POJ 3106Flip and Turn（模擬）

果7發表於2014-01-09
Flip and Turn
Time Limit: 2000MS   Memory Limit: 65536K
Total Submissions: 957   Accepted: 330

Description

Let us define a set of operations on a rectangular matrix of printable characters.

A matrix A with m rows (1-st index) and n columns (2-nd index) is given. The resulting matrix B is defined as follows.

  • Transposition by the main diagonal (operation identifier is ‘1’): Bj,i = Ai,j
  • Transposition by the second diagonal (‘2’): Bn−j+1,m−i+1 = Ai,j
  • Horizontal flip (‘H’): Bm−i+1,j = Ai,j
  • Vertical flip (‘V’): Bi,n−j+1 = Ai,j
  • Rotation by 90 (‘A’), 180 (‘B’), or 270 (‘C’) degrees clockwise; 90 degrees case: Bj,m−i+1 = Ai,j
  • Rotation by 90 (‘X’), 180 (‘Y’), or 270 (‘Z’) degrees counterclockwise; 90 degrees case: Bn−j+1,i = Ai,j

You are given a sequence of no more than 100 000 operations from the set. Apply the operations to the given matrix and output the resulting matrix.

Input

At the first line of the input file there are two integer numbers — m and n (0 < m, n ≤ 300). Then there are m lines with n printable characters per line (we define a printable character as a symbol with ASCII code from 33 to 126 inclusive). There will be no additional symbols at these lines.

The next line contains the sequence operations to be performed, specified by their one-character identifiers. The operations should be performed from left to right.

Output

Two integer numbers, the number of rows and columns in the output matrix. Then the output matrix must follow, in the same format as the input one.

Sample Input

3 4
0000
a0b0
cdef
A1

Sample Output

3 4
cdef
a0b0
0000


題目大意：給你一個m*n的矩陣，通過順時針旋轉，逆時針旋轉，水平翻轉，垂直翻轉，對角線旋轉，反對角線旋轉變換得到新矩陣。但是不能直接對原矩陣操作，時間複雜度為O(10^5*10^5)，會超時，但是如何儲存變化的過程呢，我們不需要知道變化過程，只需要知道結果即可。由於旋轉翻轉都是中心對稱的，可以採用一個2*2的小正方形記錄變化情況，然後小矩陣變化得出最終結果之後再相應變化大矩陣。時間複雜度為O(10^5*5)

     題目地址：Flip and Turn

AC程式碼：
#include<iostream>
#include<cstdio>
#include<cstring>
#include<string>
#include<cmath>
#include<algorithm>
using namespace std;
char a[305][305];
char b[305][305];
char str[100005];
int m,n;
int tb[3][3];

void con1()
{
    int i,j;
    for(i=1; i<=n; i++)
    {
        for(j=1; j<=m; j++)
        {
            b[i][j]=a[j][i];
        }
    }

    for(i=1; i<=n; i++)
    {
        for(j=1; j<=m; j++)
            a[i][j]=b[i][j];
        a[i][j]='\0';
    }
    swap(n,m);
}

void con2()
{
    int i,j;
    for(i=1; i<=m; i++)
    {
        for(j=1; j<=n; j++)
        {
            b[n-j+1][m-i+1]=a[i][j];
        }
    }

    for(i=1; i<=n; i++)
    {
        for(j=1; j<=m; j++)
            a[i][j]=b[i][j];
        a[i][j]='\0';
    }
    swap(n,m);
}

void con3()
{
    int i,j;
    for(i=1; i<=m; i++)
    {
        for(j=1; j<=n; j++)
        {
            b[m-i+1][j]=a[i][j];
        }
    }

    for(i=1; i<=m; i++)
    {
        for(j=1; j<=n; j++)
            a[i][j]=b[i][j];
        a[i][j]='\0';
    }
}

void con4()
{
    int i,j;
    for(i=1; i<=m; i++)
    {
        for(j=1; j<=n; j++)
        {
            b[i][n-j+1]=a[i][j];
        }
    }

    for(i=1; i<=m; i++)
    {
        for(j=1; j<=n; j++)
            a[i][j]=b[i][j];
        a[i][j]='\0';
    }
}

void con5()
{
    int i,j;
    for(i=1; i<=m; i++)
    {
        for(j=1; j<=n; j++)
        {
            b[j][m-i+1]=a[i][j];
        }
    }

    for(i=1; i<=n; i++)
    {
        for(j=1; j<=m; j++)
            a[i][j]=b[i][j];
        a[i][j]='\0';
    }
    swap(m,n);
}

void con6()
{
    int i,j;
    for(i=1; i<=m; i++)
    {
        for(j=1; j<=n; j++)
        {
            b[n-j+1][i]=a[i][j];
        }
    }

    for(i=1; i<=n; i++)
    {
        for(j=1; j<=m; j++)
            a[i][j]=b[i][j];
        a[i][j]='\0';
    }
    swap(m,n);
}

void debug()
{
    int i,j;
    for(i=1;i<=2;i++)
    {
        for(j=1;j<=2;j++)
            cout<<tb[i][j]<<" ";
        cout<<endl;
    }
}

int main()
{
    int i,j;
    while(~scanf("%d%d",&m,&n))
    {
        for(i=1; i<=m; i++)
            scanf("%s",a[i]+1);

        scanf("%s",str);
        tb[1][1]=1,tb[1][2]=2,tb[2][1]=3,tb[2][2]=4;

        for(i=0; i<strlen(str); i++)
        {
            if(str[i]=='1')
            {
                swap(tb[1][2],tb[2][1]);
            }
            else if(str[i]=='2')
            {
                swap(tb[1][1],tb[2][2]);
            }
            else if(str[i]=='H')
            {
                swap(tb[1][1],tb[2][1]);
                swap(tb[1][2],tb[2][2]);
            }
            else if(str[i]=='V')
            {
                swap(tb[1][1],tb[1][2]);
                swap(tb[2][1],tb[2][2]);
            }
            else if(str[i]>='A'&&str[i]<='C')
            {
                int s=str[i]-'A'+1;
                for(j=0;j<s;j++)
                {
                    swap(tb[2][2],tb[1][2]);
                    swap(tb[1][1],tb[1][2]);
                    swap(tb[1][1],tb[2][1]);
                }
            }
            else if(str[i]>='X'&&str[i]<='Z')
            {
                int s=str[i]-'X'+1;
                for(j=0;j<s;j++)
                {
                    swap(tb[1][1],tb[2][1]);
                    swap(tb[1][1],tb[1][2]);
                    swap(tb[2][2],tb[1][2]);
                }
            }
        }

        //debug();
        //是中心對稱，順時針轉，對稱轉，沿對角線折都是中心對稱，所以1 4只能是對角
        if(tb[1][1]==1&&tb[1][2]==2&&tb[2][1]==3&&tb[2][2]==4) {}  // 1 2 3 4
        else if(tb[1][1]==1&&tb[1][2]==3&&tb[2][1]==2&&tb[2][2]==4) con1();  //1 3 2 4
        else if(tb[1][1]==2&&tb[1][2]==1&&tb[2][1]==4&&tb[2][2]==3) con4();  //2 1 4 3
        else if(tb[1][1]==3&&tb[1][2]==1&&tb[2][1]==4&&tb[2][2]==2) con5();  //3 1 4 2
        else if(tb[1][1]==4&&tb[1][2]==2&&tb[2][1]==3&&tb[2][2]==1) con2();  //4 2 3 1
        else if(tb[1][1]==4&&tb[1][2]==3&&tb[2][1]==2&&tb[2][2]==1) {con2(); con1();} //4 3 2 1
        else if(tb[1][1]==2&&tb[1][2]==4&&tb[2][1]==1&&tb[2][2]==3) con6();  //2 4 1 3
        else if(tb[1][1]==3&&tb[1][2]==4&&tb[2][1]==1&&tb[2][2]==2) {con6(); con2();} //3 4 1 2
        cout<<m<<" "<<n<<endl;
        for(i=1; i<=m; i++)
            cout<<a[i]+1<<endl;
    }
    return 0;
}

/*
3 4
0000
a0b0
cdef
A1
*/



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