# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
23070 | model_code | Kvalitetni (COCI16_kvalitetni) | C++11 | 13 ms | 42724 KiB |
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 <cstdio>
#include <iostream>
#include <cstring>
#include <stack>
#include <vector>
#include <algorithm>
#include <cassert>
using namespace std;
const int MAXN = 1000010;
enum {ADD, MUL};
char a[MAXN];
stack<int> s;
vector<int> e[MAXN];
int n, m, k, z[MAXN], op[MAXN];
double val[MAXN];
bool cmp(int i, int j) {
return val[i] < val[j];
}
double get_mul(vector<int>& v) {
assert((int)v.size() <= k);
sort(v.begin(), v.end(), cmp);
double tot = z[(int)v.size()];
double ret = 1;
for (int i = 0; i < (int)v.size(); ++i) {
int rem = (int)v.size() - i;
if (tot / rem < val[v[i]]) {
for (int j = i; j < (int)v.size(); ++j)
ret *= tot / rem;
break;
} else {
ret *= val[v[i]];
tot -= val[v[i]];
}
}
return ret;
}
double get_add(vector<int>& v) {
double ret = 0;
for (int i = 0; i < (int)v.size(); ++i)
ret += val[v[i]];
return min(ret, (double)z[(int)v.size()]);
}
int main(void) {
scanf("%d",&k);
for (int i = 1; i <= k; ++i)
scanf("%d",&z[i]);
scanf("%s",a);
n = strlen(a);
for (int i = 0; i < n; ++i) {
if (a[i] == '(') {
if (!s.empty()) {
e[s.top()].push_back(m);
}
s.push(m++);
}
else if (a[i] == '+')
op[s.top()] = ADD;
else if (a[i] == '*')
op[s.top()] = MUL;
else if (a[i] == ')') {
int x = s.top();
s.pop();
if (e[x].empty()) {
val[x] = z[1];
assert(val[x] != 0);
}
else {
val[x] = (op[x] == ADD) ? get_add(e[x]) : get_mul(e[x]);
}
}
}
printf("%.9lf\n",val[0]);
return 0;
}
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