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Problems 9 - 11

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Linus Miller 2018-03-27 16:19:49 +02:00
parent 5f2f055f7c
commit f32701fa2d
3 changed files with 123 additions and 0 deletions
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24
0009.py Normal file
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import math
for a in range(1, 333):
modulos = (1000**2 - 2000 * a) % (2000 - 2 * a)
# b = (1000^2 - 2000 * a) / (2000 - 2 * a)
if (modulos == 0):
b = (1000**2 - 2000 * a) / (2000 - 2 * a)
c = math.sqrt(a**2 + b**2)
print(a, b, c)
print(a * b * c)
break
# for b in range(333):
# c = math.sqrt(a**2 + b**2)
# if (a + b + c > 1000):
# break
# if (a + b + c == 1000):
# print('FOUND!')
# print(a, b, c)

14
0010.py Normal file
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from functools import reduce
primes = []
i = 2
for i in range(2, 2000000):
half = i / 2
if all(p > half or i % p != 0 for p in primes):
primes.append(i)
result = reduce(lambda x, y: x + y, primes)
print(primes)
print(result)

85
0011.py Normal file
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from functools import reduce
matrix = [
[ 8, 2, 22, 97, 38, 15, 0, 40, 0, 75, 4, 5, 7, 78, 52, 12, 50, 77, 91, 8 ],
[ 49, 49, 99, 40, 17, 81, 18, 57, 60, 87, 17, 40, 98, 43, 69, 48, 4, 56, 62, 0 ],
[ 81, 49, 31, 73, 55, 79, 14, 29, 93, 71, 40, 67, 53, 88, 30, 3, 49, 13, 36, 65 ],
[ 52, 70, 95, 23, 4, 60, 11, 42, 69, 24, 68, 56, 1, 32, 56, 71, 37, 2, 36, 91 ],
[ 22, 31, 16, 71, 51, 67, 63, 89, 41, 92, 36, 54, 22, 40, 40, 28, 66, 33, 13, 80 ],
[ 24, 47, 32, 60, 99, 3, 45, 2, 44, 75, 33, 53, 78, 36, 84, 20, 35, 17, 12, 50 ],
[ 32, 98, 81, 28, 64, 23, 67, 10, 26, 38, 40, 67, 59, 54, 70, 66, 18, 38, 64, 70 ],
[ 67, 26, 20, 68, 2, 62, 12, 20, 95, 63, 94, 39, 63, 8, 40, 91, 66, 49, 94, 21 ],
[ 24, 55, 58, 5, 66, 73, 99, 26, 97, 17, 78, 78, 96, 83, 14, 88, 34, 89, 63, 72 ],
[ 21, 36, 23, 9, 75, 0, 76, 44, 20, 45, 35, 14, 0, 61, 33, 97, 34, 31, 33, 95 ],
[ 78, 17, 53, 28, 22, 75, 31, 67, 15, 94, 3, 80, 4, 62, 16, 14, 9, 53, 56, 92 ],
[ 16, 39, 5, 42, 96, 35, 31, 47, 55, 58, 88, 24, 0, 17, 54, 24, 36, 29, 85, 57 ],
[ 86, 56, 0, 48, 35, 71, 89, 7, 5, 44, 44, 37, 44, 60, 21, 58, 51, 54, 17, 58 ],
[ 19, 80, 81, 68, 5, 94, 47, 69, 28, 73, 92, 13, 86, 52, 17, 77, 4, 89, 55, 40 ],
[ 4, 52, 8, 83, 97, 35, 99, 16, 7, 97, 57, 32, 16, 26, 26, 79, 33, 27, 98, 66 ],
[ 88, 36, 68, 87, 57, 62, 20, 72, 3, 46, 33, 67, 46, 55, 12, 32, 63, 93, 53, 69 ],
[ 4, 42, 16, 73, 38, 25, 39, 11, 24, 94, 72, 18, 8, 46, 29, 32, 40, 62, 76, 36 ],
[ 20, 69, 36, 41, 72, 30, 23, 88, 34, 62, 99, 69, 82, 67, 59, 85, 74, 4, 36, 16 ],
[ 20, 73, 35, 29, 78, 31, 90, 1, 74, 31, 49, 71, 48, 86, 81, 16, 23, 57, 5, 54 ],
[ 1, 70, 54, 71, 83, 51, 54, 69, 16, 92, 33, 48, 61, 43, 52, 1, 89, 19, 67, 48 ],
]
largest = 0
last_x = 0
last_y = 0
def product(x,y):
return x * y
for y in range(0, 20):
for x in range(0, 20):
print(x, y)
if (x + 4 <= 20):
nums = matrix[y][x:x+4]
result = reduce(product, nums)
print(nums)
print(result)
if (result > largest):
last_x = x
last_y = y
largest = result
if (y + 4 <= 20):
nums = [row[x] for row in matrix[y:y+4]]
result = reduce(product, nums)
print(nums)
print(result)
if (result > largest):
last_x = x
last_y = y
largest = result
if (x + 4 <= 20 and y + 4 <= 20):
nums = [row[x + i] for i, row in enumerate(matrix[y:y+4])]
result = reduce(product, nums)
print(nums)
print(result)
if (result > largest):
last_x = x
last_y = y
largest = result
if (x >= 4 and y + 4 <= 20):
nums = [row[x - i] for i, row in enumerate(matrix[y:y+4])]
result = reduce(product, nums)
print(nums)
print(result)
if (result > largest):
last_x = x
last_y = y
largest = result
print(last_x, last_y, largest)