No.466,467,468,469,470 (PH)

Happy New Year to all of you from Peter Harris!

Enjoy 5 problems dedicated to: commentator Seetharaman, Tadashi Wakashima, Manfred Rittirsch, Vlaicu Crisan, and to your editor. Thank you, Peter! (JV)

Definitions:

Maximummer: Black must play the geometrically longest move or may choose from among longest moves of equal length, distances being measured from the center of each square. Diagonal and oblique distances are measured from the orthogonal coordinates by using Pythagora’s theorem (take the square root of the sum of the squares of the orthogonal distances). All other orthodox chess rules apply.

Super-Circe: When captured, a piece is reborn on any free field on the chess board without causing self-check or selfmate. Possible is also removal of captured piece from the board. The Pawns (white, black, neutrals, half- neutrals) can be reborn on the first or eight row also. When reborn on the first row (for Black) or on the eight row (for White) the promotion is obligatory. When reborn on the first row (for White) or on the eight row (for Black) the Pawns are immovable.

Andernach Chess: A piece (excluding King) changes its color after any capturing move. Rooks on a1, h1, a8 and h8 can be used for castling, provided the usual other rules for that move are satisfied.

Isardam: Any move, including capture of the King, is Isardam illegal if a Madrasi-type paralysis would result from it.

Madrasi: Units, other than Kings, are paralysed when they attack each other. Paralysed units cannot move, capture or give check, their only power being that of causing paralysis.

PWC: When a capture is made, the captured unit (except a King) is replaced on the square the capturing unit just leaves. A Pawn is immovable on its 1st rank.

Anti-Supercirce: A capturing piece [including a King] can [and must] be reborn on any vacant square without causing self-check. Pawns can be reborn on their eighth or first rank; promotion is obligatory; Pawns reborn on their first rank are dead.

Chameleon: On completing a move, a Chameleon (from classical standard type) changes into another piece, in the sequence Q-S-B-R-Q… Promotion may be to a Chameleon at any stage in the cycle if any Chameleon piece is presented on the board.

No.466 Peter Harris South Africa original – 30.12.2013 Dedicated to commentator Seetharaman.   hs=3         b) neutral Ka7     (1+2+1n) Maximummer Super-Circe (no black King)     Solutions: (click to show/hide)   a) 1.nPb4×a5 [+bPh2] h2-h1=Q 2.nPa5-a6 Qh1-a8 + 3.Ka7×a8 [+bQb3] Gg8-a2 = b) 1.nPb4×a5 [+bPb7] b7-b5 2.nPa5×b6 ep. [+bPb1=bR] + Rb1×b6 [+nPa8=nG] 3.nKa7×a8 [+nGg2] Gg8-g1 = (C+ by Popeye 4.63)	No.467 Peter Harris South Africa original – 30.12.2013 Dedicated to Tadashi Wakashima.   hs#3             3 solutions             (5+5) Andernach Chess Isardam     Solutions: (click to show/hide)   I. 1.Rg5-f5 Kd5-c6 2.Kf4-e5 Rh4-h6 3.Ra5-a6 + Bc7-b6 # II. 1.Ra5-a6 + Bc7-e5 2.Rg5-g6 Rb4-d4 3.Rg6-d6 + Be5×d6=wB # III. 1.Ra5-c5 Rb4-d4 2.Ba2-c4 Bc7-d6 3.Bg8-h7 + Rd4×c4=wR # (C+ by Popeye 4.63)
No.468 Peter Harris South Africa original – 30.12.2013 Dedicated to Manfred Rittirsch.   hs#2,5             Duplex                (3+3) Super-Circe Isardam     Solutions: (click to show/hide)   I. 1…Rd2-d3 2.Rd6-d5 + Qa8×d5 [+wRe2] + 3.Kd4-e3 + Kf3×e2 [+wRf3] # II. 1…Qh1-h4 2.Qa8-d5 + Rd6×d5 [+bQe5] 3.Kf3-e4 + Kd4×e5 [+bQd4] # (C+ by Popeye 4.61&4.59, but it has no solutions by Popeye 4.63(JV))	No.469 Peter Harris South Africa original – 30.12.2013 Dedicated to Vlaicu Crisan.   hs#3             2 solutions             (4+4) PWC Maximummer Isardam     Solutions: (click to show/hide)   I. 1.a7-a8=Q Rh8×a8 [+wQh8] 2.Qh8-g8 + Ra8×g8 [+wQa8] 3.Sd3-f2 Rg8-g1 # II. 1.Sd3-c5 + Ke6-f7 2.a7-a8=S Rh8-b8 3.Rd2-g2 Rb8-b1 # The solutions are C+ with Popeye 4.61 and 4.59. A third solution given by 4.63 is a bug. (Author)
No.470 Peter Harris South Africa original – 30.12.2013 Dedicated to Julia V.   h=2                b) + Circe               (2+4) Chameleon a2 c2 a1 b1 Anti-Supercirce     Note: In this problem Circe has priority over AntiSupercirce. The capturing piece cannot relocate to the rebirth square of the captured piece.   Solutions: (click to show/hide)   a) 1.Kb3-a4 cRc2×a2=Q[wcQa2->b6] 2.cSa1-c2=cB cBb1×c2=R[wcRc2->a2] = b) 1.Kb3×c2 [+wcRh1][bKc2->c8] cBb1×a2=R[wcRa2->b2] 2.a3×b2[bPb2->b8] cRh1×a1=Q[wcQa1->e7] = (C+ by Popeye 4.61 & 4.59, but one more solution by Popeye 4.63(JV)) Popeye 4.61 and 4.59 follow the Circe priority rule. 4.63 however gives an option to allow an AntiSuperCirce piece to occupy the captured piece’s rebirth square and this gives the following additional solution in (b): 1.cSa1×c2=cB[bcBc2->b2][+wcRh1] cBb1×a2=cR[wcRa2->c8] 2.Kb3-a2 cRc8-c2=cQ = (Author)