Submission #88726

#TimeUsernameProblemLanguageResultExecution timeMemory
88726jasony123123Kvalitetni (COCI16_kvalitetni)C++11
120 / 120
11 ms4220 KiB
#define _CRT_SECURE_NO_WARNINGS #include <bits/stdc++.h> //#include <ext/pb_ds/tree_policy.hpp> //#include <ext/pb_ds/assoc_container.hpp> using namespace std; //using namespace __gnu_pbds; #define FOR(i,start,end) for(int i=start;i<(int)(end);i++) #define FORE(i,start,end) for(int i=start;i<=(int)end;i++) #define RFOR(i,start,end) for(int i = start; i>end; i--) #define RFORE(i,start,end) for(int i = start; i>=end; i--) #define all(a) a.begin(), a.end() #define mt make_tuple #define v vector #define sf scanf #define pf printf #define dvar(x) cout << #x << " := " << x << "\n" #define darr(x,n) FOR(i,0,n) cout << #x << "[" << i << "]" << " := " << x[i] << "\n" typedef long long ll; typedef long double ld; typedef pair<int, int > pii; typedef pair<ll, ll> pll; const ll MOD = 1000000007LL; const ll PRIME = 105943LL; const ll INF = 1e18; //template <class T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>; template<class T> void minn(T &a, T b) { a = min(a, b); } template<class T> void maxx(T &a, T b) { a = max(a, b); } void io() { #ifdef LOCAL_PROJECT freopen("input.in", "r", stdin); freopen("output.out", "w", stdout); #else /* online submission */ #endif ios_base::sync_with_stdio(false); cin.tie(NULL); } /**************************COCI 2016-2017 Contest 3 Problem 4 *************************/ string expr; int ending[1000000]; int K; ll Z[55]; double calculateSum(v<double> &vals) { double sum = 0; for (auto d : vals) sum += d; return min((double)Z[vals.size()], sum); } double calculateProduct(v<double> &vals) { sort(all(vals)); reverse(all(vals)); double targetSum = Z[vals.size()]; double prod = 1; while (!vals.empty()) { double avg = targetSum / vals.size(); if (vals.back() < avg) { prod *= vals.back(); targetSum -= vals.back(); vals.pop_back(); continue; } FOR(i, 0, vals.size()) prod *= avg; break; } return prod; } double solve(int l, int r) { v<double> vals; char op = '|'; for (int i = l + 1; i < r; i++) { if (expr[i] == '(') { vals.push_back(solve(i, ending[i])); i = ending[i]; } else if (expr[i] == '+'){ assert(op == '|' || op == '+'); op = '+'; } else if (expr[i] == '*') { assert(op == '|' || op == '*'); op = '*'; } else if (expr[i] == '?') return Z[1]; else assert(0); } assert(vals.size() > 1); return (op == '+' ? calculateSum(vals) : calculateProduct(vals)); } void genEnding() { stack<int> open; FOR(i, 0, expr.size()) { char c = expr[i]; if (c == '(') open.push(i); else if (c == ')') { ending[open.top()] = i; open.pop(); } } } int main() { io(); cin >> K; FORE(i, 1, K) cin >> Z[i]; cin >> expr; genEnding(); cout << std::fixed << std::setprecision(9) << solve(0, expr.size() - 1) << "\n"; return 0; }
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