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Why is number 3 special?

Throughout human history, the number 3 has always had a unique significance, but why? The ancient Greek philosopher, Pythagoras, postulated that the meaning behind numbers was deeply significant. In their eyes the number 3 was considered as the perfect number, the number of harmony, wisdom and understanding.

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Throughout human history, the number 3 has always had a unique significance, but why? The ancient Greek philosopher, Pythagoras, postulated that the meaning behind numbers was deeply significant. In their eyes the number 3 was considered as the perfect number, the number of harmony, wisdom and understanding. It was also the number of time – past, present, future; birth, life, death; beginning, middle, end – it was the number of the divine. Three is often the magic number in fairy tales and this certainly rings true in our ‘visually sumptuous’ (Wales Arts Review) production of Mozart’s beloved The Magic Flute . Our prince charming Tamino is rescued from a big orange lobster by Three Ladies – servants of the Queen of the Night - dressed as nannies or governesses, marking the beginning of his journey of self-discovery and enlightenment. During his quest he is guided by Three Boys who lead him to Sarastro’s temple (the spirits only appear in Sarastro’s kingdom). The number 3 is also associated with the Freemasons, of which Mozart and his librettist Schikaneder were members, and the theme of 3 appears repeatedly in the piece – both on stage and in the pit. The opera’s opening overture is written in Eb Major, which has 3 flats, and it begins with 3 chordal gestures, imitating the secret knock that masons would have used in Vienna at the time to gain access to their Lodges. Our irresistible production was designed by Julian Crouch and he emphasised the magical number by having 3 doors in each of the set’s 3 walls. Strength, beauty and wisdom also symbolize the 3 great pillars of the Lodges. Inscriptions upon the 3 temples refer to Nature, Reason and Wisdom, also of Masonic origin. To the Viennese of that day, political symbolism was easily and broadly interpreted; they saw the opera's Queen of the Night as no one other than their own Empress Maria Theresa, the hero Tamino was seen to be the “good” Emperor Joseph and the heroine Pamina was the Austrian people itself. Pythagoras believed that the number 3 stood for good fortune and following recent reviews for our revival production, we agree. Described by the critics as ‘an unabashedly entertaining evening of operatic pantomime’ (Bachtrack), don’t miss our re-telling of Mozart’s coming of age story at a theatre near you this Spring Season.

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Is perfect number C++?

Perfect Number in C++ A number is said to be a Perfect Number when that is equal to the sum of all its positive divisors except itself. The number n will be in range 1^8. So, if the input is like 28, then the output will be True, as its sum of divisors − 1 + 2 + 4 + 7+ 14 = 28.

Suppose we have to check whether a given number is perfect number or not. A number is said to be a Perfect Number when that is equal to the sum of all its positive divisors except itself. The number n will be in range 1^8. So, if the input is like 28, then the output will be True, as its sum of divisors − 1 + 2 + 4 + 7+ 14 = 28.

To solve this, we will follow these steps −

As the numbers are in range 10^8, there are only few perfect numbers, if the given input is in that set, then answer will be true, otherwise false. The perfect numbers are 6, 28, 496, 8128 and 33550336.

Example

Let us see the following implementation to get better understanding −

Live Demo

#include using namespace std; class Solution { public: bool checkPerfectNumber(int num) { set set={6,28,496,8128,33550336}; return set.find(num)!=set.end(); } }; main(){ Solution ob; cout << (ob.checkPerfectNumber(28)); }

Input

28

Output

1

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