A12175. Ehab and a 2-operation task
编程题
普及/提高-
知识点
题目描述
You're given an array $a$ of length $n$ . You can perform the following operations on it:
- choose an index $i$ $(1 \le i \le n)$ , an integer $x$ $(0 \le x \le 10^6)$ , and replace $a_j$ with $a_j+x$ for all $(1 \le j \le i)$ , which means add $x$ to all the elements in the prefix ending at $i$ .
- choose an index $i$ $(1 \le i \le n)$ , an integer $x$ $(1 \le x \le 10^6)$ , and replace $a_j$ with $a_j \% x$ for all $(1 \le j \le i)$ , which means replace every element in the prefix ending at $i$ with the remainder after dividing it by $x$ .
Can you make the array strictly increasing in no more than $n+1$ operations?
- choose an index $i$ $(1 \le i \le n)$ , an integer $x$ $(0 \le x \le 10^6)$ , and replace $a_j$ with $a_j+x$ for all $(1 \le j \le i)$ , which means add $x$ to all the elements in the prefix ending at $i$ .
- choose an index $i$ $(1 \le i \le n)$ , an integer $x$ $(1 \le x \le 10^6)$ , and replace $a_j$ with $a_j \% x$ for all $(1 \le j \le i)$ , which means replace every element in the prefix ending at $i$ with the remainder after dividing it by $x$ .
Can you make the array strictly increasing in no more than $n+1$ operations?
输入格式
The first line contains an integer $n$ $(1 \le n \le 2000)$ , the number of elements in the array $a$ .
The second line contains $n$ space-separated integers $a_1$ , $a_2$ , $\dots$ , $a_n$ $(0 \le a_i \le 10^5)$ , the elements of the array $a$ .
The second line contains $n$ space-separated integers $a_1$ , $a_2$ , $\dots$ , $a_n$ $(0 \le a_i \le 10^5)$ , the elements of the array $a$ .
输出格式
On the first line, print the number of operations you wish to perform. On the next lines, you should print the operations.
To print an adding operation, use the format " $1$ $i$ $x$ "; to print a modding operation, use the format " $2$ $i$ $x$ ". If $i$ or $x$ don't satisfy the limitations above, or you use more than $n+1$ operations, you'll get wrong answer verdict.
To print an adding operation, use the format " $1$ $i$ $x$ "; to print a modding operation, use the format " $2$ $i$ $x$ ". If $i$ or $x$ don't satisfy the limitations above, or you use more than $n+1$ operations, you'll get wrong answer verdict.
输入输出样例
输入 #1
3 1 2 3
输出 #1
0
输入 #2
3 7 6 3
输出 #2
2 1 1 1 2 2 4
说明/提示
In the first sample, the array is already increasing so we don't need any operations.
In the second sample:
In the first step: the array becomes $[8,6,3]$ .
In the second step: the array becomes $[0,2,3]$ .
In the second sample:
In the first step: the array becomes $[8,6,3]$ .
In the second step: the array becomes $[0,2,3]$ .