Easy Puzzle #22 - One Possible Solution Approach…
	NB:  There is only one final solution to this Sudoku puzzle…
	Rules: Place a number from 1-9 in each empty cell so that each row, each column AND each 3x3 block contains all the numbers from 1-9.
	A	B	C	D	E	F	G	H	I
1
2	AA			BB			CC				Reference to 3x3 Blocks AA, BB & CC
3
4
5	DD			EE			FF				Reference to 3x3 Blocks DD, EE & FF
6
7
8	GG			HH			II				Reference to 3x3 Blocks GG, HH & II
9
	A	B	C	D	E	F	G	H	I
1			4			5			3		Easy Puzzle #22 - October 22, 2005
2	2			8		6		4			Original puzzle as published on joe-ks.com…
3		3			4		2
4			5	1		3			7
5		8		2				6
6	1			4			3		5
7			1		9			7
8		9		3		8			6
9	8		7	5			9
	A	B	C	D	E	F	G	H	I
1			4			5			3		Step 1: #3 is in Rows 1 & 3: #3 MUST go in Cell E2…
2	2			8	3	6		4
3		3			4		2
4			5	1		3			7		Step 2: #7 is in Rows 7 & 9: #7 MUST go in Cell E8…
5		8		2				6
6	1			4			3		5
7			1		9			7
8		9		3	7	8			6
9	8		7	5			9
	A	B	C	D	E	F	G	H	I
1			4			5			3		Step 3: #5 is in Columns D & F: #5 MUST go in Cell E5
2	2			8	3	6		4			(#5 in Row 4 @ C4 excludes use of Cell E4, & #5 in Row 6
3		3			4		2				@ I6 excludes use of Cell E6)
4			5	1		3			7
5		8		2	5			6
6	1			4			3		5
7			1		9			7
8		9		3	7	8			6
9	8		7	5			9
	A	B	C	D	E	F	G	H	I
1			4			5			3		Step 4: #3 is in Column G & I: #3 MUST go in Cell H9
2	2			8	3	6		4			(#3 in Row 8 @ D8 excludes use of Cell H8)
3		3			4		2
4			5	1		3			7		Step 5: Now you have #3 in Rows 8 & 9…
5		8		2	5			6			#3 MUST go in Cell A7
6	1			4			3		5		(cf #3 in Column B @ B3 excludes use of Cell B7)
7	3		1		9			7
8		9		3	7	8			6
9	8		7	5			9	3
	A	B	C	D	E	F	G	H	I
1			4			5			3		Step 6: #3 is in Columns A & B: #3 MUST go in Cell C5
2	2			8	3	6		4			(cf #3 is Row 6 @ G6 excludes use of Cell C6)
3		3			4		2
4			5	1		3			7
5		8	3	2	5			6
6	1			4			3		5
7	3		1		9			7
8		9		3	7	8			6
9	8		7	5			9	3
	A	B	C	D	E	F	G	H	I
1			4			5	6		3		Step 7: #8 is in Column A & B: #8 MUST go in Cell C3
2	2			8	3	6		4			(cf #8 in Row 2 @ D2 excludes use of Cell C2)
3		3	8		4		2
4			5	1		3			7
5		8	3	2	5			6			Step 8: #6 is in Columns H & I: #6 MUST go in Cell G1
6	1			4			3		5		(cf #6 in Row 2 @ F2 excludes use of Cell G2)
7	3		1		9			7
8		9		3	7	8			6
9	8		7	5			9	3
	A	B	C	D	E	F	G	H	I
1			4			5	6		3		Step 9: #7 is in Columns H & I: #7 MUST go in Cell G2…
2	2	5		8	3	6	7	4
3		3	8		4		2				Step 10: Row 2 needs #5: #5 MUST go in Cell B2
4			5	1		3			7		(cf #5 in Column C @ C4 excludes Cell C2;
5		8	3	2	5			6			#5 in Column I @ I6 excludes Cell I2)
6	1			4			3		5
7	3		1		9			7
8		9		3	7	8			6
9	8		7	5			9	3
	A	B	C	D	E	F	G	H	I
1			4			5	6		3		Step 11: Complete Row 2: need #s 1 & 9…
2	2	5	9	8	3	6	7	4	1		#1 can't go in Cell C2 (cf #1 in Column C @ C7), so
3		3	8		4		2				#1 MUST go in Cell I2, & therefore #9 MUST go in Cell C2
4			5	1		3			7
5		8	3	2	5			6
6	1			4			3		5
7	3		1		9			7
8		9		3	7	8			6
9	8		7	5			9	3
	A	B	C	D	E	F	G	H	I
1			4			5	6		3		Step 12: Complete Column C: need #s 2 & 6…
2	2	5	9	8	3	6	7	4	1		#6 can’t go in Cell C8 (cf #6 in Row 8 @ I8), so
3		3	8		4		2				#6 MUST go ni Cell C6, & therefore #2 MUST go in Cell C8
4			5	1		3			7
5		8	3	2	5			6
6	1		6	4			3		5
7	3		1		9			7
8		9	2	3	7	8			6
9	8		7	5			9	3
	A	B	C	D	E	F	G	H	I
1		1	4			5	6	8	3		Step 13: Block AA needs #1: #1 MUST go in Cell B1
2	2	5	9	8	3	6	7	4	1		(cf #1 in Column A @ A6 excludes use of Cells A1 & A3)
3		3	8		4		2
4			5	1		3			7		Step 14: Block CC needs #8: #8 MUST go cin Cell H1
5		8	3	2	5			6			(cf #8 in Row 3 @ C3 excludes use of Cells H3 & I3)
6	1		6	4			3		5
7	3		1		9			7
8		9	2	3	7	8			6
9	8		7	5			9	3
	A	B	C	D	E	F	G	H	I
1	7	1	4			5	6	8	3		Step 15: Complete Block CC: need #s 5 & 9…
2	2	5	9	8	3	6	7	4	1		#5 can’t go in Cell I3 (cf #5 in Column I @ I6), so
3	6	3	8		4		2	5	9		#5 MUST go in Cell H3, & therefore #9 MUST go in Cell I3
4			5	1		3			7
5		8	3	2	5			6			Step 16: Complete Block AA: need #s 6 & 7…
6	1		6	4			3		5		#6 can't go in Cell A1 (cf #6 in Row 1 @ G1), so
7	3		1		9			7			#6 MUST go in Cell A3, & therefore #7 MUST go in Cell A1
8		9	2	3	7	8			6
9	8		7	5			9	3
	A	B	C	D	E	F	G	H	I
1	7	1	4	9	2	5	6	8	3		Step 17: Complete Row 1: need #s 2 & 9…
2	2	5	9	8	3	6	7	4	1		#2 can't go in Cell D1 (cf #2 in Column D @ D5), so
3	6	3	8		4		2	5	9		#2 MUST go in Cell E1, & therefore #9 MUST go in Cell D1
4			5	1		3			7
5		8	3	2	5			6
6	1		6	4			3		5
7	3		1		9			7
8		9	2	3	7	8			6
9	8		7	5			9	3
	A	B	C	D	E	F	G	H	I
1	7	1	4	9	2	5	6	8	3		Step 18: Complete Row 3: need #s 1 & 7…
2	2	5	9	8	3	6	7	4	1		#1 can't go in Cell D3 (cf #1 in Column D @ D4), so
3	6	3	8	7	4	1	2	5	9		#1 MUST go in Cell F3, & therefore #7 MUST go in Cell D3
4			5	1		3			7
5		8	3	2	5			6			Step 19: Now only need 1 # in Column D:
6	1		6	4			3		5		#6 MUST go in Cell D7…
7	3		1	6	9			7
8		9	2	3	7	8			6
9	8		7	5			9	3
	A	B	C	D	E	F	G	H	I
1	7	1	4	9	2	5	6	8	3		Step 20: Column E needs #1: #1 MUST go in Cell E9
2	2	5	9	8	3	6	7	4	1		(cf #1 in Row 4 @ D4 excludes Cell E4, & #1 in Row 6 @
3	6	3	8	7	4	1	2	5	9		A5 excludes use of Cell E6)
4			5	1		3			7
5		8	3	2	5			6
6	1		6	4			3		5
7	3		1	6	9			7
8		9	2	3	7	8			6
9	8		7	5	1		9	3
	A	B	C	D	E	F	G	H	I
1	7	1	4	9	2	5	6	8	3		Step 21: Comlpete Column E: need #s 6 & 8…
2	2	5	9	8	3	6	7	4	1		#6 can't go in Cell E6 (cf #6 in Row 6 @ C6 excludes E6)
3	6	3	8	7	4	1	2	5	9		so #6 MUST go in Cell #E4, & therefore #8 MUST go in E6
4			5	1	6	3			7
5		8	3	2	5			6
6	1		6	4	8		3		5
7	3		1	6	9			7
8		9	2	3	7	8			6
9	8		7	5	1		9	3
	A	B	C	D	E	F	G	H	I
1	7	1	4	9	2	5	6	8	3		Step 22: Column I needs #8: #8 MUST go in Cell I7
2	2	5	9	8	3	6	7	4	1		(cf #8 in Row 5 @ B5 excludes Cell I5, & #8 in Row 9
3	6	3	8	7	4	1	2	5	9		@ A9 excludes Cell I9)
4			5	1	6	3			7
5		8	3	2	5			6
6	1		6	4	8		3		5
7	3		1	6	9			7	8
8		9	2	3	7	8			6
9	8		7	5	1		9	3
	A	B	C	D	E	F	G	H	I
1	7	1	4	9	2	5	6	8	3		Step 23: Complete Column I: need #s 2 & 4…
2	2	5	9	8	3	6	7	4	1		#2 can't go in Cell I5 (cf #2 in Row 5 @ D5), so
3	6	3	8	7	4	1	2	5	9		#2 MUST go in Cell I9, & therefore #4 MUST go in Cell I5
4			5	1	6	3			7
5		8	3	2	5			6	4		Step 24: Complete Block HH: need #s 2 & 4…
6	1		6	4	8		3		5		#2 can't go in Cell F9 (see #2 from Step 23 in I9), so
7	3		1	6	9	2		7	8		#2 MUST go in Cell F7, & therefore #4 MUST go in Cell F9
8		9	2	3	7	8			6
9	8		7	5	1	4	9	3	2
	A	B	C	D	E	F	G	H	I
1	7	1	4	9	2	5	6	8	3		Step 25: Complete Row 7: need #s 4 & 5…
2	2	5	9	8	3	6	7	4	1		#5 can't go in Cell B7 (cf #5 in Column B @ B2), so
3	6	3	8	7	4	1	2	5	9		#5 MUST go in Cell G7, & therefore #4 MUST go in Cell B7
4			5	1	6	3			7
5		8	3	2	5			6	4
6	1		6	4	8		3		5
7	3	4	1	6	9	2	5	7	8
8		9	2	3	7	8			6
9	8		7	5	1	4	9	3	2
	A	B	C	D	E	F	G	H	I
1	7	1	4	9	2	5	6	8	3		Step 26: Complete Block GG: need #5 & 6…
2	2	5	9	8	3	6	7	4	1		#5 can't go in Cell B9 (cf #5 in Row 9 @ D9), so
3	6	3	8	7	4	1	2	5	9		#5 MUST go in Cell A8, & therefore #6 MUST go in Cell B9
4			5	1	6	3			7
5		8	3	2	5			6	4		Step 27: Complete Block II: need #s 1 & 4…
6	1		6	4	8		3		5		#4 can't go in Cell H8 (cf #4 in Column H @ H2), so
7	3	4	1	6	9	2	5	7	8		#4 MUST go in Cell G8, & therefore #1 MUST go in Cell H8
8	5	9	2	3	7	8	4	1	6
9	8	6	7	5	1	4	9	3	2
	A	B	C	D	E	F	G	H	I
1	7	1	4	9	2	5	6	8	3		Step 28: Complete Column A: need #s 4 & 9…
2	2	5	9	8	3	6	7	4	1		#4 can't go in Cell A5 (cf #4 in Row 5 @ I5), so
3	6	3	8	7	4	1	2	5	9		#4 MUST go in Cell A4, & therefore #9 MUST go in Cell A5
4	4		5	1	6	3			7
5	9	8	3	2	5			6	4
6	1		6	4	8		3		5
7	3	4	1	6	9	2	5	7	8
8	5	9	2	3	7	8	4	1	6
9	8	6	7	5	1	4	9	3	2
	A	B	C	D	E	F	G	H	I
1	7	1	4	9	2	5	6	8	3		Step 29: Complete Column B: need #s 2 & 7…
2	2	5	9	8	3	6	7	4	1		#7 can't go in Cell B4 (cf #7 in Row 4 @ I4), so
3	6	3	8	7	4	1	2	5	9		#7 MUST go in Cell B6, & therefore #2 MUST go in Cell B4
4	4	2	5	1	6	3			7
5	9	8	3	2	5			6	4
6	1	7	6	4	8		3		5
7	3	4	1	6	9	2	5	7	8
8	5	9	2	3	7	8	4	1	6
9	8	6	7	5	1	4	9	3	2
	A	B	C	D	E	F	G	H	I
1	7	1	4	9	2	5	6	8	3		Step 30: Complete Column F: need #s 7 & 9…
2	2	5	9	8	3	6	7	4	1		#9 can't go in Cell F5 (cf #9 in Row 5 @ A5), so
3	6	3	8	7	4	1	2	5	9		#9 MUST go in Cell F6, & therefore #7 MUST go in Cell F5
4	4	2	5	1	6	3		9	7
5	9	8	3	2	5	7		6	4		Step 31: Complete Column H: need #s 2 & 9…
6	1	7	6	4	8	9	3	2	5		#9 can't go in Cell H6 (cf #9 in F6 from Step 30), so
7	3	4	1	6	9	2	5	7	8		#9 MUST go in Cell H4, & therefore #2 MUST go in Cell H6
8	5	9	2	3	7	8	4	1	6
9	8	6	7	5	1	4	9	3	2
	A	B	C	D	E	F	G	H	I
1	7	1	4	9	2	5	6	8	3		Step 32: Complete Column G (& Block FF & Puzzle):
2	2	5	9	8	3	6	7	4	1		need #s 1 & 8…
3	6	3	8	7	4	1	2	5	9		#1 can't go in Cell G4 (cf #1 in Row 4 @ D4), so
4	4	2	5	1	6	3	8	9	7		#1 MUST go in Cell G5, & therefore #8 MUST go in Cell G4.
5	9	8	3	2	5	7	1	6	4
6	1	7	6	4	8	9	3	2	5
7	3	4	1	6	9	2	5	7	8
8	5	9	2	3	7	8	4	1	6
9	8	6	7	5	1	4	9	3	2
	A	B	C	D	E	F	G	H	I
1	7	1	4	9	2	5	6	8	3	45	Final Proof:
2	2	5	9	8	3	6	7	4	1	45	- All Rows add up to 45;
3	6	3	8	7	4	1	2	5	9	45
4	4	2	5	1	6	3	8	9	7	45
5	9	8	3	2	5	7	1	6	4	45
6	1	7	6	4	8	9	3	2	5	45
7	3	4	1	6	9	2	5	7	8	45
8	5	9	2	3	7	8	4	1	6	45
9	8	6	7	5	1	4	9	3	2	45
	45	45	45	45	45	45	45	45	45		- All Columns add up to 45;
	45			45			45				- All 3x3 Blocks add up to 45…
	45			45			45
	45			45			45