Problem Description
Our lovely KK has a difficult mathematical problem:he has a N(1≤N≤1018) meters steel,he will cut it into steels as many as possible,and he doesn't want any two of them be the same length or any three of them can form a triangle.
Input
The first line of the input file contains an integer T(1≤T≤10), which indicates the number of test cases.Each test case contains one line including a integer N(1≤N≤1018),indicating the length of the steel.
Output
For each test case, output one line, an integer represent the maxiumum number of steels he can cut it into.
Sample Input
1 6
Sample Output
3
Hint
1+2+3=6 but 1+2=3 They are all different and cannot make a triangle.
Source
题意:
给你一个长度为N的钢管,问最多切成几个钢管,使得这些钢管不能围成三角形,并且不能有相同长度 !
思路:
要想使得钢管尽量多,那肯定从1开始吧,有了1,且不能重复,那肯定找2吧,而且三个钢管不能围成,三角形,那直接找a1 + a2 = a3的情况不就恰好不能围成三角形吗。所以很明显,这是一个a1 = 1,a2 = 2的斐波那契数列,找到第一个i 是的前i项和大于N,即可!特殊判断N = 1,N=2即可!他们都是1!
1 #pragma comment(linker, "/STACK:1024000000,1024000000") 2 #include3 #include 4 #include 5 #include 6 #include 7 #include 8 #include 9 #include 10 #include 11 #include