0241_Different_Ways_to_Add_Parentheses.cpp

// ███████╗  █████╗  ███╗   ██╗ ██████╗   █████╗  ██████╗  ██████╗  ██╗  ██╗
// ██╔════╝ ██╔══██╗ ████╗  ██║ ██╔══██╗ ██╔══██╗ ██╔══██╗ ██╔══██╗ ██║  ██║
// ███████╗ ███████║ ██╔██╗ ██║ ██║  ██║ ███████║ ██████╔╝ ██████╔╝ ███████║
// ╚════██║ ██╔══██║ ██║╚██╗██║ ██║  ██║ ██╔══██║ ██╔═██╗  ██╔══██╗ ██╔══██║
// ███████║ ██║  ██║ ██║ ╚████║ ██████╔╝ ██║  ██║ ██║  ██╗ ██████╔╝ ██║  ██║
// ╚══════╝ ╚═╝  ╚═╝ ╚═╝  ╚═══╝ ╚═════╝  ╚═╝  ╚═╝ ╚═╝  ╚═╝ ╚═════╝  ╚═╝  ╚═╝
#pragma GCC optimize("Ofast", "inline", "ffast-math", "unroll-loops","no-stack-protector")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,tune=native", "f16c")
auto init = []() {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    cout.tie(nullptr);
    return 'c';
}();
class Solution {
public:
    vector<int> diffWaysToCompute(string expression) {
        return dfs(expression);
    }

    vector<int> dfs(string exp) {
        if (memo.count(exp)) return memo[exp];
        if (exp.size() < 3) return {stoi(exp)};
        vector<int> ans;
        int n = exp.size();
        for (int i = 0; i < n; ++i) {
            char c = exp[i];
            if (c == '-' || c == '+' || c == '*') {
                vector<int> left = dfs(exp.substr(0, i));
                vector<int> right = dfs(exp.substr(i + 1, n - i - 1));
                for (int& a : left) {
                    for (int& b : right) {
                        if (c == '-')
                            ans.push_back(a - b);
                        else if (c == '+')
                            ans.push_back(a + b);
                        else
                            ans.push_back(a * b);
                    }
                }
            }
        }
        memo[exp] = ans;
        return ans;
    }

private:
    unordered_map<string, vector<int>> memo;
};