A14143 | Add and Divide
时间限制1s
内存限制256MB
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题目描述
You have two positive integers $a$ and $b$ .
You can perform two kinds of operations:
- $a = \lfloor \frac{a}{b} \rfloor$ (replace $a$ with the integer part of the division between $a$ and $b$ )
- $b=b+1$ (increase $b$ by $1$ )
Find the minimum number of operations required to make $a=0$ .
You can perform two kinds of operations:
- $a = \lfloor \frac{a}{b} \rfloor$ (replace $a$ with the integer part of the division between $a$ and $b$ )
- $b=b+1$ (increase $b$ by $1$ )
Find the minimum number of operations required to make $a=0$ .
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 $a$ , $b$ ( $1 \le a,b \le 10^9$ ).
The only line of the description of each test case contains two integers $a$ , $b$ ( $1 \le a,b \le 10^9$ ).
输出格式
For each test case, print a single integer: the minimum number of operations required to make $a=0$ .
输入输出样例
输入 #1
6 9 2 1337 1 1 1 50000000 4 991026972 997 1234 5678
输出 #1
4 9 2 12 3 1
In the first test case, one of the optimal solutions is:
1. Divide $a$ by $b$ . After this operation $a = 4$ and $b = 2$ .
2. Divide $a$ by $b$ . After this operation $a = 2$ and $b = 2$ .
3. Increase $b$ . After this operation $a = 2$ and $b = 3$ .
4. Divide $a$ by $b$ . After this operation $a = 0$ and $b = 3$ .
1. Divide $a$ by $b$ . After this operation $a = 4$ and $b = 2$ .
2. Divide $a$ by $b$ . After this operation $a = 2$ and $b = 2$ .
3. Increase $b$ . After this operation $a = 2$ and $b = 3$ .
4. Divide $a$ by $b$ . After this operation $a = 0$ and $b = 3$ .
C++ 编辑器
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输出
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评测结果：Accepted