Puzzles- contd

Another simple one for stress relief. :wink:

How can you split Rs. 1.15 in six denominations so that you can not have change for one rupee, 50 paise, 25 paise, 10 paise and 5 paise?

I leave this to those in India to solve! :) I have not handled Indian coins in a long time! I don't even remember what denominations are available now ! :)

5 Paise, 10 paise, 20 paise, 25 paise, 50 paise and one rupee denominations can be used. (1 Rupee = 100 paise)

50+25+10+10+10+10?

:clap: Kirukkan :thumbsup:

Quote:

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Originally Posted by kirukan

Quote:

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Originally Posted by Benny Lava

11826^2 = 139854276
30384^2 = 923187456

Below is the OML(optimization modeling language) model I wrote to arrive at this:

Code:

---

Model
[
Decisions[
Integers[1,9],a,b,c,d,e,f,g,h,i
],
Decisions[
Integer[10000,31622],y
],

Constraints[
a + b*10 + c*100 + d*1000 + e*10000 + f*100000 + g*1000000 + h*10000000 + i*10000000 == y*y
Unequal[a,b,c,d,e,f,g,h,i],
],

Goals[
Minimize[a + b*10 + c*100 + d*1000 + e*10000 + f*100000 + g*1000000 + h*10000000 + i*100000000]
]
 
]

---

I think this is one hellova tool from Microsoft! :2thumbsup: :2thumbsup: Very simple and easy to solve optimization problems using this. Others interested may try this from here:

http://code.msdn.microsoft.com/solverfoundation

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Kirukans kirukkal code :wink: for getting the same result
--TSQL MSSQL2005

Code:

---

declare @num bigint ,@min bigint ,@max bigint , @sqr bigint,@total int,@rnd varchar(9),@con varchar(9),@cnt int
set @sqr=0

set @num=10000
set @min=0
set @max=0
while(@num<100000)
begin
        set @num=@num+1
        set @sqr=power(@num,2)
        set @rnd= ltrim(str(@sqr))
        if(len(@rnd)>9) break
        set @total=1
        if (charindex('0',@rnd)>0) continue
        set @con=''
        set @cnt=1
        while (@cnt<10)
        begin
                if(charindex(substring(@rnd,@cnt,1),@con)>0)
                begin
                        set @total=0
                        break
                end
                else
                set @con=@con+substring(@rnd,@cnt,1)
                set @cnt=@cnt+1
        end
                if(@total=1)
                begin
                        if(@min=0) set @min=@num
                        set @max=@num
                end
end
select @min as Minimum,convert(bigint,power(@min,2)) Min ,@max as Maximum,convert(bigint,power(@max,2)) Max

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-

Kirukkan

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Splendid! :clap:

I am no good at programming, just script some timepass kirukkals but you call yours a kirukkal!! :shock: You have coded everything from scratch!

Anyway this must be much quicker since we just have to square 9000 numbers and check if they have unique digit, whereas my method would have to undergo at least 9! iterations to arrive at solution! :thumbsup:

Quote:

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Originally Posted by GP

For the clock puzzle,

The repairman has put minute hand on the place of seconds hand.

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idhu correct thaana?

Quote:

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Originally Posted by GP

Quote:

---

Originally Posted by GP

For the clock puzzle,

The repairman has put minute hand on the place of seconds hand.

---

idhu correct thaana?

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Yes.. yes! Forgot to reply.. Good work! :2thumbsup:

This one is pretty simple!

"A half is a third of it. What is it?" :P

1.5.
half is one third of 1.5.
:huh: