The abcdefghppp from wood1986

abcdefghppp's Introduction

Question

  AB
- CD
----
  EF
+ GH
----
 PPP

A, B, C, D, E, F, G, H, P are unique and single digit.
Find all the answers

Filter

  | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 2 | 1 | 0 |
A |   |   |   |   |   |   |   | W | P | U | -> 1111111000
B |   |   |   |   |   |   |   |   | P |   | -> 1111111101
C |   |   |   |   |   |   |   |   | P |   | -> 1111111101
D |   |   |   |   |   |   |   |   | P | Q | -> 1111111100
G | V |   |   |   | T |   |   |   | P | S | -> 0111011100
H |   |   |   |   |   |   |   |   | P | R | -> 1111111100
E | V |   |   |   | T |   |   |   | P | S | -> 0111011100
F |   |   |   |   |   |   |   |   | P | R | -> 1111111100

All empty cells are possible.
Reasons are the followings:
- P: P = 1
  - [EF], [GH] > 11
    - if [EF] <= 11
      - GH >= 100
        
        CONTRADICTION
    - 11 < [EF] + [GH] <= 198
      - [EF] + [GH] = 111
- Q: D != 0
  - if D = 0
    - B = F
      - CONTRADICTION
- R: F, H != 0
  - if F = 0
    - H = 1
      - CONTRADICTION
- S: E, G != 0
  - if E = 0
    - 102 <= 111 - F = [GH] <= 111
      - CONTRADICTION
- T: E, G != 5
  - if E = 5
    - 52 <= [EF] = 111 - [GH] <= 59
      - 52 <= [GH] <= 59
        
        E = G
        
        CONTRADICTION
- U: A != 0
  - if A = 0
    - 02 < [AB] < 09
    - [EF] = [AB] - [CD] > 11
      - 09 > [AB] > [CD] > 00
        
        A = B
        
        CONTRADICTION
- V: E, G != 9
  - if E = 9
    - 12 <= [GH] = 111 - 90 - F = 21 - F <= 21
      - F < 2
        
        if F >= 2
        
        G = 1
        
        CONTRADICTION
      - F != 0
      - F != 1
      - CONTRADICTION
- W: A != 2
  - if A = 2
    - 20 <= [AB] <= 29
  - [AB] > [CD]
    - 02 <= [CD] <= 09
      - C = 0
  - if B > D
    - A = C
      - CONTRADICTION
  - if B < D
    - C = 1
      - CONTRADICTION
  - B != D
  - CONTRADICTION

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