December 14 CCF Real topic 2-z-zigzag scan

Source: Internet
Author: User

Problem description

In the algorithm of image encoding, a given square matrix is required to perform a Z-glyph scan (Zigzag scan). Given a nxn matrix, the process of zigzag scanning is as follows:

For the following 4x4 matrix,

1539

3756

9464

7313

A sequence of length 16 is obtained after a zigzag scan: 1539739547366413 implement a Z-scan of the program, given a nxn matrix, the output of this matrix

The result of a zigzag scan. Input format

The first line of the input contains an integer n, which represents the size of the matrix. The second line of input to line n+1 each row contains n positive integers, separated by spaces, representing the given matrix.

Output format

The output row, containing nxn integers, separated by spaces, indicates the result of the input matrix after a Z-glyph scan.

Input sample
4
1539
3756
9464
7313
Output sample
1539739547366413

Evaluation Case size and convention 1≤n≤500, The matrix element is a positive integer not exceeding 1000.

Defines four action 1234, which represents 4 ways of moving.

1#include <iostream>2 3 using namespacestd;4 5 intMain () {6     intN;7Cin>>N;8     intS[n][n];9      for(inti =0; i<n;i++)Ten          for(intj =0; j<n;j++) OneCin>>S[i][j]; A     intX0), Y (0); -     intMove=1; -      while(x!=n-1|| y!=n-1) the     { -cout<<s[x][y]<<" "; -         Switch(move) -         { +              Case 1: -y++; +                 if(x==0) AMove=2; at                 Else -Move=4; -                  Break; -              Case 2: -X + +; -y--; in                 if(y==0&& x!=n-1) -Move=3; to                 Else if(x==n-1) +Move=1; -                  Break; the              Case 3: *X + +; $                 if(y==0)Panax NotoginsengMove=4; -                 Else theMove=2; +                  Break; A              Case 4: thex--; +y++; -                 if(x==0&& y!=n-1) $Move=1; $                 Else if(y==n-1) -Move=3; -                  Break; the         } -     }Wuyicout<<s[n-1][n-1]; the     return 0; -}

December 14 CCF Real topic 2-z-zigzag scan

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