📝📝📝🤔
-
-
-
@r10pez10 1A is 169 or 676
-
I'll grab the easy one, 18A and 18D are both 101.
-
Going only by the one clue, 20D is either 484, 565, 646, 727, or 808.
E: Another low hanging fruit, 15D is either 352 or 390, and 16A is the other one.
-
-
I compiled all the rules into lists by clue number. Hopefully I got it all right.
1A - Multiple of 13
ANDa square number
- 5A == 1AXOR5A == 3A
3A - digit sum of 3A is 27ORdigit_sum of 3D is 27
- 5A == 1AXOR5A == 3A
- 8A == 3AXOR8A == 10A
- 10A is a factor of 3AOR4D is a factor of 3A
5A - 5A == 1AXOR5A == 3A
- 44A == 5AXOR36D == 5A
7A - 1D is primeXOR7A is odd
- 7A == 54AXOR7A == 12A
- 54A == 7AXOR54A == 12A
8A - 8A == 3AXOR8A == 10A
10A - 8A == 3AXOR8A == 10A
- 10A is a factor of 3AOR4D is a factor of 3A
- 38A is a multiple of 10AAND39A is a multiple of 10A
- 43D is a multiple of 10AAND26D is a multiple of 10A
12A - 7A == 54AXOR7A == 12A
- 12A == 54AXOR12A == 48A
- 54A == 7AXOR54A == 12A
14A - 14A is primeNOR14A is a mulitple of a 2-digit prime
16A - Sum of 15D and 16A is 742ANDdifference of 15D and 16A is 38
- 16A == 25AXOR17D == 25A
18A - 18A is a palindromeAND18D is a palindrome
- digit sum of 18A is 2ANDdigit sum of 18D is 2
20A - 20A is primeNOR20A is a multiple of a 2-digit prime
21A - 16D is a multiple of 100XOR21A is a multiple of 100
- digit sum of 16D is 5XORdigit sum of 21A is 5 [compiler's note- doesn't necessarily mean one is 500!]
22A - 22A is a multiple of 5XNOR22A is the product of 1D and 48A
23A - 23A is 6 times 27AAND28D == 19D
24A - 24A is a multiple of 8AND45D is a multiple of 24A
25A - 16A == 25AXOR17D == 25A
27A - 19D is primeXOR27A is prime
- 23A is 6 times 27AAND28D == 19D
29A - 29A == 37AXOR30D is a palindrome
- 29A is primeXOR37A is prime
31A - 1D == 31AOR1D == 41A
33A - 42A is an anagram of 33AAND34D is an anagram of 33D
37A - 29A == 37AXOR30D is a palindrome
- 29A is primeXOR37A is prime
38A - 38A is a multiple of 10AAND39A is a multiple of 10A
39A - 38A is a multiple of 10AAND39A is a multiple of 10A
39A - 35D == 39AAND35D == 35A
- 42A is a multiple of 9XNOR39A is a multiple of 9
40A - 40A is a multiple of 100AND45D is a multiple of 100
- 40A is a multiple of 45DNOR45D is a multiple of 40A
- 40A is squareXNOR45D is square
- 46A is a factor of 40AXOR46A is a factor of 45D
- 47D is a factor of 40AXOR47D is a factor of 45D
41A - 1D == 31AOR1D == 41A
- 32D is a multiple of 41AAND41D is a multiple of 41A
42A - 42A is a multiple of 9XNOR39A is a multiple of 9
- 42A is an anagram of 33AAND34D is an anagram of 33D
44A - 44A == 5AXOR36D == 5A
46A - 46A is a factor of 40AXOR46A is a factor of 45D
48A - 12A == 54AXOR12A == 48A
- 17D and 15D share a factor > 1XNOR17D is product of 1D and 48A
- 22A is a multiple of 5XNOR22A is the product of 1D and 48A
- 48A is cubeAND50A is cube
- 48A is squareAND50A is square
50A - 48A is cubeAND50A is cube
- 48A is squareAND50A is square
52A - 52A is two more tha 55AANDdigit sum of 52A is 3
54A - 7A == 54AXOR7A == 12A
- 12A == 54AXOR12A == 48A
- 54A == 7AXOR54A == 12A
55A - 52A is two more tha 55AANDdigit sum of 52A is 3
56A - 56A is squareXOR56A is cube
57A - 57A is squareXOR57A > 2001D - 1D == 31A
OR1D == 41A
- 1D is primeXOR7A is odd
- 5D == 2DXOR6D == 1D
- 22A is a multiple of 5XNOR22A is the product of 1D and 48A
2D - 2D == 3DOR2D == 4D
- 5D == 2DXOR6D == 1D
3D - 2D == 3DOR2D == 4D
- digit sum of 3A is 27ORdigit_sum of 3D is 27
4D - 2D == 3DOR2D == 4D
- 4D is a cubeXOR9D is a cube
- 4D is a squareXOR11D is a square
- 10A is a factor of 3AOR4D is a factor of 3A
5D - 5D == 2DXOR6D == 1D
6D - 5D == 2DXOR6D == 1D
7D - digit sum of 13D is 17ANDdigit sum of 7D is 17
9D - 4D is a cubeXOR9D is a cube
11D - 4D is a squareXOR11D is a square
13D - digit sum of 13D is 17ANDdigit sum of 7D is 17
15D - Sum of 15D and 16A is 742ANDdifference of 15D and 16A is 38
- 17D and 15D share a factor > 1XNOR17D is product of 1D and 48A
16D - 16D is a multiple of 100XOR21A is a multiple of 100
- digit sum of 16D is 5XORdigit sum of 21A is 5 [compiler's note- doesn't necessarily mean one is 500!]
17D - 16A == 25AXOR17D == 25A
- 17D and 15D share a factor > 1XNOR17D is product of 1D and 48A
18D - 18A is a palindromeAND18D is a palindrome
- digit sum of 18A is 2ANDdigit sum of 18D is 2
19D - 19D is primeXOR27A is prime
- 23A is 6 times 27AAND28D == 19D
20D - 20D is a palindromeANDdigit sum of 20D is 16
24D - digit sum of 24D is 5XNORdigit sum of 49D is 5
26D - 43D is a multiple of 10AAND26D is a multiple of 10A
28D - 23A is 6 times 27AAND28D == 19D
30D - 29A == 37AXOR30D is a palindrome
- digit sum of 37D is 7XORdigit sum of 30D is 7
32D - 32D is a multiple of 41AAND41D is a multiple of 41A
33D - 42A is an anagram of 33AAND34D is an anagram of 33D
34D - 42A is an anagram of 33AAND34D is an anagram of 33D
35D - 35D == 39AAND35D == 35A
36D - 44A == 5AXOR36D == 5A
37D - 37D is primeXORdigit sum of 37D is 5
- 37D's first digit is 1NAND37D's last digit is 1
- digit sum of 37D is 7XORdigit sum of 30D is 7
41D - 32D is a multiple of 41AAND41D is a multiple of 41A
43D - 43D is a multiple of 10AAND26D is a multiple of 10A
45D - 24A is a multiple of 8AND45D is a multiple of 24A
- 40A is a multiple of 100AND45D is a multiple of 100
- 40A is a multiple of 45DNOR45D is a multiple of 40A
- 40A is squareXNOR45D is square
- 46A is a factor of 40AXOR46A is a factor of 45D
- 47D is a factor of 40AXOR47D is a factor of 45D
47D - 47D is a factor of 40AXOR47D is a factor of 45D
49D - digit sum of 24D is 5XNORdigit sum of 49D is 5
- 49D is a multiple of 5XOR50D is a multiple of 5
50D - 49D is a multiple of 5XOR50D is a multiple of 5
52D - 52D is a Fibonacci numberAND53D is a Fibonacci number
- 54D is a Fibonacci numberXOR54D is the sum of 52D and 53D
- 54D == 52DNOR54D == 53D
53D - 52D is a Fibonacci numberAND53D is a Fibonacci number
- 54D is a Fibonacci numberXOR54D is the sum of 52D and 53D
- 54D == 52DNOR54D == 53D
54D - 54D is a Fibonacci numberXOR54D is the sum of 52D and 53D [compiler's note- 52D and 53D don't have to be consecutive Fibonacci numbers]
- 54D == 52DNOR54D == 53D
-
-
-
-
This post is deleted!
-
-
-
-
-
-
-
-
@Vault_Dweller That seems like a good suggestion. I can only find one clue relating to 24D, and that would leave its middle digit unconstrained if 24D's digits don't sum to 5. But that would in turn require the value being multiplied (24A) to start with no larger digit than 4.
I think… Or maybe I've missed something. That's also very possible!
-
-
The fifth clue (The sum of the digits of 3A...) is an easy one
-
21A is 900 and 16D is 302, since 16D can't be the multiple of 100 by the leading zeros rule, and since 21A's digits can't sum up to 5 that leaves the other option. The compiler's note was definitely right on this one.
Since 23A starts with 6 or 7, and 19D XOR 27A is prime...
27A as 113 makes 19D 163, both prime so no go.
19D as 167 doesn't match 26A, no go there either.
19D as 173 is definitely nonsensical.
So that leaves 19D and 28D as 179, 26A as 119, and 23A as 714, Also by cascade of equals 35A, 35D, and 39A all end with 99.
-
This post is deleted!
-
-
-
-
6D ≠ 1D → 5D = 2D → 5A starts with
9→ 5A =999
-
@dkf
Something's wrong here.
-
I got bored and made a checker. Click on a cell to select it, press a number key to set it. Backspace, delete, and - all clear the cell. Arrow keys move the selection around the grid, skipping over the blanks. Escape clears the selection.
There are also regular text inputs for the whole clue/s intersecting the selected cell. Any non-digit character will be treated as empty.
Hints can highlight as correct or incorrect, but only run their check when all of their associated clue numbers are filled.
