#include<bits/stdc++.h>
using namespace std;
const int N = 1e6 + 100;
int n, op[N];
vector < int > g[N];
double a[N], z[51];
inline double add(vector < int > &v){
double sum = 0;
for(int i = 0; i < (int)v.size(); i++){
sum += a[v[i]];
}
return min(sum, z[(int)v.size()]);
}
inline bool cmp(int x, int y){
return a[x] < a[y];
}
inline double mult(vector < int > &v){
sort(v.begin(), v.end(), cmp);
double sum = z[(int)v.size()], res = 1;
for(int i = 0; i < (int)v.size(); i++){
double mn = min(a[v[i]], sum / (double)((int)v.size() - i));
res *= mn;
sum -= mn;
}
return res;
}
int main(){
ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
cin >> n;
for(int i = 1; i <= n; i++){
cin >> z[i];
}
string s;
cin >> s;
stack < int > q;
int cur = 0;
for(auto it : s){
if(it == '('){
if(!q.empty()){
g[q.top()].push_back(cur);
}
q.push(cur++);
}
else if(it == ')'){
int x = q.top();
q.pop();
if(g[x].empty()){
a[x] = z[1];
}
else{
a[x] = (op[x] == 1 ? add(g[x]) : mult(g[x]));
}
}
else if(it == '+'){
op[q.top()] = 1;
}
else if(it == '*'){
op[q.top()] = 2;
}
}
cout << fixed << setprecision(6) << a[0];
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
22 ms |
23808 KB |
Output is correct |
2 |
Correct |
24 ms |
23808 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
25 ms |
23936 KB |
Output is correct |
2 |
Correct |
25 ms |
23800 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
23 ms |
23928 KB |
Output is correct |
2 |
Correct |
24 ms |
23936 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
25 ms |
24032 KB |
Output is correct |
2 |
Correct |
24 ms |
23936 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
23 ms |
23928 KB |
Output is correct |
2 |
Correct |
21 ms |
23936 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
22 ms |
23936 KB |
Output is correct |
2 |
Correct |
23 ms |
24064 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
22 ms |
23892 KB |
Output is correct |
2 |
Correct |
27 ms |
25220 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
26 ms |
24440 KB |
Output is correct |
2 |
Correct |
31 ms |
25360 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
32 ms |
24972 KB |
Output is correct |
2 |
Correct |
31 ms |
26412 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
26 ms |
24696 KB |
Output is correct |
2 |
Correct |
32 ms |
26132 KB |
Output is correct |