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Copy patha60_q1_matmod.py
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a60_q1_matmod.py
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def addMod( lhs,rhs,k ):
return ( lhs%k + rhs%k )%k
def mulMod( lhs,rhs,k ):
return ( lhs%k * rhs%k )%k
def matMul(lhs,rhs,k):
l = [0]*4
l[0] = addMod(mulMod( lhs[0],rhs[0],k ) , mulMod( lhs[1],rhs[2],k ) ,k)
l[1] = addMod(mulMod( lhs[0],rhs[1],k ) , mulMod( lhs[1],rhs[3],k ) ,k)
l[2] = addMod(mulMod( lhs[2],rhs[0],k ) , mulMod( lhs[3],rhs[2],k ) ,k)
l[3] = addMod(mulMod( lhs[2],rhs[1],k ) , mulMod( lhs[3],rhs[3],k ) ,k)
return l
def matMod( matrix,n,k ):
if(n==1):
return matrix
mid = n//2
frac = n%2
halfMat = matMod(matrix,mid,k)
newMat = matMul( halfMat,list(halfMat),k );
if(frac==1):
newMat = matMul( newMat,matrix,k )
return newMat
n,k = [int(i) for i in input().split()]
matrix = [int(i) for i in input().split()]
newMat = matMod(matrix,n,k)
for i in range(4):
print( str(newMat[i]),end = " " )