學(xué)習(xí)使我3團(tuán)隊(duì)解謎賽

PuzzleRound團(tuán)隊(duì)解謎賽TwentyFour(5Ineachoftheproblemsinthissection,youwillbegivenfournumbers,andyourgoalwillbetocombinethemusingparenthesesandthefourbasicoperations(addition,subtraction,multiplication,anddivision)toget24.Forexample,ifthefournumberswere2,4,4,6,onesolutionwouldbe6(4+4)2=24.Eachproblemisworth1point.1.24點(diǎn)（5分4個(gè)數(shù)字，你的目標(biāo)是使用括號(hào)以及四種基本運(yùn)算（加減乘除）來(lái)得到24。例如，給定四個(gè)數(shù)字2，4，4，6，其中一個(gè)答案是6(4+4)/2=24.每個(gè)問(wèn)題分值為11.2.Cryptarithmetic(3Inthefollowingproblems,youwillbegivensomebasicarithmeticproblems,withtheanswersworkedout.However,allthedigitswillberecedbyletters,andyourjobistofindoutwhichlettersrepresentwhichdigits.Alettercannotrepresentmorethanonedigit,andadigitcannotberepresentedbymorethanoneletter.Forexample,ifyouweregiventheproblemSEND+MOREMONEY,youwouldgetthatO=0,M=1,Y=2,E=5,N=6,D=7,R=8,S=9.writingyouranswer,justwritetheoriginalarithmeticproblem,withthelettersrecednumbers.Thus,inthiscase,you’dwrite =10652.Eachproblemisworth1EAT+THAT=LETS+WAVE=DONALD+GERALD=ROBERT.Hint:D=算式謎（3分SEND+MORE=MONEYO=0,M=1,Y=2,E=5,N=6,D=7,R=8,S=9?；卮饐?wèn)題時(shí)只需將原式中字母替換為數(shù)字即可。例題中答案應(yīng)寫(xiě)為9567 =10652。每個(gè)問(wèn)題分值為1EAT+THAT=LETS+WAVE=DONALDGERALDROBERT.提示DNumberPuzzles(5Thissectionwillaskyouvariousproblemswhichaskyoutofindeitheraparticularnumberorasequence.Eachproblemisworth1point.Finda5digitnumbersuchthattheresultfromputtinga1totherightofthenumbergivesa6digitnumberthricethenumbergottenfromputtingthe1totheleftofthenumber.Arrangetheintegersfrom1to16inasequencesuchthatthesumofanytwoconsecutivenumbersinthesequenceisaperfectsquare.Finda10digitnumber,usingeachdigitfrom0to9exactlyonce,suchthatthenumberformedbytakingtheleftmostndigitsisdivisiblebyn,forallnbetween1and10,inclusive.I.e.,thenumberformedfromthefirstdigitisdivisibleby1,thenumberformedbythefirsttwodigitsisdivisibleby2,etc..Findthesmallestpositiveintegerwhich,upondivisionbyanynbetween2and10,leavesaremainderofn?Finda4digitnumbernsuchthatthelast4digitsofn2arethesameasthedigitsofn,inthesameorder..數(shù)字謎（5分這一部分問(wèn)題將要求你或找出一個(gè)特定數(shù)字或數(shù)列。每個(gè)問(wèn)題分值為找到一個(gè)五位數(shù)滿(mǎn)足：將1放到該五位數(shù)右側(cè)時(shí)得到數(shù)字三倍于將1放到其左側(cè)得到的116160--9nn整除，n1--‐（1整除，由左邊兩個(gè)數(shù)形成的數(shù)字可以被2整除，以此類(lèi)推）n除（n210210）--n滿(mǎn)足：n2n,nNumberCrossword(7Drawa3×3grid,andcedigitsfrom1to9suchthattheresulting--gnumbersintherows(lefttoright)andcolumns(toptobottom)satisfythegivenproperties.Youcanuseeachdigitmorethanonceornotatall.Youwillget7pointsforacorrectanswerand0pointsforanincorrectorplete1stRow:Aperfectcube.3rdRow:Aperfect1stColumn:Atriangularnumber(oftheform1+2+3 +n,forsomepositiveinteger2ndColumn:Aperfectpower.3rdColumn:Apalindrome.數(shù)字網(wǎng)（7分3×319填入網(wǎng)格內(nèi)，然后每一排從左到右，每一列從上到下第一列：一個(gè)三角數(shù)（三角數(shù)形式為：1+2+3 +n，n為正整數(shù)7分，回答錯(cuò)誤或答5、ReturnoftheMultipleChoiceTest(5Findtheanswerstothefollowingquestions.Youwillget5pointsifeveryansweriscorrect,and0pointsotherwise.WhatisthenumberA’s,C’s,andE’samongtheA. B. C. D. E.AssumeA,B,C,D,andEhavenumericalvaluesof1,2,3,4,and5,respectively.Whatisthesumofthelettersofalloftheanswers?A. B. C. D. E.WhatisthefirstprobleminwhichCistheA. B. C. D. E.Whatisthesumofthelettersoftheanswerstothe--nmrproblems,assumingthelettershavethesamenumericalvaluesasgiveninproblem2?A. B. C. D. E.Whatistheanswert