brian bovril

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These are replies submitted by brian bovril

@acer I dont get a numerical answer to your final two lines of code. just returns the above.

using maple 18.

@Carl Love 

the quote comes from pp 25 of 

which references pp8-10 

see also

BTW I did contact the author......

@Carl Love Fantastic! Here is the result of 3 iterations.

I wonder if you or someone else can assist in speeding up the calculation. according to the paper  "Because integrands are functions of playing-strength difference, integrals are convolutions and may be rapidly calculated via the FFT". any suggestions for my maple sheet?


found this at:

Using the digits 2, 0, 1, 5 once each and any of the signs + – x ÷, can you make the number 1? How about 2? Can you make each of the numbers 1–10? You can also use brackets () so you can do addition and subtraction before multiplication and division.
One set of solutions is:
1 + 0 x 2 x 5 = 1
2 + 0 x 1 x 5 = 2
–2 + 0 x 1 + 5 = 3
2 x 0 + 1 + 5 = 6
2 + 0 + 1 x 5 = 7
2 + 0 + 1 + 5 = 8
2 x 5 – 1 + 0 = 9
2 x 1 x 5 + 0 = 10
How to use your program to output some of these expressions?

Thanks @Kitonum and C.Love. Happy xmas /new year


i'll have to take your word for it.  for 1. when i run it, it takes a long time and i get error "maple cannot allocate enough memory...". i'm using M18, 64bit, 2GHz,8GB ram

well done Kitonum. this extends this worksheet by Dr Khan

given seeds [25,75,1,8,5,10] and the aim is 863 how can NumbersGame produce a similar output to

(25+75-5)x(10-1)+ 8.

(each seed can only be used as many times as it appears).

@acer nd Kitonum thanks

In case your wondering....

You would get a better response from forum members if you demonstrated you had a go at the problem beforehand, instead of expecting us to do your homework for you.

@acer too easy...


Thanks @Carl Love and Kitonum

@Carl Love thanks for your efforts. But can u do it  to suit  M15 cause that's all I've got.

@Carl Love 

Re the aside, maybe I didn't explain myself. Looking at the output of res[2], I want to extract the non-zero answers.
In the above expression, x[3]=6. For ease of reading, I want it to report "30=6x5" or "30=5+5+5+5+5+5".So it needs to map the third prime as a multiple of 6.

As another example, PF(44,10) yields x[1]=1,x[6]=1,x[10]=1. I want "44=2+13+29"

@Carl Love it would be more instructive for maple to report an error or display "undefined" rather than a definative answer like "false".


thanks for your interest.

But when i put in these values, unless i've cocked up, the tests for square and triangular number fail:

> d:=3515820*n;                             

          5.414603381 10^206543 
> B:= (1243419/585970)*d; D:= (367903/175791)*d; W:= (246821/83710)*d; Y:= (125739/106540)*d; b:= (815541/585970)*d;  w:= (17158/8371)*d; y:= (1813071/1171940)*d;

> B+D+W+Y+b+d+w+y;
                         7.760263432 10^206544 
> is(sqrt(W+B),integer);
> is(-3/2+(1/2)*sqrt(1+8*(D+Y)),integer);

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