Have solved the A63 but didn't have time to do a WT. Looking forward to A64 tomorrow!
As promised, here's a couple of piccies from the day we arrived in the French Alps. Taken at Combloux where there is a natural swimming pool as well as fantastic view of Mont Blanc - highly recommended if you ever get the chance to go there.
A bientot
Cathy x
assassin 63
Assassin 63 V2
Hi all.
This is my first effort to write a walk through. Some of my notation may not be correct or standard. Also, I suspect that there are unneeded entries, as this was a "stream of consciousness" solution. Suggestions welcome.
Here goes for V2....
a. Automatic cleanup after placing each number and locked numbers.
b. Bold print indicates a "celled" number within the cage.
1. R4C89={12}-->R5C89={35}-->R6C89={47}-->R456C7={689}
2. 45 Rule N5 outies sum to 9={36/18}; conflict with R5C89-->R5C7=8 and R5C3=1
3. From Step 2, R5C12={26} and R5C456={479}
4. R4C12={37}-->R6C12={58}-->R46C3={49}; conflict w/ R6C89-->R6C3=9, R6C7=6, R3C7=9, and R3C3=4
5. 45 Rule: R1C4=3, R1C6=4, R9C6=8, and R9C4=6
6. From Step 5, R9C78={13}, R9C23={25}, R1C3=8, and R1C2=9
7. 23(4) Cage N69={6278/6458}–>R8C8=8 and R78C7={27/45}
8. R5C4 no 9 because R4C4 cannot have a {123}; R5C5 no 9 because R4C5 cannot have a {13}–>R5C6=9
9. 25(4) cage N47={9367–>no 7 in R9C1; 22(4) cage N7={1489}
10. 14(4) cage N14={4127/{4235}-->18(4) cage N1= {3456/1467-->18(4) cage N1 must have a {46}-->14(4) cage N14 no 6-->R8C2 no 6-->R48C2={37}; R3C2 no 3, R7C3 no 9, and R1C1 no 34
11. 26(4) cage N56 no 1-->R6C5=1-->R4C5={58} and R6C46={23};conflict w/ R1C4-->R6C4=2, R6C6=3, R4C6=6, and R4C45={58}
12. R1C7={125}-->R1C8={256}
13. R3C456={158/167/257}; If R3C456={257}-->R3C3=3-->R2C23={25}; therefore R3C456<>{257} and R3C3<>3 because UR for 25 at R2C23 and R9C23; R3C46 locked for 1-->R3C12 no 1
14. R7C456={149/239/257/347}; If R7C456={149}-->R7C1 and R7C2=4; therefore R7C456<>{149}; 24(4) cage N9 no 1 because R8C8=8-->R7C12 locked for 1-->killer pair 49 at R89C1-->killer pair 18 at R7C12
15. Hidden single R3C2=4-->R123C1 locked for 6-->R5C1=2 and R5C2=6
16. 26(4) cage N3 no 1-->hidden single R4C9=1-->R4C8=2; R1C7={12}; R1C8={56}
17. 24(4) cage N2={2589/2679} locked for 2 and 9
18. 45 Rule for C7, R23C7 must sum to 8, 9, or 10-->R2C8={34}-->R23C8 must sum to 8 or 9-->R19C7 must sum to 5 or 4-->R9C7=3 and R9C8=1
19. 45 Rule for C8, R37C8 must sum to 13, 15, or 16-->R3C8={679} and R7C8={4679}
20. 45 Rule for R1C159=14={167/257}
21. 24(4) cage N2={2589/2679}; 14(3) cage N2={167/158}-->R3C7 no 1; 26(4) cage N3={2789/3689/4589}; 14(3) cage N8={239/257/347}; 17(4) cage N8={1457/1349/1259}
22. R1C9={2567}-->R3C9={79}-->45 Rule R7C8={469}
23. Eliminate 6 from R1C9 as follows:
23a. If R1C9=6-->R7C8=6-->R7C3<>6 locked pair
23b. If R1C9=6-->R1C8=5-->R1C7=2-->R1C5=7-->R2C4=9 and R5C5=4-->R5C4=7-->R4C4=5-->R7C4=4-->R7C5=3 and R7C6=7-->R7C3=6
23c. Steps 23a and 23b conflict therefore R1C9<>6-->R789C9 locked for 6-->hidden single R1C8=6-->R1C1=5-->18(4) cage N1={3456}
24. 24(4) cage N2={2589}-->14(3) cage N2={167}
25. Singles, cage set reductions, and cage sums to end
This is my first effort to write a walk through. Some of my notation may not be correct or standard. Also, I suspect that there are unneeded entries, as this was a "stream of consciousness" solution. Suggestions welcome.
Here goes for V2....
a. Automatic cleanup after placing each number and locked numbers.
b. Bold print indicates a "celled" number within the cage.
1. R4C89={12}-->R5C89={35}-->R6C89={47}-->R456C7={689}
2. 45 Rule N5 outies sum to 9={36/18}; conflict with R5C89-->R5C7=8 and R5C3=1
3. From Step 2, R5C12={26} and R5C456={479}
4. R4C12={37}-->R6C12={58}-->R46C3={49}; conflict w/ R6C89-->R6C3=9, R6C7=6, R3C7=9, and R3C3=4
5. 45 Rule: R1C4=3, R1C6=4, R9C6=8, and R9C4=6
6. From Step 5, R9C78={13}, R9C23={25}, R1C3=8, and R1C2=9
7. 23(4) Cage N69={6278/6458}–>R8C8=8 and R78C7={27/45}
8. R5C4 no 9 because R4C4 cannot have a {123}; R5C5 no 9 because R4C5 cannot have a {13}–>R5C6=9
9. 25(4) cage N47={9367–>no 7 in R9C1; 22(4) cage N7={1489}
10. 14(4) cage N14={4127/{4235}-->18(4) cage N1= {3456/1467-->18(4) cage N1 must have a {46}-->14(4) cage N14 no 6-->R8C2 no 6-->R48C2={37}; R3C2 no 3, R7C3 no 9, and R1C1 no 34
11. 26(4) cage N56 no 1-->R6C5=1-->R4C5={58} and R6C46={23};conflict w/ R1C4-->R6C4=2, R6C6=3, R4C6=6, and R4C45={58}
12. R1C7={125}-->R1C8={256}
13. R3C456={158/167/257}; If R3C456={257}-->R3C3=3-->R2C23={25}; therefore R3C456<>{257} and R3C3<>3 because UR for 25 at R2C23 and R9C23; R3C46 locked for 1-->R3C12 no 1
14. R7C456={149/239/257/347}; If R7C456={149}-->R7C1 and R7C2=4; therefore R7C456<>{149}; 24(4) cage N9 no 1 because R8C8=8-->R7C12 locked for 1-->killer pair 49 at R89C1-->killer pair 18 at R7C12
15. Hidden single R3C2=4-->R123C1 locked for 6-->R5C1=2 and R5C2=6
16. 26(4) cage N3 no 1-->hidden single R4C9=1-->R4C8=2; R1C7={12}; R1C8={56}
17. 24(4) cage N2={2589/2679} locked for 2 and 9
18. 45 Rule for C7, R23C7 must sum to 8, 9, or 10-->R2C8={34}-->R23C8 must sum to 8 or 9-->R19C7 must sum to 5 or 4-->R9C7=3 and R9C8=1
19. 45 Rule for C8, R37C8 must sum to 13, 15, or 16-->R3C8={679} and R7C8={4679}
20. 45 Rule for R1C159=14={167/257}
21. 24(4) cage N2={2589/2679}; 14(3) cage N2={167/158}-->R3C7 no 1; 26(4) cage N3={2789/3689/4589}; 14(3) cage N8={239/257/347}; 17(4) cage N8={1457/1349/1259}
22. R1C9={2567}-->R3C9={79}-->45 Rule R7C8={469}
23. Eliminate 6 from R1C9 as follows:
23a. If R1C9=6-->R7C8=6-->R7C3<>6 locked pair
23b. If R1C9=6-->R1C8=5-->R1C7=2-->R1C5=7-->R2C4=9 and R5C5=4-->R5C4=7-->R4C4=5-->R7C4=4-->R7C5=3 and R7C6=7-->R7C3=6
23c. Steps 23a and 23b conflict therefore R1C9<>6-->R789C9 locked for 6-->hidden single R1C8=6-->R1C1=5-->18(4) cage N1={3456}
24. 24(4) cage N2={2589}-->14(3) cage N2={167}
25. Singles, cage set reductions, and cage sums to end
Nouggie