Coin Combinations I CSES dynamic programming problem set solution - Problem statement- Consider a money system consisting of n n coins. Each coin has a positive integer value. Your task is to calculate the number of distinct ways you can produce a money sum x x using the available coins. For example, if the coins are { 2 , 3 , 5 } { 2 , 3 , 5 } and the desired sum is 9 9 , there are 8 8 ways: 2 + 2 + 5 2 + 2 + 5 2 + 5 + 2 2 + 5 + 2 5 + 2 + 2 5 + 2 + 2 3 + 3 + 3 3 + 3 + 3 2 + 2 + 2 + 3 2 + 2 + 2 + 3 2 + 2 + 3 + 2 2 + 2 + 3 + 2 2 + 3 + 2 + 2 2 + 3 + 2 + 2 3 + 2 + 2 + 2 3 + 2 + 2 + 2 Input The first input line has two integers n n and x x : the number of coins and the desired sum of money. The second line has n n distinct integers c 1 , c 2 , … , c n c 1 , c 2 , … , c n : the value of each coin. Output Print one integer: the number of ways modulo 10 9 + 7 10 9 + 7 . Constraints 1 ≤ n ≤ 100 1 ≤ n ≤ 100 1 ≤ x ≤ 10 6 1 ≤ x ≤ 10 6 1 ≤ c i ≤ 10 6 1 ≤ c i ≤ 10 6 Example Input:
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