Venkatesh Dayalan wrote: > Two unknowns x and y are to be found by two mathematicians M1 and M2. > > I give the Product(x * y) to M1 and Sum(x + y) to M2.
Suppose that the product is 30. > > M1 doesn't know the value of S and M2 doesn't know the value of P. > > > > Now both the mathematicians enter separate room and do some calculation and > come back and they say.... > > > > M1: "I am not able to find x and y" > > M2: "I know that you can't find it" Given that the product is less than 200, the only way M2 could be sure that M1 could not get the answer is if there were no pair of primes that added to the sum. M1 notes that 2 * 15 is 30, and 2 + 15 = 17 cannot be written as the sum of two primes. But M1 also notes that 5 * 6 is 30, and 5 + 6 = 11 also cannot be written as the sum of two primes. So M1 can't be sure if x and y are 2 and 15 or 5 and 6 when the product is 30. > > M1: "I found x and y" > > M2: "I also found x and y" > > > > 2<=x,y<=99 > Come out with your approach to find the value of x and y for the given P and > S > > -- > "There is no Spoon" > > "asato ma sad gamaya - From delusion lead me to truth > tamaso ma jyotir gamaya - From darkness lead me to light > mrtyor mamrtam gamaya" - From death lead me to immortality > > ------=_Part_16710_26441211.1145766131779 > Content-Type: text/html; charset=WINDOWS-1252 > Content-Transfer-Encoding: quoted-printable > X-Google-AttachSize: 1275 > > > > <p class="MsoNormal">Two unknowns x and y are to be found by two > mathematicians > M1 and M2.</p> > > > <p class="MsoNormal">I give the Product(x * y) to M1 and Sum(x + y) to M2.</p> > > > <p class="MsoNormal">M1 doesn't know the value of S and M2 doesn't know the > value > of P.</p> > > > <p class="MsoNormal"> </p> > > > <p class="MsoNormal">Now both the mathematicians enter separate room and do > some calculation > and come back and they say....</p> > > > <p class="MsoNormal"> </p> > > > <p class="MsoNormal">M1: "I am not able to find x and y"</p> > > > <p class="MsoNormal">M2: "I know that you can't find it"</p> > > > <p class="MsoNormal">M1: "I found x and y"</p> > > > <p class="MsoNormal">M2: "I also found x and y"</p> > > > <p class="MsoNormal"> </p> > > > <p class="MsoNormal">2<=x,y<=99</p> > > > <span style="font-size: 12pt; font-family: "Times New Roman";">Come out with > your approach to find the value of x and > y for the given P and S</span><br clear="all"><br>-- <br>"There is no > Spoon"<br><br>"asato ma sad gamaya - From delusion lead me to > truth<br>tamaso ma jyotir gamaya - From darkness lead me to light<br> > mrtyor mamrtam gamaya" - From death lead me to immortality > > ------=_Part_16710_26441211.1145766131779-- ad me to immortality > > ------=_Part_16710_26441211.1145766131779-- --~--~---------~--~----~------------~-------~--~----~ You received this message because you are subscribed to the Google Groups "Algorithm Geeks" group. To post to this group, send email to algogeeks@googlegroups.com To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/algogeeks -~----------~----~----~----~------~----~------~--~---
