Add python solution for problem 96
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2
C/p096.c
2
C/p096.c
@ -118,7 +118,7 @@ int check(int grid[][9], int i, int j, int n)
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{
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for(w = 0; w < 3; w++)
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{
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if(ii + k != i && jj +w != j && grid[ii+k][jj+w] == n)
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if(ii + k != i && jj + w != j && grid[ii+k][jj+w] == n)
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{
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return 0;
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}
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202
Python/p096.py
Normal file
202
Python/p096.py
Normal file
@ -0,0 +1,202 @@
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# Su Doku (Japanese meaning number place) is the name given to a popular puzzle concept. Its origin is unclear,
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# but credit must be attributed to Leonhard Euler who invented a similar, and much more difficult, puzzle idea called Latin Squares.
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# The objective of Su Doku puzzles, however, is to replace the blanks (or zeros) in a 9 by 9 grid in such that each row, column,
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# and 3 by 3 box contains each of the digits 1 to 9. Below is an example of a typical starting puzzle grid and its solution grid.
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#
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# 0 0 3 0 2 0 6 0 0 4 8 3 9 2 1 6 5 7
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# 9 0 0 3 0 5 0 0 1 9 6 7 3 4 5 8 2 1
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# 0 0 1 8 0 6 4 0 0 2 5 1 8 7 6 4 9 3
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#
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# 0 0 8 1 0 2 9 0 0 5 4 8 1 3 2 9 7 6
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# 7 0 0 0 0 0 0 0 8 7 2 9 5 6 4 1 3 8
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# 0 0 6 7 0 8 2 0 0 1 3 6 7 9 8 2 4 5
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#
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# 0 0 2 6 0 9 5 0 0 3 7 2 6 8 9 5 1 4
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# 8 0 0 2 0 3 0 0 9 8 1 4 2 5 3 7 6 9
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# 0 0 5 0 1 0 3 0 0 6 9 5 4 1 7 3 8 2
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#
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# A well constructed Su Doku puzzle has a unique solution and can be solved by logic, although it may be necessary to employ
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# "guess and test" methods in order to eliminate options (there is much contested opinion over this). The complexity of the search
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# determines the difficulty of the puzzle; the example above is considered easy because it can be solved by straight forward direct deduction.
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#
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# The 6K text file, sudoku.txt, contains fifty different Su Doku puzzles ranging in difficulty, but all with unique solutions
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# (the first puzzle in the file is the example above).
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#
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# By solving all fifty puzzles find the sum of the 3-digit numbers found in the top left corner of each solution grid;
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# for example, 483 is the 3-digit number found in the top left corner of the solution grid above.
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import sys
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from itertools import islice
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from projecteuler import timing
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def check(sudoku, i, j, n):
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for k in range(9):
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if k != j and sudoku[i][k] == n:
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return False
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if k != i and sudoku[k][j] == n:
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return False
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ii = 3 * (i // 3)
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jj = 3 * (j // 3)
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for k in range(3):
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for w in range(3):
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if ii + k != i and jj + w != j and sudoku[ii+k][jj+w] == n:
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return False
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return True
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def solve_recursive(sudoku, step):
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if step == 81:
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return True
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i = step // 9
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j = step % 9
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if sudoku[i][j] != 0:
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if solve_recursive(sudoku, step + 1):
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return True
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else:
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for k in range(1, 10):
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sudoku[i][j] = k
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if check(sudoku, i, j, k):
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if solve_recursive(sudoku, step + 1):
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return True
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sudoku[i][j] = 0
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sudoku[i][j] = 0
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return False
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def line_complete(sudoku, i):
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for n in range(9):
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if sudoku[i][n] == 0:
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return False
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return True
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def column_complete(sudoku, j):
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for n in range(9):
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if sudoku[n][j] == 0:
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return False
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return True
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def solve_sudoku(sudoku):
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for w in range(4):
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for i in range(9):
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for j in range(9):
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if sudoku[i][j] == 0:
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count = 0
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for k in range(1, 10):
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if count >= 2:
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break
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sudoku[i][j] = k
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if check(sudoku, i, j, k):
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count += 1
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val = k
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if count == 1:
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sudoku[i][j] = val
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else:
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sudoku[i][j] = 0
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for i in range(9):
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for k in range(1, 10):
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if line_complete(sudoku, i):
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break
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count = 0
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for j in range(9):
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if count >= 2:
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break
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if sudoku[i][j] == 0:
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sudoku[i][j] = k
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if check(sudoku, i, j, k):
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count += 1
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val = j
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sudoku[i][j] = 0
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if count == 1:
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sudoku[i][val] = k
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for j in range(9):
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for k in range(1, 10):
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if column_complete(sudoku, j):
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break
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count = 0
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for i in range(9):
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if count >= 2:
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break
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if sudoku[i][j] == 0:
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sudoku[i][j] = k
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if check(sudoku, i, j, k):
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count += 1
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val = i
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sudoku[i][j] = 0
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if count == 1:
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sudoku[val][j] = k
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return solve_recursive(sudoku, 0)
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@timing
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def p096():
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try:
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with open('p096_sudoku.txt', 'r', encoding='utf-8') as fp:
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sudokus = fp.readlines()
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except FileNotFoundError:
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print('Error while opening file p096_sudoku.txt')
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sys.exit(1)
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sum_ = 0
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start = 0
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stop = 10
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while stop <= len(sudokus):
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sudoku = islice(sudokus, start, stop)
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sudoku = [line.strip() for line in list(sudoku)[1:]]
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sudoku = [list(line) for line in sudoku]
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for i, _ in enumerate(sudoku):
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sudoku[i] = [int(n) for n in sudoku[i]]
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if not solve_sudoku(sudoku):
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print('Bad sudoku grid')
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sys.exit(1)
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partial = int(sudoku[0][0]) * 100 + int(sudoku[0][1]) * 10 + int(sudoku[0][2])
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sum_ += partial
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start += 10
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stop += 10
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print('Project Euler, Problem 96')
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print(f'Answer: {sum_}')
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if __name__ == '__main__':
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p096()
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500
Python/p096_sudoku.txt
Normal file
500
Python/p096_sudoku.txt
Normal file
@ -0,0 +1,500 @@
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006905100
|
||||
017000620
|
||||
460000038
|
||||
000090000
|
||||
Grid 40
|
||||
000602000
|
||||
400050001
|
||||
085010620
|
||||
038206710
|
||||
000000000
|
||||
019407350
|
||||
026040530
|
||||
900020007
|
||||
000809000
|
||||
Grid 41
|
||||
000900002
|
||||
050123400
|
||||
030000160
|
||||
908000000
|
||||
070000090
|
||||
000000205
|
||||
091000050
|
||||
007439020
|
||||
400007000
|
||||
Grid 42
|
||||
380000000
|
||||
000400785
|
||||
009020300
|
||||
060090000
|
||||
800302009
|
||||
000040070
|
||||
001070500
|
||||
495006000
|
||||
000000092
|
||||
Grid 43
|
||||
000158000
|
||||
002060800
|
||||
030000040
|
||||
027030510
|
||||
000000000
|
||||
046080790
|
||||
050000080
|
||||
004070100
|
||||
000325000
|
||||
Grid 44
|
||||
010500200
|
||||
900001000
|
||||
002008030
|
||||
500030007
|
||||
008000500
|
||||
600080004
|
||||
040100700
|
||||
000700006
|
||||
003004050
|
||||
Grid 45
|
||||
080000040
|
||||
000469000
|
||||
400000007
|
||||
005904600
|
||||
070608030
|
||||
008502100
|
||||
900000005
|
||||
000781000
|
||||
060000010
|
||||
Grid 46
|
||||
904200007
|
||||
010000000
|
||||
000706500
|
||||
000800090
|
||||
020904060
|
||||
040002000
|
||||
001607000
|
||||
000000030
|
||||
300005702
|
||||
Grid 47
|
||||
000700800
|
||||
006000031
|
||||
040002000
|
||||
024070000
|
||||
010030080
|
||||
000060290
|
||||
000800070
|
||||
860000500
|
||||
002006000
|
||||
Grid 48
|
||||
001007090
|
||||
590080001
|
||||
030000080
|
||||
000005800
|
||||
050060020
|
||||
004100000
|
||||
080000030
|
||||
100020079
|
||||
020700400
|
||||
Grid 49
|
||||
000003017
|
||||
015009008
|
||||
060000000
|
||||
100007000
|
||||
009000200
|
||||
000500004
|
||||
000000020
|
||||
500600340
|
||||
340200000
|
||||
Grid 50
|
||||
300200000
|
||||
000107000
|
||||
706030500
|
||||
070009080
|
||||
900020004
|
||||
010800050
|
||||
009040301
|
||||
000702000
|
||||
000008006
|
||||
@ -3,5 +3,5 @@ These are my solutions in C and Python, not necessarily the best solutions. I've
|
||||
|
||||
# Notes
|
||||
- Solutions for problems 82, 86, 95, and 145 in Python are quite slow.
|
||||
- Solutions for problems 84, 89, 96, 97. 99, 102, 112, 124 and 357 have been implemented in C but not in Python.
|
||||
- Solutions for problems 84, 89, 97. 99, 102, 112, 124 and 357 have been implemented in C but not in Python.
|
||||
- Solutions for problems 88, 90 and 91 have been implemented in Python but not in C.
|
||||
|
||||
Loading…
x
Reference in New Issue
Block a user