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akun

APMO 2017 No 1 - Bilangan aturable

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Sebutlah \(5\)-tupel bilangan bulat aturable jika elemen-elemennya dapat diberi label \(a, b, c, d, e\) dalam urutan tertentu sehingga \(a - b + c - d + e = 29\). Tentukan semua \(2017\)-tupel bilangan bulat \(n_1,n_2,...,n_{2017}\) sehingga jika kita menempatkan bilangan tersebut dalam lingkaran dengan urutan searah jarum jam, maka sebarang \(5\)-tupel bilangan dalam posisi yang berurutan pada lingkaran dapat disusun.

Edited by akun

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