def main():
f = open_data_file("pb83matrix.txt")
matrix = [ [int(x) for x in line.split(",")] for line in f ]
size = len(matrix)
distances = [ [float("inf")]*size for i in range(size) ]
heap = []
heappush(heap, (matrix[0][0], 0, 0)) # distance, row, col
# Dijkstra's algorithm, simplified
while heap:
distance, row, col = heappop(heap)
neighbors = []
if row > 0:
neighbors.append((distance+matrix[row-1][col], row-1, col)), # up
if col < size-1:
neighbors.append((distance+matrix[row][col+1], row, col+1)), # right
if row < size-1:
neighbors.append((distance+matrix[row+1][col], row+1, col)), # down
if col > 0:
neighbors.append((distance+matrix[row][col-1], row, col-1)), # left
for node in neighbors:
if node[0] < distances[node[1]][node[2]]:
heappush(heap, node)
distances[node[1]][node[2]] = node[0]
if row == col == size-1:
return distance
def main():
triangle_numbers = [triangle(n) for n in range(1, 100)]
words = [word.strip('"') for word in open_data_file(os.path.join(os.path.dirname(__file__), 'words.txt')).read().split(',')]
total = 0
for word in words:
if word_value(word) in triangle_numbers:
total += 1
print total
def main():
cipher = [int(c) for c in open_data_file('pb59cipher.txt').read().strip().split(',')]
candidates = ascii_lowercase
passwords = product(candidates, candidates, candidates)
for p in passwords:
password = [ord(c) for c in p]
plaintext = ''.join(list(decipher(cipher, password)))
if is_english(plaintext):
print sum(ord(c) for c in plaintext)
return
def main():
triangle_numbers = [triangle(n) for n in range(1, 100)]
words = [
word.strip('"') for word in open_data_file(
os.path.join(os.path.dirname(__file__), 'words.txt')).read().split(
',')
]
total = 0
for word in words:
if word_value(word) in triangle_numbers:
total += 1
print total
def answer():
with open_data_file('pb98words.txt') as f:
pair = {}
tmp = {}
words = f.read().replace('\"', '').split(',')
for w in words:
t = tuple(sorted(set(w)))
if t in tmp:
tmp[t] += [w]
else:
tmp[t] = [w]
for i in tmp:
l = len(tmp[i])
if l > 1:
for j in range(l - 1):
for m in range(j + 1, l):
w1 = tmp[i][j]
w2 = tmp[i][m]
if sorted(w1) == sorted(w2):
pair[w1, w2] = len(w1)
pair = sorted(pair.items(), lambda x, y: cmp(y[1], x[1]))
for (w1, w2), l in pair:
m = 0
s = set(w1)
k = len(s)
for i in itertools.combinations('9876543210', k):
for j in itertools.permutations(i, k):
w4 = w1
for p in range(k):
w4 = w4.replace(list(s)[p], j[p])
if w4[0] != '0':
n1 = int(''.join(w4))
if check(n1):
w3 = w2
for p in range(k):
w3 = w3.replace(list(s)[p], j[p])
if w3[0] != '0':
n2 = int(''.join(w3))
if check(n2):
print n1, n2, w1, w2
return
def answer():
with open_data_file('pb98words.txt') as f:
pair={}
tmp={}
words=f.read().replace('\"','').split(',')
for w in words:
t=tuple(sorted(set(w)))
if t in tmp:
tmp[t]+=[w]
else: tmp[t]=[w]
for i in tmp:
l=len(tmp[i])
if l>1:
for j in range(l-1):
for m in range(j+1,l):
w1=tmp[i][j]
w2=tmp[i][m]
if sorted(w1)==sorted(w2):
pair[w1,w2]=len(w1)
pair=sorted(pair.items(),lambda x,y:cmp(y[1],x[1]))
for (w1,w2),l in pair:
m=0
s=set(w1)
k=len(s)
for i in itertools.combinations('9876543210',k):
for j in itertools.permutations(i,k):
w4=w1
for p in range(k):
w4=w4.replace(list(s)[p],j[p])
if w4[0]!='0':
n1=int(''.join(w4))
if check(n1):
w3=w2
for p in range(k):
w3=w3.replace(list(s)[p],j[p])
if w3[0]!='0':
n2=int(''.join(w3))
if check(n2):
print n1,n2,w1,w2
return
def main():
f = open_data_file("pb82matrix.txt")
matrix = [[int(x) for x in line.split(",")] for line in f]
size = len(matrix)
best = [row[0] for row in matrix] # first column
for col in range(1, size):
column = [matrix[row][col] + best[row] for row in range(size)]
for row in range(1, size):
if column[row - 1] + matrix[row][col] < column[row]:
column[row] = column[row - 1] + matrix[row][col]
for row in range(size - 2, -1, -1):
if column[row + 1] + matrix[row][col] < column[row]:
column[row] = column[row + 1] + matrix[row][col]
best = column
return min(best)
def main():
f = open_data_file("pb82matrix.txt")
matrix = [ [int(x) for x in line.split(",")] for line in f ]
size = len(matrix)
best = [row[0] for row in matrix] # first column
for col in range(1, size):
column = [ matrix[row][col] + best[row] for row in range(size) ]
for row in range(1, size):
if column[row-1] + matrix[row][col] < column[row]:
column[row] = column[row-1] + matrix[row][col]
for row in range(size-2, -1, -1):
if column[row+1] + matrix[row][col] < column[row]:
column[row] = column[row+1] + matrix[row][col]
best = column
return min(best)
def main():
"""Main Program"""
player1 = 0
f = open_data_file('poker.txt')
for line in f:
x = line.split(' ')
y = ''.join(x)
player_one = y[0:10]
player_two = y[10:20]
j = examine_cards(player_one)
t = examine_cards(player_two)
if j == t:
print "player_one = ", player_one
print "player_two = ", player_two
print "EQUAL"
elif j < t:
continue
elif j > t:
player1 += 1
else:
pass
f.close()
print "Answer = ", player1
def main():
"""Main Program"""
player1 = 0
f = open_data_file('poker.txt')
for line in f:
x = line.split(' ')
y = ''.join(x)
player_one = y[0:10]
player_two = y[10:20]
j = examine_cards(player_one)
t = examine_cards(player_two)
if j == t:
print "player_one = ", player_one
print "player_two = ", player_two
print "EQUAL"
elif j < t:
continue
elif j > t:
player1 += 1
else:
pass
f.close()
print "Answer = ", player1
def main():
f = open_data_file("pb83matrix.txt")
matrix = [[int(x) for x in line.split(",")] for line in f]
size = len(matrix)
distances = [[float("inf")] * size for i in range(size)]
heap = []
heappush(heap, (matrix[0][0], 0, 0)) # distance, row, col
# Dijkstra's algorithm, simplified
while heap:
distance, row, col = heappop(heap)
neighbors = []
if row > 0:
neighbors.append(
(distance + matrix[row - 1][col], row - 1, col)), # up
if col < size - 1:
neighbors.append(
(distance + matrix[row][col + 1], row, col + 1)), # right
if row < size - 1:
neighbors.append(
(distance + matrix[row + 1][col], row + 1, col)), # down
if col > 0:
neighbors.append(
(distance + matrix[row][col - 1], row, col - 1)), # left
for node in neighbors:
if node[0] < distances[node[1]][node[2]]:
heappush(heap, node)
distances[node[1]][node[2]] = node[0]
if row == col == size - 1:
return distance
triangle.txt (right click and 'Save Link/Target As...'),
a 15K text file containing a triangle with one-hundred lines.
NOTE: This is a much more difficult version of Problem 18.
It is not possible to try every route to solve this problem,
as there are 299 altogether! If you could check one trillion
(1012) routes every second it would take over twenty billion
years to check them all. There is an efficient algorithm to
solve it. ;o)
"""
from projecteuler import open_data_file
sumlist = [0] * 200
f = open_data_file('triangle.txt')
for line in f:
i = 0
cells = line.split()
sumlist_prev = sumlist[:]
for cell in cells:
#first number
if i == 0:
sumlist[i] = sumlist_prev[i] + int(cell)
#last number
elif i == len(cells) - 1:
sumlist[i] = sumlist_prev[i - 1] + int(cell)
else:
sumlist[i] = max(sumlist_prev[i] + int(cell),
sumlist_prev[i - 1] + int(cell))
triangle.txt (right click and 'Save Link/Target As...'),
a 15K text file containing a triangle with one-hundred lines.
NOTE: This is a much more difficult version of Problem 18.
It is not possible to try every route to solve this problem,
as there are 299 altogether! If you could check one trillion
(1012) routes every second it would take over twenty billion
years to check them all. There is an efficient algorithm to
solve it. ;o)
"""
from projecteuler import open_data_file
sumlist = [0]*200
f = open_data_file('triangle.txt')
for line in f:
i = 0
cells = line.split()
sumlist_prev = sumlist[:]
for cell in cells:
#first number
if i == 0:
sumlist[i] = sumlist_prev[i] + int(cell)
#last number
elif i == len(cells)-1:
sumlist[i] = sumlist_prev[i-1] + int(cell)
else:
sumlist[i] = max(sumlist_prev[i] + int(cell), sumlist_prev[i-1] + int(cell))
i += 1
#!/usr/bin/env python
from projecteuler import open_data_file
import time
# define a recursive function to create partial sums by row
def recSumAtRow(rowData, rowNum):
# iterate over the given row
for i in range(len(rowData[rowNum])):
# add the largest of the values below-left or below-right
rowData[rowNum][i] += max([rowData[rowNum+1][i],rowData[rowNum+1][i+1]])
# base case
if len(rowData[rowNum])==1: return rowData[rowNum][0]
# recursive case
else: return recSumAtRow(rowData, rowNum-1)
# read in the data
rows = []
with open_data_file("problem-18-data") as f:
for line in f:
rows.append([int(i) for i in line.rstrip('\n').split(" ")])
start = time.time()
result = recSumAtRow(rows, len(rows)-2) # start at second to last row
elapsed = time.time() - start
print "%s found in %s seconds" % (result ,elapsed)
import time
# define a recursive function to create partial sums by row
def recSumAtRow(rowData, rowNum):
# iterate over the given row
for i in range(len(rowData[rowNum])):
# add the largest of the values below-left or below-right
rowData[rowNum][i] += max(
[rowData[rowNum + 1][i], rowData[rowNum + 1][i + 1]])
# base case
if len(rowData[rowNum]) == 1:
return rowData[rowNum][0]
# recursive case
else:
return recSumAtRow(rowData, rowNum - 1)
# read in the data
rows = []
with open_data_file("problem-18-data") as f:
for line in f:
rows.append([int(i) for i in line.rstrip('\n').split(" ")])
start = time.time()
result = recSumAtRow(rows, len(rows) - 2) # start at second to last row
elapsed = time.time() - start
print "%s found in %s seconds" % (result, elapsed)
from projecteuler import open_data_file
# This function takes a name / password and returns its text value
def name_score ( name ):
score = 0
#Lecture one by one letter from the word
for i in name :
#The ord function takes a character parameter and returns its ascii code ascii
#The of A being 65, we subtract 64 to ascii code
# a letter to get its position in the alphabet
score += ord ( i ) - 64
return score
file = open_data_file("022_names.txt")
#Lecture names the file and generate a list of names
names = list ( eval ( file . read ()))
file . close ()
names.sort()
result = 0
for i, name in enumerate(names):
result += name_score(name)*(i+1)
print ( result )
from projecteuler import open_data_file
# This function takes a name / password and returns its text value
def name_score(name):
score = 0
#Lecture one by one letter from the word
for i in name:
#The ord function takes a character parameter and returns its ascii code ascii
#The of A being 65, we subtract 64 to ascii code
# a letter to get its position in the alphabet
score += ord(i) - 64
return score
file = open_data_file("022_names.txt")
#Lecture names the file and generate a list of names
names = list(eval(file.read()))
file.close()
names.sort()
result = 0
for i, name in enumerate(names):
result += name_score(name) * (i + 1)
print(result)
#http://blog.singhanuvrat.com/problems/project-euler-greatest-exponent-value
'''
Created on Oct 23, 2012
@author: anuvrat
'''
from projecteuler import open_data_file
import numpy
max_digits = max_line = line_idx = 0
for line in ( line.rstrip( '\n' ) for line in open_data_file( 'pb99baseexp.txt' ) ):
base, exponent = map( int, line.split( ',' ) )
digits = exponent * numpy.log10( base )
if digits > max_digits :
max_digits = digits
max_line = line_idx
line_idx += 1
print max_line + 1
bold red and is equal to 2427.
131 673 234 103 18
201 96 342 965 150
630 803 746 422 111
537 699 497 121 956
805 732 524 37 331
Find the minimal path sum, in matrix.txt (right
click and 'Save Link/Target As...'), a 31K text
file containing a 80 by 80 matrix, from the top left
to the bottom right by only moving right and down.
"""
from projecteuler import open_data_file
f = open_data_file("pb82matrix.txt")
matrix = []
for line in f:
numbers = [int(n) for n in line.split(',')]
matrix.append(numbers)
num = len(matrix) - 1
for i in range(num+1):
for j in range(num+1):
if (i == 0 and j == 0): continue
if (j == 0): minx = matrix[i-1][j]
elif (i == 0): minx = matrix[i][j-1]
else: minx = min(matrix[i-1][j], matrix[i][j-1])
matrix[i][j] += minx
print matrix[num][num]
