by **maria45** » Wed Jul 26, 2006 2:53 pm

Hm, maybe I get famous...:

Solution to #89:

f1=9, e1=5, d9=5, d8=6, row4!=9 > f1!=9, d3=3

c5=2, (ab6=78, a5=6, c4=5, b4=9, a8=2, b7=7, ab9=4, b6=8, a6=7, b3=2, k2=2, gh3=6, (a1=1, a9=9, g8=9, k8=4, k5=3, k1=nil contradiction >)a2=1, k1=1, (g2=4, gh3=3, e3!=3 or f2=4, ef1=35, e3!=3>)e3!=3, gh3=3, g2=4, e3=4, a3=8, c2=3, k8=4, h4=4, k4=6, k5=3, g5=5, g6=1, h6=2, e4=2, h7=1, e16=35, e7=8, k7=nil contradiction >) c5!=2

h3=2 or k2=2, a5=2,b3=2 > a3!=2

k5=2 or a5=2, c8=2, b3=2, k2=2 > k4!=2

c8=2 or a8=2, k5=2, h3=2, c2=2 > c5!=2

a5=2 or k5=2, h3=2, b46=2 > a6!=2

c4=8, (c5=5, a6=7, b6=2, a5=6, b7=7, b4=9, a3b13=468, g6=5, k5=2, e4=2, h3=2, f45=4, b13=6, gh2=4, df2=78, e8=7, (a2=1, a1=9, gk2=34, g3=6, ab39=48 non-unique contradiction >)a2=2, c2=3, c1=9, a1=1, c7=6, c8=2, f7=9, f8=8, k7=8, k1=3, e6=8, e7=1, d8=6, de9=35, h7=3, h6=1, box5!=1 contradiction >) c4!=8

b4=8, (a6=7, b6=2, a5=6, c5=5, c4=9, b7=7, g6=5, k9=2, h3=2, e4=2, f45=4, (a3=4, b9=4, e1=4, f1=5, f4=4, row8!=4 contradiction >) a3=8, (a2=1, a8=2, ab9=4, c2=2, c1=3, f1=5, f4=4, row8!=4 contradiction >) a1=1, b1=9, (a2=4, b9=4, c2=2, c1=3, f1=5, f4=4, row8!=4 contradiction >) a2=2, c2=3, c1=6, g3=6, b3=4, e3=3, e1=4, k1=3, f1=5, c8=2, c7=8, k8=8, b9=6, d8=6, f7=9, f8=7, e8=1, e7=3 contradiction with e3=3 >)b4!=8, ab6=8

b4=2, (c4=9, c5=5, g6=5, e6=2, k5=2, h3=2, a5=6, ab6=7, (a2=1, c2=2, c1=3, c78=68, ab9=49, g25=34, g3=6, g9=9 contradiction with ab9=49 >) a1=1, b1=9, (k1=6, h4=6, h9=4, a8=4, b3=4, col3!=5 contradiction >) k1!=6, g3=6, e3=3, c1=6, c2=3, a2=2, c7=8, c8=2, k8=8, f7=9, f8=7, e8=1, e7=3 contradiction with e3=3 >) b4!=2

a5=2 or k5=2, h3=2, b6=2, a6=8, a5=7 > a5!=6

a2=8, (a1=1, a6=7, a5=2, c8=2, b3=2, k2=2, b6=8, a89=9, b7=7, c7=8, c2=3, g2=1, f2=4, d2=7, f5=7, e3=8, e4=4, ef1=35, f7=9, f8=8, box9!=8 >) a2!=8

c2=3, df2=78 or c1=3, ef1=45 > f2!=4

a8=7, (c8=2, a5=2, a6=8, b6=7, b3=2, k2=2, ab9=4, c2=8, e3=8, c1=3, ef1=45, df2=37, e8=1, b14=69, b7=8, b9=4, agh9=369, de9=58, d8=6, f8=9, g9=9, c7=9, b4=9, b1=6, a1=9, , a2=1, a3=4, a9=6, h9=3, k1=1, g2=4, h3=6, g3=3, k8=4, k7=8 contradiction with b7=8 >) a8!=7, b7=7

c8=2 or a8=2, a5=7, a6=8, b6=2, c2=2, c1=3, ef1=45, b3=8, e3=3, e4=2, e789=8, h3=2, ab9=4, h4=4, k5=2, k14=16, f5=4, f7=3, k7=8, c8=8 > c8=28

c7=8, (c8=2, c2=3, b149=469, hk7=6, k8=8, f7=9, f8=7, e8=1, d8=6, e7=3, f2=8, e3=4, d2=7, e1=5, f1=3, e6=7, a6=8, b6=2, e4=2, b3=8, a3=6, c1=9, b1=4, h3=2, g3=3, ag89=49 non-unique (or additionally k17=16, k4=4, h9=4, ah9=9 contradiction)>) c7!=8, c457=569, c1=3, ef1=45, b14=69

e3=8 or e3=3, df2=8, c2=2, a8=2, a5=7, a6=8 > a3!=8

f7=9 or f8=9, c7=9, b4=9, a1=9, b1=6, a3=4, b9=4, h4=4, f5=4, f2=7, f7=3 > f7!=8

c7=6 or c7=9, b4=9, b1=6, a3=4, b9=4, h4=4, k14=16 > k7!=6

c7=6, b4=6 or c7=9, b4=9, b1=6, a1=9, k1=1, f7=3, k7=8, a3=4, b9=4, h4=4, k4=6 > c4!=6, h4!=6

c8=2, c2=8, e3=8 or a8=2, c8=8, k7=8, b6=2, e4=2 > e478!=8, k7=8, k25=23

a8=2 or c8=2, c2=8, e3=8, gh3=3, k5=3, a5=2 > a2!=2

b3=2 or c2=2, c8=8, b9=4 > b3!=4, b9=4

k2=3 or k2=2, c2=8, df2=37 > g2!=3

c7=6 or c7=9, b4=9, b1=6, a3=4, g2=4, k8=4, h4=4, f5=4, e4=2, k1=1, k4=6, d4=1, c4=5, f4=8, f8=9, g9=9, f7=3, e7=1, e8=7, h7=6, h9=3, g8=1, h6=1, b6=2, b3=8, e3=3, e9=8, a9=6 > a8!=6

k5=3 or k5=2, b6=2, b3=8, e3=3, c2=2, k2=3, h3=2, h4=4, f5=4, e9=8, f7=3, d9=5, d8=6, f1=5, f4=8, f2=7, d2=8, d4=1, a5=7, d5=3 > fg5!=3

f2=3 or f7=3, f8=9, c7=9, b4=9, b1=6, a3=4, h4=4, f5=4, f2=7 > f2!=8

f7=9, f2=3, k5=3 or f8=9, c7=9, a9=6, h9=3 > h6!=3

a3=6, (k1=6, g5=6, c7=6, h9=6, d8=6, f7=9, b4=6, b1=9, a1=1, a2=4, g2=1, c5=5, g6=5, k5=3, d5=7, f5=4, a5=2, b3=2, k2=2, c2=8, e3=8, a6=7, f1=5, f4=8, f8=7, f2=3, d2=nil contradiction >) a3=4, which solves the remaining numbers.

Greetings, Maria