""" Counting Summations Problem 76 It is possible to write five as a sum in exactly six different ways: 4 + 1 3 + 2 3 + 1 + 1 2 + 2 + 1 2 + 1 + 1 + 1 1 + 1 + 1 + 1 + 1 How many different ways can one hundred be written as a sum of at least two positive integers? """ def partition(m): """Returns the number of different ways one hundred can be written as a sum of at least two positive integers. >>> partition(100) 190569291 >>> partition(50) 204225 >>> partition(30) 5603 >>> partition(10) 41 >>> partition(5) 6 >>> partition(3) 2 >>> partition(2) 1 >>> partition(1) 0 """ memo = [[0 for _ in range(m)] for _ in range(m + 1)] for i in range(m + 1): memo[i][0] = 1 for n in range(m + 1): for k in range(1, m): memo[n][k] += memo[n][k - 1] if n > k: memo[n][k] += memo[n - k - 1][k] return memo[m][m - 1] - 1 if __name__ == "__main__": print(partition(int(str(input()).strip())))