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committed 90e7047

Changed to unicode encoding from some windows one

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• Parent commits 0bda385

File probs.clj

` `
` ;; Euler published the remarkable quadratic formula:`
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`-;; n˛ + n + 41`
`+;; nÂ˛ + n + 41`
` `
` ;; It turns out that the formula will produce 40 primes for the`
` ;; consecutive values n = 0 to 39. However, when n = 40, 402 + 40 + 41`
` ;; = 40(40 + 1) + 41 is divisible by 41, and certainly when n = 41`
`-;; 41˛ + 41 + 41 is clearly divisible by 41.`
`-`
`-;; Using computers, the incredible formula n˛ - 79n + 1601 was discovered`
`+;; 41Â˛ + 41 + 41 is clearly divisible by 41.`
`+`
`+;; Using computers, the incredible formula nÂ˛ - 79n + 1601 was discovered`
` ;; which produces 80 primes for the consecutive values n = 0 to 79. The`
` ;; product of the coefficients, -79 and 1601, is -126479.`
` `
` ;; Considering quadratics of the form:`
` `
`-;; n˛ + an + b, where |a|  1000 and |b|  1000`
`+;; nÂ˛ + an + b, where |a|  1000 and |b|  1000`
` `
` ;; where |n| is the modulus/absolute value of n`
` ;; e.g. |11| = 11 and |-4| = 4`
` ;}}}`
` ;{{{ problem 31 -- currency`
` `
`-;; In England the currency is made up of pound, Ł, and pence, p, and`
`+;; In England the currency is made up of pound, ÂŁ, and pence, p, and`
` ;; there are eight coins in general circulation:`
` `
`-;; 1p, 2p, 5p, 10p, 20p, 50p, Ł1 (100p) and Ł2 (200p).`
`+;; 1p, 2p, 5p, 10p, 20p, 50p, ÂŁ1 (100p) and ÂŁ2 (200p).`
` `
` (def denominations '(200 100 50 20 10 5 2 1))`
` `
`-;; It is possible to make Ł2 in the following way:`
`-`
`-;; 1Ł1 + 150p + 220p + 15p + 12p + 31p`
`-;; How many different ways can Ł2 be made using any number of coins?`
`+;; It is possible to make ÂŁ2 in the following way:`
`+`
`+;; 1ÂŁ1 + 150p + 220p + 15p + 12p + 31p`
`+;; How many different ways can ÂŁ2 be made using any number of coins?`
` `
` (defn coins [value denominations]`
` ;;   (println value denominations (range (inc (/ value (first denominations)))))`
` ;{{{ problem 42 -- triangle words`
` `
` ;; The nth term of the sequence of triangle numbers is given by, tn =`
`-;; ˝n(n+1); so the first ten triangle numbers are:`
`+;; Â˝n(n+1); so the first ten triangle numbers are:`
` `
` ;; 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, ...`
` `
` `
` ;; The first three consecutive numbers to have three distinct prime factors are:`
` `
`-;; 644 = 2˛  7  23`
`+;; 644 = 2Â˛  7  23`
` ;; 645 = 3  5  43`
` ;; 646 = 2  17  19.`
` `