Python problem: Replace of the ten Xs in the simple sum shown below with a digit drawn without-replacement from the set of 10 digits [ 1,1,2,2,4,4,7,7,8,9 ] (the duplicates are intended) so that the sum is correct. Each digit is used exactly one time in each candidate replacement. X5XX + XXX3 = XX6XX Note There are 10! = 3,628,800 candidate permutations to check and 96 of the candidate permutations qualify as solutions. Of those 96 solutions, only 96 ÷ (2!×2!×2!×2!) = 6 are unique soultions. Sample Output: 4524 + 8173 = 12697 4574 + 8123 = 12697 8524 + 4173 = 12697 8524 + 9123 = 17647 8574 + 4123 = 12697 9524 + 8123 = 17647
Python problem: Replace of the ten Xs in the simple sum shown below with a digit drawn without-replacement from the set of 10 digits [ 1,1,2,2,4,4,7,7,8,9 ] (the duplicates are intended) so that the sum is correct. Each digit is used exactly one time in each candidate replacement. X5XX + XXX3 = XX6XX Note There are 10! = 3,628,800 candidate permutations to check and 96 of the candidate permutations qualify as solutions. Of those 96 solutions, only 96 ÷ (2!×2!×2!×2!) = 6 are unique soultions. Sample Output: 4524 + 8173 = 12697 4574 + 8123 = 12697 8524 + 4173 = 12697 8524 + 9123 = 17647 8574 + 4123 = 12697 9524 + 8123 = 17647
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Python problem:
Replace of the ten Xs in the simple sum shown below with a digit drawn without-replacement from the set of 10 digits [ 1,1,2,2,4,4,7,7,8,9 ] (the duplicates are intended) so that the sum is correct. Each digit is used exactly one time in each candidate replacement.
X5XX + XXX3 = XX6XX
Note There are 10! = 3,628,800 candidate permutations to check and 96 of the candidate permutations qualify as solutions. Of those 96 solutions, only 96 ÷ (2!×2!×2!×2!) = 6 are unique soultions.
Sample Output:
4524 + 8173 = 12697
4574 + 8123 = 12697
8524 + 4173 = 12697
8524 + 9123 = 17647
8574 + 4123 = 12697
9524 + 8123 = 17647
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