N = gets.to_i def output(m) n = m.size (0...n).each{|r| (0...n).each{|c| if(c!=0) print " " end print m[r][c] } puts } end def genodd(n) m = Array.new(N).map{Array.new(N);} r=0; c=n/2 count = 1 while true if m[r][c] r+=2;r%=n c-=1;c+=n;c%=n if m[r][c] break end end m[r][c]=count count+=1 r -=1; r+=n; r%=n; c +=1; c%=n; end return m end def gen4(n) m = Array.new(N).map{Array.new(N);} cross = [[1,0,0,1],[0,1,1,0],[0,1,1,0],[1,0,0,1]] count = 0 (0...n).each{|r| (0...n).each{|c| r2 = r%4 c2 = c%4 if cross[r2][c2]==1 m[r][c] = count + 1 else m[r][c] = n*n - count end count +=1 } } return m end L=[[4,1],[2,3]] U=[[1,4],[2,3]] X=[[1,4],[3,2]] def gen4_2(n) n0 = n/2 m0 = genodd(n0) m1 = Array.new(n0).map{Array.new(n0,'L');} (0...n0).each{|c0| m1[n0/2+1][c0] = 'U'; (n0/2+2...n0).each{|r| m1[r][c0] = 'X'; } } if(n0>=3) m1[n0/2+1][n0/2] = 'L' m1[n0/2][n0/2] = 'U' end #output(m1) m = Array.new(N).map{Array.new(N);} (0...n).each{|r| (0...n).each{|c| r2 = r%2 c2 = c%2 r0 = r/2 c0 = c/2 m[r][c] = 4*(m0[r0][c0]-1) if m1[r0][c0]=='L' m[r][c] += L[r2][c2] elsif m1[r0][c0]=='U' m[r][c] += U[r2][c2] elsif m1[r0][c0]=='X' m[r][c] += X[r2][c2] end } } return m end if N%2 == 1 m = genodd(N) output(m) elsif N%4==0 m = gen4(N) output(m) else m = gen4_2(N) output(m) end