#593973 (C++17) No.1319 最強とんがりコーン

• 問題: No.1319 最強とんがりコーン
• ユーザー: hotman78
• 提出日時: 2020-12-16 01:26:11
• 言語: C++17 (gcc 12.3.0 + boost 1.83.0)
• 結果: AC
• 実行時間: 504 ms / 2,000 ms
• コード長: 3,734 bytes
• コンパイル時間: 3,669 ms
• コンパイル使用メモリ: 227,808 KB
• 実行使用メモリ: 5,376 KB
• 最終ジャッジ日時: 2024-09-20 03:59:53
• 合計ジャッジ時間: 31,241 ms
• ジャッジサーバーID （参考情報）: judge1 / judge2

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	256 ms; 5,248 KB
testcase_01	AC	265 ms; 5,376 KB
testcase_02	AC	440 ms; 5,376 KB
testcase_03	AC	458 ms; 5,376 KB
testcase_04	AC	295 ms; 5,376 KB
testcase_05	AC	432 ms; 5,376 KB
testcase_06	AC	438 ms; 5,376 KB
testcase_07	AC	456 ms; 5,376 KB
testcase_08	AC	438 ms; 5,376 KB
testcase_09	AC	431 ms; 5,376 KB
testcase_10	AC	497 ms; 5,376 KB
testcase_11	AC	448 ms; 5,376 KB
testcase_12	AC	435 ms; 5,376 KB
testcase_13	AC	446 ms; 5,376 KB
testcase_14	AC	477 ms; 5,376 KB
testcase_15	AC	443 ms; 5,376 KB
testcase_16	AC	467 ms; 5,376 KB
testcase_17	AC	413 ms; 5,376 KB
testcase_18	AC	463 ms; 5,376 KB
testcase_19	AC	381 ms; 5,376 KB
testcase_20	AC	257 ms; 5,376 KB
testcase_21	AC	264 ms; 5,376 KB
testcase_22	AC	251 ms; 5,376 KB
testcase_23	AC	254 ms; 5,376 KB
testcase_24	AC	254 ms; 5,376 KB
testcase_25	AC	261 ms; 5,376 KB
testcase_26	AC	255 ms; 5,376 KB
testcase_27	AC	252 ms; 5,376 KB
testcase_28	AC	252 ms; 5,376 KB
testcase_29	AC	251 ms; 5,376 KB
testcase_30	AC	257 ms; 5,376 KB
testcase_31	AC	257 ms; 5,376 KB
testcase_32	AC	438 ms; 5,376 KB
testcase_33	AC	346 ms; 5,376 KB
testcase_34	AC	253 ms; 5,376 KB
testcase_35	AC	259 ms; 5,376 KB
testcase_36	AC	256 ms; 5,376 KB
testcase_37	AC	260 ms; 5,376 KB
testcase_38	AC	255 ms; 5,376 KB
testcase_39	AC	291 ms; 5,376 KB
testcase_40	AC	447 ms; 5,376 KB
testcase_41	AC	498 ms; 5,376 KB
testcase_42	AC	480 ms; 5,376 KB
testcase_43	AC	496 ms; 5,376 KB
testcase_44	AC	479 ms; 5,376 KB
testcase_45	AC	500 ms; 5,376 KB
testcase_46	AC	424 ms; 5,376 KB
testcase_47	AC	486 ms; 5,376 KB
testcase_48	AC	448 ms; 5,376 KB
testcase_49	AC	488 ms; 5,376 KB
testcase_50	AC	494 ms; 5,376 KB
testcase_51	AC	501 ms; 5,376 KB
testcase_52	AC	492 ms; 5,376 KB
testcase_53	AC	499 ms; 5,376 KB
testcase_54	AC	469 ms; 5,376 KB
testcase_55	AC	481 ms; 5,376 KB
testcase_56	AC	504 ms; 5,376 KB
testcase_57	AC	500 ms; 5,376 KB
testcase_58	AC	501 ms; 5,376 KB
testcase_59	AC	499 ms; 5,376 KB
testcase_60	AC	2 ms; 5,376 KB
testcase_61	AC	2 ms; 5,376 KB
testcase_62	AC	2 ms; 5,376 KB
testcase_63	AC	2 ms; 5,376 KB
testcase_64	AC	435 ms; 5,376 KB
testcase_65	AC	438 ms; 5,376 KB
testcase_66	AC	2 ms; 5,376 KB
testcase_67	AC	246 ms; 5,376 KB
testcase_68	AC	443 ms; 5,376 KB
testcase_69	AC	250 ms; 5,376 KB
testcase_70	AC	486 ms; 5,376 KB

ソースコード

#line 2 "cpplib/util/template.hpp"
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("avx2")
#include<bits/stdc++.h>
using namespace std;
struct __INIT__{__INIT__(){cin.tie(0);ios::sync_with_stdio(false);cout<<fixed<<setprecision(15);}}__INIT__;
typedef long long lint;
#define INF (1LL<<60)
#define IINF (1<<30)
#define EPS (1e-10)
#define endl ('\n')
typedef vector<lint> vec;
typedef vector<vector<lint>> mat;
typedef vector<vector<vector<lint>>> mat3;
typedef vector<string> svec;
typedef vector<vector<string>> smat;
template<typename T>using V=vector<T>;
template<typename T>using VV=V<V<T>>;
template<typename T>inline void output(T t){bool f=0;for(auto i:t){cout<<(f?" ":"")<<i;f=1;}cout<<endl;}
template<typename T>inline void output2(T t){for(auto i:t)output(i);}
template<typename T>inline void debug(T t){bool f=0;for(auto i:t){cerr<<(f?" ":"")<<i;f=1;}cerr<<endl;}
template<typename T>inline void debug2(T t){for(auto i:t)output(i);}
#define loop(n) for(long long _=0;_<(long long)(n);++_)
#define rep(i,...) for(auto i:range(__VA_ARGS__)) 
#define rrep(i,...) for(auto i:reversed(range(__VA_ARGS__)))
#define repi(i,a,b) for(lint i=lint(a);i<(lint)(b);++i)
#define rrepi(i,a,b) for(lint i=lint(b)-1;i>=lint(a);--i)
#define irep(i) for(lint i=0;;++i)
inline vector<long long> range(long long n){if(n<=0)return vector<long long>();vector<long long>v(n);iota(v.begin(),v.end(),0LL);return v;}
inline vector<long long> range(long long a,long long b){if(b<=a)return vector<long long>();vector<long long>v(b-a);iota(v.begin(),v.end(),a);return v;}
inline vector<long long> range(long long a,long long b,long long c){if((b-a+c-1)/c<=0)return vector<long long>();vector<long long>v((b-a+c-1)/c);for(int i=0;i<(int)v.size();++i)v[i]=i?v[i-1]+c:a;return v;}
template<typename T>inline T reversed(T v){reverse(v.begin(),v.end());return v;}
#define all(n) begin(n),end(n)
template<typename T,typename E>bool chmin(T& s,const E& t){bool res=s>t;s=min<T>(s,t);return res;}
template<typename T,typename E>bool chmax(T& s,const E& t){bool res=s<t;s=max<T>(s,t);return res;}
const vector<lint> dx={1,0,-1,0,1,1,-1,-1};
const vector<lint> dy={0,1,0,-1,1,-1,1,-1};
#define SUM(v) accumulate(all(v),0LL)
template<typename T,typename ...Args>auto make_vector(T x,int arg,Args ...args){if constexpr(sizeof...(args)==0)return vector<T>(arg,x);else return vector(arg,make_vector<T>(x,args...));}
#define extrep(v,...) for(auto v:__MAKE_MAT__({__VA_ARGS__}))
vector<vector<long long>> __MAKE_MAT__(vector<long long> v){if(v.empty())return vector<vector<long long>>(1,vector<long long>());long long n=v.back();v.pop_back();vector<vector<long long>> ret;vector<vector<long long>> tmp=__MAKE_MAT__(v);for(auto e:tmp)for(long long i=0;i<n;++i){ret.push_back(e);ret.back().push_back(i);}return ret;}
using graph=vector<vector<int>>;
template<typename T>using graph_w=vector<vector<pair<int,T>>>;
template<typename T,typename E>ostream& operator<<(ostream& out,pair<T,E>v){out<<"("<<v.first<<","<<v.second<<")";return out;}
#line 2 "code.cpp"

int main(){
    double r,h,d;
    cin>>r>>h>>d;
    double ans=0;
    if(r*r*4-d*d==0){
        cout<<0<<endl;
        return 0;
    }
    // double w=sqrt(r*r-d*d/4);
    // double w2=d;
    int div=20000000;
    long double pre=0;
    double mx_h=h-d*h/2/r;
    for(int i=0;i<div;++i){
        // double y=w/div*i;
        // double p=h*(w2-y)/w2/sqrt(r*r-y*y)*2;
        // ans+=pow(sqrt(r*r-y*y)-d/2,2)*p*(w/div);
        double z=mx_h*i/div;
        double r2=r*(h-z)/h;
        if(r2*r2-d*d/4<0)break;
        double t=acos(d/2/r2);
        ans+=(r2*r2*t-d*sqrt(r2*r2-d*d/4)/2+pre)*(mx_h/div);
        pre=r2*r2*t-d*sqrt(r2*r2-d*d/4)/2;
    }
    cout<<ans<<endl;
}