Submission #1070632

#TimeUsernameProblemLanguageResultExecution timeMemory
1070632steveonalexBalloons (CEOI11_bal)C++17
30 / 100
2027 ms9552 KiB
#include <bits/stdc++.h> using namespace std; typedef long long ll; typedef unsigned long long ull; #define MASK(i) (1LL << (i)) #define GETBIT(mask, i) (((mask) >> (i)) & 1) #define ALL(v) (v).begin(), (v).end() #define block_of_code if(true) ll max(ll a, ll b){return (a > b) ? a : b;} ll min(ll a, ll b){return (a < b) ? a : b;} ll gcd(ll a, ll b){return __gcd(a, b);} ll lcm(ll a, ll b){return a / gcd(a, b) * b;} ll LASTBIT(ll mask){return (mask) & (-mask);} int pop_cnt(ll mask){return __builtin_popcountll(mask);} int ctz(ull mask){return __builtin_ctzll(mask);} int logOf(ull mask){return 63 - __builtin_clzll(mask);} mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count()); ll rngesus(ll l, ll r){return l + (ull) rng() % (r - l + 1);} double rngesus_d(double l, double r){ double cur = rngesus(0, MASK(60) - 1); cur /= MASK(60) - 1; return l + cur * (r - l); } template <class T1, class T2> bool maximize(T1 &a, T2 b){ if (a < b) {a = b; return true;} return false; } template <class T1, class T2> bool minimize(T1 &a, T2 b){ if (a > b) {a = b; return true;} return false; } template <class T> void printArr(T container, string separator = " ", string finish = "\n", ostream &out = cout){ for(auto item: container) out << item << separator; out << finish; } template <class T> void remove_dup(vector<T> &a){ sort(ALL(a)); a.resize(unique(ALL(a)) - a.begin()); } pair<double, double> god_point = {1e9, 1e9}; double sqr(double x){return x * x;} double distance(pair<double, double> a, pair<double, double> b){ return sqrt(sqr(a.first - b.first) + sqr(a.second - b.second)); } int main(void){ ios::sync_with_stdio(0);cin.tie(0); cout.tie(0); clock_t start = clock(); int n; cin >> n; vector<int> x(n), radius(n); for(int i = 0; i<n; ++i) cin >> x[i] >> radius[i]; vector<double> ans(n); cout << fixed << setprecision(3); vector<int> st; for(int i = 0; i<n; ++i){ double l = 0, r = radius[i]; for(int j = 0; j < 70; ++j){ double mid = (l + r) / 2; pair<double, double> p = {x[i], mid}; bool check = true; for(int k: st){ pair<double, double> cur = {x[k], ans[k]}; if (distance(cur, p) < ans[k] + mid) check = false; } if (check) l = mid; else r = mid; } ans[i] = l; while(st.size()){ int k = st.back(); pair<double, double> p = {x[i], ans[i]}; pair<double, double> prev = {x[k], ans[k]}; if (distance(god_point, prev) - ans[k] > distance(god_point, p) - ans[i]) st.pop_back(); else break; } st.push_back(i); } printArr(ans, "\n"); cerr << "Time elapsed: " << clock() - start << " ms\n"; return 0; }
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