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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": - Q7 M+ L8 S, r2 U
. A- Z: h# R8 ?6 {) B/ r " j/ X; p/ B) y8 y( q, E' {
Region & O9 }5 p" L) y1 ` i% L
. S% c( ]# E" D1 U" m2 A6 q
7 B7 v$ S9 |& {5 j7 z- Sudoku begins with some of the grid cells already filled with numbers: ( h5 t% N0 G9 @3 [. i- G. t
9 j" x% P( J% u d% P2 X- X
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8 l) k; n" @' E' r4 @2 S- Z# ?, u& B1 S- 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:
: P& e8 K1 i5 J# \2 I6 _4 W1 v# U6 i1 Z% s) o# F7 ^7 ~
1. Number can appear only once on each row: 6 w P _1 Y3 @" U0 n0 b. O
3 ?- n5 j* A$ P/ l9 j4 wAllowed 8 r, l7 ^5 t6 I
1 y# a/ o* @. O! H- lNot allowed
! H6 G0 n$ K ^* W7 {& J
/ t# B: q% k$ j V* U$ ^' ^7 N2. Number can appear only once on each column: " Z& J3 V' h+ {4 }/ N
' w: h Z0 k1 U- s
Allowed Not allowed
0 |6 ?+ w3 V% V
8 p/ [0 j) \/ }4 r4 z, h, S
" C# l, h1 V, i3. Number can appear only once on each region:
9 F- S: G7 k& p8 f: c: o# s! d3 |
Allowed Not allowed
$ b4 ~( B' j, V3 {6 S m 7 u/ A( l' ~+ h& C+ S; l9 `2 e
1 e# f l. g5 Q' ^
- 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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