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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": - L5 h0 y( n; i# u2 o
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& _1 }* d! O/ p0 ?9 M5 R# JRegion 9 ^& z5 [8 q4 N4 o" W) C
1 ?2 V! b2 U5 t7 v
: W9 T9 q$ l! U- Sudoku begins with some of the grid cells already filled with numbers:
! V5 ?" c2 ^/ G; E4 [! Z" n3 u Z. c" [2 ^8 [) L% @% ?
! \% u( o' X7 s" N, V0 Q! `
2 y' F7 [2 j3 H% s1 ]
- 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: ! H2 W3 `3 \3 k. C4 z2 D
6 ^' T6 }0 J# N7 t& |& z: Y7 x
1. Number can appear only once on each row: 2 q/ i$ n5 v0 t; w# |' b: r
3 d" T8 P8 T6 d% LAllowed
8 l; N0 M, ^7 f8 _0 J
{. E" H$ U0 X* y+ s8 ENot allowed . o" H3 [5 Q% W, v. i' ~* P
4 {: i: c. ]+ d" J' y4 j( j2 M
2. Number can appear only once on each column: " g0 C4 O8 {/ E3 `) o
+ _) X7 d+ {7 q8 J# }
Allowed Not allowed 7 F7 \* t) U% ~( `9 c- V2 M
) g7 U9 b8 q9 Q9 u" Z |
2 s3 m( a* k- O0 @3. Number can appear only once on each region:
$ C3 M! | S6 _- v8 Q* s" B* c
Allowed Not allowed
: ^4 ]& K& A2 ^6 \( l& x" T# h 6 Y; \% s) c7 `! k
. u7 H& n& S2 A" X" w/ b4 l/ @
- 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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