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수학동아 - 폴리매스
함께 풀고 싶은 문제
창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.
연어의 서재
2021.04.26 07:46
조회 418
연련은 좌측 상단에서부터 2^9의 자리부터 지수를 1씩 줄이도록 한 자리수에 대한 이진등(1의 값을 소유할 시에만 켜짐)이 위치해 있다. 각 이진등은 규격이
모두 동일하며 정사각형 형상을 띈다. 전 등의 각도는 90n(n은 임의의 양의 정수)도로 무작위 설정되어지며 등 외에는 빛의 유입량이 전무하여 등 전반의 형체를 인지 불가하다 가정한다.
이 때, 점등된 등에 해당하는 값의 경우당 합의 평균이 13번째로 큰 형태들 내에서 켜진 등에 해당하는 값의 합 중 가장 큰 수와 두번째로 큰 수를 모두 구하여라.
일례로
위와 동일한 형상 내에서 켜진 등에 해당하는 2의 거듭제곱을 합산한 가장 큰 값는 29+28+25+23=808, 두번째로 큰 값는 29+27+25+24=688입니다.
혹시 위 문제를 이해 불가하실 경우 비밀댓글로 문의하셔도 물론 무방합니다.
지금 바로
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