPpVzIbJpo6+G5XsM55e5yLJPkSiNjr23QyiGDozQzf9BMmlUN1eLKbnlZol+xCJHnG6Hi79Stkw2cw99kDflZK94vQ6F032IRK10a3vZtHE0JkZuuknSC6F6vZiMT2v1DDZh0j0iNP1cOlXMRsmmzr6blSyz3h6nYsk+xCJ2ujYdzOIYujMDN30EySXQnV7sZieV2qW7EMkesTperj0K2XDZDP32AN9V0r2itPrXDTZh0jURre+m0UTQ2dm6KafILkUqtuLxfS8UsNkHyLRI07Xw6VfxWyYbOrou1HJPuPpdS6S7EMkaqNj380giqEzM3TTT5BcCtXtxWJ6XqlZsg+R6BGn6+HSr5QNk83cYw/0XSnZK06vc9FkHyJRG936bhZNDJ2ZoZt+guRSqG4vFtPzSg2TfYhEjzhdD5d+FbNhsqmj70Yl+4yn17lIsg+RqI2OfTeDKIbOzNBNP0FyKVS3F4vpeaVmyT5EokecrodLv1I2TDZzjz3Qd6Vkrzi9zkWTfYhEbXTru1k0MXRmhm76CZJLobq9WEzPKzVM9iESPeJ0PVz6VcyGyaaOvhuV7DOeXuciyT5EojY69t0Mohg6M0M3/QTJpVDdXiym55WaJfsQiR5xuh4u/UrZMNnMPfZA35WSveL0OhdN9iEStdGt72bRxNCZGbrpJ0guher2YjE9r9Qw2YdI9IjT9XDpVzEbJps6+m5Uss94ep2LJPsQidro2HcziGLozAzd9BMkl0J1e7GYnldqluxDJHrE6Xq49Ctlw2Qz99gDfVdK9orT61w02YdI1Ea3vptFE0NnZuimnyC5FKrbi8X0vFLDZB8i0SNO18OlX8VsmGzq6LtRyT7j6XUukuxDJGqjY9/NIIqhMzN000+QXArV7cViel6pWbIPkegRp+vh0q+UDZPN3GMP9F0p2StOr3PRZB8iURvd+m4WTQydmaGbfoLkUqhuLxbT80oNk32IRI84XQ+XfhWzYbKpo+9GJfuMp9e5SLIPkaiNjn03gyiGzszQTT9BcilUtxeL6XmlZsk+RKJHnK6HS79SNkw2c4890HelZK84vc5Fk32IRG1067tZNDF0ZoZu+gmSS6G6vVhMzys1TPYhEj3idD1c+lXMhsmmjr4blewznl7nIsk+RKI2OvbdDKIYOjNDN/0EyaVQ3V4spueVmiX7EIkecboeLv1K2TDZzD32QN+Vkr3i9DoXTfYhErXRre9m0cTQmRm66SdILoXq9mIxPa/UMNmHSPSI0/Vw6VcxGyabOvpuVLLPeHqdiyT7EIna6Nh3M4hi6MwM3fQTJJdCdXuxmJ5XapbsQyR6xOl6uPQrZcNkM/fYA31XSvaK0+tcNNmHSNRGt76bRRNDZ2bopp8guRSq24vF9LxSw2QfItEjTtfDpV/FbJhs6ui7Uck+4+l1LpLsQyRqo2PfzSCKoTMzdNNPkFwK1e3FYnpeqVmyD5HoEafr4dKvlA2TzdxjD/RdKdkrTq9z0WQfIlEb3fpuFk0MnZmhm36C5FKobi8W0/NKDZN9iESPOF0Pl34Vs2GyqaPvRiX7jKfXuUiyD5GojY59N4Mohs7M0E0/QXIpVLcXi+l5pWbJPkSiR5yuh0u/UjZMNnOPPdB3pWSvOL3ORZN9iERtdOu7WTQxdGaGbvoJkkuhur1YTM8rNUz2IRI94nQ9XPpVzIbJpo6+G5XsM55e5yLJPkSiNjr23QyiGDozQzf9BMmlUN1eLKbnlZol+xCJHnG6Hi79Stkw2cw99kDflZK94vQ6F032IRK10a3vZtHE0JkZuuknSC6F6vZiMT2v1DDZh0j0iNP1cOlXMRsmmzr6blSyz3h6nYsk+xCJ2ujYdzOILhs6Nf+p8aMfgG9/+uXT29vbp6n7mrpuFz1c9jE1j1j3Z/rXDf2bOu+VZ+jRSw/6MHrseI92rfNVU7ds6B4LmFy0v37/3UuG3/z48+h97SiiO3R20cNlH1PziHVzGEW/+vpeJum71P0ddc/vS22eOdf5S0Ny8D+mGLqDz2p52UdO/3c//L7len9rUdP/jrfLp3Ty6rcyteZ/n14fosY+RKI2uvQrUdTLsP48LdJ3eypGv+qly3Q93PpuVnZg6Pg3dFm5lDKPS6G6vVjwbwdS0jttEvRIQ7k0kUu/ihAmmzr6blSyz5h+1UeLx0qm6+HYdzMyBENnZug4eckoi/U53F4spueVFGUfItEjTtfD7cVispl7ZDR9t0ddf7mK6XWu/bAPkaiNbn03iyaGzszQcfKSVRpr87i9WEzPK6nJPkSiR5yuh+OLxWRTR9/tUddfrmJ6nWs/7EMkaqNj380giqEzM3TTT5BcCtXtxWJ6XqlZsg+R6BGn6+HSr5QNk83cYw/0XSnZK06vc9FkHyJRG936bhZNDJ2ZoZt+guRSqG4vFtPzSg2TfYhEjzhdD5d+FbNhsqmj70Yl+4yn17lIsg+RqI2OfTeDKIbOzNBNP0FyKVS3F4vpeaVmyT5EokecrodLv1I2TDZzjz3Qd6Vkrzi9zkWTfYhEbXTru1k0MXRmhm76CZJLobq9WEzPKzVM9iESPeJ0PVz6VcyGyaaOvhuV7DOeXuciyT5EojY69t0Mohg6M0M3/QTJpVDdXiym55WaJfsQiR5xuh4u/UrZMNnMPfZA35WSveL0OhdN9iEStdGt72bRxNCZGbrpJ0guher2YjE9r9Qw2YdI9IjT9XDpVzEbJps6+m5Uss94ep2LJPsQidro2HcziGLozAzd9BMkl0J1e7GYnldqluxDJHrE6Xq49Ctlw2Qz99gDfVdK9orT61w02YdI1Ea3vptFE0NnZuimnyC5FKrbi8X0vFLDZB8i0SNO18OlX8VsmGzq6LtRyT7j6XUukuxDJGqjY9/NIIqhMzN000+QXArV7cViel6pWbIPkegRp+vh0q+UDZPN3GMP9F0p2StOr3PRZB8iURvd+m4WTQydmaGbfoLkUqhuLxbT80oNk32IRI84XQ+XfhWzYbKpo+9GJfuMp9e5SLIPkaiNjn03gyiGzszQTT9BcilUtxeL6XmlZsk+RKJHnK6HS79SNkw2c4890HelZK84vc5Fk32IRG1067tZNDF0ZoZu+gmSS6G6vVhMzys1TPYhEj3idD1c+lXMhsmmjr4blewznl7nIsk+RKI2OvbdDKIYOjNDN/0EyaVQ3V4spueVmiX7EIkecboeLv1K2TDZzD32QN+Vkr3i9DoXTfYhErXRre9m0cTQmRm66SdILoXq9mIxPa/UMNmHSPSI0/Vw6VcxGyabOvpuVLLPeHqdiyT7EIna6Nh3M4hi6MwM3fQTJJdCdXuxmJ5XapbsQyR6xOl6uPQrZcNkM/fYA31XSvaK0+tcNNmHSNRGt76bRRNDZ2bopp8guRSq24vF9LxSw2QfItEjTtfDpV/FbJhs6ui7Uck+4+l1LpLsQyRqo2PfzSCKoTMzdNNPkFwK1e3FYnpeqVmyD5HoEafr4dKvlA2TzdxjD/RdKdkrTq9z0WQfIlEb3fpuFk0MnZmhm36C5FKobi8W0/NKDZN9iESPOF0Pl34Vs2GyqaPvRiX7jKfXuUiyD5GojY59N4Mohs7M0E0/QXIpVLcXi+l5pWbJPkSiR5yuh0u/UjZMNnOPPdB3pWSvOL3ORZN9iERtdOu7WTQxdGaGbvoJkkuhur1YTM8rNUz2IRI94nQ9XPpVzIbJpo6+G5XsM55e5yLJPkSiNjr23QyiGDozQzf9BMmlUN1eLKbnlZol+xCJHnG6Hi79Stkw2cw99kDflZK94vQ6F032IRK10a3vZtHE0JkZuuknSC6F6vZiMT2v1DDZh0j0iNP1cOlXMRsmmzr6blSyz3h6nYsk+xCJ2ujYdzOIYujMDN30EySXQnV7sZieV2qW7EMkesTperj0K2XDZDP32AN9V0r2itPrXDTZh0jURre+m0UTQ2dm6KafILkUqtuLxfS8UsNkHyLRI07Xw6VfxWyYbOrou1HJPuPpdS6S7EMkaqNj380giqEzM3TTT5BcCtXtxWJ6XqlZsg+R6BGn6+HSr5QNk83cYw/0XSnZK06vc9FkHyJRG936bhZNDJ2ZoZt+guRSqG4vFtPzSg2TfYhEjzhdD5d+FbNhsqmj70Yl+4yn17lIsg+RqI2OfTeDKIbOzNBNP0FyKVS3F4vpeaVmyT5EokecrodLv1I2TDZzjz3Qd6Vkrzi9zkWTfYhEbXTru1k0MXRmhm76CZJLobq9WEzPKzVM9iESPeJ0PVz6VcyGyaaOvhuV7DOeXuciyT5EojY69t0Mohg6M0M3/QTJpVDdXiym55WaJfsQiR5xuh4u/UrZMNnMPfZA35WSveL0OhdN9iEStdGt72bRxNCZGbrpJ0guher2YjE9r9Qw2YdI9IjT9XDpVzEbJps6+m5Uss94ep2LJPsQidro2HcziGLozAzd9BMkl0J1e7GYnldqluxDJHrE6Xq49Ctlw2Qz99gDfVdK9orT61w02YdI1Ea3vptFE0NnZuimnyC5FKrbi8X0vFLDZB8i0SNO18OlX8VsmGzq6LtRyT7j6XUukuxDJGqjY9/NIIqhMzN000+QXArV7cViel6pWbIPkegRp+vh0q+UDZPN3GMP9F0p2StOr3PRZB8iURvd+m4WTQydmaGbfoLkUqhuLxbT80oNk32IRI84XQ+XfhWzYbKpo+9GJfuMp9e5SLIPkaiNjn03gyiGzszQTT9BcilUtxeL6XmlZsk+RKJHnK6HS79SNkw2c4890HelZK84vc5Fk32IRG1067tZNDF0ZoZu+gmSS6G6vVhMzys1TPYhEj3idD1c+lXMhsmmjr4blewznl7nIsk+RKI2OvbdDKIYOjNDN/0EyaVQ3V4spueVmiX7EIkecboeLv1K2TDZzD32QN+Vkr3i9DoXTfYhErXRre9m0cTQmRm66SdILoXq9mIxPa/UMNmHSPSI0/Vw6VcxGyabOvpuVLLPeHqdiyT7EIna6Nh3M4hi6D4wdBlwmSOPwDc//pw32Q0zffRiccOjeQQEIFBMYFq/Eq7JZu6xh4/67u9++L22OCryRaiXXOjRQw8M3WsdMHQYuteZ0ey/TntB+ujFohlWlgMBCGwgMK1fRQSTTd1HfXeqoeOLUMzM+jF61GvwWAGG7rUOy4ZOzX9q/OgH4DUu/msVgW9/+uXT29vbpyl5Rl5VZQrPhUA9gWn9akpf/a11ftR30ePzqN/P39KZ//3r1tO1zld/uZYN3WMBk4vr1++/W2XI/TcQeJx4T8oz8uqGpOAREGhKYFq/mnRY9sd+Bz7qu+gx5zD0j+nrkqfsYy0fnet85SctxdCtLKD63o+cfvW6eP57AtP+ChN59V4//gSBr4nAtH4lbfQyrT9Pix/13al/5ZJ/s9UrA9Gjhx78lcvXOmDo+Dd0rzOj2X+d9oL00YtFM6wsBwIQ2EBgWr+KCCabuo/67lRDx7/ZiplZP0aPeg0eK8DQvdbhqzd0wjL5R0x7eET2EWnUj9GjXoO4AvSINOrH6FGvQVzBdD3cDB1fhGJ21o/Ro16DxwowdK91wNAFLtN/zLQV9iESPSJ69NBBq0APkegR0aOHDlrFZD3cDB1fhJSVPSJ69NABQ/daBwzdk8vkH7EoLfuINOrH6FGvQVwBekQa9WP0qNcgrmC6Hm6Gji9CMTvrx+hRr8FjBRi61zpg6AKX6T9m2gr7EIkeET166KBVoIdI9Ijo0UMHrWKyHm6Gji9CysoeET166IChe60Dhu7JZfKPWJSWfUQa9WP0qNcgrgA9Io36MXrUaxBXMF0PN0PHF6GYnfVj9KjX4LECDN1rHTB0gcv0HzNthX2IRI+IHj100CrQQyR6RPTooYNWMVkPN0PHFyFlZY+IHj10wNC91gFD9+Qy+UcsSss+Io36MXrUaxBXgB6RRv0YPeo1iCuYroeboeOLUMzO+jF61GvwWAGG7rUOGLrAZfqPmbbCPkSiR0SPHjpoFeghEj0ievTQQauYrIeboeOLkLKyR0SPHjpg6F7rgKF7cpn8IxalZR+RRv0YPeo1iCtAj0ijfowe9RrEFUzXw83Q8UUoZmf9GD3qNXisAEP3WgcMXeAy/cdMW2EfItEjokcPHbQK9BCJHhE9euigVUzWw83Q8UVIWdkjokcPHTB0r3XA0D25TP4Ri9Kyj0ijfowe9RrEFaBHpFE/Ro96DeIKpuvhZuj4IhSzs36MHvUaPFaAoXutA4YucJn+Y6atsA+R6BHRo4cOWgV6iESPiB49dNAqJuvhZuj4IqSs7BHRo4cOGLrXOmDonlwm/4hFadlHpFE/Ro96DeIK0CPSqB+jR70GcQXT9XAzdHwRitlZP0aPeg0eK8DQvdYBQxe4TP8x01bYh0j0iOjRQwetAj1EokdEjx46aBWT9XAzdHwRUlb2iOjRQwcM3WsdMHRPLpN/xKK07CPSqB+jR70GcQXoEWnUj9GjXoO4gul6uBk6vgjF7Kwfo0e9Bo8VYOhe64ChC1ym/5hpK+xDJHpE9Oihg1aBHiLRI6JHDx20isl6uBk6vggpK3tE9OihA4butQ4YuieXyT9iUVr2EWnUj9GjXoO4AvSINOrH6FGvQVzBdD3cDB1fhGJ21o/Ro16DxwowdK91wNAFLtN/zLQV9iESPSJ69NBBq0APkegR0aOHDlrFZD3cDB1fhJSVPSJ69NABQ/daBwzdk8vkH7EoLfuINOrH6FGvQVwBekQa9WP0qNcgrmC6Hm6Gji9CMTvrx+hRr8FjBRi61zpg6AKX6T9m2gr7EIkeET166KBVoIdI9Ijo0UMHrWKyHm6Gji9CysoeET166IChe60Dhu7JZfKPWJSWfUQa9WP0qNcgrgA9Io36MXrUaxBXMF0PN0PHF6GYnfVj9KjX4LECDN1rHTB0gcv0HzNthX2IRI+IHj100CrQQyR6RPTooYNWMVkPN0PHFyFlZY+IHj10wNC91gFD9+Qy+UcsSss+Io36MXrUaxBXgB6RRv0YPeo1iCuYroeboeOLUMzO+jF61GvwWAGG7rUOGLrAZfqPmbbCPkSiR0SPHjpoFeghEj0ievTQQauYrIeboeOLkLKyR0SPHjpg6F7rgKF7cpn8IxalZR+RRv0YPeo1iCtAj0ijfowe9RrEFUzXw83Q8UUoZmf9GD3qNXisAEP3WgcMXeAy/cdMW2EfItEjokcPHbQK9BCJHhE9euigVUzWw83Q8UVIWdkjokcPHTB0r3XA0D25TP4Ri9Kyj0ijfowe9RrEFaBHpFE/Ro96DeIKpuvhZuj4IhSzs36MHvUaPFaAoXutA4YucJn+Y6atsA+R6BHRo4cOWgV6iESPiB49dNAqJuvhZuj4IqSs7BHRo4cOGLrXOmDonlwm/4hFadlHpFE/Ro96DeIK0CPSqB+jR70GcQXT9XAzdHwRitlZP0aPeg0eK8DQvdYBQxe4TP8x01bYh0j0iOjRQwetAj1EokdEjx46aBWT9XAzdHwRUlb2iOjRQwcM3WsdMHRPLpN/xKK07CPSqB+jR70GcQXoEWnUj9GjXoO4gul6uBk6vgjF7Kwfo0e9Bo8VYOhe64ChC1ym/5hpK+xDJHpE9Oihg1aBHiLRI6JHDx20isl6uBk6vggpK3tE9OihA4butQ4YuieXyT9iUVr2EWnUj9GjXoO4AvSINOrH6FGvQVzBdD3cDB1fhGJ21o/Ro16DxwowdK91wNAFLtN/zLQV9iESPSJ69NBBq0APkegR0aOHDlrFZD3cDB1fhJSVPSJ69NABQ/daBwzdk8vkH7EoLfuINOrH6FGvQVwBekQa9WP0qNcgrmC6Hm6Gji9CMTvrx+hRr8FjBRi61zpg6AKX6T9m2gr7EIkeET166KBVoIdI9Ijo0UMHrWKyHm6Gji9CysoeET166IChe60Dhu7JZfKPWJSWfUQa9WP0qNcgrgA9Io36MXrUaxBXMF0PN0PHF6GYnfVj9KjX4LECDN1rHTB0gcv0HzNthX2IRI+IHj100CrQQyR6RPTooYNWMVkPN0PHFyFlZY+IHj10wNC91gFD9+Qy+UcsSss+Io36MXrUaxBXgB6RRv0YPeo1iCuYroeboeOLUMzO+jF61GvwWAGG7rUOGLrAZfqPmbbCPkSiR0SPHjpoFeghEj0ievTQQauYrIeboeOLkLKyR0SPHjpg6F7r8NUbuo9+AF7j4r9CYI3ANz/+vDbBzXdTHzcD53EQaETApV/97offN6J6fCl8ETrO6o4r0eMOyr/9DAzda0YYuj/9k9dk+K8Q2EDA5QVpAxqmhAAEmhFw6VdTDR1fhHoVBHr00AND91qHZUOnv54xNfIF4nVi8F/3EPj2p18+vb29fZpSL9THnjxgVghMIODSr6btY8rvA+v8POr33EWvj95Lptf56m/CsqF7LGBykvz6/XerDLkfAocJPE68J9UL9XFYWi6EgB0Bl341bR+TDv0m/Z7Bdc5h8h/Lq4/eSxzqfOVHJMXQrSyg+t6PnH71uni+J4FHw5n0f9THJLVYKwRyCbj0q6l/5ZJ/s5Wbz6uzoccqwZz7+SuXrzli6Pg3dK8zg/+6hYDLC9IWOEwKAQi0IuDSr6YaOv7NVqty+IQePfTA0L3WAUP3gaGb+gPACdLrRL/7v7o0nI++0FEfd2fU++dR5+95VP9puh70q+oMev386XmlXbEPkegRp+vh0q+yswFDZ2boOEHKLpFr87k0HDdDR31cy+ddd6HHLrLn5qVfneN119XUx12kjz0HPY5x2n2VS7/K5oShMzN0009elODT9+HScNwM3fS8cqkP9iECPSL9qocOX66CfvUlkdo/o0ctfz3dpV9pP1kRQ2dm6DhByiqNtXlcGo6boaM+1vI6+270yCZ6bT761TVuu++iPnYTPjc/epzjtetql36VzQdDZ2boOEHKLpFr87k0HDdDR31cy+ddd6HHLrLn5qVfneN119XUx12kjz0HPY5x2n2VS7/K5oShMzN0nCBll8i1+Vwajpuhoz6u5fOuu9BjF9lz89KvzvG662rq4y7Sx56DHsc47b7KpV9lc8LQmRk6TpCyS+TafC4Nx83QUR/X8nnXXeixi+y5eelX53jddTX1cRfpY89Bj2Ocdl/l0q+yOWHozAwdJ0jZJXJtPpeG42boqI9r+bzrLvTYRfbcvPSrc7zuupr6uIv0seegxzFOu69y6VfZnDB0ZoaOE6TsErk2n0vDcTN01Me1fN51F3rsIntuXvrVOV53XU193EX62HPQ4xin3Ve59KtsThg6M0PHCVJ2iVybz6XhuBk66uNaPu+6Cz12kT03L/3qHK+7rqY+7iJ97DnocYzT7qtc+lU2JwydmaHjBCm7RK7N59Jw3Awd9XEtn3fdhR67yJ6bl351jtddV1Mfd5E+9hz0OMZp91Uu/SqbE4bOzNBxgpRdItfmc2k4boaO+riWz7vuQo9dZM/NS786x+uuq6mPu0gfew56HOO0+yqXfpXNCUNnZug4QcoukWvzuTQcN0NHfVzL5113occusufmpV+d43XX1dTHXaSPPQc9jnHafZVLv8rmhKEzM3ScIGWXyLX5XBqOm6GjPq7l86670GMX2XPz0q/O8brraurjLtLHnoMexzjtvsqlX2VzwtCZGTpOkLJL5Np8Lg3HzdBRH9fyeddd6LGL7Ll56VfneN11NfVxF+ljz0GPY5x2X+XSr7I5YejMDB0nSNklcm0+l4bjZuioj2v5vOsu9NhF9ty89KtzvO66mvq4i/Sx56DHMU67r3LpV9mcMHRmho4TpOwSuTafS8NxM3TUx7V83nUXeuwie25e+tU5XnddTX3cRfrYc9DjGKfdV7n0q2xOGDozQ8cJUnaJXJvPpeG4GTrq41o+77oLPXaRPTcv/eocr7uupj7uIn3sOehxjNPuq1z6VTYnDJ2ZoeMEKbtErs3n0nDcDB31cS2fd92FHrvInpuXfnWO111XUx93kT72HPQ4xmn3VS79KpsThs7M0HGClF0i1+ZzaThuho76uJbPu+5Cj11kz81LvzrH666rqY+7SB97Dnoc47T7Kpd+lc0JQ2dm6DhByi6Ra/O5NBw3Q0d9XMvnXXehxy6y5+alX53jddfV1MddpI89Bz2Ocdp9lUu/yuaEoTMzdJwgZZfItflcGo6boaM+ruXzrrvQYxfZc/PSr87xuutq6uMu0seegx7HOO2+yqVfZXPC0JkZOk6Qskvk2nwuDcfN0FEf1/J5113osYvsuXnpV+d43XU19XEX6WPPQY9jnHZf5dKvsjlh6MwMHSdI2SVybT6XhuNm6KiPa/m86y702EX23Lz0q3O87rqa+riL9LHnoMcxTruvculX2ZwwdGaGjhOk7BK5Np9Lw3EzdNTHtXzedRd67CJ7bl761Tled11NfdxF+thz0OMYp91XufSrbE4YOjNDxwlSdolcm8+l4bgZOurjWj7vugs9dpE9Ny/96hyvu66mPu4ifew56HGM0+6rXPpVNicMnZmh4wQpu0SuzefScNwMHfVxLZ933YUeu8iem5d+dY7XXVdTH3eRPvYc9DjGafdVLv0qmxOGzszQcYKUXSLX5nNpOG6Gjvq4ls+77kKPXWTPzUu/Osfrrqupj7tIH3sOehzjtPsql36VzQlDZ2boOEHKLpFr87k0HDdDR31cy+ddd6HHLrLn5qVfneN119XUx12kjz0HPY5x2n2VS7/K5oShMzN0nCBll8i1+Vwajpuhoz6u5fOuu9BjF9lz89KvzvG662rq4y7Sx56DHsc47b7KpV9lc8LQmRk6TpCyS+TafC4Nx83QUR/X8nnXXeixi+y5eelX53jddTX1cRfpY89Bj2Ocdl/l0q+yOWHozAwdJ0jZJXJtPpeG42boqI9r+bzrLvTYRfbcvPSrc7zuupr6uIv0seegxzFOu69y6VfZnDB0ZoaOE6TsErk2n0vDcTN01Me1fN51F3rsIntuXvrVOV53XU193EX62HPQ4xin3Ve59KtsThg6M0PHCVJ2iVybz6XhuBk66uNaPu+6Cz12kT03L/3qHK+7rqY+7iJ97DnocYzT7qtc+lU2JwydmaHjBCm7RK7N59Jw3Awd9XEtn3fdhR67yJ6bl351jtddV1Mfd5E+9hz0OMZp91Uu/SqbE4bOzNBxgpRdItfmc2k4boaO+riWz7vuQo9dZM/NS786x+uuq6mPu0gfew56HOO0+yqXfpXNCUNnZug4QcoukWvzuTQcN0NHfVzL5113occusufmpV+d43XX1dTHXaSPPQc9jnHafZVLv8rmhKEzM3ScIGWXyLX5XBqOm6GjPq7l86670GMX2XPz0q/O8brraurjLtLHnoMexzjtvsqlX2VzwtCZGTpOkLJL5Np8Lg3HzdBRH9fyeddd6LGL7Ll56VfneN11NfVxF+ljz0GPY5x2X+XSr7I5YejMDB0nSNklcm0+l4bjZuioj2v5vOsu9NhF9ty89KtzvO66mvq4i/Sx56DHMU67r3LpV9mcMHRmho4TpOwSuTafS8NxM3TUx7V83nUXeuwie25e+tU5XnddTX3cRfrYc9DjGKfdV7n0q2xOGDozQ8cJUnaJXJvPpeG4GTrq41o+77oLPXaRPTcv/eocr7uupj7uIn3sOehxjNPuq1z6VTanZUP3+fPnT29vb5+mxo9eWL/96ZfR+5qqh8u6XfLKZR8uecU+Zv/edNXPpc5d9tE1T1gX/afD+75rna8avGVD91jA5CL/9fvvXjL85sefR++rQ9FNzotVfi555bKPVT25f+6h3dfch47mrUudu+zjqG5cR1/6Gvubc52/NCQH/2OKoTv4rJaXfeT0f/fD71uu97cWxd/x/i1C9/zvLn8lgPq4J1/OPoU6P0ts7/XT9aBf7c2Pq7NPzyvtm32IRI84XQ+XfpWdDRg6/g1ddk6lzDf976q7NBw3Qzc9r1Rc7EMkesTpetCveuTRl6uYnlfaD/sQiR5xuh4u/So7GzB0ZoZu+smLEnz6Plwajpuhm55XLvXBPkSgR6Rf9dDhy1XQr74kUvtn9Kjlr6e79CvtJyti6MwM3fSTFyX29H24NBw3Qzc9r1zqg32IQI9Iv+qhw5eroF99SaT2z+hRy19Pd+lX2k9WxNCZGTpOkLJKY20el4bjZuioj7W8zr4bPbKJXpuPfnWN2+67qI/dhM/Njx7neO262qVfZfPB0JkZOk6Qskvk2nwuDcfN0FEf1/J5113osYvsuXnpV+d43XU19XEX6WPPQY9jnHZf5dKvsjlh6MwMHSdI2SVybT6XhuNm6KiPa/m86y702EX23Lz0q3O87rqa+riL9LHnoMcxTruvculX2ZwwdGaGjhOk7BK5Np9Lw3EzdNTHtXzedRd67CJ7bl761Tled11NfdxF+thz0OMYp91XufSrbE4YOjNDxwlSdolcm8+l4bgZOurjWj7vugs9dpE9Ny/96hyvu66mPu4ifew56HGM0+6rXPpVNicMnZmh4wQpu0SuzefScNwMHfVxLZ933YUeu8iem5d+dY7XXVdTH3eRPvYc9DjGafdVLv0qmxOGzszQcYKUXSLX5nNpOG6Gjvq4ls+77kKPXWTPzUu/Osfrrqupj7tIH3sOehzjtPsql36VzQlDZ2boOEHKLpFr87k0HDdDR31cy+ddd6HHLrLn5qVfneN119XUx12kjz0HPY5x2n2VS7/K5oShMzN0nCBll8i1+Vwajpuhoz6u5fOuu9BjF9lz89KvzvG662rq4y7Sx56DHsc47b7KpV9lc8LQmRk6TpCyS+TafC4Nx83QUR/X8nnXXeixi+y5eelX53jddTX1cRfpY89Bj2Ocdl/l0q+yOWHozAwdJ0jZJXJtPpeG42boqI9r+bzrLvTYRfbcvPSrc7zuupr6uIv0seegxzFOu69y6VfZnDB0ZoaOE6TsErk2n0vDcTN01Me1fN51F3rsIntuXvrVOV53XU193EX62HPQ4xin3Ve59KtsThg6M0PHCVJ2iVybz6XhuBk66uNaPu+6Cz12kT03L/3qHK+7rqY+7iJ97DnocYzT7qtc+lU2JwydmaHjBCm7RK7N59Jw3Awd9XEtn3fdhR67yJ6bl351jtddV1Mfd5E+9hz0OMZp91Uu/SqbE4bOzNBxgpRdItfmc2k4boaO+riWz7vuQo9dZM/NS786x+uuq6mPu0gfew56HOO0+yqXfpXNCUNnZug4QcoukWvzuTQcN0NHfVzL5113occusufmpV+d43XX1dTHXaSPPQc9jnHafZVLv8rmhKEzM3ScIGWXyLX5XBqOm6GjPq7l86670GMX2XPz0q/O8brraurjLtLHnoMexzjtvsqlX2VzwtCZGTpOkLJL5Np8Lg3HzdBRH9fyeddd6LGL7Ll56VfneN11NfVxF+ljz0GPY5x2X+XSr7I5YejMDB0nSNklcm0+l4bjZuioj2v5vOsu9NhF9ty89KtzvO66mvq4i/Sx56DHMU67r3LpV9mcMHRmho4TpOwSuTafS8NxM3TUx7V83nUXeuwie25e+tU5XnddTX3cRfrYc9DjGKfdV7n0q2xOGDozQ8cJUnaJXJvPpeG4GTrq41o+77oLPXaRPTcv/eocr7uupj7uIn3sOehxjNPuq1z6VTYnDJ2ZoeMEKbtErs3n0nDcDB31cS2fd92FHrvInpuXfnWO111XUx93kT72HPQ4xmn3VS79KpsThs7M0HGClF0i1+ZzaThuho76uJbPu+5Cj11kz81LvzrH666rqY+7SB97Dnoc47T7Kpd+lc0JQ2dm6DhByi6Ra/O5NBw3Q0d9XMvnXXehxy6y5+alX53jddfV1MddpI89Bz2Ocdp9lUu/yuaEoTMzdJwgZZfItflcGo6boaM+ruXzrrvQYxfZc/PSr87xuutq6uMu0seegx7HOO2+yqVfZXPC0JkZOk6Qskvk2nwuDcfN0FEf1/J5113osYvsuXnpV+d43XU19XEX6WPPQY9jnHZf5dKvsjlh6MwMHSdI2SVybT6XhuNm6KiPa/m86y702EX23Lz0q3O87rqa+riL9LHnoMcxTruvculX2ZwwdGaGjhOk7BK5Np9Lw3EzdNTHtXzedRd67CJ7bl761Tled11NfdxF+thz0OMYp91XufSrbE4YOjNDxwlSdolcm8+l4bgZOurjWj7vugs9dpE9Ny/96hyvu66mPu4ifew56HGM0+6rXPpVNicMnZmh4wQpu0SuzefScNwMHfVxLZ933YUeu8iem5d+dY7XXVdTH3eRPvYc9DjGafdVLv0qmxOGzszQcYKUXSLX5nNpOG6Gjvq4ls+77kKPXWTPzUu/Osfrrqupj7tIH3sOehzjtPsql36VzQlDZ2boOEHKLpFr87k0HDdDR31cy+ddd6HHLrLn5qVfneN119XUx12kjz0HPY5x2n2VS7/K5oShMzN0nCBll8i1+Vwajpuhoz6u5fOuu9BjF9lz89KvzvG662rq4y7Sx56DHsc47b7KpV9lc8LQmRk6TpCyS+TafC4Nx83QUR/X8nnXXeixi+y5eelX53jddTX1cRfpY89Bj2Ocdl/l0q+yOWHozAwdJ0jZJXJtPpeG42boqI9r+bzrLvTYRfbcvPSrc7zuupr6uIv0seegxzFOu69y6VfZnDB0ZoaOE6TsErk2n0vDcTN01Me1fN51F3rsIntuXvrVOV53XU193EX62HPQ4xin3Ve59KtsThg6M0PHCVJ2iVybz6XhuBk66uNaPu+6Cz12kT03L/3qHK+7rqY+7iJ97DnocYzT7qtc+lU2JwydmaHjBCm7RK7N59Jw3Awd9XEtn3fdhR67yJ6bl351jtddV1Mfd5E+9hz0OMZp91Uu/SqbE4bOzNBxgpRdItfmc2k4boaO+riWz7vuQo9dZM/N696vztHgaghAYCKBb378eeKy09aMoTMzdJwgpdXG0kTuL0i/++H3S3yqbqY+qsi/fi56vOZy939171d38+R5EIDA/QQwdG9vbyvYP3/+/OkxxdT40ReIb3/6ZfS+purhsm6XvHLZh0tesY/Zvzdd9XOp84/2sfKOw70QgMAMAtPf21cpp3yh6/ojdWRdv37/3UuGD6d/5P7JZpb97Xs5dMkrl31Qp3MP3ehT+/qU6sKlzj/ax8sfef4jBCBgRcDhvX1FkBRDt7KA6ns/OtGb+lfK+Dcp1Rn1/57v/leYqI/aPKPOa/l/+fTperj3qy/14s8QgIAfAf7K5eOI7iv+PzdDx79J6ZHM7i9IUw0d9dGjPrQK9BCJ2ujer2rp8nQIQOAOAhg6DN3LPJv6wjr9pFhiTN+H+wsS9aFMrYnT60PU2IdI1EaXfiWK+mu6+vPUyD56KYce6NGLwPvV8Fcu+f9y+T4jmvxp+sm9ywsSX7CbFMQXy5heH9oO+xCJ2ujSryJFXr4jjfoxetRrEFeAHpGGxxhDZ2boOPHuUZguL0huho766FEfWgV6iERtdOlXosjLqkj0iOjRQwetAj1Ewiti6MwMHSfePQrU5QXJzdBRHz3qQ6tAD5GojS79KlLkpTXSqB+jR70GcQXoEWl4jDF0ZoaOE+8ehenyguRm6KiPHvWhVaCHSNRGl34lirysikSPiB49dNAq0EMkvCKGzszQceLdo0BdXpDcDB310aM+tAr0EIna6NKvIkVeWiON+jF61GsQV4AekYbHGENnZug48e5RmC4vSG6GjvroUR9aBXqIRG106VeiyMuqSPSI6NFDB60CPUTCK2LozAwdJ949CtTlBcnN0FEfPepDq0APkaiNLv0qUuSlNdKoH6NHvQZxBegRaXiMMXRmho4T7x6F6fKC5GboqI8e9aFVoIdI1EaXfiWKvKyKRI+IHj100CrQQyS8IobOzNBx4t2jQF1ekNwMHfXRoz60CvQQidro0q8iRV5aI436MXrUaxBXgB6RhscYQ2dm6Djx7lGYLi9IboaO+uhRH1oFeohEbXTpV6LIy6pI9Ijo0UMHrQI9RMIrYujMDB0n3j0K1OUFyc3QUR896kOrQA+RqI0u/SpS5KU10qgfo0e9BnEF6BFpeIwxdGaGjhPvHoXp8oLkZuiojx71oVWgh0jURpd+JYq8rIpEj4gePXTQKtBDJLwihs7M0HHi3aNAXV6Q3Awd9dGjPrQK9BCJ2ujSryJFXlojjfoxetRrEFeAHpGGxxhDZ2boOPHuUZguL0huho766FEfWgV6iERtdOlXosjLqkj0iOjRQwetAj1Ewiti6MwMHSfePQrU5QXJzdBRHz3qQ6tAD5GojS79KlLkpTXSqB+jR70GcQXoEWl4jDF0ZoaOE+8ehenyguRm6KiPHvWhVaCHSNRGl34lirysikSPiB49dNAq0EMkvCKGzszQceLdo0BdXpDcDB310aM+tAr0EIna6NKvIkVeWiON+jF61GsQV4AekYbHGENnZug48e5RmC4vSG6GjvroUR9aBXqIRG106VeiyMuqSPSI6NFDB60CPUTCK2LozAwdJ949CtTlBcnN0FEfPepDq0APkaiNLv0qUuSlNdKoH6NHvQZxBegRaXiMMXRmho4T7x6F6fKC5GboqI8e9aFVoIdI1EaXfiWKvKyKRI+IHj100CrQQyS8IobOzNBx4t2jQF1ekNwMHfXRoz60CvQQidro0q8iRV5aI436MXrUaxBXgB6RhscYQ2dm6Djx7lGYLi9IboaO+uhRH1oFeohEbXTpV6LIy6pI9Ijo0UMHrQI9RMIrYujMDB0n3j0K1OUFyc3QUR896kOrQA+RqI0u/SpS5KU16Rbv7wAADEFJREFU0qgfo0e9BnEF6BFpeIwxdGaGjhPvHoXp8oLkZuiojx71oVWgh0jURpd+JYq8rIpEj4gePXTQKtBDJLwihs7M0HHi3aNAXV6Q3Awd9dGjPrQK9BCJ2ujSryJFXlojjfoxetRrEFeAHpGGxxhDZ2boOPHuUZguL0huho766FEfWgV6iERtdOlXosjLqkj0iOjRQwetAj1Ewiti6MwMHSfePQrU5QXJzdBRHz3qQ6tAD5GojS79KlLkpTXSqB+jR70GcQXoEWl4jDF0ZoaOE+8ehenyguRm6KiPHvWhVaCHSNRGl34lirysikSPiB49dNAq0EMkvCKGzszQceLdo0BdXpDcDB310aM+tAr0EIna6NKvIkVeWiON+jF61GsQV4AekYbHGENnZug48e5RmC4vSG6GjvroUR9aBXqIRG106VeiyMuqSPSI6NFDB60CPUTCK2LozAwdJ949CtTlBcnN0FEfPepDq0APkaiNLv0qUuSlNdKoH6NHvQZxBegRaXiMMXRmho4T7x6F6fKC5GboqI8e9aFVoIdI1EaXfiWKvKyKRI+IHj100CrQQyS8IobOzNBx4t2jQF1ekNwMHfXRoz60CvQQidro0q8iRV5aI436MXrUaxBXgB6RhscYQ2dm6Djx7lGYLi9IboaO+uhRH1oFeohEbXTpV6LIy6pI9Ijo0UMHrQI9RMIrYujMDB0n3j0K1OUFyc3QUR896kOrQA+RqI0u/SpS5KU10qgfo0e9BnEF6BFpeIwxdGaGjhPvHoXp8oLkZuiojx71oVWgh0jURpd+JYq8rIpEj4gePXTQKtBDJLwihs7M0HHi3aNAXV6Q3Awd9dGjPrQK9BCJ2ujSryJFXlojjfoxetRrEFeAHpGGxxhDZ2boOPHuUZguL0huho766FEfWgV6iERtdOlXosjLqkj0iOjRQwetAj1Ewiti6MwMHSfePQrU5QXJzdBRHz3qQ6tAD5GojS79KlLkpTXSqB+jR70GcQXoEWl4jDF0Hxg6D3nZRTcC3/z4c7cl/dH1fGTo/uhN/I8QgIAFgWn9StB5WRWJ2vgX//IvaxfA078qAn/1b/7JV7XfLzeLocPQfZkT/HkjgWkvSBi6jcnA1BBoTmBav4o4MXWRRs0YQ1fD/Wt9Kobu7e1tRXw1zamRF9YV9bn3LIFvf/rl06PkptQL9XFWYa6HgA+Baf1qSl/9WtaJofPpBRN28tf/9p+Oer/6sg+sMk75Qvfloib9+dfvv1tlyP0QOEzgceJNfRzGxYUQgEAhgWn9atJh2aTfgatc//xf/PvC7OXRXxuBxxe66XW1olmKoVtZQPW9fIGoVuDrev60v8JEfXxd+cluIRAJTOtXWrte6vTnqXH6PvhCNzXzZq6bv3K5+FcuZ8r+N6vmhfVvWDDaT2DaCxL1sT8neAIEuhKY1q8ix+lmSHuZvA8MnVQk3kEAQ/eVGzol2eSmqT08IvuINOrH6FGvQVwBekQa9WP0qNcgrgA9Io368XQ9PjJ0//qf/1k93Asr+It/8Hf+8G+0/vq//Hrh7j63TN/Hv/p3/+ElTAwdhu7/J8b05qmNsA+R6BHRo4cOWgV6iESPiB49dNAq0EMkesTJergZuj//+9/+4dD8r/7zf++RHBdXMX0fGLrXwn/1/4ZOWCY3Te3hEdlHpFE/Ro96DeIK0CPSqB+jR70GcQXoEWnUj6fr4Wbopn/ZUkZP3weGTkq+jxi6wGN689RW2IdI9Ijo0UMHrQI9RKJHRI8eOmgV6CESPeJkPdwM3fQvW8ro6fvA0EnJ9xFD9+QxuWlGSdlHpFE/Ro96DeIK0CPSqB+jR70GcQXoEWnUj6fr4Wbopn/ZUkZP3weGTkq+jxi6wGN689RW2IdI9Ijo0UMHrQI9RKJHRI8eOmgV6CESPeJkPdwM3fQvW8ro6fvA0EnJ9xFD9+QxuWlGSdlHpFE/Ro96DeIK0CPSqB+jR70GcQXoEWnUj6fr4Wbopn/ZUkZP3weGTkq+jxi6wGN689RW2IdI9Ijo0UMHrQI9RKJHRI8eOmgV6CESPeJkPdwM3fQvW8ro6fvA0EnJ9xFD9+QxuWlGSdlHpFE/Ro96DeIK0CPSqB+jR70GcQXoEWnUj6fr4Wbopn/ZUkZP3weGTkq+jxi6wGN689RW2IdI9Ijo0UMHrQI9RKJHRI8eOmgV6CESPeJkPdwM3fQvW8ro6fvA0EnJ9xFD9+QxuWlGSdlHpFE/Ro96DeIK0CPSqB+jR70GcQXoEWnUj6fr4Wbopn/ZUkZP3weGTkq+jxi6wGN689RW2IdI9Ijo0UMHrQI9RKJHRI8eOmgV6CESPeJkPdwM3fQvW8ro6fvA0EnJ9xFD9+QxuWlGSdlHpFE/Ro96DeIK0CPSqB+jR70GcQXoEWnUj6fr4Wbopn/ZUkZP3weGTkq+jxi6wGN689RW2IdI9Ijo0UMHrQI9RKJHRI8eOmgV6CESPeJkPdwM3fQvW8ro6fvA0EnJ9xFD9+QxuWlGSdlHpFE/Ro96DeIK0CPSqB+jR70GcQXoEWnUj6fr4Wbopn/ZUkZP3weGTkq+jxi6wGN689RW2IdI9Ijo0UMHrQI9RKJHRI8eOmgV6CESPeJkPdwM3fQvW8ro6fvA0EnJ9xFD9+QxuWlGSdlHpFE/Ro96DeIK0CPSqB+jR70GcQXoEWnUj6fr4Wbopn/ZUkZP3weGTkq+jxi6wGN689RW2IdI9Ijo0UMHrQI9RKJHRI8eOmgV6CESPeJkPdwM3fQvW8ro6fvA0EnJ9xFD9+QxuWlGSdlHpFE/Ro96DeIK0CPSqB+jR70GcQXoEWnUj6fr4Wbopn/ZUkZP3weGTkq+jxi6wGN689RW2IdI9Ijo0UMHrQI9RKJHRI8eOmgV6CESPeJkPdwM3fQvW8ro6fvA0EnJ9xFD9+QxuWlGSdlHpFE/Ro96DeIK0CPSqB+jR70GcQXoEWnUj6fr4Wbopn/ZUkZP3weGTkq+jxi6wGN689RW2IdI9Ijo0UMHrQI9RKJHRI8eOmgV6CESPeJkPdwM3fQvW8ro6fvA0EnJ9xFD9+QxuWlGSdlHpFE/Ro96DeIK0CPSqB+jR70GcQXoEWnUj6fr4Wbopn/ZUkZP3weGTkq+jxi6wGN689RW2IdI9Ijo0UMHrQI9RKJHRI8eOmgV6CESPeJkPdwM3fQvW8ro6fvA0EnJ9xFD9+QxuWlGSdlHpFE/Ro96DeIK0CPSqB+jR70GcQXoEWnUj6fr4Wbopn/ZUkZP3weGTkq+jxi6wGN689RW2IdI9Ijo0UMHrQI9RKJHRI8eOmgV6CESPeJkPdwM3fQvW8ro6fvA0EnJ9xFD9+QxuWlGSdlHpFE/Ro96DeIK0CPSqB+jR70GcQXoEWnUj6fr4Wbopn/ZUkZP3weGTkq+jxi6wGN689RW2IdI9Ijo0UMHrQI9RKJHRI8eOmgV6CESPeJkPdwM3fQvW8ro6fvA0EnJ9xFD9+QxuWlGSdlHpFE/Ro96DeIK0CPSqB+jR70GcQXoEWnUj6fr4Wbopn/ZUkZP3weGTkq+jxi6wGN689RW2IdI9Ijo0UMHrQI9RKJHRI8eOmgV6CESPeJkPdwM3fQvW8ro6fvA0EnJ9xFD9+QxuWlGSdlHpFE/Ro96DeIK0CPSqB+jR70GcQXoEWnUj6fr4Wbopn/ZUkZP3weGTkq+jxi6wGN689RW2IdI9Ijo0UMHrQI9RKJHRI8eOmgV6CESPeJkPdwM3fQvW8ro6fvA0EnJ9xFD9+QxuWlGSdlHpFE/Ro96DeIK0CPSqB+jR70GcQXoEWnUj6fr4Wbopn/ZUkZP3weGTkq+jxi6wGN689RW2IdI9Ijo0UMHrQI9RKJHRI8eOmgV6CESPeJkPdwM3fQvW8ro6fvA0EnJ9xFD9+QxuWlGSdlHpFE/Ro96DeIK0CPSqB+jR70GcQXoEWnUj6fr4Wbopn/ZUkZP3weGTkq+jxi6wGN689RW2IdI9Ijo0UMHrQI9RKJHRI8eOmgV6CESPeJkPdwM3fQvW8ro6fvA0EnJ9xFD9+QxuWlGSdlHpFE/Ro96DeIK0CPSqB+jR70GcQXoEWnUj6fr4Wbopn/ZUkZP3weGTkq+jxi6wGN689RW2IdI9Ijo0UMHrQI9RKJHRI8eOmgV6CESPeJkPdwM3fQvW8ro6fvA0EnJ9/H/AAAA//+/muZEAABAAElEQVTtnLG6JddxnWcSK2FE6AVkOrDskA7xgZFi4AkU4B2gzBEy4B0U8AmgmBHwOSRD2wpI+wUMR0rsZOyGziLqXva5M+fsde6uWvMzqZ4ZdN1d66/q3av3DN+++///e8P/3rx9+/ZNghTU0auZ4QGPRyhAXz1C1ftzwuN+7R5xJzweoertOX/zD/90etPXX356+vvdf/M3f/vXP70n/vDPP3Zf6ovrm17Hf/7H/3Ja3/fffH76+x/Lb77F0P2Mmk3gZy06XMGjA4Wf1wCPn7XocAWPDhR+XgM8ftaiwxU89lNIM3Sf/ftPfvr4//1//1/7xV1YwfQ6MHTn8D96Q3ftgXMuF7+LAiiAAijwKAWmfWH93//p3z1KCvIaFfjl7/9ozPZ6qaab0mvvV5zQvV4Pnf0kTujOVJn/exi6K38lYD5aKkABFECBWQpg6GbxmrLaqYbu0HeyqUszdNNPtjSv0+vghE4kn8ZlQ6eHzdR47YHzVCZ+hQIogAIo8GgFfvj2i5/+jcqU/YQTukd3hCf/J3/406i+mtL/71vntferaXP+vjr583/9/6B4LR1S+2r1abds6I4FvBbER/ycz776blVD7kcBFEABFDAocJzQPeI5f/wfXj0i74+//pWhalI8WoHjhO4R/B/VVyl5r71fTZvzFB4pdST31cqz0GLoVhaw+95rTn/3uvj5KIACKPCxKcBfufzYiL9OvVP/yqVM6Ouo5P8p196v+Dd0fq1vyci/obtFrTn/LYaOf0M3p1tZKQqgQLQCGLpovNuKm2roDsEmm7o0Qzf9355pAKfXwb+hE8mnEUN3xdDxBelpo7z2r6Z/QZJe1CElekR49OCQsiFf+zd0v/jt73oIfeMq/uo//tuf/q3Z//1v//PGO3v85//y9393upCphm6ymTtApBk69o/T8Xr130zZP9zCYejCDN30Ly9qcOqQEj0iPHpw0Cqm80jZkNMM3b/5D3/z04nQ//mv/0OtNiqmGbpD/MmmLs3QTX/uapin15Gyf4iHK2LowgwdX5Bco+HJAw+Pjq4s8HApuZYnZUNOM3Sc0K31tfvuyWbu0CLN0LF/uDv8vnwp+8d91V+/C0MXZuimf3lRq1KHlOgR4dGDg1YxnUfKhpxm6Dih04T1iZNNXZqhm/7cVVdPryNl/xAPV8TQhRk6viC5RsOTBx4eHV1Z4OFSci1PyoacZug4oVvra/fdk83coUWaoWP/cHf4fflS9o/7qr9+F4YuzNBN//KiVqUOKdEjwqMHB61iOo+UDTnN0HFCpwnrEyebujRDN/25q66eXkfK/iEeroihCzN0fEFyjYYnDzw8OrqywMOl5FqelA05zdBxQrfW1+67J5u5Q4s0Q8f+4e7w+/Kl7B/3VX/9LgxdmKGb/uVFrUodUqJHhEcPDlrFdB4pG3KaoeOEThPWJ042dWmGbvpzV109vY6U/UM8XBFDF2bo+ILkGg1PHnh4dHRlgYdLybU8KRtymqHjhG6tr913TzZzhxZpho79w93h9+VL2T/uq/76XRi6MEM3/cuLWpU6pESPCI8eHLSK6TxSNuQ0Q8cJnSasT5xs6tIM3fTnrrp6eh0p+4d4uCKGLszQ8QXJNRqePPDw6OjKAg+Xkmt5UjbkNEPHCd1aX7vvnmzmDi3SDB37h7vD78uXsn/cV/31uzB0YYZu+pcXtSp1SIkeER49OGgV03mkbMhpho4TOk1YnzjZ1KUZuunPXXX19DpS9g/xcEUMXZih4wuSazQ8eeDh0dGVBR4uJdfypGzIaYaOE7q1vnbfPdnMHVqkGTr2D3eH35cvZf+4r/rrd2Howgzd9C8valXqkBI9Ijx6cNAqpvNI2ZDTDB0ndJqwPnGyqUszdNOfu+rq6XWk7B/i4YoYujBDxxck12h48sDDo6MrCzxcSq7lSdmQ0wwdJ3Rrfe2+e7KZO7RIM3TsH+4Ovy9fyv5xX/XX78LQhRm66V9e1KrUISV6RHj04KBVTOeRsiGnGTpO6DRhfeJkU5dm6KY/d9XV0+tI2T/EwxUxdGGGji9IrtHw5IGHR0dXFni4lFzLk7Ihpxk6TujW+tp992Qzd2iRZujYP9wdfl++lP3jvuqv34WhCzN007+8qFWpQ0r0iPDowUGrmM4jZUNOM3Sc0GnC+sTJpi7N0E1/7qqrp9eRsn+Ihyti6MIMHV+QXKPhyQMPj46uLPBwKbmWJ2VDTjN0nNCt9bX77slm7tAizdCxf7g7/L58KfvHfdVfvwtDF2bopn95UatSh5ToEeHRg4NWMZ1HyoacZug4odOE9YmTTV2aoZv+3FVXT68jZf8QD1fE0IUZOr4guUbDkwceHh1dWeDhUnItT8qGnGboOKFb62v33ZPN3KFFmqFj/3B3+H35UvaP+6q/fheGLszQTf/yolalDinRI8KjBwetYjqPlA05zdBxQqcJ6xMnm7o0Qzf9uauunl5Hyv4hHq6IoQszdHxBco2GJw88PDq6ssDDpeRanpQNOc3QcUK31tfuuyebuUOLNEPH/uHu8Pvypewf91V//S4MXZihm/7lRa1KHVKiR4RHDw5axXQeKRtymqHjhE4T1idONnVphm76c1ddPb2OlP1DPFwRQxdm6PiC5BoNTx54eHR0ZYGHS8m1PCkbcpqh44Rura/dd082c4cWaYaO/cPd4fflS9k/7qv++l0YujBDN/3Li1qVOqREjwiPHhy0iuk8UjbkNEPHCZ0mrE+cbOrSDN305666enodKfuHeLgihi7M0PEFyTUanjzw8OjoygIPl5JreVI25DRDxwndWl+7755s5g4t0gwd+4e7w+/Ll7J/3Ff99bswdGGGbvqXF7UqdUiJHhEePThoFdN5pGzIaYaOEzpNWJ842dSlGbrpz1119fQ6UvYP8XBFDF2YoeMLkms0PHng4dHRlQUeLiXX8qRsyGmGjhO6tb523z3ZzB1apBk69g93h9+XL2X/uK/663dh6MIM3fQvL2pV6pASPSI8enDQKqbzSNmQ0wwdJ3SasD5xsqlLM3TTn7vq6ul1pOwf4uGKGLowQ8cXJNdoePLAw6OjKws8XEqu5UnZkNMMHSd0a33tvnuymTu0SDN07B/uDr8vX8r+cV/11+/C0IUZuulfXtSq1CElekR49OCgVUznkbIhpxk6Tug0YX3iZFOXZuimP3fV1dPrSNk/xMMVMXRhho4vSK7R8OSBh0dHVxZ4uJRcy5OyIacZOk7o1vraffdkM3dokWbo2D/cHX5fvpT9477qr9+FoQszdNO/vKhVqUNK9Ijw6MFBq5jOI2VDTjN0nNBpwvrEyaYuzdBNf+6qq6fXkbJ/iIcrYujCDB1fkFyj4ckDD4+OrizwcCm5lidlQ04zdJzQrfW1++7JZu7QIs3QsX+4O/y+fCn7x33VX78LQxdm6KZ/eVGrUoeU6BHh0YODVjGdR8qGnGboOKHThPWJk01dmqGb/txVV0+vI2X/EA9XxNCFGTq+ILlGw5MHHh4dXVng4VJyLU/Khpxm6DihW+tr992TzdyhRZqhY/9wd/h9+VL2j/uqv34Xhi7M0E3/8qJWpQ4p0SPCowcHrWI6j5QNOc3QcUKnCesTJ5u6NEM3/bmrrp5eR8r+IR6uiKELM3R8QXKNhicPPDw6urLAw6XkWp6UDTnN0HFCt9bX7rsnm7lDizRDx/7h7vD78qXsH/dVf/0uDF2YoZv+5UWtSh1SokeERw8OWsV0Hikbcpqh44ROE9YnTjZ1aYZu+nNXXT29jpT9QzxcEUMXZuj4guQaDU8eeHh0dGWBh0vJtTwpG3KaoeOEbq2v3XdPNnOHFmmGjv3D3eH35UvZP+6r/vpdGLowQzf9y4talTqkRI8Ijx4ctIrpPFI25DRDxwmdJqxPnGzq0gzd9Oeuunp6HSn7h3i44rKh08Nmarz2wPnh2y/evHv37s3Uulj3W/jRv8zv255zkPLcvWboPvnDn3j+bHj+wKPXvKfMOe9T9NVr+IFVY7ds6I4FTG72z7767lTD77/5fHRdr9F8k7mjDx8r6N99m3TKc/fHX//qdP/45e//yP6x4WMCPHo911PmnPcF+uq13hdON5QP/E2LofvAn9XyP7v2BenrLz9tud73LYq/4/0+hV73z+Hxunq/76fB430Kvc6fp/yVmWsnQr/47e9eR0jzT+Hf0JkFXUynl8jFNNtu5/1qm/Qv/uDp+2DK/vEipDv+EEPHv6G7o20ef8v0v+MthahDSvSI8OjBIWVDTjN0/Bu6HvNRVzHZ1KUZOvaP2pn7rlP2D7eCGLowQzf9y4sanDqkRI8Ijx4ctIrpPFI25DRDxwmdJqxHnGzmDgXTDN305666enodKfuHeLgihi7M0PEFyTUanjzw8OjoygIPl5JreVI25DRDxwndWl8/4u7Jpi7N0LF/PKLDb8+Zsn/cXvnLd2Dowgzd9C8valfqkBI9Ijx6cNAqpvNI2ZDTDB0ndJqwHnGymTsUTDN005+76urpdaTsH+Lhihi6MEPHFyTXaHjywMOjoysLPFxKruVJ2ZDTDB0ndGt9/Yi7J5u6NEPH/vGIDr89Z8r+cXvlL9+BoQszdNO/vKhdqUNK9Ijw6MFBq5jOI2VDTjN0nNBpwnrEyWbuUDDN0E1/7qqrp9eRsn+Ihyti6MIMHV+QXKPhyQMPj46uLPBwKbmWJ2VDTjN0nNCt9fUj7p5s6tIMHfvHIzr89pwp+8ftlb98B4YuzNBN//KidqUOKdEjwqMHB61iOo+UDTnN0HFCpwnrESebuUPBNEM3/bmrrp5eR8r+IR6uiKELM3R8QXKNhicPPDw6urLAw6XkWp6UDTnN0HFCt9bXj7h7sqlLM3TsH4/o8Ntzpuwft1f+8h0YujBDN/3Li9qVOqREjwiPHhy0iuk8UjbkNEPHCZ0mrEecbOYOBdMM3fTnrrp6eh0p+4d4uCKGLszQ8QXJNRqePPDw6OjKAg+Xkmt5UjbkNEPHCd1aXz/i7smmLs3QsX88osNvz5myf9xe+ct3YOjCDN30Ly9qV+qQEj0iPHpw0Cqm80jZkNMMHSd0mrAecbKZOxRMM3TTn7vq6ul1pOwf4uGKGLowQ8cXJNdoePLAw6OjKws8XEqu5UnZkNMMHSd0a339iLsnm7o0Q8f+8YgOvz1nyv5xe+Uv34GhCzN007+8qF2pQ0r0iPDowUGrmM4jZUNOM3Sc0GnCesTJZu5QMM3QTX/uqqun15Gyf4iHK2LowgwdX5Bco+HJAw+Pjq4s8HApuZYnZUNOM3Sc0K319SPunmzq0gwd+8cjOvz2nCn7x+2Vv3wHhi7M0E3/8qJ2pQ4p0SPCowcHrWI6j5QNOc3QcUKnCesRJ5u5Q8E0Qzf9uauunl5Hyv4hHq6IoQszdHxBco2GJw88PDq6ssDDpeRanpQNOc3QcUK31tePuHuyqUszdOwfj+jw23Om7B+3V/7yHRi6MEM3/cuL2pU6pESPCI8eHLSK6TxSNuQ0Q8cJnSasR5xs5g4F0wzd9Oeuunp6HSn7h3i4IoYuzNDxBck1Gp488PDo6MoCD5eSa3lSNuQ0Q8cJ3VpfP+LuyaYuzdCxfzyiw2/PmbJ/3F75y3dg6MIM3fQvL2pX6pASPSI8enDQKqbzSNmQ0wwdJ3SasB5xspk7FEwzdNOfu+rq6XWk7B/i4YoYujBDxxck12h48sDDo6MrCzxcSq7lSdmQ0wwdJ3Rrff2IuyebujRDx/7xiA6/PWfK/nF75S/fgaELM3TTv7yoXalDSvSI8OjBQauYziNlQ04zdJzQacJ6xMlm7lAwzdBNf+6qq6fXkbJ/iIcrYujCDB1fkFyj4ckDD4+OrizwcCm5lidlQ04zdJzQrfX1I+6ebOrSDB37xyM6/PacKfvH7ZW/fAeGLszQTf/yonalDinRI8KjBwetYjqPlA05zdBxQqcJ6xEnm7lDwTRDN/25q66eXkfK/iEeroihCzN0fEFyjYYnDzw8OrqywMOl5FqelA05zdBxQrfW14+4e7KpSzN07B+P6PDbc6bsH7dX/vIdGLowQzf9y4valTqkRI8Ijx4ctIrpPFI25DRDxwmdJqxHnGzmDgXTDN305666enodKfuHeLgihi7M0PEFyTUanjzw8OjoygIPl5JreVI25DRDxwndWl8/4u7Jpi7N0LF/PKLDb8+Zsn/cXvnLd2Dowgzd9C8valfqkBI9Ijx6cNAqpvNI2ZDTDB0ndJqwHnGymTsUTDN005+76urpdaTsH+Lhihi6MEPHFyTXaHjywMOjoysLPFxKruVJ2ZDTDB0ndGt9/Yi7J5u6NEPH/vGIDr89Z8r+cXvlL9+BoQszdNO/vKhdqUNK9Ijw6MFBq5jOI2VDTjN0nNBpwnrEyWbuUDDN0E1/7qqrp9eRsn+Ihyti6MIMHV+QXKPhyQMPj46uLPBwKbmWJ2VDTjN0nNCt9fUj7p5s6tIMHfvHIzr89pwp+8ftlb98B4YuzNBN//KidqUOKdEjwqMHB61iOo+UDTnN0HFCpwnrESebuUPBNEM3/bmrrp5eR8r+IR6uiKELM3R8QXKNhicPPDw6urLAw6XkWp6UDTnN0HFCt9bXj7h7sqlLM3TsH4/o8Ntzpuwft1f+8h0YujBDN/3Li9qVOqREjwiPHhy0iuk8UjbkNEPHCZ0mrEecbOYOBdMM3fTnrrp6eh0p+4d4uCKGLszQ8QXJNRqePPDw6OjKAg+Xkmt5UjbkNEPHCd1aXz/i7smmLs3QsX88osNvz5myf9xe+ct3YOjCDN30Ly9qV+qQEj0iPHpw0Cqm80jZkNMMHSd0mrAecbKZOxRMM3TTn7vq6ul1pOwf4uGKGLowQ8cXJNdoePLAw6OjKws8XEqu5UnZkNMMHSd0a339iLsnm7o0Q8f+8YgOvz1nyv5xe+Uv34GhCzN007+8qF2pQ0r0iPDowUGrmM4jZUNOM3Sc0GnCesTJZu5QMM3QTX/uqqun15Gyf4iHK2LowgwdX5Bco+HJAw+Pjq4s8HApuZYnZUNOM3Sc0K319SPunmzq0gwd+8cjOvz2nCn7x+2Vv3wHhi7M0E3/8qJ2pQ4p0SPCowcHrWI6j5QNOc3QcUKnCesRJ5u5Q8E0Qzf9uauunl5Hyv4hHq6IoQszdHxBco2GJw88PDq6ssDDpeRanpQNOc3QcUK31tePuHuyqUszdOwfj+jw23Om7B+3V/7yHRi6K4buZdn4UxRAARRAAbcC33/zuTvlQ/OlGTpO6B7aLjcnn2zmjmLTDN30ky014PQ6MHQi+TRi6DB0TzuCX6EACqDAJgUwdJuEv/xYTuj26n/20yebujRDxwndWYe+/u9h6M41XzZ0ethMjdceOOdy8bsogAIogAKPUuCHb7948+7duzdT9pNrJ3Sf/OFPo+qYovf71gmPt6367tr71bQ5f1/f8eev23epfbW6ry4bumMBk5v5s6++W9WQ+1EABVAABQwKHCd0k/aTH3/9q9Oqf/n7P46qY5KJfqk/4NHrY8i196tpc54yHyl1JPfV6Ybygb9pMXQf+LNa/mfXnH7LxbIoFEABFAhWgL9yuRcu/4Zur/7Pf7rM6/Pfn/Lra+9XX3/56ZQSnqxz+r89UzHT6+CvXIrk04ih49/QPe0IfoUCKIACmxTA0G0S/vJj+Td0e/U/++mTTV2aoePf0J116Ov/HobuXPOP3tBJlskPTdVwROqoauy/hsd+BnUF8Khq7L+ezuPav9n6xW9/t1/cO1bACd0doj3wlunzkWbopp9sqVWn14GhE8mnEUNX9Jj+8FQp1CElekR49OCgVcBDSvSIk3mkGTpO6HrMRF3F5PlIM3Sc0NXO3HeNoTvXHkN30WXyQ7OipY6qxv5reOxnUFcAj6rG/uvpPNIMHSd0+2eirmD6fKQZuuknW+qt6XVg6ETyacTQFT2mPzxVCnVIiR4RHj04aBXwkBI94mQeaYaOE7oeM1FXMXk+0gwdJ3S1M/ddY+jOtcfQXXSZ/NCsaKmjqrH/Gh77GdQVwKOqsf96Oo80Q8cJ3f6ZqCuYPh9phm76yZZ6a3odGDqRfBoxdEWP6Q9PlUIdUqJHhEcPDloFPKREjziZR5qh44Sux0zUVUyejzRDxwld7cx91xi6c+0xdBddJj80K1rqqGrsv4bHfgZ1BfCoauy/ns4jzdBxQrd/JuoKps9HmqGbfrKl3ppeB4ZOJJ9GDF3RY/rDU6VQh5ToEeHRg4NWAQ8p0SNO5pFm6Dih6zETdRWT5yPN0HFCVztz3zWG7lx7DN1Fl8kPzYqWOqoa+6/hsZ9BXQE8qhr7r6fzSDN0nNDtn4m6gunzkWbopp9sqbem14GhE8mnEUNX9Jj+8FQp1CElekR49OCgVcBDSvSIk3mkGTpO6HrMRF3F5PlIM3Sc0NXO3HeNoTvXHkN30WXyQ7OipY6qxv5reOxnUFcAj6rG/uvpPNIMHSd0+2eirmD6fKQZuuknW+qt6XVg6ETyacTQFT2mPzxVCnVIiR4RHj04aBXwkBI94mQeaYaOE7oeM1FXMXk+0gwdJ3S1M/ddY+jOtcfQXXSZ/NCsaKmjqrH/Gh77GdQVwKOqsf96Oo80Q8cJ3f6ZqCuYPh9phm76yZZ6a3odGDqRfBoxdEWP6Q9PlUIdUqJHhEcPDloFPKREjziZR5qh44Sux0zUVUyejzRDxwld7cx91xi6c+0xdBddJj80K1rqqGrsv4bHfgZ1BfCoauy/ns4jzdBxQrd/JuoKps9HmqGbfrKl3ppeB4ZOJJ9GDF3RY/rDU6VQh5ToEeHRg4NWAQ8p0SNO5pFm6Dih6zETdRWT5yPN0HFCVztz3zWG7lx7DN1Fl8kPzYqWOqoa+6/hsZ9BXQE8qhr7r6fzSDN0nNDtn4m6gunzkWbopp9sqbem14GhE8mnEUNX9Jj+8FQp1CElekR49OCgVcBDSvSIk3mkGTpO6HrMRF3F5PlIM3Sc0NXO3HeNoTvXHkN30WXyQ7OipY6qxv5reOxnUFcAj6rG/uvpPNIMHSd0+2eirmD6fKQZuuknW+qt6XVg6ETyacTQFT2mPzxVCnVIiR4RHj04aBXwkBI94mQeaYaOE7oeM1FXMXk+0gwdJ3S1M/ddY+jOtcfQXXSZ/NCsaKmjqrH/Gh77GdQVwKOqsf96Oo80Q8cJ3f6ZqCuYPh9phm76yZZ6a3odGDqRfBoxdEWP6Q9PlUIdUqJHhEcPDloFPKREjziZR5qh44Sux0zUVUyejzRDxwld7cx91xi6c+0xdBddJj80K1rqqGrsv4bHfgZ1BfCoauy/ns4jzdBxQrd/JuoKps9HmqGbfrKl3ppeB4ZOJJ9GDF3RY/rDU6VQh5ToEeHRg4NWAQ8p0SNO5pFm6Dih6zETdRWT5yPN0HFCVztz3zWG7lx7DN1Fl8kPzYqWOqoa+6/hsZ9BXQE8qhr7r6fzSDN0nNDtn4m6gunzkWbopp9sqbem14GhE8mnEUNX9Jj+8FQp1CElekR49OCgVcBDSvSIk3mkGTpO6HrMRF3F5PlIM3Sc0NXO3HeNoTvXHkN30WXyQ7OipY6qxv5reOxnUFcAj6rG/uvpPNIMHSd0+2eirmD6fKQZuuknW+qt6XVg6ETyacTQFT2mPzxVCnVIiR4RHj04aBXwkBI94mQeaYaOE7oeM1FXMXk+0gwdJ3S1M/ddY+jOtcfQXXSZ/NCsaKmjqrH/Gh77GdQVwKOqsf96Oo80Q8cJ3f6ZqCuYPh9phm76yZZ6a3odGDqRfBoxdEWP6Q9PlUIdUqJHhEcPDloFPKREjziZR5qh44Sux0zUVUyejzRDxwld7cx91xi6c+0xdBddJj80K1rqqGrsv4bHfgZ1BfCoauy/ns4jzdBxQrd/JuoKps9HmqGbfrKl3ppeB4ZOJJ9GDF3RY/rDU6VQh5ToEeHRg4NWAQ8p0SNO5pFm6Dih6zETdRWT5yPN0HFCVztz3zWG7lx7DN1Fl8kPzYqWOqoa+6/hsZ9BXQE8qhr7r6fzSDN0nNDtn4m6gunzkWbopp9sqbem14GhE8mnEUNX9Jj+8FQp1CElekR49OCgVcBDSvSIk3mkGTpO6HrMRF3F5PlIM3Sc0NXO3HeNoTvXHkN30WXyQ7OipY6qxv5reOxnUFcAj6rG/uvpPNIMHSd0+2eirmD6fKQZuuknW+qt6XVg6ETyacTQFT2mPzxVCnVIiR4RHj04aBXwkBI94mQeaYaOE7oeM1FXMXk+0gwdJ3S1M/ddY+jOtcfQXXSZ/NCsaKmjqrH/Gh77GdQVwKOqsf96Oo80Q8cJ3f6ZqCuYPh9phm76yZZ6a3odGDqRfBoxdEWP6Q9PlUIdUqJHhEcPDloFPKREjziZR5qh44Sux0zUVUyejzRDxwld7cx91xi6c+0xdBddJj80K1rqqGrsv4bHfgZ1BfCoauy/ns4jzdBxQrd/JuoKps9HmqGbfrKl3ppeB4ZOJJ9GDF3RY/rDU6VQh5ToEeHRg4NWAQ8p0SNO5pFm6Dih6zETdRWT5yPN0HFCVztz3zWG7lx7DN1Fl8kPzaOEay8W59jn/e4vf//HUYtO5zEKxkew2GnzISSpz91f/PZ3KnFU5ISuF67p85Fm6KafbKm7p9eBoRPJpxFDV/SY/PBMNxDTXljTeZSx4bKBAtPmo0qW+Nydaug4oaud2eN68nykGTpO6HrMBIbunMOyodPDhvj2zbt3797s0iHdQHzyhz9t1fdWruk8zh8n/O4uBabNx63z1PW/vzbn8NizH8Jjj+7X5vOaofvh2y9G7efX6uP39/Rbal+tvj8sG7pjATT1nqauuv/461+t9kLr+48TiFrvTvP8IetI59G6WT7CxU2bj+7z+6Hruzbn8NjzcRMee3S/Ni+fffXd6dP4+28+H7WfX6uP39/Tb8l9dTowH/ibFkP3gT+r9X+ml/TWi3xhcde+TL5wy6g/mvZXytJ5jGqej2Cx0+ZDSFKfu1P/yiX/hk6d2SNOn49rJylff/lpD4FvXMX0f3umcqfXwV+5FMmnEUNX9Jj88Ew3ENNeWNN5lLHhsoEC0+ajSpb43J1q6Pg3dLUze1xPno80Q8e/oesxExi6cw4Yuosukx+aRwnXDMS0F4t/+fu/O+3UaS+sKTwEY/qX+5Q6UuZDPHjuSokecfqcMx89+kirSDN000+2/szlb//6p3/D+MM//6jfGhUxdOe4MHRFl8kvFykGImVDTuGh8Zj+5T6ljpT5EI8j8tytauy9nj7nzMfe/nn+09MMHSd0zwnv+TWG7lx3DN1Fl8kvFUcJKQYiZUNO4aHHxvQv9yl1pMyHePDclRI94vQ5Zz569JFWkWboOKET2b0RQ3euP4au6DL55SLFQKRsyCk8NB7Tv9yn1JEyH+JxRJ67VY2919PnnPnY2z/Pf3qaoeOE7jnhPb/G0J3rjqG76DL5peIoIcVApGzIKTz02Jj+5T6ljpT5EA+eu1KiR5w+58xHjz7SKtIMHSd0Irs3YujO9cfQFV0mv1ykGIiUDTmFh8Zj+pf7lDpS5kM8jshzt6qx93r6nDMfe/vn+U9PM3Sc0D0nvOfXGLpz3TF0F10mv1QcJaQYiJQNOYWHHhvTv9yn1JEyH+LBc1dK9IjT55z56NFHWkWaoeOETmT3Rgzduf4YuqLL5JeLFAORsiGn8NB4TP9yn1JHynyIxxF57lY19l5Pn3PmY2//PP/paYaOE7rnhPf8GkN3rjuG7qLL5JeKo4QUA5GyIafw0GNj+pf7lDpS5kM8eO5KiR5x+pwzHz36SKtIM3Sc0Ins3oihO9cfQ1d0mfxykWIgUjbkFB4aj+lf7lPqSJkP8Tgiz92qxt7r6XPOfOztn+c/Pc3QcUL3nPCeX2PoznXH0F10mfxScZSQYiBSNuQUHnpsTP9yn1JHynyIB89dKdEjTp9z5qNHH2kVaYaOEzqR3RsxdOf6Y+iKLpNfLlIMRMqGnMJD4zH9y31KHSnzIR5H5Llb1dh7PX3OmY+9/fP8p6cZOk7onhPe82sM3bnuGLqLLpNfKo4SUgxEyoacwkOPjelf7lPqSJkP8eC5KyV6xOlzznz06COtIs3QcUInsnsjhu5cfwxd0WXyy0WKgUjZkFN4aDymf7lPqSNlPsTjiDx3qxp7r6fPOfOxt3+e//Q0Q8cJ3XPCe36NoTvXHUN30WXyS8VRQoqBSNmQU3josTH9y31KHSnzIR48d6VEjzh9zpmPHn2kVaQZOk7oRHZvxNCd64+hK7pMfrlIMRApG3IKD43H9C/3KXWkzId4HJHnblVj7/X0OWc+9vbP85+eZug4oXtOeM+vMXTnumPoLrpMfqk4SkgxECkbcgoPPTamf7lPqSNlPsSD566U6BGnzznz0aOPtIo0Q8cJncjujRi6c/0xdEWXyS8XKQYiZUNO4aHxmP7lPqWOlPkQjyPy3K1q7L2ePufMx97+ef7T0wwdJ3TPCe/5NYbuXHcM3UWXyS8VRwkpBiJlQ07hocfG9C/3KXWkzId48NyVEj3i9DlnPnr0kVaRZug4oRPZvRFDd64/hq7oMvnlIsVApGzIKTw0HtO/3KfUkTIf4nFEnrtVjb3X0+ec+djbP89/epqh44TuOeE9v8bQneuOobvoMvml4ighxUCkbMgpPPTYmP7lPqWOlPkQD567UqJHnD7nzEePPtIq0gwdJ3Qiuzdi6M71x9AVXSa/XKQYiJQNOYWHxmP6l/uUOlLmQzyOyHO3qrH3evqcMx97++f5T08zdJzQPSe859cYunPdMXQXXSa/VBwlpBiIlA05hYceG9O/3KfUkTIf4sFzV0r0iNPnnPno0UdaRZqh44ROZPdGDN25/hi6osvkl4sUA5GyIafw0HhM/3KfUkfKfIjHEXnuVjX2Xk+fc+Zjb/88/+lpho4TuueE9/waQ3euO4buosvkl4qjhBQDkbIhp/DQY2P6l/uUOlLmQzx47kqJHnH6nDMfPfpIq0gzdJzQiezeiKE71x9DV3SZ/HKRYiBSNuQUHhqP6V/uU+pImQ/xOCLP3arG3uvpc8587O2f5z89zdBxQvec8J5fY+jOdcfQXXSZ/FJxlJBiIFI25BQeemxM/3KfUkfKfIgHz10p0SNOn3Pmo0cfaRVpho4TOpHdGzF05/pj6Iouk18uUgxEyoacwkPjMf3LfUodKfMhHkfkuVvV2Hs9fc6Zj7398/ynpxk6TuieE97zawzdue4Yuosuk18qjhJSDETKhpzCQ4+N6V/uU+pImQ/x4LkrJXrE6XPOfPToI60izdBxQieyeyOG7lx/DF3RZfLLRYqBSNmQU3hoPKZ/uU+pI2U+xOOIPHerGnuvp88587G3f57/9DRDxwndc8J7fo2hO9cdQ3fRZfJLxVFCioFI2ZBTeOixMf3LfUodKfMhHjx3pUSPOH3OmY8efaRVpBk6TuhEdm/E0J3rj6Erukx+uUgxECkbcgoPjcf0L/cpdaTMh3gckeduVWPv9fQ5Zz729s/zn55m6Dihe054z68xdOe6Y+guukx+qThKSDEQKRtyCg89NqZ/uU+pI2U+xIPnrpToEafPOfPRo4+0ijRDxwmdyO6NGLpz/TF0RZfJLxcpBiJlQ07hofGY/uU+pY6U+RCPI/LcrWrsvZ4+58zH3v55/tPTDB0ndM8J7/k1hu5cdwzdRZfJLxVHCSkGImVDTuGhx8b0L/cpdaTMh3jw3JUSPeL0OWc+evSRVpFm6DihE9m9EUN3rj+Grugy+eUixUCkbMgpPDQe07/cp9SRMh/icUSeu1WNvdfT55z52Ns/z396mqHjhO454T2/xtCd646hu+gy+aXiKCHFQKRsyCk89NiY/uU+pY6U+RAPnrtSokecPufMR48+0irSDB0ndCK7N2LozvXH0BVdJr9cpBiIlA05hYfGY/qX+5Q6UuZDPI7Ic7eqsfd6+pwzH3v75/lPTzN0nNA9J7zn1xi6c90xdBddJr9UHCWkGIiUDTmFhx4b07/cp9SRMh/iwXNXSvSI0+ec+ejRR1pFmqHjhE5k90YM3bn+GLqiy+SXixQDkbIhp/DQeEz/cp9SR8p8iMcRee5WNfZeT59z5mNv/zz/6WmGjhO654T3/BpDd647hu6iy+SXiqOEawbiHPu83/3l7/84atHpPEbB+AgWO20+hITnrpQgPlIB5uOR6l7PnWboOKG7zvo1/wRDd642hq7oMvnlIt1ATNuQ03mUseGygQLT5qNKxnO3qsH1IxRgPh6h6vtzphk6Tujez/w1/gsM3bnKy4ZOmzHx7Zt37979+a8PvbYe6Qbikz/8aau+t/JM53H+OOF3dykwbT5unaeu/z1zvqvjb/u5zMee95Nrhu6Hb78YtZ93ff58rOtK7avbnmp/+V8vG7oj5cfaVJ3q/vHXv/pLukG/c3xh7aT3+8x7Oo+g1oooZdp8vG9+pvw5cz5jfJiPPR+bP/vqu9MG+f6bz0ft51OeRx/LOpP76nRgPvA3LYbuA39W6/9MZqH1Il9YXPqX4ml/ZSadxwutyB9tUGDafEginrtSgvhIBZiPR6p7Pfe1k5Svv/z0+k2N/4R/Q9cDDn/l8pwDhq7oMvnlIt1ATNuQ03mUseGygQLT5qNKxnO3qsH1IxRgPh6h6vtzphk6/g3d+5m/xn+BoTtXGUN30WXyS0VFSx1Vjf3X8NjPoK4AHlWN/dfw2M+grgAeVY3919N5pBk6Tuj2z8SxAgzdOQcMXdFl+sNTpVCHlOgR4dGDg1YBDynRI8KjBwetAh5SokeczCPN0HFC12MmMHTnHDB0F10mPzQrWuqoauy/hsd+BnUF8Khq7L+Gx34GdQXwqGrsv57OI83QcUK3fyaOFWDozjlg6Iou0x+eKoU6pESPCI8eHLQKeEiJHhEePThoFfCQEj3iZB5pho4Tuh4zgaE754Chu+gy+aFZ0VJHVWP/NTz2M6grgEdVY/81PPYzqCuAR1Vj//V0HmmGjhO6/TNxrABDd84BQ1d0mf7wVCnUISV6RHj04KBVwENK9Ijw6MFBq4CHlOgRJ/NIM3Sc0PWYCQzdOQcM3UWXyQ/NipY6qhr7r+Gxn0FdATyqGvuv4bGfQV0BPKoa+6+n80gzdJzQ7Z+JYwUYunMOGLqiy/SHp0qhDinRI8KjBwetAh5SokeERw8OWgU8pESPOJlHmqHjhK7HTGDozjlg6C66TH5oVrTUUdXYfw2P/QzqCuBR1dh/DY/9DOoK4FHV2H89nUeaoeOEbv9MHCvA0J1zwNAVXaY/PFUKdUiJHhEePThoFfCQEj0iPHpw0CrgISV6xMk80gwdJ3Q9ZgJDd84BQ3fRZfJDs6KljqrG/mt47GdQVwCPqsb+a3jsZ1BXAI+qxv7r6TzSDB0ndPtn4lgBhu6cA4au6DL94alSqENK9Ijw6MFBq4CHlOgR4dGDg1YBDynRI07mkWboOKHrMRMYunMOGLqLLpMfmhUtdVQ19l/DYz+DugJ4VDX2X8NjP4O6AnhUNfZfT+eRZug4ods/E8cKMHTnHDB0RZfpD0+VQh1SokeERw8OWgU8pESPCI8eHLQKeEiJHnEyjzRDxwldj5nA0J1zwNBddJn80KxoqaOqsf8aHvsZ1BXAo6qx/xoe+xnUFcCjqrH/ejqPNEPHCd3+mThWgKE754ChK7pMf3iqFOqQEj0iPHpw0CrgISV6RHj04KBVwENK9IiTeaQZOk7oeswEhu6cA4buosvkh2ZFSx1Vjf3X8NjPoK4AHlWN/dfw2M+grgAeVY3919N5pBk6Tuj2z8SxAgzdOQcMXdFl+sNTpVCHlOgR4dGDg1YBDynRI8KjBwetAh5SokeczCPN0HFC12MmMHTnHDB0F10mPzQrWuqoauy/hsd+BnUF8Khq7L+Gx34GdQXwqGrsv57OI83QcUK3fyaOFWDozjlg6Iou0x+eKoU6pESPCI8eHLQKeEiJHhEePThoFfCQEj3iZB5pho4Tuh4zgaE754Chu+gy+aFZ0VJHVWP/NTz2M6grgEdVY/81PPYzqCuAR1Vj//V0HmmGjhO6/TNxrABDd84BQ1d0mf7wVCnUISV6RHj04KBVwENK9Ijw6MFBq4CHlOgRJ/NIM3Sc0PWYCQzdOQcM3UWXyQ/NipY6qhr7r+Gxn0FdATyqGvuv4bGfQV0BPKoa+6+n80gzdJzQ7Z+JYwUYunMOGLqiy/SHp0qhDinRI8KjBwetAh5SokeERw8OWgU8pESPOJlHmqHjhK7HTGDozjlg6C66TH5oVrTUUdXYfw2P/QzqCuBR1dh/DY/9DOoK4FHV2H89nUeaoeOEbv9MHCvA0J1zwNAVXaY/PFUKdUiJHhEePThoFfCQEj0iPHpw0CrgISV6xMk80gwdJ3Q9ZgJDd84BQ3fRZfJDs6KljqrG/mt47GdQVwCPqsb+a3jsZ1BXAI+qxv7r6TzSDB0ndPtn4lgBhu6cA4au6DL94alSqENK9Ijw6MFBq4CHlOgR4dGDg1YBDynRI07mkWboOKHrMRMYunMOGLqLLpMfmhUtdVQ19l/DYz+DugJ4VDX2X8NjP4O6AnhUNfZfT+eRZug4ods/E8cKMHTnHDB0RZfpD0+VQh1SokeERw8OWgU8pESPCI8eHLQKeEiJHnEyjzRDxwldj5nA0J1zwNBddJn80KxoqaOqsf8aHvsZ1BXAo6qx/xoe+xnUFcCjqrH/ejqPNEPHCd3+mThWgKE754ChK7pMf3iqFOqQEj0iPHpw0CrgISV6RHj04KBVwENK9IiTeaQZOk7oeswEhu6cA4buosvkh2ZFSx1Vjf3X8NjPoK4AHlWN/dfw2M+grgAeVY3919N5pBk6Tuj2z8SxAgzdOQcMXdFl+sNTpVCHlOgR4dGDg1YBDynRI8KjBwetAh5SokeczCPN0HFC12MmMHTnHDB0F10mPzQrWuqoauy/hsd+BnUF8Khq7L+Gx34GdQXwqGrsv57OI83QcUK3fyaOFWDozjlg6Iou0x+eKoU6pESPCI8eHLQKeEiJHhEePThoFfCQEj3iZB5pho4Tuh4zgaE754Chu+gy+aFZ0VJHVWP/NTz2M6grgEdVY/81PPYzqCuAR1Vj//V0HmmGjhO6/TNxrABDd84BQ1d0mf7wVCnUISV6RHj04KBVwENK9Ijw6MFBq4CHlOgRJ/NIM3Sc0PWYCQzdOQcM3UWXyQ/NipY6qhr7r+Gxn0FdATyqGvuv4bGfQV0BPKoa+6+n80gzdJzQ7Z+JYwUYunMOGLqiy/SHp0qhDinRI8KjBwetAh5SokeERw8OWgU8pESPOJlHmqHjhK7HTGDozjl89Ibu2gPnXC5+FwVQAAVQAAVQAAVeX4Hvv/n89X/owk+89n719ZefLmTddysndPu0rz8ZQ1fV+PkaQ/cP//SzGlyhAAqgAAqgAAqgQEMFMHR7oXBCt1d//XQMnZR4GpcNnf46wNR47QvSU5n4FQqgAAqgAAqgAArsU+CHb7948+7duzdT3reuvV9Nq2OK3h/LOlP7avXJsmzojgVMbqLPvvpuVUPuRwEUQAEUQAEUQIGHKnCc0E1637r2fjWtjkkmelJ/3Ktrcl+tPEAshm5lAbvvveb0d6+Ln48CKIACKIACKIACUoC/cikl9kT+Dd0e3Z//VP7K5XNF/vXXGDr+Dd15Z/C7KIACKIACKIACbRTA0O1Fwb+h26u/fjqGTko8jRi6K4aO/xemp43y2r/iS9hrK/7yz4PHy/q89p/C47UVf/nnweNlfV77T6fzSHlhvfY3oHi/eu2JePrzmI+neqT8CkMXZuj4gtRrNOEBj0coQF89QtX7c8Ljfu0eced0Hhi6R3TFes7pfSUFpteRMh/i4YoYujBDN/3LixqbOqREjwiPHhy0CnhIiR4RHj04aBXTeaS8sHJCp47sFZmPXjxcq8HQhRm66V9e1NjUISV6RHj04KBVwENK9Ijw6MFBq5jOA0Mnkr3i9L6SmtPrSJkP8XBFDF2YoZv+5UWNTR1SokeERw8OWgU8pESPCI8eHLSK6TxSXlg5oVNH9orMRy8ertVg6MIM3fQvL2ps6pASPSI8enDQKuAhJXpEePTgoFVM54GhE8lecXpfSc3pdaTMh3i4IoYuzNBN//KixqYOKdEjwqMHB60CHlKiR4RHDw5axXQeKS+snNCpI3tF5qMXD9dqMHRhhm76lxc1NnVIiR4RHj04aBXwkBI9Ijx6cNAqpvPA0Ilkrzi9r6Tm9DpS5kM8XBFDF2bopn95UWNTh5ToEeHRg4NWAQ8p0SPCowcHrWI6j5QXVk7o1JG9IvPRi4drNRi6MEM3/cuLGps6pESPCI8eHLQKeEiJHhEePThoFdN5YOhEslec3ldSc3odKfMhHq6IoQszdNO/vKixqUNK9Ijw6MFBq4CHlOgR4dGDg1YxnUfKCysndOrIXpH56MXDtRoMXZihm/7lRY1NHVKiR4RHDw5aBTykRI8Ijx4ctIrpPDB0ItkrTu8rqTm9jpT5EA9XxNCFGbrpX17U2NQhJXpEePTgoFXAQ0r0iPDowUGrmM4j5YWVEzp1ZK/IfPTi4VoNhi7M0E3/8qLGpg4p0SPCowcHrQIeUqJHhEcPDlrFdB4YOpHsFaf3ldScXkfKfIiHK2Lowgzd9C8vamzqkBI9Ijx6cNAq4CElekR49OCgVUznkfLCygmdOrJXZD568XCtBkMXZuimf3lRY1OHlOgR4dGDg1YBDynRI8KjBwetYjoPDJ1I9orT+0pqTq8jZT7EwxUxdGGGbvqXFzU2dUiJHhEePThoFfCQEj0iPHpw0Cqm80h5YeWETh3ZKzIfvXi4VoOhCzN007+8qLGpQ0r0iPDowUGrgIeU6BHh0YODVjGdB4ZOJHvF6X0lNafXkTIf4uGKGLowQzf9y4samzqkRI8Ijx4ctAp4SIkeER49OGgV03mkvLByQqeO7BWZj148XKvB0IUZuulfXtTY1CElekR49OCgVcBDSvSI8OjBQauYzgNDJ5K94vS+kprT60iZD/FwRQxdmKGb/uVFjU0dUqJHhEcPDloFPKREjwiPHhy0iuk8Ul5YOaFTR/aKzEcvHq7VYOjCDN30Ly9qbOqQEj0iPHpw0CrgISV6RHj04KBVTOeBoRPJXnF6X0nN6XWkzId4uCKGLszQTf/yosamDinRI8KjBwetAh5SokeERw8OWsV0HikvrJzQqSN7ReajFw/XajB0YYZu+pcXNTZ1SIkeER49OGgV8JASPSI8enDQKqbzwNCJZK84va+k5vQ6UuZDPFwRQxdm6KZ/eVFjU4eU6BHh0YODVgEPKdEjwqMHB61iOo+UF1ZO6NSRvSLz0YuHazUYujBDN/3LixqbOqREjwiPHhy0CnhIiR4RHj04aBXTeWDoRLJXnN5XUnN6HSnzIR6uiKELM3TTv7yosalDSvSI8OjBQauAh5ToEeHRg4NWMZ1HygsrJ3TqyF6R+ejFw7UaDF2YoZv+5UWNTR1SokeERw8OWgU8pESPCI8eHLSK6TwwdCLZK07vK6k5vY6U+RAPV8TQhRm66V9e1NjUISV6RHj04KBVwENK9Ijw6MFBq5jOI+WFlRM6dWSvyHz04uFaDYYuzNBN//KixqYOKdEjwqMHB60CHlKiR4RHDw5axXQeGDqR7BWn95XUnF5HynyIhyti6MIM3fQvL2ps6pASPSI8enDQKuAhJXpEePTgoFVM55HywsoJnTqyV2Q+evFwrQZDF2bopn95UWNTh5ToEeHRg4NWAQ8p0SPCowcHrWI6DwydSPaK0/tKak6vI2U+xMMVMXRhhm76lxc1NnVIiR4RHj04aBXwkBI9Ijx6cNAqpvNIeWHlhE4d2SsyH714uFaDoQszdNO/vKixqUNK9Ijw6MFBq4CHlOgR4dGDg1YxnQeGTiR7xel9JTWn15EyH+Lhihi6MEM3/cuLGps6pESPCI8eHLQKeEiJHhEePThoFdN5pLywckKnjuwVmY9ePFyrwdCFGbrpX17U2NQhJXpEePTgoFXAQ0r0iPDowUGrmM4DQyeSveL0vpKa0+tImQ/xcEUMXZihm/7lRY1NHVKiR4RHDw5aBTykRI8Ijx4ctIrpPFJeWDmhU0f2isxHLx6u1WDowgzd9C8vamzqkBI9Ijx6cNAq4CElekR49OCgVUzngaETyV5xel9Jzel1pMyHeLgihi7M0E3/8qLGpg4p0SPCowcHrQIeUqJHhEcPDlrFdB4pL6yc0Kkje0XmoxcP12owdGGGbvqXFzU2dUiJHhEePThoFfCQEj0iPHpw0Cqm88DQiWSvOL2vpOb0OlLmQzxcEUMXZuimf3lRY1OHlOgR4dGDg1YBDynRI8KjBwetYjqPlBfWayd04kREAacC33/zuTPduFwYujBDN/3LiyaIOqREjwiPHhy0CnhIiR4RHj04aBXTeWDoRJKIAh+uAIbu3bt3Hy7XX/6Xb9++fXOkmBqvfUH64dsvRtc1lQfrnj1P8IPf5P2A/qV/O/RvynvJtTr+8k2S30GBdQWmv7evKmA5oZu8CX721XenGh5Of3JdHTYl9OPliD6c+7GL+WV+md8985vyXnKtjtOXLn4TBRYVSHhvX5HAYuhWFrD73mtfkL7+8tPdS7vr50//twMqmjqkRI8Ijx4ctAp4SIkeER49OGgV03nwVy5FkogCH64Af+Xy+AT3Ef8vzdBN/7cDakXqkBI9Ijx6cNAq4CElekR49OCgVUzngaETSSIKfLgCGDoM3Wm3cEJ3Ksur/eb0L6wSijqkRI8Ijx4ctAp4SIkeER49OKQYOqmpv76tX0+N1NGLXAoPl6r8lUv+Xy5dvWTNM/0Lq8SgDinRI8KjBwetAh5SokeERw8OaYbuUDXl5Zs6esyIVpHCQ/WsRAxdmKHjC+vKOPjvhYdf05WM8FhRz38vPPyarmSEx4p6vnvTDF3KSzd1+HrckSmFh0OLIweGLszQ8YXVNRqePPDw6OjKAg+Xkp488PDo6MoCD5eSa3nSDN2hRsrLN3Ws9bb77hQeDl0wdGGGji+sjrHw5YCHT0tHJng4VPTlgIdPS0cmeDhUXM+RZuhSXrqpY723nRlSeLg0wdCFGTq+sLpGw5MHHh4dXVng4VLSkwceHh1dWeDhUnItT5qhO9RIefmmjrXedt+dwsOhC4YuzNDxhdUxFr4c8PBp6cgED4eKvhzw8GnpyAQPh4rrOdIMXcpLN3Ws97YzQwoPlyYYujBDxxdW12h48sDDo6MrCzxcSnrywMOjoysLPFxKruVJM3SHGikv39Sx1tvuu1N4OHTB0IUZOr6wOsbClwMePi0dmeDhUNGXAx4+LR2Z4OFQcT1HmqFLeemmjvXedmZI4eHSBEMXZuj4wuoaDU8eeHh0dGWBh0tJTx54eHR0ZYGHS8m1PGmG7lAj5eWbOtZ62313Cg+HLhi6MEPHF1bHWPhywMOnpSMTPBwq+nLAw6elIxM8HCqu50gzdCkv3dSx3tvODCk8XJpg6MIMHV9YXaPhyQMPj46uLPBwKenJAw+Pjq4s8HApuZYnzdAdaqS8fFPHWm+7707h4dAFQxdm6PjC6hgLXw54+LR0ZIKHQ0VfDnj4tHRkgodDxfUcaYYu5aWbOtZ725khhYdLEwxdmKHjC6trNDx54OHR0ZUFHi4lPXng4dHRlQUeLiXX8qQZukONlJdv6ljrbffdKTwcumDowgwdX1gdY+HLAQ+flo5M8HCo6MsBD5+WjkzwcKi4niPN0KW8dFPHem87M6TwcGmCoQszdHxhdY2GJw88PDq6ssDDpaQnDzw8OrqywMOl5FqeNEN3qJHy8k0da73tvjuFh0MXDF2YoeMLq2MsfDng4dPSkQkeDhV9OeDh09KRCR4OFddzpBm6lJdu6ljvbWeGFB4uUumPfAAADkJJREFUTTB0YYaOL6yu0fDkgYdHR1cWeLiU9OSBh0dHVxZ4uJRcy5Nm6A41Ul6+qWOtt913p/Bw6IKhCzN0fGF1jIUvBzx8WjoywcOhoi8HPHxaOjLBw6Hieo40Q5fy0k0d673tzJDCw6UJhi7M0PGF1TUanjzw8OjoygIPl5KePPDw6OjKAg+Xkmt50gzdoUbKyzd1rPW2++4UHg5dMHRhho4vrI6x8OWAh09LRyZ4OFT05YCHT0tHJng4VFzPkWboUl66qWO9t50ZUni4NMHQhRk6vrC6RsOTBx4eHV1Z4OFS0pMHHh4dXVng4VJyLU+aoTvUSHn5po613nbfncLDoQuGLszQ8YXVMRa+HPDwaenIBA+Hir4c8PBp6cgED4eK6znSDF3KSzd1rPe2M0MKD5cmGLowQ8cXVtdoePLAw6OjKws8XEp68sDDo6MrCzxcSq7lSTN0hxopL9/Usdbb7rtTeDh0wdCFGTq+sDrGwpcDHj4tHZng4VDRlwMePi0dmeDhUHE9R5qhS3nppo713nZmSOHh0gRDF2bo+MLqGg1PHnh4dHRlgYdLSU8eeHh0dGWBh0vJtTxphu5QI+XlmzrWett9dwoPhy4YujBDxxdWx1j4csDDp6UjEzwcKvpywMOnpSMTPBwqrudIM3QpL93Usd7bzgwpPFyaYOjCDB1fWF2j4ckDD4+OrizwcCnpyQMPj46uLPBwKbmWJ83QHWqkvHxTx1pvu+9O4eHQBUMXZuj4wuoYC18OePi0dGSCh0NFXw54+LR0ZIKHQ8X1HGmGLuWlmzrWe9uZIYWHSxMMXZih4wurazQ8eeDh0dGVBR4uJT154OHR0ZUFHi4l1/KkGbpDjZSXb+pY62333Sk8HLpg6MIMHV9YHWPhywEPn5aOTPBwqOjLAQ+flo5M8HCouJ4jzdClvHRTx3pvOzOk8HBpgqELM3R8YXWNhicPPDw6urLAw6WkJw88PDq6ssDDpeRanjRDd6iR8vJNHWu97b47hYdDFwxdmKHjC6tjLHw54OHT0pEJHg4VfTng4dPSkQkeDhXXc6QZupSXbupY721nhhQeLk0wdGGGji+srtHw5IGHR0dXFni4lPTkgYdHR1cWeLiUXMuTZugONVJevqljrbfdd6fwcOiCoQszdHxhdYyFLwc8fFo6MsHDoaIvBzx8WjoywcOh4nqONEOX8tJNHeu97cyQwsOlCYYuzNDxhdU1Gp488PDo6MoCD5eSnjzw8OjoygIPl5JredIM3aFGyss3daz1tvvuFB4OXTB0YYaOL6yOsfDlgIdPS0cmeDhU9OWAh09LRyZ4OFRcz5Fm6FJeuqljvbedGVJ4uDTB0IUZOr6wukbDkwceHh1dWeDhUtKTBx4eHV1Z4OFSci1PmqE71Eh5+aaOtd52353Cw6ELhi7M0PGF1TEWvhzw8GnpyAQPh4q+HPDwaenIBA+Hius50gxdyks3daz3tjNDCg+XJhi6MEPHF1bXaHjywMOjoysLPFxKevLAw6OjKws8XEqu5UkzdIcaKS/f1LHW2+67U3g4dMHQXTF0DnHJgQIogAIogAIogAIOBb7/5nNHmlfPkfLSTR2v3jov/sAUHi8WecMfYugwdDe0C/8pCqAACqAACqDADgWmGrpDq5SXb+rY0fnXf2YKj+sVfvifLBs6iTk1/gZD9+Hdwn+JAiiAAiiAAiiwRYEfvv3izbt37/5sjqa+d7Hut3Ckj/9ijlcfKsuG7ljA5OH87KvvVjXkfhRAARRAARRAARR4qALHCd3k9y3MKGac/n3ZzK88QCyGbmUBu+/lhG43AX4+CqAACqAACqDA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width=\"18\" height=\"18\" style=\"width: 18px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e regular rectangles whose areas are less than equal to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"18\" height=\"18\" style=\"width: 18px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are listed below:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; 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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 31.5px; text-align: left; transform-origin: 444.5px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e                                    \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-26px\"\u003e\u003cimg 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\" width=\"483.5\" height=\"63\" style=\"width: 483.5px; height: 63px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv 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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 10.5px; text-align: left; transform-origin: 444.5px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAnd their total area is:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 43px; 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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 21.5px; text-align: left; transform-origin: 444.5px 21.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e                                \u003c/span\u003e\u003c/span\u003e\u003cspan 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PvN4HAOuHaFToIMozx0k1H0Sakue/dvicaq9agQeHIpMFHexuqdLXcK8k3ZTOf9Q2hxrrV550JEeyq1W4AN8KbOfw6A7MtBeU+S3sK+C/1itLDUCD68hXboJ2YSXzBHaH/Dy+JqijGW0l0wiaALwNQ91ako6/4XE1traql1o2t3xKAsgsWvLCqV/oO5J55/+S9XHJ3kHw6z+6MbFGTQcn6OjuMoJlOcnnBl9eyhSEf5JBi0biqH29vZzIyPJsqTSmIfVxwdKdOJzv4/Ik6Q6Ojq0qqQbaeePGDGiLnChw6OV1XbkqHOfn0VeWglDC1TbsGHDTg9MMfsD63eTdn2G6FzKVLVuXq4q15RV3RrdSVn8iAaSVX3ZIEfORNDt8BVcxOZe3dLSEjTE7jkmun/J130MgK/006WjAqyQ6VN4znon5FaJ21ddfJXQG4GHEIehQ4cewEO/LemU9x/SBuqivAF/Cob4q6rqlQcw1jdNHTa7Cm83IUo/ZDNIfZnvOA/4/4szx0UnTXXPQ7lY0o7rIrogOPVvznKCuD6pZwAAEABJREFUm463BP70x8R3v0kP2dcbJZ3/fPKiz6TPbbmycXT2J7dSDf4z/gdnfJJzMDxt2rRNqJz1KaWVrMAtpHHZzhH2Wp11WTDyRumJEydOwt806AoGzzuuWbPm9Zi/lA60ko6aVu508UXwUXb8hFuv034iNTp5L9Pxu3agpG2SkS8YREs6p78A05zbvUmKKgG01FX5/OG2ozyVQ1OmTNmUivhKwkrO+5a6UlkrHhhIriIPIMbFf0e/nE6ctoHeDh9OaWu/M+fVwW8ZFCkH8r6fL2fn8id7XpKzEcctlcb615hnb7HFFq5y53HgivcPCg+U63dQVi8kxRexkpS9rRjr8pTinTRpUqQMZE+sWolGS43Wcx7KuOBPAUol+HqCusq/qXRiMXEMMg/+zha3ApyRzJ6enqeRlf/ZKK1cZvjJfmDQcGIebF8Gl6PTYT6Wzx9up6T95dMagYeAP/j9LlhfwcNs6owx6IdB/gTdcdSVOluMdWGF30FvG+qZB9qA+8ibfpk9lgnRV+BpHvb/B7nPKgXg0+Y9EBgK/BF+UOpVJaMReBAfZZJ/geRmueJgMKwdgaEzcs17P8gg18lhusowJJ3/XJA1UZ/qKyiS+wFMVpe0a3GQ27NcPAzEPtH8p/vMmugva3xSCvA5B8OvvvqqVn80GBtNBfQokf7Do4wPadNg9LtRmsGJViF+yKDlRDLw7KeffvpFOgvvIQ6pO3p6enqp/BdDGhT0kOHvk0OSCDxU6auQ5yIfjlx+JB9/csIPk9fc2dnZTKdA5z0n06jszSrfgrwBIhxrzYNLEpMkPeTZw90z+tY6m4ueS/n2QT7HIhfGOAUql7uzDzzl+gNrDSL1ebL/efHFF3ehw9vpEzJ4hxf2Hc4tPTPoOUUaq86D8gt1gfKLzt/d7dLn66RsMhSoFStW7O7cqNSGBZY5/qgvlIcdjlG6HzLK3dn5Ayw/TEnmvr4+/04BfwUzZzyDyQPl7mkvIWs9c7ZxtrMgTCgbZxehD8fOYRml4xyqKPfAjneNCn3lMOCn7nkQa3S4tA1a7aXKxeHUoyto126irLwVdx//sygP22BXUIHNoLYNjcADfY2rN2zYoDtMvg9+6rOoPZuH+ULqXu0gCnHnudhdOVWvV8NEYWgEHmCjHBUOBpGhJpNyxaFyEbrRt8y5pVqeBrNO1vsGQEnnPxI66qUzKb9H4ngydWo59y4MWntGGiuuksy/+pvU0+pvlj0+KUUgkYNhBrcTyYBfpVL6JYmZHkW8xF2mhTHV70Zpwv6XzkB4njPdGd5fnon7D9LTtA6/l6sDkX5OjAYOwifflm+HxbUYcvpDPt24l6xYVr0E7PWx871ohCNXlwpFWmse/PTp3BXPuiEYLZV6/vnnNwkMhf+0vTESX/Dxt41rF0OkP14h+4wtXNhlKOKaLgsw026Jv6BnEG7hahpul0CBO/LdHbdCqggegijK5oEJLO3m2FqxULZ/79Ln67iFn5WB3z86t9WrV2+BW061Zs0aHb3Qar5wjKIbvcBR7s7uu56/so3wupzAwflPeJCZx/xqkHnwPy2Rb7D+rJfqYiYKbsK/wzJKD25NBhMNNqLcAztk/3viKaTqngc12PCqTw6K1z9Spy6UQdTd3b0UnPTJt8f1LKLcHC29EBFu0NqGTiZF650Hhyft2L/oNJ/CIGk6egek1aQzwT08Yw+2jy5duvQZF6aAXvV6Nfv9jcBDNk+FnpGJPzGWMeD1w5JPfTdNdvjO/cyDXCf3e3+xFknnPwonxiGHIe9vQudSjv07i6K857IbzPYsVxrKsk86/7SlAx6flAJ85GCYCPT9yhQNyFkk6NEows9jUKDIrJqNDczuj8x7I52BcMDMyq+/lfdu5086lX/wPpkL0cQGuk2aBns2OOXc8g0WDr978vnDLZxVJExRihmnr+LxZAZah5AOdxszVqUpwtaMhxwpvTdtv7LYCRbw+x0UKYfm5madTU5Hmboxlz/ZO09V0PMOsvU+3h9rHqhL8vLA4LMXHq6DIuUAj+7zUytz+Unb34Xf19TATME5NsrIf4qJZjB5oD4NB12k7Y1QLuVv3e/K5cnZU56XpHGMlAOdtgfllzp/bj5/uIUDQPmPokbgAbwmwJtWD9FS/SYUcX8JrLT7Se6iYDJJhnxEuEGrV3lX3fOQD0sd+cL9K5BTRztDIZ18HIt6tRF4yId1S0vLLM/93Zj9eovHjYq6WLstNj6kUgUn3AazTnaJKkdPOv/ZmLW3t++D3Q3UnZcwPjgfc1mKum3Q2rOyEpgjUNL5r9T4JAe8kdb9BsMIQdubP4zvi5SR0HOpfzkHOkg6r+keI3Uy9R5ph/kF4k17i9aK2PYSbNMjdCG9mFUSomk8RUY7HXnoEqdjmOjwzxSGzKYnHXTuLbSrE4NbgezXMa11+ulY6bbfJvRIohx90qUR+XR6/jS76Zxqpnd1dem8fmTaXVpJnHYxoKVSY8aMaXX25LOiBpRBwBj8pb+BGwxcqHP8s+gxSF0qRedJg1J3JvWDbW1tI1zCsvSwniNPxeoG3UbggTIbrlRhjvwkTGtrazjZiAz6suRT80fSXfc85AOxt7dXK/dBWcbfZ+l/lHTukDA1V43AQz4Q58+f/wL50N0IPpr+R+RxAvy4fqQWa67PF2c9uSWdf19W9E/fg5yVF37KQPgM382Z8bMZK6f6Koezahgd3pLOf03GJ0P8HKQzlqzgBNsR6ADqfKPvnG3Wrc6BHRn3nYEhzx9+9B1GXY3+2zzeCjqRPr032IqH57J1Zhj97a9EVbKKnLksOZZBDkAF8ik6ZBfx2s9S0VyN3k/hZyw4a69+rg52vzBxsOjs7GwmHfo0js7u6dIFHk0ZAqUjMHLkyBPSoWZ3d3fPSZtjozExsZrE/AQKFAPL9wWG/n8znBV1esaOHGdfK72CPNSKhdSoUaOedC+nXo3swNPRfdH5oR18ypnjojcCD7mwpGP5Gdx0/AItdSeTc0H/Rg/1QvXMQ19fX9H9JPpk4eWHlJNdI+SjT/oF/UjceqiXYzfhTboyVNL5b25uLlr+Ao5JkB2oR3V/0I2Y1Qavl71P6ufh5yfkkSm+fRzNSecfmZQkf8YeNRufZAyGX3zxxZlksmlkspvpqOS9pQ8mw625hNkhvZKCdX81fvx4rda5Ttkf+/so3oZ0aXUqcgsfDV3R9qxUDejTCgwW/a2JeS8HKp676vpk1V8XTOlmNk1KTKORvSKbyIw6z61zhlu/+uqrv6luikqLnfQfSPp+jX4qpIsRMiJYsmSJztxqBeBO5KuZxQx3ezAEhAB5aCr5fg56N/nogvQWRDkFhNvbMQSTZdSFJ2KOpWJwq9uL3erw2e5TMi6xU6ZMeQN1c/BZKPi4kM7jUucWF73eeZg7d+4asLwFkjqOFfp+36QmP4Xn6PE0oPaP8GlVOa0ReMhGQ2WB8n0p+V+rwmrv7li3bp0+r9Svc50dNi7PjcADg4HXe3iGOxA8O9+oCfjglm/qq7OnTp2q3X2hO/JUXezs9OnE2Msy6fxT5twREskxbz+Zwe9b6Fe77fKv0p+7nLozo49KHriBvp3u8PgweeQqRRpnSjr/yLPocRJ9sZqOT9xguIlMdhSZS+dIlbeWdW5cZZO5H9F5bMUyYwvtiBEjgts0se+nhg0bFl4AtGrVKm3v6+enniwQ2k40spq1csk+nI7npu4hjjqVygeRrxqbIHlKfxTh+H5I6vvpC6lkjgWR/u+TEFWCulzq38jhCN20DL2N/HsR/FyMnzsYxOt2V7yaMgQiEdiNvKLbZSeTX87s7e19irx0EPloCvlIM5PqkI3Gz84LFiz4W2QMMbBkYrCb1RQda9GAeMbw4cOvg4fgZn9NQNIQuyMQd5Jc/9wqj/FQjcADMtDqY3CxWGtr660TJkwIjw0hj+nko+CzYOS1C8lP98cD+cxU1AUPmUmOfFK/hU71e+lz6JN4n017+gq470/nOnIbe9pPbLRG4EFg0k/chDrI9SllNVr9EBmiaNGiRauYHDsYN12M1bZ27drLKEub89xE/aw+5GWYU5Sn01j48C9UlHXsKOn8I+sJDIa+4Almb/rJHd5zaETOk/GrgbCb7PgEcj4hmwigcYf8zGdyN9ZjiaTzT5ktepwEVjUfnwSDYRKi2dPwc0nKgMy+rKUh77cNgc7iV+g8aouezhWTNzcqGvrzcFumCmCjzWv/NLRuC9/tzzzzTHApzWuu9WOikd0XHl+G179mpXovKv2XcJsHllpVynKu7aO2vyNTdwFRUYlBZj8ryuMgegL3b3qva+P5etK5DHoQ/rbH7UA6PR+M2yCedBWrVnkeVca8x7ox9rqUjh49eoMzx0lnwKJJIX+LnfLSzeQjnam9krz0fehNdM58P3FiIUzL4sWLHyWte2MxH/1geFhCPbQUHl/AbhfKyPnUW/tRLvJ+ggS/NVP1zgPp/w8d9z3A+mZksAMd+iclAxHy0GTKJtgfQ4fPv8SpZnhHvbjeeSCPvwW8L4eP5XSq9f3zkcjjwr6+vvEMnPR953VRfMfJLoqHeuPB4Yks7qKfqEm6Y52ddMrBbbgtgy7XczYxOaYdiR/A/j78Hk1ZWo7fJeCggZLiO4N6+Xu4x1qR5sTy397e/kb4X4r8FkOadHay2pJ+chdu3ZCOODr7FHLWRIe/ihy6RRmIV2OWWPYvks4/9VhJ46S4jE+CwTAdpc/QYPS7GIeZl363j+Lv61A/v2m7sXPnzv1vdualIgs+qYR9XW9dpaG9Az43hXLxPxUsK3k5h7bgAdvA1Jw5c9bmSXMkL/CqT6cM7MUbQ1eEB0UFtldQaU6hIjwIOoZ8tRed0DZ422zRokV7ouvbsBWtIIl/0LZiwd/18BDIA34qNhAbTB5I//FQwMOsWbMqeVlQxeQwb968laRxZzrNbycP7a+8xKDlA+Stt61evXoU2M+EdFRA2a6SVDEe/ESR1ofgR+dVt4ePQ+Dpi+KFRqmFPHVuJeUAVlUZVNQ7Dz09PU+D9SEafIG/Jn9nop+APKaNGDFiK/i7upJyQP4Vq1eJK1A9PfXLA/l9PHlzJZgfr3JNeZiAPM4s4RNKAQal/FW6Xm0EHhx+4L83FLQDEfpY7E5xfrP0FG7zoN1UdnA7EDoL2h181NbrvhMeK6aqUieT/sTyT133LPxvBeWSfwdu4eKbJMnzflAu//3secelCjdQos6oeHtG2hLNP2OHksZJNR6fhFkoGAyHT1UwMAM0lWjbIN3+d490o+IQoPLvpHGfQeP+u+JCxM9XpXlg5ribyuYW6Go6O3/q6enR9wkrOgD2UaRg6xM220sOdH6W+G71Ym4EHsD+N5IBHSRtl6sI9Ez2PUEeuk15CYzuIG89Wc2dK9XgwQNiA52Jx+DjZni6XrxUePAVvIryfJbkgO5vfwzcKvBX9zxo8AX+dyOLa9FvRx5PMUFc8YEr+FetbcvcpZwAABAASURBVKhHHsD6T5TjmejXq1yTF6vWJhB3oJBtRdsG0l73PATAVOgPfJ+iHN0K6ZN791KnvVyhqMNoqlwnh+/Jb4h2TTr/0ahU1pZ6tJrtWWUTW4XYks6/D2nVB8PMvHzRvZBVl25nNr0wAlT+3TSQf6Nxf66w73j6aAQeaIwfkxx6enrCLcDxRDt3quqdB2EvGdBB0FnA3IzG2KUReKA8Py85oNdtXU7aG4EHaxtiUNbrvV4VhI3Ag/gohxqhTi6HbxemZvy7BNRYb4S2YCAQJp1/H7uqDYYnTpy47+TJk59kFeGT7oUtLS33sFKcc3uM82e6IWAIGAKGgCFgCBgChoAhYAgYAvWOgKU/3ghUbTDMCs4drCC8lVlHf7//jjxHXpwQb5gsdYaAIWAIGAKGgCFgCBgChoAhYAgYAgUQqCvnqg2G6woFS6whYAgYAoaAIWAIGAKGgCFgCBgChkCiEKjMYDhRkBmzhoAhYAgYAoaAIWAIGAKGgCFgCBgC9Y6ADYbLlKAFMwQMAUPAEDAEDAFDwBAwBAwBQ8AQqF8EbDBcv7Ib7JTb+wwBQ8AQMAQMAUPAEDAEDAFDwBBoGARsMNwwojRGKo+AxWgIGAKGgCFgCBgChoAhYAgYAo2KgA2GG1WyxpchUA4CFsYQMAQMAUPAEDAEDAFDwBBICAI2GE6IoI1NQ8AQiEbAbA0BQ8AQMAQMAUPAEDAEkomADYaTKXfj2hAwBJKLgHFuCBgChoAhYAgYAoaAIQACNhgGBFOGgCFgCBgCjYyA8WYIGAKGgCFgCBgChkB/BGww3B8TszEEDAFDwBAwBOobAUu9IWAIGAKGgCFgCBREwAbDBSEyD4aAIWAIGAKGgCEQdwQsfYaAIWAIGAKGQKkI2GC4VMTMvyFgCBgChoAhYAgYArVHwFJgCBgChoAhMEAEbDA8QAAtuCFgCBgChoAhYAgYAobAYCBg7zAEDAFDoLII2GC4snhabIaAIWAIGAKGgCFgCBgChkBlELBYDAFDoKoI2GC4qvBa5IaAIWAIGAKGgCFgCBgChoAhUCwC5s8QGEwEbDA8mGjbuwwBQ8AQMAQMAUPAEDAEDAFDwBB4DQEz1RABGwzXEHx7tSFgCBgChoAhYAgYAoaAIWAIGALJQiA+3NpgOD6ysJQYAoaAIWAIGAKGgCFgCBgChoAhYAgMEgKDNhgeJH7sNYaAIWAIGAKGgCFgCBgChoAhYAgYAoZAQQRsMFwQorI9WEBDwBAwBAwBQ8AQMAQMAUPAEDAEDIGYImCD4ZgKpj6TZak2BAwBQ8AQMAQMAUPAEDAEDAFDoD4QsMFwfcjJUhlXBCxdhoAhYAgYAoaAIWAIGAKGgCFQlwjYYLjOxDZlypS2SZMmfWPChAmbF5t0/G8LbZdNHR0du2D3h/b29p2KjavW/kjvjqT3nGLTMXbs2FGE6ce77CZOnLgv+rxp06a1Fhtfrf2R3pL4z07v9OnTWyZPnvweMPwS+s+I76/o78v2l++5hm5DSO+h0MfKTQPlZ1PC7w/PX0X/NfRYW1vbmHLjG+RwieZfZZl8eyoy27FI3JvwvzuyPpEwF6F/C/1YaGyR4WPlLen8U3ZLavso1yOQ9QHQ56HLyAvnoB8m+1gJNk9iSO9E6DDy7nnQhZhV/03ME8R3aqKNey/hziTcZdCn6TdM9j3E3Uz634Hcjibt30aX/PZGfkXV1/gfTrjD0M+FLsZ86Pjx47eIO89++pLOv4+F8i5yPJr8rHr8fPT96MNu6fspxkw+KKkPVan3FpM287MRAeV75HQbdEM5Mt4YS2n/NhguDa+a+d5qq63GUfgvWbdu3VISMXPIkCGboRdUVB6deHoM+kc2rV+//n7s1Nj8DT3WKl04biWRDzc1NX0avSg1YsSIz+OxH++yA8Pfoz88d+7cNeixVuXy75iiUhlLXrh4+fLlL27YsOE+MPwk+lL0zy5YsODPzl9M9SGk/SDy/z9J342Q8jRa8Qr+tyX8/1J+XiLUrfC+B/Tg0KFDD+np6VmOXT5Va7dE8z9u3LiRyP9zI0eO/A/59RKEsTWUV+F/J+T9N/zPQs5H4nkT9B3Qr4KeJT+cjF4XKun8l9P2Id+Pt7S0LELAt0C7Q8PJCx9Cv0H2uO+GObaqs7OzmTz8RRIoHm4g754D6Vn13yLy9hW4DYUilQZ98PgwbdyfCXcanjaHLqK+68b+L0wsbMpzbBUDkM1J5zWk/9GmpqafkdAvoJ+HfifyexG3ozDnVOAzA//P4eEG9EOgCZhvbG1tfYGwF2FugmKrks6/L5jpTOAjs68p7yLHn5Gfv4T72ei/W79+/TLKyYE8F1Sl9qEq9d6CCTMP/RCg3H8Nyw9ChyHjvGUdPxVRNhiuCIzVi4SC/kYqgm83Nzc/TeE/tdQ3kanUgOYMRpwXzZo1qy+nhxo7wHswiIGPR0nK/lDRSispVJ5n5AsA/z/M515rt4Hw79JOx+AYzM+ChTpFo+H5mIULF06FzmEgPBu39VAcVRNp/yA0m7TfTLqnlZrIdIN2GeEeI/zB6AvQd4b33RYtWnRpV1dXN3ZxVTXkv/aQsAKklb2Thg0bthD5f48UjYYKKsrMVPzfhZx3QD8UWb8HOh7aG7v3piO4nHz10bQ5llrS+S+37SPc4Qj059AIaBvkfgB0HLQ9+eEs7LSadBsDwrdijqVavHjxxaT1wlyJIx+fQP69TvVbth/sN6PM3IX9DOh2BgHj4f0oJoZfT7g/Y9fJpODvp06dWlR5wv+gKvHEwGcWL83XCb6Gch45oQX/b4fPuwk/Ggxnwvt20KF9fX3jsVsJnU4eie2AOOn8I58MtWLFim9j8RWoB/oJdB8UKmT8W1YP3x1aZBnIJ2X1IQf63qxk2GNpCKxy3pHvM85cTd0Gw9VEtzJxq9L+P6L6MFSSUiVAo7Avge4kQ83MJuyPW7NmzffRY6kmTJiwOem/BNIK7tmlJnLUqFGfIIwaxB9l865n4j140aJFD+Enlmqg/MOUttV+DT7/B7PUA8yyTYbnq/UQd6JTo9Xbj5P+C0irVkTQild0djelQdPK0CnpUFfSIdwO/mMr83Q6Ay3p/DMBeArldApgaCfIfPSiFGGUX9TRv4XJnt/4gZC9Voq1uizrmfoLKWaGpPOPOMpp+4Yi/ysJK/VlBkHzZEjTBvKDOtaP8zyauvBT6LFTtNtatVad9Ti87MrAcDgrmptSD3byrEnhIM08H0H9plXv4Nn9YX8jpF0Qsjpp1qyNk93aAQXPKkuy32X16tU/kiFutHz5ck3gb0u6boA0mdHMZPhYeNfxGK32Yh2oy7MH9FoRh/c/4ap2/1Ha0O9gDtTSpUvVqT5WD8R1GjjHUv5J51/yccREzr7I81To3DFjxkymPGtSczfk9zr8/BQKFO4HBIasP+RfVh9yoO/NSoY9lo7ASch4JnL9yOabb35TruCU4bO1iyaXeyn2NhguBa08frWVC8HcJWKWaqs8XktyovP2USqAb0IaDKgRLzo8mUkrgSkawM/QCbggm4jzymeeeebVoiPM4xG+94bEvxqwPD6Ld1qyZMkK+N+TdF7FTPYPig+ZSqmAUJC0CrCACvGUbN71TNy/LSXOfH7hPVb8K62k6TPomlFFS/WAx36sOCzUQ6WJd30BuosBnDCvSPTI6G5kfzh0E3n5mlIjJd9fDc+aDFLQG4nneDqE/9VDpQneE80/cr8eDCR/bW2qCLyUz2+TB05DbjoeoUmNYuJtQubuDHxXVADy0t9lj79p6jzLPFCqV/4rwX+c2j4mwLZBlpoIQUtpi3Eq67ceuQfHgtD3yHIr67EK/Gs3U09LS8ue5P/7u7q6Vs+bN28l5eEe6rRdSGQ4McRzBg+UQQ0i98KP1E8pO4tlcESbqp0xweQo5eBI8GpzbuXqvLNibZ9WRUmHtsH+jrR/BNJkxrru7u7nwOIXuGmiAG2jYkAvPDY+8M+kwRFoWvlPId9L3EQAdoEiPvWj3IBaOA94u3TS+Q+ArdLfkCFDTiOfXkjeP3/OnDlr3WvICy+tXbtWkyaBFbLuNykkB/J7WX3Igb5X7zYqHwHK6TJkfAFy/5Uvdz/G9vb2o3k+f/78+RW588cGw6BZCTVs2DBtyVIjtBcN1MhKxBkRh847Rlj3t6JzNoEKQpnlIVZIn+/vo+I2byRG8b8PesUVjVxJg3YGfdoSq4b+5oonJjrCWPFPRdFOMsNVfyr3g6hYtMMA68orGixtYd6LPCe94i9gMuSVUiIl/3+ItCgPKJgmAo7DsAGqiko6/2CtTrnkr3JQcYyJv6hJjHHjxqkedoOh6VEJIa43OXtW3SpyRIA4E8t/nNo+2t5QtshYA0O0DJWirGq7bKblAJ4qyT/5V32H/eHjs3TyXshOFnW4tg+6CU7x4iZ+nNePOwP6vVCUCreZ9vX1fTLKQ4l2KvMVaftZFd2Zd48mXSeg9yubdJI1OA7bNWS5K/58pXo+eKZs/zUwZP0RRjvNZLs1K4Al3z+hgFmUdP6z4KjMIxM1w4hpIWXhq+j9FO4vO0vq3wXOnEsvtg9JvBV9b670mH35CDABtR3l+Gflx9A/pA2G+2PSEDZUDu48zU69vb0rGRzMIQOdT+X/loZgMD8TlJOmM9NePs/AeC2Dw7vh/ySoLm+STfNSrCb+wy1w5IWvMrM+p9jA9e6vra1tDDyHFSUTAZ+gE1m1iYC44ZVk/tM7XXQuUGLppLzvLUMWvT/9vEArB2lzQ2hJ559BlLbCOll+iXpfAxX3nKJsaLIkkD+V5IOhQ0wMrAbrpujbabO0GyJXqvwdYuucp87OzmbM4WCQei/NH7aewv4B9wgGJzlzHHTq7XGk42vpLc0YI5UuxHQOIf+UdU1+iOT2HCvque6DCCcJwEL3ach/LCjp/PtCQH6rmfw4nrZbE0C+U2CmjLijAJoU+kNgWYG/Wr03KunaKUGf/U3ZxwGi/Pp2HR0dW06YMEGX5oXW6fph0Md8UXVwtl2YyCyD0ozf1/nW4KExzG2+XT5zsRgOOjD5Em1ulUEgXQi+4MdGJauK42wq/7k0Gr/eeuutX++7N5KZiuC9aX5Dtmj09+BBM8q6SfZsFRCeG1IhX10MFHT4xCAy/yX6UGY89WkS6tV4XpxCGiui6FDqXKBbHXyOiYBZ8D4M6hDV06e0ygEk6fyDmS5ZQQvUndQH4VZKGtZ90nWBHINjJDI0GCWWfyY35iJLN1jUudF7tI0Zu0BRNtwxjpXr1q1TPRHYx+WPDv5TDAD2Iz3hIA9zhqJtW+1Z/NuZ4V0DSVfvpaj3IgeDCxYs8I8P9Os0u/hqoTPw+RX8F/p0Ysg/ZTk89oP5tQvRUqngKEQUD6w0PuXss8I465rpSee/FOCRnW6H10D4DvKMttCXErxsv4PxXgZ876Uf99fly5evof/2zJo1a15OL2j9Bf2dUYmnbduGMFdDS8njy4YOHbqWnCbLAAAQAElEQVQcs8Kdh9sR1C3z0P2dI1HRBHaE05GnJ3lXQDyHxx9J277O3um4Z9Sl2L8ZOg2aA17/IdIm3r0P/v5AHfyq7DAvg6LOeuvi0Bm4XUSal8N/2E4Tx048P0x82vWJlkoNGzbsn7wnSCf9u/CWfNJZEoY2GA7gbKw/CoK2WulsTK6tIx9eu3bt38lsYxuL843csDqg7bB38uTOBmHMUOdTydyoWacM28Z5CFcHYOk5Ok8nI+s+On/6LNe/VLHynPcGRsLVpdIN4iQ8uCQFXefGnqCivA3eV0Fdot7e3hewu4KKM6xQ5bcRKOn8S4bI+Bvo/rnK+2lE9Y1SXcpxB25aOT6ADlS+1Te81adKOv90lvytv1s3Nzf/i/ruKOhyJKqLGJU3ZtDRCgdS2NeNoiMZ3kmCObz3gnbf3yKuPK52MIov2cs9cKNzWtFt40Gk1f3T6nnwBvoxaucDM+1cyAe4rAgsI/7IDyHvhHlzhJe4W0XyDy9J4T9Fff4l+NWZ4T9S3nUcqt+W+moIcTDeyzs04Psz6W+jTO9AOzUUHt/O83CoE77HoGco6rbDyPOa5PkEDt8j3HSeNal2B/7PwXw99pPRh6IXVPg7jHC/gKaJeO5wgag37+JZxyEfkZuI57BOUt8Ku/nQxZAW4VKk78v4UdsbLtIQn87238Jk9dswBwreD8JvF+EeweJ0KJzcw5wCB00SakIz7NsT7w/w/0MRfoKJMuIpGUMbDINeo6menp6nKUAfhjpWr149Cv62J6Pou4QYQ6WBwO94Kqpw4K9uFIX1L/C+DzSWjqG2zKoCUeXi83AgM+lf9y0awZzeFeCfo1KFo+8satv0dfCozxOgpQ6kwnyAiiuYXZVFI9Dw4cMzLlihotSN1NoFoV0BuoRJHSF9XuoE8sYc8KrKGedaYZl0/oU75XoFjaYu8nJ5XasH+kap8sBs3KZQN6juk/eGo6Tzz4qoViPUEXSyVYdKF/CdTDt4CSsm2yJ/nT117nWlU6cpbyvNz5GXb5chTf6W8OfTdrm00J16UH2BXP5iZw//h6QTdYO/nRrZamU8cKJtyzkYxoN/98roqTH9xBTpjFS14p8Bxi8YqLw8UKLP8Z5IxoqwZLXvLbz/WjD4ViqVUoi9yL/fYWJb53z1XBUazPfCm1sJ/TF9We1wWE+d9gT5+yNiDl1HPWQMCDx0FChYuSXsrtRtWlF9dMGCBbdjVphw4BgEKOKPsLqgTH3GKN+60E4LK5GX2lInnUodGw6O0xHoqyYnMHk1krI5GTst1qGlggt+AwN/LGTNhr+PwocGzthkKtI1G55+gHvYtq9atepHshNpi7tC4F4Shgpjg2Gh0MCkM2RkkscWLVp0IplUs0v6fp/jeAYV00HuoRF1dQzh/R5oTwqIOkhhIaLQfamtrS2cTW0E/pHxVJ8PeL5anySgEvkM+eAoKvVJ2IWVHBjc1Ehb5uE/nGVM46Dvi+4I76dAB1FJa4bTfVppS57DzzOk/de1lnT+nfDoPHTRsL6L57C8Y5aaQZ5vqAkgMZVNSeef+u52ykK4Pd7hQ933UTrPO7rnetNpr0aQf90510+7zl+aD3+n14tpu0gNHMI7FDBrsjDSX9ws6fhvB//BahPy1W3QYRJ59lfG/QFv6EcG6oWMy/joTBv/AqYAkU82w4smlgZElL8W4ilZ0Vf9GTLWMQh9YssPfwoDrKt9i0qaa/De7dPpzxhQ0n95PJVKaSdEOBhOH/fTjhcFuZZ6734ZPNKK+a+856KNYBp5VttFQDmKvNRWdRKkdtcdV9Fk9Pvog/+4p6enlwH+QvpdWt11UWlcEphxfxp/D/HuYHAfWJb3VzSGLnobDDskEqDTQXpixIgR+8OqtomhpVI0LK5hDZ4b+Y+KQh0k96mdgNWWlhZ9iiEwN8IfDdYbfD5eeeWVk/2r6WfNmtUHDifiJ8wDa9as0TNWDaH8DuF9NCDum6MBc1TSzzM7eWjwsPFvp/b29krcKJqKyS/p/IdioMHVeaR+q17UeT+kU/1jPA74syrEEVuVZP7Tg8ajIoSjnTL3Iv8otwjv8bJqbm7W1lDx8HPqtoxt/tT9vS61mAvt+NKWy8A75UEXbwXmmP+pvxp0/OHvk/RntDoVJpkOdNg5Z9CUs2zjpm3iYTgwLYRV6LfGhpryD+ZajdWZ0wERg+HHysTxVMJ2IL9dyLOX+HHwfARlOmNXmO8+QPOgvhec3Vn/4+Bppn+cjzx+Ie5aLQ5YWr58ufqvW+sBDCIn9rHX9ml5GWxa7l6IzMKBseyon/1PvvVbkMJ/uHMlpQAlEhgVjaGLWoXLmU0vgAAZUwe+I7eJUEjDDEo0s/Eb6U/2uOesqHGrqpo7d65mRdVJdO8p6swMK4rvUNpzEZH9HJIanctP2n6gMz56R9lEA6rtJv4EQHj+Jl+kdcS/Zm8dK48vW7Ys6pNE6gwEnQp5pOJ4t/R8xOzoiWn5ReZrKtyj0+E/ls8fbqek/VVLe50XsVsB9qxSKc0+wrP/yS2tIGb4yX5IOv9MGOTdIgde6qCjpa5CxpF5JG0/KKtyvOu7yFhHQ2ZTN+uM1WEkTlvk0QJ1HDzpbHHwUOgPv4nmHzzrpu2bNm3aJkxy/p466QTywI/QtZp6bpaMr6FMu+3GWU79H+PAP2nYFn70mZkH4EmfHspIKHZhBxKzXw9m+NMD7v5geJnsclFc2j7K4KdJ465g8G0mdMOvBWDnlM+H3w4690Cno62VzcCsP7AIcdNzNiWdf4cHmN/PBMy1AyXa33CQ5OIuRuf9Ly1ZsmQBfbgHWT08HbnpM1zhpD5xVGXHz2C/F750vhd2AvUNeH6YumqGnlhV1RFA/4jHTrIXManjBoB6jDVpUcZLYEW+E+zFp0W+UjAMgsZpMBwkKOZ/6vCpIs1FLvm53J2981cTncpMhcnN1Phbi3Kmh1UGzR679Efpftgod2eXt5H2I6mWua+vz59R91fScr6yXvino/Csx0RwmYD3HBrpEPiTN/4tnKGfLIM6T06GUbrvPco9sCN9OsPu+62omfif9iJc65mzjbOdBWF0hsU95tITzT8YqXMZyBCAonSsQxXlHtiR71SPhB6rYaDjoE7R5xU3M+mH05lYQZ13E+9WPvflfhYd7G3krxAlnX/wqZu2r7e395ukV7s9Hh8+fPjn6Divgs7HTitH4fm5DRs2/IiBc7EdsZryz4BM7bTOB8+nLToYfvptYYSfkDd4zdghxHO28t39QWS2vxTvU5kNyi+OUTrWoYpyd3Zlt/2U090pgzrecyODk5nh2zINIR9goQmwTNfXnlSXhU/El3NLtTwlnX9hEEeiDGg7rT8ppE/uVD2p1X4vbdW1MKH7LdBSGtjtQH5+hDLwQ9q2jLyLh+0gp/JO6jhPSdBLxDCAxAbDAQxF/2lFNXKLCJn1XC8W3VgZ6Q8/stfKXCqV4ql2SteT6+1FFaA1a9Y8gWdtLVP6oyg8EI+/KHdn913ca6rSM5M606CzDEXNUtYL/+RDf+uYOlCRWOPP7zhlV7BRYW7C0skwSp+Pu/B8FD3KPbDjvb/HvZrK336Tb6LDnzQoppOWaP7piOoCqkCGCC9KxzpQasij3AM7BqdVnb3u7OxsJo/9MEhJKvVHZtLDG4NZUVgKH3vh5iYCdTvl0TwXVIRLNP8AVBdtH51FnT8Ldp8gs1/NnTt3DWkPFB2k+7B7X/Cw8a/tlVde2XOjseB/zfhnwL4JEzm3KIXo79NRD5kjSJ8wcdYagObq38le7oFfyqRfFwZ2/l+t2z5WxKciN114dycD06NIm26URctU+PEnQnO2adQPvluuL26EkSed/xCIGBqQ+V9dsjBv4czV1nlXVd9LXfU5eDgZChXv/Ax594msSz/dd7VTLPLk7O+FkSTIUAKGASqqFAOD/RVGAHB/B0VuE2lubva/c3ZjLn+yL/ymQfHhZpb9BiTnixlA9pL266BI/gnoPoK9MpefwH7hwrvwGwcVnC+iI+B3IHKmq174X716tT8Y1nnJyDJOxepPyPwrJ+NpB2bPl6TlFyl/4ntQXqms5+bzh1s4EJH/StO6devCwQ9x+7er8pih/KMKXRkuEQ/G/wLd4hgpe2SqAbCbXLlHz3koXL2JgHnAVshpApFoFQ8t1W+bPO4vkUcvkGOagvNWaXNOjXCJ5h951kXbh2y394QY7gJwdsjxn9RVWmEMrBhc6kK9wJzvr1b8t7e3D2el+39J2zakew9N6GCOVEz8/Ac/mowM3Ok0R+56YJXZv2Rxvn8jcxAw66+WbR8D4Ykk517o8VdfffVDTATk3O3U0tLiXw6qoz9+HU8UGxVtvnaIbHxIpQpOziadfwcUeTHvURFkle94TOjGhFXZt0m7tDidVdpVlPk/6xm5FuzHyF8laBDeu5465wfUT2+mTPtHutqYEPKfw8Us/BXVllWC/zqJo1gMA3YiO8qBi/01OgLBjYxUJGpoG53XDP7S32INKg4qFm09y3Cv9MNgxqfbw3lfsIqAnqIBizyjidw3l7uISvRJ6Y1AdIg0KHdnQz/Y1tYW3ryYxd/r3DNY/NuZ611POv/k5XDVB3Pk51VaW1v/5OSM7PucuRF0eE40/8gw5B9zeGMy5lAh83AABF66bTV0i5Ohs7Ozmc7wL0mTzgXuykA+sp6ijj+CAe478KctleHNsbRt/W7Tlh94Dj+9hznq7K281ZzgSStdGug8yyTn/jnuvwi+YcoAa7P58+e/AD/ukyyjCR85GYCfPRxz4OufLXTWsdBJf6z4BzeVLe0oGBAhy5ZKAky6gtvAkeU/Kxlvobiq9V4mFR7p6OgIJnSZ/Oqi3OvTmLr41iVpa9yn6IE06MijjCr7qicCs/8HLpGTQr6fQmbqTB2VyPBG/dLPLsNDDR9KwdAl0wbDDon60CsiLzKKBkhBQ7l27Vqt6sSe+76+vgEXaMfkyJEj3TmT2VQ2c5x9nPUS+Q9vFaSy9G9ODllkFjXoPKUttAUtbayIVvFImpubi5J/euXgJy4BDA79bZHOWnpwIYUMVOp3S48zJZ1/ZFOU/EeNGhVO7NCAR3aG6TSHn52hfNTqpk1YKkklnf+i2j5k7q8GR14OSd0XHJFJox8c70ib46QNYaX3Kvg5mM7sPqwSRd7Ay0B4J/Lw9dRzLyvx+A1XjbAPB31yc4R9uDWcgcmvnX2cdCYxx1Ava9JKk1V769x/VProy2hL/AkMGHQxqL5ZGl7QCZ/hoN8LOxRM3cVpPbT//XaPeH5rZowj/+D5LQAJjrsMRCfPReZl4ixZMWEwiUDBVmHkmndip8Q+FNHmVqW8N3csOV02o47St4NDD+Rv7bwU9oEd7u589COBBX/I54wpU6b4dwFgm1KZCAbWwUMJf29605v8O1e2VZ7MCh7uMAH7XIsOWUGKfgzbO+IOzS40duFRiWHDhmlyxjk5vRQMgzBFNTCBT/uLAwKavszQtgAADApJREFUKQzSQcaP/Mj4tGnTWmkgboOWMVt6PY1lexAg/TdhwoTNCatbVjWTdPzTTz8ddgzTXmKpMRgIZv/SidMMZdqYqcH3VPieg94N7xeAxya+D9x0puxc2YFD3XxSqFj+xdeYMWP+AG9uu9xx8JzdKRyC+6fkF5pNRRt2oHiOpaIB9Sv0yLzvEk4nSvnbrQ6fPW7cuJHOTboaDCpTfZJAZ5wvpEPkby2XlzKoukGSzj+dfH/Le075p8+Iup0Rx9GA9/tsA+UhmAhMS+yPaT3WWtL5RzgF2z78pLbYYgvVe67sn4Fdv8/mgKX7vN5KOshz8BM31UT7dSmJ+gT0HHXVUeTZK3zC/cfQI9TjOrv4RyYBg7P41GVd2H2bcGrfwxVjPYuI453oH4akvs+A2z9WIrua09SpU0czuP8DfE8jMYvh56ukO4N/nn8G/+L5Mtx1R4DrHGtl/AHCqW4/W3HJ7IgwavNd5/l07GO3M0BpjiP/9BMG/TZp5Hwm/bhfoB+CrDKUdk7Q1l8kS/LAWUwY5T2CU0ofivdV7L1KX6kkfsSfHw678EgfZSNYBV+zZo3/6cjRDJL/QB4PLtXSDkjMnyZccJmkH1cxZn2Sk7B3OL/kyTNdX4rJgIOxDxddMO+hsQV6qAi7qXsgXRmDZRdP2j2qP+/KqMpxaE77l/aM/tKkixG1Q2Rb+D0pbadwZxWDofNvg2GHRLz1oVQIx5NE/9bbj2ULGvfUK6+8ojNQmvnckgJzBBlyIWFPZQDQQUbZn8rjIey1RfrkRYsWhStoChtX0oCWwYA+KeGSOJrKSjy6Z1/fLc3fZHg/s7e39yn4P0jbSuD/U7ipoRyNvjOV+9/8gHE1l8h/SpUYlaS7KEi8/oHKSyvBTeSDYWCnBkQrowvID/rMlH9+OHYwkN4JdGC/4CVsb/hQPvesXjOqY0jlq9tk1SmeMXz48OuQ/1byMX78+C3IS27wrw/Y++dH5SV2FFv+Bwkpyu9OlNcTvNcdjvzDhtazD4zI/jMYghW/1tbWW2mk1anGKpUiH0wnruAzcNQPF1IH3B84xPgv4fwX3fZJhKr7kOsHZEbOO4DdNch/cz2LeNYkWPBJLfx9JNeKo/zWiminvs673eU5asdPgJcMwv04SHU4WsrvEKfI0zPhLajjqDevpu7X6lkKHCbj2eX9m7E/jedYKSavRqxevfq3JMrxtlc27+nno/EjflK0dddgDhR9mlW0aeqo62KstrVr114G35J/E7LfHU+XQZooOI3Bk3/pp6xrTknn3xcA5WAisr6AvHwk+m94vhfaVW049fi7mci5DfuDcT+fPK9Vaz94hrmUPhTvqNh7MxJRwgN8TYO/Hyg/KBhp0mWgmrzR40/I54tk6Onp0Z0/urBXj8rX6tv/A/8bRo4cqd0S6uOXfU8L6fCPEX6BVdhniftl6hUdrwzvXuDloyl3y+mrBHUK+psJq7TglNLqdMZkBn2ywwOHjX860hD6pW0fRlh9ESJwxXwAOGTcDo/M/R0dN5Cmv+D5ftr+cJBMuKIwJFygbDAcwBDfPyrwcxB0H8L3M54S/BUKy3LcMracYKdtf5oplZ+ACHsJAwBdEnQrGUQDwO1oCH4QOMb8D/7uYkCrQc2xflLhI1j9xj38Xq7c6fxqZtgvKG3wfzOFROetriTc96E3UZn4fhQ0lgR/JfHvmOjp6VlOhaUBsQZ8kzE/SlwvkQ904cSp+PsN5ncycAy3lWIXK0XefyNpXoq8FkNhZUkityTtXbh1Q+HWIexDRTl4lDDaajQf/WDkvwS/S8kfL+BpF/LE+XQG96MRzftZDfzWTCWdf+SzLzJ7GVn9NUsIeyH/l3CbR6OrnR4Zzsj+P3SC9yDczch+BxrpJ/G7VEQ+UP23CfbH0En+SkbAIh4G00vS+Sf/l9T2OdlQpu+nvtMlPbPJA0cif7WT85C/8pLOiGor9e748zt6LnhNdfKzBoG5Ph0UlbaV5OXsYy7rmBQ/Ct6vJsC2YLEA3rvBoRu/02TPAPKjs2bN0hZkvMRHUT9/hvRFbu/OkcpbaOs0IAidadN0qZAmRO6D36PhW/JfQry6YEt9iTNo/78XBoiRIen8+6Kgj6ovQ/gTFtr2fi8YvUA9fjPyXIG+A+X4XD9ctpm8X1IfqlLvzU5Hic+azDmO1Vjt8NTulWfJy9rR8k103TQdRkd6NXmmXTDK26E9Bu162gb/12EuS9EG/ZiAOoqAFiit0qrP9HHiPSewSaV6MGux6l3I4jLwnslzMBmddtcq7SXYL6VOH46uccj/ODfp1FFzcLsYt+/Stqv8hoNh3CeDw4u4h+MaJsyuRP5zcXNqOoYTafuDSUDMUkVjKM82GBYKFSA6X1XZbrNo0aLzyexNOWhT7IMtET4L2J1E5tKtqu/HXplWg4HppHEL4vso7mXPFBFfLlUV/knr3lAu/sfi5hfU1Lx581ZitzP8v53Csj+F8hgqzA/QIL6NAjQK/mdCeT8lkYvBAvax4N9PY3d393NgsQ/8a5V8P9xOAo+dhQP2h1ZyVYR41xF/RZXkRDq3gnLJvwO3cFUg++WEfwh3nRvdHgx0CcUXlQ+o4FuotM+tZGcw6fyDffgJG8wVUTRsdyA/1XG55D8VOQbbxbJfqA4ybof09fWNpx7QuXGtlp1APpg2YsSIrcgbV1dS/ry/UfmHtfyKdqUqdR8yKrntcyml7nuAvLMj5fItyF913zfQD+Z5EvY7Qbqh2HkfkF5J/smzurU8V36Pst8UnNyXIUI+dNkUcR2j/I+l+gH6NNj79Sx7ykcv9pVSFZM/absY2UTxmcvuoCgmiGMetJvKO+4HQmdBu1P/t2GvnVE8Vkwlnf+KAZkdEbI6nL6ctvYfhttRmHdhsDQG+7HklY/QRvwd+7wKvyX1IRUZYQb8XsVTDsHjrry/g3ZKx4HeQx7WNud3vfrqq5tg/+Wo8o79RWPGjNmCsLtA71RY7MR3eMFWOWlRG0k8wQISded7ifvNPKtPdi3pWE3aduB5Aubz0HV+eR36N6Go8qp2dxVuB0D93InjdOzPgCLbfNx1xCFgQ8c7ScsO1OmaPNTi3usIFw76cSsZQxsMB9AO/I9CqbM320s4NI5LBh7jwGKgM7CUzHEXpEz7W9L3KA1gUd/ULefN8Pwb8U7h0FakcqKoaBj4f4LK8jYK0NXwfgezxU+mb1qu6HtcZHHj36VLOvwvBIvb03nhoWrgQCfjLMkfXTOEem1caAN8PwYGN4PB9coHquArnTj4Tjr/nZI/jVD2KlWloS4pPn02BrnfTR64Fv128sFT6XPFJcVTyDPyTyz/YBqrts+XFfX/vyR35H8N+t08a3thgcGLH0Nhc5z5V/6Hd/UDrpGu58IcleYj5m3fU/B9K3QddC/1f3DRWGkc5veddP7zozNg1w305eYgu5ug6zA/WMlJ/Dypq9V7U/D4nNKldgqeH6fOmoX+iCa4ZJ+LdESEsA9CcxQ2l79y7EnDs9As4tYOUxfFBuo+TUbU5JgdZXk1dfrfwEaLexl1OuksGUMbDDuxVkBHKI9JOAw6KznrWoGUVT8K8Sze04Wj+i+M2RuSzj8V0/OSP3p3zEQzKMmB76Tz3y35u0ZoUECP0UuQf6L5T3Lbp2xY9/yLiTIp6W1f0vkvM9tYMEMgVgjYYDhW4rDEGAKGgCFgCBgChoAhYAhUEwGL2xBIAgJNTU0tHp/9PlPkuSXaaIPhRIvfmDcEDAFDwBAwBAwBQ8AQaHAEjL0EIsBgOLx8dMOGDeGXFRIIRV6WbTCcFx5zNAQMAUPAEDAEDAFDwBAwBAyB+kIgmalta2sb0d7efhz0CwbA+gxZAAQD409NmjTpy1tttdW4wML+QgRsMBxCYQZDwBAwBAwBQ8AQMAQMAUPAEDAE6hABkjx8+PD1Q4YMGTNkyJAnGADrSwqOLuB5fWtr61C8mfIQsMGwB4YZDQFDwBAwBAwBQ8AQMAQMAUPAEKhHBLq6unTT8rcWLFhwQRR1d3cvrUe+cqW5EvY2GK4EihaHIWAIGAKGgCFgCBgChoAhYAgYAoZAXSFQZ4PhusLWEmsIGAKGgCFgCBgChoAhYAgYAoaAIRBTBP4fAAD//+muI10AAAAGSURBVAMAJ7+FqjVyYzwAAAAASUVORK5CYII=\" width=\"481.5\" height=\"43\" style=\"width: 481.5px; height: 43px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv 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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 10.5px; text-align: left; transform-origin: 444.5px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eFor a given area limit \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(33, 33, 33);\"\u003ea\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, find the total area of all regular rectangles with areas less than equal \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(33, 33, 33);\"\u003ea\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function t = totArea(a)\r\n    y = x;\r\nend","test_suite":"%%\r\na = 20;\r\nt_correct = 313;\r\nassert(isequal(totArea(a),t_correct))\r\n%%\r\na = 100;\r\nt_correct = 5342;\r\nassert(isequal(totArea(a),t_correct))\r\n%%\r\na = 3333;\r\nt_correct = 1209694;\r\nassert(isequal(totArea(a),t_correct))\r\n%%\r\na = 12345;\r\nt_correct = 8203409;\r\nassert(isequal(totArea(a),t_correct))\r\n%%\r\na = 678910;\r\nt_correct = 1895042544;\r\nassert(isequal(totArea(a),t_correct))\r\n%%\r\na = 11111111;\r\nt_correct = 69378626554;\r\nassert(isequal(totArea(a),t_correct))\r\n%%\r\na = 2222222222;\r\nt_correct = 48508480933342;\r\nassert(isequal(totArea(a),t_correct))\r\n%%\r\na = 10000000000;\r\nt_correct = 296509087777177;\r\nassert(isequal(totArea(a),t_correct))\r\n%%\r\nas = 10000000000:10000000000:50000000000;\r\nts = arrayfun(@(a) totArea(a),as);\r\nss = uint64([sum(ts) sum(diff(ts)) sum(num2str(ts)) floor(std(ts))]);\r\nss_correct = [5634726420754063 1718058577960775 4402 681192254343774];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nfiletext = fileread('totArea.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":255988,"edited_by":413679,"edited_at":"2026-03-27T19:39:02.000Z","deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":"2021-12-11T17:08:46.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-12-10T09:50:52.000Z","updated_at":"2026-03-30T13:08:49.000Z","published_at":"2021-12-10T19:06:50.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA positive integer\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Regular_number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is called a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Regular_number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eregular number, \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003eif and only if there exist a non-negative integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ek\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, such that \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\\\\ |\\\\ 60^k\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.  For some reason, such a number is also refered to as an \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Talk%3ARegular_number#%22Ugly%22_numbers?\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eugly number\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e. Below are the first few regular numbers:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                            \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\{1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 27, 30, 32, 36, 40, 45, 48, 50, 54, 60...\\\\}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWe say that an integer-sided rectangle is a \\\"regular\\\" rectangle if its area is a regular number. In the figure below, the red-colored rectanges are regular, while the blue ones are not.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                                                                    \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"190\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"221\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAll \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e28\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e regular rectangles whose areas are less than equal to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e20\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e are listed below:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                                    \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\{ \\\\  1\\\\times 1,\\\\  1\\\\times 2,\\\\  1\\\\times 3,\\\\  1\\\\times 4,\\\\  2\\\\times 2,\\\\  1\\\\times 5,\\\\  1\\\\times 6,\\\\  2\\\\times 3,\\\\  1\\\\times 8,\\\\  2\\\\times 4,\\\\  1\\\\times 9,\\\\\\\\\\n\\\\ \\\\ 3\\\\times 3,\\\\  1\\\\times 10,\\\\  2\\\\times 5,\\\\  1\\\\times 12,\\\\  2\\\\times 6,\\\\  3\\\\times 4,\\\\  1\\\\times 15,\\\\  3\\\\times 5,\\\\  1\\\\times 16,\\\\  2\\\\times 8,\\\\  \\\\\\\\\\n\\\\ \\\\ 4\\\\times 4,\\\\  1\\\\times 18,\\\\  2\\\\times 9,\\\\  3\\\\times 6,\\\\  1\\\\times 20,\\\\  2\\\\times 10,\\\\  4\\\\times 5\\\\  \\\\} \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAnd their total area is:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                                \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA_{T} = 1+2+3+4+4+5+6+6+8+8+9+9+10+10+12+12+12\\\\\\\\\\n\\\\ \\\\ \\\\ \\\\ +15+15+16+16+16+18+18+18+20+20+20 = 313\\\\ \\\\text{sq units}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eFor a given area limit \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, find the total area of all regular rectangles with areas less than equal \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":53725,"title":"Easy Sequences 56: Counting \"Ugly\" Numbers","description":"A positive integer  is called a regular number, if and only if there exist a non-negative integer , such that .  For some reason, such a number is also refered to as an ugly number. Below are the first few regular numbers:\r\n                            \r\nIt turns out that regular numbers are not so regular after all. In fact, regular numbers are quite rare. There are only  regular numbers  and just  regular numbers .\r\nGiven an integer , and exponent , we are tasked to write a function that counts the number of regular numbers less than or equal to .","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440000534057617px; 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: normal; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 174px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; vertical-align: baseline; \"\u003e\u003cdiv 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; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eA positive integer\u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Regular_number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);\"\u003ex\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e is called a \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Regular_number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eregular number, \u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eif and only if there exist a non-negative integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);\"\u003ek\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e, such that \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"49\" height=\"20\" style=\"width: 49px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e.  For some reason, such a number is also refered to as an \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Talk%3ARegular_number#%22Ugly%22_numbers?\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eugly number\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e. Below are the first few regular numbers:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv 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; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e                            \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg 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\" width=\"515.5\" height=\"19\" style=\"width: 515.5px; height: 19px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv 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; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eIt turns out that regular numbers are not so regular after all. In fact, regular numbers are quite rare. There are only \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"39.5\" height=\"18\" style=\"width: 39.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e regular numbers \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFUAAAAmCAYAAAC1Q9c1AAAAAXNSR0IArs4c6QAAAERlWElmTU0AKgAAAAgAAYdpAAQAAAABAAAAGgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAAAVaADAAQAAAABAAAAJgAAAACz3LWsAAAFAUlEQVRoBe2YW4xdUxjHp0y1ri2tuDc6VPvQlHoQErToQ0sIGYmKYkRdHpBWIq4PIgTR0IbEJemDpCKNBqGIhKSREh4QBAmaaeNWl1JxK1r8fnW+yZpt7TPnOJ0zR7r/yW/W3t/61mV/+9trrTNdXZWqCFQRqCJQRaCKQAdHYNcOnls7pzaawS6DE+GNkoFnYL8crofpsAk2QqVCBLq5vxT64S94CHKah/F3uAemwFL4FeZApUIEZnJ/HjwIZUGdRN0v8CbsAsov/C34CfaDQQqnQcYOuXFuC2BhE/M5CN+rYRncC6fDHlCmt6lYCWvLHLD3we6wCv4EtQ283xMugY6XwZwPH4LZswIakcH8DXzwNfAa2H4LXAT1dAGVZZn6Qa3upEIHJ9fsZuywayIj3ApjmhxpFP698B74gEEjQXVdNJhyGoTO4MJ+zCyzvkz1gupLsY+eQmPvtf9QsO/Q2wPpbQm4zjiYn0Yz8lN9Gnz4Z8A+ZKigzsHHoOn7MBS1HIN1W8E1NKeyoJogMY/i2jkhqRuX67QV22E0vh/cDWMCX3HdbKbSZEDnchV9DRXU1YmvO3NRR2GIvgxwTmVBPRTnaFtcm02aqDs41+l/sU2m0SPgOhade267FooTwNSU5uIdfdYLqhuTGajvF1Am56WPu3gx42xTFlQTI+bhl5jK+6gblEBuCs1qKg0ehY/AA/NuEME00O66Tr4dMhgeb9Qr/xTZv1HnLn5+1iNvNGG+q1WNL7jE/ffY9RtQM0H1V8Tj4G7obtoNBnMx9MB94BLQTs1IBvO0UKb3k4ppyXUjly/VnHz+VHG/JjV63UhQj8XvSXgX5tfafEm5CMzMpdDuYDLkdh0SF5Sbk+viZbpDTypWDnH/RK1+dsHvlNp9veWp0KSr63gsz0GsG5afwzUwFoZTc+k8xq03abMz/C6uM6G+xM8Df1HLMNjP88UK7v0iX4Qf4XBQfpmecl6G0TCk3PFM+ZispW/6KhjuYDLEdjUaVNezmOfZtba5ojfxMzFCU7gwMP6ut59t4BJ3KqQax82zsA6WQz+YcPvAv+RbKMoBNoIDxCag3wHgQr8FOkUuO+NrkxlVZ1Lpc8Yz6f4xpD8Wyrowqc6EveAYWARmbla5NfVrPBfANPCt/AEekW6BDXA75I4lmNsuz8Mhs6lMJkMobRO2Rks/+bVQGlA7ygVVu/oEFsIR8ACYoXvDzbAe7oAJMJJKAxQZm5tPWucmO6yqF9QY+FMu/GfFZFgCvi2DexOshzthpIL7GWOH0sCFLcq0rt6PhPBve2kAb4N0k/BzuAsmwo5QoxtVL4PFRvVUnYE9EobfhXX8RrzKne9GcA2OCZvFd8P+0IoaDaprpWM6/reQ26y0bar5/EzpZtPxchNbDB5V0uCObWHm85K+VgzRz8rE9+iM78yk/rFMfUebxjC7K6EfDG6z//qjyYD6uIoXtGrAmr/wrBmZuDrj8gI2+9oM0zP1/wtTN7M8C3KfYiMP0IPTOxBB/YbrqUM0nEW9/9SwzXXgC5YbQJsnl9mw08nf8Z40/O99BDRKbf1wBZTpHCo2gG3cRGMj1eZLbpty2eQx6wSwbEWv0thgtFOjGew4OLI26DrK12Fr7X7EilmMHBnSStnKmjpiD78jBs5lY87W7Fi+DP93sFMq9/n7Ce3bYjT87D03VqoiUEWgikAVgSoCVQQ6LQJ/AyrqRIz4hu/UAAAAAElFTkSuQmCC\" width=\"42.5\" height=\"19\" style=\"width: 42.5px; height: 19px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e and just \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"47\" height=\"18\" style=\"width: 47px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e regular numbers \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFAAAAAmCAYAAABTahxxAAAAAXNSR0IArs4c6QAAAERlWElmTU0AKgAAAAgAAYdpAAQAAAABAAAAGgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAAAUKADAAQAAAABAAAAJgAAAABHclkgAAAET0lEQVRoBe2XWYjNURzHx5gx9p0QGsuQEuEB2ZeUF55EKZF4ISEayoMsIbLkgcSDIllSiJIliaTsD9TYniZL9nXsPl/zP9OZf/9z59w7947r+n/rc/9n+Z3f+f9/Z715ebHiCMQRiCMQRyCOQIoRqJ9iu2xsVshLzYHhcNXxgv0onwul0BdewlMIy9cuLz/c8h/MF/DOs6EMdkIfiNJECq9Bc1gIjeEKjAdbvnZ2m386PYC3nwo74BcoiGF1peATXAczabT6bsAHaA2Sr12lNb/GWVXBX05oGU6AJbALlsNo0Gxx6SYVB+GSy4DymdAIjsBPkH6A8k1gFkgzwcdOtlmn/rzRLdAsCqO9ajAk0nQqXTPwblA3IuRgZFCumSj52lVaZ+i3LX5XQlES/kuw1RILB87Ov6d+bAKfiQJYEfjuHmqvvPp4G5T72oXcpCfbATebQHuKXkpLw0f1MLoIWlLroCNof+oR5L/yNIHUIeCSK4AaUNPe7HXGRxurzgRTtonsWpjG6Xp2wdF2+AzmRZ+R9p2BQ4N2K3hGSVcT41dBbhVlRJkrgJ2t9uG9VINsfA+y0onsOmGXFnXDizb6L2BeQneqxRB+AYqcWkvNPch3WGiG3gfTxySHnSuAGkjTVqvElvKmTtcbk05kV21iuF7a7iSc7k3BXigDzY4GYAKnoG4G7We+aonhSjCnY7idPuq2Veiys0yqJTXAr4IS9WXL5F9T+A587OSvSskEsC+tDoBOqhlQAArcItD+sQW0jJPVPBroGpJIFVblIyvtmzwbGOobbJn8haDQ167Kh08AB2J9FO7ANFCbJ7AQNOO2QiqBo5m3igNLzXoNYLI6HDQYHWo4JsjvC56+diE30dkhFJ8Esy/oWQ4LoCHUldrT0TdQ/xo0l7ZRIZtTEQZaLadBV6FikLRqdGM4B4Ug+dpVWjt+dWppKtuBe0t+PtRl4Ojuj5byq3fRPmg+9E9F8FPCU0H4CrLTSa2tZizY0vXjBDyEPfAYNEGagy1fO7tNtbRGXFP6O5ggfiS9GlpBXaojnb0BbRHaStKhpjgZDs1qcOZr53TTk5rdYEZWwdRJtQZaQ6ZVjw609+rUnZLpzjLpvwvOwxdlBXIttMlgx6vwrUHTEs4J6XK5EbQRm6Wt9DpIdyB1TVIf8p1zUrA0O3T5tAO5nrz+d9ZWk3GgU3dHbR1le3udXsvhOZhA6lqwAdpBKhpHI12a90O+w4EOMu3DOSP9710E5WAHMtkrj+6dGoDjUABRKqTwGOiakhXSSZcuFeFoFpRCMegaoOuPj/phdAE0uw5B1D8bnfzDQE/N1POQk9LsmQS+g9ML26dgZm9NzwdJ+MY093WGT6wpaHb9smwKSdQs0eY9FFybuO/7X8ZQl+D/TqP4YnvEU003+R8iFzXLosqSjYWCrj/1Oa+oJayrgk7D2khL90VtHMRt4wjEEYgjEEcgjkDOR+A3ikA8Pu7J4AoAAAAASUVORK5CYII=\" width=\"40\" height=\"19\" style=\"width: 40px; height: 19px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv 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; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eGiven an integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e and exponent \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);\"\u003ee\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e, we are tasked to write a function that counts the number of regular numbers less than or equal to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"15\" height=\"19\" style=\"width: 15px; height: 19px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function c = regCount(n,e)\r\n    c = n ^ e;\r\nend","test_suite":"%%\r\nn = 10; e = 5;\r\nc_correct = 313;\r\nassert(isequal(regCount(n,e),c_correct))\r\n%%\r\nn = 10; e = 10;\r\nc_correct = 2053;\r\nassert(isequal(regCount(n,e),c_correct))\r\n%%\r\nn = 2; e = 100;\r\nc_correct = 48694;\r\nassert(isequal(regCount(n,e),c_correct))\r\n%%\r\nn = 7; e = 77;\r\nc_correct = 473183;\r\nassert(isequal(regCount(n,e),c_correct))\r\n%%\r\nn = 10; e = 100;\r\nc_correct = 1697191;\r\nassert(isequal(regCount(n,e),c_correct))\r\n%%\r\nn = 77; e = 77;\r\nc_correct = 5166439;\r\nassert(isequal(regCount(n,e),c_correct))\r\n%%\r\n%ns = 1:100; es = ns+10;\r\n%cs = arrayfun(@(i) regCount(ns(i),es(i)),1:100);\r\n%ss = floor([cs(25:25:end) sum(cs) std(cs) sum(num2str(cs))]);\r\n%ss_correct = [203379 1797050 6815143 17856016 421336320 5052973 44715];\r\n%assert(isequal(ss,ss_correct))\r\n%%\r\nns = 1:25; e = 100;\r\ncs = arrayfun(@(i) regCount(ns(i),e),1:25);\r\nss = floor([cs(5:10:end) sum(cs) std(cs) sum(num2str(cs))])\r\nss_correct = [585064 2751849 4607635 57125382 1487797 10278];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nfiletext = fileread('regCount.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":3,"comments_count":27,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":7,"test_suite_updated_at":"2021-12-19T18:30:20.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-12-17T16:20:39.000Z","updated_at":"2026-03-19T15:29:37.000Z","published_at":"2021-12-17T17:33:29.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA positive integer\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Regular_number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is called a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Regular_number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eregular number, \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003eif and only if there exist a non-negative integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ek\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, such that \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\\\\ |\\\\ 60^k\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.  For some reason, such a number is also refered to as an \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Talk%3ARegular_number#%22Ugly%22_numbers?\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eugly number\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e. Below are the first few regular numbers:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                            \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\{1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 27, 30, 32, 36, 40, 45, 48, 50, 54, 60...\\\\}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIt turns out that regular numbers are not so regular after all. In fact, regular numbers are quite rare. There are only \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e2,053\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e regular numbers \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\le10^{10}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and just \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e48,694\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e regular numbers \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\le2^{100}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eGiven an integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e and exponent \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ee\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, we are tasked to write a function that counts the number of regular numbers less than or equal to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en^e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":53730,"title":"Easy Sequences 57: \"Pretty-gorean\" Triangles?","description":"A positive integer  is called a regular number, if and only if there exist a non-negative integer , such that .  For some reason, such a number is also refered to as an ugly number. Below are the first few regular numbers:\r\n                            \r\nPythagorean triangles are right triangles with all sides having integer lengths. Write a program that counts all Pythagorean triangles whose areas are non-regular numbers and with no sides greater than a given limit .\r\nBelow is the list of all Pythagorean triangles with non-regular areas and with all sides :\r\n                            \r\nTherefore, for , your program output should be . ","description_html":"\u003cdiv 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; \"\u003e\u003cdiv style=\"block-size: 294.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 147.25px; transform-origin: 407px 147.25px; vertical-align: baseline; \"\u003e\u003cdiv 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; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 54.5px 8px; transform-origin: 54.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA positive integer\u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Regular_number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 35.5px 8px; transform-origin: 35.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is called a \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Regular_number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eregular number, \u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 148px 8px; transform-origin: 148px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eif and only if there exist a non-negative integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ek\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 35px 8px; transform-origin: 35px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, such that \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 49px; height: 19.5px;\" width=\"49\" height=\"19.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 19px 8px; transform-origin: 19px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.  For some reason, such a number is also refered to as an \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Talk%3ARegular_number#%22Ugly%22_numbers?\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eugly number\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 129px 8px; transform-origin: 129px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Below are the first few regular numbers:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv 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; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 56px 8px; transform-origin: 56px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e                            \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 515.5px; height: 18.5px;\" width=\"515.5\" height=\"18.5\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv 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; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 244.5px 8px; transform-origin: 244.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ePythagorean triangles are right triangles with all sides having integer lengths. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 109.5px 8px; transform-origin: 109.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eWrite a program that counts all Pythagorean triangles whose areas are \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 13.5px 8px; transform-origin: 13.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; text-decoration: underline; text-decoration-line: underline; \"\u003enon\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 216.5px 8px; transform-origin: 216.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e-regular numbers and with no sides greater than a given limit \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003es\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv 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; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 267px 8px; transform-origin: 267px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eBelow is the list of all Pythagorean triangles with non-regular areas and with all sides \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 40px; height: 18px;\" width=\"40\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 102.5px; 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 51.25px; text-align: left; transform-origin: 384px 51.25px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 56px 8px; transform-origin: 56px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e                            \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-45px\"\u003e\u003cimg 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\" style=\"width: 407px; height: 102.5px;\" width=\"407\" height=\"102.5\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv 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; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 46px 8px; transform-origin: 46px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTherefore, for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 50px; height: 18px;\" width=\"50\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 103.5px 8px; transform-origin: 103.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, your program output should be \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function c = prettyTs(s)\r\n    c = length(primes(s));\r\nend","test_suite":"%%\r\ns = 100;\r\nc_correct = 25;\r\nassert(isequal(prettyTs(s),c_correct))\r\n%%\r\ns = 1000;\r\nc_correct = 766;\r\nassert(isequal(prettyTs(s),c_correct))\r\n%%\r\ns = 10000;\r\nc_correct = 12164;\r\nassert(isequal(prettyTs(s),c_correct))\r\n%%\r\ns = 100000;\r\nc_correct = 160795;\r\nassert(isequal(prettyTs(s),c_correct))\r\n%%\r\ns = 1000000;\r\nc_correct = 1979487;\r\nassert(isequal(prettyTs(s),c_correct))\r\n%%\r\ns = 10000000;\r\nc_correct = 23469583;\r\nassert(isequal(prettyTs(s),c_correct))\r\n%%\r\ns = 100000000;\r\nc_correct = 271357687;\r\nassert(isequal(prettyTs(s),c_correct))\r\n%%\r\nss = 2 .^ (0:27);\r\ncs = arrayfun(@(s) prettyTs(s),ss);\r\nss = [sum(cs) floor(std(ss)) sum(num2str(cs))];\r\nss_correct = [711366867 28183073 12126];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nfiletext = fileread('prettyTs.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":0,"comments_count":5,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-12-19T05:16:18.000Z","updated_at":"2026-03-20T12:58:48.000Z","published_at":"2021-12-21T07:47:43.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA positive integer\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Regular_number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is called a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Regular_number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eregular number, \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003eif and only if there exist a non-negative integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ek\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, such that \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\\\\ |\\\\ 60^k\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.  For some reason, such a number is also refered to as an \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Talk%3ARegular_number#%22Ugly%22_numbers?\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eugly number\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e. Below are the first few regular numbers:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                            \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\{1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 27, 30, 32, 36, 40, 45, 48, 50, 54, 60...\\\\}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ePythagorean triangles are right triangles with all sides having integer lengths. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eWrite a program that counts all Pythagorean triangles whose areas are \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003enon\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e-regular numbers and with no sides greater than a given limit \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003es\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eBelow is the list of all Pythagorean triangles with non-regular areas and with all sides \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\le 100\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                            \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\{\\\\ [7,24,25]\\\\ [20,21,29]\\\\ [21,28,35]\\\\ [12,35,37]\\\\ [14,48,50]\\\\\\\\\\n\\\\ \\\\ [28,45,53]\\\\ [33,44,55]\\\\ [40,42,58]\\\\ [11,60,61]\\\\ [16,63,65]\\\\\\\\\\n\\\\ \\\\ [33,56,65]\\\\ [39,52,65]\\\\ [42,56,70]\\\\ [48,55,73]\\\\ [24,70,74]\\\\\\\\\\n\\\\ \\\\ [21,72,75]\\\\ [13,84,85]\\\\ [36,77,85]\\\\ [51,68,85]\\\\ [60,63,87]\\\\\\\\\\n\\\\ \\\\ [39,80,89]\\\\ [35,84,91]\\\\ [57,76,95]\\\\ [65,72,97]\\\\ [28,96,100]\\\\ \\\\}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTherefore, for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003es=100\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, your program output should be \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e25\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":53740,"title":"Easy Sequences 59: Almost Twin Primes","description":"A positive integer pair , is called an \"almost twin prime pair\", if one of the pair is a prime and the other is either a prime or a semiprime. A semiprime is a natural number that is a product of only two and exactly two (not necessarily distinct) prime numbers (e.g. , , , , , , , , ...).\r\nListed below are all almost twin prime pairs with no element greater than :\r\n                            \r\nOur task in this exercise is, to create a function that counts the number of almost twin prime pairs whose elements are less than or equal to a given limit  Therefore for , our function should return .","description_html":"\u003cdiv 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; \"\u003e\u003cdiv style=\"block-size: 234.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 117.25px; transform-origin: 407px 117.25px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 70.5px 8px; transform-origin: 70.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA positive integer pair \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 67px; height: 18.5px;\" width=\"67\" height=\"18.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 280.075px 8px; transform-origin: 280.075px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, is called an \"almost twin prime pair\", if one of the pair is a prime and the other is either a prime or a semiprime. A \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Semiprime\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003esemiprime\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 255.5px 8px; transform-origin: 255.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"perspective-origin: 203.5px 8px; transform-origin: 203.5px 8px; \"\u003e is a natural number that is a product of only two and exactly two \u003c/span\u003e\u003cspan style=\"border-block-end-style: solid; border-block-end-width: 1px; border-bottom-style: solid; border-bottom-width: 1px; perspective-origin: 2.5px 8.5px; transform-origin: 2.5px 8.5px; \"\u003e(\u003c/span\u003e\u003cspan style=\"perspective-origin: 49.5px 8px; transform-origin: 49.5px 8px; \"\u003enot necessarily distinct\u003c/span\u003e\u003cspan style=\"border-block-end-style: solid; border-block-end-width: 1px; border-bottom-style: solid; border-bottom-width: 1px; perspective-origin: 2.5px 8.5px; transform-origin: 2.5px 8.5px; \"\u003e)\u003c/span\u003e\u003cspan style=\"perspective-origin: 67.5px 8px; transform-origin: 67.5px 8px; \"\u003e prime numbers (e.g. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e4\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e6\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e9\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAkCAYAAADhAJiYAAABv0lEQVRYR+1Xu0oEQRC8+wMff6CGgoKGJiZ6KJgYaC6ox6U+EE1EERQjA8HcQDEXNTExEhPhsjv9AkXFH7BKZmBZZrrX3Z3jhFkodnce3TXdvTWz1UqXXdUu41OJhLSMxAiVFaEJY+gb92fNqKd/AO1fwLs0X0pZPybuAfWUgQ+8bwFnGYmRyJqxM6otyEeIRp6AXsHpAfq2hX7XgnITuoGjIWAHuDBOR3BfSUVsFu/XDlIzaBsGmsAuMG7G5CJEY+fApCe8G2g/NA4ucV9UUpccn4sQI3Iv1AhT8WZIsJ76QhM6hYNj4FVwxJROAx0hpCz4t9sSusVzLXSEshBqY9AgsCqk1topXEMaIUrCi8GUklraCk7IOsgSneCE+IW1gMcMtdORlFESWDssZHFPSuQ9WMqo0uvAPPCXDTYIIarxfg4yQWqoCJnSCXFfO1Eiw02X5ySfspeWMjrinjYHPHjEiV8dVXshNCFLhgJ45SHD5mWAqi1tH4UjZMlIh7MkR9+ZiGOo6ndGKvi+CRwJC3T+l1FreqRJib5PPDeAtCaRyBIw5rDDWqNsOI/A8TdIi3yMUIyQFgGtP9bQv4vQD9NlZyWxIoWbAAAAAElFTkSuQmCC\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 10.5px 8px; transform-origin: 10.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e...).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv 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; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 228px 8px; transform-origin: 228px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eListed below are all almost twin prime pairs with no element greater than \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 25.5px; height: 18px;\" width=\"25.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 81.5px; 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 40.75px; text-align: left; transform-origin: 384px 40.75px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 56px 8px; transform-origin: 56px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e                            \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-35px\"\u003e\u003cimg 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\" style=\"width: 440.5px; height: 81.5px;\" width=\"440.5\" height=\"81.5\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv 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; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 94.5px 8px; transform-origin: 94.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eOur task in this exercise is, to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 262.5px 8px; transform-origin: 262.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003ecreate a function that counts the number of almost twin prime pairs whose elements are less than or equal to a given limit \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 14.5px; height: 18px;\" width=\"14.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 46px 8px; transform-origin: 46px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e Therefore for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGcAAAAkCAYAAACUjSQ7AAADnUlEQVRoQ+1ZOYsWQRDd/QHiGYmRRyAIGqiRCJoo+gNUTASFdTX3zsQTTASvYGEzFWNFEw023EVcDAw8QiOvf6DvSReUTV8z/blbH9MNj5lvpqunul5XdVV/kxOtmbXApFnNmmITjRzDi6CR08gxbAHDqjXPaeSYtcBaaLYS+NJBQ8psdf0/4Pr9f8kO1XNo4JPABeAi8KjAwHvQ5wpA2WeO1GlcHwAzGYJ7yQ6RnHOOlNWOkNMF5BxFn8fAK+C48pbtuH8H/AR2RgjqLTskcjY6b3mP616Aq54tR44QwL47gEXPy0j2LWAB2OW9q5EdbJ3DMDNXSM5L9DsQMT6HIOmfI2PVyDZyMp6jV/519L3seYb8/ISbTR6BNbJ/xx1SWNN2LfWcaxC65ASP4fokQg6fH3HvSBKzvxrZYnKYnWwAdKylK68HvjpFIjqbfVxKjoQlTiS038gEZd/hbyGxRjZKziG82QbsB3YDzGpk0yQp9wHGYDZmKfs84lKM6BqhhrnaRVFKzg83/y7kSPirkY2SI14xix50UTZeVwBvgJvuGTMUtlQs9gnQRqkhJ5dh5cYuJee3GqjUc55ChulzjWyUHNFnHjfM3ZnbnwGYKoqX6MmlYrFvJG6SQmrOgKn3d/HyRcUAXclhhFiT+J4ezyenj2ySHIafb04ZrtJTwB1ANsQp3D9079fh2uUIo8KmIxPtQ86WxDy5FTx32oXI6SqbJEd/jJ7D7IPeI437Dos4vjs4MpMt3UBdyaFmZsKaGJ9KscDa7NlNNrvzeH576Ww6si+VktMn45L9sEY26TlSVLHTYUDH99yRRMqC45at6UVa6jlirxrZKDna+BI/tcFlv8ltdCGSxi1bk0NLziWVIYqX6APQGtkoOXqz972GQqIIj8r1PlQSc8YtW6OnfwRY66XmK2FeL+Ya2Sg5ehX46aPO4iSFZgZ3A/BPa0vIWq4+pXsO9ZPqn14Ryrp08uSHvhrZ4NmaFE+hlaJdlSn0VYBKxw4El8v4ue92IYdjSc0XCm2ymGPJUW9Z/+BTr4JQSNMhj0UpMzkSNk6N3n8PkINKhqKzQKpWowxJYFEuEYPPuDhZUqROSXrL+uTQ0CecpUP1i0xsFfrMArFTWqtkMczwzNBvv/DgLcC/m1Mk0T78o45HXGyvAdZ6JSG9s+xQ/zKwunj+0auRY5imRk4jx7AFDKvWPKeRY9gChlVrntPIMWwBw6o1zzFMzh9OCSQ0DhAtcwAAAABJRU5ErkJggg==\" style=\"width: 51.5px; height: 18px;\" width=\"51.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 87.5px 8px; transform-origin: 87.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, our function should return \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAkCAYAAADhAJiYAAACYElEQVRYR+1Wuy5FQRR1P0Di8QceNRE6CoVHSCSCkGhU3i2JV+UViUpB9BJEL0RCQSUUOolHoVARxA9YS2bfjLl7zpx73OIW5yQr58yZ2XvWrL1nz2RKiuzJFBmfkpRQKCKpQoVSqA6OSoFX4Dnk1OlvNu1vvO9CtlEhq4TxMjAElFuOnvA9AlxFOBfbCWfMB9pzwK7P1keIDk+AamAH+AIagEHLUYuHVBX+3ziLcOdfw48FjZSPEMkwNEvAu2XI0F2YyU7x7lSc0rYGWAQOTD/txgBbsW60j117jRBjPg0wVNqzbRxT/gpnQBfae0AroOXLLP5vGJtDbQ6NEJ3eG4U0QuKUYWlyBlARKujLEabCm7HRFpSoUotC48rE7NuMWAy5MKQdQEEIcYUPwDUwDNj5pQc4968QUnMwn0otO4/bfiohGdJ7BLh7NYVjhYxE2gCGQ+oRVzcZCI2mGEsCF0S0a/YhhWTHlZm425MwBxrzJCUbQlWHzkOE3FWyFNhKqVvXk0x2/mn169csX0K0sSsxVaqNmU8sCcwdkvFuhiSESGoVmDdK1OMdOjRZpWeAvtDYpISYW5cxCTHMK3HIJA0Z7YSQWtysHMqLzH8IcaJ9wHtqo49H0FZAGR66vCdl71hJQyYnui8n5FbQg8l89yYptLzSRBKShPVdxOQsU68PcC5kaH9khc/9HMUPVu0/JUBTSCYUB6zK56YxgDcnWvfsFvu+FMEl25WzKI0QpewHei2Pt/h+Ac5seZUZWWtY1eM8nxiUcyYmzaE4EyYakxIKyZYqlCoUUiDUn+ZQSKEfio97JQ8zuD4AAAAASUVORK5CYII=\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function c = count_ATPs(n)\r\n    c = floor(n/3) - 1;\r\nend","test_suite":"%%\r\nn = 100;\r\nc_correct = 32;\r\nassert(isequal(count_ATPs(n),c_correct))\r\n%%\r\nn = 1000;\r\nc_correct = 184;\r\nassert(isequal(count_ATPs(n),c_correct))\r\n%%\r\nn = 10000;\r\nc_correct = 1070;\r\nassert(isequal(count_ATPs(n),c_correct))\r\n%%\r\nn = 100000;\r\nc_correct = 7195;\r\nassert(isequal(count_ATPs(n),c_correct))\r\n%%\r\nn = 1000000;\r\nc_correct = 51858;\r\nassert(isequal(count_ATPs(n),c_correct))\r\n%%\r\nn = ceil(2.*(10.^(0.2:0.2:8)));\r\nc = count_ATPs(n);\r\nc = [numel(c) numel(diff(c)\u003e0) c(end-1) sum(c) floor(std(c)) sum(num2str(c))];\r\nc_correct = [40 39 3804487 17017203 1151858 14472];\r\nassert(isequal(c,c_correct))\r\n%%\r\nfiletext = fileread('count_ATPs.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-12-26T06:08:37.000Z","updated_at":"2026-03-21T12:03:07.000Z","published_at":"2021-12-28T18:43:23.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA positive integer pair \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e[p,\\\\ p+2]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, is called an \\\"almost twin prime pair\\\", if one of the pair is a prime and the other is either a prime or a semiprime. A \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Semiprime\\\"\u003e\u003cw:r\u003e\u003cw:t\u003esemiprime\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e is a natural number that is a product of only two and exactly two (not necessarily distinct) prime numbers (e.g. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e4\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e6\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e9\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e10\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e14\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e15\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e21\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e22\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e25\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e...).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eListed below are all almost twin prime pairs with no element greater than \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e100\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                            \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\{\\\\ [2,4]\\\\ [3,5]\\\\ [5,7]\\\\ [7,9]\\\\ [9,11]\\\\ [11,13]\\\\ [13,15]\\\\ [15,17]\\\\ [17,19]\\\\\\\\\\n\\\\ \\\\ [19,21]\\\\ [21,23]\\\\ [23,25]\\\\ [29,31]\\\\ [31,33]\\\\ [35,37]\\\\ [37,39]\\\\ [39,41]\\\\\\\\\\n\\\\ \\\\ [41,43]\\\\ [47,49]\\\\ [51,53]\\\\ [53,55]\\\\ [57,59]\\\\ [59,61]\\\\ [65,67]\\\\ [67,69]\\\\\\\\\\n\\\\ \\\\ [69,71]\\\\ [71,73]\\\\ [77,79]\\\\ [83,85]\\\\ [87,89]\\\\ [89,91]\\\\ [95,97]\\\\ \\\\}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOur task in this exercise is, to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ecreate a function that counts the number of almost twin prime pairs whose elements are less than or equal to a given limit \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e Therefore for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en=100\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, our function should return \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e32\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":53745,"title":"Easy Sequences 60: Almost Cube Root","description":"The almost cube root of an integer , is the largest possible integer , such that  and . For example , then , since  and since the next larger divisor of  which is , does not qualify because . Obviously, if  is a perfect cube, then . \r\nGiven an integer , please find sum of the \"almost cube roots\" of all integers from  to  For , the program ouput should be :\r\n                             \r\n                             where:  is the almost cube root of .","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440000534057617px; 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: normal; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 229px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 71px; 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; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eThe almost cube root of an integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);\"\u003ex\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e, is the largest possible integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);\"\u003er\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e, such that \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"36\" height=\"19\" style=\"width: 36px; height: 19px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"40.5\" height=\"19\" style=\"width: 40.5px; height: 19px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e. For example \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"44\" height=\"18\" style=\"width: 44px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e, then \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"35.5\" height=\"18\" style=\"width: 35.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e, since \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"82.5\" height=\"19\" style=\"width: 82.5px; height: 19px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e and since the next larger divisor of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"18\" height=\"18\" style=\"width: 18px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e which is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: normal; font-weight: normal; color: rgb(0, 0, 0);\"\u003e6\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e, does not qualify because \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"90\" height=\"19\" style=\"width: 90px; height: 19px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e. Obviously, if \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);\"\u003ex\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e is a perfect cube, then \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"50.5\" height=\"29\" style=\"width: 50.5px; height: 29px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv 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; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eGiven an integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e, please find sum of the \"almost cube roots\" of all integers from \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: normal; font-weight: normal; color: rgb(0, 0, 0);\"\u003e1\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"14.5\" height=\"18\" style=\"width: 14.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e For \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"44\" height=\"18\" style=\"width: 44px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e, the program ouput should be \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"18\" height=\"18\" style=\"width: 18px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 68px; 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; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e                             \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-28px\"\u003e\u003cimg 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\" 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src=\"data:image/png;base64,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\" width=\"33\" height=\"20\" style=\"width: 33px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e is the almost cube root of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);\"\u003ei\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function s = sumAlmostR3(n)\r\n    s = 1.5 * n;\r\nend","test_suite":"%%\r\nn = 30;\r\ns_correct = 45;\r\nassert(isequal(sumAlmostR3(n),s_correct))\r\n%%\r\nn = 100;\r\ns_correct = 202;\r\nassert(isequal(sumAlmostR3(n),s_correct))\r\n%%\r\nn = 1000;\r\ns_correct = 3771;\r\nassert(isequal(sumAlmostR3(n),s_correct))\r\n%%\r\nn = 1234;\r\ns_correct = 4928;\r\nassert(isequal(sumAlmostR3(n),s_correct))\r\n%%\r\nn = 12345;\r\ns_correct = 96641;\r\nassert(isequal(sumAlmostR3(n),s_correct))\r\n%%\r\nn = 123456;\r\ns_correct = 1929880;\r\nassert(isequal(sumAlmostR3(n),s_correct))\r\n%%\r\nn = 1234567;\r\ns_correct = 39164653;\r\nassert(isequal(sumAlmostR3(n),s_correct))\r\n%%\r\nn = 12345678;\r\ns_correct = 804756993;\r\nassert(isequal(sumAlmostR3(n),s_correct))\r\n%%\r\nn = 123456789;\r\ns_correct = 16678814481;\r\nassert(isequal(sumAlmostR3(n),s_correct))\r\n%%\r\nns = round(10 .^ (2:0.2:9));\r\nss = arrayfun(@(n) sumAlmostR3(n),ns);\r\nss = [length(ss) sum(ss) length(num2str(ss)) sum(num2str(ss)) floor(std(ss))];\r\nss_correct = [36 578069405385 493 21113 50479263911];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nfiletext = fileread('sumAlmostR3.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":1,"comments_count":3,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":"2021-12-31T06:34:09.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-12-29T08:27:45.000Z","updated_at":"2026-03-21T15:37:42.000Z","published_at":"2021-12-30T11:27:02.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe almost cube root of an integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, is the largest possible integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003er\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, such that \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003er\\\\ |\\\\ x\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003er^3\\\\le x\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. For example \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex=72\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, then \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003er=4\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, since \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e4^3=64\u0026lt;72\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and since the next larger divisor of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e72\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e which is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e6\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, does not qualify because \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e6^3=216\u0026gt;72\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Obviously, if \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is a perfect cube, then \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003er=\\\\sqrt[3]{x}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eGiven an integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, please find sum of the \\\"almost cube roots\\\" of all integers from \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e For \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en=30\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the program ouput should be \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e45\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                             \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\sum^{30}_{i=1} R_{3}(i)=1+1+1+1+1+1+1+2+1+2+1+2+1+2+1\\\\\\\\\\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ +2+1+2+1+2+1+2+1+2+1+2+3+2+1+3=45\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                             where: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eR_{3}(i)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the almost cube root of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ei\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"}],"no_progress_badge":{"id":53,"name":"Unknown","symbol":"unknown","description":"Partially completed groups","description_html":null,"image_location":"/images/responsive/supporting/matlabcentral/cody/badges/problem_groups_unknown_2.png","bonus":null,"players_count":0,"active":false,"created_by":null,"updated_by":null,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"created_at":"2018-01-10T23:20:29.000Z","updated_at":"2018-01-10T23:20:29.000Z","community_badge_id":null,"award_multiples":false}}