Style improvement

This commit is contained in:
daniele 2024-02-20 19:46:29 +01:00
parent adca45e24f
commit 48503b8e27
Signed by: fuxino
GPG Key ID: 981A2B2A3BBF5514
16 changed files with 72 additions and 64 deletions

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@ -27,7 +27,7 @@ def p022():
sum_ = 0
i = 1
# Calculate the score of each name an multiply by its position.
# Calculate the score of each name an multiply by its position.
for name in names:
l = len(name)
score = 0

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@ -17,7 +17,8 @@
# where |n| is the modulus/absolute value of n
# e.g. |11|=11 and |4|=4
#
# Find the product of the coefficients, a and b, for the quadratic expression that produces the maximum number of primes for consecutive values of n, starting with n=0.
# Find the product of the coefficients, a and b, for the quadratic expression that produces the maximum number of primes for consecutive values of n,
# starting with n=0.
from projecteuler import is_prime, timing

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@ -1,10 +1,12 @@
#!/usr/bin/env python3
# A natural number, N, hat can be written as the sum and product of a given set of at least two natural numbers, {a1,a2,...,ak} is called a product sum number: N = a1 + a2 + ... + ak = a1 x a2 x ... ak.
# A natural number, N, hat can be written as the sum and product of a given set of at least two natural numbers, {a1,a2,...,ak} is called a product sum number:
# N = a1 + a2 + ... + ak = a1 x a2 x ... ak.
#
# For example, 6 = 1 + 2 + 3 = 1 x 2 x 3
#
# For a given set of size, k, we shall call the smallest N with this property a minimal product-sum number. The minimal product-sum numbers for sets of size, k = 2,3,4,5, and 6 are as follows.
# For a given set of size, k, we shall call the smallest N with this property a minimal product-sum number. The minimal product-sum numbers for sets of size,
# k = 2,3,4,5, and 6 are as follows.
#
# k = 2: 4 = 2 x 2 = 2 + 2
# k = 3: 6 = 1 x 2 x 3 = 1 + 2 + 3

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@ -1,22 +1,26 @@
#!/usr/bin/env python3
# Each of the six faces on a cube has a different digit (0 to 9) written on it; the same is done to a second cube. By placing the two cubes side-by-side in different positions we can form a variety of 2-digit numbers.
# Each of the six faces on a cube has a different digit (0 to 9) written on it; the same is done to a second cube. By placing the two cubes side-by-side
# in different positions we can form a variety of 2-digit numbers.
#
# For example, the square number 64 could be formed:
# |6||4|
#
# In fact, by carefully choosing the digits on both cubes it is possible to display all of the square numbers below one-hundred: 01, 04, 09, 16, 25, 36, 49, 64, and 81.
# In fact, by carefully choosing the digits on both cubes it is possible to display all of the square numbers below one-hundred:
# 01, 04, 09, 16, 25, 36, 49, 64, and 81.
#
# For example, one way this can be achieved is by placing {0,5,6,7,8,9} on one cube and {1,2,3,4,8,9} on the other cube.
#
# However, for this problem we shall allow the 6 or 9 to be turned upside-down so that an arrangement like {0,5,6,7,8,9} and {1,2,3,4,6,7} allows for all nine square numbers to be displayed; otherwise it would be impossible to obtain 09.
# However, for this problem we shall allow the 6 or 9 to be turned upside-down so that an arrangement like {0,5,6,7,8,9} and {1,2,3,4,6,7} allows
# for all nine square numbers to be displayed; otherwise it would be impossible to obtain 09.
#
# In determining a distinct arrangement we are interested in the digits on each cube, not the order.
#
# {1,2,3,4,5,6} is equivalent to {3,6,4,1,2,5}
# {1,2,3,4,5,6} is distinct from {1,2,3,4,5,9}
#
# But because we are allowing 6 and 9 to be reversed, the two distinct sets in the last example both represent the extended set {1,2,3,4,5,6,9} for the purpose of forming 2-digit numbers.
# But because we are allowing 6 and 9 to be reversed, the two distinct sets in the last example both represent the extended set {1,2,3,4,5,6,9}
# for the purpose of forming 2-digit numbers.
#
# How many distinct arrangements of the two cubes allow for all of the square numbers to be displayed?

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@ -2,7 +2,8 @@
# The points P(x1,y1) and Q(x2,y2) are plotted at integer co-ordinates and are joined to the origin, O(0,0), to form ΔOPQ.
#
# There are exactly fourteen triangles containing a right angle that can be formed when each co-ordinate lies between 0 and 2 inclusive; that is, 0<=x1,y1,x2,y2<=2.
# There are exactly fourteen triangles containing a right angle that can be formed when each co-ordinate lies between 0 and 2 inclusive;
# that is, 0<=x1,y1,x2,y2<=2.
#
# Given that 0<=x1,y1,x2,y2<=50, how many right triangles can be formed?

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@ -294,7 +294,7 @@ def is_semiprime(n, primes):
return False, -1, -1
# Check if n is semiprime and one of the factors is 3.
elif n % 3 == 0:
if n % 3 == 0:
if primes[n//3] == 1:
p = 3
q = n // 3