CodeForces 668A Little Artem and Matrix

A. Little Artem and Matrix

time limit per test

2 seconds

memory limit per test

256 megabytes

input

standard input

output

standard output

Little Artem likes electronics. He can spend lots of time making different schemas and looking for novelties in the nearest electronics store. The new control element was delivered to the store recently and Artem immediately bought it.

That element can store information about the matrix of integers size n × m. There are n + m inputs in that element, i.e. each row and each column can get the signal. When signal comes to the input corresponding to some row, this row cyclically shifts to the left, that is the first element of the row becomes last element, second element becomes first and so on. When signal comes to the input corresponding to some column, that column shifts cyclically to the top, that is first element of the column becomes last element, second element becomes first and so on. Rows are numbered with integers from 1 to n from top to bottom, while columns are numbered with integers from 1 to mfrom left to right.

Artem wants to carefully study this element before using it. For that purpose he is going to set up an experiment consisting of q turns. On each turn he either sends the signal to some input or checks what number is stored at some position of the matrix.

Artem has completed his experiment and has written down the results, but he has lost the chip! Help Artem find any initial matrix that will match the experiment results. It is guaranteed that experiment data is consistent, which means at least one valid matrix exists.

Input

The first line of the input contains three integers n, m and q (1 ≤ n, m ≤ 100, 1 ≤ q ≤ 10 000) — dimensions of the matrix and the number of turns in the experiment, respectively.

Next q lines contain turns descriptions, one per line. Each description starts with an integer ti (1 ≤ ti ≤ 3) that defines the type of the operation. For the operation of first and second type integer ri (1 ≤ ri ≤ n) or ci (1 ≤ ci ≤ m) follows, while for the operations of the third type three integers ri, ci and xi (1 ≤ ri ≤ n, 1 ≤ ci ≤ m,  - 109 ≤ xi ≤ 109) are given.

Operation of the first type (ti = 1) means that signal comes to the input corresponding to row ri, that is it will shift cyclically. Operation of the second type (ti = 2) means that column ci will shift cyclically. Finally, operation of the third type means that at this moment of time cell located in the row ri and column ci stores value xi.

Output

Print the description of any valid initial matrix as n lines containing m integers each. All output integers should not exceed 109 by their absolute value.

If there are multiple valid solutions, output any of them.

Examples

input

2 2 62 12 23 1 1 13 2 2 23 1 2 83 2 1 8

output

8 2 1 8 

input

3 3 21 23 2 2 5

output

0 0 0 0 0 5 0 0 0 

吐槽一下，题目真长，好难理解。。。。。

题意：对一个n*m矩阵进行操作

操作1：将r行的最后一个元素放到第一个，第二个放到第三个，依次向后推。。

操作2：将c列的最后一个元素放到第一个，第二个放到第三个，依次向后。。

操作3： 将r行c列的元素赋值为X;

思路：按照操作进行一遍，不过要进行赋值操作，再进行转换。。

#include<stdio.h>#include<string.h>#include<algorithm>using namespace std;struct note{int temp;int r,c,val;}t[110000];int map[1100][1100];int main(){int n,m,p,a,i,j;while(scanf("%d%d%d",&n,&m,&p)!=EOF){memset(map,0,sizeof(map));for(i=1;i<=p;i++){scanf("%d",&a);t[i].temp=a;if(a==1)    {    scanf("%d",&t[i].r);}if(a==2){scanf("%d",&t[i].c);}if(a==3){scanf("%d%d%d",&t[i].r,&t[i].c,&t[i].val);}}for(i=p;i>=1;i--){if(t[i].temp==3)map[t[i].r][t[i].c]=t[i].val;if(t[i].temp==2){int ans=map[n][t[i].c];for(j=n-1;j>=1;j--)map[j+1][t[i].c]=map[j][t[i].c];map[1][t[i].c]=ans;}if(t[i].temp==1){int ans=map[t[i].r][m];for(j=m-1;j>=1;j--)map[t[i].r][j+1]=map[t[i].r][j];map[t[i].r][1]=ans;}}for(i=1;i<=n;i++){for(j=1;j<m;j++){printf("%d ",map[i][j]);}printf("%d\n",map[i][j]);}}return 0;}