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To make it a function

edited Mar 17, 2016 at 0:57

Matlab, 119134 bytes

I just tried my best to shorten my code in Matlab, like telegraphing it.

function V=z(M) [m,n]=size(M);   a=(1:m)'*ones(1,n); b=ones(m,1)*(1:n);   A=a+b-1; B=a-b;   C=(A.^2+(-1).^A.*B+1); [~,I]=sort(C(:));   V=M(:); V=V(I)';

Notes:

M is an m×n matrix.
a and b are both matrices same size of M, each row of a consists of numbers equal to its row number, while each column of b is equal to its column number. Thus, a+b is a matrix whose element equals to sum of its row and column number, i.e., matrix(p,q)=p+q.
Thus, A(p,q)=p+q-1; and B(p,q)=p-q.
C is mathematically stated as equation below. with the equation, a zigzagifiedly increasing matrix can be made like shown below.

C = 1 2 6 7 3 5 8 14 4 9 13 18 10 12 19 25

C indicates the order of elements of M in zigzagified results. Then, [~,I]=sort(C(:));returns the order, i.e., I, thus, V=V(I)' is the result.

Matlab, 119 bytes

I just tried my best to shorten my code in Matlab, like telegraphing it.

[m,n]=size(M);   a=(1:m)'*ones(1,n); b=ones(m,1)*(1:n);   A=a+b-1; B=a-b;   C=(A.^2+(-1).^A.*B+1); [~,I]=sort(C(:));   V=M(:); V=V(I)';

Notes:

M is an m×n matrix.
a and b are both matrices same size of M, each row of a consists of numbers equal to its row number, while each column of b is equal to its column number. Thus, a+b is a matrix whose element equals to sum of its row and column number, i.e., matrix(p,q)=p+q.
Thus, A(p,q)=p+q-1; and B(p,q)=p-q.
C is mathematically stated as equation below. with the equation, a zigzagifiedly increasing matrix can be made like shown below.

C = 1 2 6 7 3 5 8 14 4 9 13 18 10 12 19 25

C indicates the order of elements of M in zigzagified results. Then, [~,I]=sort(C(:));returns the order, i.e., I, thus, V=V(I)' is the result.

Matlab, 134 bytes

I just tried my best to shorten my code in Matlab, like telegraphing it.

function V=z(M) [m,n]=size(M); a=(1:m)'*ones(1,n); b=ones(m,1)*(1:n); A=a+b-1; B=a-b; C=(A.^2+(-1).^A.*B+1); [~,I]=sort(C(:)); V=M(:); V=V(I)';

Notes:

M is an m×n matrix.
a and b are both matrices same size of M, each row of a consists of numbers equal to its row number, while each column of b is equal to its column number. Thus, a+b is a matrix whose element equals to sum of its row and column number, i.e., matrix(p,q)=p+q.
Thus, A(p,q)=p+q-1; and B(p,q)=p-q.
C is mathematically stated as equation below. with the equation, a zigzagifiedly increasing matrix can be made like shown below.

C = 1 2 6 7 3 5 8 14 4 9 13 18 10 12 19 25

C indicates the order of elements of M in zigzagified results. Then, [~,I]=sort(C(:));returns the order, i.e., I, thus, V=V(I)' is the result.

edited body

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edited Mar 16, 2016 at 14:02

Guoyang Qin

Matlab, 119 bytes

I just tried my best to shorten my code in Matlab, like telegraphing it.

[m,n]=size(M); a=(1:m)'*ones(1,n); b=ones(m,1)*(1:n); A=b+aA=a+b-1; B=bB=a-a;b; C=(A.^2+(-1).^A.*B+1); [~,I]=sort(C(:)); V=M(:); V=V(I)';

Notes:

M is an m×n matrix.
a and b are both matrices same size of M, each row of a consists of numbers equal to its row number, while each column of b is equal to its column number. Thus, a+b is a matrix whose element equals to sum of its row and column number, i.e., matrix(p,q)=p+q.
Thus, A(p,q)=p+q-1; and B(p,q)=p-q.
C is mathematically stated as equation below. with the equation, a zigzagifiedly increasing matrix can be made like shown below.

C = 1 2 6 7 3 5 8 14 4 9 13 18 10 12 19 25

C indicates the order of elements of M in zigzagified results. Then, [~,I]=sort(C(:));returns the order, i.e., I, thus, V=V(I)' is the result.

Matlab, 119 bytes

I just tried my best to shorten my code in Matlab, like telegraphing it.

[m,n]=size(M); a=(1:m)'*ones(1,n); b=ones(m,1)*(1:n); A=b+a-1; B=b-a; C=(A.^2+(-1).^A.*B+1); [~,I]=sort(C(:)); V=M(:); V=V(I)';

Notes:

M is an m×n matrix.
a and b are both matrices same size of M, each row of a consists of numbers equal to its row number, while each column of b is equal to its column number. Thus, a+b is a matrix whose element equals to sum of its row and column number, i.e., matrix(p,q)=p+q.
Thus, A(p,q)=p+q-1; and B(p,q)=p-q.
C is mathematically stated as equation below. with the equation, a zigzagifiedly increasing matrix can be made like shown below.

C = 1 2 6 7 3 5 8 14 4 9 13 18 10 12 19 25

C indicates the order of elements of M in zigzagified results. Then, [~,I]=sort(C(:));returns the order, i.e., I, thus, V=V(I)' is the result.

Matlab, 119 bytes

I just tried my best to shorten my code in Matlab, like telegraphing it.

[m,n]=size(M); a=(1:m)'*ones(1,n); b=ones(m,1)*(1:n); A=a+b-1; B=a-b; C=(A.^2+(-1).^A.*B+1); [~,I]=sort(C(:)); V=M(:); V=V(I)';

Notes:

M is an m×n matrix.
a and b are both matrices same size of M, each row of a consists of numbers equal to its row number, while each column of b is equal to its column number. Thus, a+b is a matrix whose element equals to sum of its row and column number, i.e., matrix(p,q)=p+q.
Thus, A(p,q)=p+q-1; and B(p,q)=p-q.
C is mathematically stated as equation below. with the equation, a zigzagifiedly increasing matrix can be made like shown below.

C = 1 2 6 7 3 5 8 14 4 9 13 18 10 12 19 25

C indicates the order of elements of M in zigzagified results. Then, [~,I]=sort(C(:));returns the order, i.e., I, thus, V=V(I)' is the result.

The early version only works for square matrix, get errors revised

Source Link

edited Mar 16, 2016 at 13:57

Guoyang Qin

Matlab, 119 bytes

I just tried my best to shorten my code in Matlab, like telegraphing it.

[m,n]=size(M); a=(1:m)'*ones(1,n); b=ones(m,1)*(1:n); A=b+a-1; B=b-a; C=(A.^2+(-1).^A.*B+1); [~,I]=sort(C(:)); V=M(:); V=V(I)';

Notes:

M is an m×n matrix.
a is a matrixand b are both matrices same size of M, each row of a consists of numbers equal to its row number, while each column of b each columnis equal to its column number. Thus, a+b is a matrix whose element equals to sum of its row and column number, i.e., matrix(p,q)=p+q.
Thus, A(p,q)=p+q-1; and B(p,q)=p-q.
C is mathematically stated as equation below. with the equation, a zigzagifiedly increasing matrix can be made like shown below.

C = 1 2 6 7 3 5 8 14 4 9 13 18 10 12 19 25

C indicates the order of elements of M in zigzagified results. Then, [~,I]=sort(C(:));returns the order, i.e., I, thus, V=V(I)' is the result.

Matlab, 119 bytes

I just tried my best to shorten my code in Matlab, like telegraphing it.

[m,n]=size(M); a=(1:m)'*ones(1,n); b=ones(m,1)*(1:n); A=b+a-1; B=b-a; C=(A.^2+(-1).^A.*B+1); [~,I]=sort(C(:)); V=M(:); V=V(I)';

Notes:

M is an m×n matrix.
a is a matrix same size of M, each row consists of numbers equal to row number, b each column equal to column number. Thus, a+b is a matrix whose element equals to sum of row and column number, i.e., matrix(p,q)=p+q.
Thus, A(p,q)=p+q-1; and B(p,q)=p-q.
C is mathematically stated as equation below. with the equation, a zigzagifiedly increasing matrix can be made like shown below.

C = 1 2 6 7 3 5 8 14 4 9 13 18 10 12 19 25

C indicates the order of elements of M in zigzagified results. Then, [~,I]=sort(C(:));returns the order, i.e., I, thus, V=V(I)' is the result.

Matlab, 119 bytes

I just tried my best to shorten my code in Matlab, like telegraphing it.

[m,n]=size(M); a=(1:m)'*ones(1,n); b=ones(m,1)*(1:n); A=b+a-1; B=b-a; C=(A.^2+(-1).^A.*B+1); [~,I]=sort(C(:)); V=M(:); V=V(I)';

Notes:

M is an m×n matrix.
a and b are both matrices same size of M, each row of a consists of numbers equal to its row number, while each column of b is equal to its column number. Thus, a+b is a matrix whose element equals to sum of its row and column number, i.e., matrix(p,q)=p+q.
Thus, A(p,q)=p+q-1; and B(p,q)=p-q.
C is mathematically stated as equation below. with the equation, a zigzagifiedly increasing matrix can be made like shown below.

C = 1 2 6 7 3 5 8 14 4 9 13 18 10 12 19 25

C indicates the order of elements of M in zigzagified results. Then, [~,I]=sort(C(:));returns the order, i.e., I, thus, V=V(I)' is the result.

The early version only works for square matrix, get errors revised

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edited Mar 16, 2016 at 13:51

Guoyang Qin

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answered Mar 16, 2016 at 13:27

Guoyang Qin