結果
問題 | No.2438 Double Least Square |
ユーザー | tatyam |
提出日時 | 2023-08-18 22:45:31 |
言語 | C++23 (gcc 12.3.0 + boost 1.83.0) |
結果 |
WA
|
実行時間 | - |
コード長 | 9,995 bytes |
コンパイル時間 | 3,377 ms |
コンパイル使用メモリ | 260,396 KB |
実行使用メモリ | 5,376 KB |
最終ジャッジ日時 | 2024-05-06 05:08:30 |
合計ジャッジ時間 | 4,590 ms |
ジャッジサーバーID (参考情報) |
judge4 / judge1 |
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テストケース
テストケース表示入力 | 結果 | 実行時間 実行使用メモリ |
---|---|---|
testcase_00 | AC | 2 ms
5,248 KB |
testcase_01 | AC | 2 ms
5,376 KB |
testcase_02 | AC | 1 ms
5,376 KB |
testcase_03 | AC | 1 ms
5,376 KB |
testcase_04 | AC | 1 ms
5,376 KB |
testcase_05 | AC | 2 ms
5,376 KB |
testcase_06 | AC | 2 ms
5,376 KB |
testcase_07 | AC | 1 ms
5,376 KB |
testcase_08 | AC | 2 ms
5,376 KB |
testcase_09 | AC | 2 ms
5,376 KB |
testcase_10 | AC | 11 ms
5,376 KB |
testcase_11 | AC | 12 ms
5,376 KB |
testcase_12 | AC | 11 ms
5,376 KB |
testcase_13 | AC | 12 ms
5,376 KB |
testcase_14 | AC | 11 ms
5,376 KB |
testcase_15 | AC | 11 ms
5,376 KB |
testcase_16 | AC | 12 ms
5,376 KB |
testcase_17 | AC | 12 ms
5,376 KB |
testcase_18 | AC | 12 ms
5,376 KB |
testcase_19 | AC | 12 ms
5,376 KB |
testcase_20 | WA | - |
testcase_21 | WA | - |
testcase_22 | WA | - |
testcase_23 | AC | 13 ms
5,376 KB |
testcase_24 | WA | - |
testcase_25 | WA | - |
testcase_26 | WA | - |
testcase_27 | WA | - |
testcase_28 | WA | - |
testcase_29 | WA | - |
testcase_30 | AC | 2 ms
5,376 KB |
testcase_31 | AC | 2 ms
5,376 KB |
testcase_32 | AC | 2 ms
5,376 KB |
ソースコード
#include <bits/stdc++.h> using namespace std; using ll = long long; using ld = long double; using ull = unsigned long long; using uint = unsigned; using pii = pair<int, int>; using pll = pair<ll, ll>; using pdd = pair<ld, ld>; using tuplis = array<ll, 3>; template<class T> using pq = priority_queue<T, vector<T>, greater<T>>; const ll LINF=0x1fffffffffffffff; const ll MINF=0x7fffffffffff; const int INF=0x3fffffff; const int MOD=1000000007; const int MODD=998244353; const ld DINF=numeric_limits<ld>::infinity(); const ld EPS=1e-9; const ld PI=3.1415926535897932; const ll dx[] = {0, 1, 0, -1, 1, -1, 1, -1}; const ll dy[] = {1, 0, -1, 0, 1, 1, -1, -1}; #define overload5(a,b,c,d,e,name,...) name #define overload4(a,b,c,d,name,...) name #define overload3(a,b,c,name,...) name #define rep1(n) for(ll i=0;i<n;++i) #define rep2(i,n) for(ll i=0;i<n;++i) #define rep3(i,a,b) for(ll i=a;i<b;++i) #define rep4(i,a,b,c) for(ll i=a;i<b;i+=c) #define rep(...) overload4(__VA_ARGS__,rep4,rep3,rep2,rep1)(__VA_ARGS__) #define rrep1(n) for(ll i=n;i--;) #define rrep2(i,n) for(ll i=n;i--;) #define rrep3(i,a,b) for(ll i=b;i-->(a);) #define rrep4(i,a,b,c) for(ll i=(a)+((b)-(a)-1)/(c)*(c);i>=(a);i-=c) #define rrep(...) overload4(__VA_ARGS__,rrep4,rrep3,rrep2,rrep1)(__VA_ARGS__) #define each1(i,a) for(auto&&i:a) #define each2(x,y,a) for(auto&&[x,y]:a) #define each3(x,y,z,a) for(auto&&[x,y,z]:a) #define each4(w,x,y,z,a) for(auto&&[w,x,y,z]:a) #define each(...) overload5(__VA_ARGS__,each4,each3,each2,each1)(__VA_ARGS__) #define all1(i) begin(i),end(i) #define all2(i,a) begin(i),begin(i)+a #define all3(i,a,b) begin(i)+a,begin(i)+b #define all(...) overload3(__VA_ARGS__,all3,all2,all1)(__VA_ARGS__) #define rall1(i) rbegin(i),rend(i) #define rall2(i,a) rbegin(i),rbegin(i)+a #define rall3(i,a,b) rbegin(i)+a,rbegin(i)+b #define rall(...) overload3(__VA_ARGS__,rall3,rall2,rall1)(__VA_ARGS__) #define sum(...) accumulate(all(__VA_ARGS__),0LL) #define dsum(...) accumulate(all(__VA_ARGS__),0.0L) #define Msum(...) accumulate(all(__VA_ARGS__),mint{}) #define elif else if #define INT(...) int __VA_ARGS__;in(__VA_ARGS__) #define LL(...) ll __VA_ARGS__;in(__VA_ARGS__) #define ULL(...) ull __VA_ARGS__;in(__VA_ARGS__) #define STR(...) string __VA_ARGS__;in(__VA_ARGS__) #define CHR(...) char __VA_ARGS__;in(__VA_ARGS__) #define DBL(...) double __VA_ARGS__;in(__VA_ARGS__) #define LD(...) ld __VA_ARGS__;in(__VA_ARGS__) #define vec(type,name,...) vector<type>name(__VA_ARGS__) #define VEC(type,name,size) vector<type>name(size);in(name) #define vv(type,name,h,...) vector name(h,vector<type>(__VA_ARGS__)) #define VV(type,name,h,w) vector name(h,vector<type>(w));in(name) #define vvv(type,name,h,w,...) vector name(h,vector(w,vector<type>(__VA_ARGS__))) template<class T> auto min(const T& a){ return *min_element(all(a)); } template<class T> auto max(const T& a){ return *max_element(all(a)); } template<class T, class U> ll count(const T& a, const U& b){ return count(all(a), b); } template<class T, class F> ll count_if(const T& a, F b){ return count_if(all(a), b); } template<class T, class F> void filter(T& a, F b){ a.erase(remove_if(all(a), not_fn(b)), a.end()); } template<class T, class F = less<>> void sor(T& a, F b = F{}){ sort(all(a), b); } template<class T> void rev(T& a){ reverse(all(a)); } template<class T> void uniq(T& a){ sor(a); a.erase(unique(all(a)), end(a)); } ll popcnt(ull a){ return __builtin_popcountll(a); } ll intpow(ll a, ll b){ ll ans = 1; while(b){ if(b & 1) ans *= a; a *= a; b /= 2; } return ans; } ll modpow(ll a, ll b, ll p){ ll ans = 1; while(b){ if(b & 1) (ans *= a) %= p; (a *= a) %= p; b /= 2; } return ans; } template<class T> T div_floor(T a, T b) { return a / b - ((a ^ b) < 0 && a % b); } template<class T> T div_ceil(T a, T b) { return a / b + ((a ^ b) > 0 && a % b); } template<class T> bool chmin(T& a, const T& b){ if(a <= b) return 0; a = b; return 1; } template<class T> bool chmax(T& a, const T& b){ if(a >= b) return 0; a = b; return 1; } template<class T, class U> bool chmin(T& a, const U& b){ return chmin(a, (T)b); } template<class T, class U> bool chmax(T& a, const U& b){ return chmax(a, (T)b); } vector<ll> iota(ll n, ll begin = 0){ vector<ll> a(n); iota(a.begin(), a.end(), begin); return a; } vector<pll> factor(ull x){ vector<pll> ans; for(ull i = 2; i * i <= x; i++) if(x % i == 0){ ans.push_back({i, 1}); while((x /= i) % i == 0) ans.back().second++; } if(x != 1) ans.push_back({x, 1}); return ans; } vector<ll> divisor(ull x){ vector<ll> ans; for(ull i = 1; i * i <= x; i++) if(x % i == 0) ans.push_back(i); rrep(ans.size() - (ans.back() * ans.back() == x)) ans.push_back(x / ans[i]); return ans; } template<class T> unordered_map<T, ll> press(vector<T> a){ uniq(a); unordered_map<T, ll> ans; rep(a.size()) ans[a[i]] = i; return ans; } template<class T> auto run_press(const T& a){ vector<pair<decay_t<decltype(a[0])>, ll>> ans; each(x, a){ if(ans.empty() || ans.back().first != x) ans.emplace_back(x, 1); else ans.back().second++; } return ans; } template<class... Ts> void in(Ts&... t); [[maybe_unused]] void print(){} template<class T, class... Ts> void print(const T& t, const Ts&... ts); template<class... Ts> void out(const Ts&... ts){ print(ts...); cout << '\n'; } namespace IO{ #define VOID(a) decltype(void(a)) struct S{ S(){ cin.tie(nullptr)->sync_with_stdio(0); fixed(cout).precision(12); } }S; template<int I> struct P : P<I-1>{}; template<> struct P<0>{}; template<class T> void i(T& t){ i(t, P<3>{}); } void i(vector<bool>::reference t, P<3>){ int a; i(a); t = a; } template<class T> auto i(T& t, P<2>) -> VOID(cin >> t){ cin >> t; } template<class T> auto i(T& t, P<1>) -> VOID(begin(t)){ for(auto&& x : t) i(x); } template<class T, size_t... idx> void ituple(T& t, index_sequence<idx...>){ in(get<idx>(t)...); } template<class T> auto i(T& t, P<0>) -> VOID(tuple_size<T>{}){ ituple(t, make_index_sequence<tuple_size<T>::value>{}); } template<class T> void o(const T& t){ o(t, P<4>{}); } template<size_t N> void o(const char (&t)[N], P<4>){ cout << t; } template<class T, size_t N> void o(const T (&t)[N], P<3>){ o(t[0]); for(size_t i = 1; i < N; i++){ o(' '); o(t[i]); } } template<class T> auto o(const T& t, P<2>) -> VOID(cout << t){ cout << t; } template<class T> auto o(const T& t, P<1>) -> VOID(begin(t)){ bool first = 1; for(auto&& x : t) { if(first) first = 0; else o(' '); o(x); } } template<class T, size_t... idx> void otuple(const T& t, index_sequence<idx...>){ print(get<idx>(t)...); } template<class T> auto o(T& t, P<0>) -> VOID(tuple_size<T>{}){ otuple(t, make_index_sequence<tuple_size<T>::value>{}); } #undef VOID } #define unpack(a) (void)initializer_list<int>{(a, 0)...} template<class... Ts> void in(Ts&... t){ unpack(IO::i(t)); } template<class T, class... Ts> void print(const T& t, const Ts&... ts){ IO::o(t); unpack(IO::o((cout << ' ', ts))); } #undef unpack #ifdef DEBUG ll __lg(ull x){ return 63 - __builtin_clzll(x); } #define debug(...) { print(#__VA_ARGS__); print(":"); out(__VA_ARGS__); } #else #define debug(...) void(0) #endif #define YESNO(yes,no) void yes(bool i = 1){ out(i?#yes:#no); } void no(){ out(#no); } YESNO(first, second) YESNO(First, Second) YESNO(Yes, No) YESNO(YES, NO) YESNO(possible, impossible) YESNO(Possible, Impossible) YESNO(POSSIBLE, IMPOSSIBLE) void Case(ll i){ print("Case #"); print(i); print(": "); } struct Quad { ll a, b, c; Quad(): a{0}, b{0}, c{0}{} Quad(ll x, ll y){ a = x * x; b = -2 * x * y; c = y * y; } Quad& operator+=(Quad q) { a += q.a; b += q.b; c += q.c; return *this; } Quad& operator-=(Quad q) { a -= q.a; b -= q.b; c -= q.c; return *this; } ld minimum() const { if(a == 0) return 0; return (ld)-b * b / a / 4.0L + c; } }; template<class T> using P = pair<T, T>; #define x first #define y second template<class T> P<T> operator+(const P<T>& a, const P<T>& b) { return {a.x + b.x, a.y + b.y}; } template<class T> P<T> operator-(const P<T>& a, const P<T>& b) { return {a.x - b.x, a.y - b.y}; } template<class T> P<T> operator-(const P<T>& a) { return {-a.x, -a.y}; } template<class T, class U> P<T> operator*(const P<T>& a, const U& b) { return {a.x * b, a.y * b}; } template<class T, class U> P<T> operator/(const P<T>& a, const U& b) { return {a.x / b, a.y / b}; } template<class T> P<T>& operator+=(P<T>& a, const P<T>& b) { return a = a + b; } template<class T> P<T>& operator-=(P<T>& a, const P<T>& b) { return a = a - b; } template<class T, class U> P<T>& operator*=(P<T>& a, const U& b) { return a = a * b; } template<class T, class U> P<T>& operator/=(P<T>& a, const U& b) { return a = a / b; } template<class T> P<T> rotate(const P<T>& a) { return {-a.y, a.x}; } // 90 degree ccw template<class T> T dot(const P<T>& a, const P<T>& b) { return a.x * b.x + a.y * b.y; } template<class T> T cross(const P<T>& a, const P<T>& b) { return dot(rotate(a), b); } template<class T> T square(const P<T>& a) { return dot(a, a); } template<class T> ld abs(const P<T>& a) { return hypotl(a.x, a.y); } template<class T> T gcd(const P<T>& a) { return gcd(a.x, a.y); } template<class T> P<T> normalize(P<T> a) { if(a == P<T>{}) return a; a /= gcd(a); if(a < P<T>{}) a = -a; return a; } int main(){ LL(n); LL(h); VEC(pll,a,n); each(x,a){ x.y*=2; x.y-=h; } sor(a,[&](pll a,pll b){ return cross(a,b)>0; }); each(x,a){ x.y+=h; x.y/=2; } ld ans=INFINITY; rep(cross,501){ Quad A,B; each(x,y,a){ if(x<cross)A+=Quad(x,y-h); else B+=Quad(x,y); } chmin(ans,A.minimum()+B.minimum()); each(x,y,a){ if(x<cross){ A-=Quad(x,y-h); B+=Quad(x,y); } else{ A+=Quad(x,y-h); B-=Quad(x,y); } chmin(ans,A.minimum()+B.minimum()); } } out(ans); }