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sudoku.py
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from manimlib.imports import *
from time import time
from logo import LogoMixin
from collections import defaultdict as ddict
from collections import deque
from itertools import product
from random import shuffle, randint, seed
from collections import defaultdict
class RawSudoku(list):
def __init__(self, fill=False):
if fill:
data = [
[".", ".", "3", "8", ".", ".", "4", ".", "."],
[".", ".", ".", ".", "1", ".", ".", "7", "."],
[".", "6", ".", ".", ".", "5", ".", ".", "9"],
[".", ".", ".", "9", ".", ".", "6", ".", "."],
[".", "2", ".", ".", ".", ".", ".", "1", "."],
[".", ".", "4", ".", ".", "3", ".", ".", "2"],
[".", ".", "2", ".", ".", ".", "8", ".", "."],
[".", "1", ".", ".", ".", ".", ".", "5", "."],
["9", ".", ".", ".", ".", "7", ".", ".", "3"],
]
self.extend(data)
else:
self.extend([["0"] * 9 for _ in range(9)])
class MyMatrix(Matrix):
def set_number(self, i, j, v, run_time=1):
self.mob_matrix[i][j]
digobj = TexMobject(v)
digobj.move_to(self.mob_matrix[i][j])
trans = Transform(self.mob_matrix[i][j], digobj)
# self.play(trans, run_time=run_time)
return trans
class SudokuScene(Scene, LogoMixin):
def create_grid(self, m):
squares, rows, cols = [], [], []
m_cols = m.get_columns()
for i in range(9):
row = SurroundingRectangle(VGroup(*m.mob_matrix[i]), color=WHITE)
col = SurroundingRectangle(m_cols[i], color=WHITE)
rows.append(row)
cols.append(col)
for r, c in product(range(3), repeat=2):
square = Square()
square.move_to((LEFT, ORIGIN, RIGHT)[c] * 2 + (UP, ORIGIN, DOWN)[r] * 2)
squares.append(square)
grid_obj = VGroup(*squares)
grid_obj.scale(1.2)
return squares, rows, cols, grid_obj
def animate_rows(self, rows, hide=True):
self.play(LaggedStart(*[FadeIn(rows[i]) for i in range(9)]), run_time=2)
if hide:
self.play(LaggedStart(*[FadeOut(rows[i]) for i in range(9)]), run_time=2)
def animate_columns(self, cols, hide=True):
self.animate_rows(cols, hide)
def animate_squares(self, squares, hide=True):
self.animate_rows(squares, hide)
def play_grid_creation(self, squares, rows, cols):
self.animate_rows(rows)
self.animate_columns(cols)
self.animate_squares(squares)
def construct(self):
self.config = {
"add_background_rectangles_to_entries": False,
"include_background_rectangle": False,
"bracket_h_buff": SMALL_BUFF,
"bracket_v_buff": SMALL_BUFF,
"element_alignment_corner": ORIGIN,
"v_buff": 0.8,
"h_buff": 0.8,
}
LogoMixin.construct(self)
class SudokuCreationScene(SudokuScene):
def construct(self):
SudokuScene.construct(self)
A = RawSudoku()
m = Matrix(A, **self.config)
m.brackets.scale(0)
self.play(Write(m))
squares, rows, cols, grid_obj = self.create_grid(m)
self.play_grid_creation(squares, rows, cols)
self.play(FadeIn(grid_obj))
self.wait(3)
class SudokuColumns(SudokuScene):
def construct(self):
SudokuScene.construct(self)
A = RawSudoku()
m = MyMatrix(A, **self.config)
m.brackets.scale(0)
self.add(m)
squares, rows, cols, grid_obj = self.create_grid(m)
self.animate_columns(cols, hide=False)
self.wait()
self.play(
*(
[FadeOut(c) for c in cols[1:]]
+ [
FadeOut(VGroup(*m.mob_matrix[:, i]))
for i in range(1, m.mob_matrix.shape[1])
]
)
)
self.play(*[m.set_number(i, 0, ".") for i in range(9)])
text = TexMobject("Candidate: ")
self.play(Write(text))
v_array = [*range(1, 10)]
p_array = [*range(9)]
vals = ["."] * 9
shuffle(v_array)
shuffle(p_array)
for i in range(3):
vals[p_array[i]] = str(v_array[i])
self.play(*[m.set_number(p_array[i], 0, v_array[i]) for i in range(3)])
val = 1
pos = 0
while True:
if pos == 9 or val == 9:
break
if vals[pos] != ".":
pos += 1
continue
num = TexMobject(val, color=WHITE)
num.next_to(text, RIGHT)
self.play(Write(num))
if str(val) in vals:
self.play(
ApplyMethod(num.set_color, RED),
ApplyMethod(m.mob_matrix[pos][0].set_color, RED),
)
self.play(
FadeOut(num), ApplyMethod(m.mob_matrix[pos][0].set_color, WHITE)
)
val += 1
continue
else:
self.play(
ApplyMethod(num.move_to, m.mob_matrix[pos][0]),
FadeOut(m.mob_matrix[pos][0]),
)
vals[pos] = str(val)
val += 1
pos += 1
self.wait(3)
class SudokuRows(SudokuScene):
def construct(self):
SudokuScene.construct(self)
A = RawSudoku()
m = MyMatrix(A, **self.config)
m.brackets.scale(0)
self.add(m)
squares, rows, cols, grid_obj = self.create_grid(m)
self.animate_rows(rows, hide=False)
self.play(
*(
[FadeOut(r) for r in rows[1:]]
+ [FadeOut(VGroup(*m.mob_matrix[i])) for i in range(1, 9)]
)
)
self.play(*[m.set_number(0, i, ".") for i in range(9)])
text = TexMobject("Candidate: ")
self.play(Write(text))
v_array = [*range(1, 10)]
p_array = [*range(9)]
vals = ["."] * 9
shuffle(v_array)
shuffle(p_array)
for i in range(3):
vals[p_array[i]] = str(v_array[i])
self.play(*[m.set_number(0, p_array[i], v_array[i]) for i in range(3)])
val = 1
pos = 0
while True:
if pos == 9 or val == 10:
break
if vals[pos] != ".":
pos += 1
continue
num = TexMobject(val, color=WHITE)
num.next_to(text, RIGHT)
self.play(Write(num))
if str(val) in vals:
self.play(
ApplyMethod(num.set_color, RED),
ApplyMethod(m.mob_matrix[0][pos].set_color, RED),
)
self.play(
FadeOut(num), ApplyMethod(m.mob_matrix[0][pos].set_color, WHITE)
)
val += 1
continue
else:
self.play(
ApplyMethod(num.move_to, m.mob_matrix[0][pos]),
FadeOut(m.mob_matrix[0][pos]),
)
vals[pos] = str(val)
val += 1
pos += 1
self.wait(3)
class SudokuSquares(SudokuScene):
def construct(self):
SudokuScene.construct(self)
A = RawSudoku()
m = MyMatrix(A, **self.config)
m.brackets.scale(0)
self.add(m)
squares, rows, cols, grid_obj = self.create_grid(m)
self.animate_squares(squares, hide=False)
self.wait()
self.play(
*(
[FadeOut(squares[i]) for i in range(1, 9)]
+ [
FadeOut(VGroup(*m.mob_matrix[:, i]))
for i in range(3, m.mob_matrix.shape[1])
]
+ [FadeOut(VGroup(*m.mob_matrix[i][:3])) for i in range(3, 9)]
)
)
self.play(*[m.set_number(i, j, ".") for i in range(3) for j in range(3)])
text = TexMobject("Candidate: ")
self.play(Write(text))
v_array = [*range(1, 10)]
vert_array = [*range(3)]
hori_array = [*range(3)]
vals = defaultdict(lambda: ".")
val_pos = {}
shuffle(v_array)
shuffle(vert_array)
shuffle(hori_array)
print(vert_array, hori_array)
for i in range(3):
vals[(hori_array[i], vert_array[i])] = str(v_array[i])
val_pos[str(v_array[i])] = (hori_array[i], vert_array[i])
self.play(
*[m.set_number(hori_array[i], vert_array[i], v_array[i]) for i in range(3)]
)
val = 1
pos = 0
while True:
if pos == 9 or val == 10:
break
if vals[(pos // 3, pos % 3)] != ".":
pos += 1
continue
num = TexMobject(val, color=WHITE)
num.next_to(text, RIGHT)
self.play(Write(num))
if str(val) in vals.values():
x, y = val_pos[str(val)]
self.play(
ApplyMethod(num.set_color, RED),
ApplyMethod(m.mob_matrix[x][y].set_color, RED),
)
self.play(
FadeOut(num), ApplyMethod(m.mob_matrix[x][y].set_color, WHITE)
)
val += 1
continue
else:
self.play(
ApplyMethod(num.move_to, m.mob_matrix[pos // 3][pos % 3]),
FadeOut(m.mob_matrix[pos // 3][pos % 3]),
)
vals[(pos // 3, pos % 3)] = str(val)
print(vals)
print(vals.values())
val += 1
pos += 1
self.wait(3)
class SolveSudoku(SudokuScene):
def construct(self):
SudokuScene.construct(self)
A = RawSudoku(fill=False)
m = MyMatrix(A, **self.config)
m.to_edge(LEFT)
m.brackets.scale(0)
squares, rows, cols, grid_obj = self.create_grid(m)
A = RawSudoku(fill=True)
m = MyMatrix(A, **self.config)
m.brackets.scale(0)
self.play(Write(m), FadeIn(grid_obj))
self.iterations = 0
num_obj = TexMobject(0)
num_obj.move_to(DL)
square = Square()
square.scale(0.4)
square.to_edge(TOP)
self.play(Write(square))
max_iterations = 10
def solveSudoku(board):
rows, cols, triples = ddict(set), ddict(set), ddict(set)
for r, c in product(range(9), repeat=2):
if board[r][c] != ".":
rows[r].add(board[r][c])
cols[c].add(board[r][c])
triples[(r // 3, c // 3)].add(board[r][c])
def dfs(r, c, from_r, from_c):
if self.iterations > max_iterations:
return True
if r == 9:
return True
self.play(ApplyMethod(square.move_to, m.mob_matrix[r][c]))
if A[r][c] != ".":
return dfs((r, r + 1)[c == 8], (c + 1, 0)[c == 8], r, c)
t = (r // 3, c // 3)
for dig in ["1", "2", "3", "4", "5", "6", "7", "8", "9"]:
num = TexMobject(dig, color=WHITE)
num.move_to(m.mob_matrix[r][c])
self.play(Transform(m.mob_matrix[r][c], num))
row_collision = dig in rows[r]
if row_collision:
ind = board[r].index(dig)
self.play(m.mob_matrix[r][ind].set_color, RED)
self.play(m.mob_matrix[r][ind].set_color, WHITE)
col_collision = dig in cols[c]
if col_collision:
ind = [board[i][c] for i in range(9)].index(dig)
self.play(m.mob_matrix[ind][c].set_color, RED)
self.play(m.mob_matrix[ind][c].set_color, WHITE)
section_collision = dig in triples[t]
if not any([row_collision, col_collision, section_collision]):
self.play(FadeOut(num))
board[r][c] = dig
digobj = TexMobject(dig)
digobj.move_to(m.mob_matrix[r][c])
self.play(FadeOut(m.mob_matrix[r][c]), FadeIn(digobj))
m.mob_matrix[r][c] = digobj
self.iterations += 1
rows[r].add(dig)
cols[c].add(dig)
triples[t].add(dig)
if dfs((r, r + 1)[c == 8], (c + 1, 0)[c == 8], r, c):
return True
else:
if self.iterations > max_iterations:
return True
self.play(ApplyMethod(square.move_to, m.mob_matrix[r][c]))
board[r][c] = "."
digobj = TexMobject(".")
digobj.move_to(m.mob_matrix[r][c])
self.remove(m.mob_matrix[r][c])
self.add(digobj)
# self.play(FadeOut(m.mob_matrix[r][c]), FadeIn(digobj))
m.mob_matrix[r][c] = digobj
rows[r].discard(dig)
cols[c].discard(dig)
triples[t].discard(dig)
else:
digobj = TexMobject(".")
digobj.move_to(m.mob_matrix[r][c])
self.play(FadeOut(m.mob_matrix[r][c]), FadeIn(digobj))
m.mob_matrix[r][c] = digobj
return False
dfs(0, 0, 0, 0)
solveSudoku(A)
self.wait(3)
class SudokuLinearScan(SudokuScene):
def construct(self):
SudokuScene.construct(self)
A = RawSudoku(fill=False)
m = MyMatrix(A, **self.config)
m.to_edge(LEFT)
m.brackets.scale(0)
squares, rows, cols, grid_obj = self.create_grid(m)
A = RawSudoku(fill=True)
m = MyMatrix(A, **self.config)
m.brackets.scale(0)
self.play(Write(m), FadeIn(grid_obj))
square = Square()
square.scale(0.4)
square.to_edge(TOP)
self.play(Write(square))
for i in range(9):
for j in range(9):
self.play(square.move_to, m.mob_matrix[i][j], run_time=0.2)
self.wait(3)