Easy Puzzle #34 - One Possible Solution Approach…
	NB:  There is only one final solution to this Sudoku puzzle…
	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	2	3	1	7	4	5	9	6	8		Easy Puzzle #34 - November 3, 2005
2		6						7			Original puzzle as published © joe-ks.com
3			9				3
4	1			2		7			9
5	8	9			1			3	7
6	3			5		9			6
7			2				7
8		1						8
9	5	7	4	3	9	8	6	1	2
	A	B	C	D	E	F	G	H	I
1	2	3	1	7	4	5	9	6	8		Step 1: #2 is in Columns A & C: #2 MUST go in Cell B6
2		6						7			(#2 in Row 4 @ D4 excludes use of Cell B4)
3			9				3
4	1			2		7			9		Step 2: #9 is in Columns G & I: #9 MUST go in Cell H7…
5	8	9			1			3	7
6	3	2		5		9			6
7			2				7	9
8		1						8
9	5	7	4	3	9	8	6	1	2
	A	B	C	D	E	F	G	H	I
1	2	3	1	7	4	5	9	6	8		Step 3: #3 is in Columns A & B: #3 MUST go in Cell C8...
2		6						7
3			9				3				Step 4: #7 is in Columns D & F: #7 MUST go in Cell E8
4	1			2		7			9		(#7 in Row 7 @ G7 excludes use of Cell E7)
5	8	9			1			3	7
6	3	2		5		9			6
7			2				7	9
8		1	3		7			8
9	5	7	4	3	9	8	6	1	2
	A	B	C	D	E	F	G	H	I
1	2	3	1	7	4	5	9	6	8		Step 5: #9 is in Columns B & C: #9 MUST go in Cell A8
2		6						7			(#9 in Row 7 @ H7 excludes use of Cell A7)
3			9				3
4	1			2		7			9
5	8	9			1			3	7
6	3	2		5		9			6
7			2				7	9
8	9	1	3		7			8
9	5	7	4	3	9	8	6	1	2
	A	B	C	D	E	F	G	H	I
1	2	3	1	7	4	5	9	6	8		Step 6: Complete Block GG: need #s 6 & 8…
2		6						7			#8 can't go in Cell A7 (cf #8 in Column A @ A5), so
3			9				3				#8 MUST go in Cell B7, & therefore #6 MUST go in Cell A7
4	1			2		7			9
5	8	9			1			3	7		Step 7: #3 is in Columns G & H: #3 MUST go in Cell I7
6	3	2		5		9			6		(#3 in Row 8 @ Cell C8 excludes use of Cell I8)
7	6	8	2				7	9	3
8	9	1	3		7			8
9	5	7	4	3	9	8	6	1	2
	A	B	C	D	E	F	G	H	I
1	2	3	1	7	4	5	9	6	8		Step 8: #8 is in Columns A & B: #8 MUST go in Cell C2...
2		6	8					7
3			9				3				Step 9: #5 is in Columns D & F: #5 MUST go in Cell E7…
4	1			2		7			9
5	8	9			1			3	7
6	3	2		5		9			6
7	6	8	2		5		7	9	3
8	9	1	3		7			8
9	5	7	4	3	9	8	6	1	2
	A	B	C	D	E	F	G	H	I
1	2	3	1	7	4	5	9	6	8		Step 10: Complete Column A: need #s 4 & 7…
2	4	6	8					7			#7 can't go in Cell A2 (cf #7 in Row 2 @ H2), so
3	7		9				3				#7 MUST go in Cell A3, & therefore #4 MUST go in Cell A2
4	1			2		7			9
5	8	9			1			3	7		Step 11: #1 is in Rows 4 & 5: #1 MUST go in Cell G6
6	3	2		5		9	1		6		(#1 in Column H @ H9 excludes use of Cell H6)
7	6	8	2		5		7	9	3
8	9	1	3		7			8
9	5	7	4	3	9	8	6	1	2
	A	B	C	D	E	F	G	H	I
1	2	3	1	7	4	5	9	6	8		Step 12: Complete Block AA: #5 MUST go in Cell B3...
2	4	6	8					7
3	7	5	9				3				Step 13: Complete Column B: #4 MUST go in Cell B4...
4	1	4		2		7			9
5	8	9			1			3	7
6	3	2		5		9	1		6
7	6	8	2		5		7	9	3
8	9	1	3		7			8
9	5	7	4	3	9	8	6	1	2
	A	B	C	D	E	F	G	H	I
1	2	3	1	7	4	5	9	6	8		Step 14: #7 is in Rows 4 & 5: #7 MUST go in Cell C6...
2	4	6	8					7
3	7	5	9				3
4	1	4		2		7			9
5	8	9			1			3	7
6	3	2	7	5		9	1		6
7	6	8	2		5		7	9	3
8	9	1	3		7			8
9	5	7	4	3	9	8	6	1	2
	A	B	C	D	E	F	G	H	I
1	2	3	1	7	4	5	9	6	8		Step 15: #3 is in Rows 5 & 6: #3 MUST go in Cell E4...
2	4	6	8			3		7
3	7	5	9				3				Step 16: #3 is now in Columns D & E: #3 MUST go in Cell F2
4	1	4		2	3	7			9		(#3 in Row 3 @ G3 exludes use of Cell F3)
5	8	9			1			3	7
6	3	2	7	5		9	1		6
7	6	8	2		5		7	9	3
8	9	1	3		7			8
9	5	7	4	3	9	8	6	1	2
	A	B	C	D	E	F	G	H	I
1	2	3	1	7	4	5	9	6	8		Step 17: Complete Row 6: need #s 4 & 8…
2	4	6	8			3		7			#8 can't go in Cell H6 (cf #8 in Column H @ H8), so
3	7	5	9	8			3				#8 MUST go in Cell E6, & therefore #4 MUST go in Cell H6
4	1	4		2	3	7			9
5	8	9			1			3	7		Step 18: #8 is now in Columns E & F: #8 MUST go in Cell D3
6	3	2	7	5	8	9	1	4	6		(#8 in Row 2 @ C2 excludes use of Cell D2)
7	6	8	2		5		7	9	3
8	9	1	3		7			8
9	5	7	4	3	9	8	6	1	2
	A	B	C	D	E	F	G	H	I
1	2	3	1	7	4	5	9	6	8		Step 19: Row #4 needs #6: #6 MUST go in Cell C4
2	4	6	8			3		7			(#6 in Column G @ G9 excludes use of Cell G4, &
3	7	5	9	8			3				#6 in Column H @ H1 excludes use of Cell H4)
4	1	4	6	2	3	7			9
5	8	9			1			3	7
6	3	2	7	5	8	9	1	4	6
7	6	8	2		5		7	9	3
8	9	1	3		7			8
9	5	7	4	3	9	8	6	1	2
	A	B	C	D	E	F	G	H	I
1	2	3	1	7	4	5	9	6	8		Step 20: Complete Row 4: need #s 5 & 8…
2	4	6	8			3		7			#8 can't go in Cell H4 (cf #8 in Column H @ H8), so
3	7	5	9	8			3	2			#8 MUST go in Cell G4, & therefore #5 MUST go in Cell H4
4	1	4	6	2	3	7	8	5	9
5	8	9			1		2	3	7		Step 21: Complete Column H: #2 MUST go in Cell H3...
6	3	2	7	5	8	9	1	4	6
7	6	8	2		5		7	9	3		Step 22: #2 is now in Columns H & I: #2 MUST go in Cell G5
8	9	1	3		7			8
9	5	7	4	3	9	8	6	1	2
	A	B	C	D	E	F	G	H	I
1	2	3	1	7	4	5	9	6	8		Step 23: Complete Column G: need #s 4 & 5…
2	4	6	8			3	5	7			#4 can't go in Cell G2 (cf #4 in Row 2 @ A2), so
3	7	5	9	8			3	2			#4 MUST go in Cell G8, & therefore #5 MUST go in Cell G2
4	1	4	6	2	3	7	8	5	9
5	8	9			1		2	3	7		Step 24: Complete Block II: #5 MUST go in Cell I8...
6	3	2	7	5	8	9	1	4	6
7	6	8	2		5		7	9	3
8	9	1	3		7		4	8	5
9	5	7	4	3	9	8	6	1	2
	A	B	C	D	E	F	G	H	I
1	2	3	1	7	4	5	9	6	8		Step 25: Complete Block CC: need #s 1 & 4…
2	4	6	8			3	5	7	1		#4 can't go in Cell I2 (cf #4 in Row 2 @ A2), so
3	7	5	9	8			3	2	4		#4 MUST go in Cell I3, & therefore #1 MUST go in Cell I2
4	1	4	6	2	3	7	8	5	9
5	8	9			1		2	3	7		Step 26: Complete Row 8: need #s 2 & 6…
6	3	2	7	5	8	9	1	4	6		#2 can't go in Cell D8 (cf #2 in Column D @ D4), so
7	6	8	2		5		7	9	3		#2 MUST go in Cell F8, & therefore #6 MUST go in Cell D8
8	9	1	3	6	7	2	4	8	5
9	5	7	4	3	9	8	6	1	2
	A	B	C	D	E	F	G	H	I
1	2	3	1	7	4	5	9	6	8		Step 27: Complete Row 3: need #s 1 & 6…
2	4	6	8			3	5	7	1		#1 can't go in Cell E3 (cf #1 in Column E @ E5), so
3	7	5	9	8	6	1	3	2	4		#1 MUST go in Cell F3, & therefore #6 MUST go in Cell E3
4	1	4	6	2	3	7	8	5	9
5	8	9			1	6	2	3	7		Step 28: #6 is now in Columns D & E: #6 MUST go in Cell F5
6	3	2	7	5	8	9	1	4	6
7	6	8	2		5		7	9	3
8	9	1	3	6	7	2	4	8	5
9	5	7	4	3	9	8	6	1	2
	A	B	C	D	E	F	G	H	I
1	2	3	1	7	4	5	9	6	8		Step 29: Complete Row 2: need #s 2 & 9…
2	4	6	8	9	2	3	5	7	1		#2 can't go in Cell D2 (cf #2 in Column D @ D4), so
3	7	5	9	8	6	1	3	2	4		#2 MUST go in Cell E2, & therefore #9 MUST go in Cell D2
4	1	4	6	2	3	7	8	5	9
5	8	9	5	4	1	6	2	3	7		Step 30: Complete Row 5: need #s 4 & 5...
6	3	2	7	5	8	9	1	4	6		#5 can't go in Cell D5 (cf #5 in Column D @ D6), so
7	6	8	2		5		7	9	3		#5 MUST go in Cell C5, & therefore #4 MUST go in Cell D5
8	9	1	3	6	7	2	4	8	5
9	5	7	4	3	9	8	6	1	2
	A	B	C	D	E	F	G	H	I
1	2	3	1	7	4	5	9	6	8		Step 31: Complete Row 7 (& Puzzle): need #s 1 & 4…
2	4	6	8	9	2	3	5	7	1		#4 can't go in Cell D7 (cf #4 in Column D @ D5), so
3	7	5	9	8	6	1	3	2	4		#4 MUST go in Cell F7, & therefore #1 MUST go in Cell D7
4	1	4	6	2	3	7	8	5	9
5	8	9	5	4	1	6	2	3	7
6	3	2	7	5	8	9	1	4	6
7	6	8	2	1	5	4	7	9	3
8	9	1	3	6	7	2	4	8	5
9	5	7	4	3	9	8	6	1	2
	A	B	C	D	E	F	G	H	I
1	2	3	1	7	4	5	9	6	8	45	Final Proof:
2	4	6	8	9	2	3	5	7	1	45	- All Rows add up to 45;
3	7	5	9	8	6	1	3	2	4	45
4	1	4	6	2	3	7	8	5	9	45
5	8	9	5	4	1	6	2	3	7	45
6	3	2	7	5	8	9	1	4	6	45
7	6	8	2	1	5	4	7	9	3	45
8	9	1	3	6	7	2	4	8	5	45
9	5	7	4	3	9	8	6	1	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