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/** Micro Mezz Macro Flation -- Overheated Economy ., Last Update: May. 7th 2014 **/ //{ | |
/** 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<n;++i) | |
#define FOR(i, a, b) for (int i=a;i<b;++i) | |
#define DWN(i, b, a) for (int i=b-1;i>=a;--i) | |
#define REP_1(i, n) for (int i=1;i<=n;++i) | |
#define FOR_1(i, a, b) for (int i=a;i<=b;++i) | |
#define DWN_1(i, b, a) for (int i=b;i>=a;--i) | |
#define REP_C(i, n) for (int n____=n,i=0;i<n____;++i) | |
#define FOR_C(i, a, b) for (int b____=b,i=a;i<b____;++i) | |
#define DWN_C(i, b, a) for (int a____=a,i=b-1;i>=a____;--i) | |
#define REP_N(i, n) for (i=0;i<n;++i) | |
#define FOR_N(i, a, b) for (i=a;i<b;++i) | |
#define DWN_N(i, b, a) for (i=b-1;i>=a;--i) | |
#define REP_1_C(i, n) for (int n____=n,i=1;i<=n____;++i) | |
#define FOR_1_C(i, a, b) for (int b____=b,i=a;i<=b____;++i) | |
#define DWN_1_C(i, b, a) for (int a____=a,i=b;i>=a____;--i) | |
#define REP_1_N(i, n) for (i=1;i<=n;++i) | |
#define FOR_1_N(i, a, b) for (i=a;i<=b;++i) | |
#define DWN_1_N(i, b, a) for (i=b;i>=a;--i) | |
#define REP_C_N(i, n) for (int n____=(i=0,n);i<n____;++i) | |
#define FOR_C_N(i, a, b) for (int b____=(i=0,b);i<b____;++i) | |
#define DWN_C_N(i, b, a) for (int a____=(i=b-1,a);i>=a____;--i) | |
#define REP_1_C_N(i, n) for (int n____=(i=1,n);i<=n____;++i) | |
#define FOR_1_C_N(i, a, b) for (int b____=(i=a,b);i<=b____;++i) | |
#define DWN_1_C_N(i, b, a) for (int a____=(i=b,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, suc) for (int i=hd;i;i=suc[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 LBD(A, x) (lower_bound(ALL(A), x) - A.begin()) | |
#define UBD(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) + 9; | |
const int INF = 0x3f3f3f3f; | |
const LL INFF = 0x3f3f3f3f3f3f3f3fLL; | |
const DB EPS = 1e-9; | |
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 T& checkMin(T &a,const T b){if (b<a) a=b;return a;} | |
template<class T> inline T& checkMax(T &a,const T b){if (a<b) a=b;return a;} | |
template<class T> inline T& checkMin(T &a, T &b, const T x){checkMin(a, x), checkMin(b, x);return a;} | |
template<class T> inline T& checkMax(T &a, T &b, const T x){checkMax(a, x), checkMax(b, x);return a;} | |
template <class T, class C> inline T& checkMin(T& a, const T b, C c){if (c(b,a)) a = b;return a;} | |
template <class T, class C> inline T& checkMax(T& a, const T b, C c){if (c(a,b)) a = b;return a;} | |
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 min(T a, T b, T c, T d, T e){return min(min(min(a,b),min(c,d)),e);} | |
template<class T> inline T max(T a, T b, T c, T d, T e){return max(max(max(a,b),max(c,d)),e);} | |
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;} | |
template<class T> T abs(T x){return x>0?x:-x;} | |
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;//} | |
// <<= '2. Number Theory .,//{ | |
namespace NT{ | |
inline LL gcd(LL a, LL b){return __gcd(a, b);} | |
inline LL lcm(LL a, LL b){return a*b/gcd(a,b);} | |
inline void INC(int &a, int b){a += b; if (a >= MOD) a -= MOD;} | |
inline int sum(int a, int b){a += b; if (a >= MOD) a -= MOD; return a;} | |
inline void DEC(int &a, int b){a -= b; if (a < 0) a += MOD;} | |
inline int dff(int a, int b){a -= b; if (a < 0) a += MOD; return a;} | |
inline void MUL(int &a, int b){a = (LL)a * b % MOD;} | |
inline int pdt(int a, int b){return (LL)a * b % MOD;} | |
inline int gcd(int m, int n, int &x, int &y){ | |
x = 1, y = 0; int xx = 0, yy = 1, q; | |
while (1){ | |
q = m / n, m %= n; | |
if (!m){x = xx, y = yy; return n;} | |
DEC(x, pdt(q, xx)), DEC(y, pdt(q, yy)); | |
q = n / m, n %= m; | |
if (!n) return m; | |
DEC(xx, pdt(q, x)), DEC(yy, pdt(q, y)); | |
} | |
} | |
inline int sum(int a, int b, int c){return sum(a, sum(b, c));} | |
inline int sum(int a, int b, int c, int d){return sum(sum(a, b), sum(c, d));} | |
inline int pdt(int a, int b, int c){return pdt(a, pdt(b, c));} | |
inline int pdt(int a, int b, int c, int d){return pdt(pdt(a, b), pdt(c, d));} | |
inline int pow(int a, LL b){ | |
int c(1); while (b){ | |
if (b&1) MUL(c, a); | |
MUL(a, a), b >>= 1; | |
} | |
return c; | |
} | |
template<class T> inline T pow(T a, LL b){ | |
T c(1); while (b){ | |
if (b&1) c *= a; | |
a *= a, b >>= 1; | |
} | |
return c; | |
} | |
template<class T> inline T pow(T a, int b){ | |
return pow(a, (LL)b); | |
} | |
inline int _I(int b){ | |
int a = MOD, x1 = 0, x2 = 1, q; | |
while (true){ | |
q = a / b, a %= b; | |
if (!a) return (x2 + MOD) % MOD; | |
DEC(x1, pdt(q, x2)); | |
q = b / a, b %= a; | |
if (!b) return (x1 + MOD) % MOD; | |
DEC(x2, pdt(q, x1)); | |
} | |
} | |
inline void DIV(int &a, int b){MUL(a, _I(b));} | |
inline int qtt(int a, int b){return pdt(a, _I(b));} | |
struct Int{ | |
int val; | |
operator int() const{return val;} | |
Int(int val = 0):val(val){ | |
val %= MOD; if (val < 0) val += MOD; | |
} | |
Int(LL _val){ | |
_val %= MOD; if (_val < 0) _val += MOD; | |
val = _val; | |
} | |
Int& operator +=(const int& rhs){ | |
INC(val, rhs); | |
return *this; | |
} | |
Int operator +(const int& rhs) const{ | |
return sum(val, rhs); | |
} | |
Int& operator -=(const int& rhs){ | |
DEC(val, rhs); | |
return *this; | |
} | |
Int operator -(const int& rhs) const{ | |
return dff(val, rhs); | |
} | |
Int& operator *=(const int& rhs){ | |
MUL(val, rhs); | |
return *this; | |
} | |
Int operator *(const int& rhs) const{ | |
return pdt(val, rhs); | |
} | |
Int& operator /=(const int& rhs){ | |
DIV(val, rhs); | |
return *this; | |
} | |
Int operator /(const int& rhs) const{ | |
return qtt(val, rhs); | |
} | |
Int operator-()const{ | |
return MOD-*this; | |
} | |
}; | |
/* | |
Int Fact[N], Factt[N]; Int Binom(int n, int m){ | |
return Fact[n] * Factt[m] * Factt[n-m]; | |
} | |
*/ | |
/* | |
Fact[0] = 1; REP_1(i, N-1) Fact[i] = Fact[i-1] * i; | |
Factt[N-1] = _I(Fact[N-1]); DWN(i, N, 1) Factt[i-1] = Factt[i] * i; | |
*/ | |
/* | |
int Binom[N][N]; | |
REP(i, N){Binom[i][0] = 1; REP_1(j, i) Binom[i][j] = Binom[i-1][j-1] + Binom[i-1][j];} | |
*/ | |
/* | |
const int PMAX = 1; | |
VI P; bitset<PMAX> isP; | |
void sieve(){ | |
FOR(i, 2, PMAX){ | |
if (!isP[i]) P.PB(i); | |
for (int j=0;j<SZ(P)&&i*P[j]<PMAX;++j){ | |
isP[i*P[j]]=1; if (!(i%P[j])) break; | |
} | |
} | |
} | |
*/ | |
/* | |
inline int phi(int n){ | |
int res = n; for (int i=2;sqr(i)<=n;++i) if (!(n%i)){ | |
DEC(res, qtt(res, i)); | |
do{n /= i;} while(!(n%i)); | |
} | |
if (n != 1) | |
DEC(res, qtt(res, n)); | |
return res; | |
} | |
*/ | |
/*LL d, x, y; void exGcd(LL a, LL b){ | |
if(!b) x = 1, y = 0, d = a; | |
else{ | |
exGcd(b, a%b); LL t = y; | |
y = x - (a/b)*y, x = t; | |
} | |
}*/ | |
} using namespace NT;//} | |
//} | |
/** 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("%.9f\n", x); | |
printf("%d\n", x); | |
//cout << x << endl; | |
//last_ans = x; | |
} | |
//} | |
//}/* .................................................................................................................................. */ | |
const int N = 109, M = 9; | |
map<PII, Int> dp[2]; int _b[5], b[5], p, q; | |
void decode(int x){ | |
REP(i, 4) b[i] = x%4, x/=4; | |
} | |
int encode(){ | |
int x = 0; DWN(i, 4, 0) x*=4,x+=b[i]; | |
return x; | |
} | |
void recode(){ | |
MII H; int n = 0; FOR(i, 1, 5){ | |
if (!CTN(H, _b[i])) H[_b[i]] = n++; | |
b[i-1] = H[_b[i]]; | |
} | |
} | |
class SimilarSequencesAnother { | |
public: | |
int getCount(int n, int m){ | |
p = 0, q = 1; RST(b); CLR(dp[p]); dp[p][MP(1, encode())] = m; | |
b[3] = 1; dp[p][MP(1, encode())] = Int(m)*(m-1); | |
#define u (it->se) | |
#define v dp[p][MP(ss, encode())] | |
DO(n){ | |
swap(p, q); CLR(dp[p]); ECH(it, dp[q]) if (u){ | |
int s = it->fi.fi; decode(it->fi.se); CPY(_b, b); int up1 = *max_element(b, b+4)+1; FOR_1_C_N(_b[4], 0, up1){ | |
Int c1 = _b[4] == up1 ? m-up1 : 1; recode(); | |
int up2 = max(_b[4]+1, up1); FOR_1(a, 0, up2){ | |
Int c2 = a == up2 ? m-up2 : 1; int ss = 0; REP(i, 9) if (_1(s, i)){ | |
int x = i%3, y = i/3; REP(dx, 2) REP(dy, 3){ | |
int xx = x+dx, yy = y+dy; if (xx > 2 || yy > 2) continue; | |
if (dx || a == _b[2-xx+yy]) ss |= _1(yy*3+xx); | |
} | |
} | |
if (ss) v += u*c1*c2; | |
} | |
} | |
} | |
} | |
Int res = 0; ECH(it, dp[p]){ | |
decode(it->fi.se); if (!b[2] && !b[3]) res += u; | |
} | |
return res; | |
} | |
}; | |
// BEGIN CUT HERE | |
namespace moj_harness { | |
int run_test_case(int); | |
void run_test(int casenum = -1, bool quiet = false) { | |
if (casenum != -1) { | |
if (run_test_case(casenum) == -1 && !quiet) { | |
cerr << "Illegal input! Test case " << casenum << " does not exist." << endl; | |
} | |
return; | |
} | |
int correct = 0, total = 0; | |
for (int i=0;; ++i) { | |
int x = run_test_case(i); | |
if (x == -1) { | |
if (i >= 100) break; | |
continue; | |
} | |
correct += x; | |
++total; | |
} | |
if (total == 0) { | |
cerr << "No test cases run." << endl; | |
} else if (correct < total) { | |
cerr << "Some cases FAILED (passed " << correct << " of " << total << ")." << endl; | |
} else { | |
cerr << "All " << total << " tests passed!" << endl; | |
} | |
} | |
int verify_case(int casenum, const int &expected, const int &received, clock_t elapsed) { | |
cerr << "Example " << casenum << "... "; | |
string verdict; | |
vector<string> info; | |
char buf[100]; | |
if (elapsed > CLOCKS_PER_SEC / 200) { | |
sprintf(buf, "time %.2fs", elapsed * (1.0/CLOCKS_PER_SEC)); | |
info.push_back(buf); | |
} | |
if (expected == received) { | |
verdict = "PASSED"; | |
} else { | |
verdict = "FAILED"; | |
} | |
cerr << verdict; | |
if (!info.empty()) { | |
cerr << " ("; | |
for (int i=0; i<(int)info.size(); ++i) { | |
if (i > 0) cerr << ", "; | |
cerr << info[i]; | |
} | |
cerr << ")"; | |
} | |
cerr << endl; | |
if (verdict == "FAILED") { | |
cerr << " Expected: " << expected << endl; | |
cerr << " Received: " << received << endl; | |
} | |
return verdict == "PASSED"; | |
} | |
int run_test_case(int casenum) { | |
switch (casenum) { | |
case 0: { | |
int N = 2; | |
int bound = 10; | |
int expected__ = 10000; | |
clock_t start__ = clock(); | |
int received__ = SimilarSequencesAnother().getCount(N, bound); | |
return verify_case(casenum, expected__, received__, clock()-start__); | |
} | |
case 1: { | |
int N = 3; | |
int bound = 3; | |
int expected__ = 687; | |
clock_t start__ = clock(); | |
int received__ = SimilarSequencesAnother().getCount(N, bound); | |
return verify_case(casenum, expected__, received__, clock()-start__); | |
} | |
case 2: { | |
int N = 8; | |
int bound = 1; | |
int expected__ = 1; | |
clock_t start__ = clock(); | |
int received__ = SimilarSequencesAnother().getCount(N, bound); | |
return verify_case(casenum, expected__, received__, clock()-start__); | |
} | |
case 3: { | |
int N = 100; | |
int bound = 123456789; | |
int expected__ = 439681851; | |
clock_t start__ = clock(); | |
int received__ = SimilarSequencesAnother().getCount(N, bound); | |
return verify_case(casenum, expected__, received__, clock()-start__); | |
} | |
case 4: { | |
int N = 1; | |
int bound = 1000000000; | |
int expected__ = 81; | |
clock_t start__ = clock(); | |
int received__ = SimilarSequencesAnother().getCount(N, bound); | |
return verify_case(casenum, expected__, received__, clock()-start__); | |
} | |
// custom cases | |
/* case 5: { | |
int N = ; | |
int bound = ; | |
int expected__ = ; | |
clock_t start__ = clock(); | |
int received__ = SimilarSequencesAnother().getCount(N, bound); | |
return verify_case(casenum, expected__, received__, clock()-start__); | |
}*/ | |
/* case 6: { | |
int N = ; | |
int bound = ; | |
int expected__ = ; | |
clock_t start__ = clock(); | |
int received__ = SimilarSequencesAnother().getCount(N, bound); | |
return verify_case(casenum, expected__, received__, clock()-start__); | |
}*/ | |
/* case 7: { | |
int N = ; | |
int bound = ; | |
int expected__ = ; | |
clock_t start__ = clock(); | |
int received__ = SimilarSequencesAnother().getCount(N, bound); | |
return verify_case(casenum, expected__, received__, clock()-start__); | |
}*/ | |
default: | |
return -1; | |
} | |
} | |
} | |
int main(int argc, char *argv[]) { | |
if (argc == 1) { | |
moj_harness::run_test(); | |
} else { | |
for (int i=1; i<argc; ++i) | |
moj_harness::run_test(atoi(argv[i])); | |
} | |
} | |
// END CUT HERE |
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#include <iostream> | |
#include <cstdio> | |
#include <cstring> | |
#include <ctime> | |
#include <cmath> | |
#include <algorithm> | |
#include <sstream> | |
#include <string> | |
#include <vector> | |
#include <map> | |
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 ECH(it, A) for (__typeof(A.begin()) it=A.begin(); it != A.end(); ++it) | |
#define REP_2(i, j, n, m) REP(i, n) REP(j, m) | |
#define ALL(A) A.begin(), A.end() | |
#define CLR(A) A.clear() | |
#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 SRT(A) sort(ALL(A)) | |
#define SZ(A) int(A.size()) | |
#define PB push_back | |
#define MP(A, B) make_pair(A, B) | |
typedef long long LL; | |
typedef double DB; | |
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 T0, class T1> inline void FLC(T0 &A0, T1 &A1, int x){FLC(A0, x), FLC(A1, x);} | |
template<class T> inline void checkMin(T &a, T b){if (b<a) a=b;} | |
template<class T> inline void checkMax(T &a, T b){if (b>a) a=b;} | |
const int MOD = 1000000007; | |
const int INF = 0x3f3f3f3f; | |
// --- | |
const int N = 31, M = 31; | |
int n, m; | |
namespace KM{ // KM-最优匹配 | |
typedef int weight_t; | |
const weight_t weight_MAX = INF; | |
const weight_t weight_MIN = -INF; | |
weight_t W[N][N], lx[N], ly[M], slack[M]; | |
int px[N], py[M]; bool vx[N], vy[M]; | |
int n; | |
#define w(x, y) (lx[x] + ly[y] - W[x][y]) | |
bool dfs(int x){ | |
vx[x] = 1; REP(y, m) if (!vy[y]){ | |
if (!w(x, y)){ //! | |
vy[y] = 1; if (py[y] == -1 || dfs(py[y])){ | |
py[y] = x, px[x] = y; | |
return 1; | |
} | |
} | |
else { | |
checkMin(slack[y], w(x, y)); | |
} | |
} | |
return 0; | |
} | |
weight_t run(){ | |
if (n > m) return INF; | |
FLC(px, py, -1), fill(lx, lx + n, weight_MIN), fill(ly, ly + m, 0); | |
REP_2(x, y, n, m) checkMax(lx[x], W[x][y]); | |
REP(x, n){ | |
fill(slack, slack + m, weight_MAX); while (1){ | |
fill(vx, vx + n, 0), fill(vy, vy + m, 0); | |
if (dfs(x)) break; weight_t d = weight_MAX; | |
REP(i, m) if (!vy[i]) checkMin(d, slack[i]); | |
REP(i, n) if (vx[i]) lx[i] -= d; | |
REP(i, m) if (vy[i]) ly[i] += d; else slack[i] -= d; | |
} | |
} | |
weight_t res = 0; REP(x, n){ | |
if (W[x][px[x]] == -INF) return INF; | |
res += W[x][px[x]]; | |
} | |
return -res; | |
} | |
#undef w | |
//Interface.. . //{ | |
void add_node(int t[]){ | |
REP(i, m) W[n][i] = -t[i]; ++n; | |
} | |
void init(){ | |
n = 0; | |
} | |
} //using namespace KM; | |
int dp[N][N], w[N]; vector<int> adj[N]; | |
#define v (*it) | |
void dfs(int u = 0){ | |
ECH(it, adj[u]) dfs(v); | |
REP(i, m) dp[u][i] = INF; | |
REP(i, m){ | |
KM::init(); ECH(it, adj[u]){ | |
int t = dp[v][i]; dp[v][i] = INF; | |
KM::add_node(dp[v]); dp[v][i] = t; | |
} | |
int t = KM::run(); | |
dp[u][i] = w[i] + t; | |
} | |
} | |
class GoodCompanyDivOne { | |
public: | |
int minimumCost(vector <int> superior, vector <int> training) { | |
n = SZ(superior); REP(i, n) adj[i].clear(); FOR(i, 1, n) adj[superior[i]].PB(i); | |
m = SZ(training); SRT(training); w[0] = training[0] + training[1]; FOR(i, 1, m) w[i] = training[0] + training[i]; | |
FLC(dp, -1); dfs(); int z = INF; REP(i, m) checkMin(z, dp[0][i]); if(z==INF) z = -1; | |
return z; | |
} | |
}; | |
// BEGIN CUT HERE | |
namespace moj_harness { | |
int run_test_case(int); | |
void run_test(int casenum = -1, bool quiet = false) { | |
if (casenum != -1) { | |
if (run_test_case(casenum) == -1 && !quiet) { | |
cerr << "Illegal input! Test case " << casenum << " does not exist." << endl; | |
} | |
return; | |
} | |
int correct = 0, total = 0; | |
for (int i=0;; ++i) { | |
int x = run_test_case(i); | |
if (x == -1) { | |
if (i >= 100) break; | |
continue; | |
} | |
correct += x; | |
++total; | |
} | |
if (total == 0) { | |
cerr << "No test cases run." << endl; | |
} else if (correct < total) { | |
cerr << "Some cases FAILED (passed " << correct << " of " << total << ")." << endl; | |
} else { | |
cerr << "All " << total << " tests passed!" << endl; | |
} | |
} | |
int verify_case(int casenum, const int &expected, const int &received, clock_t elapsed) { | |
cerr << "Example " << casenum << "... "; | |
string verdict; | |
vector<string> info; | |
char buf[100]; | |
if (elapsed > CLOCKS_PER_SEC / 200) { | |
sprintf(buf, "time %.2fs", elapsed * (1.0/CLOCKS_PER_SEC)); | |
info.push_back(buf); | |
} | |
if (expected == received) { | |
verdict = "PASSED"; | |
} else { | |
verdict = "FAILED"; | |
} | |
cerr << verdict; | |
if (!info.empty()) { | |
cerr << " ("; | |
for (int i=0; i<(int)info.size(); ++i) { | |
if (i > 0) cerr << ", "; | |
cerr << info[i]; | |
} | |
cerr << ")"; | |
} | |
cerr << endl; | |
if (verdict == "FAILED") { | |
cerr << " Expected: " << expected << endl; | |
cerr << " Received: " << received << endl; | |
} | |
return verdict == "PASSED"; | |
} | |
int run_test_case(int casenum) { | |
switch (casenum) { | |
case 0: { | |
int superior[] = {-1, 0, 0, 2, 1, 1, 2, 3}; | |
int training[] = {5, 17}; | |
int expected__ = -1; | |
clock_t start__ = clock(); | |
int received__ = GoodCompanyDivOne().minimumCost(vector <int>(superior, superior + (sizeof superior / sizeof superior[0])), vector <int>(training, training + (sizeof training / sizeof training[0]))); | |
return verify_case(casenum, expected__, received__, clock()-start__); | |
} | |
case 1: { | |
int superior[] = {-1, 0, 0}; | |
int training[] = {1, 2, 3}; | |
int expected__ = 10; | |
clock_t start__ = clock(); | |
int received__ = GoodCompanyDivOne().minimumCost(vector <int>(superior, superior + (sizeof superior / sizeof superior[0])), vector <int>(training, training + (sizeof training / sizeof training[0]))); | |
return verify_case(casenum, expected__, received__, clock()-start__); | |
} | |
case 2: { | |
int superior[] = {-1, 0, 0, 0}; | |
int training[] = {1, 2, 3}; | |
int expected__ = -1; | |
clock_t start__ = clock(); | |
int received__ = GoodCompanyDivOne().minimumCost(vector <int>(superior, superior + (sizeof superior / sizeof superior[0])), vector <int>(training, training + (sizeof training / sizeof training[0]))); | |
return verify_case(casenum, expected__, received__, clock()-start__); | |
} | |
case 3: { | |
int superior[] = {-1, 0, 0, 2, 2, 2, 1, 1, 6, 0, 5, 4, 11, 10, 3, 6, 11, 7, 0, 2, 13, 14, 2, 10, 9, 11, 22, 10, 3}; | |
int training[] = {4, 2, 6, 6, 8, 3, 3, 1, 1, 5, 8, 6, 8, 2, 4}; | |
int expected__ = 71; | |
clock_t start__ = clock(); | |
int received__ = GoodCompanyDivOne().minimumCost(vector <int>(superior, superior + (sizeof superior / sizeof superior[0])), vector <int>(training, training + (sizeof training / sizeof training[0]))); | |
return verify_case(casenum, expected__, received__, clock()-start__); | |
} | |
// custom cases | |
case 4: { | |
int superior[] = {-1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ,1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3}; | |
int training[] = {1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29}; | |
int expected__ = 296; | |
clock_t start__ = clock(); | |
int received__ = GoodCompanyDivOne().minimumCost(vector <int>(superior, superior + (sizeof superior / sizeof superior[0])), vector <int>(training, training + (sizeof training / sizeof training[0]))); | |
return verify_case(casenum, expected__, received__, clock()-start__); | |
} | |
/* case 5: { | |
int superior[] = ; | |
int training[] = ; | |
int expected__ = ; | |
clock_t start__ = clock(); | |
int received__ = GoodCompanyDivOne().minimumCost(vector <int>(superior, superior + (sizeof superior / sizeof superior[0])), vector <int>(training, training + (sizeof training / sizeof training[0]))); | |
return verify_case(casenum, expected__, received__, clock()-start__); | |
}*/ | |
/* case 6: { | |
int superior[] = ; | |
int training[] = ; | |
int expected__ = ; | |
clock_t start__ = clock(); | |
int received__ = GoodCompanyDivOne().minimumCost(vector <int>(superior, superior + (sizeof superior / sizeof superior[0])), vector <int>(training, training + (sizeof training / sizeof training[0]))); | |
return verify_case(casenum, expected__, received__, clock()-start__); | |
}*/ | |
default: | |
return -1; | |
} | |
} | |
} | |
int main(int argc, char *argv[]) { | |
if (argc == 1) { | |
moj_harness::run_test(); | |
} else { | |
for (int i=1; i<argc; ++i) | |
moj_harness::run_test(atoi(argv[i])); | |
} | |
} | |
// END CUT HERE |
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/** Micro Mezz Macro Flation -- Overheated Economy ., Last Update: Nov. 7th 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<n;++i) | |
#define FOR(i, a, b) for (int i=a;i<b;++i) | |
#define DWN(i, b, a) for (int i=b-1;i>=a;--i) | |
#define REP_1(i, n) for (int i=1;i<=n;++i) | |
#define FOR_1(i, a, b) for (int i=a;i<=b;++i) | |
#define DWN_1(i, b, a) for (int i=b;i>=a;--i) | |
#define REP_C(i, n) for (int n____=n,i=0;i<n____;++i) | |
#define FOR_C(i, a, b) for (int b____=b,i=a;i<b____;++i) | |
#define DWN_C(i, b, a) for (int a____=a,i=b-1;i>=a____;--i) | |
#define REP_N(i, n) for (i=0;i<n;++i) | |
#define FOR_N(i, a, b) for (i=a;i<b;++i) | |
#define DWN_N(i, b, a) for (i=b-1;i>=a;--i) | |
#define REP_1_C(i, n) for (int n____=n,i=1;i<=n____;++i) | |
#define FOR_1_C(i, a, b) for (int b____=b,i=a;i<=b____;++i) | |
#define DWN_1_C(i, b, a) for (int a____=a,i=b;i>=a____;--i) | |
#define REP_1_N(i, n) for (i=1;i<=n;++i) | |
#define FOR_1_N(i, a, b) for (i=a;i<=b;++i) | |
#define DWN_1_N(i, b, a) for (i=b;i>=a;--i) | |
#define REP_C_N(i, n) for (int n____=(i=0,n);i<n____;++i) | |
#define FOR_C_N(i, a, b) for (int b____=(i=0,b);i<b____;++i) | |
#define DWN_C_N(i, b, a) for (int a____=(i=b-1,a);i>=a____;--i) | |
#define REP_1_C_N(i, n) for (int n____=(i=1,n);i<=n____;++i) | |
#define FOR_1_C_N(i, a, b) for (int b____=(i=1,b);i<=b____;++i) | |
#define DWN_1_C_N(i, b, a) for (int a____=(i=b,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, suc) for (int i=hd;i;i=suc[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 LBD(A, x) (lower_bound(ALL(A), x) - A.begin()) | |
#define UBD(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; | |
const int INF = 0x3f3f3f3f; | |
const LL INFF = 0x3f3f3f3f3f3f3f3fLL; | |
const DB EPS = 1e-9; | |
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 T& checkMin(T &a,const T b){if (b<a) a=b;return a;} | |
template<class T> inline T& checkMax(T &a,const T b){if (a<b) a=b;return a;} | |
template<class T> inline T& checkMin(T &a, T &b, const T x){checkMin(a, x), checkMin(b, x);return a;} | |
template<class T> inline T& checkMax(T &a, T &b, const T x){checkMax(a, x), checkMax(b, x);return a;} | |
template <class T, class C> inline T& checkMin(T& a, const T b, C c){if (c(b,a)) a = b;return a;} | |
template <class T, class C> inline T& checkMax(T& a, const T b, C c){if (c(a,b)) a = b;return a;} | |
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 min(T a, T b, T c, T d, T e){return min(min(min(a,b),min(c,d)),e);} | |
template<class T> inline T max(T a, T b, T c, T d, T e){return max(max(max(a,b),max(c,d)),e);} | |
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;} | |
template<class T> T abs(T x){return x>0?x:-x;} | |
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 int sgn(cLine l)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);} | |
inline int Seg::sgn(cLine l)const{return sgn(Ts*l);} | |
// 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("%.9f\n", x); | |
printf("%d\n", x); | |
//cout << x << endl; | |
//last_ans = x; | |
} | |
//} | |
//}/* .................................................................................................................................. */ | |
const int N = 31, M = 31; | |
int n, m; | |
namespace MCMF{ | |
const int N = 109, M = N*N+9; | |
typedef int weight_t; | |
const weight_t weight_MAX = INF; | |
const weight_t weight_MIN = -INF; | |
int D[N], hd[N], suc[M], to[M], cap[M], cst[M]; | |
int n, m, s, t; LL flow, cost; int mask = _U(lg2(N)); | |
inline void add_edge(int x, int y, int c, weight_t w){ | |
suc[m] = hd[x], to[m] = y, cap[m] = c, cst[m] = w, hd[x] = m++; | |
suc[m] = hd[y], to[m] = x, cap[m] = 0, cst[m] = -w, hd[y] = m++; | |
} | |
int Q[N], F[N], pre[N], cz, op; bool inQ[N]; | |
#define v to[i] | |
#define c cap[i] | |
#define f cap[i^1] | |
#define w cst[i] | |
bool spfa(){ | |
cz = 0, op = 1; fill(inQ, inQ + n, 0), fill(D, D + n, weight_MAX); | |
D[Q[cz] = s] = 0, F[s] = INF; while (cz < op){ | |
int u = Q[cz++ & mask]; inQ[u] = 0; | |
REP_G(i, u) if (c && D[v] > D[u] + w){ | |
D[v] = D[u] + w, F[v] = min(F[u], c); pre[v] = i; | |
if (!inQ[v]) Q[op++ & mask] = v, inQ[v] = 1; | |
} | |
} | |
return D[t] != weight_MAX; | |
} | |
#undef v | |
void add_path(){ | |
flow += F[t]; int u, v = t; do{ | |
int i = pre[v]; u = to[i^1], f += F[t], c -= F[t]; | |
cost += F[t]*w, v = u; | |
} while (u != s); | |
} | |
pair<weight_t, int> run(){ | |
to[m] = s, flow = 0, cost = 0; while (spfa()) add_path(); | |
return MP(cost, flow); | |
} | |
#undef c | |
#undef f | |
#undef w | |
//Interface.. . //{ | |
int new_node(){ | |
hd[n] = 0; | |
return n++; | |
} | |
void add_node(int t[]){ | |
int x = new_node(); add_edge(s, x, 1, 0); | |
REP(i, ::m) if (t[i] != INF) add_edge(x, i+1, 1, t[i]); | |
} | |
void init(){ | |
n = 0, m = 2, s = new_node(); DO(::m) new_node(); t = new_node(); | |
REP_1(i, ::m) add_edge(i, t, 1, 0); | |
} | |
} //using namespace MCMF; | |
int dp[N][N], w[N]; VI adj[N]; | |
#define v (*it) | |
void dfs(int u = 0){ | |
int c = 0; ECH(it, adj[u]) dfs(v), ++c; REP(i, m){ | |
if (c+1 > m) dp[u][i] = INF; | |
else{ | |
MCMF::init(); ECH(it, adj[u]){ | |
int t = dp[v][i]; dp[v][i] = INF; | |
MCMF::add_node(dp[v]); dp[v][i] = t; | |
} | |
pair<int, int> z = MCMF::run(); | |
dp[u][i] = z.se == c ? w[i] + z.fi : INF; | |
} | |
} | |
} | |
#undef v | |
class GoodCompanyDivOne { | |
public: | |
int minimumCost(vector <int> superior, vector <int> training) { | |
n = SZ(superior); REP(i, n) adj[i].clear(); FOR(i, 1, n) adj[superior[i]].PB(i); | |
m = SZ(training); SRT(training); w[0] = training[0] + training[1]; FOR(i, 1, m) w[i] = training[0] + training[i]; | |
FLC(dp, -1); dfs(); int z = INF; REP(i, m) checkMin(z, dp[0][i]); if(z==INF) z = -1; | |
return z; | |
} | |
}; | |
// BEGIN CUT HERE | |
namespace moj_harness { | |
int run_test_case(int); | |
void run_test(int casenum = -1, bool quiet = false) { | |
if (casenum != -1) { | |
if (run_test_case(casenum) == -1 && !quiet) { | |
cerr << "Illegal input! Test case " << casenum << " does not exist." << endl; | |
} | |
return; | |
} | |
int correct = 0, total = 0; | |
for (int i=0;; ++i) { | |
int x = run_test_case(i); | |
if (x == -1) { | |
if (i >= 100) break; | |
continue; | |
} | |
correct += x; | |
++total; | |
} | |
if (total == 0) { | |
cerr << "No test cases run." << endl; | |
} else if (correct < total) { | |
cerr << "Some cases FAILED (passed " << correct << " of " << total << ")." << endl; | |
} else { | |
cerr << "All " << total << " tests passed!" << endl; | |
} | |
} | |
int verify_case(int casenum, const int &expected, const int &received, clock_t elapsed) { | |
cerr << "Example " << casenum << "... "; | |
string verdict; | |
vector<string> info; | |
char buf[100]; | |
if (elapsed > CLOCKS_PER_SEC / 200) { | |
sprintf(buf, "time %.2fs", elapsed * (1.0/CLOCKS_PER_SEC)); | |
info.push_back(buf); | |
} | |
if (expected == received) { | |
verdict = "PASSED"; | |
} else { | |
verdict = "FAILED"; | |
} | |
cerr << verdict; | |
if (!info.empty()) { | |
cerr << " ("; | |
for (int i=0; i<(int)info.size(); ++i) { | |
if (i > 0) cerr << ", "; | |
cerr << info[i]; | |
} | |
cerr << ")"; | |
} | |
cerr << endl; | |
if (verdict == "FAILED") { | |
cerr << " Expected: " << expected << endl; | |
cerr << " Received: " << received << endl; | |
} | |
return verdict == "PASSED"; | |
} | |
int run_test_case(int casenum) { | |
switch (casenum) { | |
case 0: { | |
int superior[] = {-1, 0, 1, 1, 1, 1, 1, 1, 1, 6, 5, 4, 9, 6, 4, 2, 11, 9, 9, 1, 11, 8, 11, 14, 13, 2, 7}; | |
int training[] = {5, 17}; | |
int expected__ = -1; | |
clock_t start__ = clock(); | |
int received__ = GoodCompanyDivOne().minimumCost(vector <int>(superior, superior + (sizeof superior / sizeof superior[0])), vector <int>(training, training + (sizeof training / sizeof training[0]))); | |
return verify_case(casenum, expected__, received__, clock()-start__); | |
} | |
case 1: { | |
int superior[] = {-1, 0, 0}; | |
int training[] = {1, 2, 3}; | |
int expected__ = 10; | |
clock_t start__ = clock(); | |
int received__ = GoodCompanyDivOne().minimumCost(vector <int>(superior, superior + (sizeof superior / sizeof superior[0])), vector <int>(training, training + (sizeof training / sizeof training[0]))); | |
return verify_case(casenum, expected__, received__, clock()-start__); | |
} | |
case 2: { | |
int superior[] = {-1, 0, 0, 0}; | |
int training[] = {1, 2, 3}; | |
int expected__ = -1; | |
clock_t start__ = clock(); | |
int received__ = GoodCompanyDivOne().minimumCost(vector <int>(superior, superior + (sizeof superior / sizeof superior[0])), vector <int>(training, training + (sizeof training / sizeof training[0]))); | |
return verify_case(casenum, expected__, received__, clock()-start__); | |
} | |
case 3: { | |
int superior[] = {-1, 0, 0, 2, 2, 2, 1, 1, 6, 0, 5, 4, 11, 10, 3, 6, 11, 7, 0, 2, 13, 14, 2, 10, 9, 11, 22, 10, 3}; | |
int training[] = {4, 2, 6, 6, 8, 3, 3, 1, 1, 5, 8, 6, 8, 2, 4}; | |
int expected__ = 71; | |
clock_t start__ = clock(); | |
int received__ = GoodCompanyDivOne().minimumCost(vector <int>(superior, superior + (sizeof superior / sizeof superior[0])), vector <int>(training, training + (sizeof training / sizeof training[0]))); | |
return verify_case(casenum, expected__, received__, clock()-start__); | |
} | |
// custom cases | |
case 4: { | |
int superior[] = {-1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ,1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3}; | |
int training[] = {1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29}; | |
int expected__ = 296; | |
clock_t start__ = clock(); | |
int received__ = GoodCompanyDivOne().minimumCost(vector <int>(superior, superior + (sizeof superior / sizeof superior[0])), vector <int>(training, training + (sizeof training / sizeof training[0]))); | |
return verify_case(casenum, expected__, received__, clock()-start__); | |
} | |
/* case 5: { | |
int superior[] = ; | |
int training[] = ; | |
int expected__ = ; | |
clock_t start__ = clock(); | |
int received__ = GoodCompanyDivOne().minimumCost(vector <int>(superior, superior + (sizeof superior / sizeof superior[0])), vector <int>(training, training + (sizeof training / sizeof training[0]))); | |
return verify_case(casenum, expected__, received__, clock()-start__); | |
}*/ | |
/* case 6: { | |
int superior[] = ; | |
int training[] = ; | |
int expected__ = ; | |
clock_t start__ = clock(); | |
int received__ = GoodCompanyDivOne().minimumCost(vector <int>(superior, superior + (sizeof superior / sizeof superior[0])), vector <int>(training, training + (sizeof training / sizeof training[0]))); | |
return verify_case(casenum, expected__, received__, clock()-start__); | |
}*/ | |
default: | |
return -1; | |
} | |
} | |
} | |
int main(int argc, char *argv[]) { | |
if (argc == 1) { | |
moj_harness::run_test(); | |
} else { | |
for (int i=1; i<argc; ++i) | |
moj_harness::run_test(atoi(argv[i])); | |
} | |
} | |
// END CUT HERE |
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