This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#define ff first
#define ss second
#define endl '\n'
using namespace std;
const long long INF = (long long) 1e18;
const int mod = (int) 1e9+7;
const int MAXN = (int) 3e5+5;
typedef long long ll;
typedef unsigned long long ull;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
ll n;
typedef long double ld;
int a[MAXN];
string s;
int Gnext = -1;
ld solve(int idx){
if(s[idx] == '(' && s[idx + 1] == '?' && s[idx + 2] == ')'){
Gnext = idx + 3;
return a[1];
}
Gnext = idx + 1;
vector<ld> dgs;
char op = '_';
while(s[Gnext] != ')'){
dgs.push_back(solve(Gnext));
if(s[Gnext] == ')')
break;
op = s[Gnext++];
}
Gnext++;
sort(dgs.begin(), dgs.end());
int k = dgs.size();
int z = a[k];
ld mx;
if(op == '+')
mx = 0;
else
mx = 1;
for(ld i: dgs){
//cerr<<i<<endl;
ld kc = min((ld) z / k, i);
z -= kc;
k--;
if(op == '*')
mx = mx * kc;
else
mx = mx + kc;
}
//cerr<<endl;
return mx;
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(nullptr);cout.tie(nullptr);
#ifdef Local
freopen("C:/Users/Admin/Desktop/Yazilim/C/IO/int.txt","r",stdin);
freopen("C:/Users/Admin/Desktop/Yazilim/C/IO/out.txt","w",stdout);
#endif
cin>>n;
for(int i = 1; i <= n; i++)
cin>>a[i];
cin>>s;
cout<<fixed<<setprecision(5)<<solve(0)<<endl;
#ifdef Local
cout<<endl<<fixed<<setprecision(2)<<1000.0 * clock() / CLOCKS_PER_SEC<< " milliseconds ";
#endif
}
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