#include #include #include #include #include using std::cin; using std::cout; const char endl = '\n'; const int N = 1005; int n, m, t[N], a[N], b[N], c[N], d[N], f[N][N][2]; std::vector> nums{{0, 1}}; bool check(int p, int q) { memset(f, 0xc0, sizeof(f)); f[0][0][0] = 0; for (int i = 1; i <= n; i++) { if (d[i]) { for (int j = 0; j <= m; j++) { f[i][j][1] = std::max({ f[i][j][1], f[i - 1][j][0] - d[i] * p, f[i - 1][j][1] - d[i] * p, }); } } else { // d[i] == 0 for (int j = 0; j <= m; j++) { f[i][j][0] = std::max(f[i][j][0], f[i - 1][j][0]); f[i][j][1] = std::max(f[i][j][1], f[i - 1][j][1]); } } if (b[i]) { for (int j = t[i]; j <= m; j++) { f[i][j][1] = std::max({ f[i][j][1], f[i - 1][j - t[i]][0] - b[i] * p + (a[i] + c[i]) * q, f[i - 1][j - t[i]][1] - b[i] * p + (a[i] + c[i]) * q, }); } } else { // b[i] == 0 for (int j = t[i]; j <= m; j++) { f[i][j][0] = std::max(f[i][j][0], f[i - 1][j - t[i]][0] + (a[i] + c[i]) * q); f[i][j][1] = std::max(f[i][j][1], f[i - 1][j - t[i]][1] + (a[i] + c[i]) * q); } } } for (int j = 0; j <= m; j++) { if (f[n][j][1] >= 0 || f[n][j][0] - p >= 0) return true; } return false; } int main() { std::ios::sync_with_stdio(false); cin.tie(nullptr); cin >> n >> m; for (int i = 1; i <= n; i++) { cin >> t[i] >> a[i] >> b[i] >> c[i] >> d[i]; } for (int i = 1; i <= 1000; i++) { for (int j = 1; j <= 1000; j++) { if (std::__gcd(i, j) == 1) { nums.emplace_back(i, j); } } } std::sort(nums.begin(), nums.end(), [&](const std::pair &a, const std::pair &b) { return a.first * b.second < a.second * b.first; }); int l = 0, r = nums.size() - 1, res = 0; while (l <= r) { int mid = l + r >> 1; if (check(nums[mid].first, nums[mid].second)) { l = mid + 1; res = mid; } else { r = mid - 1; } } cout << nums[res].first << ' ' << nums[res].second << endl; return 0; }