#include #include using namespace std; using namespace atcoder; typedef long long int ll; typedef long double ld; typedef vector vi; typedef vector vl; typedef vector vvl; typedef vector vvvl; typedef vector vvvvl; typedef vector vb; typedef vector vvb; typedef vector vvvb; typedef vector vvvvb; typedef pair pl; typedef pair ppl; typedef pair pppl; typedef pair pppppl; #define rep(i,a,b) for(int i=(a);i<(b);i++) #define rrep(i,a,b) for(int i=(b)-1;i>=(a);i--) #define all(a) begin(a),end(a) #define sz(a) (int)(a).size() #define F first #define S second #define bs(A,x) binary_search(all(A),x) #define lb(A,x) (ll)(lower_bound(all(A),x)-A.begin()) #define ub(A,x) (ll)(upper_bound(all(A),x)-A.begin()) #define cou(A,x) (ll)(upper_bound(all(A),x)-lower_bound(all(A),x)) templateusing min_priority_queue=priority_queue,greater>; templatebool chmax(T&a,T b){if(abool chmin(T&a,T b){if(b vm; typedef vector vvm; typedef vector vvvm; typedef vector vvvvm; ostream&operator<<(ostream&os,mint a){os<>(istream&is,mint&a){int x;is>>x;a=mint(x);return is;} //*/ templateostream&operator<<(ostream&os,pairp){os<istream&operator>>(istream&is,pair&p){is>>p.F>>p.S;return is;} templateostream&operator<<(ostream&os,vectorv){rep(i,0,sz(v))os<istream&operator>>(istream&is,vector&v){for(T&in:v)is>>in;return is;} int main(){ cin.tie(0)->sync_with_stdio(0); cin.exceptions(cin.failbit); ll N,X,Y;cin>>N>>X>>Y; vl W(N),V(N),C(N); rep(i,0,N)cin>>W[i]>>V[i]>>C[i]; ld l=0,r=10000; rep(i,0,N)chmax(l,(ld)V[i]/W[i]); if(Y==0)r=l; else rep(_,0,40){ ld m=(l+r)/2; vectorDP(X,-1e18); rep(i,0,N){ vectorEP=DP; vectorupdate(X,-1e18); rep(j,1,C[i]+1){ chmax(EP[W[i]*j%X],(V[i]-m*W[i])*j+W[i]*j/X*Y); chmax(update[W[i]*j%X],(V[i]-m*W[i])*j+W[i]*j/X*Y); } rep(k,0,X)if(update[k]>-1e17)rep(j,0,X)chmax(EP[(j+k)%X],DP[j]+update[k]+Y*(j+k>=X)); DP=EP; } if(*max_element(all(DP))>=0)l=m; else r=m; } printf("%.20Lf\n",(l+r)/2); return 0; }