LeetCode 518. Coin Change 2

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class Solution {
public:
    int change(int amount, vector<int>& coins) {
        const int n = coins.size();
        vector<vector<int>> f(n + 1, vector<int>(amount + 1));
        f[0][0] = 1;
        for (int i = 1; i <= n; ++i) {
            int val = coins[i - 1];
            for (int j = 0; j <= amount; ++j) {
                f[i][j] = f[i - 1][j];
                for (int k = 1; k * val <= j; ++k) {
                    f[i][j] += f[i - 1][j - k * val];
                }
            }
        }
        return f[n][amount];
    }
};
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class Solution {
public:
    int change(int amount, vector<int>& coins) {
        const int n = coins.size();
        vector<int> f(amount + 1);
        f[0] = 1;
        for (int i = 1; i <= n; ++i) {
            int val = coins[i - 1];
            for (int j = val; j <= amount; ++j) {
                f[j] += f[j - val];
            }
        }
        return f[amount];
    }
};