output_description: Print the count modulo (10^9+7).
  
  * * *
input_description: Input is given from Standard Input in the following format:
  
      
      
      N M
attempt: M=10**9+7
  n,m=map(int,input().split())
  F=[1]
  for i in range(1,m+1): F+=[i*F[-1]%M]
  a=0
  for k in range(n+1):
    a+=(-1)**k*F[m-k]*pow(F[k]*F[n-k],-1,M)%M
  print(a*F[n]*F[m]*pow(F[m-n]**2,-1,M)%M)
problem_description: Statement
  
  Count the pairs of length-N sequences consisting of integers between 1 and M
  (inclusive), A_1, A_2, \cdots, A_{N} and B_1, B_2, \cdots, B_{N}, that satisfy
  all of the following conditions:
  
    * A_i \neq B_i, for every i such that 1\leq i\leq N.
    * A_i \neq A_j and B_i \neq B_j, for every (i, j) such that 1\leq i < j\leq N.
  
  Since the count can be enormous, print it modulo (10^9+7).
samples: [{"input": "2 2", "output": "2\n    \n\nA_1=1,A_2=2,B_1=2,B_2=1 and A_1=2,A_2=1,B_1=1,B_2=2 satisfy the conditions.\n\n* * *"}, {"input": "2 3", "output": "18\n    \n\n* * *"}, {"input": "141421 356237", "output": "881613484"}]