```2021-04-10: Project Euler #6 in FOCAL                        rak
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Project Euler problem 6 "Sum square difference"  asks you to
calculate the difference of the sum of squares of the first N=10
natural numbers and the square of the sum of the first N natural
numbers. That is, it asks you to compute the difference

D = SQUARESUM - SUMSQUARES

where

SQUARESUM  = (1 + 2 + ... + N)^2
SUMSQUARES = 1^2 + 2^2 + ... + N^2

I decided to implement it using C-FOCAL on a PiDP/8 running
TSS/8 . It uses the identities

1 + 2 + ... + N = N * (N + 1) / 2,
1^2 + 2^2 + ... + N^2 = N^3/3 + N^2/2 + N/6.

*WRITE ALL
C-FOCAL,1969

01.01 C PROJECT EULER SUM SQUARE DIFFERENCE PROBLEM 6
01.02 C COPYRIGHT 2021 RYAN KAVANAGH RAK AT RAK.AC
01.03 C GIVEN N OUTPUT (SUM(X=1..N) X)^2 - (SUM(X=1..N) X^2)
01.05 SET SQUARESUM=<N*(N+1)/2>^2
01.06 SET SUMSQUARES=N^3/3 + N^2/2 + N/6
01.07 TYPE "(SUM(X=1..N) X)^2 IS ", SQUARESUM, !
01.08 TYPE "SUM(X=1..N) X^2 IS ", SUMSQUARES, !
01.09 TYPE "DIFFERENCE ", SQUARESUM - SUMSQUARES, !
*GOTO 01.01
ENTER N:10
(SUM(X=1..N) X)^2 IS = 3025.0000
SUM(X=1..N) X^2 IS =  385.0000
DIFFERENCE = 2640.0000
*GOTO 01.01
ENTER N:100
(SUM(X=1..N) X)^2 IS = 25502500
SUM(X=1..N) X^2 IS = 338350.00
DIFFERENCE = 25164200

 https://projecteuler.net/problem=6
 https://tss8.sdf.org/
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