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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
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Task/Partition-function-P/Picat/partition-function-p.picat Normal file
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/* Picat 3.0#5 */
/* Author: Hakan Kjellerstrand */
table
partition1(0) = 1.
partition1(N) = P =>
S = 0,
K = 1,
M = (K*(3*K-1)) // 2,
while (M <= N)
S := S - ((-1)**K)*partition1(N-M),
K := K + 1,
M := (K*(3*K-1)) // 2
end,
K := 1,
M := (K*(3*K+1)) // 2,
while (M <= N)
S := S - ((-1)**K)*partition1(N-M),
K := K + 1,
M := (K*(3*K+1)) // 2
end,
P = S.
Picat> time(println('p(6666)'=partition1(6666)))
p(6666) = 193655306161707661080005073394486091998480950338405932486880600467114423441282418165863
CPU time 0.206 seconds.