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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": 7 b6 V6 F, L7 f. r, }
1 }: U& R3 l9 E7 |1 Q" |
2 x& \4 e- R6 n$ K% o6 aRegion
* ~4 f' L7 j; c( j; F
* G/ l, r: z/ j1 d( }+ i9 K4 d q+ M3 e) }
- Sudoku begins with some of the grid cells already filled with numbers: . v9 l- }: l+ h' R- h% g
' r1 ?$ g# U/ C# K P
/ M3 N( b6 \# ]6 _* l
4 p/ H; a- O- @- 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:
* u7 k& V6 B, N( a; o3 b; u; w; Y5 `7 |: C* w
1. Number can appear only once on each row:
1 g! }% S" \& c' \
( e0 ^- v$ K/ F& tAllowed
. f9 P* Z6 k! b1 G$ u: o. Z. k - B* ?; O" ?$ J* B
Not allowed " @1 I( s8 N! a3 Q$ {3 i* }0 g
, u% @7 r+ j8 }" b9 L1 j
2. Number can appear only once on each column: ' J6 w) D( H9 x4 J& u
8 p- ]' N3 H4 Y7 e' V3 U* V
Allowed Not allowed 8 }3 T) ~( E! V
& f* T9 i( O2 c+ L$ a8 W
$ u( H ]1 {/ u) r: {3. Number can appear only once on each region: ( g# I& I ^" P2 F( c& Z D4 d3 T
/ W3 d R2 Y4 NAllowed Not allowed
7 \' h- s& S) H' A* y4 B! ^
: J; J& J% n) K2 T- g3 W
% v! D4 F5 Z- i' D6 F: j$ D- 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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