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Function: require_once
수학동아 - 폴리매스
함께 풀고 싶은 문제
깊이 고민해볼 수 있는 수학 문제를 내는 곳입니다
[세상을 바꿀 문제] [★★★★★] 매직 퍼즐
솔바람
2020.12.22 18:04
조회 820
<문제>
25칸으로 나누어진 정사각형에 수를 넣어 빈칸을 모두 채우려고 한다.
아래 규칙을 보고 물음에 답하여라.
※ 규칙 ※
각 칸에는 서로 다른 자연수 25개를 넣어야 한다.
가장 큰 수와 가장 작은 수는 16개의 가장자리 칸에 넣을 수 없다.
완성된 퍼즐에서 수 하나를 색칠한 뒤, 그 수의 가로줄과 세로줄에 있는 다른 수들을 모두 지운다.
이런 식으로 색칠된 수들만 남을 때까지 같은 방법을 되풀이한다.
(이미 색칠된 수는 지울 수 없다.)
(1) 퍼즐을 만들었을 때 어떤 수를 선택하더라도 색칠된 수들의 합이 항상 같게 하려면, 어떻게 퍼즐을 만들어야 할까?
(2) (1)을 만족하는 퍼즐에서 색칠된 수들의 합을 n이라 하자. 그렇다면 n의 최솟값은?
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꼬마수학자
Lv.4
2020.12.22 18:46
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솔바람
Lv.10
2020.12.22 18:48
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꼬마수학자
Lv.4
2020.12.22 19:04
문제를 잘 못 읽었네요ㅠㅠ
다시 해보겠습니다!
좋아요0
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꼬마수학자
Lv.4
2020.12.22 20:14
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솔바람
Lv.10
2020.12.22 20:22
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꼬마수학자
Lv.4
2020.12.22 20:33
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솔바람
Lv.10
2020.12.22 20:34
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khr519
Lv.8
2020.12.22 21:45
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