google的一道JAVA面试题!!!
java代码:
Consider a function which, for a given whole number n, returns the number of ones required when writing out all numbers between 0 and n. For example, f(13)=6. Notice that f(1)=1. What is the next largest n such that f(n)=n?
翻译过来大体是这样：
有一个整数n,写一个函数f(n),返回0到n之间出现的"1"的个数。比如f(13)=6,现在f(1)=1,问下一个最大的f(n)=n的n是什么？
答案一：
int getCountOfNumber(int number){ int count=0; int length=("" + number).length(); for(int i=0;i<=length;i++){ int num=number%10; number=(number-num)/10; if(num*num==1) count++; } return count; }
计算到：199981 用了203
不过只计算到上边的数值就没多大意思，看看这个：
这个是4000000000以内的结果！：
f(0) = 0
f(1) = 1
f(199981) = 199981
f(199982) = 199982
f(199983) = 199983
f(199984) = 199984
f(199985) = 199985
f(199986) = 199986
f(199987) = 199987
f(199988) = 199988
f(199989) = 199989
f(199990) = 199990
f(200000) = 200000
f(200001) = 200001
f(1599981) = 1599981
f(1599982) = 1599982
f(1599983) = 1599983
f(1599984) = 1599984
f(1599985) = 1599985
f(1599986) = 1599986
f(1599987) = 1599987
f(1599988) = 1599988
f(1599989) = 1599989
f(1599990) = 1599990
f(2600000) = 2600000
f(2600001) = 2600001
f(13199998) = 13199998
f(35000000) = 35000000
f(35000001) = 35000001
f(35199981) = 35199981
f(35199982) = 35199982
f(35199983) = 35199983
f(35199984) = 35199984
f(35199985) = 35199985
f(35199986) = 35199986
f(35199987) = 35199987
f(35199988) = 35199988
f(35199989) = 35199989
f(35199990) = 35199990
f(35200000) = 35200000
f(35200001) = 35200001
f(117463825) = 117463825
f(500000000) = 500000000
f(500000001) = 500000001
f(500199981) = 500199981
f(500199982) = 500199982
f(500199983) = 500199983
f(500199984) = 500199984
f(500199985) = 500199985
f(500199986) = 500199986
f(500199987) = 500199987
f(500199988) = 500199988
f(500199989) = 500199989
f(500199990) = 500199990
f(500200000) = 500200000
f(500200001) = 500200001
f(501599981) = 501599981
f(501599982) = 501599982
f(501599983) = 501599983
f(501599984) = 501599984
f(501599985) = 501599985
f(501599986) = 501599986
f(501599987) = 501599987
f(501599988) = 501599988
f(501599989) = 501599989
f(501599990) = 501599990
f(502600000) = 502600000
f(502600001) = 502600001
f(513199998) = 513199998
f(535000000) = 535000000
f(535000001) = 535000001
f(535199981) = 535199981
f(535199982) = 535199982
f(535199983) = 535199983
f(535199984) = 535199984
f(535199985) = 535199985
f(535199986) = 535199986
f(535199987) = 535199987
f(535199988) = 535199988
f(535199989) = 535199989
f(535199990) = 535199990
f(535200000) = 535200000
f(535200001) = 535200001
f(1111111110) = 1111111110
有人用c写了一个，得出这些结果只用了几十毫秒！
有更好思路的MAIL IT TO ME。 thanks~:) safecn@gmail.com
