Seongbeom Park
7abab70efb
Verifying solution... All test cases passed. Use submit solution.py to submit your solution
88 lines
6.0 KiB
Python
88 lines
6.0 KiB
Python
import numpy as np
|
|
|
|
def solution(g):
|
|
#print_grid(g)
|
|
grid = np.array(g)
|
|
#print grid
|
|
height, width = grid.shape
|
|
#print height, width
|
|
|
|
memo = {}
|
|
prev_cases = {i:1 for i in range(2**(height+1))}
|
|
#for i in range(2**(height+1)):
|
|
# prev_cases[i] = 1
|
|
# memo[i] = {j:calculate_c_column(i, j, height) for j in range(2**(height+1))}
|
|
#print memo
|
|
|
|
#print prev_cases
|
|
for column in range(width):
|
|
cases = {}
|
|
c = list_to_int(grid[:,column])
|
|
#print grid[:,column], list_to_int(grid[:,column])
|
|
for i in prev_cases.keys():
|
|
if not i in memo:
|
|
memo[i] = {}
|
|
if not c in memo[i]:
|
|
memo[i][c] = [j for j in range(2**(height+1)) if calculate_c_column(i, j, height) == c]
|
|
for j in memo[i][c]:
|
|
if not j in cases:
|
|
cases[j] = 0
|
|
if i in prev_cases:
|
|
cases[j] += prev_cases[i]
|
|
#print cases
|
|
prev_cases = cases
|
|
return sum(prev_cases.values())
|
|
|
|
def print_grid(g):
|
|
for row in g:
|
|
line = ""
|
|
for elem in row:
|
|
if elem:
|
|
line+="O"
|
|
else:
|
|
line+="."
|
|
print line
|
|
|
|
def calculate_c_column(i, j, length):
|
|
mask = 2**length-1
|
|
multiple_ones = ((i&j)|((i&j)>>1)) & mask
|
|
odd_ones = ((i^j)^((i^j)>>1)) & mask
|
|
single_one = (~multiple_ones & odd_ones) & mask
|
|
#print ' '.join(('{:0'+str(length)+'b}').format(k) for k in [i, j]), ' '.join(('{:0'+str(length-1)+'b}').format(k) for k in [multiple_ones, odd_ones, single_one])
|
|
return single_one
|
|
|
|
#l=3
|
|
#memo = {}
|
|
#for i in range(2**(l-1)):
|
|
# memo[i] = 0
|
|
#for i in range(2**l):
|
|
# for j in range(2**l):
|
|
# t = calculate_c_column(i, j, l)
|
|
# memo[t] += 1
|
|
#print memo
|
|
#exit(0)
|
|
|
|
def list_to_int(l):
|
|
value = 0
|
|
for v in l:
|
|
value |= v
|
|
value <<= 1
|
|
return value >> 1
|
|
|
|
tests = [
|
|
([[True, True, False, True, False, True, False, True, True, False], [True, True, False, False, False, False, True, True, True, False], [True, True, False, False, False, False, False, False, False, True], [False, True, False, False, False, False, True, True, False, False]], 11567),
|
|
([[True, False, True], [False, True, False], [True, False, True]], 4),
|
|
([[True, False, True, False, False, True, True, True], [True, False, True, False, False, False, True, False], [True, True, True, False, False, False, True, False], [True, False, True, False, False, False, True, False], [True, False, True, False, False, True, True, True]] ,254),
|
|
([[True]], 4),
|
|
([[False]], 12),
|
|
([[True, True]], 6),
|
|
([[True, False]], 10),
|
|
([[False, True]], 10),
|
|
([[False, False]], 38),
|
|
#([[True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False], [False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False], [False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False], [False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False], [False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False], [False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False], [False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False], [False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False], [False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False]], 1),
|
|
]
|
|
|
|
for (i, o) in tests:
|
|
result = solution(i)
|
|
print(i, result == o, result, o)
|