{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2025-12-14T01:33:56.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2025-12-14T00:00:00.000Z","image_id":null,"published":true,"community_created":false,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":null,"description_html":null,"published_at":null},"problems":[{"id":1854,"title":"Factorial: Unlimited Size : java.math","description":"This challenge is an application of java.math that allows unlimited precision calculations.  The primary reference sites are \u003chttp://docs.oracle.com/javase/1.5.0/docs/api/java/lang/Number.html Java Math\u003e, \u003chttp://docs.oracle.com/javase/1.5.0/docs/api/java/math/BigDecimal.html Java BigDecimal\u003e, and \u003chttp://docs.oracle.com/javase/1.5.0/docs/api/java/math/BigInteger.html Java BigInteger\u003e.\r\n\r\nThe usage of BigDecimal function multiply will be essential.\r\n\r\nJava Math tutorial: (Simplified summary that is believed correct)\r\n\r\n  vd-decimal value, vstr-string, vi-integer value \r\n  xBD=java.math.BigDecimal(vd);  % valid vd,vstr,vi creates xBD a BigDecimal variable\r\n  import java.math.*;  % simplifies statements\r\n  xBD=BigDecimal(vstr);\r\n \r\n  xmultiplyzBD=xBD.multiply(BigDecimal(z));  % multiply input requires BD type\r\n  \r\n  To convert java to string of unlimited length can be achieved via java toString or Matlab char\r\n  \r\n  xstr=toString(xBD)  or xstr=char(xBD) \r\n\r\n*Input:* N  [1\u003c N \u003c 1000]\r\n\r\n*Output:* Y  (char variable of Y=N! or a BigDecimal variable)\r\n\r\n\u003chttp://www.nitrxgen.net/factorialcalc.php Factorial Calculator\u003e\r\n\r\n*Related Challenges:*\r\n\r\n\u003chttp://www.mathworks.com/matlabcentral/cody/problems/1833-usage-of-java-math-add-multiply-pow 1. Usage of java math\u003e\r\n\r\n  2. nchoosek_large (full precision)\r\n  2. Next Prime\r\n  3. factor_large\r\n  4. Factorial","description_html":"\u003cp\u003eThis challenge is an application of java.math that allows unlimited precision calculations.  The primary reference sites are \u003ca href = \"http://docs.oracle.com/javase/1.5.0/docs/api/java/lang/Number.html\"\u003eJava Math\u003c/a\u003e, \u003ca href = \"http://docs.oracle.com/javase/1.5.0/docs/api/java/math/BigDecimal.html\"\u003eJava BigDecimal\u003c/a\u003e, and \u003ca href = \"http://docs.oracle.com/javase/1.5.0/docs/api/java/math/BigInteger.html\"\u003eJava BigInteger\u003c/a\u003e.\u003c/p\u003e\u003cp\u003eThe usage of BigDecimal function multiply will be essential.\u003c/p\u003e\u003cp\u003eJava Math tutorial: (Simplified summary that is believed correct)\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003evd-decimal value, vstr-string, vi-integer value \r\nxBD=java.math.BigDecimal(vd);  % valid vd,vstr,vi creates xBD a BigDecimal variable\r\nimport java.math.*;  % simplifies statements\r\nxBD=BigDecimal(vstr);\r\n\u003c/pre\u003e\u003cpre class=\"language-matlab\"\u003exmultiplyzBD=xBD.multiply(BigDecimal(z));  % multiply input requires BD type\r\n\u003c/pre\u003e\u003cpre class=\"language-matlab\"\u003eTo convert java to string of unlimited length can be achieved via java toString or Matlab char\r\n\u003c/pre\u003e\u003cpre class=\"language-matlab\"\u003exstr=toString(xBD)  or xstr=char(xBD) \r\n\u003c/pre\u003e\u003cp\u003e\u003cb\u003eInput:\u003c/b\u003e N  [1\u0026lt; N \u0026lt; 1000]\u003c/p\u003e\u003cp\u003e\u003cb\u003eOutput:\u003c/b\u003e Y  (char variable of Y=N! or a BigDecimal variable)\u003c/p\u003e\u003cp\u003e\u003ca href = \"http://www.nitrxgen.net/factorialcalc.php\"\u003eFactorial Calculator\u003c/a\u003e\u003c/p\u003e\u003cp\u003e\u003cb\u003eRelated Challenges:\u003c/b\u003e\u003c/p\u003e\u003cp\u003e\u003ca href = \"http://www.mathworks.com/matlabcentral/cody/problems/1833-usage-of-java-math-add-multiply-pow\"\u003e1. Usage of java math\u003c/a\u003e\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003e2. nchoosek_large (full precision)\r\n2. Next Prime\r\n3. factor_large\r\n4. Factorial\r\n\u003c/pre\u003e","function_template":"function y = factorialJava(N)\r\n import java.math.*\r\n y = num2str(factorial(N));\r\nend","test_suite":"%%\r\ntic\r\nN=69;\r\ny = factorialJava(N);\r\nassert(strcmp(y,'171122452428141311372468338881272839092270544893520369393648040923257279754140647424000000000000000'))\r\ntoc\r\n%%\r\ntic\r\nN=randi(18)\r\ny = factorialJava(N);\r\nassert(strcmp(y,num2str(factorial(N))))\r\ntoc\r\n%%\r\ntic\r\nN=randi(18)\r\ny = factorialJava(N);\r\nassert(strcmp(y,num2str(factorial(N))))\r\ntoc\r\n%%\r\ntic\r\nN=1000;\r\ny = factorialJava(N);\r\nassert(strcmp(y,'402387260077093773543702433923003985719374864210714632543799910429938512398629020592044208486969404800479988610197196058631666872994808558901323829669944590997424504087073759918823627727188732519779505950995276120874975462497043601418278094646496291056393887437886487337119181045825783647849977012476632889835955735432513185323958463075557409114262417474349347553428646576611667797396668820291207379143853719588249808126867838374559731746136085379534524221586593201928090878297308431392844403281231558611036976801357304216168747609675871348312025478589320767169132448426236131412508780208000261683151027341827977704784635868170164365024153691398281264810213092761244896359928705114964975419909342221566832572080821333186116811553615836546984046708975602900950537616475847728421889679646244945160765353408198901385442487984959953319101723355556602139450399736280750137837615307127761926849034352625200015888535147331611702103968175921510907788019393178114194545257223865541461062892187960223838971476088506276862967146674697562911234082439208160153780889893964518263243671616762179168909779911903754031274622289988005195444414282012187361745992642956581746628302955570299024324153181617210465832036786906117260158783520751516284225540265170483304226143974286933061690897968482590125458327168226458066526769958652682272807075781391858178889652208164348344825993266043367660176999612831860788386150279465955131156552036093988180612138558600301435694527224206344631797460594682573103790084024432438465657245014402821885252470935190620929023136493273497565513958720559654228749774011413346962715422845862377387538230483865688976461927383814900140767310446640259899490222221765904339901886018566526485061799702356193897017860040811889729918311021171229845901641921068884387121855646124960798722908519296819372388642614839657382291123125024186649353143970137428531926649875337218940694281434118520158014123344828015051399694290153483077644569099073152433278288269864602789864321139083506217095002597389863554277196742822248757586765752344220207573630569498825087968928162753848863396909959826280956121450994871701244516461260379029309120889086942028510640182154399457156805941872748998094254742173582401063677404595741785160829230135358081840096996372524230560855903700624271243416909004153690105933983835777939410970027753472000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000'))\r\ntoc\r\n%%\r\ntic\r\nN=42;\r\ny = factorialJava(N);\r\nassert(strcmp(y,'1405006117752879898543142606244511569936384000000000'))\r\ntoc\r\n\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":3097,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":47,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2013-08-30T01:59:14.000Z","updated_at":"2025-12-10T03:30:57.000Z","published_at":"2013-08-30T02:37:28.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThis challenge is an application of java.math that allows unlimited precision calculations. The primary reference sites are\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://docs.oracle.com/javase/1.5.0/docs/api/java/lang/Number.html\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eJava Math\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://docs.oracle.com/javase/1.5.0/docs/api/java/math/BigDecimal.html\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eJava BigDecimal\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, and\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://docs.oracle.com/javase/1.5.0/docs/api/java/math/BigInteger.html\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eJava BigInteger\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe usage of BigDecimal function multiply will be essential.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eJava Math tutorial: (Simplified summary that is believed correct)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[vd-decimal value, vstr-string, vi-integer value \\nxBD=java.math.BigDecimal(vd);  % valid vd,vstr,vi creates xBD a BigDecimal variable\\nimport java.math.*;  % simplifies statements\\nxBD=BigDecimal(vstr);\\n\\nxmultiplyzBD=xBD.multiply(BigDecimal(z));  % multiply input requires BD type\\n\\nTo convert java to string of unlimited length can be achieved via java toString or Matlab char\\n\\nxstr=toString(xBD)  or xstr=char(xBD)]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eInput:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e N [1\u0026lt; N \u0026lt; 1000]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eOutput:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e Y (char variable of Y=N! or a BigDecimal variable)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"http://www.nitrxgen.net/factorialcalc.php\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eFactorial Calculator\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eRelated Challenges:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"http://www.mathworks.com/matlabcentral/cody/problems/1833-usage-of-java-math-add-multiply-pow\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e1. Usage of java math\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[2. nchoosek_large (full precision)\\n2. Next Prime\\n3. factor_large\\n4. Factorial]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":1833,"title":"Usage of java.math : Add, Multiply, Pow","description":"This challenge is an introduction to the wonderful word of java.math that allows unlimited precision calculations.  The primary reference sites are \u003chttp://docs.oracle.com/javase/1.5.0/docs/api/java/lang/Number.html Java Math\u003e, \u003chttp://docs.oracle.com/javase/1.5.0/docs/api/java/math/BigDecimal.html Java BigDecimal\u003e, and \u003chttp://docs.oracle.com/javase/1.5.0/docs/api/java/math/BigInteger.html Java BigInteger\u003e.\r\n\r\nThe usage of BigDecimal functions add, multiply, and pow will be tested.\r\n\r\nJava Math tutorial: (Simplified summary that is believed correct)\r\n\r\n  vd-decimal value, vstr-string, vi-integer value \r\n  xBD=java.math.BigDecimal(vd);  % valid vd,vstr,vi creates xBD a BigDecimal variable\r\n  import java.math.*;  % simplifies statements\r\n  xBD=BigDecimal(vstr);\r\n  x2pwrBD=xBD.pow(vi); % Invalid: vd,vstr,BD\r\n  xplusyBD=xBD.add(BigDecimal(y)); % add input requires BD type\r\n  xmultiplyzBD=xBD.multiply(BigDecimal(z));  % multiply input requires BD type\r\n  \r\n  To convert java to string of unlimited length can be achieved via java toString or Matlab char\r\n  \r\n  xstr=toString(xBD)  or xstr=char(xBD) \r\n\r\n*Input:* X,Y, function_case  [X,Y double or str, function 1:X+Y, 2:X*Y, 3: X^Y(double)\r\n\r\n*Output:* z  (char variable)\r\n\r\n*Future Challenges:*\r\n\r\n  1. nchoosek_large (full precision)\r\n  2. Next Prime\r\n  3. factor_large\r\n\r\n4. \u003chttp://www.mathworks.com/matlabcentral/cody/problems/1854-factorial-unlimited-size-java-math Factorial\u003e","description_html":"\u003cp\u003eThis challenge is an introduction to the wonderful word of java.math that allows unlimited precision calculations.  The primary reference sites are \u003ca href = \"http://docs.oracle.com/javase/1.5.0/docs/api/java/lang/Number.html\"\u003eJava Math\u003c/a\u003e, \u003ca href = \"http://docs.oracle.com/javase/1.5.0/docs/api/java/math/BigDecimal.html\"\u003eJava BigDecimal\u003c/a\u003e, and \u003ca href = \"http://docs.oracle.com/javase/1.5.0/docs/api/java/math/BigInteger.html\"\u003eJava BigInteger\u003c/a\u003e.\u003c/p\u003e\u003cp\u003eThe usage of BigDecimal functions add, multiply, and pow will be tested.\u003c/p\u003e\u003cp\u003eJava Math tutorial: (Simplified summary that is believed correct)\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003evd-decimal value, vstr-string, vi-integer value \r\nxBD=java.math.BigDecimal(vd);  % valid vd,vstr,vi creates xBD a BigDecimal variable\r\nimport java.math.*;  % simplifies statements\r\nxBD=BigDecimal(vstr);\r\nx2pwrBD=xBD.pow(vi); % Invalid: vd,vstr,BD\r\nxplusyBD=xBD.add(BigDecimal(y)); % add input requires BD type\r\nxmultiplyzBD=xBD.multiply(BigDecimal(z));  % multiply input requires BD type\r\n\u003c/pre\u003e\u003cpre class=\"language-matlab\"\u003eTo convert java to string of unlimited length can be achieved via java toString or Matlab char\r\n\u003c/pre\u003e\u003cpre class=\"language-matlab\"\u003exstr=toString(xBD)  or xstr=char(xBD) \r\n\u003c/pre\u003e\u003cp\u003e\u003cb\u003eInput:\u003c/b\u003e X,Y, function_case  [X,Y double or str, function 1:X+Y, 2:X*Y, 3: X^Y(double)\u003c/p\u003e\u003cp\u003e\u003cb\u003eOutput:\u003c/b\u003e z  (char variable)\u003c/p\u003e\u003cp\u003e\u003cb\u003eFuture Challenges:\u003c/b\u003e\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003e1. nchoosek_large (full precision)\r\n2. Next Prime\r\n3. factor_large\r\n\u003c/pre\u003e\u003cp\u003e4. \u003ca href = \"http://www.mathworks.com/matlabcentral/cody/problems/1854-factorial-unlimited-size-java-math\"\u003eFactorial\u003c/a\u003e\u003c/p\u003e","function_template":"function zstr=java_math(x,y,select)\r\n import java.math.*\r\n\r\n switch select\r\n    case 1 % add x+y\r\n     zBD=x+y;\r\n    case 2 % multiply  x*y\r\n     zBD=x*y;\r\n    case 3 % power  x^y\r\n     zBD=x^y;\r\n     \r\n end\r\n zstr=char(zBD);\r\n\r\nend","test_suite":"%%\r\nx=2;\r\ny=64;\r\n% power\r\nzstr=java_math(x,y,3);\r\nassert(strcmp(zstr,'18446744073709551616'),sprintf('zstr=%s\\n',zstr))\r\n%%\r\nxstr='18446744073709551615';\r\ny=3;\r\n%Add\r\nzstr=java_math(xstr,y,1);\r\nassert(strcmp(zstr,'18446744073709551618'),sprintf('zstr=%s\\n',zstr))\r\n%%\r\nx=2^53;  % largest eps==1 double\r\ny=2^11;\r\n%Multiply\r\nzstr=java_math(x,y,2);\r\nassert(strcmp(zstr,'18446744073709551616'),sprintf('zstr=%s\\n',zstr))\r\n%%\r\nx=2^53;  % largest valid double\r\ny=2^12;\r\n% Multiply\r\nzstr=java_math(x,y,2);\r\nassert(strcmp(zstr,'36893488147419103232'),sprintf('zstr=%s\\n',zstr))\r\n%%\r\nx=randi(10);\r\ny=randi(100);\r\nzstr=java_math(x,y,1);\r\nassert(strcmp(zstr,num2str(x+y)),sprintf('x=%2i y=%3i x+y=%5i zstr=%s\\n',x,y,x+y,zstr))\r\n%%\r\nx=randi(10);\r\ny=randi(100);\r\nzstr=java_math(x,y,2);\r\nassert(strcmp(zstr,num2str(x*y)),sprintf('x=%2i y=%3i x*y=%5i zstr=%s\\n',x,y,x*y,zstr))\r\n%%\r\nx=randi(20);\r\ny=randi(5);\r\nzstr=java_math(x,y,3);\r\nassert(strcmp(zstr,num2str(x^y)),sprintf('x=%2i y=%3i x^y=%8i zstr=%s\\n',x,y,x^y,zstr))\r\n\r\n\r\n","published":true,"deleted":false,"likes_count":4,"comments_count":3,"created_by":3097,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":37,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2013-08-18T17:42:26.000Z","updated_at":"2025-12-10T01:06:03.000Z","published_at":"2013-08-18T19:02:27.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThis challenge is an introduction to the wonderful word of java.math that allows unlimited precision calculations. The primary reference sites are\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://docs.oracle.com/javase/1.5.0/docs/api/java/lang/Number.html\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eJava Math\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://docs.oracle.com/javase/1.5.0/docs/api/java/math/BigDecimal.html\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eJava BigDecimal\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, and\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://docs.oracle.com/javase/1.5.0/docs/api/java/math/BigInteger.html\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eJava BigInteger\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe usage of BigDecimal functions add, multiply, and pow will be tested.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eJava Math tutorial: (Simplified summary that is believed correct)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[vd-decimal value, vstr-string, vi-integer value \\nxBD=java.math.BigDecimal(vd);  % valid vd,vstr,vi creates xBD a BigDecimal variable\\nimport java.math.*;  % simplifies statements\\nxBD=BigDecimal(vstr);\\nx2pwrBD=xBD.pow(vi); % Invalid: vd,vstr,BD\\nxplusyBD=xBD.add(BigDecimal(y)); % add input requires BD type\\nxmultiplyzBD=xBD.multiply(BigDecimal(z));  % multiply input requires BD type\\n\\nTo convert java to string of unlimited length can be achieved via java toString or Matlab char\\n\\nxstr=toString(xBD)  or xstr=char(xBD)]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eInput:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e X,Y, function_case [X,Y double or str, function 1:X+Y, 2:X*Y, 3: X^Y(double)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eOutput:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e z (char variable)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eFuture Challenges:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[1. nchoosek_large (full precision)\\n2. Next Prime\\n3. factor_large]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e4.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://www.mathworks.com/matlabcentral/cody/problems/1854-factorial-unlimited-size-java-math\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eFactorial\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":1855,"title":"Usage of java.math : N Choose K with unlimited precision","description":"Calculate the binomial coefficient nchoosek with full accuracy. This challenge may use the wonderful word of java.math that allows unlimited precision calculations.  The primary reference sites are \u003chttp://docs.oracle.com/javase/1.5.0/docs/api/java/lang/Number.html Java Math\u003e, \u003chttp://docs.oracle.com/javase/1.5.0/docs/api/java/math/BigDecimal.html Java BigDecimal\u003e, and \u003chttp://docs.oracle.com/javase/1.5.0/docs/api/java/math/BigInteger.html Java BigInteger\u003e.\r\n\r\nThe usage of BigDecimal functions add, multiply, and divide may be required.\r\n\r\nJava Math:\r\n\r\n  vd-decimal value, vstr-string, vi-integer value \r\n  xBD=java.math.BigDecimal(vd);  % valid vd,vstr,vi creates xBD a BigDecimal variable\r\n  import java.math.*;  % simplifies statements\r\n  xBD=BigDecimal(vstr);\r\n  xplusyBD=xBD.add(BigDecimal(y)); % add input requires BD type\r\n  xmultiplyzBD=xBD.multiply(BigDecimal(z));  % multiply input requires BD type\r\n  xdividezBD=xBD.divide(BigDecimal(z));  % divide input requires BD type\r\n  xmultydivz=xBD.multiply(yBD).divide(zBD);  out=x*y/z\r\n  \r\n  To convert java to string of unlimited length can be achieved via java toString or Matlab char\r\n  \r\n  xstr=toString(xBD)  or xstr=char(xBD) \r\n\r\n*Input:* [N,K]  [ Inputs to nchoosek(N,K) 0\u003c=K\u003c=N\u003c200 ]\r\n\r\n*Output:* C  (char variable of C=nchoosek(n,k) or BigDecimal variable type )\r\n\r\n*Theory:*\r\n\r\n\u003chttp://en.wikipedia.org/wiki/Binomial_coefficient C(n,k)\u003e link shows multiple evaluation methods.\r\n\r\nC(n,k)= n!/(k!(n-k)!)\r\n\r\n\u003c\u003chttp://upload.wikimedia.org/math/b/1/a/b1a5828ee5ec18a1362999a76f3c63e6.png\u003e\u003e\r\n\r\nThe factorial method gives a direct solution while the multiplicative may require fewer operations. \r\n\r\n*Hint:* C(5,3)=(5/3)*(4/2)*(3/1)= (5/1)*(4/2)*(3/3); numerator has k terms\r\n\r\n*Future Challenges:*\r\n\r\n1. \u003chttp://www.mathworks.com/matlabcentral/cody/problems/1833-usage-of-java-math-add-multiply-pow Usage of java.math\u003e\r\n\r\n  2. nchoosek_large (full precision)\r\n  3. Next Prime\r\n  4. factor_large\r\n\r\n5. \u003chttp://www.mathworks.com/matlabcentral/cody/problems/1854-factorial-unlimited-size-java-math Factorial\u003e","description_html":"\u003cp\u003eCalculate the binomial coefficient nchoosek with full accuracy. This challenge may use the wonderful word of java.math that allows unlimited precision calculations.  The primary reference sites are \u003ca href = \"http://docs.oracle.com/javase/1.5.0/docs/api/java/lang/Number.html\"\u003eJava Math\u003c/a\u003e, \u003ca href = \"http://docs.oracle.com/javase/1.5.0/docs/api/java/math/BigDecimal.html\"\u003eJava BigDecimal\u003c/a\u003e, and \u003ca href = \"http://docs.oracle.com/javase/1.5.0/docs/api/java/math/BigInteger.html\"\u003eJava BigInteger\u003c/a\u003e.\u003c/p\u003e\u003cp\u003eThe usage of BigDecimal functions add, multiply, and divide may be required.\u003c/p\u003e\u003cp\u003eJava Math:\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003evd-decimal value, vstr-string, vi-integer value \r\nxBD=java.math.BigDecimal(vd);  % valid vd,vstr,vi creates xBD a BigDecimal variable\r\nimport java.math.*;  % simplifies statements\r\nxBD=BigDecimal(vstr);\r\nxplusyBD=xBD.add(BigDecimal(y)); % add input requires BD type\r\nxmultiplyzBD=xBD.multiply(BigDecimal(z));  % multiply input requires BD type\r\nxdividezBD=xBD.divide(BigDecimal(z));  % divide input requires BD type\r\nxmultydivz=xBD.multiply(yBD).divide(zBD);  out=x*y/z\r\n\u003c/pre\u003e\u003cpre class=\"language-matlab\"\u003eTo convert java to string of unlimited length can be achieved via java toString or Matlab char\r\n\u003c/pre\u003e\u003cpre class=\"language-matlab\"\u003exstr=toString(xBD)  or xstr=char(xBD) \r\n\u003c/pre\u003e\u003cp\u003e\u003cb\u003eInput:\u003c/b\u003e [N,K]  [ Inputs to nchoosek(N,K) 0\u0026lt;=K\u0026lt;=N\u0026lt;200 ]\u003c/p\u003e\u003cp\u003e\u003cb\u003eOutput:\u003c/b\u003e C  (char variable of C=nchoosek(n,k) or BigDecimal variable type )\u003c/p\u003e\u003cp\u003e\u003cb\u003eTheory:\u003c/b\u003e\u003c/p\u003e\u003cp\u003e\u003ca href = \"http://en.wikipedia.org/wiki/Binomial_coefficient\"\u003eC(n,k)\u003c/a\u003e link shows multiple evaluation methods.\u003c/p\u003e\u003cp\u003eC(n,k)= n!/(k!(n-k)!)\u003c/p\u003e\u003cimg src = \"http://upload.wikimedia.org/math/b/1/a/b1a5828ee5ec18a1362999a76f3c63e6.png\"\u003e\u003cp\u003eThe factorial method gives a direct solution while the multiplicative may require fewer operations.\u003c/p\u003e\u003cp\u003e\u003cb\u003eHint:\u003c/b\u003e C(5,3)=(5/3)*(4/2)*(3/1)= (5/1)*(4/2)*(3/3); numerator has k terms\u003c/p\u003e\u003cp\u003e\u003cb\u003eFuture Challenges:\u003c/b\u003e\u003c/p\u003e\u003cp\u003e1. \u003ca href = \"http://www.mathworks.com/matlabcentral/cody/problems/1833-usage-of-java-math-add-multiply-pow\"\u003eUsage of java.math\u003c/a\u003e\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003e2. nchoosek_large (full precision)\r\n3. Next Prime\r\n4. factor_large\r\n\u003c/pre\u003e\u003cp\u003e5. \u003ca href = \"http://www.mathworks.com/matlabcentral/cody/problems/1854-factorial-unlimited-size-java-math\"\u003eFactorial\u003c/a\u003e\u003c/p\u003e","function_template":"function y = nchoosekJava(N,K)\r\n  y = num2str(nchoosek(N,K));\r\nend","test_suite":"%%\r\ntic\r\nN=5;K=2;\r\nNK=nchoosekJava(N,K);\r\ntoc\r\nassert(strcmp(NK,num2str(nchoosek(N,K))))\r\n%%\r\ntic\r\nN=randi(10);\r\nK=randi(N);\r\nNK=nchoosekJava(N,K);\r\ntoc\r\nassert(strcmp(NK,num2str(nchoosek(N,K))))\r\n%%\r\ntic\r\nN=100;\r\nK=50;\r\nNK=nchoosekJava(N,K);\r\ntoc\r\nassert(strcmp(NK,'100891344545564193334812497256'))\r\n%%\r\ntic\r\nN=200;\r\nK=75;\r\nNK=nchoosekJava(N,K);\r\ntoc\r\nassert(strcmp(NK,'168849997346404286704489530268603459022868706883102845056'))\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":3097,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":52,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2013-08-30T03:09:06.000Z","updated_at":"2026-02-08T19:48:26.000Z","published_at":"2013-08-30T03:48:17.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/media/image1.png\"}],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCalculate the binomial coefficient nchoosek with full accuracy. This challenge may use the wonderful word of java.math that allows unlimited precision calculations. The primary reference sites are\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://docs.oracle.com/javase/1.5.0/docs/api/java/lang/Number.html\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eJava Math\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://docs.oracle.com/javase/1.5.0/docs/api/java/math/BigDecimal.html\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eJava BigDecimal\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, and\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://docs.oracle.com/javase/1.5.0/docs/api/java/math/BigInteger.html\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eJava BigInteger\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe usage of BigDecimal functions add, multiply, and divide may be required.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eJava Math:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[vd-decimal value, vstr-string, vi-integer value \\nxBD=java.math.BigDecimal(vd);  % valid vd,vstr,vi creates xBD a BigDecimal variable\\nimport java.math.*;  % simplifies statements\\nxBD=BigDecimal(vstr);\\nxplusyBD=xBD.add(BigDecimal(y)); % add input requires BD type\\nxmultiplyzBD=xBD.multiply(BigDecimal(z));  % multiply input requires BD type\\nxdividezBD=xBD.divide(BigDecimal(z));  % divide input requires BD type\\nxmultydivz=xBD.multiply(yBD).divide(zBD);  out=x*y/z\\n\\nTo convert java to string of unlimited length can be achieved via java toString or Matlab char\\n\\nxstr=toString(xBD)  or xstr=char(xBD)]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eInput:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e [N,K] [ Inputs to nchoosek(N,K) 0\u0026lt;=K\u0026lt;=N\u0026lt;200 ]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eOutput:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e C (char variable of C=nchoosek(n,k) or BigDecimal variable type )\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTheory:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"http://en.wikipedia.org/wiki/Binomial_coefficient\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eC(n,k)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e link shows multiple evaluation methods.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eC(n,k)= n!/(k!(n-k)!)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe factorial method gives a direct solution while the multiplicative may require fewer operations.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eHint:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e C(5,3)=(5/3)*(4/2)*(3/1)= (5/1)*(4/2)*(3/3); numerator has k terms\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eFuture Challenges:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e1.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://www.mathworks.com/matlabcentral/cody/problems/1833-usage-of-java-math-add-multiply-pow\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eUsage of java.math\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[2. nchoosek_large (full precision)\\n3. Next Prime\\n4. factor_large]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e5.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://www.mathworks.com/matlabcentral/cody/problems/1854-factorial-unlimited-size-java-math\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eFactorial\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\"}]}"}],"problem_search":{"errors":[],"problems":[{"id":1854,"title":"Factorial: Unlimited Size : java.math","description":"This challenge is an application of java.math that allows unlimited precision calculations.  The primary reference sites are \u003chttp://docs.oracle.com/javase/1.5.0/docs/api/java/lang/Number.html Java Math\u003e, \u003chttp://docs.oracle.com/javase/1.5.0/docs/api/java/math/BigDecimal.html Java BigDecimal\u003e, and \u003chttp://docs.oracle.com/javase/1.5.0/docs/api/java/math/BigInteger.html Java BigInteger\u003e.\r\n\r\nThe usage of BigDecimal function multiply will be essential.\r\n\r\nJava Math tutorial: (Simplified summary that is believed correct)\r\n\r\n  vd-decimal value, vstr-string, vi-integer value \r\n  xBD=java.math.BigDecimal(vd);  % valid vd,vstr,vi creates xBD a BigDecimal variable\r\n  import java.math.*;  % simplifies statements\r\n  xBD=BigDecimal(vstr);\r\n \r\n  xmultiplyzBD=xBD.multiply(BigDecimal(z));  % multiply input requires BD type\r\n  \r\n  To convert java to string of unlimited length can be achieved via java toString or Matlab char\r\n  \r\n  xstr=toString(xBD)  or xstr=char(xBD) \r\n\r\n*Input:* N  [1\u003c N \u003c 1000]\r\n\r\n*Output:* Y  (char variable of Y=N! or a BigDecimal variable)\r\n\r\n\u003chttp://www.nitrxgen.net/factorialcalc.php Factorial Calculator\u003e\r\n\r\n*Related Challenges:*\r\n\r\n\u003chttp://www.mathworks.com/matlabcentral/cody/problems/1833-usage-of-java-math-add-multiply-pow 1. Usage of java math\u003e\r\n\r\n  2. nchoosek_large (full precision)\r\n  2. Next Prime\r\n  3. factor_large\r\n  4. Factorial","description_html":"\u003cp\u003eThis challenge is an application of java.math that allows unlimited precision calculations.  The primary reference sites are \u003ca href = \"http://docs.oracle.com/javase/1.5.0/docs/api/java/lang/Number.html\"\u003eJava Math\u003c/a\u003e, \u003ca href = \"http://docs.oracle.com/javase/1.5.0/docs/api/java/math/BigDecimal.html\"\u003eJava BigDecimal\u003c/a\u003e, and \u003ca href = \"http://docs.oracle.com/javase/1.5.0/docs/api/java/math/BigInteger.html\"\u003eJava BigInteger\u003c/a\u003e.\u003c/p\u003e\u003cp\u003eThe usage of BigDecimal function multiply will be essential.\u003c/p\u003e\u003cp\u003eJava Math tutorial: (Simplified summary that is believed correct)\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003evd-decimal value, vstr-string, vi-integer value \r\nxBD=java.math.BigDecimal(vd);  % valid vd,vstr,vi creates xBD a BigDecimal variable\r\nimport java.math.*;  % simplifies statements\r\nxBD=BigDecimal(vstr);\r\n\u003c/pre\u003e\u003cpre class=\"language-matlab\"\u003exmultiplyzBD=xBD.multiply(BigDecimal(z));  % multiply input requires BD type\r\n\u003c/pre\u003e\u003cpre class=\"language-matlab\"\u003eTo convert java to string of unlimited length can be achieved via java toString or Matlab char\r\n\u003c/pre\u003e\u003cpre class=\"language-matlab\"\u003exstr=toString(xBD)  or xstr=char(xBD) \r\n\u003c/pre\u003e\u003cp\u003e\u003cb\u003eInput:\u003c/b\u003e N  [1\u0026lt; N \u0026lt; 1000]\u003c/p\u003e\u003cp\u003e\u003cb\u003eOutput:\u003c/b\u003e Y  (char variable of Y=N! or a BigDecimal variable)\u003c/p\u003e\u003cp\u003e\u003ca href = \"http://www.nitrxgen.net/factorialcalc.php\"\u003eFactorial Calculator\u003c/a\u003e\u003c/p\u003e\u003cp\u003e\u003cb\u003eRelated Challenges:\u003c/b\u003e\u003c/p\u003e\u003cp\u003e\u003ca href = \"http://www.mathworks.com/matlabcentral/cody/problems/1833-usage-of-java-math-add-multiply-pow\"\u003e1. Usage of java math\u003c/a\u003e\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003e2. nchoosek_large (full precision)\r\n2. Next Prime\r\n3. factor_large\r\n4. Factorial\r\n\u003c/pre\u003e","function_template":"function y = factorialJava(N)\r\n import java.math.*\r\n y = num2str(factorial(N));\r\nend","test_suite":"%%\r\ntic\r\nN=69;\r\ny = factorialJava(N);\r\nassert(strcmp(y,'171122452428141311372468338881272839092270544893520369393648040923257279754140647424000000000000000'))\r\ntoc\r\n%%\r\ntic\r\nN=randi(18)\r\ny = factorialJava(N);\r\nassert(strcmp(y,num2str(factorial(N))))\r\ntoc\r\n%%\r\ntic\r\nN=randi(18)\r\ny = factorialJava(N);\r\nassert(strcmp(y,num2str(factorial(N))))\r\ntoc\r\n%%\r\ntic\r\nN=1000;\r\ny = factorialJava(N);\r\nassert(strcmp(y,'402387260077093773543702433923003985719374864210714632543799910429938512398629020592044208486969404800479988610197196058631666872994808558901323829669944590997424504087073759918823627727188732519779505950995276120874975462497043601418278094646496291056393887437886487337119181045825783647849977012476632889835955735432513185323958463075557409114262417474349347553428646576611667797396668820291207379143853719588249808126867838374559731746136085379534524221586593201928090878297308431392844403281231558611036976801357304216168747609675871348312025478589320767169132448426236131412508780208000261683151027341827977704784635868170164365024153691398281264810213092761244896359928705114964975419909342221566832572080821333186116811553615836546984046708975602900950537616475847728421889679646244945160765353408198901385442487984959953319101723355556602139450399736280750137837615307127761926849034352625200015888535147331611702103968175921510907788019393178114194545257223865541461062892187960223838971476088506276862967146674697562911234082439208160153780889893964518263243671616762179168909779911903754031274622289988005195444414282012187361745992642956581746628302955570299024324153181617210465832036786906117260158783520751516284225540265170483304226143974286933061690897968482590125458327168226458066526769958652682272807075781391858178889652208164348344825993266043367660176999612831860788386150279465955131156552036093988180612138558600301435694527224206344631797460594682573103790084024432438465657245014402821885252470935190620929023136493273497565513958720559654228749774011413346962715422845862377387538230483865688976461927383814900140767310446640259899490222221765904339901886018566526485061799702356193897017860040811889729918311021171229845901641921068884387121855646124960798722908519296819372388642614839657382291123125024186649353143970137428531926649875337218940694281434118520158014123344828015051399694290153483077644569099073152433278288269864602789864321139083506217095002597389863554277196742822248757586765752344220207573630569498825087968928162753848863396909959826280956121450994871701244516461260379029309120889086942028510640182154399457156805941872748998094254742173582401063677404595741785160829230135358081840096996372524230560855903700624271243416909004153690105933983835777939410970027753472000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000'))\r\ntoc\r\n%%\r\ntic\r\nN=42;\r\ny = factorialJava(N);\r\nassert(strcmp(y,'1405006117752879898543142606244511569936384000000000'))\r\ntoc\r\n\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":3097,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":47,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2013-08-30T01:59:14.000Z","updated_at":"2025-12-10T03:30:57.000Z","published_at":"2013-08-30T02:37:28.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThis challenge is an application of java.math that allows unlimited precision calculations. The primary reference sites are\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://docs.oracle.com/javase/1.5.0/docs/api/java/lang/Number.html\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eJava Math\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://docs.oracle.com/javase/1.5.0/docs/api/java/math/BigDecimal.html\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eJava BigDecimal\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, and\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://docs.oracle.com/javase/1.5.0/docs/api/java/math/BigInteger.html\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eJava BigInteger\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe usage of BigDecimal function multiply will be essential.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eJava Math tutorial: (Simplified summary that is believed correct)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[vd-decimal value, vstr-string, vi-integer value \\nxBD=java.math.BigDecimal(vd);  % valid vd,vstr,vi creates xBD a BigDecimal variable\\nimport java.math.*;  % simplifies statements\\nxBD=BigDecimal(vstr);\\n\\nxmultiplyzBD=xBD.multiply(BigDecimal(z));  % multiply input requires BD type\\n\\nTo convert java to string of unlimited length can be achieved via java toString or Matlab char\\n\\nxstr=toString(xBD)  or xstr=char(xBD)]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eInput:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e N [1\u0026lt; N \u0026lt; 1000]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eOutput:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e Y (char variable of Y=N! or a BigDecimal variable)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"http://www.nitrxgen.net/factorialcalc.php\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eFactorial Calculator\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eRelated Challenges:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"http://www.mathworks.com/matlabcentral/cody/problems/1833-usage-of-java-math-add-multiply-pow\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e1. Usage of java math\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[2. nchoosek_large (full precision)\\n2. Next Prime\\n3. factor_large\\n4. Factorial]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":1833,"title":"Usage of java.math : Add, Multiply, Pow","description":"This challenge is an introduction to the wonderful word of java.math that allows unlimited precision calculations.  The primary reference sites are \u003chttp://docs.oracle.com/javase/1.5.0/docs/api/java/lang/Number.html Java Math\u003e, \u003chttp://docs.oracle.com/javase/1.5.0/docs/api/java/math/BigDecimal.html Java BigDecimal\u003e, and \u003chttp://docs.oracle.com/javase/1.5.0/docs/api/java/math/BigInteger.html Java BigInteger\u003e.\r\n\r\nThe usage of BigDecimal functions add, multiply, and pow will be tested.\r\n\r\nJava Math tutorial: (Simplified summary that is believed correct)\r\n\r\n  vd-decimal value, vstr-string, vi-integer value \r\n  xBD=java.math.BigDecimal(vd);  % valid vd,vstr,vi creates xBD a BigDecimal variable\r\n  import java.math.*;  % simplifies statements\r\n  xBD=BigDecimal(vstr);\r\n  x2pwrBD=xBD.pow(vi); % Invalid: vd,vstr,BD\r\n  xplusyBD=xBD.add(BigDecimal(y)); % add input requires BD type\r\n  xmultiplyzBD=xBD.multiply(BigDecimal(z));  % multiply input requires BD type\r\n  \r\n  To convert java to string of unlimited length can be achieved via java toString or Matlab char\r\n  \r\n  xstr=toString(xBD)  or xstr=char(xBD) \r\n\r\n*Input:* X,Y, function_case  [X,Y double or str, function 1:X+Y, 2:X*Y, 3: X^Y(double)\r\n\r\n*Output:* z  (char variable)\r\n\r\n*Future Challenges:*\r\n\r\n  1. nchoosek_large (full precision)\r\n  2. Next Prime\r\n  3. factor_large\r\n\r\n4. \u003chttp://www.mathworks.com/matlabcentral/cody/problems/1854-factorial-unlimited-size-java-math Factorial\u003e","description_html":"\u003cp\u003eThis challenge is an introduction to the wonderful word of java.math that allows unlimited precision calculations.  The primary reference sites are \u003ca href = \"http://docs.oracle.com/javase/1.5.0/docs/api/java/lang/Number.html\"\u003eJava Math\u003c/a\u003e, \u003ca href = \"http://docs.oracle.com/javase/1.5.0/docs/api/java/math/BigDecimal.html\"\u003eJava BigDecimal\u003c/a\u003e, and \u003ca href = \"http://docs.oracle.com/javase/1.5.0/docs/api/java/math/BigInteger.html\"\u003eJava BigInteger\u003c/a\u003e.\u003c/p\u003e\u003cp\u003eThe usage of BigDecimal functions add, multiply, and pow will be tested.\u003c/p\u003e\u003cp\u003eJava Math tutorial: (Simplified summary that is believed correct)\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003evd-decimal value, vstr-string, vi-integer value \r\nxBD=java.math.BigDecimal(vd);  % valid vd,vstr,vi creates xBD a BigDecimal variable\r\nimport java.math.*;  % simplifies statements\r\nxBD=BigDecimal(vstr);\r\nx2pwrBD=xBD.pow(vi); % Invalid: vd,vstr,BD\r\nxplusyBD=xBD.add(BigDecimal(y)); % add input requires BD type\r\nxmultiplyzBD=xBD.multiply(BigDecimal(z));  % multiply input requires BD type\r\n\u003c/pre\u003e\u003cpre class=\"language-matlab\"\u003eTo convert java to string of unlimited length can be achieved via java toString or Matlab char\r\n\u003c/pre\u003e\u003cpre class=\"language-matlab\"\u003exstr=toString(xBD)  or xstr=char(xBD) \r\n\u003c/pre\u003e\u003cp\u003e\u003cb\u003eInput:\u003c/b\u003e X,Y, function_case  [X,Y double or str, function 1:X+Y, 2:X*Y, 3: X^Y(double)\u003c/p\u003e\u003cp\u003e\u003cb\u003eOutput:\u003c/b\u003e z  (char variable)\u003c/p\u003e\u003cp\u003e\u003cb\u003eFuture Challenges:\u003c/b\u003e\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003e1. nchoosek_large (full precision)\r\n2. Next Prime\r\n3. factor_large\r\n\u003c/pre\u003e\u003cp\u003e4. \u003ca href = \"http://www.mathworks.com/matlabcentral/cody/problems/1854-factorial-unlimited-size-java-math\"\u003eFactorial\u003c/a\u003e\u003c/p\u003e","function_template":"function zstr=java_math(x,y,select)\r\n import java.math.*\r\n\r\n switch select\r\n    case 1 % add x+y\r\n     zBD=x+y;\r\n    case 2 % multiply  x*y\r\n     zBD=x*y;\r\n    case 3 % power  x^y\r\n     zBD=x^y;\r\n     \r\n end\r\n zstr=char(zBD);\r\n\r\nend","test_suite":"%%\r\nx=2;\r\ny=64;\r\n% power\r\nzstr=java_math(x,y,3);\r\nassert(strcmp(zstr,'18446744073709551616'),sprintf('zstr=%s\\n',zstr))\r\n%%\r\nxstr='18446744073709551615';\r\ny=3;\r\n%Add\r\nzstr=java_math(xstr,y,1);\r\nassert(strcmp(zstr,'18446744073709551618'),sprintf('zstr=%s\\n',zstr))\r\n%%\r\nx=2^53;  % largest eps==1 double\r\ny=2^11;\r\n%Multiply\r\nzstr=java_math(x,y,2);\r\nassert(strcmp(zstr,'18446744073709551616'),sprintf('zstr=%s\\n',zstr))\r\n%%\r\nx=2^53;  % largest valid double\r\ny=2^12;\r\n% Multiply\r\nzstr=java_math(x,y,2);\r\nassert(strcmp(zstr,'36893488147419103232'),sprintf('zstr=%s\\n',zstr))\r\n%%\r\nx=randi(10);\r\ny=randi(100);\r\nzstr=java_math(x,y,1);\r\nassert(strcmp(zstr,num2str(x+y)),sprintf('x=%2i y=%3i x+y=%5i zstr=%s\\n',x,y,x+y,zstr))\r\n%%\r\nx=randi(10);\r\ny=randi(100);\r\nzstr=java_math(x,y,2);\r\nassert(strcmp(zstr,num2str(x*y)),sprintf('x=%2i y=%3i x*y=%5i zstr=%s\\n',x,y,x*y,zstr))\r\n%%\r\nx=randi(20);\r\ny=randi(5);\r\nzstr=java_math(x,y,3);\r\nassert(strcmp(zstr,num2str(x^y)),sprintf('x=%2i y=%3i x^y=%8i zstr=%s\\n',x,y,x^y,zstr))\r\n\r\n\r\n","published":true,"deleted":false,"likes_count":4,"comments_count":3,"created_by":3097,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":37,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2013-08-18T17:42:26.000Z","updated_at":"2025-12-10T01:06:03.000Z","published_at":"2013-08-18T19:02:27.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThis challenge is an introduction to the wonderful word of java.math that allows unlimited precision calculations. The primary reference sites are\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://docs.oracle.com/javase/1.5.0/docs/api/java/lang/Number.html\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eJava Math\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://docs.oracle.com/javase/1.5.0/docs/api/java/math/BigDecimal.html\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eJava BigDecimal\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, and\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://docs.oracle.com/javase/1.5.0/docs/api/java/math/BigInteger.html\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eJava BigInteger\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe usage of BigDecimal functions add, multiply, and pow will be tested.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eJava Math tutorial: (Simplified summary that is believed correct)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[vd-decimal value, vstr-string, vi-integer value \\nxBD=java.math.BigDecimal(vd);  % valid vd,vstr,vi creates xBD a BigDecimal variable\\nimport java.math.*;  % simplifies statements\\nxBD=BigDecimal(vstr);\\nx2pwrBD=xBD.pow(vi); % Invalid: vd,vstr,BD\\nxplusyBD=xBD.add(BigDecimal(y)); % add input requires BD type\\nxmultiplyzBD=xBD.multiply(BigDecimal(z));  % multiply input requires BD type\\n\\nTo convert java to string of unlimited length can be achieved via java toString or Matlab char\\n\\nxstr=toString(xBD)  or xstr=char(xBD)]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eInput:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e X,Y, function_case [X,Y double or str, function 1:X+Y, 2:X*Y, 3: X^Y(double)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eOutput:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e z (char variable)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eFuture Challenges:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[1. nchoosek_large (full precision)\\n2. Next Prime\\n3. factor_large]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e4.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://www.mathworks.com/matlabcentral/cody/problems/1854-factorial-unlimited-size-java-math\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eFactorial\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":1855,"title":"Usage of java.math : N Choose K with unlimited precision","description":"Calculate the binomial coefficient nchoosek with full accuracy. This challenge may use the wonderful word of java.math that allows unlimited precision calculations.  The primary reference sites are \u003chttp://docs.oracle.com/javase/1.5.0/docs/api/java/lang/Number.html Java Math\u003e, \u003chttp://docs.oracle.com/javase/1.5.0/docs/api/java/math/BigDecimal.html Java BigDecimal\u003e, and \u003chttp://docs.oracle.com/javase/1.5.0/docs/api/java/math/BigInteger.html Java BigInteger\u003e.\r\n\r\nThe usage of BigDecimal functions add, multiply, and divide may be required.\r\n\r\nJava Math:\r\n\r\n  vd-decimal value, vstr-string, vi-integer value \r\n  xBD=java.math.BigDecimal(vd);  % valid vd,vstr,vi creates xBD a BigDecimal variable\r\n  import java.math.*;  % simplifies statements\r\n  xBD=BigDecimal(vstr);\r\n  xplusyBD=xBD.add(BigDecimal(y)); % add input requires BD type\r\n  xmultiplyzBD=xBD.multiply(BigDecimal(z));  % multiply input requires BD type\r\n  xdividezBD=xBD.divide(BigDecimal(z));  % divide input requires BD type\r\n  xmultydivz=xBD.multiply(yBD).divide(zBD);  out=x*y/z\r\n  \r\n  To convert java to string of unlimited length can be achieved via java toString or Matlab char\r\n  \r\n  xstr=toString(xBD)  or xstr=char(xBD) \r\n\r\n*Input:* [N,K]  [ Inputs to nchoosek(N,K) 0\u003c=K\u003c=N\u003c200 ]\r\n\r\n*Output:* C  (char variable of C=nchoosek(n,k) or BigDecimal variable type )\r\n\r\n*Theory:*\r\n\r\n\u003chttp://en.wikipedia.org/wiki/Binomial_coefficient C(n,k)\u003e link shows multiple evaluation methods.\r\n\r\nC(n,k)= n!/(k!(n-k)!)\r\n\r\n\u003c\u003chttp://upload.wikimedia.org/math/b/1/a/b1a5828ee5ec18a1362999a76f3c63e6.png\u003e\u003e\r\n\r\nThe factorial method gives a direct solution while the multiplicative may require fewer operations. \r\n\r\n*Hint:* C(5,3)=(5/3)*(4/2)*(3/1)= (5/1)*(4/2)*(3/3); numerator has k terms\r\n\r\n*Future Challenges:*\r\n\r\n1. \u003chttp://www.mathworks.com/matlabcentral/cody/problems/1833-usage-of-java-math-add-multiply-pow Usage of java.math\u003e\r\n\r\n  2. nchoosek_large (full precision)\r\n  3. Next Prime\r\n  4. factor_large\r\n\r\n5. \u003chttp://www.mathworks.com/matlabcentral/cody/problems/1854-factorial-unlimited-size-java-math Factorial\u003e","description_html":"\u003cp\u003eCalculate the binomial coefficient nchoosek with full accuracy. This challenge may use the wonderful word of java.math that allows unlimited precision calculations.  The primary reference sites are \u003ca href = \"http://docs.oracle.com/javase/1.5.0/docs/api/java/lang/Number.html\"\u003eJava Math\u003c/a\u003e, \u003ca href = \"http://docs.oracle.com/javase/1.5.0/docs/api/java/math/BigDecimal.html\"\u003eJava BigDecimal\u003c/a\u003e, and \u003ca href = \"http://docs.oracle.com/javase/1.5.0/docs/api/java/math/BigInteger.html\"\u003eJava BigInteger\u003c/a\u003e.\u003c/p\u003e\u003cp\u003eThe usage of BigDecimal functions add, multiply, and divide may be required.\u003c/p\u003e\u003cp\u003eJava Math:\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003evd-decimal value, vstr-string, vi-integer value \r\nxBD=java.math.BigDecimal(vd);  % valid vd,vstr,vi creates xBD a BigDecimal variable\r\nimport java.math.*;  % simplifies statements\r\nxBD=BigDecimal(vstr);\r\nxplusyBD=xBD.add(BigDecimal(y)); % add input requires BD type\r\nxmultiplyzBD=xBD.multiply(BigDecimal(z));  % multiply input requires BD type\r\nxdividezBD=xBD.divide(BigDecimal(z));  % divide input requires BD type\r\nxmultydivz=xBD.multiply(yBD).divide(zBD);  out=x*y/z\r\n\u003c/pre\u003e\u003cpre class=\"language-matlab\"\u003eTo convert java to string of unlimited length can be achieved via java toString or Matlab char\r\n\u003c/pre\u003e\u003cpre class=\"language-matlab\"\u003exstr=toString(xBD)  or xstr=char(xBD) \r\n\u003c/pre\u003e\u003cp\u003e\u003cb\u003eInput:\u003c/b\u003e [N,K]  [ Inputs to nchoosek(N,K) 0\u0026lt;=K\u0026lt;=N\u0026lt;200 ]\u003c/p\u003e\u003cp\u003e\u003cb\u003eOutput:\u003c/b\u003e C  (char variable of C=nchoosek(n,k) or BigDecimal variable type )\u003c/p\u003e\u003cp\u003e\u003cb\u003eTheory:\u003c/b\u003e\u003c/p\u003e\u003cp\u003e\u003ca href = \"http://en.wikipedia.org/wiki/Binomial_coefficient\"\u003eC(n,k)\u003c/a\u003e link shows multiple evaluation methods.\u003c/p\u003e\u003cp\u003eC(n,k)= n!/(k!(n-k)!)\u003c/p\u003e\u003cimg src = \"http://upload.wikimedia.org/math/b/1/a/b1a5828ee5ec18a1362999a76f3c63e6.png\"\u003e\u003cp\u003eThe factorial method gives a direct solution while the multiplicative may require fewer operations.\u003c/p\u003e\u003cp\u003e\u003cb\u003eHint:\u003c/b\u003e C(5,3)=(5/3)*(4/2)*(3/1)= (5/1)*(4/2)*(3/3); numerator has k terms\u003c/p\u003e\u003cp\u003e\u003cb\u003eFuture Challenges:\u003c/b\u003e\u003c/p\u003e\u003cp\u003e1. \u003ca href = \"http://www.mathworks.com/matlabcentral/cody/problems/1833-usage-of-java-math-add-multiply-pow\"\u003eUsage of java.math\u003c/a\u003e\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003e2. nchoosek_large (full precision)\r\n3. Next Prime\r\n4. factor_large\r\n\u003c/pre\u003e\u003cp\u003e5. \u003ca href = \"http://www.mathworks.com/matlabcentral/cody/problems/1854-factorial-unlimited-size-java-math\"\u003eFactorial\u003c/a\u003e\u003c/p\u003e","function_template":"function y = nchoosekJava(N,K)\r\n  y = num2str(nchoosek(N,K));\r\nend","test_suite":"%%\r\ntic\r\nN=5;K=2;\r\nNK=nchoosekJava(N,K);\r\ntoc\r\nassert(strcmp(NK,num2str(nchoosek(N,K))))\r\n%%\r\ntic\r\nN=randi(10);\r\nK=randi(N);\r\nNK=nchoosekJava(N,K);\r\ntoc\r\nassert(strcmp(NK,num2str(nchoosek(N,K))))\r\n%%\r\ntic\r\nN=100;\r\nK=50;\r\nNK=nchoosekJava(N,K);\r\ntoc\r\nassert(strcmp(NK,'100891344545564193334812497256'))\r\n%%\r\ntic\r\nN=200;\r\nK=75;\r\nNK=nchoosekJava(N,K);\r\ntoc\r\nassert(strcmp(NK,'168849997346404286704489530268603459022868706883102845056'))\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":3097,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":52,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2013-08-30T03:09:06.000Z","updated_at":"2026-02-08T19:48:26.000Z","published_at":"2013-08-30T03:48:17.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/media/image1.png\"}],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCalculate the binomial coefficient nchoosek with full accuracy. This challenge may use the wonderful word of java.math that allows unlimited precision calculations. The primary reference sites are\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://docs.oracle.com/javase/1.5.0/docs/api/java/lang/Number.html\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eJava Math\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://docs.oracle.com/javase/1.5.0/docs/api/java/math/BigDecimal.html\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eJava BigDecimal\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, and\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://docs.oracle.com/javase/1.5.0/docs/api/java/math/BigInteger.html\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eJava BigInteger\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe usage of BigDecimal functions add, multiply, and divide may be required.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eJava Math:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[vd-decimal value, vstr-string, vi-integer value \\nxBD=java.math.BigDecimal(vd);  % valid vd,vstr,vi creates xBD a BigDecimal variable\\nimport java.math.*;  % simplifies statements\\nxBD=BigDecimal(vstr);\\nxplusyBD=xBD.add(BigDecimal(y)); % add input requires BD type\\nxmultiplyzBD=xBD.multiply(BigDecimal(z));  % multiply input requires BD type\\nxdividezBD=xBD.divide(BigDecimal(z));  % divide input requires BD type\\nxmultydivz=xBD.multiply(yBD).divide(zBD);  out=x*y/z\\n\\nTo convert java to string of unlimited length can be achieved via java toString or Matlab char\\n\\nxstr=toString(xBD)  or xstr=char(xBD)]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eInput:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e [N,K] [ Inputs to nchoosek(N,K) 0\u0026lt;=K\u0026lt;=N\u0026lt;200 ]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eOutput:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e C (char variable of C=nchoosek(n,k) or BigDecimal variable type )\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTheory:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"http://en.wikipedia.org/wiki/Binomial_coefficient\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eC(n,k)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e link shows multiple evaluation methods.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eC(n,k)= n!/(k!(n-k)!)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe factorial method gives a direct solution while the multiplicative may require fewer operations.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eHint:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e C(5,3)=(5/3)*(4/2)*(3/1)= (5/1)*(4/2)*(3/3); numerator has k terms\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eFuture Challenges:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e1.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://www.mathworks.com/matlabcentral/cody/problems/1833-usage-of-java-math-add-multiply-pow\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eUsage of java.math\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[2. nchoosek_large (full precision)\\n3. Next Prime\\n4. factor_large]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e5.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://www.mathworks.com/matlabcentral/cody/problems/1854-factorial-unlimited-size-java-math\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eFactorial\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" 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