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the-square-chest.py
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136 lines (108 loc) · 3.7 KB
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dimension = 4
def checkio(matrix):
ans = 0
for i in range(16):
for n in next_number(i + 1):
flag = True
xn, yn = get_coord(i + 1)
xk, yk = get_coord(n)
for side in matrix_sort(conversion(get_allside(xn, yn, xk, yk))):
if flag and not side in matrix_sort(matrix):
flag = False
if flag:
ans = ans + 1
return ans
def get_side(xn, yn, xk, yk):
if xn == xk:
return [[[xn, yn+i], [xk, yn+i+1]] for i in range(abs(yn-yk))]
if yn == yk:
return [[[xn+i, yn], [xn+i+1, yk]] for i in range(abs(xn-xk))]
return None
def conversion(list_side):
return [[get_number(side[0]), get_number(side[1])] for side in list_side]
def matrix_sort(matrix):
return [[el[0], el[1]] if el[0]>el[1] else [el[1], el[0]] for el in matrix]
def get_allside(xn, yn, xk, yk):
return get_side(xn, yn, xk, yn) + \
get_side(xk, yn, xk, yk) + \
get_side(xn, yk, xk, yk) + \
get_side(xn, yn, xn, yk)
def next_number(number):
return {
1: [6, 11, 16],
2: [7, 12],
3: [8],
4: [],
5: [10, 15],
6: [11, 16],
7: [12],
8: [],
9: [14],
10: [15],
11: [16],
12: [],
13: [],
14: [],
15: [],
16: [],
}[number]
def get_coord(number):
number = number - 1
return (number // dimension, number % dimension)
def get_number(coord):
x, y = coord
return x * 4 + y + 1
def test_coord():
assert get_coord(1) == (0, 0), u"1 number"
assert get_coord(5) == (1, 0), u"5 number"
assert get_coord(15) == (3, 2), u"15 number"
assert get_coord(16) == (3, 3), u"16 number"
def test_number():
assert get_number((0, 0)) == 1, u"1 number"
assert get_number((1, 0)) == 5, u"5 number"
assert get_number((3, 2)) == 15, u"15 number"
assert get_number((3, 3)) == 16, u"16 number"
assert get_number(get_coord(10)) == 10, u"in 10"
def test_allside():
assert get_allside(0, 0, 1, 1) == [
[[0,0],[1,0]],
[[1,0],[1,1]],
[[0,1],[1,1]],
[[0,0],[0,1]]
], "00 11"
def test_side():
assert get_side(1, 1, 3, 1) == [
[[1,1],[2,1]],
[[2,1],[3,1]],
], u"2 line vert"
assert get_side(0, 2, 3, 2) == [
[[0,2],[1,2]],
[[1,2],[2,2]],
[[2,2],[3,2]],
], u"4 line vert"
assert get_side(2, 0, 2, 3) == [
[[2,0],[2,1]],
[[2,1],[2,2]],
[[2,2],[2,3]],
], u"4 line horizont"
assert get_side(0, 0, 2, 2) == None, u"None side"
def test_function():
assert (checkio([[1, 2], [3, 4], [1, 5], [2, 6], [4, 8], [5, 6], [6, 7],
[7, 8], [6, 10], [7, 11], [8, 12], [10, 11],
[10, 14], [12, 16], [14, 15], [15, 16]]) == 3), "First, from description"
assert (checkio([[1, 2], [2, 3], [3, 4], [1, 5], [4, 8],
[6, 7], [5, 9], [6, 10], [7, 11], [8, 12],
[9, 13], [10, 11], [12, 16], [13, 14], [14, 15], [15, 16]]) == 2), "Second, from description"
assert (checkio([[1, 2], [1, 5], [2, 6], [5, 6]]) == 1), "Third, one small square"
assert (checkio([[1, 2], [1, 5], [2, 6], [5, 9], [6, 10], [9, 10]]) == 0), "Fourth, it's not square"
assert (checkio([[16, 15], [16, 12], [15, 11], [11, 10],
[10, 14], [14, 13], [13, 9]]) == 0), "Fifth, snake"
assert (checkio([[16, 15], [16, 12], [15, 11],
[11, 12], [11, 10], [10, 14],
[9, 10], [14, 13], [13, 9], [15, 14]]) == 3), "Last"
if __name__ == '__main__':
test_coord()
test_number()
test_side()
test_allside()
test_function()