如何获得数独二维数组的索引,因为它与QUOT;分格"和"细胞内式分格"索引? [英] How to get the Sudoku 2D-array index, given its "sub-grid" and "cell-in-the-sub-grid" indexes?
问题描述
我工作的一个数独的事情,我无法还原它的一个组成部分。
我设计一个 SudokuBoard
对象有一个基本的二维字节数组,和三种不同的观点,即数组:行单位,列单位和网格单元。网格是九经九块,像这样的索引:
网格指数
| |
0 | 1 | 2
| |
-------------------------
| |
3 | 4 |五
| |
-------------------------
| |
6 | 7 | 8
| |
如果每个网格有九个单元,这样的索引
细胞指数
0 1 2
3 4 5
6 7 8
下面是二维数组坐标板:
2D-ARRAY坐标
[0,0] [0,1] [0,2] | [0,3] [0,4] [0,5] | [0,6] [0,7] [0,8]
[1,0] [1,1] [1,2] | [1,3] [1,4] [1,5] | [1,6] [1,7] [1,8]
[2,0] [2,1] [2,2] | [2,3] [2,4] [2,5] | [2,6] [2,7] [2,8]
------------------- + ------------ + -------- -----------
[3,0] [3,1] [3,2] | [3,3] [3,4] [3,5] | [3,6] [3,7] [3,8]
[4,0] [4,1] [4,2] |并[4,3] [4,4] [4,5] | [4,6] [4,7] [4,8]
[5,0] [5,1] [5,2] | [5,3] [5,4] [5,5] | [5,6] [5,7] [5,8]
------------------- + ------------ + -------- -----------
[6,0] [6,1] [6,2] | [6,3] [6,4] [6,5] | [6,6] [6,7] [6,8]
[7,0] [7,1] [7,2] | [7,3] [7,4] [7,5] | [7,6] [7,7] [7,8]
[8,0] [8,1] [8,2] | [8,3] [8,4] [8,5] | [8,6] [8,7] [8,8]
我创建了一个函数来获取数组坐标,给电网和细胞指标。确定列索引是一个脑克星,但我理解了它是
INT colIdx =(cell_idx%3)+((grid_idx%3)* 3);
我也想通了,做决定行的索引,但我不满意怎么复杂,这就是。
INT rowIdx = -1;
如果(grid_idx 3;){
rowIdx =((cell_idx&所述; 3)0
:((cell_idx&10 6)1:2));
}否则如果(grid_idx< 6){
rowIdx =((cell_idx&所述; 3)3
:((cell_idx&10 6)4:5));
} 其他 {
rowIdx =((cell_idx&所述; 3)6
:((cell_idx< 6)7:8));
}
如果任何人有关于如何减少这种,理想情况下,以一个工科数学公式的想法,我倒是AP preciate吧。
下面的演示它的工作程序。感谢您的帮助。
进口java.util.Arrays中;
/ **
< P> {@ code SudokuGridUnitCoordinates}< / P>
** /
公共类SudokuGridUnitCoordinates {
公共静态最终无效的主要(字符串[] idxZeroGridIdx_0to8){
INT gridIdx = -1;
尝试 {
gridIdx =的Integer.parseInt(idxZeroGridIdx_0to8 [0]);
如果(gridIdx℃,|| gridIdx→8){
抛出新抛出:IllegalArgumentException();
}
}赶上(抛出:IllegalArgumentException | ArrayIndexOutOfBoundsException异常X){
抛出新抛出:IllegalArgumentException(通过8 idxZeroGridIdx_0to8的第一个元素必须是数字零:+ Arrays.toString(idxZeroGridIdx_0to8));
}
printCellCoordinates(gridIdx,0);
printCellCoordinates(gridIdx,1);
printCellCoordinates(gridIdx,2);
printCellCoordinates(gridIdx,3);
printCellCoordinates(gridIdx,4);
printCellCoordinates(gridIdx,5);
printCellCoordinates(gridIdx,6);
printCellCoordinates(gridIdx,7);
printCellCoordinates(gridIdx,8);
}
私有静态最终无效printCellCoordinates(INT grid_idx,诠释cell_idx){
INT rowIdx = -1;
如果(grid_idx 3;){
rowIdx =((cell_idx&所述; 3)0
:((cell_idx&10 6)1:2));
}否则如果(grid_idx< 6){
rowIdx =((cell_idx&所述; 3)3
:((cell_idx&10 6)4:5));
} 其他 {
rowIdx =((cell_idx&所述; 3)6
:((cell_idx< 6)7:8));
}
INT colIdx =(cell_idx%3)+((grid_idx%3)* 3);
的System.out.println(网格=+ grid_idx +,细胞=+ cell_idx + - > sudoku2DGridArray [+ rowIdx +,+ colIdx +]);
}
}
什么
rowIdx = 3 *(grid_idx / 3)+ cell_idx / 3
所有的刻度是整数除法
I'm working on a sudoku thing, and I'm having trouble reducing one part of it.
I'm designing a SudokuBoard
object to have an underlying 2D byte array, and three different views of that array: row-units, column-units and grid units. A grid is the nine-by-nine blocks, indexed like this:
GRID INDEX
| |
0 | 1 | 2
| |
-------------------------
| |
3 | 4 | 5
| |
-------------------------
| |
6 | 7 | 8
| |
Where each grid has nine cells, indexed like this
CELL INDEX
0 1 2
3 4 5
6 7 8
Here is the 2d array coordinates for the board:
2D-ARRAY COORDINATE
[0,0] [0,1] [0,2] | [0,3] [0,4] [0,5] | [0,6] [0,7] [0,8]
[1,0] [1,1] [1,2] | [1,3] [1,4] [1,5] | [1,6] [1,7] [1,8]
[2,0] [2,1] [2,2] | [2,3] [2,4] [2,5] | [2,6] [2,7] [2,8]
-------------------+---------------------+-------------------
[3,0] [3,1] [3,2] | [3,3] [3,4] [3,5] | [3,6] [3,7] [3,8]
[4,0] [4,1] [4,2] | [4,3] [4,4] [4,5] | [4,6] [4,7] [4,8]
[5,0] [5,1] [5,2] | [5,3] [5,4] [5,5] | [5,6] [5,7] [5,8]
-------------------+---------------------+-------------------
[6,0] [6,1] [6,2] | [6,3] [6,4] [6,5] | [6,6] [6,7] [6,8]
[7,0] [7,1] [7,2] | [7,3] [7,4] [7,5] | [7,6] [7,7] [7,8]
[8,0] [8,1] [8,2] | [8,3] [8,4] [8,5] | [8,6] [8,7] [8,8]
I've created a function to get the array-coordinate, given the grid and cell indexes. Determining the column index was a brain-buster, but I figured it out to be
int colIdx = (cell_idx % 3) + ((grid_idx % 3) * 3);
I also figured out do determine the row index, but I am unhappy with how complicated this is.
int rowIdx = -1;
if(grid_idx < 3) {
rowIdx = ((cell_idx < 3) ? 0
: ((cell_idx < 6) ? 1 : 2));
} else if(grid_idx < 6) {
rowIdx = ((cell_idx < 3) ? 3
: ((cell_idx < 6) ? 4 : 5));
} else {
rowIdx = ((cell_idx < 3) ? 6
: ((cell_idx < 6) ? 7 : 8));
}
If anyone has ideas on how to reduce this, ideally to a mathmatical formula, I'd appreciate it.
Here's a working application that demonstrates it. Thanks for any help.
import java.util.Arrays;
/**
<P>{@code SudokuGridUnitCoordinates}</P>
**/
public class SudokuGridUnitCoordinates {
public static final void main(String[] idxZeroGridIdx_0to8) {
int gridIdx = -1;
try {
gridIdx = Integer.parseInt(idxZeroGridIdx_0to8[0]);
if(gridIdx < 0 || gridIdx > 8) {
throw new IllegalArgumentException();
}
} catch(IllegalArgumentException | ArrayIndexOutOfBoundsException x) {
throw new IllegalArgumentException("The first element in idxZeroGridIdx_0to8 must be a digit zero through 8: " + Arrays.toString(idxZeroGridIdx_0to8));
}
printCellCoordinates(gridIdx, 0);
printCellCoordinates(gridIdx, 1);
printCellCoordinates(gridIdx, 2);
printCellCoordinates(gridIdx, 3);
printCellCoordinates(gridIdx, 4);
printCellCoordinates(gridIdx, 5);
printCellCoordinates(gridIdx, 6);
printCellCoordinates(gridIdx, 7);
printCellCoordinates(gridIdx, 8);
}
private static final void printCellCoordinates(int grid_idx, int cell_idx) {
int rowIdx = -1;
if(grid_idx < 3) {
rowIdx = ((cell_idx < 3) ? 0
: ((cell_idx < 6) ? 1 : 2));
} else if(grid_idx < 6) {
rowIdx = ((cell_idx < 3) ? 3
: ((cell_idx < 6) ? 4 : 5));
} else {
rowIdx = ((cell_idx < 3) ? 6
: ((cell_idx < 6) ? 7 : 8));
}
int colIdx = (cell_idx % 3) + ((grid_idx % 3) * 3);
System.out.println("grid=" + grid_idx + ", cell=" + cell_idx + " --> sudoku2DGridArray[" + rowIdx + ", " + colIdx + "]");
}
}
What about
rowIdx = 3*(grid_idx/3) + cell_idx/3
all division being integer divisions
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