Solution: 1 +-----------------------------------+ | 4 | 6 3 1 7 | 8 9 5 2 | | | | +-------| | 8 | 2 4 9 5 | 6 3 | 7 1 | | +-----------+ | | | | 1 3 5 2 | 8 | 4 7 | 9 6 | | +---+---+---+ | | | 9 7 6 | 8 4 2 | 1 | 3 5 | |-----------+---+ +---+ | | 5 1 7 3 | 6 9 | 2 4 8 | |-------+ | +-----------| | 6 9 | 8 4 | 1 7 | 5 2 3 | | | | +---+ | | 7 4 | 2 6 | 3 5 | 8 | 1 9 | | | +---+-------+ | | | 3 5 | 9 | 7 2 1 6 | 8 4 | | +---+ | | | 2 8 1 | 5 9 3 4 | 6 7 | +-----------------------------------+ Solution: 2 +-----------------------------------+ | 2 | 9 6 7 1 | 8 | 3 5 4 | | | | +---+ | | 1 | 8 5 2 3 | 9 4 | 6 7 | | +-----------+ | | | | 9 6 8 5 | 4 | 3 7 | 1 2 | |-------+ +---+---+ | | | 5 1 | 4 3 7 | 2 | 6 | 9 8 | | +-----------+ | +-------| | 8 7 | 3 4 9 6 | 5 2 1 | | | +-----------| | 6 2 | 7 1 8 5 | 9 4 3 | | +---+---+-------+ +---| | 4 3 9 | 6 | 2 1 8 7 | 5 | |-----------+ | +-----------+ | | 7 5 1 8 | 6 | 4 2 3 9 | | | | | | 3 4 2 9 | 5 | 7 1 8 6 | +-----------------------------------+ Solution: 3 +-----------------------------------+ | 8 | 7 9 1 6 | 2 4 5 3 | | | | +-----------| | 6 | 2 4 5 8 | 1 | 3 9 7 | | | +-----------+ +---+ | | 9 | 3 | 5 4 2 | 7 6 | 1 8 | | +---+ +-------+---+ | | | 3 1 7 | 2 9 6 | 8 | 4 5 | |-----------+---+ | | | | 4 5 1 7 | 3 8 | 9 | 2 6 | |-----------+ | +---+-------| | 1 6 3 | 9 | 7 4 | 5 8 2 | | +---+ | +---+ | | 2 4 | 8 3 | 1 5 | 7 | 6 9 | | | +---+-------+ | | | 7 8 | 2 | 6 5 9 1 | 3 4 | | | | | | | 5 9 | 6 | 8 4 3 2 | 7 1 | +-----------------------------------+ Solution: 4 +-----------------------------------+ | 1 | 3 9 7 8 | 4 5 2 6 | | +---+ | +---| | 8 5 | 2 4 6 | 7 9 1 | 3 | | +---+ | +---+ | | 6 7 4 | 5 1 | 3 8 | 9 2 | | +-------+---+---+ | | 9 2 3 | 6 4 5 | 7 8 1 | |-----------+ | | | 7 9 1 | 8 3 2 | 6 5 4 | | | +-----------| | 5 4 6 | 1 7 9 | 2 3 8 | | +---+---+-------+ | | 2 8 | 5 3 | 9 6 | 1 4 7 | | +---+ | +---+ | | 3 | 1 7 2 | 5 8 4 | 6 9 | |---+ | +---+ | | 4 6 8 9 | 2 1 3 7 | 5 | +-----------------------------------+ Solution: 5 +-----------------------------------+ | 7 | 4 3 1 9 | 5 2 8 6 | | +---+ | +---| | 5 2 | 8 7 6 | 4 1 3 | 9 | | +---+ | +---+ | | 8 3 6 | 5 2 | 7 9 | 1 4 | | +-------+---+---+ | | 1 9 4 | 2 8 6 | 3 5 7 | |-----------+---+ | | | 9 5 1 4 | 7 3 | 6 2 8 | |---+ | +-----------| | 4 | 6 7 3 | 5 1 | 8 9 2 | | +---+ | +---+ | | 3 1 | 2 8 | 4 9 | 7 | 6 5 | | +---+---+-------+ | | | 2 7 9 | 6 1 8 5 | 4 3 | | | | | | 6 8 5 | 9 3 2 4 | 7 1 | +-----------------------------------+ Solution: 6 +-----------------------------------+ | 3 | 5 6 9 1 | 8 2 4 7 | | | | | | 6 | 8 2 4 7 | 3 5 9 1 | | | +-----------+ +-----------| | 8 | 3 | 7 1 9 | 6 | 4 5 2 | | +---+ +---+---+ +---| | 7 4 | 8 3 | 2 1 | 9 6 | 5 | | | | | | | | 5 2 | 4 6 | 8 7 | 1 3 | 9 | | | | | | | | 1 9 | 5 2 | 6 4 | 7 8 | 3 | |-------+-------+ +---+---+ | | 2 6 1 8 | 5 9 3 | 7 4 | | +-----------+ | | 9 7 3 5 | 4 2 8 | 1 6 | | +-----------+ | | | 4 | 1 9 7 3 5 6 | 2 8 | +-----------------------------------+ Solution: 7 +-----------------------------------+ | 6 | 2 3 8 4 | 5 1 9 7 | | | | | | 4 | 5 7 9 1 | 3 6 8 2 | | | +-----------+-----------+ | | 5 | 6 | 9 7 3 | 8 2 1 | 4 | | +---+ +---+---+ +---| | 7 3 | 5 2 | 8 4 | 9 6 | 1 | | | | | | | | 2 9 | 8 1 | 6 7 | 4 3 | 5 | | | | | | | | 1 8 | 6 4 | 9 2 | 7 5 | 3 | |-------+-------+ +---+---+ | | 9 4 2 6 | 5 1 3 | 7 8 | | +-----------+ | | 3 7 1 5 | 2 9 8 | 4 6 | | +-----------+ | | | 8 | 1 4 3 7 6 5 | 2 9 | +-----------------------------------+ Solution: 8 +-----------------------------------+ | 9 | 8 7 4 1 | 2 5 3 6 | | | | | | 8 | 5 3 2 6 | 7 9 1 4 | | +-----------+ | +-----------| | 4 | 3 5 1 | 9 | 8 | 6 7 2 | | +---+ +---+---+ +---| | 7 1 | 2 9 | 4 6 | 3 5 | 8 | | | | | | | | 3 2 | 6 8 | 7 5 | 4 9 | 1 | | | | | | | | 5 6 | 4 7 | 2 9 | 1 8 | 3 | |-------+-------+ +---+---+ | | 6 4 9 5 | 3 1 8 | 2 7 | | +-----------+ | | 1 7 8 3 | 5 4 2 | 6 9 | | +-----------+ | | | 2 | 9 1 6 8 3 7 | 4 5 | +-----------------------------------+ Solution: 9 +-----------------------------------+ | 6 | 1 5 7 3 | 4 8 2 9 | | | | | | 9 | 8 4 2 6 | 3 5 7 1 | | +-----------+ +-----------+ | | 1 | 5 3 8 | 9 | 7 2 4 | 6 | | +---+ +---+---+ +---| | 2 7 | 9 1 | 8 5 | 6 3 | 4 | | | | | | | | 5 3 | 7 4 | 1 6 | 9 8 | 2 | | | | | | | | 8 4 | 2 6 | 7 9 | 1 5 | 3 | |-------+-------+ +---+---+ | | 7 6 1 5 | 4 2 3 | 9 8 | | +-----------+ | | 3 2 8 9 | 5 1 4 | 6 7 | | +-----------+ | | | 4 | 9 6 3 2 8 7 | 1 5 | +-----------------------------------+ Solution: 10 +-----------------------------------+ | 9 6 | 1 7 | 8 | 2 3 4 5 | | | | | | | 7 4 | 5 3 | 2 | 8 9 6 1 | | | | | +-----------| | 1 3 | 4 9 | 5 | 7 | 6 2 8 | | +---+---+ | +---+ +---| | 2 | 7 3 | 8 | 6 1 | 5 9 | 4 | | | | | | | | | 5 | 1 8 | 6 | 7 9 | 4 3 | 2 | | | | | | | | | 8 | 5 6 | 2 | 4 3 | 1 7 | 9 | |---+ +---+-------+---+---+ | | 4 2 9 | 5 3 6 8 | 1 7 | |-----------+ | | | 6 8 7 | 1 9 4 2 | 5 3 | | +-----------+ | | | 3 9 2 4 1 5 | 7 | 8 6 | +-----------------------------------+ Solution: 11 +-----------------------------------+ | 5 1 | 6 3 | 8 | 9 7 2 4 | | | | | | | 6 4 | 7 2 | 9 | 5 8 3 1 | | | | +-----------+ | | 8 7 | 9 1 | 4 | 3 2 5 | 6 | | +---+---+ | +---+ +---| | 3 | 5 4 | 8 | 7 1 | 6 9 | 2 | | | | | | | | | 2 | 3 8 | 4 | 5 6 | 1 7 | 9 | | | | | | | | | 9 | 6 1 | 5 | 3 2 | 4 8 | 7 | |---+ +---+-------+---+---+ | | 7 9 2 | 6 1 8 3 | 4 5 | |-----------+ | | | 1 8 5 | 7 2 4 9 | 6 3 | | +-----------+ | | | 4 2 3 9 6 7 | 5 | 1 8 | +-----------------------------------+ Solution: 12 +-----------------------------------+ | 8 6 | 1 3 2 5 7 4 | 9 | | | +-----------+ | | 2 5 | 6 9 8 | 3 4 1 7 | | +-----------+ | | 4 7 | 9 1 3 | 2 8 6 5 | | +---+---+ +---------------| | 3 | 9 7 | 5 4 | 6 1 8 2 | | | | | | | 1 | 2 4 | 8 6 | 7 9 5 3 | | | | | +---+-------| | 9 | 8 5 | 2 7 | 4 | 6 | 3 1 | |---+ +-------+---+ | | | 6 1 3 | 4 5 9 2 | 7 8 | |-----------+ | | | 5 4 2 | 7 1 8 3 | 9 6 | | +-----------+---+ | | 7 3 8 6 9 1 | 5 2 4 | +-----------------------------------+ Solution: 13 +-----------------------------------+ | 7 8 | 1 6 2 3 5 4 | 9 | | | +-----------+ | | 4 2 | 9 7 8 | 5 3 1 6 | | +-----------+ | | 1 9 | 6 3 5 | 4 7 2 8 | | +---+---+ +---------------| | 3 | 7 2 | 4 9 | 6 8 5 1 | | | | | | | 5 | 6 8 | 2 1 | 9 4 7 3 | | | | | +-----------| | 6 | 3 5 | 8 7 | 2 | 1 9 4 | |---+ +-------+---+---+ | | 9 1 4 | 5 3 7 6 | 8 2 | |-----------+ | | | 2 5 3 | 1 4 8 9 | 6 7 | | +-----------+ | | | 8 4 7 9 6 1 | 2 | 3 5 | +-----------------------------------+ Solution: 14 +-----------------------------------+ | 4 2 | 8 | 7 6 1 9 3 5 | | | +-----------+ | | 5 6 | 1 9 3 7 | 2 4 8 | | | +-----------| | 9 1 | 5 4 2 6 | 7 8 3 | | +---+---+-------+---+---+ | | 8 | 7 9 | 2 4 | 3 5 | 1 6 | | | | | | | | 7 | 8 4 | 3 1 | 9 6 | 5 2 | | | | | | | | 3 | 5 2 | 6 7 | 8 1 | 9 4 | |---+ +---+ | +---+---| | 1 3 6 | 5 | 8 | 2 4 7 | 9 | |-----------+ | +-----------+ | | 2 4 3 1 | 9 | 5 8 6 7 | | | | | | 6 9 7 8 | 5 | 4 3 2 1 | +-----------------------------------+ Solution: 15 +-----------------------------------+ | 6 5 | 3 | 1 4 7 2 9 8 | | | +-----------+ | | 1 2 | 7 9 8 4 | 5 3 6 | | | +-----------| | 8 3 | 6 2 5 1 | 7 4 9 | | +---+---+-------+---+---+ | | 7 | 8 5 | 4 9 | 2 1 | 6 3 | | | | | | | | 4 | 6 1 | 5 7 | 9 3 | 8 2 | | | | | | | | 9 | 7 2 | 8 3 | 6 4 | 1 5 | |---+ +---+ | +---+---| | 2 | 4 9 3 | 6 | 5 8 7 | 1 | | +-----------+ +-----------+ | | 3 1 4 6 | 2 | 8 9 5 7 | | | | | | 5 9 8 7 | 1 | 3 6 2 4 | +-----------------------------------+ Solution: 16 +-----------------------------------+ | 1 | 2 4 5 7 3 6 | 8 9 | | +-----------+ | | | 4 | 7 6 2 | 1 9 8 | 3 5 | | | +-----------+ | | 3 | 8 5 9 | 6 2 1 7 4 | | +---+---+ +-------------------| | 7 9 | 8 | 4 | 5 6 3 2 1 | | | | | +-------+---| | 8 6 | 1 | 3 | 9 4 | 7 5 | 2 | | | | | | | | | 2 5 | 9 | 1 | 8 7 | 4 6 | 3 | |-------+ +---+-------+ | | | 5 4 7 | 8 3 1 2 9 | 6 | | +-----------+-------+ | | 6 3 2 | 7 4 5 | 9 1 8 | |-----------+ | | | 9 1 3 6 2 8 | 5 4 7 | +-----------------------------------+ Solution: 17 +-----------------------------------+ | 8 | 5 9 1 6 2 4 | 3 7 | | +-----------+ | | | 9 | 1 6 5 | 7 3 8 | 4 2 | | | +-----------+ | | 3 | 7 4 2 | 5 8 6 1 9 | | +---+---+ +-------------------| | 7 2 | 8 | 9 | 4 6 1 5 3 | | | | | +-----------| | 1 4 | 5 | 3 | 8 9 | 7 2 6 | | | | | | | | 5 6 | 1 | 8 | 2 7 | 3 9 4 | |-------+ +---+-------+-------+ | | 6 9 2 | 4 3 1 5 7 | 8 | | +-----------+ | | | 4 3 7 | 6 9 5 | 2 8 | 1 | |-----------+ | | | | 2 8 3 7 1 4 | 9 6 | 5 | +-----------------------------------+ Solution: 18 +-----------------------------------+ | 3 5 | 6 7 | 2 4 1 8 9 | | | | +-------+---| | 9 1 | 3 4 | 5 7 | 6 2 | 8 | | | | | | | | 2 7 | 8 9 | 3 6 | 5 4 | 1 | |---+ | +---+-------+ | | | 4 | 6 | 2 | 1 9 8 3 7 | 5 | | | | +-----------+---+---+ | | 5 | 8 | 1 | 6 4 3 | 2 | 9 7 | | | | | | | | | 6 | 4 | 5 | 8 7 1 | 9 | 3 2 | | +---+---+-------+ | | | | 1 3 9 | 2 8 | 5 | 7 | 6 4 | | | | | +-------| | 8 2 7 | 3 1 | 9 | 4 5 6 | |-----------+ | | | | 7 9 4 5 6 | 2 | 8 1 3 | +-----------------------------------+ Solution: 19 +-----------------------------------+ | 8 3 2 5 | 6 9 1 7 4 | | +-------+-----------+ | | 4 7 | 5 9 1 6 2 | 8 3 | | +---+ +-----------+---+ | | 6 | 9 | 3 4 | 7 5 8 1 | 2 | | | | +---+-------+ | | | 1 | 2 | 7 | 6 9 8 | 4 3 | 5 | | | | | +---+ +---| | 9 | 5 | 8 | 3 4 7 | 6 | 2 | 1 | |---+ +---+ | | | | | 3 | 8 4 | 2 5 1 | 9 | 6 | 7 | | | +-------+---+ | | | | 2 | 1 6 7 3 | 4 5 | 9 | 8 | | +---+-----------+ +---+ | | 5 6 | 1 8 2 3 7 | 4 9 | | +-----------+-------+ | | 7 4 9 1 8 | 2 3 5 6 | +-----------------------------------+ Solution: 20 +-----------------------------------+ | 8 2 4 1 | 9 5 3 6 7 | | +-------+-----------+ | | 9 6 | 1 5 7 3 2 | 4 8 | | +---+-----------+ +---+ | | 3 | 4 2 7 6 | 8 9 | 5 | 1 | | | +-------+---+ | | | | 7 | 9 3 | 8 5 4 | 6 | 1 | 2 | | | +---+ | | +---| | 5 | 1 | 8 | 6 2 7 | 4 | 3 | 9 | |---+ | | +---+ | | | 4 | 8 | 6 | 3 1 9 | 7 2 | 5 | | | | +---+-------+ | | | 1 | 5 | 7 2 | 4 6 8 9 | 3 | | +---+ +-----------+---+ | | 2 7 | 9 4 3 1 5 | 8 6 | | +-----------+-------+ | | 6 3 5 9 8 | 2 1 7 4 | +-----------------------------------+ Solution: 21 +-----------------------------------+ | 1 9 | 4 3 5 | 2 8 7 6 | | +---+ | | | 8 2 7 | 6 9 | 5 4 1 3 | | | +-----------+ | | 5 4 6 | 8 7 | 3 1 2 | 9 | |-------+ | +---+ +---| | 9 7 | 3 | 1 2 | 8 | 6 4 5 | | +---+-------+ | | | 6 3 | 5 2 4 1 | 7 9 8 | | | +---+-------| | 2 1 | 9 7 3 6 | 5 | 8 4 | | +---+---+-------+ | | | 4 5 8 | 9 | 6 7 2 | 3 1 | |-----------+ | | | | 7 6 1 4 | 8 9 3 | 5 2 | | | +---+ | | 3 8 2 5 | 1 4 | 9 6 7 | +-----------------------------------+ Solution: 22 +-----------------------------------+ | 5 4 | 1 6 7 3 | 2 9 8 | | | | | | 3 6 | 4 8 2 9 | 1 7 5 | | | +-------+---+ | | 1 9 | 5 | 2 8 | 7 | 4 6 3 | | +---+ | +-----------| | 8 7 2 | 3 1 | 6 5 4 9 | |-----------+ | | | 7 5 6 | 9 4 | 8 3 2 1 | | | +---+-----------| | 4 1 3 | 7 6 5 | 9 8 2 | | +---+-------+---+ | | 2 8 9 | 5 | 3 4 7 | 1 6 | |-----------+ | | | | 6 3 7 1 | 9 2 8 | 5 4 | | | | | | 9 2 8 4 | 5 1 6 | 3 7 | +-----------------------------------+ Solution: 23 +-----------------------------------+ | 9 5 | 2 8 6 7 | 3 1 4 | | | | | | 4 2 | 3 9 5 1 | 7 8 6 | | | +-----------+ | | 6 7 | 4 | 1 3 8 | 5 9 2 | | +---+ +---+-----------| | 3 1 8 | 6 9 | 4 2 7 5 | |-----------+ | | | 5 4 9 | 7 2 | 6 1 3 8 | | | | +-----------| | 7 3 6 | 5 4 | 9 | 8 2 1 | | +---+---+---+---+ | | 2 8 1 | 4 | 7 5 9 | 6 3 | |-----------+ | | | | 1 6 7 2 | 8 3 4 | 5 9 | | | | | | 8 9 5 3 | 1 2 6 | 4 7 | +-----------------------------------+ Solution: 24 +-----------------------------------+ | 1 2 | 4 5 7 3 | 6 8 9 | | | | | | 4 5 | 2 6 8 9 | 1 3 7 | | +-----------+ | | | 7 9 | 3 8 6 | 1 | 4 5 2 | | +---+ +---+-----------| | 6 3 8 | 9 5 | 7 2 1 4 | |-----------+ | | | 2 8 7 | 1 4 | 5 3 9 6 | | | | +-----------| | 3 6 1 | 7 2 | 8 | 9 4 5 | | +---+---+---+---+ | | 9 4 5 | 2 | 3 6 8 | 7 1 | |-----------+ | | | | 5 1 6 3 | 9 4 7 | 2 8 | | | | | | 8 7 9 4 | 1 2 5 | 6 3 | +-----------------------------------+ Solution: 25 +-----------------------------------+ | 5 8 | 7 3 9 | 6 4 2 1 | | | | | | 7 4 | 1 6 2 | 8 5 9 3 | | | | +-----------| | 2 3 | 5 4 8 | 7 | 1 6 9 | | +---+-------+---+ | | 6 1 9 | 8 7 3 | 2 5 4 | |-----------+ | | | 1 6 2 | 9 4 5 | 3 7 8 | | | +-----------| | 8 7 4 | 2 6 1 | 9 3 5 | | +---+-------+---+ | | 9 5 3 | 7 | 1 4 6 | 8 2 | |-----------+ | | | | 3 9 8 1 | 5 2 7 | 4 6 | | | | | | 4 2 6 5 | 3 9 8 | 1 7 | +-----------------------------------+ Solution: 26 +-----------------------------------+ | 3 | 5 8 1 4 | 9 2 6 7 | | +-----------+ | +-------+ | | 4 8 5 7 | 9 | 3 | 6 2 | 1 | | | | | | | | 2 1 6 9 | 3 | 5 | 4 7 | 8 | |-------+-------+ +---+ | | | 8 3 | 7 2 6 | 1 | 5 9 | 4 | | +-----------+ | +---| | 5 6 | 9 4 2 7 | 1 8 3 | | | +-----------| | 9 4 | 3 6 5 8 | 7 1 2 | | +---+---+-------+-------+ | | 7 2 1 | 3 | 8 6 9 4 | 5 | |-----------+ | | | | 1 9 4 8 | 7 2 3 5 | 6 | | | +-----------+ | | 6 7 2 5 | 1 | 4 8 3 9 | +-----------------------------------+ Solution: 27 +-----------------------------------+ | 8 | 7 2 1 6 3 | 4 5 9 | | | +---+-------+ | | 6 | 8 4 | 3 | 5 9 | 7 2 1 | | | | | | | | 1 | 5 9 | 2 | 4 7 | 6 3 8 | | +-------+ | +-----------| | 4 9 5 | 7 | 3 6 8 1 2 | | | +-------+-----------| | 7 2 3 | 6 8 5 | 1 9 4 | |-----------+ | | | 5 3 7 | 9 1 4 | 2 8 6 | | +-------+---+-------+ | | 9 6 1 | 8 7 | 2 5 4 | 3 | | | | | | | 2 4 8 | 5 9 | 1 3 6 | 7 | |-----------+ | | | | 3 1 6 4 2 | 8 9 7 | 5 | +-----------------------------------+ Solution: 28 +-----------------------------------+ | 3 | 4 7 9 6 1 | 2 5 8 | | | +-----------+ | | 1 | 5 2 | 6 7 8 | 3 4 9 | | | | | | | 2 | 3 8 | 5 4 9 | 1 6 7 | | +-------+ +-------+-----------| | 7 8 5 | 1 | 9 3 4 2 6 | | | | +-----------| | 9 6 4 | 3 | 1 5 | 7 8 2 | |-----------+ | | | | 5 1 3 | 2 | 8 7 | 6 9 4 | | +---+---+---+-------+ | | 8 2 9 | 4 3 | 6 5 7 | 1 | | | | | | | 4 7 6 | 8 5 | 2 9 1 | 3 | |-----------+ | | | | 6 9 1 7 2 | 4 8 3 | 5 | +-----------------------------------+ Solution: 29 +-----------------------------------+ | 6 | 7 3 9 8 1 | 4 2 5 | | +-----------+ | | | 8 | 5 4 1 | 2 6 | 3 9 7 | | | | | | | 7 | 2 9 3 | 5 4 | 8 6 1 | | +-------+ +-------+-----------| | 4 3 5 | 6 | 1 7 2 8 9 | | | | +-----------| | 9 1 2 | 8 | 4 3 | 5 7 6 | |-----------+ | | | | 2 4 8 | 7 | 6 5 | 9 1 3 | | +---+---+---+-------+ | | 5 6 7 | 2 3 | 9 1 4 | 8 | | | | | | | 3 9 1 | 4 7 | 8 6 5 | 2 | |-----------+ | | | | 1 8 6 5 9 | 2 7 3 | 4 | +-----------------------------------+ Solution: 30 +-----------------------------------+ | 3 | 5 8 6 | 7 2 4 9 1 | | | | +-----------| | 7 | 2 9 3 | 8 5 | 1 6 4 | | | | | | | 2 | 1 7 4 | 3 6 | 8 5 9 | | +-------+---+-------+ | | 4 6 1 | 9 5 8 | 3 7 2 | | | +-----------| | 8 9 5 | 1 6 7 | 2 4 3 | |-----------+ | | | 5 8 6 | 2 4 3 | 9 1 7 | | +-------+---+-------+ | | 9 4 3 | 5 2 | 1 7 8 | 6 | | | | | | | 1 7 2 | 8 9 | 4 6 3 | 5 | |-----------+ | | | | 6 3 4 7 1 | 9 5 2 | 8 | +-----------------------------------+ Solution: 31 +-----------------------------------+ | 6 | 7 9 4 2 5 | 8 3 1 | | | +---+-------+ +-------| | 3 | 6 1 | 9 | 5 2 7 | 8 4 | | | | | | | | 5 | 8 3 | 7 | 4 9 6 | 1 2 | | +-------+ +-----------+ | | 8 2 4 | 1 | 6 7 3 5 9 | | | +-------+-------+---| | 9 1 7 | 5 3 4 | 2 6 | 8 | |-----------+ | | | | 1 4 5 | 2 8 6 | 9 7 | 3 | |-------+ +-------+---+ | | | 2 3 | 6 8 9 | 1 5 4 | 7 | | | | +-------+ | | 4 5 | 2 3 7 | 8 | 1 9 6 | | +-----------+ | | | 7 9 8 6 1 | 3 | 4 2 5 | +-----------------------------------+ Solution: 32 +-----------------------------------+ | 9 | 7 2 1 4 6 | 3 5 8 | | | +---+-------+ | | 4 | 5 3 | 7 | 9 8 | 2 1 6 | | | | | +---+ | | 6 | 8 9 | 5 | 3 2 1 | 7 4 | | +-------+ | +---+ | | 3 1 8 | 2 | 6 7 5 4 | 9 | | | +-------+-------+---| | 5 2 7 | 6 8 3 | 4 9 1 | |-----------+ | | | 7 6 5 | 4 1 9 | 8 3 2 | | +-------+---+---+ | | 8 9 4 | 3 2 | 1 7 | 6 5 | | +---+ | +---+ | | 1 3 | 6 8 5 | 4 9 2 | 7 | | +---+ | +---| | 2 | 4 1 9 7 | 5 6 8 3 | +-----------------------------------+