skeeter84
Posted on: Sun Feb 09, 2020 12:01 am
Posts: 136 Joined: Tue Apr 24, 2012 7:47 pm
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-4 to 4 puzzle combos
A little over two months ago, beaker had been struggling with a -1 to 4 bonus puzzle which went unsolved due to lack of a table. Several years ago, I myself had a -2 to 3 puzzle (IIRC) that I let go of for the same reason. That said, I present you with tables for -4 to 4 puzzles. First, though, there are 3 major things to watch out for:
A) These tables ONLY include -4 to 4 inclusive B) I did NOT include cages with 4 or more cells C) I ONLY included combos for addition and subtraction
I've been reading in the forum that there are different "flavors" of puzzles involving negative numbers. -1 to 3? Voila, you're covered! -2 to 4? You're good to go! -3 to 3? Bingo! -4 to 1? Bada bing, bada boom, everything's hunky dory! -5 to 7? Well..... unfortunately, no, I cannot help with THAT (not completely, anyhow). At any rate, though, I hope you enjoy and are helped by these tables.
skeeter84
2 cell subtraction
-8: [-4, 4] -7: [-4, 3]; [-3, 4] -6: [-4, 2]; [-3, 3]; [-2, 4] -5: [-4, 1]; [-3, 2]; [-2, 3]; [-1, 4] -4: [-4, 0]; [-3, 1]; [-2, 2]; [-1, 3]; [0, 4] -3: [-4, -1]; [-2, 1]; [-3, 0]; [-1, 2]; [0, 3]; [1, 4] -2: [-4, -2]; [-3, -1]; [-2, 0]; [-1, 1]; [0, 2]; [1, 3]; [2, 4] -1: [-4, -3]; [-3, -2]; [-2, -1]; [-1, 0]; [0, 1]; [1, 2]; [2, 3]; [3, 4] 1: [-3, -4]; [-2, -3]; [-1, -2]; [0, -1]; [1, 0]; [2, 1]; [3, 2]; [4, 3] 2: [-2, -4]; [-1, -3]; [0, -2]; [1, -1]; [2, 0]; [3, 1]; [4, 2] 3: [-1, -4]; [0, -3]; [1, -2]; [2, -1]; [3, 0]; [4, 1] 4: [0, -4]; [1, -3]; [2, -2]; [3, -1]; [4, 0] 5: [1, -4]; [2, -3]; [3, -2]; [4, -1] 6: [2, -4]; [3, -3]; [4, -2] 7: [3, -4]; [4, -3] 8: [4, -4]
2 cell addition
-7: [-4, -3] -6: [-4, -2] -5: [-4, -1]; [-3, -2] -4: [-4, 0]; [-3, -1] -3: [-4, 1]; [-3, 0]; [-2, -1] -2: [-4, 2]; [-3, 1]; [-2, 0] -1: [-4, 3]; [-3, 2]; [-2, 1]; [-1, 0] 0: [-4, 4]; [-2, 2]; [-3, 3]; [-1, 1] 1: [-3, 4]; [-2, 3]; [-1, 2]; [0, 1] 2: [-2, 4]; [-1, 3]; [0, 2] 3: [-1, 4]; [0, 3]; [1, 2] 4: [0, 4]; [1, 3] 5: [1, 4]; [2, 3] 6: [2, 4] 7: [3, 4]
3 cell subtraction
12: [4, -4, -4] 11: [3, -4, -4]; [4, -4, -3] 10: [2, -4, -4]; [3, -3, -4]; [4, -3, -3]; [4, -4, -2] 9: [1, -4, -4]; [2, -4, -3]; [3, -2, -4]; [3, -3, -3]; [4, -3, -2]; [4, -4, -1]
8: [0, -4, -4]; [1, -3, -4]; [2, -3, -3]; [2, -2, -4]; [3, -3, -2]; [3, -1, -4]; [4, -3, -1]; [4, -4, 0]; [4, -2, -2]
7: [-1, -4, -4]; [0, -3, -4]; [1, -3, -3]; [1, -2, -4]; [2, -2, -3]; [2, -1, -4]; [3, -2, -2]; [3, -3, -1]; [3, -4, 0]; [4, -3, 0]; [4, -4, 1]; [4, -2, -1]
6: [-2, -4, -4]; [-1, -3, -4]; [0, -2, -4]; [0, -3, -3]; [1, -1, -4]; [1, -2, -3]; [2, -3, -1]; [2, -4, 0]; [2, -2, -2]; [3, -3, 0]; [3, 1, -4]; [3, -2, -1]; [4, -3, 1]; [4, -4, 2]; [4, -1, -1]; [4, -2, 0]
5: [-3, -4, -4]; [-2, -3, -4]; [-1, -2, -4]; [-1, -3, -3]; [0, -1, -4]; [0, -2, -3]; [1, -4, 0]; [1, -1, -3]; [1, -2, -2]; [2, -3, 0]; [2, -2, -1]; [2, 1, -4]; [3, -3, 1]; [3, -1, -1]; [3, -2, 0]; [3, 2, -4]; [4, -3, 2]; [4, -4, 3]; [4, -1, 0]; [4, -2, 1] 4: [-3, -3, -4]; [-2, -3, -3]; [-2, -2, -4]; [-1, -2, -3]; [-1, -1, -4]; [0, -2, -2]; [0, -3, -1]; [0, 0, -4]; [1, -3, 0]; [1, -1, -2]; [1, 1, -4]; [2, -3, 1]; [2, -1, -1]; [2, -2, 0]; [2, 2, -4]; [3, -3, 2]; [3, -1, 0]; [3, -2, 1]; [3, 3, -4]; [4, 2, -2]; [4, 1, -1]; [4, 0, 0]; [4, 3, -3]; [4, 4, -4]
3: [-4, -4, -3]; [-3, -4, -2]; [-2, -2, -3]; [-2, -1, -4]; [-1, -2, -2]; [-1, -4, 0]; [-1, -1, -3]; [0, -1, -2]; [0, 1, -4]; [0, 0, -3]; [1, -1, -1]; [1, -2, 0]; [1, 2, -4]; [1, 1, -3]; [2, -1, 0]; [2, -2, 1]; [2, 2, -3]; [2, 3, -4]; [3, 0, 0]; [3, 4, -4]; [3, 3, -3]; [3, 2, -2]; [3, 1, -1]; [4, 2, -1]; [4, 1, 0]; [4, 3, -2]; [4, 4, -3] 2: [-4, -4, -2]; [-4, -3, -3]; [-3, -3, -2]; [-3, -1, -4]; [-2, -4, 0]; [-2, -3, -1]; [-1, -3, 0]; [-1, 1, -4]; [-1, -1, -2]; [0, -1, -1]; [0, 2, -4]; [0, 1, -3]; [0, 0, -2]; [1, -1, 0]; [1, 3, -4]; [1, 2, -3]; [1, 1, -2]; [2, 0, 0]; [2, 4, -4]; [2, 3, -3]; [2, 2, -2]; [2, 1, -1]; [3, -3, 4]; [3, 1, 0]; [3, 2, -1]; [3, 3, -2]; [4, 2, 0]; [4, 1, 1]; [4, 4, -2]; [4, 3, -1] 1: [-4, -4, -1]; [-4, -3, -2]; [-3, -4, 0]; [-3, -3, -1]; [-3, -2, -2]; [-2, -3, 0]; [-2, -2, -1]; [-2, 1, -4]; [-1, -2, 0]; [-1, 2, -4]; [-1, 1, -3]; [0, 3, -4]; [0, 2, -3]; [0, 1, -2]; [0, 0, -1]; [1, 0, 0]; [1, 4, -4]; [1, 3, -3]; [1, 2, -2]; [1, 1, -1]; [2, -3, 4]; [2, -2, 3]; [2, 2, -1]; [2, 1, 0]; [3, 3, -1]; [3, 2, 0]; [3, 1, 1]; [3, 4, -2]; [4, 2, 1]; [4, 4, -1]; [4, 3, 0] 0: [-4, -4, 0]; [-4, -3, -1]; [-4, -2, -2]; [-3, -3, 0]; [-3, -2, -1]; [-3, 1, -4]; [-2, -3, 1]; [-2, -1, -1]; [-2, -2, 0]; [-2, 2, -4]; [-1, 2, -3]; [-1, 1, -2]; [-1, -1, 0]; [-1, 3, -4]; [0, 3, -3]; [0, 2, -2]; [0, 1, -1]; [0, 4, -4]; [1, -1, 2]; [1, -2, 3]; [1, -3, 4]; [1, 1, 0]; [2, -2, 4]; [2, 3, -1]; [2, 2, 0]; [2, 1, 1]; [3, -1, 4]; [3, 3, 0]; [3, 2, 1]; [4, 2, 2]; [4, 4, 0]; [4, 3, 1] -1: [-4, -4, 1]; [-4, -3, 0]; [-4, -2, -1]; [-3, -4, 2]; [-3, -3, 1]; [-3, -2, 0]; [-3, -1, -1]; [-2, -4, 3]; [-2, -1, 0]; [-2, -2, 1]; [-2, 2, -3]; [-1, -2, 2]; [-1, -3, 3]; [-1, -4, 4]; [-1, 0, 0]; [-1, -1, 1]; [0, -3, 4]; [0, -2, 3]; [0, -1, 2]; [0, 0, 1]; [1, -1, 3]; [1, -2, 4]; [1, 2, 0]; [2, -1, 4]; [2, 3, 0]; [2, 2, 1]; [3, 3, 1]; [3, 2, 2]; [3, 4, 0]; [4, 4, 1]; [4, 3, 2] -2: [-4, -4, 2]; [-4, -3, 1]; [-4, -2, 0]; [-4, -1, -1]; [-3, -3, 2]; [-3, -2, 1]; [-3, -1, 0]; [-3, 3, -4]; [-2, -3, 3]; [-2, -4, 4]; [-2, 0, 0]; [-2, -1, 1]; [-2, -2, 2]; [-1, -2, 3]; [-1, -3, 4]; [-1, 1, 0]; [-1, -1, 2]; [0, -2, 4]; [0, 3, -1]; [0, 1, 1]; [0, 0, 2]; [1, -1, 4]; [1, 1, 2]; [1, 3, 0]; [2, 3, 1]; [2, 4, 0]; [3, 3, 2]; [3, 1, 4]; [4, 4, 2]; [4, 3, 3] -3: [-4, -4, 3]; [-4, -3, 2]; [-4, -2, 1]; [-4, -1, 0]; [-3, -4, 4]; [-3, -3, 3]; [-3, -2, 2]; [-3, -1, 1]; [-3, 0, 0]; [-2, -3, 4]; [-2, -2, 3]; [-2, 1, 0]; [-2, 2, -1]; [-1, -2, 4]; [-1, 1, 1]; [-1, -1, 3]; [-1, 2, 0]; [0, -1, 4]; [0, 1, 2]; [0, 0, 3]; [1, 1, 3]; [1, 2, 2]; [1, 4, 0]; [2, 2, 3]; [2, 1, 4]; [3, 2, 4]; [4, 4, 3] -4: [-4, -4, 4]; [-4, -3, 3]; [-4, -2, 2]; [-4, -1, 1]; [-4, 0, 0]; [-3, -3, 4]; [-3, 1, 0]; [-3, 2, -1]; [-3, 3, -2]; [-2, -2, 4]; [-2, 1, 1]; [-2, 2, 0]; [-2, 3, -1]; [-1, 1, 2]; [-1, -1, 4]; [-1, 3, 0]; [0, 0, 4]; [0, 2, 2]; [0, 3, 1]; [1, 1, 4]; [1, 2, 3]; [2, 2, 4]; [2, 3, 3]; [3, 3, 4] -5: [-4, 1, 0]; [-4, 4, -3]; [-4, 3, -2]; [-4, 2, -1]; [-3, 1, 1]; [-3, 2, 0]; [-3, 3, -1]; [-3, 4, -2]; [-2, 2, 1]; [-2, 3, 0]; [-2, 4, -1]; [-1, 4, 0]; [-1, 3, 1]; [-1, 2, 2]; [0, 4, 1]; [0, 3, 2]; [1, 3, 3]; [1, 4, 2]; [2, 4, 3]; [3, 4, 4] -6: [-4, 1, 1]; [-4, 4, -2]; [-4, 3, -1]; [-4, 2, 0]; [-3, 3, 0]; [-3, 2, 1]; [-3, 4, -1]; [-2, 2, 2]; [-2, 3, 1]; [-2, 4, 0]; [-1, 4, 1]; [-1, 3, 2]; [0, 4, 2]; [0, 3, 3]; [1, 4, 3]; [2, 4, 4]
-7: [-4, 4, -1]; [-4, 3, 0]; [-4, 2, 1]; [-3, 2, 2]; [-3, 3, 1]; [-3, 4, 0]; [-2, 2, 3]; [-2, 4, 1]; [-1, 3, 3]; [-1, 4, 2]; [0, 4, 3]; [1, 4, 4] -8: [-4, 4, 0]; [-4, 3, 1]; [-4, 2, 2]; [-3, 1, 4]; [-3, 3, 2]; [-2, 2, 4]; [-2, 3, 3]; [-1, 3, 4]; [0, 4, 4]
-9: [-4, 4, 1]; [-4, 3, 2]; [-3, 3, 3]; [-3, 2, 4]; [-2, 3, 4]; [-1, 4, 4] -10: [-4, 4, 2]; [-4, 3, 3]; [-3, 3, 4]; [-2, 4, 4] -11: [-4, 4, 3]; [-3, 4, 4] -12: [-4, 4, 4]
3 cell addition
-11: [-3, -4, -4] -10: [-3, -3, -4]; [-2, -4, -4] -9: [-2, -3, -4]; [-1, -4, -4] -8: [-2, -3, -3]; [-2, -2, -4]; [-1, -3, -4]; [0, -4, -4] -7: [-2, -2, -3]; [-1, -2, -4]; [-1, -3, -3]; [0, -3, -4]; [1, -4, -4] -6: [-1, -1, -4]; [-1, -2, -3]; [0, -3, -3]; [0, -2, -4]; [1, -3, -4]; [2, -4, -4]
-5: [-1, -2, -2]; [-1, -1, -3]; [0, -2, -3]; [0, -1, -4]; [1, -2, -4]; [1, -3, -3]; [2, -3, -4]; [3, -4, -4]
-4: [-1, -1, -2]; [0, -2, -2]; [0, -1, -3]; [0, 0, -4]; [1, -2, -3]; [1, -1, -4]; [2, -2, -4]; [2, -3, -3]; [3, -3, -4]; [4, -4, -4]
-3: [-3, -4, 4]; [0, -1, -2]; [0, 0, -3]; [0, 1, -4]; [1, -2, -2]; [1, -1, -3]; [2, -2, -3]; [2, -1, -4]; [3, -3, -3]; [3, -2, -4] -2: [-2, -3, 3]; [-2, -4, 4]; [0, 0, -2]; [0, -1, -1]; [0, 1, -3]; [0, 2, -4]; [1, -1, -2]; [1, 1, -4]; [2, -2, -2]; [2, -1, -3]; [3, -1, -4]; [4, -3, -3] -1: [-2, -3, 4]; [-1, -2, 2]; [-1, -3, 3]; [-1, -4, 4]; [0, 0, -1]; [0, 1, -2]; [0, 2, -3]; [0, 3, -4]; [1, -1, -1]; [1, 1, -3]; [1, 2, -4]; [3, -2, -2] 0: [-2, -2, 4]; [-1, -2, 3]; [-1, -3, 4]; [-1, -1, 2]; [0, 3, -3]; [0, 2, -2]; [0, 1, -1]; [0, 4, -4]; [1, 1, -2]; [1, 2, -3]; [1, 3, -4]; [2, 2, -4] 1: [-1, -2, 4]; [-1, 1, 1]; [0, 3, -2]; [0, 2, -1]; [0, 0, 1]; [0, 4, -3]; [1, 4, -4]; [1, 3, -3]; [1, 2, -2]; [2, 2, -3]; [2, 3, -4]; [3, -1, -1] 2: [-4, 3, 3]; [-3, 1, 4]; [-2, 2, 2]; [-2, 1, 3]; [-1, 1, 2]; [0, -1, 3]; [0, 1, 1]; [0, 4, -2]; [2, 0, 0]; [2, 3, -3]; [2, 4, -4]; [4, -1, -1]
3: [-3, 2, 4]; [-3, 3, 3]; [-2, 2, 3]; [-2, 1, 4]; [-1, 0, 4]; [-1, 1, 3]; [-1, 2, 2]; [0, 1, 2]; [3, 0, 0]; [3, 4, -4]
4: [-4, 4, 4]; [-3, 3, 4]; [-2, 2, 4]; [-2, 3, 3]; [-1, 1, 4]; [-1, 2, 3]; [0, 2, 2]; [0, 1, 3]; [0, 0, 4]; [1, 1, 2]
5: [-3, 4, 4]; [-2, 3, 4]; [-1, 2, 4]; [-1, 3, 3]; [0, 1, 4]; [0, 2, 3]; [1, 2, 2]; [1, 1, 3]
6: [-2, 4, 4]; [-1, 3, 4]; [0, 2, 4]; [0, 3, 3]; [1, 2, 3]; [1, 1, 4] 7: [-1, 4, 4]; [0, 3, 4]; [1, 2, 4]; [1, 3, 3]; [2, 2, 3] 8: [0, 4, 4]; [1, 3, 4]; [2, 2, 4]; [2, 3, 3] 9: [1, 4, 4]; [2, 3, 4] 10: [2, 4, 4]; [3, 3, 4] 11: [3, 4, 4]
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