Problem 136. Read a Soroban Abacus

Created by @bmtran (Bryant Tran)

Solve Later

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Information on reading a Soroban can be found</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://webhome.idirect.com/~totton/abacus/pages.htm#Soroban1\"><w:r><w:t>here</w:t></w:r></w:hyperlink><w:r><w:t>.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:customXml w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"-1\"/><w:attr w:name=\"width\" w:val=\"-1\"/><w:attr w:name=\"relationshipId\" w:val=\"rId1\"/></w:customXmlPr></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>The soroban essentially consists of 7xN slots that 5xN beads may occupy. The input to the function will be a graphical representation of the soroban where</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:rFonts w:cs=\"monospace\"/></w:rPr><w:t>true</w:t></w:r><w:r><w:t> signifies a slot filled with a bead whereas</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:rFonts w:cs=\"monospace\"/></w:rPr><w:t>false</w:t></w:r><w:r><w:t> signifies a vacant slot. You can assume that all inputs will be valid soroban configurations.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:rPr><w:b/></w:rPr><w:t>Example</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[   input = [ 1 1 0 0 0\n             0 0 1 1 1\n             1 0 0 1 1\n             0 1 1 1 0\n             1 1 1 1 1\n             1 1 1 0 1\n             1 1 1 1 1 ];\n   output = 10586]]></w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray 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0NJk2zViVapiI54iZVoibHIiFgJVFopilxpiFspk1O5Z4LYQYQoi7G4ljiXlmrph5gYiW4piX1IiW8JlRJ5llinl20ll2X5l3hpl4I5mHvol4MImGIZioGImHGZE3y5aV95lXxImX45jJZZlZO5mZXJmZcZmWj2lEIlmn84iq2olEfJlKnplKsJla9IGKBJcEBZk7TZHbYZUj1ZmrmJibt5h8VklrE5ciXpjC5ZnMM5HS8ZF8kpR8u5UtQInMFpcCAJjtMpjtVZFxupQdfJkR/pkbUoVVqRPbD/xRsqURWFIxjhWV1HkCF+RVRicSaMiZD9aJDzKZ+98pB0hJ+RoZ9CF5GEaSTiKVrkmRKJsRgDKl5K4C8vFRuTAXCpCJH1CRT8eUw3M6FqZaF/lY/SM45C6VrBRXnAdRK4oRtoF6AM5W8gqlofURzHEYn2iY7niI8wuo4a2o41ao8zaqMYtJcmsSCz420PAm4CUSMNsCs5siPk4XRmgW2LxwQ+2iDfVlCJF0+9cSEZsiFKygQfEiIjgjcnUjIr0iL3MlDgliNEaqTgIR5JKhUBQEQh8aTd5iAQch4TIgAPgDdpyiMdMiRF4qIdlZ0etJ3ayY2CGqje6Y2FmhnjCJsm//EndhIo+/YpEYOmq0QqjWRvfpInfaVvakJ3l8QRoTIQ2uQRjbIYjxIp4NOiloIpmsIpOlNvWgVVoxImIdEAZBEbjioQZyIoAkEouTqpOQImAiEmrwKIh9ecx2qcJpmSyCpWzVqIz8qWKolWzPVw0lIvACBx+SIQF/OqfHcuHaMZDPcu4gIt1xpx9zJxa2NECno3TBAwKOcRBMMEBjMcVEQkTMAwDgMxWbRFFoMxwbMxysJ0pvUR1jot9oIvHNEoHBItKGcuHEOwJEOWPmmTs3mbybSLF4uTG5uxtcmxQXkSnoM1WtNyOZJue7c3sRE1Jyc/KscRJcs1XkM1vRE2Y/9TNiBxNuqkNonRNldhHHEzP19jNySCPjnDEXyjikQ1siu3Nb2RITjLFCr7OaepmkjZmqOJtaVpmkp7tV5rtWDLmkqpmJzDOjmCSHu3QAGaoccUdBTqTCoCOw8yO+JpO2WCOwCgO7xjWH+FtlP3WisbGW57oUTVSoiTmVs7ioZJmIg7l2NprMrVuIEpuYuZlVJpEu7zEVD3PQz2t4G7dO2zPZrbPZz7tEJLsx5hP/gDEvvTP//js0wgQN1TQKeLQJLluUobEpkrr6QbP9rzcgvUFRK0uHV5mGyVmMSrmNJKsf/5mGHZvGkZvY4piKJYQ0IUdmOXYgLRRXxbuBHDQz7/1HVBdEPY66b3wa5IlK1MsERN9BFPxDkKgzADYVVYNDGXkj7b60VwW7AeYb3kKxBi56aN0gFLEC1iykgr0k/Pa7yJe5cL3JjH67wPXLwQ3MCF2ZbKm5fHy1x1JxB3xynzcxiqxEr7CxpzB0l213WU5CmWZG9dkUkDsUkd0UkwC0oyhS2kZEp5h0o5NMLdK6BZoUgqnHfz86skIE6SAQC1xLyc6Jma2ZlQjJiUu7zxGblObMFTzIko0XjptE7XlE2ShVB49cN6MaXl5BFc/HjsBMZOaiDlJE/0xCz39BH51BH85E9s4xECFSNlehhirFAlHKIfkcYc4cWRJyG5AQLA/8NIEtWVpKi1jkuakVxRUQm5VSu2YeuakFyWHapok3IA62ZTTOybHcuTpVyxxtKboqjKVMzK8/abjGp0VVVtWTXKyXqcKInLLYlL0aqMykqcugyTv9nJilYVeTVtfAWfVQxWgKqoifqnO9rM0Hyo1EnN1vmcxBydU4WhjXWj/OjNb8HNyZifEcqQ5fyH2azNIHbOEArO9OnONiHO0/q28Cyh7MxUzavOJVfP5szPDnnPJyXPAg3Q/RmQMaHPHybNzPzMC23N2MnQG6XQEQ3RRrWo6YzQMdXL0/jL0BjMeaHRK8nRubysHt1SF43R7WmxKv2xHouxPeXKuXjKuinTvP/pi9CJ0jn3tZi805qs03opyVsJ1Isp1FSMi5CJ0wh3xY5rubZsxVG8wUo9uVFduWDpyIvLiEid0NO71REsvV3tmBI8yhQ81hkMvVxtwbGc1TmN1mENiGSdvHAd1xgs12Jd1gy81BcsF2qtYFnMuFNd1Ir7wGbV11751Fj8101cmXuNYER9cI39yD6NVI99yT2dyVkb2Q180ottSy6Nyp090yudGjANjKENsixtyiG72UQp0rtM0q4NzMzI2sL82h1N2yO9i6p9XRJd0RQti7vNlr/tVcHtccMtPNic27010P7czjkaLMrd3N8M3QDJoci9z9L9ztf9ojL6OM+93TH/+t0buqM3Xd2c1d3graPeTaPZbc/LTc7tvZ8GjSXkvVvF7UwOzZ3YiIz1/aC+3dvC7d/5PN+bBdIXReB+Cq3MKtvKqeDMyeDOGZMCntw0Tcql3dKmLdoTvsoZ3sob/so2HeESjtmTLOJBvcmVO9lda9mJi+KOnKIgTlOE7dSXidh+Tb00Xtgzbth4HeMvLl+G9+NAHuRCPuQf3uNXReRInuRKvuRwZ+RO/uRQHuVSPuVUXuVWTnNFQAElZBAvgAQtwQMiAAAcYANIQF4GwQErIASHFZhF9eUcAAAUQObpVdABvjJbXufwLRBqboeTJRArABIGU+dXLlUG80gsUea//8EDcM4Shc4RkJFeiM4RP3ACAMADKxHpTIAENrBfmM4Em84SMgAArYIEgX7owuPlpg4AqO4SiL7qKtHqHVEEHGDoKQHrlw4AYe7qTPDmqj7o1xXmHBBn3qXogMQRn25gHBHme15hmd5i410SQgAAMuARK7BfC4Xswk5fnv7n0AYbkGEDHmEDiq7Zvu4SPJAD1W7pG6YaWq4S1b7sza7tTPADAMDtQJZriNUS7+4RZb7uHPbvJtpgK0Dr8g4bhBHsHSECAF/usiECSBDtJ1BYPxDm6p4SFNB3h7Ho2nXsfETvLXHxABrwzJ7thyUEDo88XsIE1f4DHMEDDuPiDL8URf/A7couXQQx7dhO8rcF2EHl7/hO1fzb7ZN18RUv9DMx7/XOESfg5TAf8y/xAupO7Ove6A2G8jHR7qTF8e3l8fKOc8FLZGY3grsOAPBe8IPFEW+OBEUQ8Qvv9FFx8QWh65HF7iux8h3nEfRu7yLGBGV/7yxR7UWgtqxlYhZ2AgpP+FOR5RQQ+EZfExwR6jbwAizf9m6/FDmA84/fMF2fXtFe7Acl7/te9UxA8CPPEtEO7iLvof8+XI2B9fQV7YufbP1+9M3OAQhP+ZXvEkJAAfCO6EVvErau6K6PElSPBCuA+rXeFTNf6bee6Hqf/L3+9ACA+mU+/CfR6Tki99cvENr/XxIG4+X0jvnNj+qKzgGT/+qBofUkEe17TumPZOu5T1cDgfrRPv9r2eUt8QPVLua/32sc8AIAIYTJQIIFDQ4EkFBhwhcHHRpcmPDhRIM/RCTkIIPiw4gIF248GBEAyIMyKADgYIOkQ5FMIgpcKVIhyY48KHj8uFLnTp49ff4EGlToUKJFjR5FmlTpUqZNnT6FGlXqVKpVrV7FmlXrVq5dvX4FG1bsWLJlzZ5Fm1btWrZt3b6FG1fuXLp17d7Fm1fvXr59/f4FHFjwYMKFDR/GO/KuYqKMgToOCvmn5MlFKe+8jFjz5piJjWbWCRpzY8ulI3NGnZqmZ9OnSQ8VHbp1/2XVtW0TjM02d2ehu0H6pihT+HDixY0fH35buWrgaJsHhz3b+XLq1T+zfu06+trn1r1/7142PMvt5dOO/57+Nnqx7Au6d49Qt3r69UNiN087/9n49v0P7s+rAOGTjr//DgQPv9720+88BB+kLsCuBmTQJwkhxDBDni7cisIFs9MwRBGZ4lArD7X7cEQVVwSRrhMfK5BFGWf8TUEUG7wRKol62nGyEmkEMsW6XsQRRqp6nArJINX6EbAmryLSwhiVQqGAAlLosQUEAFAAhoJUKECAC5TwyCMSBkBghw4AOACHgXx4IAAAGnDTJcV6cCCAACDwYUk/k7TRyByLVIqFlv+YgCGiGwZ6YaERyrRTIQUUWmAgBhZSANJJFWLgT0+fetKqKHmcEqkGANhAiQ12PDUGJmgAYIKBWtUBAAQgTYiFHnLdQcldFdtRTiA+JdapUKsadcNSj0poCCaACDaiAgaScwmIgAWAzIS0ZewGDxbYcccMAAiggRCMKDZdZgMlVNkWl5ITXWgVk7MjJqq9FldsB8IShF73ZWKJERwoAAAH1EW4QriSHe1dpU7NQIlxFWv1oFNhqJUAfTdmYgAAgJghXMiCUDJhk2Vb7DohB02qUXtdVkgCRhfSgGORBzpAIY+JsHPWhQ4+OWiU7WJ46LRUIKAAE3pkYVICNEB3IDD/BcAgCZsBxmHSCHrtoOdnJRAggAj6FLrsjY49UmWWzWY7RLQBXZa3tuce8W2pipabbr0xtDsqvFdLascbINi7cL/61lFtQZcq2XDHXWRXypU5YkxkFxKYU4cyO8JTTz4fB70txEFVvN189V2ogc0/2jShTkOHfbqU4wb87MqxlUAJlzm+9+PYf5ed6NIltx03bIO4mqBxyz0XeOfDGt3Y4Un9TTEjbk5+IIEJNvh57yeMnPq1C5LzBSXWBNhrkZM4oiCSo/8+ftzCd3d8ghw4tEfsDUioAiZOVQjQ5DdAuAmPdjUCSQ9OhQBDpQ97MCgY4YAANrGRjYAXJN3sHFY//wx2kH6imx4HPTjCucCPRCFsGAlVGBcTMg6FRlthDLnzQRgST4Y3DN6QXpg3HPZwLC1Uyt8Q6EMiQo+GPLRhEZXYoSPWbolPZGEThwhFKoJQgwqrYhZ/KMWzadGLOYTcAb84RihxETpkRONXgBi4HabRjX4z40SAs4QIOEZLtmrBG/UowhK2kSA7gECPYLUQGuzRkFMM4wZZAi7GVAAAHVBVrAbSuT1Z8JB7XCNShDgQCRChR/xDlycNMJDWAeB1l8RkHDmyodsZj1q+Q+UlM7kuMboSUl5bnrmiFss3ztKPSCzeQPjHs+uNMmADK5gAeZlGX9YSkdUjiARQdT4AWP/AIO9bZi9VSR7MMCZkhPRZALPpxmYqUnwxseOWEJDHgUwwbGMbJzO3eZ941tN0b9mkPfU5vytObp//5KYBATpQ6fWToAelpUARulBngpGhD72nW8oJ0TFO1J8Uxegz5WLRjFaRo4vbCB3TiUeC3HGdHV3mRyP6x0AyZpAKKeRLE1JIlKJSpUmUIyMJ4khIrkpWPI2krJhAyc/VFI03PSdFOvlJAIQSAKMEJRNEScqFnNKoX0QqH4PTytXZUlhXJacU9dfKsQ4kl80DK1bFyphhMqGYTGjrW4/JPWWm1aNrjeY012RNaaZqr9dsnF2XmNUU0sSbESnkN2EazoTUVbD/TyRsDbdaEJOykwmVJYg7K/jYLEYWmJylqGedCNqMilajpH2oabuIWta21rWvhW1sZTtb2tbWtrfFbW51u1vxAAx7ZxEpZdVpWcwOpLi87Wz60gJIQSL2Vc6VKQBoitwRJuRMaVpTm7LXIxdMKgEN8cjlMjfJPFXSWDodCFB9ygT1SrK9QiWqJan7vIi0rlLq861iFDtTnChEdUwopVWVslS2NlWqT4Wrgaca1akCuKrzjV+ufsWCf21XMQ9A1RFW9QCP5G53vRvW3bjas7KWFcQQHuC27MQtC7/Sakkgl0eQh0ty6VJHI5ZIibl61l2iGHjYA3J+XfysGHvNa9tLhOaNCRJXBDMZqgAgJoLnmmQfOy/ILf4fqpIwLg4bWUnYBBVj+kpNvuq1mkwY81/dF9gqO+7K+OUYzBJSg1uy6mdKHsh+pcsEPSfWuVkWZ5t/92ZCM6a7XHJVnRWjWXiGWbgkNe5wSyrpdlKw0YLGdKY1vWlOd9rTnwZ1qEU9alKXOkQBAQA7"}]}

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the cyclist on 28 Jan 2012

Unlike the picture, there are no decimals. The rightmost column is the unit column.

SSOI SS on 15 Jun 2012

Hi, the abacus is Chinese invention, not japanese !!!

@bmtran (Bryant Tran) on 16 Jun 2012

i never made any claim to who invented the abacus. i'm just clarifying that this problem pertains to the japanese soroban, which is specifically designed for base-10 arithmetic.

David Verrelli on 23 Apr 2018

Link provided to webhome.idirect.com appears to be down. Here is another link:
http://www.alcula.com/soroban.php

Asif Newaz on 12 Jan 2020

nic problem

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Problem 136. Read a Soroban Abacus

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Problem 136. Read a Soroban Abacus

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