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群组: 数学建模 群组: 数学趣味、游戏、IQ等 群组: 趣味数学 群组: 加油数模,加油美国赛。 群组: 南京邮电大学数模协会 |
Sudoku is played over a 9x9 grid, divided to 3x3 sub grids called "regions": ! }5 j* M( k0 a/ ~. T8 n G
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Region
% \. ` _0 x/ H a& F
: R C& G* c. @- C& B7 |# L: K: e( v7 N/ r
- Sudoku begins with some of the grid cells already filled with numbers:
+ J* e8 B; i f4 o. i
0 }$ ^7 j4 j$ t3 E8 a( F" ?( |# } ! W8 f% @& T7 j
* B" ^% O3 U9 r( d9 _9 ^0 q0 g% ^3 W
- The object of Sudoku is to fill the other empty cells with numbers between 1 and 9 (1 number only in each cell) according the following guidelines: & z2 k: ]) I! F/ ?/ c
- c# a3 ?$ C: a2 ^( J1 l
1. Number can appear only once on each row:
4 V! X( T8 Q' n( \# z- \4 g3 {5 L9 ]3 ^: v. T. F
Allowed 4 }; Z6 b: }: i0 a* v! N
0 t5 G0 \* H2 d
Not allowed
* Z" z/ L5 j+ L2 K0 _2 H& _' J+ x+ k: ^) [0 V
2. Number can appear only once on each column:
: N4 H F) o/ Y* K, i8 X3 p* E' ^: D- n) G7 ^, i6 O( _) R3 k O
Allowed Not allowed
8 @$ l9 s. U5 H# K+ `7 b& ~& I! A& Y7 ] . ?4 t2 @( k' ?4 A# @9 }
3 P# A: i0 c4 f5 c" z; ]7 J; o0 `
3. Number can appear only once on each region: 9 F+ ], j+ R% I3 m
9 Q5 G+ F; A" O6 p( \, NAllowed Not allowed ) q( ~6 {* Z4 v
4 n% Z5 G6 o+ w9 w. f. z
4 n' i+ ^: J* `- A summary of these guidelines would be, that a number should appear only once on each row, column and a region. |
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