Problem Display
PID: 52692 (Q7/8/3K4/1k6/1rR5/4B3/8/2N5 w - - 0 1)

Lincoln, Robert A

The Problemist, 2004

(First published on Sat May 1 2004)

Q7/8/3K4/1k6/1rR5/4B3/8/2N5

#2

5 + 2


5454 Near Snap 2022

SOLUTION


  • SOUND
  • Sets
    • 1...Kxc4
      • 2.Qc6#
    • 1...Rb1
      • 2.Qa4#
    • 1...Rb2
      • 2.Qa4#
    • 1...Rb3
      • 2.Qa4#
    • 1...Ra4
      • 2.Qxa4#
  • Tries
    • 1.Kd5?
      • 1...Rb1
        • 2.Qa4#
      • 1...Rb2
        • 2.Qa4#
      • 1...Rb3
        • 2.Qa4#
      • 1...Ra4
        • 2.Qxa4#
      • 1...Rxc4!
    • 1.Ke5?
      • 1...Kxc4
        • 2.Qc6#
      • 1...Rb1
        • 2.Qa4#
      • 1...Rb2
        • 2.Qa4#
      • 1...Rb3
        • 2.Qa4#
      • 1...Ra4
        • 2.Qxa4#
      • 1...Rxc4!
    • 1.Ke6?
      • 1...Kxc4
        • 2.Qc6#
      • 1...Rb1
        • 2.Qa4#
      • 1...Rb2
        • 2.Qa4#
      • 1...Rb3
        • 2.Qa4#
      • 1...Ra4
        • 2.Qxa4#
      • 1...Rxc4!
    • 1.Kc7?
      • threat
        • 2.Rc5#
      • 1...Kxc4
        • 2.Qc6#
      • 1...Rb1
        • 2.Qa4#
      • 1...Rb2
        • 2.Qa4#
      • 1...Rb3
        • 2.Qa4#
      • 1...Ra4
        • 2.Qxa4#
      • 1...Rxc4+!
    • 1.Kd7?
      • 1...Kxc4
        • 2.Qc6#
      • 1...Rb1
        • 2.Qa4#
      • 1...Rb2
        • 2.Qa4#
      • 1...Rb3
        • 2.Qa4#
      • 1...Ra4
        • 2.Qxa4#
      • 1...Rxc4!
    • 1.Ke7?
      • 1...Kxc4
        • 2.Qc6#
      • 1...Rb1
        • 2.Qa4#
      • 1...Rb2
        • 2.Qa4#
      • 1...Rb3
        • 2.Qa4#
      • 1...Ra4
        • 2.Qxa4#
      • 1...Rxc4!
    • 1.Sa2?
      • threat
        • 2.Rxb4#
      • 1...Kxc4
        • 2.Qd5#
      • 1...Rb1
        • 2.Qa4#
      • 1...Rb2
        • 2.Qa4#
      • 1...Rb3
        • 2.Qa4#
      • 1...Ra4
        • 2.Qxa4#
      • 1...Rxc4!
    • 1.Se2?
      • 1...Kxc4
        • 2.Qd5#
      • 1...Rb1
        • 2.Qa4#
      • 1...Rb2
        • 2.Qa4#
      • 1...Rb3
        • 2.Qa4#
      • 1...Ra4
        • 2.Qxa4#
      • 1...Rxc4!
    • 1.Sb3?
      • threat
        • 2.Qc6#
      • 1...Rxb3
        • 2.Qa4#
      • 1...Rxc4
        • 2.Qa5#
      • 1...Kxc4!
    • 1.Bg1?
      • 1...Kxc4
        • 2.Qc6#
      • 1...Rb1
        • 2.Qa4#
      • 1...Rb2
        • 2.Qa4#
      • 1...Rb3
        • 2.Qa4#
      • 1...Ra4
        • 2.Qxa4#
      • 1...Rxc4!
    • 1.Bf2?
      • 1...Kxc4
        • 2.Qc6#
      • 1...Rb1
        • 2.Qa4#
      • 1...Rb2
        • 2.Qa4#
      • 1...Rb3
        • 2.Qa4#
      • 1...Ra4
        • 2.Qxa4#
      • 1...Rxc4!
    • 1.Bd4?
      • 1...Kxc4
        • 2.Qd5#
      • 1...Rb1
        • 2.Qa4#
      • 1...Rb2
        • 2.Qa4#
      • 1...Rb3
        • 2.Qa4#
      • 1...Ra4
        • 2.Qxa4#
      • 1...Rxc4!
    • 1.Qb7+?
      • 1...Ka4
        • 2.Qa6#
        • 2.Qxb4#
      • 1...Kxc4
        • 2.Qc6#
      • 1...Ka5!
    • 1.Qa2?
      • 1...Rb3
        • 2.Qa4#
      • 1...Ra4
        • 2.Qxa4#
      • 1...Rb1
        • 2.Qa4#
      • 1...Rb2
        • 2.Qa4#
      • 1...Rxc4!
    • 1.Qa3?
      • threat
        • 2.Rxb4#
      • 1...Kxc4
        • 2.Qd3#
      • 1...Ra4
        • 2.Qxa4#
      • 1...Rb1
        • 2.Qa4#
      • 1...Rb2
        • 2.Qa4#
      • 1...Rb3
        • 2.Qa4#
      • 1...Rxc4!
    • 1.Qa5+?
      • 1...Kxc4
        • 2.Qc5#
      • 1...Kxa5!
    • 1.Qa7?
      • threat
        • 2.Rc5#
      • 1...Kxc4
        • 2.Qc5#
      • 1...Rb1
        • 2.Qa4#
      • 1...Rb2
        • 2.Qa4#
      • 1...Rb3
        • 2.Qa4#
      • 1...Ra4
        • 2.Qxa4#
      • 1...Rxc4!
  • Keys
    • 1.Bd2!
      • threat
        • 2.Rxb4#
      • 1...Kxc4
        • 2.Qd5#
      • 1...Kb6
        • 2.Rxb4#
      • 1...Rxc4
        • 2.Qa5#
      • 1...Rb1
        • 2.Qc6#
      • 1...Rb2
        • 2.Qc6#
      • 1...Rb3
        • 2.Qc6#
      • 1...Ra4
        • 2.Qc6#

Anticipated by 91833(1975)

FEATURES


  • Static
    • TYPE = THREAT
    • CHANGED MATES = 5
    • ADDED MATES = 2
    • REMOVED MATES = 0
  • Sets
    • K(b);S_FLIGHT,XR(C)::QAR2(E)
    • R(a);N_GUARD::QAB1(E)
    • R(a);N_GUARD::QAB1(E),XR(a)
  • Tries
    • Try
      • K(D);P-FLIGHT
      • Vars
        • R(a);N_GUARD::QAB1(E)
        • R(a);N_GUARD::QAB1(E),XR(a)
      • Refutation
        • R(a);XR(C)
    • Try
      • K(D);S_FLIGHT
      • Vars
        • K(b);S_FLIGHT,XR(C)::QAR2(E)
        • R(a);N_GUARD::QAB1(E)
        • R(a);N_GUARD::QAB1(E),XR(a)
      • Refutation
        • R(a);XR(C)
    • Try
      • K(D);P-FLIGHT
      • Vars
        • K(b);S_FLIGHT,XR(C)::QAR2(E)
        • R(a);N_GUARD::QAB1(E)
        • R(a);N_GUARD::QAB1(E),XR(a)
      • Refutation
        • R(a);XR(C)
    • Try
      • K(D);S_FLIGHT
      • Threat
        • R1(C)
      • Vars
        • K(b);S_FLIGHT,XR(C)::QAR2(E)
        • R(a);N_GUARD::QAB1(E)
        • R(a);N_GUARD::QAB1(E),XR(a)
      • Refutation
        • R(a);CHECK,XR(C)
    • Try
      • K(D);P-FLIGHT
      • Vars
        • K(b);S_FLIGHT,XR(C)::QAR2(E)
        • R(a);N_GUARD::QAB1(E)
        • R(a);N_GUARD::QAB1(E),XR(a)
      • Refutation
        • R(a);XR(C)
    • Try
      • K(D);S_FLIGHT
      • Vars
        • K(b);S_FLIGHT,XR(C)::QAR2(E)
        • R(a);N_GUARD::QAB1(E)
        • R(a);N_GUARD::QAB1(E),XR(a)
      • Refutation
        • R(a);XR(C)
    • Try
      • S(A);
      • Threat
        • R1(C),XR(a)
      • Vars
        • K(b);S_FLIGHT,XR(C)::QAB1(E)
        • R(a);N_GUARD::QAB1(E)
        • R(a);N_GUARD::QAB1(E),XR(a)
      • Refutation
        • R(a);XR(C)
    • Try
      • S(A);
      • Vars
        • K(b);S_FLIGHT,XR(C)::QAB1(E)
        • R(a);N_GUARD::QAB1(E)
        • R(a);N_GUARD::QAB1(E),XR(a)
      • Refutation
        • R(a);XR(C)
    • Try
      • S(A);
      • Threat
        • QAB1(E)
      • Vars
        • R(a);N_GUARD,XS(A)::QAB1(E)
        • R(a);SBLOCK,XR(C)::QAR1(E)
      • Refutation
        • K(b);S_FLIGHT,XR(C)
    • Try
      • B(B);
      • Vars
        • K(b);S_FLIGHT,XR(C)::QAR2(E)
        • R(a);N_GUARD::QAB1(E)
        • R(a);N_GUARD::QAB1(E),XR(a)
      • Refutation
        • R(a);XR(C)
    • Try
      • B(B);
      • Vars
        • K(b);S_FLIGHT,XR(C)::QAR2(E)
        • R(a);N_GUARD::QAB1(E)
        • R(a);N_GUARD::QAB1(E),XR(a)
      • Refutation
        • R(a);XR(C)
    • Try
      • B(B);
      • Vars
        • K(b);S_FLIGHT,XR(C)::QAB1(E)
        • R(a);N_GUARD::QAB1(E)
        • R(a);N_GUARD::QAB1(E),XR(a)
      • Refutation
        • R(a);XR(C)
    • Try
      • Q(E);CHECK
      • Vars
        • K(b);S_FLIGHT,XR(C)::QAR2(E)
      • Refutation
        • K(b);P-FLIGHT
    • Try
      • Q(E);
      • Vars
        • R(a);N_GUARD::QAB1(E)
        • R(a);N_GUARD::QAB1(E),XR(a)
      • Refutation
        • R(a);XR(C)
    • Try
      • Q(E);
      • Threat
        • R1(C),XR(a)
      • Vars
        • K(b);OGATEB,S_FLIGHT,XR(C)::QAB1(E)
        • R(a);N_GUARD::QAB1(E),XR(a)
        • R(a);N_GUARD::QAB1(E)
      • Refutation
        • R(a);XR(C)
    • Try
      • Q(E);CHECK
      • Vars
        • K(b);OGATE,S_FLIGHT,XR(C)::QAR1(E)
      • Refutation
        • K(b);P-FLIGHT,XQ(E)
    • Try
      • Q(E);
      • Threat
        • R1(C)
      • Vars
        • K(b);S_FLIGHT,XR(C)::QAR1(E)
        • R(a);N_GUARD::QAB1(E)
        • R(a);N_GUARD::QAB1(E),XR(a)
      • Refutation
        • R(a);XR(C)
  • Actual
    • B(B);
    • Threat
      • R1(C),XR(a)
    • Vars
      • K(b);S_FLIGHT,XR(C)::QAB1(E)
      • K(b);P-FLIGHT::R(C),XR(a)
      • R(a);SBLOCK,XR(C)::QAR1(E)
      • R(a);::QAB1(E)


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