"Mistakes are the portals of discovery"与"闻过则喜"

最新推荐文章于 2021-02-06 17:57:42 发布
最新推荐文章于 2021-02-06 17:57:42 发布 · 685 阅读 · 0

Mistakes are the portals of discovery
　　--古人有云"闻过则喜".何也?
        今天看了上面那句英文句子,就总结出一条来:发现的这个"过"正好为自己的成长又多了一个台阶.这是"喜"的原因之一.
        原因之二为:说到闻过,那是听到别人这么说,这样告诉自己的那个人岂不又是自己的一个挚友?想想现在又有几个人在看到自己的不足时能给你把这个"过"说出来呢?
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Fibonacci numbers are the sequence of integers: f 0 = 0 f 0 ​ =0 , f 1 = 1 f 1 ​ =1 , f 2 = 1 f 2 ​ =1 , f 3 = 2 f 3 ​ =2 , f 4 = 3 f 4 ​ =3 , f 5 = 5 f 5 ​ =5 , . . . ... , f n = f n − 2 + f n − 1 f n ​ =f n−2 ​ +f n−1 ​ . So every next number is the sum of the previous two. Bajtek has developed a nice way to compute Fibonacci numbers on a blackboard. First, he writes a 0. Then, below it, he writes a 1. Then he performs the following two operations: operation "T": replace the top number with the sum of both numbers; operation "B": replace the bottom number with the sum of both numbers. If he performs n n operations, starting with "T" and then choosing operations alternately (so that the sequence of operations looks like "TBTBTBTB . . . ... "), the last number written will be equal to f n + 1 f n+1 ​ . Unfortunately, Bajtek sometimes makes mistakes and repeats an operation two or more times in a row. For example, if Bajtek wanted to compute f 7 f 7 ​ , then he would want to do n = 6 n=6 operations: "TBTBTB". If he instead performs the sequence of operations "TTTBBT", then he will have made 3 mistakes, and he will incorrectly compute that the seventh Fibonacci number is 10. The number of mistakes in the sequence of operations is the number of neighbouring equal operations («TT» or «BB»). You are given the number n n of operations that Bajtek has made in an attempt to compute f n + 1 f n+1 ​ and the number r r that is the result of his computations (that is last written number). Find the minimum possible number of mistakes that Bajtek must have made and any possible sequence of n n operations resulting in r r with that number of mistakes. Assume that Bajtek always correctly starts with operation "T". 输入格式 The first line contains the integers n n and r r ( 1 < = n , r < = 1 0 6 ) 1<=n,r<=10 6 ) . 输出格式 The first line of the output should contain one number — the minimum possible number of mistakes made by Bajtek.用c++写
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