341

1497

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7 年

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• 1推荐

欧拉计划616题:创新数

Creative numbers Problem 616 Alice plays the following game, she starts with a list of integers L and on each step she can either: •remov…...

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欧拉计划615题:第1百万个包含至少1百万个质因数的数

The millionth number with at least one million prime factors Problem 615 Consider the natural numbers having at least 5 prime factors, w…...

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欧拉计划614题:特别分解2

An integer partition of a number n is a way of writing n as a sum of positive integers. Partitions that differ only by the order of their …...

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欧拉计划613题:勾股三角形蚂蚁

Pythagorean Ant Problem 613 Dave is doing his homework on the balkony and, prepairing a presentation about Pythogorean triangles, has ju…...

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欧拉计划612题:朋友数

若两个数的10进制表示有同样的数字,则它们是朋友数 。 如1123和3981是朋友数. 设 f(n) 是数字对(p,q)的个数,其中1&lt;=p&lt; q&lt; n且p和q是朋友数 。 f(100)=1539 。 求f(10 18 ) mod 1000267129 . ...

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欧拉计划611题:平方步走廊

Peter moves in a hallway with N+1 doors consecutively numbered from 0 through N. All doors are initially closed. Peter starts in front of d…...

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欧拉计划566题:蛋糕糖衣谜题

![enter image description here][1] http://pe-cn.github.io/566/ 亚当在拿他的生日蛋糕玩游戏。 他先切下一块圆心角60度的扇形，把这块颠倒过来，糖衣放在下面。 然后他将蛋糕逆时针转60度，切下相邻的60度扇形，也颠倒…...

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欧拉计划561题:因子对

Divisor Pairs Problem 561 Let S(n) be the number of pairs (a,b) of distinct divisors of n such that a divides b. For n = 6 we get the fo…...

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欧拉计划608题:因数和

Divisor Sums Problem 608 Let D(m,n)=∑d|m∑k=1nσ0(kd) where d runs through all divisors of m and σ0(n)is the number of divisors of n . You a… ...

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欧拉计划606题:因子链 II

Gozinta Chains II A gozinta chain for n is a sequence {1,a,b,...,n} where each element properly divides the next. For example, there are…...

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欧拉计划605题:结对投币游戏

Consider an n -player game played in consecutive pairs: Round 1 takes place between players 1 and 2 , round 2 takes place between players 2…...