Project Euler 110:Diophantine reciprocals II 丢番图倒数II
摘要:Diophantine reciprocals IIIn the following equation x, y, and n are positive integers.For n = 4 there are exactly three distinct solutions:It can be v...
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Project Euler 109 :Darts 飞镖
摘要:DartsIn the game of darts a player throws three darts at a target board which is split into twenty equal sized sections numbered one to twenty.The sco...
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Project Euler 108:Diophantine reciprocals I 丢番图倒数I
摘要:Diophantine reciprocals IIn the following equation x, y, and n are positive integers.For n = 4 there are exactly three distinct solutions:What is the ...
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Project Euler 107:Minimal network 最小网络
摘要:Minimal networkThe following undirected network consists of seven vertices and twelve edges with a total weight of 243.The same network can be represe...
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Project Euler 106:Special subset sums: meta-testing 特殊的子集和:元检验
摘要:Special subset sums: meta-testingLet S(A) represent the sum of elements in set A of sizen. We shall call it a special sum set if for any two non-empty...
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Project Euler P105:Special subset sums: testing 特殊的子集和 检验
摘要:Special subset sums: testingLet S(A) represent the sum of elements in set A of sizen. We shall call it a special sum set if for any two non-empty disj...
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Project Euler 104:Pandigital Fibonacci ends 两端为全数字的斐波那契数
摘要:Pandigital Fibonacci endsThe Fibonacci sequence is defined by the recurrence relation:F[n] = F[n-1] + F[n-2], where F[1] = 1 and F[2] = 1.It turns out...
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Project Euler 103:Special subset sums: optimum 特殊的子集和:最优解
摘要:Special subset sums: optimumLet S(A) represent the sum of elements in set A of size n. We shall call it a special sum set if for any two non-empty dis...
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Project Euler 101 :Optimum polynomial 最优多项式
摘要:Optimum polynomialIf we are presented with the first k terms of a sequence it is impossible to say with certainty the value of the next term, as there...
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Project Euler 100 : Arranged probability 安排概率
摘要:Arranged probabilityIf a box contains twenty-one coloured discs, composed of fifteen blue discs and six red discs, and two discs were taken at random,...
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Project Euler 99:Largest exponential 最大的幂
摘要:Largest exponential Comparing two numbers written in index form like 211 and 37 is not difficult, as any calculator would confirm that 211 = 2048 < 37
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Project Euler 98:Anagramic squares 重排平方数
摘要:Anagramic squaresBy replacing each of the letters in the word CARE with 1, 2, 9, and 6 respectively, we form a square number: 1296 = 362. What is rema...
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Project Euler 97 :Large non-Mersenne prime 非梅森大素数
摘要:Large non-Mersenne primeThe first known prime found to exceed one million digits was discovered in 1999, and is a Mersenne prime of the form 26972593−...
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Project Euler 96:Su Doku 数独
摘要:Su DokuSu Doku (Japanese meaningnumber place) is the name given to a popular puzzle concept. Its origin is unclear, but credit must be attributed to L...
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Project Euler 95:Amicable chains 亲和数链
摘要:Amicable chainsThe proper divisors of a number are all the divisors excluding the number itself. For example, the proper divisors of 28 are 1, 2, 4, 7...
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Project Euler 94:Almost equilateral triangles 几乎等边的三角形
摘要:Almost equilateral trianglesIt is easily proved that no equilateral triangle exists with integral length sides and integral area. However, thealmost e...
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Project Euler 93:Arithmetic expressions 算术表达式
摘要:Arithmetic expressionsBy using each of the digits from the set, {1, 2, 3, 4}, exactly once, and making use of the four arithmetic operations (+, −, *,...
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Project Euler 92:Square digit chains 平方数字链
摘要:题目Square digit chainsA number chain is created by continuously adding the square of the digits in a number to form a new number until it has been seen...
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Project Euler 91:Right triangles with integer coordinates 格点直角三角形
摘要:Right triangles with integer coordinatesThe points P (x1, y1) and Q (x2, y2) are plotted at integer co-ordinates and are joined to the origin, O(0,0),...
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Project Euler 90:Cube digit pairs 立方体数字对
摘要:Cube digit pairsEach of the six faces on a cube has a different digit (0 to 9) written on it; the same is done to a second cube. By placing the two cu...
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