From 42c8b5f771693f165903ea19247df0b12a689bfe Mon Sep 17 00:00:00 2001 From: JellyWX Date: Wed, 21 Jun 2017 21:20:47 +0100 Subject: [PATCH] solutions 7 8 9 --- problem6.py | 12 ++++++++++++ problem7.py | 15 +++++++++++++++ problem8.py | 13 +++++++++++++ problem9.py | 15 +++++++++++++++ 4 files changed, 55 insertions(+) create mode 100644 problem6.py create mode 100644 problem7.py create mode 100644 problem8.py create mode 100644 problem9.py diff --git a/problem6.py b/problem6.py new file mode 100644 index 0000000..7a22f04 --- /dev/null +++ b/problem6.py @@ -0,0 +1,12 @@ +sum_sq = 0 +sq_sum = 0 + +for i in range(101): + sum_sq += i**2 + sq_sum += i + +sq_sum *= sq_sum + +diff = sq_sum - sum_sq + +print(diff) diff --git a/problem7.py b/problem7.py new file mode 100644 index 0000000..7d3acdd --- /dev/null +++ b/problem7.py @@ -0,0 +1,15 @@ +primes = [2,3,5,7,11,13] +num = 15 + +while len(primes) < 10001: + prime = True + for p in primes: + if num % p == 0: + prime = False + break + if prime: + primes.append(num) + + num += 2 + +print(primes) diff --git a/problem8.py b/problem8.py new file mode 100644 index 0000000..f8ebcb3 --- /dev/null +++ b/problem8.py @@ -0,0 +1,13 @@ +number = list('7316717653133062491922511967442657474235534919493496983520312774506326239578318016984801869478851843858615607891129494954595017379583319528532088055111254069874715852386305071569329096329522744304355766896648950445244523161731856403098711121722383113622298934233803081353362766142828064444866452387493035890729629049156044077239071381051585930796086670172427121883998797908792274921901699720888093776657273330010533678812202354218097512545405947522435258490771167055601360483958644670632441572215539753697817977846174064955149290862569321978468622482839722413756570560574902614079729686524145351004748216637048440319989000889524345065854122758866688116427171479924442928230863465674813919123162824586178664583591245665294765456828489128831426076900422421902267105562632111110937054421750694165896040807198403850962455444362981230987879927244284909188845801561660979191338754992005240636899125607176060588611646710940507754100225698315520005593572972571636269561882670428252483600823257530420752963450') +highest_value = 0 + + +for i in range(len(number) - 13): + product = 1 + for j in range(13): + product *= int(number[i+j]) + print(product) + if product > highest_value: + highest_value = product + +print(highest_value) diff --git a/problem9.py b/problem9.py new file mode 100644 index 0000000..127fd00 --- /dev/null +++ b/problem9.py @@ -0,0 +1,15 @@ +from math import sqrt + +def main(): + a = 1 + b = 1 + c = 1 + + for c in range(1000): + for b in range(c): + for a in range(b): + if a + b + c == 1000: + if sqrt(a**2 + b**2) == c: + print(str(a) + ' ' + str(b) + ' ' + str(c)) + print(a*b*c) + return