Problem 55980. Generate Pascal's Triangle Matrix

Created by Ben Placek

Solve Later

{"parts":[{"partUri":"/matlab/document.xml","contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?><w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Pascal's triangle is an arrangement of numbers where each value is the sum of the values adjacent to it in the previous row:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:customXml w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"420\"/><w:attr w:name=\"width\" w:val=\"560\"/><w:attr w:name=\"verticalAlign\" w:val=\"baseline\"/><w:attr w:name=\"altText\" w:val=\"\"/><w:attr w:name=\"relationshipId\" w:val=\"rId1\"/></w:customXmlPr></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>The values can also be calculated directly. The </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>k^{th}</w:t></w:r></w:customXml><w:r><w:t> value of the </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>n^{th}</w:t></w:r></w:customXml><w:r><w:t> row is </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>{n-1 \\choose k-1}</w:t></w:r></w:customXml><w:r><w:t>. For example, the fifth row is 1, 4, 6, 4, 1:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[nchoosek(4,0)\nans =\n1\nnchoosek(4,1)\nans =\n4\nnchoosek(4,2)\nans =\n6\nnchoosek(4,3)\nans =\n4\nnchoosek(4,4)\nans =\n1]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Given a positive integer </w:t></w:r><w:r><w:rPr><w:rFonts w:cs=\"monospace\"/></w:rPr><w:t>n</w:t></w:r><w:r><w:t>, return an </w:t></w:r><w:r><w:rPr><w:rFonts w:cs=\"monospace\"/></w:rPr><w:t>n</w:t></w:r><w:r><w:t>-by-</w:t></w:r><w:r><w:rPr><w:rFonts w:cs=\"monospace\"/></w:rPr><w:t>n</w:t></w:r><w:r><w:t> matrix that represents the values of the first </w:t></w:r><w:r><w:rPr><w:rFonts w:cs=\"monospace\"/></w:rPr><w:t>n</w:t></w:r><w:r><w:t> rows of Pascal's triangle. The first </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>k</w:t></w:r><w:r><w:t> values of the </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>k</w:t></w:r><w:r><w:t>th row of the matrix will be the values from Pascal's triangle; the remaining </w:t></w:r><w:r><w:rPr><w:rFonts w:cs=\"monospace\"/></w:rPr><w:t>n-k</w:t></w:r><w:r><w:t> values should be 0.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>For example, for </w:t></w:r><w:r><w:rPr><w:rFonts w:cs=\"monospace\"/></w:rPr><w:t>n</w:t></w:r><w:r><w:t> = 6, the output should be</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[1     0     0     0     0     0\n1     1     0     0     0     0\n1     2     1     0     0     0\n1     3     3     1     0     0\n1     4     6     4     1     0\n1     5    10    10     5     1]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t></w:t></w:r></w:p></w:body></w:document>","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"}]}

<div style = "text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; "><div style="block-size: 1164.1px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 582.05px; transform-origin: 407px 582.05px; vertical-align: baseline; "><div style="block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 375.5px 8px; transform-origin: 375.5px 8px; unicode-bidi: normal; "><span style="">Pascal's triangle is an arrangement of numbers where each value is the sum of the values adjacent to it in the previous row:</span></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; "><span style=""></span></span></div><div style="block-size: 425.5px; 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 212.75px; text-align: left; transform-origin: 384px 212.75px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><img class="imageNode" style="vertical-align: baseline;width: 560px;height: 420px" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAjAAAAGkCAIAAACgjIjwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAB3RJTUUH5gkUEDseBDmBrQAAACR0RVh0U29mdHdhcmUATUFUTEFCLCBUaGUgTWF0aFdvcmtzLCBJbmMuPFjdGAAAACJ0RVh0Q3JlYXRpb24gVGltZQAyMC1TZXAtMjAyMiAxMjo1OTozMOMKOVYAACAASURBVHic7d1/cFPnmTf8G0dWzgkWkQQ2/vEAh5jyOKn7VIS6JWEXDO/G8WQzA29LZklnC6SzzWQ6bxoK+0dmkyxm+sykE5LUneTNMt1MokzfbNmlTcwOzfDjSSrcUMgj0miJpvGTWFjEyDYWSCKy0UE+sd8/bjg5SPbR0dH5cUv6fv6yZHN8cy6f69L5cd/XvJmZGQIAAGC3GrsHAAAAQAgKEgAAMAIFCQAAmICCBAAATEBBAgAAJqAgAQAAE1CQAACACShIAADABBQkAABgAgoSAAAwAQUJAACYgIIEAABMQEECAAAmoCABAAATUJAAAIAJKEgAAMAEFCQAAGACChIAADABBQkAAJiAggQAAExAQQIAACagIAEAABNQkAAAgAkoSAAAwAQUJAAAYAIKEgAAMAEFCQAAmICCBAAATEBBAgAAJqAgAQAAE1CQAACACShIAADABBQkAABgAgoSAAAwAQUJAACYgIIEAABMQEECAAAmoCABAAATUJAAAIAJKEgAAMAEFCQAAGACChIAADABBQkAAJiAggQAAExAQQIAACagIAEAABNQkAAAgAkoSAAAwAQUJAAAYAIKEgAAMAEFCQAAmICCBAAATEBBAgAAJqAgAQAAE1CQAACACShIACaKJsS9R4f2Hh2KJsT870qStGHDhmw2a/3AABg0b2Zmxu4xAFSmQCS54ZWP5Jevb71zR0eT/DIWi23btu299967du2a0+m0Y4AAbMEZEoBZHjnwifLl3mNDypf79u3bvXv3okWLrB0UALscdg8AoDIFIsmcy3TRhBiIJDtbPfRlb2+vHeMCYBfOkABMIXj4/DflagQA+VCQAEwheLmeruXKd5Q3kAAgHy7ZAZhl/Qr3E5klV0QpEEmub/Vs/1aj3SMCYBoKEoApUhkpMJjquX+5m3fQl/7gqK/FRV8CQD5csgMwRV843tnqlsuPm3d0tnr6wvGcH4vH43jmG4BCQQIwHn2+rnPFTY8wCF6OEBKKTdgzJgDmoSABGK8vHM9/oM7NOza31wciSVuGBMA+FCQAg/WF44KXo+dDOdy8w9dcl3/hDgAIChKAsaIJMZoQN7fXz/UDvhYX/RkrRwVQFlCQAIwUiCRVqhG5ceEOJ0kA+VCQAAwTGEySGw8vqKAX9OgPA4AMBQnAGKmMFIik1E+PZJ2tntDIBC7cASihIAEYoy8c39xer3HeK52WhCfuAJRQkAAMQGcX+VrqtP8T+sOYlgQgQ0ECMMCsE48KotOSUhnJjCEBlB0UJIBS+YOjna3ugs8y5KPTknDhDoBCQQIoSTQhpjJSzipB2vlaXKmMhKcbAAgKEkCJ6LMMuv/5XIuuAlQhFCQA/QKDyblWCdKObgE1CQAFCUCnaELUPvFIXWerBxfuAFCQAHTyB0eN6kru5h1tDbf19g8bsjWAMoWCBFC0VEbqOTokStMlXqxTWrPsdkJmdvZ9hqfAoWqhIAEUJ5oQf/7e+UAk6WsuYhqsFt1tCwfGJ/f/KYZl7qA6aVrmBACowGAyEEkNjE8KHq6tYb6xG29rmC94+dOfXxGlaZLXcBag4uEMCUCTVEbyB0cDkdRYOksIEby8gdfrKDfvoEvhjaWzgUiqt38Yl++gqqAgARRGq5Hg4Tpb3Y0up+DhCSEa11HVzs07OEdNW8N82jNJ8HKBSBKL3UH1mDczM2P3GADKRl847uYc0aRIa4bh2/cHR928w805UqJkxvYBWIYzJACtaOvxzhUewcO5OVPuvwoejqDNOVQrFCQAreT25IKXd/O1ZvwKwcsLHh5tzqE6oSABaBIYTLp5B32QQf7CcG7eQfskoc05VCEUJIDCctqTy4/DGU65WbQ5h2qDggRQWIlLeuuDNudQbVCQAArQ0Z7cKGhzDlUFBQmgAH3tyY2CNudQPVCQANTobk9uFLQ5h+qBggQwpxLbkxsFbc6hSqAgAcwp/1kGSZI2bNiQzWatHIbGaUm2jA3AQFjtG+Am0YT4RnDUf2Z009frO1fcdLEuFott27YtEAhYPyo682nHgU/OJzKCl9/e0ZhzW8vGsQEYBWvZAXzFHxx95MAn8svOVvcffny3/HLnzp1dXV3bt2+PxWJOp9PisW145c+BSEp++frWO5X9au0dG4AhUJAAvpKT9Akhf/jxqpxzkfr6eluS/rzd7ylfCl5u6Kl7c37GrrEBGAL3kAC+klONCCGMPErgD47mvIPVV6HyoCABfKWz1Z33DhNtW/OHsaOjycaH0QHMgIIE8JU99y9XvmQn6Qte7ol1S5TvbO9otGswACbBU3YAX3Fztb/Y9LUrGYkQ8s2WOqbWR/A1172+9c7zCZEQsszLuTlT+l8A2AgFCeArfeG4fFaUykh94XgoNpGzil08bkObInq7SH6s7npLdS+Xs+i4LWMDMAou2QFcl7NKEJ2OysiaPTnr6WE9IahIKEgAhMyxShDN+7Z3bu0Lx2m/PuWbaHMOlQcFCYCQuTse2Z736W/PHxvanEPlQUECIIHBZP4pCGV73g9EknP1BqRjRk2CioGCBNUumhCV7cnz0bwfGLThhg39pSqPnne2erAQOFQMFCSodoFIUrko3Kw6Wz2hkQmL834qI6lXSnL9LpcLJ0lQGVCQoKrR7uAFZ7+6eUdnq8fip9roba2cB7vz+Vrq3LzDlhM4AGOhIEH1ojON1E9BZHQ2Ei1gFqC/KGcK1Fw2t9eHRiaYmsYLoAMKElSvvnC8s9Vd8BRERqclWZP3cyYeqaMncLhwB+UOBQmqFL0hVFR7csumo+ZM0dWC/rBlJ3AAZkBBgipV1CmIzNfiMvuptlmn6BbE1LoSAPqgIEE1mnXtAy0suDim/bZWDkbWlQDQDQUJqs5cax9oZOp0VJUpulrYvq4EQClQkKDqqKx9oJFJ01ELTtEtyPZ1JQBKgYIE1aXg2gdamDQdVcsU3YJsXFcCoEQoSFBFtKx9oJHh01ENqZSULetKAJQOBQmqSG//cHebV/vEI3Wb2+sPhC6OpbOlb2osnT0QGjekUhJC3LxjzbIF/uCoIVsDsAwKElSFVEb6+XvnQyPpNctuN2qb9Im7J38/WOJ5UjQhPvbbAV9znVGVkhCyZtnt0WTmyd9HsHwDlBEUJKh80YTY2z98ZOCyUacgMjot6UBoXHdNCgwmf/7eeUKIgZWSWrP09lAsvf9PMdxPgnJh2CcyADYFBpOBSCo0khY8nOAx4A6NUqPL2dYwPxRLByKp0MjEjo4m7Wc5dCW9aEIcGJ/0NbsMuXuk1NZwW6PLGRpJi9I0KXJNCgBb4AwJKlYqI/mDo4FIKpWRxKlpwcu7+Vpjf4Wbd3COmkaXc2B88vqv03Y6Qk/aogmRVko37zDweh0lePnGBbeK0jR9lKO3fxiX74BxOEOCypTKSIFIUvBwdGGFRpdTlKYNPwshhAheTpSmOUcNvR4YTWaiCVH9F0UTYjSR6Wx1E0I4R40oTWtc1bsotFgKHt7NO3Z0NKUyUiiWFry8GTsBwBAoSFCZ6BRRcmPtAzfnCERShp+FEEIEDxdNiDs6mvrC8Z3rlmgpLfJaDP7g6NZVi016HM7NOwQvR//LoZG04ffPAAyHS3ZQyeS1DwQvb8ZZCCGEblnHekKBwSStGYKXEzy8GWMjhAgeHm3OoVygIEElk9c+cPMOk5K+vOXOVo/2deSUU3TNeKKBEjwcPUlCm3MoCyhIULGUax+4eYdJZ0jylotaCLwvHJdXCZIvrBmuc4WHbhltzqEsoCBBZTJwlSDtNOZ92kZPPisyqRrlQJtzYB8KElSmYtuTG6Vg3qfTj6x/xABtzoF9KEhQgegpiC1TQWneV+ncalelJGhzDsxDQYIKFIgkdbQnN4rg5eZ6qo2+adeiCWhzDoxDQYJK0xeO+5rrbJz+qdIlry8ct7FSErQ5B7ahIEFFoQ9e275u26x5vy8cL6U9uVHQ5hyYhYIEFSW/PbkkSRs2bMhmDehaVBS6ELic92kNUI7t5Zdf9vl8bW1te/bssXJgyhM4lbJk136Daoalg6Ds+YOjJyKpQCTpa3Z9s7lO6PjqFCQWi23bti0QCFg/KroKw85Dn/3XSJoQ8s1mV++mr8nfPXnypN/vP336tNPpvO+++w4ePPjQQw9ZNjY682nnoc9+2T8seLk9XctzWqfbuN+gmqEgQXnzB0cfOfAJ/Zount1z/3L5u/v27du9e/fZs2dtGdsbwbFDN67aRROih3e8vvVO+nLx4sUvvfQSx3GEkI0bN549e9bKgkQI2XtsiJ4eRRPiIwc+Ebyc8uaWvfsNqta8mZkZu8cAoN+GV/4ciKSU7/zhx6tyHhyor6+PxWJOp9PaoZF5u99TvhS83NBT9+b8TDwev/vuu48fP97W1mbZwJRVnOpsdf/hx3fn/Jhd+w2qFu4hQaV5Izhm9xAIIST/6er8Rwlisdj69eufe+45K6sRIeR83q2jaBLPOID9UJCgvG2/+eYHIWRP1/JZf9Jina0e2vFI8Y5b+Yjdhx9+uG7duueff/7hhx+2eGzM7jSocihIUN46Wz3KxuQ7Oppsf65apsz7bt7xxLol8svh4eEtW7b87ne/e+CBB6wfmODllIOhq0tYPwyAHHioAcreE+uWbG6vfyM4+sS6JSY1u9ONPsVwPiGub3WnxK8WuNu3b18sFlu3bh19+eijjz7//PNWDkzwcH/48apoQvQ1u0IjaSt/NcBc8FADlLfe/uHN7fXyWVFgMJkSJRa6o0YTIu0hS1/SNVU7Wz0snMDRSUjyXkplJH9wdKfinAnAFrhkB2Usf+0DdpYhyFnSm53FtvOn6NIpUyyMDaocChKUq/zESlTXkbNSYDCZv0qQjjbnZshfzIIQgjbnwAIUJChXsyZWciPv29gdNZoQ5+oNaHveDwwm6flQzvtocw4sQEGCsqRsT56vs9UTGpmwK+8HIskdec9VU/bmfdpFd64H6tDmHGyHggTlp2B78oJd8syT0548n415n97WUukNiDbnYC8UJCg/BRMrIcTXUkcs746qsT25LXmf7gq6W+bCzpMXUJ1QkKDMaEmsFO2OamXe19ie3Ja8r7E3INqcg41QkKDMaG+6SrvkWXbhrqj25BbnfX9wNGfhornIbc5x4Q6sh4IE5UR7YqVyuuSZqqj25HLeN3VIVDQhpjKS9i66FhdyABkKEpSNYhMrsfDimI725LO2OTeDlttaOaws5AAyFCQoGzoSK7FkOuqsU3S1sGBdCR2VkuDpBrAJChKUh1nXPtDI7Omoc03RLcjsdSWiCTEUm9A3NkbWlYCqgoIEZUBl7QMtTJ2Oqj5FtyBT15VQmaKrhe3rSkC1QUGCMlBiYiWmTUctOEVXC5PWlSixUhK715WAKoSCBKwruPaBRmZMR9UyRbcgM9aVMKRSEqwnBNZCQQKmaVz7QAvDb9Rrn6JbkOHrShz46GLplZLa3F5/+vwXmJYEFkBBAqb9/L3za5YtMCSxEkIELzeWzh746GLpm0plpJ5j5wzs/L25vb73j5+PpbOlb6ovHI8mRUMqJSHEzTvWCAt6+4cN2RqAChQkYFQqI/X2Dw+MT3a3LTRqm/SpNn9wtMRrUKHYxI4DfzG2/aubdwgevufouRLH1heO9/YPd7d5jRoYIaStYX5oJP3k7yM4TwJToSABi0Kxid7+4SMDl33NLmO33OhyNrqc+0/FevuH9aXXvnDcHxwVp6Z9zcacgsjWLFswls72hS/pq0m0E7k/OCp4OGP3W6PL2f3fF4Zi6dJrOYAKY66EABioLxwPxSYGxifdvMOo604yN+9oXHBrKJaOJkR/cNTXXKd96Qd6QyuaEAfGJ9sa5rv5WmPH1tYwX/DwA+OTgYgjNDKxo6NJ+7VK+t9JZSRxalpo5o26yClrXOBsdDlPn79Cq3hR62UAaISCBAyRM74oTacy0ppltwse3vDf0tZwmzg1HU1m3LwjEEkRbemVZnxCyFg66+Yds/ZdLRHdrJt30DtJ2utlYDBJ/yO0UhpexQkhbu56IafP7xVbLwG0wN8TsCKVkUKxdGerR+jg/MFRN+cQpWnDkz4hRPBw0YS4xnV74wLn5vb6aEIMDCYL5v1oIkPnQu0/FWt0OQkhhqdjWuREabqt4TZfs8vNO1IZKZWR1H8RncC0o6MpmsjQf2LsqCjBy3OOGno/b0dHEx0YMWEnQDXDPSRghZt3dK7wyMsWbF21mJiT7wQvTwh57N4WQkgqI/laNJ2FXB9bJPnYPS2ClzPjLIRas2yBr9kViCTpbym4BwQvR8cfiKRoyTTjtJIOgz7HEYql6QITqEZgLBQkYIs8o9OMa2IUvTWlYxkCee0DwcOZkfQJIXTLOqaj0sUs6E4zY7/JWzZpXQkAgoIErJHXPqAFw4xf4eYdbs5BilyGQLn2ga/FZVKxFLw83XJR60ooF7MQPGaduNAtm7GuBACFggQMyVn7wLzLYr6W66VOe95XrhJE87IZA5O3rH1diZzFLMx7/k3esuHrSgBQKEjAkKKarpZCLica876BqwRpHBjR3Oa8LxzvbHVbfDsHbc7BDChIwIpi25Mbhf5G9ZsillVKJS1tzumwrZ8VhDbnYAYUJGCCjvbkRinYJY+eglhfKYmGNue2VEoKbc7BcChIwASjlvTWRyXv0xbjNi5MoNLmXF97cqOgzTkYDgUJ7FdKe3KjzJX3dbcnN8pcJ3B0tPaODW3OwVgoSGCzEtuTG2XWvB8YTJo3HUq7WfO+7ZWSQptzMBAKEtiGZrFZ25NLkrRhw4Zs1oDmQNrRvE+nJdF7WjmV8pVXXmlvb/f5fG+99ZaVAyOEdLZ66CnR9Z2W157crrEp5xerlCVbAgplByt/gA32Hh3ynxmNJkQ371jf6skpSLFYbNu2bYFAwPqBdbZ6dhz4ZMO/fESXY9hz/3L5Wx988MGrr7765z//eXJy0ufzfec732lpabFsYPRE7ZEDfwlEUoKXW+bhejetZGRsvpa6nmNDv/zjcDQhCl5ux7ealPuN2BpQKC84QwKrBSLJnmND9NN0KiMdCsdznh7et2/f7t27Fy1aZP3Yftk/fOjGh/1AJPXIgU/kb61cudLv9zudTo/H4/F4kkmrn3j+6aHP6JLe0YR4IpL65R+/auFq79gCkeShcJwGNJoQe44NsRNQKC84QwKrvREcy39H+exyb2+vtSP6iv/MqPJlNCEGIkk6Nprr33zzzf3793d0dLS3t1s6sOBozgUxZdK3d2wsBxTKC86QwGrRRMbuIcxu1qfsct5ZtWrVU089deLEiZMnT1o4NJL/YEX+UO0aG7MBhbKDggRWy7nBQAjZ3tFoy0hyCF4u//EK+Z1sNptMJu+6667u7u5du3a9+uqrlo7Nw+fUJOVQ7R0bswGFsoOCBFbrbPVsv5FMBS+3qb3errUG8u3pWi54rud9N+/4xaavyd86ePDgj370I/r1Bx988PWvf93KgQle7om/XqJcgm9P11dlwN6xsRxQKC/zZmZm7B4DVJdoQqTrMtCZNP7g6Ob2+vxLUvX19bFYzOl0Wjk2+viyr9kVTWYED98Xju9ct4R+a3p6euvWrZcvXyaEeDyeAwcOOByW3oLt7R/e3F5PBxZNZFKiJD+Sbu/YWA4olBcUJLCaPzhKG4/SlzSdyXnfRvkjofVJORWJzqSxPqsGBpPKCkRbTih3o41jYzagUHZwyQ4slb/2gXI6qr3y1z7IX4bA6XRan/HzF7OYtd2tLWNjOaBQdlCQwDr5ax9QLHTFzl/7gMyR960362IWOtqcG47lgEI5QkEC68y1pLftXbHnSqyEgbyvbE+eg7a7tTHvMxtQKFMoSGAR9aar9nbFVrYnz6e9zbnhctqT57A377McUChTKEhgBfkmvMrP2NUVu2B7chsb/xRsT66xzbnhWA4olC8UJLCClqardn3e19J01Za8r6U9udzm3OK8z3JAoXyhIIHptLcnF7ycxc11/MFRLe3J5bxvzagoje3JabtbK8fGckChrKEggem0tyefqzuqSbQnVqLa5twMfeG4r7lOY29AX4vLyrzPbECh3KEggbn6wvGi2pPTSS3WpDDtiZWaq8254ehv0VgpibV3uVgOKJQ7FCQwEU2sxXbatqYrdmAwWVRiJRZ+3tfRnnzWNueGYzmgUAFQkMBEOhIrsWQ6av7aBxpZsAxB/toHGlmQ95kNKFQGFCQwy6xrH2hk9nTUWdc+0MjUZQjoFF19q2WbnfdZDihUBhQkMIXK2gcamTcdVWXtAy1MfZpZfYpuQeblfZYDChUDBQlMUWJiJabdqFdf+0Ajk5YhKDhFVwuT8j6zAYVKgoIExjMksRJzpqMWXPtAIzOmo2qceKTOjLzPckChkqAggfFog5zSt0OfajsycNmovD8wfpUUWvtAIzot6cjA5dI3Re3/U0zLFF0tBC8nTk0bmPeZDShUGBQkMFIqI+3s+3TNsgWGJFZCiJt3tC2+7efvnS99U6mM9OTvBw3sru1rcYVGJgw5F+kLx0MjaUMqJaF5/xv1P38vWnreZzmgUHlQkMAwqYzU2z88MH61u22hgZtds+z2gfHJnqNDpaTXUGzisd8ONLqcRiVWQoibd6xZtmD/n2IlPkTgD47u/1PM2J3W6HK2Ncx/8veDpYyN5YBCRSr1SjoAFYpN9IXjp89faWuYX/odGqVGl1Pw8KfPX/EHHb7mOh2nEf7gaCg2kcpIW1ctNnBghBBfs8vNO/afioVGJnZ0NBX7H09lJH9w9PT5K27eIXh4Y8fW6HKePn+lL3yJ6LpKyXJAoVLd0tPTY/cYoOz5g6Onz38RTWQct8x78OuL2hrmG7v9sXT2wpVrF65cm8hOE0IEr9bcncpI+0/FxtLZgfjkikW3dbZ6GhcY3OQ7PDY5ls4SMi+aFMWpae1jC8Um/MHRsXR28HLmW0sWdLct5GqNvGIxce3LS5PSwPikNE1CIxNtDfO1b5/ZgEJlwyU7KAm9qhNNiKI0PZbOGp65KMHD0ZzFOWoCkVRv/7CWqz2h2ERv/zAhRJSmyY1F1YwdmJt3tDXc1ui6dSx9zc07ApGUxktk/uBoXzju5h2iNO1rdtFNGTs2wcu7eYebd6QyEj0V0zI2lgMKFQ+X7KAkdGUzwcv5g6NtDbdFE6Lhl54IIYKX5xw13W0LUxnpyf9rGc2wRDWJpzKSm3f03L+cZli6rI7hSZ9qdDnbGm4TPNzm9nq6eI965YsmxM5Wj9DBBQaTnKNmLJ0t/YnqfPQ/S3canUKkJekzG1CoBjhDgpL4WuoEL0efMKazTQ0/CyE38hTNqvJSb+rJSz4fojM6tbdyKJbg4QghOzqaQiPXF4Ao+Ivoz9C1D7auWix4OTOSPt0Dgoej60poPEFkNqBQDVCQoFTy2gf0ApEZaUXecrHLEMgzOun1K8MHRggRvDxdsKfY6ajyThM8ZuViemWs2HUlWA4oVDYUJCiVcu0DA2f55KBbLjbvy2sfmPEYGyVvuahlCJRrHwhe3qyztxtbLmpdCZYDCpUNBQlKQhe9lp/cNeNeSM6Wted9ZXtyN+8waWzylotqc65cJcikaqTcsvY25ywHFCoeChKUxJDl14qiMe8X1Z7cKBrbnCsrpWU0tjlnNqBQDVCQQL9iu1kbRUveL31Jb30Ktjm3pVISbRfHWA4oVAMUJNBJXzdro6jnfR3tyY1SsM25XZWSFGpzznJAoUqgIIFO+rpZG0Ul7+tuT24UlbxvY6WkVNqcMxtQqB4oSKBHKd2sjUIze/7qA6W0JzfKrHnf9kpJ5m5zznJAoXqgIEHRSu9mbZTOVk9oZEKZ91lIrGSOvM9CpSSztTlnOaBQVVCQoAj+4Gg0Ic7azVqSpA0bNmSzWSvHQ2/UByLJaEL0B0fnSqw/+9nPnnzySSsHRhR5P5oQA5EkfaxZWSlPnDixdu3a5cuXP/PMMxaPTZ6OqhJQYsd+ywnorD9jy18aWANrdYAm/uDoIwc+IdfngXIf7f628ruxWGzbtm2BQMD6gfla6nqODdGx/ZT/bHteD4hTp0794he/+P73v2/92Ny84//2fyyv0vb2I9+QvxWPx3/4wx/29/c3NTVt2LDhyJEj3d3dVg4slZE8T/eTOQJK7NtvyoDuPTa041tNe+5fLn/Xxr80sADOkEATmiAIIamMFBqZyPn0um/fvt27dy9atMj6gfmDo4duXBlLZaRD4bjygs/ExMQ//uM//vM//7P1AyOE/FKxiHUqI+09OiR/69ixYw899FBTU9P09PTx48e7urosHtveY0PywPIDauN+UwY0mhD9Z0aVAbXxLw0sgIIEhSkz6fV3jt30Tm9v7wMPPGDhiOYcSTQhvqHIrY8//vgzzzyzcKGRDU81oo8wKN8JRFLy9M/+/v7Lly+vXbt2zZo1mzdvtvgCVMGA2rjf1ANq418aWAAFCQpblveMAF3imgX5I5FH+9Zbb82fP9/KS2EFyevpTU9Pnz179uTJk2fOnKmvr//Vr35l5TDUA2rvflMJKFQ83EOCwvLXktnOwNNi1J77lwde+Uj5jvwk2+7du++4444HH3zwwoULV65cWbly5U9+8hPLBiZ4uc5Wt/IkaUdHk/xQQ3Nzc21tbU1NDSGkq6vL4psi6gG1d7+pBBQqHgoSFCZ4uSf+esmJSDI0MiF4uWUejp0cIXj4Te31/zWSjiZEN+/Y/q2vBvbxxx/TL/7t3/7tww8/fPTRRy0e2577l5OjQ7QmbWqv397RKH+rq6tr165d9Ov+/v6Ojg4rB6YeUHv3m0pAoeKhIEFhNDV8tPvbtBdqXzhu4/o3OaKJzI6ORl/z1wghbt7RF47LDVvr6q6vJ83zfG1tLcdZfeUnmhBf33oXIUTwcvTpavnUZO3atV1dXXfffffChQvnz5//D//wDxYPTCWg9u43lYBCxZs3MzNj9xiAdf7gaGer/Atq1wAAIABJREFUR04KdP4KbXRt78Boe/IexWPBodhEIJLcuW6JjaOiAoPJaFJUnnn0heNuzqFcVlWSJEmSrK+UCCiwCQ81QAH5MzrZaarWF47nXDzMX4bAFrNO0c1fhsDhcFhfjRBQYBYKEqiRu1nnvM9CmshPrBQLXbFnXftAXobArlERBBTYhoIEapTdrHPYmybmSqyEgc/7yvbkOeibNnZHRUCBZShIMCeaN+dqJWfv532VxErs7oqt3nSVdke1Je8joMA4FCSYUyCSVO9mLXg5LV2xDUd/o0rTVRu7YhdsT067o9oyNgQUGIeCBLPrC8d9zXXqj13Z1VRN/RSEsqUrtsb25L4Wl/V5HwEF9qEgwSxoM+mCiZXYkSb6wnGNTVet74qtcXqW9TdFEFAoCyhIMIuiullb+Xmf5iONY7P4835R7clV2pybAQGFsoCCBLkCg0k379A+R9LKz/tFJVZiYVdsHe3JZ21zbgYEFMoFChLcRF83a8HLWTCLRV97cmu6YutoTz5rm3PDIaBQRlCQ4Ca6F6mjs1jMSxP6Eiux5GnmuWZ0FmTBdFQEFMoIChJ8RWVGZ0Fmp4lZ1z7QyNTpqCozOrUwdToqAgrlBQUJrqOJteDTtyrMm71YSmKlzJuOqj6jsyDzbtggoFB2UJDgOppYS1nvWZ69aHiaKDGxEtM+7xec0amFSXkfAYWyg4IEhGie0VmQGcsQFFz7QCMzliEoPbESc5YhQEChHKEgASGE0HY4hmzK1+Ia+yI7MH7VkK0NjF8d+yJbemIlN/K+Pzha+qYof3BU+8QjdTTvGzs2BBTKDgpStUtlpCd/Hylqnoo6N+/oXOHpOXqu9I+u0YS4s+/Tzd8wrDWtm3e4eceTv4+Ufg3K8La5vhbX6fNXSr+ZhIBC+UJBqmrRhNhzdCgUS5d+3UmpreE2QsjP34uW8kBzYDDZc/Scm3fQrRmlu23hwPhkb/+w7vRK+6saeApCuXlHW8P8/X+K+YOjutMrAgpl7Zaenh67xwD2CAwm+8KXBuKTKxbdtvkb9VytkZ9OLk1OhUYmxtJTY+msr8VV1L9NZaQDoYuBSGogfvUf1jS3Ncw3cGCOmnmnz38RHpuQpmfEqWnByxc7tt7+4VAsTQjZ8j8WNy5wGjg2cWo6PDZ5IXVtLJ1ta5hfbEQQUB0BBabgDKka0c/4gUgqmsiQG9c9jP0VbQ23NbpuHRifjCbE3v5h7R/56diiCTGazPiai0t8WtBP6FxtTSiWDkRSRd2BCAwme/uHRWk6mhQFL2/UNTGZ4OUFLz+WzkYToj84qv10BAHVF1BgDQpS1aEJIpWRBC+XEqW2hvmlTAeZi+DlG11ON+8QpWk379CYXgODSZpQGl1OzlHj5h2Cx/gPvPTiGLnxvLWW9Ep3WmhkQvBy4tR0W8N8OjzDB8Y5agQvT3daaGRCS3pFQHUEFNhk8BEF7EtlpJ3rlhBC/MHRHR1NodiESTmCENLdtjCVkeiE/FRGSmUklSQeTYiCl+9c4aGXxbauWhyKTRh+FkIIETxcNCHu6GiKJsUdHU3qo5LRpepMXR1AfhJB8HK+Zpevpa7gTiMIqN6AAoNwhlR1lNMwjb31rUSvGvmaXfIyBAWvI8mPUNMZnfTyjhmZhd5moDdCQrEJLb9C/hl54pFJKU/wcL6WOnk6qpaLbwiojoACm1CQqhRNrPQjuRkfWgmdW9NSV+wyBPLaB/SfmzcwHcsQyDM6O1s9ZpyFEHobycPrmI6KgJq3rgRYBk/ZVSN/cNTXXHfjWal5JuUvwctztTVcbY3g5fvC8TXLbtc4tu62hW7ewdXWcI5bzPi0y9XWNLpupWMTp6YH4le1PPcVTYihkYmtqxbTl3SEho9N3rKbrw2NTLj5Wi17AAHVEVBgEM6Qqk7OojImfWgliosz2rti53SzNimxKsemvTuqchqsGY+x5WxZ+6KrCCjRFVBgEApS1TF2fQGNfC0u2qxa5WeK6mZtFI15PyexWkNjm3MEVMnKdrdgOBSk6hIYTFqfWMmNZcfU00Sx3ayNUjDvRxNiKDZhy9gKtjlHQPNpLOTAIBSkKhJNiPp6dBqCpom5Jq/o62ZtFPW8r6M9uVHU25wjoHMpWMiBTShIVcTGxEp1tnpm7Yqtu5u1UVTyvr2Jlai2OUdA56JeyIFZKEjVgj6na2NiJXM3VSulm7VRZs37tidWatY25wioOpVCDsxCQaoKtJu17YmV3HgGTDmLpfRu1kbJz/ssJFYy2416BFSLWQs5sAwFqZJFE+Leo0P+4CidKp+TWCVJ2rBhQzabtXhUdPZiKDax9+hQIJLMb7r67LPPPnjDqVOnLBuYnPfp2qazJtacnXb48GGfz3fXXXcdPHjQ1LHJSx5oD6hlYyuXgM76M3YdBTArrLFRsfzB0UcOfEK/dvOOtx/5hvK7sVhs27ZtgUDA+oG5ecehcPynhz4jhJBjRPByPfcvV/7Ar3/96+PHj3McRwhxuYxfH1pFNJlR7rTtN9+hydlpsVhs165dH3zwASFk7dq1q1evvuOOO0waGF07TntALR5bWQR077GhHd9q2qMYm41HAcwKZ0gVSz4OCSGpjLT36JDyu/v27du9e/eiRYssHxehjRLkl9GEqLwJIUnS5OQkx3Hnzp1buHCh02lkw6GCDoUvyV+nMtKhm++K5+y0QCCwfv16j8fj8Xi+973vHT582NSxXc/4N8amHlArx1YuAY0mRP+Zm86TbDwKYFY4Q6pM+RcoosmbHoXq7e21cDg3OaFIXtTeo0OdP75+kScYDKbT6R/84AdTU1MXL15899136+utu1OSs9/opR75SbacnfbRRx91dHTQr1euXNnf32/ZwEihgFo5tooJKNgOZ0iVybxVn0sneHIfDFN2+Vy6dOmhQ4feeeed48ePd3d3v/DCC1aOrbPVnTe2OR9jE0XxlltuMXlE1xUbUCvHVjEBBduhIFUmwcvlHIp7upbP9cMW2543dUY5tsWLF99zzz3069WrVw8PD1s3sryxdba6VSrBqlWrPv74Y/r1xYsXBUEwb2DFBtTKsVVMQMF2KEgV64l1Sza11xNCBC+3qb2eneNQ8HK/2PQ1etlkc3v9nq7lyg+tr7322ne/+1369ZEjR9auXWvx2Da119MeE9s7mvJTrVJHR8f7779Pvz506FBXV5epYysqoFaOrWICCrabNzMzY/cYwHi0R+fOdUvok8Gh2EQgkqR9RZXq6+tjsZjF95kDg0na2ZO+9AdHBQ8nL1YtSdKWLVvS6XQ2m126dOmbb75p5dj8wdHOVg/Np7Q1+Ob2+pyLPMqd9swzzxw7dszhcHznO9958cUXzRuYjoBaNrZKCijYCwWpMvmDo7QHtvIdZZqwS05iJTfSxI6OJuWsGjovxOIcEYpNhEbSysV48t/JZ81Q9QXUgrFVXkDBRrhkV4FmndHJyKz1/LUPZu0X4HQ6LU5es659kL8MQT4Lhqo7oBaMrfICCjZCQapA+VPlCRt9YuZaVKbYrthmmHXtA3JjGQJ7CzkCqgPLAYW5oCBVGn9wlN7Czf8WfdPGNflnTazkRnOd/DU6LUP3yayXv2h3VBvHhoDqwHJAQQUKUkXJ6WadQ0tTNfPQT6xzzQLR3hXbDHMlVsrGrtgIqD7MBhTUoSBVlIIrQNuVJmg3a/U78Fq6YpuhYHtyGy+OIaA6sBxQUIeCVDk0drO25eOhlm7Wtnzepxmz4Nhs6YqNgOrAckChIBSkCqG9m7X1Hw8Dg0k379CyZIv1aUJLYqUs7oqNgOrDbEBBCxSkClFUN2uaJqxpplls09XOVo9l13mKak9ucVdsBFQHlgMKWqAgVYKijkOqs9UTGpmwIE30heNFzUO07PO+jvbklnXFRkB1YDmgoBEKUtnTcRySG2nC7Idf6UyUYtdXpmnC7Fks+tqTWzC/GAHVh9mAgnYoSGVvrgmABZk9a51Olde3qKvZsxfnmtFZkAWf9xFQHVgOKGiHglTe6HGoe4U6U9OE+jwVdWZ/3tedWInJyxAgoPowG1AoCgpSeQtEkqX0lTBv1rrKVHmNBC9n0kNQKmsfaGHqMgQIqA4sBxSKgoJUxvrCcV9zXYkdME2axVLKJ1bKpFks6msfaGTSdFQEVAeWAwrFQkEqV1qmymthxjX0glPlNTIjTRRc+0Ajw5chQED1YTagoAMKUrmircYM2RTNNfv/FDNkawPjV0OxCaPG5mtxDYxfHRi/asjW+sLxRpez9MRKbnze9wdHS98UhYDqwHJAQQcUpPKTykg9R4e42hpDjkNqzbLbT39+pfSPrtGE+OTvBztXuA0ZFSHEzTvWLFvQc/Rc6fec+8Lx3v7hrasWGzIwQojg5URpemffZyU+RICA6sNsQEG3W3p6euweAxQhmhB7/zj8/lDq/1m7pHGBYR3P6m69ZWD86m//a/zS5FRbw3yuVs8nlcBgsrd/WJSmH7vnv+nbwqzcfO1vz45HEyLnqBG8vI4tpDLSgdDFA6GLW1ct9rW4jBoYIUSanjn8l0sXrlxz87X6woGA6tgCywGFUqAglZPAYLIvfCk8NiF4+S3fbDAwRxBCpC9nzlxIpzLSWDrLOW4p6mikCeL051+ExyZ9La4H71pk4MC42ppoQjxz4YtLk9LA+NVi02s0Ie4/FRsYvzqR/XLNstvbGuYbODZHTU14bHLw8lVCiDg1XWx6RUArLKBQIhSk8kATRGhkYiydnch+uWLRbd1tC43+JfOiSXHwUqbuVselySntRyNNEKmMRBNr5wq3sTmCEDJ4OTORnb5wRXTztQPjVxtdt2qcN0ozvihNh0bSvhbXXy13G/6xNzw2OZbOitLMpcmpaFIUvLyW9IqAVlhAwRDY0WUgmhDpvVZfS5049aXg4Q282SBz8w56CYVz1AheLpoU/cHRghfTA4PJvnDc11LX6HI2um5tdDkFj/EfKgUP5+Ydbs5Bb9eHRtIF1x+jywqERiY6W93i1LTg4ej/y9iB0UWv2xrmi1Nf0mUC+sLxgk9qIaAVFlAwStHLk4D1BC+3c90SQh/E+kZ9KDahY12Zgug21yxbQAgRPLyvvfAqLHT+B31Suefo0FZfQyCSMnxghBCaVXd0NIVGJuh6ZVpuO9MHw6IJkWaWaEI0Y78JHi6aEHeuWxpNZjSuOoqAVlhAwSg4QyobdALg5vZ6wcuZ8aGVECJ4OV+zS/usdTkd0Kny9PaySR/2CSG+Fpe8DEHBTCT/AJ3R6Wt26VjoTAvBy/ta6nQsQ4CAVlhAoXQoSGVDngAoeAyYojgruuViZy/KU+Xp5Q6TPuzT9UaLXYZAXvtA8HJuzpTrAfTSk45lCBDQCgsolA4FqTwop8oLXt6MHKHcclGz1pVT5Y2aPpnPzdeSIpchUK59QHOfSWOjW6bpW+PYENAKCygYAgWpDNDjUE4NJn2aVm5Z+8fDwGBSuaiMSYmVKDoLaO+KndPN2qSxuXmHvGWNXbERUFJZAQWjoCCVgZzj0BpaumJHE6KOVnKl05ImAoNJ+gnXslERzV2xEdAc5R5QMAoKEut0dLM2SsGu2IFI0pbHkAqmCdp0tcTVqfUp2BUbAc1X1gEFA6EgMU1fN2ujqDdV09fN2ijqaUJfN2ujqHTFRkDnUqYBBWOhIDHN3uOQzN0Vm85StCuxUnOlCd3drI2icqMeAVVRjgEFY6Egscv245CatSs27WZtY2Ilc6eJ0lvJlW7WrtgIqLqyCygYDgWJXSwch2S2rtild7M2Sn6aKLGbtVHkrtjKvI+AFlReAQXDzZuZmbF7DPCVaEJ8IzhKCLmdd/ia63JyhCRJ991339GjR51OSxfGp9dzBC/3RnBM8HC38w66voD8AydOnPinf/qnkZGRv//7v//Zz35m8dh6+4fnERJNipvaF0UTIl2VR5az05599tmTJ0/Sbz311FP33HOPeWMLDCajSfF8QiSzBfTll19+9dVXRVH8u7/7u7179xJCDh8+/PTTT2ez2b179z700EPmDaxgQIl9+009oDb+pZGbA7q9oym/TNp1hFYMrGXHkEAkueGVj+SXr2+9U/ndWCy2bdu2QCBg9bAIcfOON4Kj8rJmgpeja6vQl/F4/Ic//GF/f39TU9OGDRuOHDnS3d1t2dhSGWnvsSH6tT84Ki8TR+XvtF//+tfHjx/nOI4Q4nKZNbPy+thE6ZEDn8gvlQE9efKk3+8/ffq00+m87777Dh48eO+99+7ateuDDz4ghKxdu3b16tV33HGHSQNTDyixdb+pBNTevzRyc0B7jg29vvVO5UOJNh6hFQOX7BiiTF6EEPmwpPbt27d79+5Fi4zsTKNRIJJULrIZTYhvBMfkl8eOHXvooYeampqmp6ePHz/e1dVl5dhy9lI0ISovRuXsNEmSJicnOY47d+7cwoULzf4Y+9NDn8011MWLF7/00kscx9XU1GzcuPHs2bOBQGD9+vUej8fj8Xzve987fPiweQNTDyixdb+pBNTevzSiGlBi6xFaMXCGxIpAJJkzQYQeivJdh97eXjvGRQghOdmKEKJM+v39/dPT02vXrp2ammpoaHjrrbfo52hr0D4OSicGU3PttGAwmE6nf/CDH0xNTV28ePHdd9+trzfruTL1gK5YsWLFihWEkHg8vn///uPHj7/66qsdHR30J1euXNnf32/SwEihgBJb95tKQO39S2P5CK0YOENixazrPbNwD5wQsr2jMecd5cCmp6fPnj178uTJM2fO1NfX/+pXv7JybPkTOdevcM/1w0uXLj106NA777xz/Pjx7u7uF154wbyBaQloLBZbv379c88919bWJoriLbfcYt54lNQDms/K/aYSUHv/0lg+QisGChIrBC/X07Vc+Q47vVg6Wz2drTdleWVGa25uXr16dU1NDSGkq6vr448/tnJse27eaUQ1RyxevFi+G7969erh4WHzBlYwoB9++OG6deuef/75hx9+mBCyatUqedddvHhREATzxqYe0HxW7jeVgNr7l8byEVoxcMmOIetXuJ/ILLkiSoFIcn2rZ/u31HKExTa11y/z8ucTmc5Wzwwhvuavbmt3dXXt2rWLft3f3y9fd7KGm3c88ddLyDxyKBzf1F7va1ab5fPaa68dPnz4P//zPwkhR44cWbt2raljUwno8PDwli1b3n77bZ/PR9/p6Oj4l3/5F/r1oUOHXnzxRVPHphLQfFbuN5WA2vuXRtg+QivEDLAheXVqz5FzyatT8stfnPhcfilbtGjRtWvXLB7bRxfSr//vkblezszMPP3006tWrfqbv/mbTZs2ffnll1aO7fX/PfLRhfRcLyl5p01NTW3atGnjxo1/9Vd/9f3vf9/UgakH9PHHH6+trXXdsHv37pmZmaeffvrb3/72vffe+9Of/tTUsRUMKGXLflMPqI1/aSwfoRUD85BY4Q+OCh5OOU8lFJsIjaRZuCzQc3Roh2LWBZ3FktOyU5IkSZKsvMlMZttFqYzkD47u6GhSWXQgm80SQsx+xE5fQK0Zm5aA2jI2LQG15S+NsH2EVgzcQ2LCrFPlGVmtJH+q/Kyz1h0Oh/U5In/tg/xlCPI5nU6zM77ugFowNo0BtWVsWgJqy18ay0doJUFBYsKsi8rIacKWIVFyN+uc97XkfbPNtahMsV2xzYCA6oCAAgqS/ZTdrHPQNGHjMsMqK0AX1RXbcHMlVsLA2swIqA4IKBAUJNvldLPOZ2OayOlmnUN7V2wzqPdK0N4V23AIqD4IKBAUJNsV7GZtV5rQ0s3arjShnlgpLV2xzYCA6oCAAoWCZCeN3azpsWpxE2WN3aytTxNaEivR0BXbDAioDggoyFCQbFNUN+vOVk9oZMKyNKHxOCR2pAmNiZUU6optOARUHwQUZChItimqmzW9r2vN8zxFHYfE2jRBH7HV3q5trq7YZkBAdUBAQQkFyR46ulnTH7Zg0kNRxyFlTZqg8ze1J1Zi4QNaCKgOCCjkQEGyh75u1hY0UdZxHBKr0kRfON7Z6i4qsRKrZi8ioDogoJADBckGc00ALMiC2Yv6jkNyI02Ydw191qnyWlgwexEB1QEBhXwoSFZTmQCohamz1uknVh3HITH/4VfdiZWYPHsRAdUHAYV8KEhWK/aieQ7zrqXQyX26j0NiZppQmSqvkXmzFxFQHRBQmBUKkqW0TAAsyKTZiwUnAGphxsfDglPltTDp8z4CqgMCCnNBQbKOxgmAWhg+ezEwmHTzjhKPQ2LOx0NDEisxIU0goPogoDAXFCTr0LYuhmzKzTvaGm7r7Temk/RYOnsgNG7IcUgIEbxco8vpD44asrW+cHwsnS09sVKdrZ4jA5cHxq8asjUEVAcEFFSgIFkhlZF6jg6J0rRRxyEhZM2y2wmZ2dn3WYnPmEYT4mO/Hdi6qsGogRFCOld4Dnx0sfSPrkcGLvf2DxvYAI1+3u85eq7EWZ8IqD4IKKi7paenx+4xVLhoQuz94/D7Q6kH71rU3lTcdJCCDv/l0qXJKWl6RvDyOv55YDC5/9TIRPbLx+75b1ytYZ9O6m69JTw2+b8+S4yls20N83VsOZWRDoQu/n9/HhO8/NZVi40aGCGk7lbH4U8uDYxfdfMOfTsNAUVAtSsxoNUGBclcgcFkX/hSeGyi0eV88K76xgVGNtx01NSExyYH4pOiNEMIKeovniaI059/ERpJ+1pcD961yMCBEUIuXLk2MH5VlGYuXLkmTk0XNbZoQtx/KjYwfnUi++WWbza0Ncw3dmwD41cHL2UmstPhscli0ysCioBqV0pAqxMKklloggiNTIylsxPZL9sa5ne3LTTwQyt15kL60uQUIfMuTU6FRiY0Ho00QaQyEj0Ov7Vkga/FZezAUhkpJX45MD5Zd6vjwpVrRPPRSBMEIeTMhS/aGub7muuMPYy52poLV65NZKfH0tfqbnUMjF/VmF4RUARUB30BrVooSKZIZSR/cLSt4TbBy12anOIct3C1Nd1tC439LVxtzftDV9x8LVdbs+V/NJB5JJoUxakZ9U95odjE6c+v+JrrBC8nSjNuvlbwcoZ/aCVkXnhsclGdU/Bwf7PSOzaRHRi/2ui6VeVoTGWkI//nsihNtzXcNpbO1t3qcPMOX4vL2A+thJBoUqRBWSMsEDxcSpQK7jQEFAHVQV9Aq1lxq0iBRm7esXPdEnJjqnw0KRa7YJdGgpdz8w4354gmMxqfqvK11NGVzXr7h+lMDsFj/JUE+v/t/u9e+n/f3FJ4bHRmCSEkmhBDIxOb2xcFIikDbzLLfM2uUGzisXta+sJxGiYtY0NACQJaPB0BrWY4eTSRPFVe8HBuzpw/dw9HdM1ap1PlfS11pU8DnBWdBONrcemYxUKnytOrLmakCbpNwcsVuwwBAoqAFkt3QKsTCpKJ5AmAgpd387Vm/ArBywsevthZ68qp8m7eYdJnQ3IjixU1e1GeKk/Tq0kDo1sudhkCBBQBLZa+gFYt3EMyS2AwSebRuQiEEOLmHSbdzKQfh928YyydHfsiq+V2bl843t22kKYtE242yAPj6X+50XVraGTCzdcWTJTRhNgXvvTYvS30pfotCt242hq6Za62xs3X9oXjcphUIKAIqD46Alq1cIZkipweneZ9aFVuVmMTZe3drEskj017V+ycbtamftKnX9BL/AWnVSKgBAEtbWAEbc41QEEyRYkLBuujpYlysd2sjaKlK3ax3ayNQrujqqcJBDQHAqoD2pwXhIJkPH09Og1RsImyjm7WRlHviq2jm7VRCqYJBHRWCKgOaHOuDgXJeKV0HiudShNlG49DUmjdaH3drI2i3hUbAZ0VAqoP2pyrQEEymO7mx0ZRaaJs73FI5k4TurtZG0Xuip2fJhBQFQioDmhzrgIFyUglNj82yqwPv9p+HBJFmsh53/bESuZIEwioOgRUH7Q5nwsKkpHyL5pLkrRhw4ZsNmvlMPInPeQch8eOHXtQ4cUXX7RybDmzF/O7Wb/88ss+n6+trW3Pnj3ymxbsyfw0kRPQV155pb293efzvfXWW/SdZ599Vt6Np06dMmlgBQNq79jKNKD2HgVapiXZkj1sNgOlGbqc6TlyTvifJ594+9O3Px5XfuvChQsbN24khFy7ds36gb398fj23/yl8//9cMdv/vLE258OXc7I37p27dqlS5cuXbr0+eef33nnnWfOnLFyYMmrU3uOnHui71Phf558ou/TPUfOKb/7/vvvr169OpPJfPnllxs3bvyP//iPGQv35NDlzJ4j52YN6OnTp1etWnXt2rVEIrF06dILFy7MzMzceeedFy5coDvT7LGpBNTesZVpQO09CmZuDugfBhM537U3e9gFa9mVxB8cfeTAJ/TrX/5x+L9G0soP1Pv27du9e/fZs2dtGdsv+4cDkRQhhERShBBfS90O7/UZIU6nc+HChYSQZ599dvv27atXr7ZyYG7esffYkDxIwcv13L9c/u7ixYtfeukljuMIIRs3bjx79uxDDz1k2Z4MRJJfje3mgK5cudLv9zudTqfT6fF4ksnk4sWLJycnOY47d+5cR0eH2WNTCai9YyvTgNp7FJCbA+oPjr6+9U7lnC17s4dd5s3MzNg9hjK24ZU/X/+TuuEPP16Vc/W8vr4+Fos5nVav7ztv93vKl4KXG3rqXuU7n3766f333x+JRGpqLL1yq6ziVE/X8j2KFEbF4/G77777+PHjbW1t9B0L9mTBgL755pv79+9va2v713/911OnTv3t3/7tmjVrpqamLl68+O6779bXm/iUc8GA2jW2sg6oXUcB0RBQYl/2sAvuIZUk52+d3Hi+yHb+4GjOO/lrO77yyiuPP/649cfhG/ljS+butFgstn79+ueee05OXtYoGNBVq1Y99dRTJ06cOHny5NKlSw8dOvTOO+8cP368u7v7hRdeMG9gWgJq19jKOqB2HQVaAlqFUJBK0tnqznvH5gc9jDjeAAADGklEQVR4qPxh7Ohoynki69///d+3b99u4aCu2664LkGtv3k3fvjhh+vWrXv++ecffvhhC8dFiGpAs9lsMpm86667uru7d+3a9eqrry5evPiee+6h3129evXw8LCZA1MLqL1jK9OAUnYdBVqO0CqEglSSnOsS7PxJCV6up+umsW3vaFS+DIfDTU1N9Bq6xTpbPcq9JHg55aXz4eHhLVu2/O53v3vggQesH5tKQA8ePPijH/2Ifv3BBx98/etff+2117773e/Sd44cObJ27VrzBqYeUHvHVqYBJbYeBQWP0OqEe0iliiZEesli+xzVyMarwPLY8i/ov/XWWwcPHvzNb35j/agIIdGEGIgk3wiObu9o2nHz5+uf/OQn+/fvp/fACSGPPvro888/T7+2Zk/OFdDp6emtW7devnyZEOLxeA4cOEAI2bJlSzqdzmazS5cuffPNN00dGJk7oLaPrRwDSuw+CojqEUpV2z0kFCSAItBJIcoEkf+OXVgeG4AWKEgAAMAE3EMCAAAmoCABAAATUJAAAIAJKEgAAMAEFCQAAGACChIAADABBQkAAJiAggQAAExAQQIAACagIAEAABNQkAAAgAkoSAAAwAQUJAAAYAIKEgAAMAEFCQAAmICCBAAATEBBAgAAJqAgAQAAE1CQAACACShIAADABBQkAABgAgoSAAAwAQUJAACYgIIEAABMQEECAAAmoCABAAATUJAAAIAJKEgAAMAEFCQAAGACChIAADABBQkAAJiAggQAAExAQQIAACagIAEAABNQkAAAgAkoSAAAwAQUJAAAYAIKEgAAMAEFCQAAmICCBAAATEBBAgAAJqAgAQAAE1CQAACACShIAADABBQkAABgAgoSAAAwAQUJAACYgIIEAABMQEECAAAmoCABAAATUJAAAIAJKEgAAMAEFCQAAGACChIAADABBQkAAJiAggQAAExAQQIAACagIAEAABNQkAAAgAkoSAAAwAQUJAAAYAIKEgAAMAEFCQAAmICCBAAATEBBAgAAJqAgAQAAE1CQAACACShIAADABBQkAABgwv8Pgbbf9UUUb84AAAAASUVORK5CYII=" data-image-state="image-loaded" width="560" height="420"></div><div style="block-size: 55px; 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 27.5px; text-align: left; transform-origin: 384px 27.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 150px 8px; transform-origin: 150px 8px; unicode-bidi: normal; "><span style="">The values can also be calculated directly. The </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACMAAAAmCAYAAABOFCLqAAACrUlEQVRYR+2WP08VQRTF4SMgVsRYiNZaaLRAChNRtDIhUbGxAzSxMcGoUGLUkhj/JNqidjYaoLFQKik0sVP5BCgFH0DPj9z7ct+6s7u8tyqJO8nJ7E7uzJw5989Mb88Oar07iEtPQybljf9OmX4pcVLYK5wQbgif8tT5W8pAaF34JowIa/+SzD4jsqT+dDcxM6TJe4RhYUF4X6EczMnmWVDggr6fm4vud0Jm2nx8Kkzere/vJWQemiuiOxibEo4XHaZKzHzVAoPCqnCkgAinvy4cFjaEu6YO5FmDdtQwb2veUX/b16xC5qcZkwVJic0GNe8JF4UXNnZQ/UfhpfBKwN1PbIyA3l+VDPHyzowLJTabRfW4FSU9Yyb0/djIYHZVGLOxR+qvVCXjJ8W+TEVP36w7Uei8wDg9JH1s0lTa4lO2gZ+0MCXtZGfUvxba4kD/P4Q+4azwxmw9Dg/pv1UAi8j4SZlfJV5I51uZTT1eolpec35LiCIyflLI+AmIoVHblHGC8oFA7flgCpDSAzbm8RLdEWsOim+a6wrd5CclTXeZvHQe1DGgY7wsy2bFXOJuju6INWdGdpeErdpVpAwnpWZwek5DQ/anAiU9Fj/G35rNTfWkLo2y0Ja++vfgRZW2SzNFxv3Kgi4xiowLsxkitm/3XYqM+5UdkPiYcM4U6X7XxAopMu5XJCYGuFeiu/4IoRQZrw1sSgBTJ1yl3IdRHezyyHhtYH0C7LNAMaNlC1odHFpr5JHx2oCR3zFeMVHpgFD2jOiIZB4ZT72YkpFgLGDEVm3ZlUfGnwzRJRS1LxY7qEP94ZGNS1u3bkdyhElZMvHJEC82psTrAdVoPJZqc1mWDPXlsm2U93CG0DWBZ0Bt7nFxyp4Q3Sq/rfkNmZRcjTKNMttKJRk3MZNS7BerDJQnm+tTRAAAAABJRU5ErkJggg==" style="width: 17.5px; height: 19px;" width="17.5" height="19"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 41px 8px; transform-origin: 41px 8px; unicode-bidi: normal; "><span style=""> value of the </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" style="width: 18px; height: 19px;" width="18" height="19"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 22px 8px; transform-origin: 22px 8px; unicode-bidi: normal; "><span style=""> row is </span></span><span style="vertical-align:-14px"><img src="data:image/png;base64,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" style="width: 53px; height: 34px;" width="53" height="34"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 124.5px 8px; transform-origin: 124.5px 8px; unicode-bidi: normal; "><span style="">. For example, the fifth row is 1, 4, 6, 4, 1:</span></span></div><div style="background-color: rgb(247, 247, 247); block-size: 306.5px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 153.25px; transform-origin: 404px 153.25px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; "><div style="background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 52px 8.5px; tab-size: 4; transform-origin: 52px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">nchoosek(4,0)</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 20px 8.5px; tab-size: 4; transform-origin: 20px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">ans =</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 4px 8.5px; tab-size: 4; transform-origin: 4px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">1</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 52px 8.5px; tab-size: 4; transform-origin: 52px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">nchoosek(4,1)</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 20px 8.5px; tab-size: 4; transform-origin: 20px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">ans =</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 4px 8.5px; tab-size: 4; transform-origin: 4px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">4</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 52px 8.5px; tab-size: 4; transform-origin: 52px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">nchoosek(4,2)</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 20px 8.5px; tab-size: 4; transform-origin: 20px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">ans =</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 4px 8.5px; tab-size: 4; transform-origin: 4px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">6</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 52px 8.5px; tab-size: 4; transform-origin: 52px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">nchoosek(4,3)</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 20px 8.5px; tab-size: 4; transform-origin: 20px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">ans =</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 4px 8.5px; tab-size: 4; transform-origin: 4px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">4</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 52px 8.5px; tab-size: 4; transform-origin: 52px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">nchoosek(4,4)</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 20px 8.5px; tab-size: 4; transform-origin: 20px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">ans =</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 4px 8.5px; tab-size: 4; transform-origin: 4px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">1</span></span></div></div><div style="block-size: 43px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 21.5px; text-align: left; transform-origin: 384px 21.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 76.5px 8px; transform-origin: 76.5px 8px; unicode-bidi: normal; "><span style="">Given a positive integer </span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; "><span style="font-family: Menlo, Monaco, Consolas, &quot;Courier New&quot;, monospace; perspective-origin: 4px 8.5px; transform-origin: 4px 8.5px; ">n</span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 35px 8px; transform-origin: 35px 8px; unicode-bidi: normal; "><span style="">, return an </span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; "><span style="font-family: Menlo, Monaco, Consolas, &quot;Courier New&quot;, monospace; perspective-origin: 4px 8.5px; transform-origin: 4px 8.5px; ">n</span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 12.5px 8px; transform-origin: 12.5px 8px; unicode-bidi: normal; "><span style="">-by-</span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; "><span style="font-family: Menlo, Monaco, Consolas, &quot;Courier New&quot;, monospace; perspective-origin: 4px 8.5px; transform-origin: 4px 8.5px; ">n</span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 140.5px 8px; transform-origin: 140.5px 8px; unicode-bidi: normal; "><span style=""> matrix that represents the values of the first </span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; "><span style="font-family: Menlo, Monaco, Consolas, &quot;Courier New&quot;, monospace; perspective-origin: 4px 8.5px; transform-origin: 4px 8.5px; ">n</span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 96.5px 8px; transform-origin: 96.5px 8px; unicode-bidi: normal; "><span style=""> rows of Pascal's triangle. The first </span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; "><span style="font-style: italic; ">k</span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 44.5px 8px; transform-origin: 44.5px 8px; unicode-bidi: normal; "><span style=""> values of the </span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; "><span style="font-style: italic; ">k</span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 233.5px 8px; transform-origin: 233.5px 8px; unicode-bidi: normal; "><span style="">th row of the matrix will be the values from Pascal's triangle; the remaining </span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 12px 8px; transform-origin: 12px 8px; unicode-bidi: normal; "><span style="font-family: Menlo, Monaco, Consolas, &quot;Courier New&quot;, monospace; perspective-origin: 12px 8.5px; transform-origin: 12px 8.5px; ">n-k</span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.5px 8px; transform-origin: 63.5px 8px; unicode-bidi: normal; "><span style=""> values should be 0.</span></span></div><div style="block-size: 21.5px; 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 10.75px; text-align: left; transform-origin: 384px 10.75px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 53.5px 8px; transform-origin: 53.5px 8px; unicode-bidi: normal; "><span style="">For example, for </span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; "><span style="font-family: Menlo, Monaco, Consolas, &quot;Courier New&quot;, monospace; perspective-origin: 4px 8.5px; transform-origin: 4px 8.5px; ">n</span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 81px 8px; transform-origin: 81px 8px; unicode-bidi: normal; "><span style=""> = 6, the output should be</span></span></div><div style="background-color: rgb(247, 247, 247); block-size: 122.6px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 61.3px; transform-origin: 404px 61.3px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; "><div style="background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 124px 8.5px; tab-size: 4; transform-origin: 124px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">1     0     0     0     0     0</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 124px 8.5px; tab-size: 4; transform-origin: 124px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">1     1     0     0     0     0</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 124px 8.5px; tab-size: 4; transform-origin: 124px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">1     2     1     0     0     0</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 124px 8.5px; tab-size: 4; transform-origin: 124px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">1     3     3     1     0     0</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 124px 8.5px; tab-size: 4; transform-origin: 124px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">1     4     6     4     1     0</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 124px 8.5px; tab-size: 4; transform-origin: 124px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">1     5    10    10     5     1</span></span></div></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; "><span style=""></span></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; "><span style=""></span></span></div></div></div>

Solve

Solution Stats

75 Solutions
52 Solvers

Last Solution submitted on Mar 22, 2023

Last 200 Solutions

Problem Comments

Problem Recent Solvers52

Problem Tags

Community Treasure Hunt

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

Start Hunting!

Problem 55980. Generate Pascal's Triangle Matrix

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers52

Suggested Problems

More from this Author12

Problem Tags

Community Treasure Hunt

Problem 55980. Generate Pascal's Triangle Matrix

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers52

Suggested Problems

More from this Author12

Problem Tags

Community Treasure Hunt

Players