CCC '98 S2 - Cross Number Puzzle - Olympiads Online Judge

CCC '98 S2 - Cross Number Puzzle

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Points: 5 (partial)

Time limit: 2.0s

Memory limit: 256M

Problem type

Write a program to print:

The perfect numbers between $1\,000$ ~1\,000~ and $9\,999$ ~9\,999~ inclusive. A perfect number is a positive integer which is equal to the sum of its proper divisors. A proper divisor is any divisor less than the number itself. For example, $6$ ~6~ is a perfect number since $1 + 2 + 3 = 6$ ~1 + 2 + 3 = 6~.
All integers between $100$ ~100~ and $999$ ~999~ inclusive which are equal to the sum of the cubes of their digits.

Input Specification

There is no input.

Output Specification

All the perfect numbers between $1\,000$ ~1\,000~ and $9\,999$ ~9\,999~ inclusive on one line, followed by all integers between $100$ ~100~ and $999$ ~999~ inclusive which are equal to the sum of the cubes of their digits on one line.

Comments

3

gavin_chen commented on June 6, 2022, 12:48 a.m.

the numbers look big but the answers might shock you...

8

JeremyYang commented on April 25, 2021, 9:03 p.m.

*the numbers are separated by spaces

-42
cheese123 commented on Aug. 31, 2017, 5:48 p.m.
Clues: ACROSS :

A 4-digit perfect number.

A 4-digit palindrome. (A palindrome is a number which reads the same right to left as it does left to right. For example : 1221)

A 3-digit number that is equal to the sum of the cubes of its digits. DOWN :

A pair of twin primes. (Primes which differ by 2; for example 3 and 5 are twin primes)

A 4-digit perfect square.

A prime number.
This comment is hidden due to too much negative feedback. Show it anyway.

9

WEAVER commented on June 6, 2022, 8:47 p.m.

bro why is this downvoted