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Merge pull request #189 from anmol-tripathi83/master
Added Valid Sudoko problem #175
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Link to the problem statement: https://leetcode.com/problems/valid-sudoku/description/ | ||
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Problem Statement: Determine if a 9 x 9 Sudoku board is valid. Only the filled cells need to be validated according to the following rules: | ||
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Each row must contain the digits 1-9 without repetition. | ||
Each column must contain the digits 1-9 without repetition. | ||
Each of the nine 3 x 3 sub-boxes of the grid must contain the digits 1-9 without repetition. | ||
Note: | ||
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A Sudoku board (partially filled) could be valid but is not necessarily solvable. | ||
Only the filled cells need to be validated according to the mentioned rules. | ||
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Example 1: | ||
Input: board = | ||
[["5","3",".",".","7",".",".",".","."] | ||
,["6",".",".","1","9","5",".",".","."] | ||
,[".","9","8",".",".",".",".","6","."] | ||
,["8",".",".",".","6",".",".",".","3"] | ||
,["4",".",".","8",".","3",".",".","1"] | ||
,["7",".",".",".","2",".",".",".","6"] | ||
,[".","6",".",".",".",".","2","8","."] | ||
,[".",".",".","4","1","9",".",".","5"] | ||
,[".",".",".",".","8",".",".","7","9"]] | ||
Output: true | ||
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Example 2: | ||
Input: board = | ||
[["8","3",".",".","7",".",".",".","."] | ||
,["6",".",".","1","9","5",".",".","."] | ||
,[".","9","8",".",".",".",".","6","."] | ||
,["8",".",".",".","6",".",".",".","3"] | ||
,["4",".",".","8",".","3",".",".","1"] | ||
,["7",".",".",".","2",".",".",".","6"] | ||
,[".","6",".",".",".",".","2","8","."] | ||
,[".",".",".","4","1","9",".",".","5"] | ||
,[".",".",".",".","8",".",".","7","9"]] | ||
Output: false | ||
Explanation: Same as Example 1, except with the 5 in the top left corner being modified to 8. Since there are two 8's in the top left 3x3 sub-box, it is invalid. |
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// Collect the set of things we see, encoded as strings. For example: | ||
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// '4' in row 7 is encoded as "(4)7". | ||
// '4' in column 7 is encoded as "7(4)". | ||
// '4' in the top-right block is encoded as "0(4)2". | ||
// Scream false if we ever fail to add something because it was already added (i.e., seen before). | ||
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import java.util.*; | ||
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class solution{ | ||
public static void main(String[] args) { | ||
char[][] board = {{'5','3','.','.','7','.','.','.','.'} | ||
,{'6','.','.','1','9','5','.','.','.'} | ||
,{'.','9','8','.','.','.','.','6','.'} | ||
,{'8','.','.','.','6','.','.','.','.'} | ||
,{'4','.','.','8','.','3','.','.','1'} | ||
,{'7','.','.','.','2','.','.','.','6'} | ||
,{'.','6','.','.','.','.','2','8','.'} | ||
,{'.','.','.','4','1','9','.','.','5'} | ||
,{'.','.','.','.','8','.','.','7','9'}}; | ||
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System.out.println(isValidSudoko(board)); | ||
} | ||
public static boolean isValidSudoko(char[][] board) { | ||
Set seen = new HashSet(); | ||
for (int i=0; i<9; ++i) { | ||
for (int j=0; j<9; ++j) { | ||
if (board[i][j] != '.') { | ||
String b = "(" + board[i][j] + ")"; | ||
if (!seen.add(b + i) || !seen.add(j + b) || !seen.add(i/3 + b + j/3)); | ||
return false; | ||
} | ||
} | ||
} | ||
return true; | ||
} | ||
} |