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문제

It’s early in the morning and Croatian IOI team is starting to assemble at the Zagreb airport. The trip is long with the final destination being Singapore with a layover in Amsterdam. Mr. Malar drank the last drop of his grapefruit-based beverage and ordered the team to proceed to the gate. As it usually happens, he disappeared after the security check and somehow managed to show up just a few minutes before boarding.

Olympian 1: Where were you?! I swear you’re gonna miss the next flight if you keep doing this.

Mr. Malnar: It’s not my fault this time, the security wouldn’t let me through. They thought I might be a terrorist.

Olympian 2: A terrorist?! You wouldn’t hurt a fly. What happened?

Mr. Malnar: Ah, they found MalnaRISC (Reduced Instruction Set Computer) and refused to believe me that I am capable of building my own processor. They let me go once I explained how efficient it is at sorting integers.

Olympian 3: I also wouldn’t believe you. As a matter of fact, I still don’t. What makes your processor so interesting?

Mr. Malnar: You are members of our national IOI team, I shouldn’t need to explain anything to you. Here is the documentation, figure it out yourselves.

Olympian 4: Give that to me, I’ll solve this year’s COI on it using the assembly.

The assembly language for MalnaRISC contains a single instruction:

  • CMPSWP $R_i$ $R_j$ – swaps the values in registers $R_i$ and $R_j$ if $R_i > R_j$ holds.

What’s special about MalnaRISC is that all instructions written in the same line will execute in parallel during a single nanosecond. Naturally, each register can only be used at most once as an argument in a single line.

It is known that registers $R_1, R_2, \dots , R_N$ contain some integers. Write an efficient code in assembly that sorts these values in non-descending order.

입력

The only line contains an integer $N$ from the task description.

출력

Output an integer $t$ into the first line denoting the execution time of your program (in nanoseconds).

In the next $t$ lines output the assembly code that sorts the values in the $N$ registers. Each line should contain at least one instruction, and each register should only be mentioned once in a single line. Each instruction needs to be of the form "CMPSWP $R_i$ $R_j$" ($1 \le i, j \le N$), and the instructions in a single line need to be separated by a single space character.

점수

If you have outputted a correct program on some subtask that correctly sorts the values in registers in $t$ nanoseconds, your solutions will be scored according to the following expression: $$points(t) =  \begin{cases} 0  & t > t_1 \\ 100 + \frac{200}{t-t_2} & t_1 \ge t > t_2 \\ 300 + \frac{700(t_2-t+1)}{t_2-t_3} & t_2 \ge t > t_3 \\ 1000 & t_3 \ge t\end{cases}$$

The points for each subtask will be rounded down to nearest integer.

서브태스크

번호 배점 제한
1 1000

$N = 8, t_1 = 28, t_2 = 12, t_3 = 6$

2 1000

$N = 13, t_1 = 78, t_2 = 22, t_3 = 10$

3 1000

$N = 16, t_1 = 120, t_2 = 28, t_3 = 10$

4 1000

$N = 32, t_1 = 496, t_2 = 60, t_3 = 15$

5 1000

$N = 53, t_1 = 1378, t_2 = 102, t_3 = 21$

6 1000

$N = 64, t_1 = 2016, t_2 = 124, t_3 = 21$

7 1000

$N = 73, t_1 = 2628, t_2 = 142, t_3 = 28$

8 1000

$N = 82, t_1 = 3321, t_2 = 160, t_3 = 28$

9 1000

$N = 91, t_1 = 4095, t_2 = 178, t_3 = 29$

10 1000

$N = 100, t_1 = 4950, t_2 = 196, t_3 = 30$

예제 입력 1

2

예제 출력 1

1
CMPSWP R1 R2

예제 입력 2

3

예제 출력 2

3
CMPSWP R1 R2
CMPSWP R1 R3
CMPSWP R2 R3

예제 입력 3

4

예제 출력 3

4
CMPSWP R1 R3
CMPSWP R2 R4
CMPSWP R1 R2 CMPSWP R3 R4
CMPSWP R2 R3

채점 및 기타 정보

  • 예제는 채점하지 않는다.