A15061 | Getting Zero
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题目描述
Suppose you have an integer $v$ . In one operation, you can:
- either set $v = (v + 1) \bmod 32768$
- or set $v = (2 \cdot v) \bmod 32768$ .
You are given $n$ integers $a_1, a_2, \dots, a_n$ . What is the minimum number of operations you need to make each $a_i$ equal to $0$ ?
- either set $v = (v + 1) \bmod 32768$
- or set $v = (2 \cdot v) \bmod 32768$ .
You are given $n$ integers $a_1, a_2, \dots, a_n$ . What is the minimum number of operations you need to make each $a_i$ equal to $0$ ?
输入格式
The first line contains the single integer $n$ ( $1 \le n \le 32768$ ) — the number of integers.
The second line contains $n$ integers $a_1, a_2, \dots, a_n$ ( $0 \le a_i < 32768$ ).
The second line contains $n$ integers $a_1, a_2, \dots, a_n$ ( $0 \le a_i < 32768$ ).
输出格式
Print $n$ integers. The $i$ -th integer should be equal to the minimum number of operations required to make $a_i$ equal to $0$ .
输入输出样例
输入 #1
4 19 32764 10240 49
输出 #1
14 4 4 15
Let's consider each $a_i$ :
- $a_1 = 19$ . You can, firstly, increase it by one to get $20$ and then multiply it by two $13$ times. You'll get $0$ in $1 + 13 = 14$ steps.
- $a_2 = 32764$ . You can increase it by one $4$ times: $32764 \rightarrow 32765 \rightarrow 32766 \rightarrow 32767 \rightarrow 0$ .
- $a_3 = 10240$ . You can multiply it by two $4$ times: $10240 \rightarrow 20480 \rightarrow 8192 \rightarrow 16384 \rightarrow 0$ .
- $a_4 = 49$ . You can multiply it by two $15$ times.
- $a_1 = 19$ . You can, firstly, increase it by one to get $20$ and then multiply it by two $13$ times. You'll get $0$ in $1 + 13 = 14$ steps.
- $a_2 = 32764$ . You can increase it by one $4$ times: $32764 \rightarrow 32765 \rightarrow 32766 \rightarrow 32767 \rightarrow 0$ .
- $a_3 = 10240$ . You can multiply it by two $4$ times: $10240 \rightarrow 20480 \rightarrow 8192 \rightarrow 16384 \rightarrow 0$ .
- $a_4 = 49$ . You can multiply it by two $15$ times.
C++ 编辑器
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输出
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评测结果:Accepted