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author冯昶 <fengchang@novel-supertv.com>2023-12-11 18:11:32 +0800
committer冯昶 <fengchang@novel-supertv.com>2023-12-11 18:11:32 +0800
commite94f52525bf99cded9ba76e696b691c7a657500b (patch)
tree4e614b7233580b0aee9c58e23e87eff5e9331aee /challenge-246/packy-anderson/python/ch-2.py
parent4ac02978fd0732a7fcc61a9def95e1e08100e4c9 (diff)
parent98df168725aa587bd4db1e24018dae1ca77b29da (diff)
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Merge remote-tracking branch 'upstream/master'
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diff --git a/challenge-246/packy-anderson/python/ch-2.py b/challenge-246/packy-anderson/python/ch-2.py
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+#!/usr/bin/env python
+
+def findPandQ(a):
+ p = (
+ (a[2] * a[2] - a[1] * a[3])
+ /
+ (a[0] * a[2] - a[1] * a[1])
+ )
+ q = (
+ (a[0] * a[3] - a[2] * a[1])
+ /
+ (a[0] * a[2] - a[1] * a[1])
+ )
+ return(p, q)
+
+
+def isLinearRecurranceOfSecondOrder(a):
+ (p1, q1) = findPandQ(a[0:4])
+ (p2, q2) = findPandQ(a[1:5])
+ if p1 != p2 or q1 != q2:
+ print(f'Values for P ({p1}, {p2}) ', end='')
+ print(f'and Q ({q1}, {q2}) ', end='')
+ print(f'are not consistent across all five elements')
+ return False
+ if p1 != int(p1) or q1 != int(q1):
+ print(f'Values for P ({p1}) ', end='')
+ print(f'and Q ({q1}) ', end='')
+ print(f'for first four elements are not integers')
+ return False
+
+ print(f'Found integer values for P ({int(p1)}) ', end='')
+ print(f'and Q ({int(q1)})')
+ return True
+
+def comma_join(a):
+ return ', '.join(map(str, a))
+
+def solution(a):
+ print(f'Input: @a = ({comma_join(a)})')
+ result = isLinearRecurranceOfSecondOrder(a)
+ print(f'Output: {result}')
+
+print('Example 1:')
+solution([1, 1, 2, 3, 5])
+
+print('\nExample 2:')
+solution([4, 2, 4, 5, 7])
+
+print('\nExample 3:')
+solution([4, 1, 2, -3, 8]) \ No newline at end of file