This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#ifndef Local
#pragma GCC optimize("O3,unroll-loops")
const int lim=2e5+100;
#else
const int lim=1e3+100;
#endif
#include "bits/stdc++.h"
using namespace std;
#define int long long
#define pb push_back
const int mod=1e9+7;
using pii=pair<int,int>;
double a[51];
vector<int>types;
vector<vector<int>>v;
double dfs(int node){
if(!types[node]){
if(v[node].size())return dfs(v[node][0]);
return a[1];
}
else if(types[node]==1){
double sum=0;
for(int j:v[node]){
sum+=dfs(j);
}
return min(sum,a[v[node].size()]);
}
else{
vector<double>vals;
for(int j:v[node]){
vals.pb(dfs(j));
}
sort(vals.begin(),vals.end());
double ans=1,can=a[v[node].size()];
for(int i=0;i<vals.size();i++){
if(vals[i]>=can/(vals.size()-i)){
ans*=can/(vals.size()-i);
can-=can/(vals.size()-i);
}
else{
ans*=vals[i];
can-=vals[i];
}
}
return ans;
}
}
inline void solve(){
int n;
cin>>n;
for(int i=1;i<=n;i++){
cin>>a[i];
}
string s;
cin>>s;
stack<int>curhave;
for(int i=0;i<s.size();i++){
if(s[i]=='('){
if(curhave.size())v[curhave.top()].pb(v.size());
types.pb(0);
curhave.push(v.size());
v.pb(vector<int>());
}else if(s[i]=='+'){
types[curhave.top()]=1;
}else if(s[i]=='*'){
types[curhave.top()]=2;
}else if(s[i]==')'){
curhave.pop();
}
}
cout<<dfs(0)<<"\n";
}
signed main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);cout.tie(NULL);
#ifdef Local
freopen(".in","r",stdin);
freopen(".out","w",stdout);
#else
//freopen("grass.in","r",stdin);
//freopen("grass.out","w",stdout);
#endif
int t=1;
//cin>>t;
while (t--)
{
solve();
}
}
Compilation message (stderr)
kvalitetni.cpp: In function 'double dfs(long long int)':
kvalitetni.cpp:39:22: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<double>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
39 | for(int i=0;i<vals.size();i++){
| ~^~~~~~~~~~~~
kvalitetni.cpp: In function 'void solve()':
kvalitetni.cpp:61:18: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
61 | for(int i=0;i<s.size();i++){
| ~^~~~~~~~~
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