A16138 | Game Bundles
时间限制1s
内存限制256MB
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题目描述
Rishi is developing games in the 2D metaverse and wants to offer game bundles to his customers. Each game has an associated enjoyment value. A game bundle consists of a subset of games whose total enjoyment value adds up to $60$ .
Your task is to choose $k$ games, where $1 \leq k \leq 60$ , along with their respective enjoyment values $a_1, a_2, \dots, a_k$ , in such a way that exactly $m$ distinct game bundles can be formed.
Your task is to choose $k$ games, where $1 \leq k \leq 60$ , along with their respective enjoyment values $a_1, a_2, \dots, a_k$ , in such a way that exactly $m$ distinct game bundles can be formed.
输入格式
The input is a single integer $m$ ( $1 \le m \le 10^{10}$ ) — the desired number of game bundles.
输出格式
The first line should contain an integer $k$ ( $1 \le k \le 60$ ) — the number of games.
The second line should contain $k$ integers, $a_1, a_2, \dots, a_k$ ( $1 \le a_1, a_2, \dots, a_k \le 60$ ) — the enjoyment values of the $k$ games.
The second line should contain $k$ integers, $a_1, a_2, \dots, a_k$ ( $1 \le a_1, a_2, \dots, a_k \le 60$ ) — the enjoyment values of the $k$ games.
输入输出样例
输入 #1
4
输出 #1
4 20 20 20 20
输入 #2
722
输出 #2
15 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
输入 #3
1
输出 #3
1 60
In the first sample, any subset of size $3$ is a game bundle. There are $4$ such subsets.
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评测结果:Accepted