534C - Polycarpus' Dice - CodeForces Solution

def computeBounds(faces, total):
    maxTotal = sum(faces)
    result = []
    for face in faces:
        upperBound = min(face, total - (len(faces) - 1))
        lowerBound = max(1, total - maxTotal + face)
        result.append(face - (upperBound - lowerBound + 1))
    return result
 
size, total = map(int, input().split(' '))
faces = [int(i) for i in input().split(' ')]
bounds = computeBounds(faces, total)
print(' '.join([str(bound) for bound in bounds]))