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+--- Thread: (15C) Pythagorean Triples (/thread-8004.html)
(15C) Pythagorean Triples - Eddie W. Shore - 03-23-2017 03:34 AM
This program calculates the Pythagorean triple (A, B, C) such that A^2 + B^2 = C^2 by the formulas:
A = K * (M^2 – N^2)
B = K * (2 * M * N)
C = K * (M^2 + N^2)
The conditions are M, N, and K are all positive integers where M > N.
Store M into memory 0, N into memory 1, and K into memory 2. A, B, and C are stored in memories 3, 4, and 5, respectively. If no such combination can be found, a single zero (0) is returned.
Code:
Step Key Code
001 LBL A 42, 21, 11
002 RCL 1 45, 1
003 RCL 0 45, 0
004 X≤0 43, 10
005 GTO 0 22, 0
006 RCL 0 45, 0
007 X^2 43, 11
008 RCL 1 45, 1
009 X^2 43, 11
010 - 30
011 STO 3 44, 3
012 LST X 43, 36
013 2 2
014 * 20
015 + 40
016 STO 5 44, 5
017 RCL 0 45, 0
018 RCL* 1 45, 20, 1
019 2 2
020 * 20
021 STO 4 44, 4
022 RCL 2 45, 2
023 STO* 3 44, 20, 3
024 STO* 4 44, 20, 4
025 STO* 5 44, 20, 5
026 RCL 3 45, 3
027 X^2 43, 11
028 RCL 4 45, 4
029 X^2 43, 11
030 + 40
031 RCL 5 45, 5
032 X^2 43, 11
033 - 30
034 X=0 43, 20
035 GTO 1 22, 1
036 LBL 0 42, 22, 1
037 0 0
038 RTN 43, 32
039 LBL 1 42, 21, 1
040 RCL 3 45, 3
041 R/S 31
042 RCL 4 45, 4
043 R/S 31
044 RCL 5 45, 5
045 RTN 43, 32Example: Input: R0 = M = 4, R1 = N = 1, R2 = 2. Output: 30, 16, 34