2013
11-11

# Steps

One steps through integer points of the straight line. The length of a step must be nonnegative and can be by one bigger than, equal to, or by one smaller than the length of the previous step.

What is the minimum number of steps in order to get from x to y? The length of the first and the last step must be 1.

Input consists of a line containing n, the number of test cases.

For each test case, a line follows with two integers: 0 <= x <= y < 2^31. For each test case, print a line giving the minimum number of steps to get from x to y.

3
45 48
45 49
45 50


3
3
4


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import java.util.Scanner;
public class Main
{
public static void main(String[] args)
{
Scanner in=new Scanner(System.in);
int a=in.nextInt();
for(int i=0;i< a;i++)
{
long x=in.nextLong();
x=in.nextLong()-x;
long b=(long)Math.sqrt(x);
long ans=-1;
if(b==0) ans=0;
else if(b*b==x)ans=2*b-1;
else if(x<=b*b+b)ans=2*b;
else ans=2*b+1;
System.out.println(ans);
}
}
}

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2. a是根先忽略掉，递归子树。剩下前缀bejkcfghid和后缀jkebfghicd，分拆的原则的是每个子树前缀和后缀的节点个数是一样的，根节点出现在前缀的第一个，后缀的最后一个。根节点b出现后缀的第四个位置，则第一部分为四个节点，前缀bejk，后缀jkeb，剩下的c出现在后缀的倒数第2个，就划分为cfghi和 fghic，第3部分就为c、c