Demo entry 1940815

test cpp

   

Submitted by trcnkq on Jun 16, 2015 at 15:06
Language: C++. Code size: 27.4 kB.

#define LOCAL
#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 rECH(it, A) for (__typeof((A).rbegin()) it=(A).rbegin(); it != (A).rend(); ++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) (upper_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--;)


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 T0& RDD(T0&a, T1&b){RDD(a),RDD(b); return a;}
template<class T0,class T1,class T2>inline T1& RDD(T0&a, T1&b, T2&c){RDD(a),RDD(b),RDD(c); return a;}

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 T> inline void CLR(queue<T> &Q){while (!Q.empty()) Q.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, 1, 0, 0};
const int dy[] = {0, 0, -1, 1};

//}

/** Add On .. **/ //{
// <<= '0. Nichi Joo ., //{

template<class T> inline bool checkMin(T &a,const T b){return b < a ? a = b, 1 : 0;}
template<class T> inline bool checkMax(T &a,const T b){return a < b ? a = b, 1 : 0;}
template <class T, class C> inline bool checkUpd(T& a, const T b, C c){return c(b,a) ? a = b, 1 : 0;}
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{
#define gcd __gcd
    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;}
    
    /* 模数两倍刚好超 int 时。
     inline int sum(uint a, int b){a += b; a %= MOD;if (a < 0) a += MOD; return a;}
     inline void INC(int &a, int b){a = sum(a, b);}
     */
    
    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 pdt(int x,int y) {
        int ret; __asm__ __volatile__ ("\tmull %%ebx\n\tdivl %%ecx\n":"=d"(ret):"a"(x),"b"(y),"c"(MOD));
        return ret;
    }
    
    
    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 (1){
            q = a / b, a %= b;
            if (!a) return x2;
            DEC(x1, pdt(q, x2));
            
            q = b / a, b %= a;
            if (!b) return x1;
            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(_val){
            _val %= MOD; if (_val < 0) _val += MOD;
            val = _val;
        }
        
        Int& operator +=(const int& rhs){INC(val, rhs);rTs;}
        Int operator +(const int& rhs) const{return sum(val, rhs);}
        Int& operator -=(const int& rhs){DEC(val, rhs);rTs;}
        Int operator -(const int& rhs) const{return dff(val, rhs);}
        Int& operator *=(const int& rhs){MUL(val, rhs);rTs;}
        Int operator *(const int& rhs) const{return pdt(val, rhs);}
        Int& operator /=(const int& rhs){DIV(val, rhs);rTs;}
        Int operator /(const int& rhs) const{return qtt(val, rhs);}
        Int operator-()const{return MOD-*this;}
    };
    
} 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 = int(1e2) + 9;

char Map[N][N];
int n, m, sx, sy, bx, by, tx, ty;
int bj[N][N][4], tt;

struct state{
    state(int x=0,int y=0,int i=0):x(x),y(y),i(i){}
    int x,y,i;
};

queue<state> Q[2]; int p, q;

namespace BFS{
    
    int bj[N][N], tt;
    
    queue<PII> Q;
    
    void bfs(int sx, int sy){
        
        ++tt; if (Map[sx][sy] != 'w') return;
        
        bj[sx][sy] = tt;
        Q.push(MP(sx, sy));
        
        while (!Q.empty()){
            PII u = Q.front(); Q.pop();
            
            REP(i, 4){
                PII v = MP(u.fi + dx[i], u.se + dy[i]);
                if (Map[v.fi][v.se] != 'w' || bj[v.fi][v.se] == tt) continue;
                Q.push(v);
                bj[v.fi][v.se] = tt;
            }
        }
    }
}

namespace Tarjan{
    int dfn[N][N], low[N][N], bn, tt;
    bool isCut[N][N]; set<int> bid[N][N];
    
    stack<pair<PII,PII> > sta;
    
    void dfs(int ux, int uy, int pi = -1){
        
        // cout << ux << " " << uy << endl;
        
        dfn[ux][uy] = low[ux][uy] = ++tt;
        isCut[ux][uy] = false;
        bid[ux][uy].clear();
        
        /*if (ux == 5 && uy == 8){
         0  cout << "safafafa" << endl;
         }*/
        
        int child = 0;
        
        REP(i, 4) if (i != (pi^1) ){
            
            int vx = ux + dx[i], vy = uy + dy[i];
            if (Map[vx][vy] != 'w') continue;
            
            if (!dfn[vx][vy]){
                sta.push(MP(MP(ux,uy),MP(vx,vy))); ++child;
                dfs(vx, vy, i);
                checkMin(low[ux][uy], low[vx][vy]);
                
                if (dfn[ux][uy] <= low[vx][vy]){
                    isCut[ux][uy] = true;
                    pair<PII, PII> t; do{
                        t = sta.top(); sta.pop();
                        bid[t.fi.fi][t.fi.se].insert(bn);
                        bid[t.se.fi][t.se.se].insert(bn);
                    } while (t.fi != MP(ux,uy) || t.se != MP(vx,vy));
                    ++bn;
                }
            }
            else{
                if (dfn[vx][vy] < dfn[ux][uy]){
                    sta.push(MP(MP(ux,uy),MP(vx,vy)));
                    checkMin(low[ux][uy], dfn[vx][vy]);
                }
            }
        }
        
        if (pi == -1 && child == 1){
            isCut[ux][uy] = true;
        }
    }
    
    void init(){
        tt = bn = 0; RST(dfn);
        dfs(sx, sy);
    }
}

bool inSameBic(int x1, int y1, int x2, int y2){
    
    //    return true;
    
    set<int>& s1 = Tarjan::bid[x1][y1];
    set<int>& s2 = Tarjan::bid[x2][y2];
    
    ECH(it, s1){
        if (CTN(s2, *it)) return true;
    }
    
    return false;
}


bool bfs(){
    
    REP_2_1(i, j, n, m){
        if (Map[i][j] == 'M'){
            Map[i][j] = 'w';
            sx = i, sy = j;
        }
        else if (Map[i][j] == 'P'){
            Map[i][j] = 'S';
            bx = i, by = j;
        }
        else if (Map[i][j] == 'K'){
            Map[i][j] = 'w';
            tx = i, ty = j;
        }
    }
    
    BFS::bfs(sx, sy);
    Map[bx][by] = 'w';
    
    REP(i, 2) while (!Q[i].empty()) Q[i].pop();
    p = 0, q = 1;
    
    ++tt;
    
    REP(i, 4){
        int xx = bx + dx[i], yy = by + dy[i];
        
        if (BFS::bj[xx][yy] == BFS::tt){
            Q[p].push(state(bx, by, i));
            bj[bx][by][i] = tt;
            //cout << "!?!?!?" << endl;
        }
    }
    
    Tarjan::init();
    int z = -1;
    
    /*
     REP_1(i, n){
     REP_1(j, m){
     cout << Tarjan::bid[i][j].size();
     }
     cout << endl;
     }
     */
    
    //cout << inSameBic(6, 8, 6, 10) << endl;
    //cout << Tarjan::isCut[6][9] << endl;
    
    while (!Q[p].empty()){
        swap(p, q), ++z;
        
        //cout << z << ":"<< endl;
        
        while (!Q[q].empty()){
            
            state u = Q[q].front(); Q[q].pop();
            int sx = u.x + dx[u.i], sy = u.y + dy[u.i];
            
            //  cout << u.x << " " << u.y << " " << u.i << endl;
            
            if (u.x == tx && u.y == ty){
                cout << z << endl;
                return true;
            }
            
            
            // Map[u.x][u.y] = 'S';
            //BFS::bfs(sx, sy);
            //Map[u.x][u.y] = 'w';
            
            
            bool boxOnCut = Tarjan::isCut[u.x][u.y];
            
            
            REP(i, 4) if (i != u.i){
                state v(u.x,u.y,i);
                //                if (BFS::bj[v.x+dx[i]][v.y+dy[i]] != BFS::tt || bj[v.x][v.y][i] == tt) continue;
                //                  if (BFS::bj[v.x+dx[i]][v.y+dy[i]] != BFS::tt || bj[v.x][v.y][i] == tt) continue;
                int tx = u.x + dx[i], ty = u.y + dy[i];
                
                if (Map[tx][ty] != 'w') continue;
                
                /*if ((boxOnCut && !inSameBic(sx,sy,tx,ty)) != (BFS::bj[v.x+dx[i]][v.y+dy[i]] != BFS::tt)){
                 
                 cout << boxOnCut << endl;
                 cout << u.x << " " << u.y << endl;
                 
                 cout << sx << " " << sy << " " << tx << " " << ty << endl;
                 
                 cout << Tarjan::bid[sx][sy].size() << " v.s. " << Tarjan::bid[tx][ty].size() << endl;
                 
                 cout <<  inSameBic(sx,sy,tx,ty) << endl;
                 
                 return 0;
                 }*/
                
                if (bj[v.x][v.y][i] == tt || (boxOnCut && !inSameBic(sx,sy,tx,ty))) continue;
                //if (bj[v.x][v.y][i] == tt || (BFS::bj[v.x+dx[i]][v.y+dy[i]] != BFS::tt) ) continue;
                
                bj[v.x][v.y][i] = tt;
                Q[q].push(v);
            }
            else{
                state v(u.x-dx[i],u.y-dy[i],i);
                if (Map[v.x][v.y] != 'w' || bj[v.x][v.y][i] == tt) continue;
                bj[v.x][v.y][i] = tt;
                Q[p].push(v);
            }
        }
    }
    
    return false;
}


int main(){
    
#ifndef ONLINE_JUDGE
    freopen("/users/xiaodao/desktop/Exercise/in.txt", "r", stdin);
    //freopen("/users/xiaodao/desktop/Exercise/out.txt", "w", stdout);
#endif
    
    //int __size__ = 256 << 20; // 256MB
    //char *__p__ = (char*)malloc(__size__) + __size__;
    //__asm__("movl %0, %%esp\n" :: "r"(__p__));
    
    Rush{
        RD(n, m); REP_1(i, n) RS(Map[i]+1);
        REP_1(i, n) Map[i][0] = Map[i][m+1] = 'S';
        REP_1(i, m) Map[0][i] = Map[n+1][0] = 'S';
    
        if (!bfs()) puts("NO");
        //if (!bfs()) puts("NIE");
    }
}

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