#pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector #define vs vector #define vc vector #define vl vector #define vb vector #define vvi vector> #define vvc vector> #define vvl vector> #define vvb vector> #define vvvi vector>> #define vvvl vector>> #define pii pair #define pil pair #define pli pair #define pll pair #define vpii vector> #define vpll vector> #define vvpii vector>> #define vvpll vector>> using mint = modint998244353; template void debug(T e) { cerr << e << endl; } template void debug(vector &v) { rep(i, v.size()) { cerr << v[i] << " "; } cerr << endl; } template void debug(vector> &v) { rep(i, v.size()) { rep(j, v[i].size()) { cerr << v[i][j] << " "; } cerr << endl; } } template void debug(vector> &v) { rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; } } template void debug(set &st) { for (auto itr = st.begin(); itr != st.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(multiset &ms) { for (auto itr = ms.begin(); itr != ms.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(map &mp) { for (auto itr = mp.begin(); itr != mp.end(); itr++) { cerr << itr->first << " " << itr->second << endl; } } void debug_out() { cerr << endl; } template void debug_out(Head H, Tail... T) { cerr << H << " "; debug_out(T...); } int main() { ll N, W; cin >> N >> W; vector v(N); vector w(N); for (ll i = 0; i < N; i++) { cin >> v[i] >> w[i]; } ll INF = 100000000000023; vector> dp1(N + 1, vector(W + 1 + 30000, -INF)); vector> dp2(N + 1, vector(W + 1 + 30000, 0)); dp1[0][10000] = 0; dp2[0][10000] = 1; for (ll i = 0; i < N; i++) { for (ll j = 0; j <= W + 30000; j++) { // 選ばないとき ll next = dp1[i][j]; if (dp1[i + 1][j] < next) { dp2[i + 1][j] = dp2[i][j]; dp1[i + 1][j] = next; } else if (dp1[i + 1][j] == next) { dp2[i + 1][j] = (dp2[i + 1][j] + dp2[i][j]) % mod2; dp1[i + 1][j] = next; } // 選ぶとき ll nv = j + w[i]; if (nv >= 0 && nv <= W + 30000) { ll next = dp1[i][j] + v[i]; if (dp1[i + 1][nv] < next) { dp2[i + 1][nv] = dp2[i][j]; dp1[i + 1][nv] = next; } else if (dp1[i + 1][nv] == next) { dp2[i + 1][nv] = (dp2[i + 1][nv] + dp2[i][j]) % mod2; dp1[i + 1][nv] = next; } } } } /*for (ll i = 0; i <= N; i++) { for (ll j = -10; j <= 10; j++) { cout << dp1[i][10000 + j] << " "; } cout << endl; } for (ll i = 0; i <= N; i++) { for (ll j = -10; j <= 10; j++) { cout << dp2[i][10000 + j] << " "; } cout << endl; }*/ ll max_ans = -INF; ll max_idx = -1; for (ll i = 0; i <= W + 10000; i++) { if (dp1[N][i] > max_ans) { max_ans = dp1[N][i]; } } ll ans = 0; for (ll i = 0; i <= W + 10000; i++) { if (dp1[N][i] == max_ans) { ans += dp2[N][i]; ans %= mod2; } } cout << max_ans << " " << ans << endl; }