Submission #1031459

#TimeUsernameProblemLanguageResultExecution timeMemory
1031459BoasMobile (BOI12_mobile)C++17
100 / 100
1000 ms74884 KiB
#include <bits/stdc++.h> #include <ext/pb_ds/assoc_container.hpp> using namespace std; using namespace __gnu_pbds; template <typename T1, typename T2> using indexed_map = tree<T1, T2, less<T1>, rb_tree_tag, tree_order_statistics_node_update>; template <typename T> using indexed_set = indexed_map<T, null_type>; #define loop(x, i) for (int i = 0; i < (x); i++) #define loop1(x, i) for (int i = 1; i <= (x); i++) #define rev(x, i) for (int i = (int)(x) - 1; i >= 0; i--) #define itloop(x) for (auto it = begin(x); x != end(x); it++) #define itrev(x) for (auto it = rbegin(x); x != rend(x); it++) // #define int long long #define INF ((int64_t)(4e18 + 1)) #define INF32 ((int32_t)(2e9 + 1)) #define ALL(x) begin(x), end(x) #define RALL(x) rbegin(x), rend(x) #define existsIn(x, l) (count(ALL(l), x) > 0) #define removeIn(x, l) l.erase(find(ALL(l), x)) #define pb push_back #define sz(x) (int)(x).size() #define x first #define y second #define var const auto & #define foreach(l) for (var e : l) typedef pair<int, int> ii; typedef tuple<int, int, int> iii; typedef vector<int> vi; typedef vector<vi> vvi; typedef vector<ii> vii; typedef vector<iii> viii; typedef vector<vii> vvii; typedef vector<viii> vviii; typedef set<int> si; typedef set<ii> sii; typedef set<iii> siii; typedef vector<si> vsi; typedef vector<sii> vsii; typedef vector<vsi> vvsi; typedef vector<string> vstr; typedef vector<vector<string>> vvstr; typedef vector<bool> vb; typedef vector<vb> vvb; typedef vi::iterator viit; typedef si::iterator siit; typedef int8_t in8; typedef int16_t in16; typedef int32_t in32; typedef int64_t in64; typedef double ld; typedef vector<pair<ld, ld>> vff; // ld eps = 4e-4; // 13pt ld eps = 5e-4; // 13pt // ld eps = 1e-18; // 4pt: TLE void solve() { int N; ld L; cin >> N >> L; vii points; loop(N, i) { int x, y; cin >> x >> y; if (!points.empty() && points.back().x == x) { points.back().y = min(abs(y), abs(points.back().y)); } else points.pb({x, y}); } N = points.size(); vff a; for (var[x, y] : points) a.pb({x, y}); /*vff a(N); loop(N, i) { cin >> a[i].x >> a[i].y; }*/ ld lo = 0.0L, hi = sqrt(1e18L + L * L); while (hi - lo > eps) { ld R = lo + (hi - lo) / 2.0L; vff segments; loop(N, i) { auto [x, y] = a[i]; ld D = (R * R) - ((ld)y * (ld)y); if (D >= 0.0L) { ld l = x - sqrt(D); ld r = x + sqrt(D); l = max(l, 0.0); r = min(r, L); if (l > r) continue; while (!segments.empty() && segments.back().x > l) { segments.pop_back(); } segments.pb({l, r}); } } if (segments.empty()) { lo = R; continue; } // sort(ALL(segments)); bool highwayCovered = 1; ld l = segments[0].first, r = segments[0].second; if (l > 0) highwayCovered = 0; else { for (auto [l_i, r_i] : segments) { if (l_i > r) { highwayCovered = 0; break; } r = max(r, r_i); } } if (r < L) highwayCovered = 0; if (highwayCovered) { hi = R; } else lo = R; } ld res = lo + (hi - lo) / 2.0L; cout << fixed << setprecision(4) << res << endl; } signed main() { cin.tie(0)->sync_with_stdio(0); solve(); }
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