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(a+b)^2 = (a+b)*(a+b) = a*a+a*b+a*b+b*b = a^2+2*a*b+b^2After sometimes he thought, if I could solve it for (a+b)^3. So he starts with the same way as he did it for (a+b)^2. After performing the calculation he has found that the coefficient for (a+b)^3 are 1, 3, 3, 1. Here the order is taken as the decreasing order of the power of a . Now he thinks if I could solve it for higher terms of the power of (a+b). But he felt bored after sometimes as so much multiplication has to perform. But he is very much interested to know what will be the sequence of co-efficient if it arranged for decreasing order of the power of a. He heard that a programming contest is arranged for 05 batch of CUET. He knows all of the students of 05 are good at programming. So he asked you, if you can help him by telling him the sequence of coefficients in decresing order of the power of a.
3 7 -1
1 3 3 1 1 7 21 35 35 21 7 1
Problem Setter : John