Via http://www.shuizilong.com/house/archives/%E6%97%A5%E5%B8%B8%E6%A8%A1%E6%9D%BF-manual-ver-0-1/
Orz岛娘……
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/** Micro Mezz Macro Flation -- Overheated Economy ., Last Update: Aug. 20th 2013 **/ //{ /** Header .. **/ //{ #pragma comment(linker, "/STACK:36777216") //#pragma GCC optimize ("O2") #define LOCAL //#include "testlib.h" #include <functional> #include <algorithm> #include <iostream> #include <fstream> #include <sstream> #include <iomanip> #include <numeric> #include <cstring> #include <climits> #include <cassert> #include <complex> #include <cstdio> #include <string> #include <vector> #include <bitset> #include <queue> #include <stack> #include <cmath> #include <ctime> #include <list> #include <set> #include <map> //#include <tr1/unordered_set> //#include <tr1/unordered_map> //#include <array> using namespace std; #define REP(i, n) for (int i=0;i<int(n);++i) #define FOR(i, a, b) for (int i=int(a);i<int(b);++i) #define DWN(i, b, a) for (int i=int(b-1);i>=int(a);--i) #define REP_1(i, n) for (int i=1;i<=int(n);++i) #define FOR_1(i, a, b) for (int i=int(a);i<=int(b);++i) #define DWN_1(i, b, a) for (int i=int(b);i>=int(a);--i) #define REP_C(i, n) for (int n____=int(n),i=0;i<n____;++i) #define FOR_C(i, a, b) for (int b____=int(b),i=a;i<b____;++i) #define DWN_C(i, b, a) for (int a____=int(a),i=b-1;i>=a____;--i) #define REP_N(i, n) for (i=0;i<int(n);++i) #define FOR_N(i, a, b) for (i=int(a);i<int(b);++i) #define DWN_N(i, b, a) for (i=int(b-1);i>=int(a);--i) #define REP_1_C(i, n) for (int n____=int(n),i=1;i<=n____;++i) #define FOR_1_C(i, a, b) for (int b____=int(b),i=a;i<=b____;++i) #define DWN_1_C(i, b, a) for (int a____=int(a),i=b;i>=a____;--i) #define REP_1_N(i, n) for (i=1;i<=int(n);++i) #define FOR_1_N(i, a, b) for (i=int(a);i<=int(b);++i) #define DWN_1_N(i, b, a) for (i=int(b);i>=int(a);--i) #define REP_C_N(i, n) for (int n____=(i=0,int(n));i<n____;++i) #define FOR_C_N(i, a, b) for (int b____=(i=0,int(b);i<b____;++i) #define DWN_C_N(i, b, a) for (int a____=(i=b-1,int(a));i>=a____;--i) #define REP_1_C_N(i, n) for (int n____=(i=1,int(n));i<=n____;++i) #define FOR_1_C_N(i, a, b) for (int b____=(i=1,int(b);i<=b____;++i) #define DWN_1_C_N(i, b, a) for (int a____=(i=b,int(a));i>=a____;--i) #define ECH(it, A) for (__typeof(A.begin()) it=A.begin(); it != A.end(); ++it) #define REP_S(i, str) for (char*i=str;*i;++i) #define REP_L(i, hd, nxt) for (int i=hd;i;i=nxt[i]) #define REP_G(i, u) REP_L(i,hd[u],suc) #define REP_SS(x, s) for (int x=s;x;x=(x-1)&s) #define DO(n) for ( int ____n = n; ____n-->0; ) #define REP_2(i, j, n, m) REP(i, n) REP(j, m) #define REP_2_1(i, j, n, m) REP_1(i, n) REP_1(j, m) #define REP_3(i, j, k, n, m, l) REP(i, n) REP(j, m) REP(k, l) #define REP_3_1(i, j, k, n, m, l) REP_1(i, n) REP_1(j, m) REP_1(k, l) #define REP_4(i, j, k, ii, n, m, l, nn) REP(i, n) REP(j, m) REP(k, l) REP(ii, nn) #define REP_4_1(i, j, k, ii, n, m, l, nn) REP_1(i, n) REP_1(j, m) REP_1(k, l) REP_1(ii, nn) #define ALL(A) A.begin(), A.end() #define LLA(A) A.rbegin(), A.rend() #define CPY(A, B) memcpy(A, B, sizeof(A)) #define INS(A, P, B) A.insert(A.begin() + P, B) #define ERS(A, P) A.erase(A.begin() + P) #define BSC(A, x) (lower_bound(ALL(A), x) - A.begin()) #define CTN(T, x) (T.find(x) != T.end()) #define SZ(A) int((A).size()) #define PB push_back #define MP(A, B) make_pair(A, B) #define PTT pair<T, T> #define Ts *this #define rTs return Ts #define fi first #define se second #define re real() #define im imag() #define Rush for(int ____T=RD(); ____T--;) #define Display(A, n, m) { \ REP(i, n){ \ REP(j, m-1) cout << A[i][j] << " "; \ cout << A[i][m-1] << endl; \ } \ } #define Display_1(A, n, m) { \ REP_1(i, n){ \ REP_1(j, m-1) cout << A[i][j] << " "; \ cout << A[i][m] << endl; \ } \ } typedef long long LL; //typedef long double DB; typedef double DB; typedef unsigned UINT; typedef unsigned long long ULL; typedef vector<int> VI; typedef vector<char> VC; typedef vector<string> VS; typedef vector<LL> VL; typedef vector<DB> VF; typedef set<int> SI; typedef set<string> SS; typedef map<int, int> MII; typedef map<string, int> MSI; typedef pair<int, int> PII; typedef pair<LL, LL> PLL; typedef vector<PII> VII; typedef vector<VI> VVI; typedef vector<VII> VVII; template<class T> inline T& RD(T &); template<class T> inline void OT(const T &); //inline int RD(){int x; return RD(x);} inline LL RD(){LL x; return RD(x);} inline DB& RF(DB &); inline DB RF(){DB x; return RF(x);} inline char* RS(char *s); inline char& RC(char &c); inline char RC(); inline char& RC(char &c){scanf(" %c", &c); return c;} inline char RC(){char c; return RC(c);} //inline char& RC(char &c){c = getchar(); return c;} //inline char RC(){return getchar();} template<class T> inline T& RDD(T &); inline LL RDD(){LL x; return RDD(x);} template<class T0, class T1> inline T0& RD(T0 &x0, T1 &x1){RD(x0), RD(x1); return x0;} template<class T0, class T1, class T2> inline T0& RD(T0 &x0, T1 &x1, T2 &x2){RD(x0), RD(x1), RD(x2); return x0;} template<class T0, class T1, class T2, class T3> inline T0& RD(T0 &x0, T1 &x1, T2 &x2, T3 &x3){RD(x0), RD(x1), RD(x2), RD(x3); return x0;} template<class T0, class T1, class T2, class T3, class T4> inline T0& RD(T0 &x0, T1 &x1, T2 &x2, T3 &x3, T4 &x4){RD(x0), RD(x1), RD(x2), RD(x3), RD(x4); return x0;} template<class T0, class T1, class T2, class T3, class T4, class T5> inline T0& RD(T0 &x0, T1 &x1, T2 &x2, T3 &x3, T4 &x4, T5 &x5){RD(x0), RD(x1), RD(x2), RD(x3), RD(x4), RD(x5); return x0;} template<class T0, class T1, class T2, class T3, class T4, class T5, class T6> inline T0& RD(T0 &x0, T1 &x1, T2 &x2, T3 &x3, T4 &x4, T5 &x5, T6 &x6){RD(x0), RD(x1), RD(x2), RD(x3), RD(x4), RD(x5), RD(x6); return x0;} template<class T0, class T1> inline void OT(const T0 &x0, const T1 &x1){OT(x0), OT(x1);} template<class T0, class T1, class T2> inline void OT(const T0 &x0, const T1 &x1, const T2 &x2){OT(x0), OT(x1), OT(x2);} template<class T0, class T1, class T2, class T3> inline void OT(const T0 &x0, const T1 &x1, const T2 &x2, const T3 &x3){OT(x0), OT(x1), OT(x2), OT(x3);} template<class T0, class T1, class T2, class T3, class T4> inline void OT(const T0 &x0, const T1 &x1, const T2 &x2, const T3 &x3, const T4 &x4){OT(x0), OT(x1), OT(x2), OT(x3), OT(x4);} template<class T0, class T1, class T2, class T3, class T4, class T5> inline void OT(const T0 &x0, const T1 &x1, const T2 &x2, const T3 &x3, const T4 &x4, const T5 &x5){OT(x0), OT(x1), OT(x2), OT(x3), OT(x4), OT(x5);} template<class T0, class T1, class T2, class T3, class T4, class T5, class T6> inline void OT(const T0 &x0, const T1 &x1, const T2 &x2, const T3 &x3, const T4 &x4, const T5 &x5, const T6 &x6){OT(x0), OT(x1), OT(x2), OT(x3), OT(x4), OT(x5), OT(x6);} inline char& RC(char &a, char &b){RC(a), RC(b); return a;} inline char& RC(char &a, char &b, char &c){RC(a), RC(b), RC(c); return a;} inline char& RC(char &a, char &b, char &c, char &d){RC(a), RC(b), RC(c), RC(d); return a;} inline char& RC(char &a, char &b, char &c, char &d, char &e){RC(a), RC(b), RC(c), RC(d), RC(e); return a;} inline char& RC(char &a, char &b, char &c, char &d, char &e, char &f){RC(a), RC(b), RC(c), RC(d), RC(e), RC(f); return a;} inline char& RC(char &a, char &b, char &c, char &d, char &e, char &f, char &g){RC(a), RC(b), RC(c), RC(d), RC(e), RC(f), RC(g); return a;} inline DB& RF(DB &a, DB &b){RF(a), RF(b); return a;} inline DB& RF(DB &a, DB &b, DB &c){RF(a), RF(b), RF(c); return a;} inline DB& RF(DB &a, DB &b, DB &c, DB &d){RF(a), RF(b), RF(c), RF(d); return a;} inline DB& RF(DB &a, DB &b, DB &c, DB &d, DB &e){RF(a), RF(b), RF(c), RF(d), RF(e); return a;} inline DB& RF(DB &a, DB &b, DB &c, DB &d, DB &e, DB &f){RF(a), RF(b), RF(c), RF(d), RF(e), RF(f); return a;} inline DB& RF(DB &a, DB &b, DB &c, DB &d, DB &e, DB &f, DB &g){RF(a), RF(b), RF(c), RF(d), RF(e), RF(f), RF(g); return a;} inline void RS(char *s1, char *s2){RS(s1), RS(s2);} inline void RS(char *s1, char *s2, char *s3){RS(s1), RS(s2), RS(s3);} template<class T0,class T1>inline void RDD(T0&a, T1&b){RDD(a),RDD(b);} template<class T0,class T1,class T2>inline void RDD(T0&a, T1&b, T2&c){RDD(a),RDD(b),RDD(c);} template<class T> inline void RST(T &A){memset(A, 0, sizeof(A));} template<class T> inline void FLC(T &A, int x){memset(A, x, sizeof(A));} template<class T> inline void CLR(T &A){A.clear();} template<class T0, class T1> inline void RST(T0 &A0, T1 &A1){RST(A0), RST(A1);} template<class T0, class T1, class T2> inline void RST(T0 &A0, T1 &A1, T2 &A2){RST(A0), RST(A1), RST(A2);} template<class T0, class T1, class T2, class T3> inline void RST(T0 &A0, T1 &A1, T2 &A2, T3 &A3){RST(A0), RST(A1), RST(A2), RST(A3);} template<class T0, class T1, class T2, class T3, class T4> inline void RST(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4){RST(A0), RST(A1), RST(A2), RST(A3), RST(A4);} template<class T0, class T1, class T2, class T3, class T4, class T5> inline void RST(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4, T5 &A5){RST(A0), RST(A1), RST(A2), RST(A3), RST(A4), RST(A5);} template<class T0, class T1, class T2, class T3, class T4, class T5, class T6> inline void RST(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4, T5 &A5, T6 &A6){RST(A0), RST(A1), RST(A2), RST(A3), RST(A4), RST(A5), RST(A6);} template<class T0, class T1> inline void FLC(T0 &A0, T1 &A1, int x){FLC(A0, x), FLC(A1, x);} template<class T0, class T1, class T2> inline void FLC(T0 &A0, T1 &A1, T2 &A2, int x){FLC(A0, x), FLC(A1, x), FLC(A2, x);} template<class T0, class T1, class T2, class T3> inline void FLC(T0 &A0, T1 &A1, T2 &A2, T3 &A3, int x){FLC(A0, x), FLC(A1, x), FLC(A2, x), FLC(A3, x);} template<class T0, class T1, class T2, class T3, class T4> inline void FLC(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4, int x){FLC(A0, x), FLC(A1, x), FLC(A2, x), FLC(A3, x), FLC(A4, x);} template<class T0, class T1, class T2, class T3, class T4, class T5> inline void FLC(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4, T5 &A5, int x){FLC(A0, x), FLC(A1, x), FLC(A2, x), FLC(A3, x), FLC(A4, x), FLC(A5, x);} template<class T0, class T1, class T2, class T3, class T4, class T5, class T6> inline void FLC(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4, T5 &A5, T6 &A6, int x){FLC(A0, x), FLC(A1, x), FLC(A2, x), FLC(A3, x), FLC(A4, x), FLC(A5, x), FLC(A6, x);} template<class T> inline void CLR(priority_queue<T, vector<T>, less<T> > &Q){while (!Q.empty()) Q.pop();} template<class T> inline void CLR(priority_queue<T, vector<T>, greater<T> > &Q){while (!Q.empty()) Q.pop();} template<class T> inline void CLR(stack<T> &S){while (!S.empty()) S.pop();} template<class T0, class T1> inline void CLR(T0 &A0, T1 &A1){CLR(A0), CLR(A1);} template<class T0, class T1, class T2> inline void CLR(T0 &A0, T1 &A1, T2 &A2){CLR(A0), CLR(A1), CLR(A2);} template<class T0, class T1, class T2, class T3> inline void CLR(T0 &A0, T1 &A1, T2 &A2, T3 &A3){CLR(A0), CLR(A1), CLR(A2), CLR(A3);} template<class T0, class T1, class T2, class T3, class T4> inline void CLR(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4){CLR(A0), CLR(A1), CLR(A2), CLR(A3), CLR(A4);} template<class T0, class T1, class T2, class T3, class T4, class T5> inline void CLR(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4, T5 &A5){CLR(A0), CLR(A1), CLR(A2), CLR(A3), CLR(A4), CLR(A5);} template<class T0, class T1, class T2, class T3, class T4, class T5, class T6> inline void CLR(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4, T5 &A5, T6 &A6){CLR(A0), CLR(A1), CLR(A2), CLR(A3), CLR(A4), CLR(A5), CLR(A6);} template<class T> inline void CLR(T &A, int n){REP(i, n) CLR(A[i]);} template<class T> inline bool EPT(T &a){return a.empty();} template<class T> inline T& SRT(T &A){sort(ALL(A)); return A;} template<class T, class C> inline T& SRT(T &A, C B){sort(ALL(A), B); return A;} template<class T> inline T& RVS(T &A){reverse(ALL(A)); return A;} template<class T> inline T& UNQQ(T &A){A.resize(unique(ALL(A))-A.begin());return A;} template<class T> inline T& UNQ(T &A){SRT(A);return UNQQ(A);} //} /** Constant List .. **/ //{ const int MOD = int(1e9) + 7; //int MOD = 99990001; const int INF = 0x3f3f3f3f; const LL INFF = 0x3f3f3f3f3f3f3f3fLL; const DB EPS = 1e-12; const DB OO = 1e20; const DB PI = acos(-1.0); //M_PI; const int dx[] = {-1, 0, 1, 0}; const int dy[] = {0, 1, 0, -1}; //} /** Add On .. **/ //{ // <<= '0. Nichi Joo ., //{ template<class T> inline void checkMin(T &a,const T b){if (b<a) a=b;} template<class T> inline void checkMax(T &a,const T b){if (a<b) a=b;} template<class T> inline void checkMin(T &a, T &b, const T x){checkMin(a, x), checkMin(b, x);} template<class T> inline void checkMax(T &a, T &b, const T x){checkMax(a, x), checkMax(b, x);} template <class T, class C> inline void checkMin(T& a, const T b, C c){if (c(b,a)) a = b;} template <class T, class C> inline void checkMax(T& a, const T b, C c){if (c(a,b)) a = b;} template<class T> inline T min(T a, T b, T c){return min(min(a, b), c);} template<class T> inline T max(T a, T b, T c){return max(max(a, b), c);} template<class T> inline T min(T a, T b, T c, T d){return min(min(a, b), min(c, d));} template<class T> inline T max(T a, T b, T c, T d){return max(max(a, b), max(c, d));} template<class T> inline T sqr(T a){return a*a;} template<class T> inline T cub(T a){return a*a*a;} template<class T> inline T ceil(T x, T y){return (x - 1) / y + 1;} inline int sgn(DB x){return x < -EPS ? -1 : x > EPS;} inline int sgn(DB x, DB y){return sgn(x - y);} inline DB cos(DB a, DB b, DB c){return (sqr(a)+sqr(b)-sqr(c))/(2*a*b);} inline DB cot(DB x){return 1./tan(x);}; inline DB sec(DB x){return 1./cos(x);}; inline DB csc(DB x){return 1./sin(x);}; //} // <<= '1. Bitwise Operation ., //{ namespace BO{ inline bool _1(int x, int i){return bool(x&1<<i);} inline bool _1(LL x, int i){return bool(x&1LL<<i);} inline LL _1(int i){return 1LL<<i;} inline LL _U(int i){return _1(i) - 1;}; inline int reverse_bits(int x){ x = ((x >> 1) & 0x55555555) | ((x << 1) & 0xaaaaaaaa); x = ((x >> 2) & 0x33333333) | ((x << 2) & 0xcccccccc); x = ((x >> 4) & 0x0f0f0f0f) | ((x << 4) & 0xf0f0f0f0); x = ((x >> 8) & 0x00ff00ff) | ((x << 8) & 0xff00ff00); x = ((x >>16) & 0x0000ffff) | ((x <<16) & 0xffff0000); return x; } inline LL reverse_bits(LL x){ x = ((x >> 1) & 0x5555555555555555LL) | ((x << 1) & 0xaaaaaaaaaaaaaaaaLL); x = ((x >> 2) & 0x3333333333333333LL) | ((x << 2) & 0xccccccccccccccccLL); x = ((x >> 4) & 0x0f0f0f0f0f0f0f0fLL) | ((x << 4) & 0xf0f0f0f0f0f0f0f0LL); x = ((x >> 8) & 0x00ff00ff00ff00ffLL) | ((x << 8) & 0xff00ff00ff00ff00LL); x = ((x >>16) & 0x0000ffff0000ffffLL) | ((x <<16) & 0xffff0000ffff0000LL); x = ((x >>32) & 0x00000000ffffffffLL) | ((x <<32) & 0xffffffff00000000LL); return x; } template<class T> inline bool odd(T x){return x&1;} template<class T> inline bool even(T x){return !odd(x);} template<class T> inline T low_bit(T x) {return x & -x;} template<class T> inline T high_bit(T x) {T p = low_bit(x);while (p != x) x -= p, p = low_bit(x);return p;} template<class T> inline T cover_bit(T x){T p = 1; while (p < x) p <<= 1;return p;} template<class T> inline int cover_idx(T x){int p = 0; while (_1(p) < x ) ++p; return p;} inline int clz(int x){return __builtin_clz(x);} inline int clz(LL x){return __builtin_clzll(x);} inline int ctz(int x){return __builtin_ctz(x);} inline int ctz(LL x){return __builtin_ctzll(x);} inline int lg2(int x){return !x ? -1 : 31 - clz(x);} inline int lg2(LL x){return !x ? -1 : 63 - clz(x);} inline int low_idx(int x){return !x ? -1 : ctz(x);} inline int low_idx(LL x){return !x ? -1 : ctz(x);} inline int high_idx(int x){return lg2(x);} inline int high_idx(LL x){return lg2(x);} inline int parity(int x){return __builtin_parity(x);} inline int parity(LL x){return __builtin_parityll(x);} inline int count_bits(int x){return __builtin_popcount(x);} inline int count_bits(LL x){return __builtin_popcountll(x);} } using namespace BO;//} // <<= '9. Comutational Geometry .,//{ namespace CG{ #define cPo const Po& #define cLine const Line& #define cSeg const Seg& inline DB dist2(DB x,DB y){return sqr(x)+sqr(y);} struct Po{ DB x,y;Po(DB x=0,DB y=0):x(x),y(y){} void in(){RF(x,y);}void out(){printf("(%.2f,%.2f)",x,y);} inline friend istream&operator>>(istream&i,Po&p){return i>>p.x>>p.y;} inline friend ostream&operator<<(ostream&o,Po p){return o<<"("<<p.x<<", "<<p.y<< ")";} Po operator-()const{return Po(-x,-y);} Po&operator+=(cPo p){x+=p.x,y+=p.y;rTs;}Po&operator-=(cPo p){x-=p.x,y-=p.y;rTs;} Po&operator*=(DB k){x*=k,y*=k;rTs;}Po&operator/=(DB k){x/=k,y/=k;rTs;} Po&operator*=(cPo p){rTs=Ts*p;}Po&operator/=(cPo p){rTs=Ts/p;} Po operator+(cPo p)const{return Po(x+p.x,y+p.y);}Po operator-(cPo p)const{return Po(x-p.x,y-p.y);} Po operator*(DB k)const{return Po(x*k,y*k);}Po operator/(DB k)const{return Po(x/k,y/k);} Po operator*(cPo p)const{return Po(x*p.x-y*p.y,y*p.x+x*p.y);}Po operator/(cPo p)const{return Po(x*p.x+y*p.y,y*p.x-x*p.y)/p.len2();} bool operator==(cPo p)const{return!sgn(x,p.x)&&!sgn(y,p.y);};bool operator!=(cPo p)const{return sgn(x,p.x)||sgn(y,p.y);} bool operator<(cPo p)const{return sgn(x,p.x)<0||!sgn(x,p.x)&&sgn(y,p.y)<0;}bool operator<=(cPo p)const{return sgn(x,p.x)<0||!sgn(x,p.x)&&sgn(y,p.y)<=0;} bool operator>(cPo p)const{return!(Ts<=p);}bool operator >=(cPo p)const{return!(Ts<p);} DB len2()const{return dist2(x,y);}DB len()const{return sqrt(len2());}DB arg()const{return atan2(y,x);} Po&_1(){rTs/=len();}Po&conj(){y=-y;rTs;}Po<(){swap(x,y),x=-x;rTs;}Po&rt(){swap(x,y),y=-y;rTs;} Po&rot(DB a,cPo o=Po()){Ts-=o;Ts*=Po(cos(a),sin(a));rTs+=o;} }; inline DB dot(DB x1,DB y1,DB x2,DB y2){return x1*x2+y1*y2;} inline DB dot(cPo a,cPo b){return dot(a.x,a.y,b.x,b.y);} inline DB dot(cPo p0,cPo p1,cPo p2){return dot(p1-p0,p2-p0);} inline DB det(DB x1,DB y1,DB x2,DB y2){return x1*y2-x2*y1;} inline DB det(cPo a,cPo b){return det(a.x,a.y,b.x,b.y);} inline DB det(cPo p0,cPo p1,cPo p2){return det(p1-p0,p2-p0);} inline DB ang(cPo p0,cPo p1){return acos(dot(p0,p1)/p0.len()/p1.len());} inline DB ang(cPo p0,cPo p1,cPo p2){return ang(p1-p0,p2-p0);} inline DB ang(cPo p0,cPo p1,cPo p2,cPo p3){return ang(p1-p0,p3-p2);} inline DB dist2(const Po &a, const Po &b){return dist2(a.x-b.x, a.y-b.y);} template<class T1, class T2> inline int dett(const T1 &x, const T2 &y){return sgn(det(x, y));} template<class T1, class T2, class T3> inline int dett(const T1 &x, const T2 &y, const T3 &z){return sgn(det(x, y, z));} template<class T1, class T2, class T3, class T4> inline int dett(const T1 &x, const T2 &y, const T3 &z, const T4 &w){return sgn(det(x, y, z, w));} template<class T1, class T2> inline int dott(const T1 &x, const T2 &y){return sgn(dot(x, y));} template<class T1, class T2, class T3> inline int dott(const T1 &x, const T2 &y, const T3 &z){return sgn(dot(x, y, z));} template<class T1, class T2, class T3, class T4> inline int dott(const T1 &x, const T2 &y, const T3 &z, const T4 &w){return sgn(dot(x, y, z, w));} template<class T1, class T2> inline DB arg(const T1 &x, const T2 &y){DB a=ang(x,y);return~dett(x,y)?a:2*PI-a;} template<class T1, class T2, class T3> inline DB arg(const T1 &x, const T2 &y, const T3 &z){DB a=ang(x,y,z);return~dett(x,y,z)?a:2*PI-a;} template<class T1, class T2, class T3, class T4> inline DB arg(const T1 &x, const T2 &y, const T3 &z, const T4 &w){DB a=ang(x,y,z,w);return~dett(x,y,z,w)?a:2*PI-a;} template<class T1, class T2> inline DB dist(const T1 &x, const T2 &y){return sqrt(dist2(x, y));} template<class T1, class T2, class T3> inline DB dist(const T1 &x, const T2 &y, const T3 &z){return sqrt(dist2(x, y, z));} inline Po _1(Po p){return p._1();}inline Po conj(Po p){return p.conj();} inline Po lt(Po p){return p.lt();}inline Po rt(Po p){return p.rt();} inline Po rot(Po p,DB a,cPo o=Po()){return p.rot(a,o);} inline Po operator *(DB k,cPo p){return p*k;} inline Po operator /(DB k,cPo p){return conj(p)*k/p.len2();} typedef vector<Po> VP; struct Line{ Po a,b;Line(cPo a=Po(),cPo b=Po()):a(a),b(b){} Line(DB x0,DB y0,DB x1,DB y1):a(Po(x0,y0)),b(Po(x1,y1)){} Line(cLine l):a(l.a),b(l.b){} //Ax+By+C=0 Line(DB A,DB B,DB C){ C=-C;if(!::sgn(A))a=Po(0,C/B),b=Po(1,C/B); else if(!::sgn(B))a=Po(C/A,0),b=Po(C/A,1); else a=Po(0,C/B),b=Po(1,(C-A)/B); } void in(){a.in(),b.in();} inline friend istream&operator>>(istream&i,Line& p){return i>>p.a>>p.b;} inline friend ostream&operator<<(ostream&o,Line p){return o<<p.a<<"-"<< p.b;} Line operator+(cPo x)const{return Line(a+x,b+x);} Line operator-(cPo x)const{return Line(a-x,b-x);} Line operator*(DB k)const{return Line(a*k,b*k);} Line operator/(DB k)const{return Line(a/k,b/k);} Po operator*(cLine)const; Po d()const{return b-a;}DB len2()const{return d().len2();}DB len()const{return d().len();}DB arg()const{return d().arg();} int sgn(cPo p)const{return dett(a, b, p);} int sgn(cLine)const; bool sameSgn(cPo p1,cPo p2)const{return sgn(p1)==sgn(p2);} void getEquation(DB&K,DB&B)const{ K = ::sgn(a.x, b.x) ? (b.y-a.y)/(b.x-a.x) : OO; B = a.y - K*a.x; } void getEquation(DB&A,DB&B,DB&C)const{A=a.y-b.y,B=b.x-a.x,C=det(a, b);} Line&push(DB r){ // 正数右手螺旋向里 Po v=d()._1().lt()*r;a+=v,b+=v; rTs; } }; inline DB dot(cLine l1,cLine l2){return dot(l1.d(),l2.d());} inline DB dot(cLine l,cPo p){return dot(l.a,l.b,p);} inline DB dot(cPo p,cLine l){return dot(p,l.a,l.b);} inline DB det(cLine l1,cLine l2){return det(l1.d(),l2.d());} inline DB det(cLine l,cPo p){return det(l.a,l.b,p);} inline DB det(cPo p,cLine l){return det(p,l.a,l.b);} inline DB ang(cLine l0,cLine l1){return ang(l0.d(),l1.d());} inline DB ang(cLine l,cPo p){return ang(l.a,l.b,p);} inline DB ang(cPo p,cLine l){return ang(p,l.a,l.b);} inline int Line::sgn(cLine l)const{return dett(Ts, l);} inline Po Line::operator*(cLine l)const{return a+d()*det(a,l)/det(Ts,l);} inline Po operator&(cPo p,cLine l){return l*Line(p,p+l.d().lt());} inline Po operator%(cPo p,cLine l){return p&l*2-p;} inline Line push(Line l, DB r){return l.push(r);} struct Seg: public Line{ Seg(cPo a=Po(),cPo b=Po()):Line(a,b){} Seg(DB x0,DB y0,DB x1,DB y1):Line(x0,y0,x1,y1){} Seg(cLine l):Line(l){} Seg(const Po &a,DB alpha):Line(a,alpha){} Seg(DB A,DB B,DB C):Line(A,B,C){} inline int sgn(cPo p)const; inline bool qrt(cSeg l)const; inline int sgn(cSeg l)const; }; // -1不相交 0相交（不规范） 1相交（规范） inline int Seg::sgn(cPo p)const{return -dott(p,a,b);} // quick_rejection_test inline bool Seg::qrt(cSeg l)const{ return min(a.x,b.x)<=max(l.a.x,l.b.x)&&min(l.a.x,l.b.x)<=max(a.x,b.x)&& min(a.y,b.y)<=max(l.a.y,l.b.y)&&min(l.a.y,l.b.y)<=max(a.y,b.y); } inline int Seg::sgn(cSeg l)const{ if (!qrt(l)) return -1; /*return (dett(a,b,l.a)*dett(a,b,l.b)<=0 && dett(l.a,l.b,a)*dett(l.a,l.b,b)<=0)?1:-1;*/ int d1=dett(a,b,l.a),d2=dett(a,b,l.b),d3=dett(l.a,l.b,a),d4=dett(l.a,l.b,b); if ((d1^d2)==-2&&(d3^d4)==-2)return 1; return ((!d1&&dott(l.a-a,l.a-b)<=0)||(!d2&&dott(l.b-a,l.b-b)<=0)|| (!d3&&dott(a-l.a,a-l.b)<=0)||(!d4&&dott(b-l.a,b-l.b)<=0))?0:-1; } //inline DB dist2(cLine l,cPo p){return sqr(fabs(dot(lt(l.d()), p-l.a)))/l.len2();} inline DB dist2(cLine l,cPo p){return sqr(fabs(det(l.d(), p-l.a)))/l.len2();} inline DB dist2(cLine l1,cLine l2){return dett(l1,l2)?0:dist2(l1,l2.a);} inline DB dist2(cSeg l,cPo p){ Po pa = p - l.a, pb = p - l.b; if (dott(l.d(), pa) <= 0) return pa.len2(); if (dott(l.d(), pb) >= 0) return pb.len2(); return dist2(Line(l), p); } inline DB dist2(cSeg s,cLine l){ Po v1=s.a-l.a,v2=s.b-l.a;DB d1=det(l.d(),v1),d2=det(l.d(),v2); return sgn(d1)!=sgn(d2) ? 0 : sqr(min(fabs(d1), fabs(d2)))/l.len2(); } inline DB dist2(cSeg l1,cSeg l2){ if (~l1.sgn(l2)) return 0; else return min(dist2(l2,l1.a), dist2(l2,l1.b), dist2(l1,l2.a), dist2(l1,l2.b)); } template<class T1, class T2> inline DB dist2(const T1& a, const T2& b){ return dist2(b, a); } } using namespace CG;//} //} /** I/O Accelerator Interface .. **/ //{ #define g (c=getchar()) #define d isdigit(g) #define p x=x*10+c-'0' #define n x=x*10+'0'-c #define pp l/=10,p #define nn l/=10,n template<class T> inline T& RD(T &x){ char c;while(!d);x=c-'0';while(d)p; return x; } template<class T> inline T& RDD(T &x){ char c;while(g,c!='-'&&!isdigit(c)); if (c=='-'){x='0'-g;while(d)n;} else{x=c-'0';while(d)p;} return x; } inline DB& RF(DB &x){ //scanf("%lf", &x); char c;while(g,c!='-'&&c!='.'&&!isdigit(c)); if(c=='-')if(g=='.'){x=0;DB l=1;while(d)nn;x*=l;} else{x='0'-c;while(d)n;if(c=='.'){DB l=1;while(d)nn;x*=l;}} else if(c=='.'){x=0;DB l=1;while(d)pp;x*=l;} else{x=c-'0';while(d)p;if(c=='.'){DB l=1;while(d)pp;x*=l;}} return x; } #undef nn #undef pp #undef n #undef p #undef d #undef g inline char* RS(char *s){ //gets(s); scanf("%s", s); return s; } LL last_ans; int Case; template<class T> inline void OT(const T &x){ //printf("Case %d: ", ++Case); //printf("%lld\n", x); //printf("%.4f\n", x); printf("%d\n", x); //cout << x << endl; //last_ans = x; } //} //}/* .................................................................................................................................. */ |
