diff --git a/CSES Problem Set/Money Sums.cpp b/CSES Problem Set/Money Sums.cpp new file mode 100644 index 0000000..93c4849 --- /dev/null +++ b/CSES Problem Set/Money Sums.cpp @@ -0,0 +1,106 @@ +/* Problem URL: https://cses.fi/problemset/task/1745 */ + +#include + +using namespace std; + +#define V vector + +#define rmin(a, b) a = min(a, b) +#define rmax(a, b) a = max(a, b) + +#define rep(i, lim) for (size_t i = 0; i < (lim); i++) +#define nrep(i, s, lim) for (size_t i = s; i < (lim); i++) + +#define repv(i, v) for (auto &i : (v)) +#define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; } +#define sortv(v) sort(v.begin(), v.end()) +#define all(v) (v).begin(), (v).end() + +using vi = vector; +using vvi = vector; +using vvvi = vector; +using vvvvi = vector; + +using ll = long long; + +using vl = vector; +using vvl = vector; +using vvvl = vector; +using vvvvl = vector; + +template +auto operator<<(ostream &os, const vector &vec)->ostream& { + os << vec[0]; + for (size_t i = 1; i < vec.size(); i++) { + os << ' ' << vec[i]; + } + os << '\n'; + return os; +} + +template +auto operator>>(istream &is, vector &vec)->istream& { + for (auto &i : vec) { + is >> i; + } + return is; +} + +template +auto operator<<(ostream &os, const vector> &vec)->ostream& { + for (auto &i : vec) { + os << i[0]; + for (size_t j = 1; j < i.size(); j++) { + os << ' ' << i[j]; + } + os << '\n'; + } + return os; +} + +template +auto operator>>(istream &is, vector> &vec)->istream& { + for (auto &i : vec) { + for (auto &j : i) { + is >> j; + } + } + return is; +} + +int main() +{ + ios::sync_with_stdio(false); + cin.tie(nullptr); + + int n; + cin >> n; + vi fds(n); + cin >> fds; + + V> dp(n + 1, V((ll)1e5, false)); + dp[0][0] = true; + + for (size_t i = 1; i <= n; i++) { + for (size_t j = 0; j <= (ll)1e5; j++) { + dp[i][j] = dp[i - 1][j]; + if (j >= fds[i - 1] && dp[i - 1][j - fds[i - 1]]) { + dp[i][j] = true; + } + } + } + + queue q; + for (size_t j = 1; j <= (ll)1e5; j++) { + if (dp[n][j]) { + q.push(j); + } + } + cout << q.size() << '\n'; + while (!q.empty()) { + cout << q.front() << ' '; + q.pop(); + } + cout << '\n'; +}