Problem 365
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*[[Problem 365:http://projecteuler.net/problem=365]] 「巨大な二項係数」 [#b3c0cd98] 二項係数 C(10&sup{18};,10&sup{9};) は90億 (9×10&sup{9};) 以上の桁を持つ数である. 二項係数 C(n,k) の m を法とする剰余を表す関数を M(n,k,m) としよう. 1000<p<q<r<5000, かつ p,q,r が素数のときの ΣM(10&sup{18};,10&sup{9};,p*q*r) を計算せよ.
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*[[Problem 365:http://projecteuler.net/problem=365]] 「巨大な二項係数」 [#b3c0cd98] 二項係数 C(10&sup{18};,10&sup{9};) は90億 (9×10&sup{9};) 以上の桁を持つ数である. 二項係数 C(n,k) の m を法とする剰余を表す関数を M(n,k,m) としよう. 1000<p<q<r<5000, かつ p,q,r が素数のときの ΣM(10&sup{18};,10&sup{9};,p*q*r) を計算せよ.
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