#include #define FOR(i,a,b) for (int i=(a);i<(b);i++) #define FORR(i,a,b) for (int i=(a);i>=(b);i--) #define pb push_back #define pcnt __builtin_popcount #define show(x) cout<<#x<<" = "< pii; typedef vector vi; typedef vector vvi; typedef vector vpii; typedef set si; typedef pair pll; typedef vector vl; typedef vector vvl; typedef vector vpll; typedef set sl; templatestring join(vector&v) {stringstream s;FOR(i,0,sz(v))s<<' '<b)swap(a,b);for(;a>0;b%=a,swap(a,b));return b;} int modpow(ll a,ll n,int m){if(a==0)return a;ll p=1;for(;n>0;n/=2,a=a*a%m)if(n&1)p=p*a%m;return(int)p;} void dout(double d){printf("%.12f\n",d);} const int iinf = 1e9; const ll linf = 1e18; const int mod = 1e9+7; const double pi = acos(-1); const double eps = 1e-10; double r[2], m[2], e[2][2] = { {0.75, 2./7}, {0.25, 5./7} }; const int GN=2; struct Gauss{ int solve(int n, double o[GN][GN], double u[GN], double r[GN]) { int q; double m[GN][GN],v[GN], p; memmove(m,o,sizeof(m)); memmove(v,u,sizeof(v)); FOR(i, 0, n) { p = 0.; q = 0; FOR(j, i, n) if(p < abs(m[i][j])){ p = abs(m[i][j]); q = j; } if(p < eps) return -1; swap(v[i],v[q]); FOR(k, i, n) swap(m[i][k], m[q][k]); v[i]/=m[i][i]; FORR(k, n-1, i) m[i][k]/=m[i][i]; FOR(j, i+1, n){ v[j]-=v[i]*m[j][i]; FORR(k, n-1, i) m[j][k]-=m[i][k]*m[j][i]; } } FORR(i, n-1, 0) { FORR(j, n-1, i+1) v[i]-=m[i][j]*v[j],m[i][j]=0; r[i]=v[i]; } return 0; } }; Gauss g; main(){ cin.tie(0); ios::sync_with_stdio(false); cin >> m[0] >> m[1]; g.solve(2, e, m, r); double ans; if(r[0] >= 0 && r[1] >= 0){ ans = r[0] * 1000 + r[1] * 2000; }else if(r[1] < 0){ ans = m[1] * 4 * 1000; }else{ ans = m[0] * 7 / 2 * 2000; } dout(ans); }