# Existence and Construction of Reel Strips from Mathematical Specifications -- plain text, part 5 of 5

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Sections: Reel Strip Listing

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[13] J. G. Kemeny and J. L. Snell, Finite Markov Chains, Springer-Verlag, 1976.
[14] S. N. Bernstein, “On a modification of Chebyshev’s inequality and on the error in Laplace’s formula,” Annals of Science of the Ukrainian SSR, vol. 4, pp. 38–49, 1924.
[15] A. Schrijver, Combinatorial Optimization: Polyhedra and Efficiency, Springer-Verlag, 2003.
[16] C. Barboianu, The Mathematics of Slots: Configurations, Combinations, Probabilities, Infarom, 2013.
[17] R. M. Wilson, “Decompositions of complete graphs into subgraphs isomorphic to a given graph,” Congressus Numerantium, vol. 15, pp. 647–659, 1975.
A Reel Strip Listing
Complete reel strips for the worked example of Section 15. These are the base strips (strip A, fillers as singles). The game strips are the 3-block splice A2B1 described in Section 15, where strip B shares the same skeleton and counts with fillers grouped into runs. Per-reel lengths: L1 = 511 (base 511, K = 1), L2 = 1500 (base 750, K = 2), L3 = 720 (base 360, K = 2), L4 = 2067 (base 689, K = 3), L5 = 510 (base 510, K = 1). All base lengths ≤ 1000, derived from integrality constraints. Symbol key: H = H1, 1--3 = M1–M3, A,K,Q,J,T,9 = low symbols (T = 10), W = wild, S = scatter. Wild multiplier values: R2 ω = 1.93 (uniform), R3 ω = 2.90 (uniform), R4 from {2, 3, 5} (2×2, 5×3, 11×5).
Verify for yourself. Count the symbols on each reel: they match Table 2 exactly. Compute m = W n/L for each symbol on each reel and plug into the RTP formula (equation 7): the result is 64.000%, not approximately — the arrangement cannot change it. Compute c = W n/a for H1 on each reel: the clustering matches the specification. Then compute the global statistics: the per-reel effective presences p(si) (fraction of windows containing each symbol, with wild substitution) give the per-OAK hit rates via the product formula, the total hit rate H via inclusion–exclusion, and CVwin via window enumeration with the multiplier values above. The three headline numbers — RTP = 64.0%, H ≈ 1/4, CVwin ≈ 15 — are all recoverable from these strips and the paytable in Table 1, with no additional input. These strips are the complete, verifiable output of the framework.
=== REEL 1 (L=511) === 0: H K H T H J H 3 H A H 1 H A H 9 H 3 H K H J H K H 1 H K H 3 H 2 H 2 H T H J H K
40: H J H 1 H 3 H K H 3 H 9 H Q H Q H K H T H 9 H 9 H K H J H Q H T H 2 H K H 9 H Q 80: H Q H T H A H 2 H 3 H A H 1 H 9 H A H 1 H 9 H S H 3 H J H S Q H Q 9 H 2 2 H 3 1 120: H J J H 9 9 H 1 1 H T J H Q J H K 3 H 2 2 H J J H 3 Q H K 9 H Q 2 H 3 1 H J Q H 160: A T H T 3 H S 3 H 2 9 H 9 3 H K 1 H S Q H A A H 1 9 H Q T H 1 9 H 9 2 H A J H A 200: T H A A H Q Q H 3 J H K 9 H K T H Q K H 2 2 H 1 J H A A H 3 9 H 1 A H 3 K H S A 240: H 9 2 H Q A H 2 3 H J 3 H T 1 H Q 2 H Q 2 H Q 9 H S K H J T T 3 3 S 3 J J 1 T T 280: 3 S Q A Q K S 9 9 J J Q Q S Q Q T 3 K 1 1 Q Q J 3 Q J J J S Q Q J T 9 K A 1 A 2 320: 1 Q A K J 3 K A A A 2 Q 2 J 1 1 3 T 2 1 2 K T 3 Q K 2 2 S 9 9 Q 9 1 K K 1 S 1 3 360: 1 A 3 9 J K T T 2 T Q 2 3 Q 1 9 T J 9 J J J K T J 3 J 9 1 2 A 1 T 1 A T A 9 K 9 400: T A J 1 Q J 3 3 T Q J K A J T 1 S T T A A A T 1 2 1 A A 1 A Q 2 9 9 9 2 2 Q K K 440: 9 2 A 3 T 9 K 3 3 2 2 K K 2 J J 1 T T 1 2 2 2 T 2 A Q S K 2 2 1 1 2 3 3 S A A A 480: T 1 K K 1 T T 2 T 2 2 K K 3 9 3 S 1 1 9 9 K K 1 1 T A A 9 3 3
=== REEL 2 (L=1500, K=2) === 0: H 9 H 3 H 2 H 1 H 1 H J H 2 H 9 H 9 H 3 H 3 H T H 1 H J H 9 H 3 H T H Q H Q H Q
40: H 2 H J H 2 H K H A H A H A H Q H 9 H A H 2 A H T T H 1 K H J J H 2 Q H K Q H T 80: 2 H T T H 1 1 H A A H T Q H A 3 H T T H 3 K H 2 9 H 2 K H S 9 H 3 A H A 9 H A J 120: H 9 Q H 9 9 H J 2 H 3 J H K T H 3 9 H J S H 1 3 H J K H K K H A A H T T H Q J H 160: Q Q H 1 K H 1 K H 1 K H 9 J H A T H 1 A H T 3 H 1 2 H 3 K H T T H 9 2 H Q K H A 200: 3 H K A H Q 3 H 9 J H 2 9 H K T H 1 9 H 3 A H 3 3 H 3 K H 1 Q H S T H K K H 2 2 240: H 1 T H Q Q H J K H Q T H 9 9 H 3 1 H K K H 1 A H 2 K H S 9 H 3 3 H 1 K H 9 A H 280: A Q H J K H K Q H K 1 H 1 2 W T W 1 1 K T T 3 3 A 9 S K Q K Q Q 3 K 3 9 3 K 9 T 320: 3 3 3 K K 9 1 J A 9 2 2 T 1 A T 9 9 K 3 2 T T T 1 2 3 J J 1 9 Q T 9 3 3 2 9 S J 360: A 2 K Q 1 J A 9 9 Q Q 2 A 1 1 2 2 A A Q J 9 A 3 1 Q Q T S T 1 3 A Q 1 9 A A T T 400: Q A Q J J J 3 9 J S 9 J 2 9 A A 2 J A J 9 9 1 2 A A K 3 J 3 J J S T 2 T 1 1 A A 440: 9 J J A A 2 A J T K 2 1 3 Q 3 1 2 K 3 1 9 9 9 9 A J A S 9 2 J 3 A A Q 9 Q Q Q Q 480: J 9 A 2 9 9 9 9 9 K Q 1 Q T Q Q 3 1 1 A K 9 T 2 Q 1 A 2 3 Q 2 J K 1 9 9 2 S 3 J 520: K Q 1 T 2 Q A 2 A T 9 K 2 Q 3 3 J 3 3 S K A 1 A Q 2 2 2 9 1 1 Q Q 2 Q 2 9 1 2 J 560: A 2 J 3 A 2 J K K A 2 Q Q J 3 1 S Q K K 3 3 2 Q 9 J J 9 9 9 1 3 K K T 9 1 9 S T
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600: 9 A A 2 T S Q 1 1 K J Q A Q 2 2 Q T 1 1 2 2 2 Q J 2 3 A S A 3 1 2 1 3 2 S 9 T T 640: 2 A K 1 1 3 1 1 T T Q J 1 1 T 1 3 K J J 9 S J 2 A A J 2 2 A T Q Q 1 A A K T T J 680: 3 A 2 A T J 9 1 Q Q S Q 2 3 3 S 3 J J J S 2 9 K K 3 1 T J 3 1 A A J 2 K 2 2 2 9 720: K K K J 2 2 Q J Q 9 3 2 Q A 1 A Q Q K 2 2 T K T T 1 T Q 2 9 3 1 J 3 1 J 1 Q K J 760: K 3 3 T 9 T 9 J T 3 1 9 3 3 2 2 J J T Q 2 J A T T T 1 A T K K T J 3 2 2 A T 1 3 800: T 3 J 2 3 Q 9 2 K 1 J 9 K K K 1 9 3 J S 9 T 3 3 A Q K Q 1 T T T 1 K Q Q Q Q Q S 840: 1 Q Q K K 3 9 S 3 3 3 J J 1 1 1 9 1 T Q A A J J 3 3 T J S Q J 1 T J Q 2 2 A 2 2 880: J 2 1 A J A J 1 A 3 3 J A 9 3 9 K 9 T 2 Q Q 9 Q T 3 T 2 1 1 9 3 3 3 T A 9 T 1 Q 920: 1 A 2 T S K K K T 2 3 J 1 1 1 J T 1 9 A Q 2 1 2 2 Q S 1 A T T 2 1 A A J K T A Q 960: A T 2 S 3 T T J T Q S K T T T 3 T A 9 Q 2 T 2 J 3 2 2 J 2 2 3 9 S K T T S Q Q A 1000: 1 9 1 1 A A J Q 9 A 9 3 K A 9 J 1 A 9 Q 9 3 K K T A K J A K S 1 T A T 9 J J 9 9 1040: A A 2 1 9 Q 3 A J 2 T 9 T T 9 2 9 J 3 3 Q J 3 9 A K 2 Q Q 3 J A 1 A 1 Q Q J T K 1080: K 1 1 T A S 9 J J J Q 3 S 9 9 2 3 3 A A 2 2 K J A 3 Q K K K K T K K A J 1 2 2 1 1120: 1 K 2 Q K A J K 1 S J T J T A Q 3 Q Q 2 2 Q Q K S 2 9 J T J K 9 S J J 9 J Q A 9 1160: K J 9 T 3 A J T 9 3 1 1 3 2 2 1 3 S 3 1 2 A K K 1 1 2 T K 1 3 9 S T J Q 3 1 1 1 1200: 1 A J 3 2 3 3 3 K T 2 Q 9 J 1 S 1 1 2 1 J 2 3 Q K K T T 2 T A T Q T 9 9 1 1 J J 1240: 3 1 1 J J T 9 J S K 2 2 K A 3 1 1 2 2 9 9 2 1 Q T J Q A A A A Q K T S 3 J J T 3 1280: J A A 9 K 2 S Q 1 1 2 S K K Q A 9 T Q 9 S 3 3 3 A 1 9 A A 3 1 Q 1 J 9 S Q Q T Q 1320: 9 1 3 9 Q 1 3 A K 9 T 2 T T K Q Q J 2 2 J K 3 1 1 Q 3 3 9 J A A Q Q K 2 K A 9 J 1360: J 2 T 1 1 1 2 S 9 K K T 9 A A K K 1 3 Q A A J Q 3 S 1 K Q 3 1 T T K Q 2 2 2 A A 1400: A T A 3 2 T K T 2 S 9 3 Q K K T 9 9 3 K 3 J 1 1 J J K T J 3 J 2 Q Q 1 1 J K J J 1440: J T T J 1 3 3 K K K Q 1 A K K 9 K K T 2 K K K K 2 K 1 S 3 9 3 3 K A 9 2 2 9 9 2 1480: 1 Q 2 1 2 9 1 Q K 1 2 A Q 2 T 3 3 T 9 9
=== REEL 3 (L=720, K=2) === 0: H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H
40: H H H H H H H H H H H H H H T H J H T H 3 H T H S H J H 2 H 2 H 9 H Q H A H 2 H 80: T H 1 H T H J H 1 H Q H 2 H K H T H 1 H 2 H T H 2 H K H 1 H A H K H 2 H 2 H A H 120: J H 3 H 1 H 3 H 3 H A H S H T H 9 H J H 2 H 9 H 2 H K H 3 H 3 H 1 H A H Q H 3 H 160: T H 1 H 1 H Q H 1 H 2 H A H T H 2 H T H K H 1 H T H 1 H Q H K H T H J H 9 H 9 H 200: 3 H 3 H Q H J H S H A H T H A H A H T H T H 3 H 3 H T H 9 H A H K H 3 H 3 H Q H 240: 9 H 9 H K H 3 H 2 H J H 1 H 2 H A H T 1 W 1 W J K 1 1 3 S 2 2 9 1 1 A 2 K K 2 Q 280: 9 K J J J 1 9 J Q T J Q T 1 9 J 3 A 2 T 9 9 A 9 9 T A A K Q Q 9 Q 9 9 S J J 2 9 320: 3 A A J K J Q 1 1 T T K 1 S J K S 9 3 K 3 1 S 9 T 1 Q A A 1 Q Q 1 3 1 J A A 2 S 360: K T K K 9 1 Q Q Q 1 3 1 T A 2 9 A A 1 1 9 S A 1 3 3 2 9 S 9 1 A J K K K K J 2 T 400: Q 1 A 2 2 Q A J J S T Q 9 2 K K 1 2 9 A 9 9 K J Q A K K 1 3 2 Q Q A A K 2 A 9 1 440: Q J S Q J J A 9 Q Q J K A 2 J Q A A Q 1 A J T J 1 2 3 1 2 1 Q S 9 T A 1 Q K J 2 480: 9 A Q A K T T 2 9 A 2 T 2 9 3 A 3 1 T T Q 3 K K 1 9 3 K K 2 3 Q K Q A Q 9 T J Q 520: T 9 K 1 T T 2 3 1 Q K J J J J 3 J J T K 3 9 J J J J A Q 1 9 9 9 2 K 1 2 3 3 1 2 560: 3 S 9 3 T 1 9 9 1 1 A A 2 9 2 3 T K J J A A S Q 3 Q 9 2 2 A A 3 T Q K A A 1 3 A 600: 3 J J 2 T S 3 1 Q 3 J 3 2 J 2 3 J 3 T 2 J J K 1 2 K K J K 1 3 T 2 2 2 J Q 1 A 9 640: J J Q S 1 Q Q K T S K 2 2 T T 3 3 A K S A 9 2 2 Q K T T 2 3 9 9 1 K K S 3 3 A K 680: 1 3 Q K S Q 9 S T 2 3 3 3 9 S T T T 3 1 3 Q T K K 1 1 Q 9 T K 3 Q Q 2 9 9 9 2 Q
=== REEL 4 (L=2067, K=3) === 0: H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H
40: H H H H H H H H H H H H H J H J H 2 H J H J H A H J H S H Q H K H S H 2 H J H Q 80: H 1 H 1 H 2 H J H S H J H 9 H 3 H 1 H T H K H T H K H J H K H 3 H J H 2 H Q H T 120: H J H K H 3 H 2 H K H K H J H K H 3 H 3 H 1 H Q H T H 9 H A H A H 3 H T H T H Q 160: H 3 H 9 H 2 H 3 H 1 H Q H A H 1 H T H 2 H 1 H 1 H 9 H Q H Q H 3 H 9 H K H Q H 3 200: H 9 H T H K H Q H 1 H T H 9 H A H 9 H 1 H S H 3 H 3 H 1 H J H A H A H T H 2 H T 240: H K H Q H T H J H 1 H 9 H 3 T W A W T W A W S W 2 W 3 W Q W 9 W 3 W A T W T 2 W 280: 3 9 W J 3 W T K W T T W K S W T 3 W T 1 J A J J Q 9 T Q 9 2 Q 3 T A J Q T 2 A A 320: J Q T S Q 2 K S 1 2 J S 2 A J 3 Q 3 A K J J 3 2 T 2 A J 2 J K J T 1 3 K K K T 9 360: 3 K K T 9 J T 3 Q 3 K 9 A Q Q K 9 S Q Q K J 1 J 3 T 3 2 3 9 2 9 T K Q K A A S Q 400: 2 1 S 9 1 9 T 3 1 J 1 3 A Q A Q K J J J 2 1 2 S K A Q 9 9 2 T K 9 Q 1 Q J Q 3 A 440: A 9 1 T 2 3 3 1 Q K 1 T 2 T 1 3 2 2 A A 9 1 A K A 2 Q 9 J 3 2 J Q Q K 3 Q 1 T Q 480: 2 J T 3 1 A 1 3 S 9 Q K K J K 9 3 A J A Q 2 3 Q T 1 A A 2 A T Q 3 9 J T 3 Q 9 J 520: Q 1 2 3 K J 9 Q 9 K 2 J 1 K K 3 9 A 9 2 3 K J J 1 T T 3 9 2 9 T 2 T Q Q K J 1 S 560: T A 3 Q T 1 3 1 K J J A 1 J 3 9 A 9 K 1 Q 2 K A K 1 T K Q J 9 9 9 S 1 3 K 1 A 3 600: 3 2 Q S 2 Q 9 T J 2 J 2 9 1 J K 2 J 1 3 1 K T T K J T Q 2 9 2 9 3 1 9 A K 1 1 2 640: 2 T 1 1 S K 2 T T 9 1 Q A 1 J A J A 1 S 3 9 Q K A 3 A 3 K 1 1 Q K 1 T 9 Q 9 1 2 680: 9 T S K Q 9 J 1 3 T 3 T A K J A J J 9 T K 9 T 1 T 3 Q 1 1 Q K Q 9 A S 3 T 2 2 9 720: Q 1 9 T 1 K J 1 J S 3 K 3 K A J Q Q A 2 K 9 1 1 A 9 T 3 T 9 9 9 Q A A 1 K A Q J 760: K Q K J 3 Q Q Q 3 2 K A T S T K 1 S T T 3 9 K 3 T A 1 T J A 2 Q J K 2 2 A Q Q 3 800: J 2 T 3 J T 2 A A J J 2 2 K J 2 S 2 K 3 2 Q A 2 3 2 2 A J 1 A Q J K J T 9 2 2 K 840: A Q J 1 K J 9 9 Q K 3 A 9 3 Q 3 J 3 1 A 2 K 2 J J J 2 A 1 9 3 K 1 S A 2 2 Q 1 J 880: 3 1 9 A 2 J 1 Q J Q S J 3 3 2 9 T S 3 T 2 T 2 A Q 1 Q 9 S T 9 3 1 K 3 T J T 3 T 920: 1 A 2 9 3 3 J T 2 3 2 S 2 9 T 9 3 9 2 2 1 J A J A K 1 2 9 J K A 1 Q 1 2 A Q 1 Q 960: J A T K 2 2 1 A J 1 9 Q J T 9 T J 3 A 9 3 K A K K T A K 9 9 J 2 1 A 2 J 9 K Q 3 1000: 1 T S Q Q T T Q Q 3 S 2 T 9 9 9 9 3 2 J S A 9 T 1 9 T 9 K S 1 1 9 J 9 T 2 T J J 1040: 2 A J 1 K 3 A 3 J T 3 3 J A 1 A 3 Q 1 T K J A 2 Q J 9 T 2 T 1 1 T T J Q Q 2 1 A 1080: A 9 A 3 9 T A T Q 1 S T 9 K J T A A K 3 T T 2 A 1 9 J Q 2 T 9 1 1 3 3 J 9 3 J 3 1120: Q 1 T S 3 9 9 2 2 2 A T S 9 2 3 2 2 T S T 9 A A A A 1 3 9 3 3 Q 3 2 S T 9 1 J 9 1160: 2 T 3 A K 2 K Q 1 3 T Q J S 1 2 K T A Q 2 1 2 T J T 1 J J K 3 Q 3 A Q 9 3 A 1 1 1200: 2 Q J 9 A 3 1 Q 3 1 T S 2 2 2 T K T J K A 1 9 J Q Q Q J 9 T 1 J 9 2 3 1 A A 9 A 1240: 3 J 2 1 9 J J J S Q J Q Q Q J Q S 9 1 Q 2 S 2 A 2 1 2 S 3 J Q 3 A 3 K K 2 J 3 3 1280: J J 2 T 2 2 9 T Q 1 A J 2 Q K 1 T A 3 A Q K K 2 A 3 Q J Q T J 3 T K 1 Q 3 J A 1 1320: 3 1 S K Q J 9 1 3 Q A 2 3 2 9 A Q 3 2 A A Q T 1 9 2 T T 1 2 9 A Q Q T 2 A 2 A 1 1360: J A J 3 J 2 9 T K 2 Q 3 K S K 3 J Q J J 1 9 3 9 Q 2 9 9 Q Q J 3 2 9 9 1 3 2 J Q 1400: S Q 2 A Q 9 9 A 1 J 2 J 2 A 9 A 9 2 S T J J 9 A K Q 3 9 2 J 2 Q Q J J Q J 3 9 S 1440: 1 T 1 A A Q K K 2 2 K A A 2 Q J Q Q K J A T Q T J A 1 A T 1 3 3 K A K 1 K S J K 1480: 1 1 T 1 A 3 3 1 A K 9 K K 1 K K 1 Q J 2 Q 2 K Q K K 3 J Q K 3 3 T 2 2 1 Q 3 2 1 1520: 2 J K 1 A A J K A A 2 2 J K 3 1 3 1 1 J T A 3 Q 2 K K K K 1 2 1 A 9 K S 9 K J 9 1560: J 2 J 9 3 3 Q Q J 1 1 K T 9 1 1 2 A 1 9 2 A Q 3 1 A 9 2 1 J K Q K 2 Q 3 9 1 3 K 1600: K A K 1 1 9 A K 9 Q K K T 3 1 1 S Q 1 T A 3 K 1 A Q K Q 2 2 A Q 1 2 T T T 1 9 J 1640: 2 9 1 T S 9 3 S K 3 K A 1 T 1 A 1 S 1 9 K 1 K J Q J A 1 T K J 2 1 2 K 3 9 3 9 1 1680: 1 K 9 3 J 3 T J K T A 3 A 3 9 2 1 A Q Q Q 9 A 1 S K 9 J K K A 1 K Q S A 3 3 2 A 1720: A K T Q K Q J 1 K Q A K 2 1 T 1 J 3 1 9 1 9 2 1 3 Q 2 3 A K 1 A A 9 T 9 2 K A 1 1760: J K 2 K 9 1 Q K T 1 1 9 K K T 1 A 3 K Q K 9 9 A 2 J 3 T Q 2 J A 1 1 3 T T K T 2 1800: Q 2 9 K A J 3 1 1 J 1 K Q Q S K Q 1 T K A T J 1 2 T T A T 9 2 2 T 3 9 S T T 2 2 1840: Q K 1 K A A J A T K 3 K 3 K K 9 9 Q 9 9 1 3 S T A Q 3 2 1 3 Q 2 S T 9 J 3 T 2 9
58

1880: 2 2 A 2 A 9 3 1 2 A 2 T Q A Q T T 2 3 J 3 S T 9 J K 3 J Q A T 1 T 9 T J 2 A 3 T 1920: S J 1 Q Q 1 3 1 K 2 A K A 3 9 1 9 J 3 9 9 9 J 9 9 Q 9 T S Q T T 3 K T A T 2 1 K 1960: S K 1 Q K Q 3 2 2 2 K 3 K K 3 T A J A S T 3 A A J 3 T 9 1 1 A T 1 S 9 3 1 T 9 K 2000: 9 9 1 2 3 J 2 1 K 2 K T Q 3 T K 9 Q 1 K K 9 3 9 K T K 2 T 3 T 2 A A 2 2 9 Q Q Q 2040: Q A 1 J S 9 2 A 2 9 9 1 3 A 9 2 A 3 Q 9 2 A J 1 J 1 3 === REEL 5 (L=510) ===
0: H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H Q H K H 1 H 9 H 40: K H A H K H 3 H 3 H 9 H J H 2 H A H 3 H 2 H A H 2 H Q H A H 1 H 3 H T H T H 2 H 80: 9 H 9 H T H 9 H Q H T H K H K H 1 H 9 H K H A H S H 3 H 2 H A H 1 H 2 H 3 H K H 120: 3 H K H Q H S H 3 H Q H 2 H J H 3 H 2 H K H T H S H J H 2 Q 1 J K Q K 2 1 K 2 K 160: 1 Q K K 3 Q Q 3 1 A Q A J 3 A 9 T 3 Q 2 Q J J Q A T 9 T A J J J 2 3 Q Q S 9 Q 9 200: 1 T A T K 2 2 3 T T 1 3 9 9 3 A 9 K A 3 9 9 9 J K 3 T 3 Q A T T K J 2 K T 2 Q 3 240: Q K J K 1 J 3 A T J Q 3 1 1 1 A 1 2 3 T J T A J J K T 3 1 3 2 A T 1 A A A 9 T T 280: 1 3 3 2 T A Q Q Q 3 A J A S 1 J 9 T J S 1 2 3 S 1 K 2 J S 1 2 2 K 9 3 9 J J 1 K 320: 1 3 A K 1 T T A Q T T T K J T 2 9 T K 1 3 1 K J 2 Q S 9 3 K 3 3 3 A 1 J 1 1 2 9 360: A 2 T 9 Q T A 2 J 1 Q T A 2 1 2 9 2 1 T Q 9 A J S Q 2 2 Q Q 1 J T 1 9 1 Q 1 A Q 400: 2 T Q J Q J 1 A 2 9 J T 9 1 3 3 9 S 2 J J S K Q A T S 2 K Q J 9 K 1 A 9 1 3 2 9 440: 2 9 A 1 9 9 3 J 9 Q S 1 9 9 T 3 A Q K K Q 1 2 3 1 K K K J 2 Q 9 S J A 1 K K A Q 480: 3 J 9 S Q 9 K 2 A 2 9 3 1 A J J T K K T J A J 1 2 S A 2 2 1
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