求2個俄國人，3個美國人，2個台灣人排一列，美俄不相鄰的排法數？

頗符合現在時勢的，美俄開戰的可能性很大.....

Python Code：

import itertools

w=['r1','r2','a1','a2','a3','t1','t2']

n=list(set(itertools.permutations(w))) #排列並去除相同元素

other=[]

for i in range(len(n)):

    for j in range(len(n[0])-1):

        if ((n[i][j]=='r1' and n[i][j+1]=='a1') or (n[i][j]=='a1' and n[i][j+1]=='r1')) or \

            ((n[i][j]=='r1' and n[i][j+1]=='a2') or (n[i][j]=='a2' and n[i][j+1]=='r1')) or\

                ((n[i][j]=='r1' and n[i][j+1]=='a3') or (n[i][j]=='a3' and n[i][j+1]=='r1')) or\

                    ((n[i][j]=='r2' and n[i][j+1]=='a1') or (n[i][j]=='a1' and n[i][j+1]=='r2')) or \

                        ((n[i][j]=='r2' and n[i][j+1]=='a2') or (n[i][j]=='a2' and n[i][j+1]=='r2')) or \

                            ((n[i][j]=='r2' and n[i][j+1]=='a3') or (n[i][j]=='a3' and n[i][j+1]=='r2')):

                                other.append(n[i])

           

ans=set(n)-set(other)

print(ans)

print(len(ans))

答案：360種