Submission #1313992

#TimeUsernameProblemLanguageResultExecution timeMemory
1313992tkhoi13Balloons (CEOI11_bal)C++20
100 / 100
1085 ms6588 KiB
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#define ll long long
#define db double
#define pii pair<int, int>
#define pll pair<ll, ll>
#define fi first
#define se second
#define pb push_back
#define all(x) begin(x), end(x)
#define allr(x) rbegin(x), rend(x)
#define szx(x) ((int)(x).size())
#define FOR(i, a, b) for (int i = a, _b = (b); i <= _b; ++i)
#define ROF(i, a, b) for (int i = a, _b = (b); i >= _b; --i)
#define REP(i, n) for (int i = 0, _n = (n); i < _n; ++i)
#define endl '\n'
#define inf 1000000007
#define mod 1000000007
// #define mod 998244353

using namespace std;
using namespace __gnu_pbds;

void setIO() {
    ios::sync_with_stdio(0);
    cin.tie(0);
}
void openFile(string filename = "") {
    if (!filename.empty())
        if (ifstream(filename + ".in")) {
            freopen((filename + ".in").c_str(), "r", stdin);
            freopen((filename + ".out").c_str(), "w", stdout);
        }
}
ll binpow(ll a, ll b, int m = mod) {
    ll res = 1;
    a %= m;
    while (b) {
        if (b & 1) res = (a * res) % m;
        a = (a * a) % m;
        b >>= 1;
    }
    return res;
}
const int FMAX = 2e5 + 5;
ll fact[FMAX], invf[FMAX];
void process() {
    fact[1] = fact[0] = invf[1] = invf[0] = 1;
    FOR(i, 2, FMAX - 1) fact[i] = (fact[i - 1] * i) % mod;
    invf[FMAX - 1] = binpow(fact[FMAX - 1], mod - 2, mod);
    ROF(i, FMAX - 1, 1) invf[i - 1] = invf[i] * i % mod;
}
ll comb(int a, int b) {
    b = min(b, a - b);
    if (a < 0 || b < 0) return 0;
    return fact[a] * (invf[b] * invf[a - b] % mod) % mod;
}
const int PMAX = 1e6 + 5;
bool prime[PMAX + 1];
void sieve() {
    fill(prime, prime + PMAX + 1, 1);
    prime[0] = prime[1] = 0;
    for (int i = 2; i * i <= PMAX; i++) {
        if (prime[i] == 0) continue;
        prime[i] = 1;
        for (ll j = i * i; j <= PMAX; j += i) prime[j] = 0;
    }
}
struct DSU {
    vector<int> comp;
    ll ans = 0;
    DSU(int n) { comp.assign(n + 5, -1); }

    int find(int v) { return comp[v] < 0 ? v : comp[v] = find(comp[v]); }

    void unite(int u, int v) {
        u = find(u), v = find(v);
        if (u == v) return;

        if (comp[u] > comp[v]) swap(u, v);
        comp[u] += comp[v];
        comp[v] = u;
    }

    int getsz(int v) { return -comp[find(v)]; }
    bool same(int u, int v) { return find(u) == find(v); }
};

const int MAX = 2e5 + 5;
int n;
pair<int, double> a[MAX];

db calc(int x, pair<int, double> b) { return 1.0 * (x - b.fi) * (x - b.fi) / (4 * b.se); }

void solve() {
    vector<db> ans(n);
    vector<pair<int, db>> st;
    REP(i, n) {
        db r = a[i].se;

        ROF(j, szx(st) - 1, 0) r = min(r, calc(a[i].fi, st[j]));

        while (!st.empty() && r >= st.back().se) st.pop_back();
        ans[i] = r;
        st.push_back({a[i].fi, r});
    }

    REP(i, n) cout << fixed << setprecision(3) << ans[i] << endl;
}

void input() {
    cin >> n;
    REP(i, n) cin >> a[i].fi >> a[i].se;
}

void preprocess() {}

int main() {
    setIO();
    openFile("main");
    int t = 1;
    // cin >> t;
    preprocess();
    while (t--) {
        input();
        solve();
    }
}

Compilation message (stderr)

bal.cpp: In function 'void openFile(std::string)':
bal.cpp:32:20: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   32 |             freopen((filename + ".in").c_str(), "r", stdin);
      |             ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
bal.cpp:33:20: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   33 |             freopen((filename + ".out").c_str(), "w", stdout);
      |             ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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