A14141 | Floor and Mod
时间限制1s
内存限制256MB
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题目描述
A pair of positive integers $(a,b)$ is called special if $\lfloor \frac{a}{b} \rfloor = a \bmod b$ . Here, $\lfloor \frac{a}{b} \rfloor$ is the result of the integer division between $a$ and $b$ , while $a \bmod b$ is its remainder.
You are given two integers $x$ and $y$ . Find the number of special pairs $(a,b)$ such that $1\leq a \leq x$ and $1 \leq b \leq y$ .
You are given two integers $x$ and $y$ . Find the number of special pairs $(a,b)$ such that $1\leq a \leq x$ and $1 \leq b \leq y$ .
输入格式
The first line contains a single integer $t$ ( $1 \le t \le 100$ ) — the number of test cases.
The only line of the description of each test case contains two integers $x$ , $y$ ( $1 \le x,y \le 10^9$ ).
The only line of the description of each test case contains two integers $x$ , $y$ ( $1 \le x,y \le 10^9$ ).
输出格式
For each test case print the answer on a single line.
输入输出样例
输入 #1
9 3 4 2 100 4 3 50 3 12 4 69 420 12345 6789 123456 789 12345678 9
输出 #1
1 0 2 3 5 141 53384 160909 36
In the first test case, the only special pair is $(3, 2)$ .
In the second test case, there are no special pairs.
In the third test case, there are two special pairs: $(3, 2)$ and $(4, 3)$ .
In the second test case, there are no special pairs.
In the third test case, there are two special pairs: $(3, 2)$ and $(4, 3)$ .
C++ 编辑器
输入
输出
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评测结果:Accepted