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Problem Display

PID: 249088 (3Q1K2/8/4p3/3pP3/4kP2/1p2P3/5P2/3B4 w - - 0 1)

Dowd, Steven B

The Problemist, 2021

3Q1K2/8/4p3/3pP3/4kP2/1p2P3/5P2/3B4

#3

7 + 4

SOLUTION

SOUND
Sets
- 1...Kf5
  - 2.Qh4
    - threat
      - 3.Qh7#
    - 2...Ke4
      - 3.Qh7#
    - 2...Kg6
      - 3.Qh5#
  - 2.Qg5+
    - 2...Ke4
      - 3.Qg6#
  - 2.Qf6+
    - 2...Ke4
      - 3.Qg6#
- 1...d4
  - 2.Qxd4+
    - 2...Kf5
      - 3.Qd3#
Tries
- 1.Be2?
  - 1...Kf5
    - 2.Qh4
      - threat
        3.Bd3#
        3.Qh7#
      - 2...Ke4
        3.Qh7#
      - 2...Kg6
        3.Bd3#
        3.Qh5#
    - 2.Qg5+
      - 2...Ke4
        3.Qg6#
    - 2.Qf6+
      - 2...Ke4
        3.Qg6#
  - 1...d4
    - 2.Qxd4+
      - 2...Kf5
        3.Qd3#
  - 1...b2!
- 1.Qe7?
  - threat
    - 2.Qh7#
  - 1...Kd3
    - 2.Qb4
      - threat
        3.Qd4#
      - 2...d4
        3.Qxd4#
  - 1...d4!
- 1.Qd6?
  - 1...Kd3
    - 2.Qb4
      - threat
        3.Qd4#
      - 2...d4
        3.Qxd4#
  - 1...Kf5
    - 2.Qxe6+
      - 2...Ke4
        3.Qg6#
      - 2...Kxe6
        3.Bg4#
  - 1...d4
    - 2.Qxd4+
      - 2...Kf5
        3.Qd3#
  - 1...b2!
- 1.Qd7?
  - threat
    - 2.Qh7#
  - 1...d4
    - 2.Qxd4+
      - 2...Kf5
        3.Qd3#
  - 1...Kd3!
Keys
- 1.Qb6!
  - threat
    - 2.Qd4+
      - 2...Kf5
        3.Qd3#
  - 1...Kf5
    - 2.Qxe6+
      - 2...Ke4
        3.Qg6#
      - 2...Kxe6
        3.Bg4#
  - 1...d4
    - 2.Qxd4+
      - 2...Kf5
        3.Qd3#

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