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#include <bits/stdc++.h>
#include "message.h"
#include "futbol.h"
#define MP make_pair
#define PB push_back
#define int long long
#define st first
#define nd second
#define rd third
#define FOR(i, a, b) for(int i =(a); i <=(b); ++i)
#define RE(i, n) FOR(i, 1, n)
#define FORD(i, a, b) for(int i = (a); i >= (b); --i)
#define REP(i, n) for(int i = 0;i <(n); ++i)
#define VAR(v, i) __typeof(i) v=(i)
#define FORE(i, c) for(VAR(i, (c).begin()); i != (c).end(); ++i)
#define ALL(x) (x).begin(), (x).end()
#define SZ(x) ((int)(x).size())
using namespace std;
template<typename TH> void _dbg(const char* sdbg, TH h) { cerr<<sdbg<<"="<<h<<"\n"; }
template<typename TH, typename... TA> void _dbg(const char* sdbg, TH h, TA... t) {
  while(*sdbg != ',')cerr<<*sdbg++; cerr<<"="<<h<<","; _dbg(sdbg+1, t...);
}
#ifdef LOCAL
#define debug(...) _dbg(#__VA_ARGS__, __VA_ARGS__)
#define debugv(x) {{cerr <<#x <<" = "; FORE(itt, (x)) cerr <<*itt <<", "; cerr <<"\n"; }}
#else
#define debug(...) (__VA_ARGS__)
#define debugv(x)
#define cerr if(0)cout
#endif
#define next ____next
#define prev ____prev
#define left ____left
#define hash ____hash
typedef long long ll;
typedef long double LD;
typedef pair<int, int> PII;
typedef pair<ll, ll> PLL;
typedef vector<int> VI;
typedef vector<VI> VVI;
typedef vector<ll> VLL;
typedef vector<pair<int, int> > VPII;
typedef vector<pair<ll, ll> > VPLL;

template<class C> void mini(C&a4, C b4){a4=min(a4, b4); }
template<class C> void maxi(C&a4, C b4){a4=max(a4, b4); }
template<class T1, class T2>
ostream& operator<< (ostream &out, pair<T1, T2> pair) { return out << "(" << pair.first << ", " << pair.second << ")";}
template<class A, class B, class C> struct Triple { A first; B second; C third;
  bool operator<(const Triple& t) const { if (st != t.st) return st < t.st; if (nd != t.nd) return nd < t.nd; return rd < t.rd; } };
template<class T> void ResizeVec(T&, vector<int>) {}
template<class T> void ResizeVec(vector<T>& vec, vector<int> sz) {
  vec.resize(sz[0]); sz.erase(sz.begin()); if (sz.empty()) { return; }
  for (T& v : vec) { ResizeVec(v, sz); }
}
typedef Triple<int, int, int> TIII;
template<class A, class B, class C>
ostream& operator<< (ostream &out, Triple<A, B, C> t) { return out << "(" << t.st << ", " << t.nd << ", " << t.rd << ")"; }
template<class T> ostream& operator<<(ostream& out, vector<T> vec) { out<<"("; for (auto& v: vec) out<<v<<", "; return out<<")"; }

// const int kMaxIntInMsg = 5000000;
// 
// void SuperSend(int inst, vector<int>& vec) {
//   int msg_num = (SZ(vec) + kMaxIntInMsg - 1) / kMaxIntInMsg;
//   PutLL(inst, msg_num); Send(inst);
//   REP (msg, msg_num) {
//     PutLL(inst, min(kMaxIntInMsg, SZ(vec) - msg * kMaxIntInMsg));
//     for (int j = msg * kMaxIntInMsg; j < (msg + 1) * kMaxIntInMsg && j < SZ(vec); j++) {
//       PutLL(inst, vec[j]);
//     }
//     Send(inst);
//   }
// }
// vector<int> SuperReceive(int inst) {
//   inst = Receive(inst); int parts = GetLL(inst); vector<int> vec;
//   REP (i, parts) {
//     Receive(inst); int sz = GetLL(inst);
//     REP (j, sz) { vec.PB(GetLL(inst)); }
//   }
//   return vec;
// }
// void PutVLL(int to, vector<ll> v) { PutLL(to, SZ(v)); for (auto x : v) PutLL(to, x); }
// vector<ll> GetVLL(int from) { vector<ll> v; int k = GetLL(from); REP (i, k) { v.PB(GetLL(from)); } return v; }
// void PutPLL(int to, pair<ll, ll> p) { PutLL(to, p.st); PutLL(to, p.nd); }
// pair<ll, ll> GetPLL(int from) { int fir = GetLL(from); int sec = GetLL(from); return {fir, sec}; }
// int inst_num;
// int Beg1(int n) { return 1ll * n *  MyNodeId()      / inst_num + 1; }
// int En1(int n)  { return 1ll * n * (MyNodeId() + 1) / inst_num;     }
// int Beg0(int n) { return 1ll * n *  MyNodeId()      / inst_num;     }
// int En0(int n)  { return 1ll * n * (MyNodeId() + 1) / inst_num - 1; }
// int n;

int P;
int K;
int spow(int a, int b) {
  int r = 1;
  while (b) {
    if (b % 2) {
      r = r * a % P;
    }
    a = a * a % P;
    b /= 2;
  }
  return r;
}
int Inv(int a) {
  return spow(a, P - 2);
}
 const int maxN = 1e7 + 5;

int32_t main() {

  ios_base::sync_with_stdio(0);
  cout << fixed << setprecision(10);
  cerr << fixed << setprecision(10);
  cin.tie(0);
  //double beg_clock = 1.0 * clock() / CLOCKS_PER_SEC;
  
  int inst_num = NumberOfNodes();
  //debug(inst_num);
  P = GetP();
  K = GetK();
//#ifdef LOCAL
  int w = (P - K) / inst_num + 1;
// #else 
//   int w = 2;
// #endif
  int id = MyNodeId();
  //debug(w);
  int N = min(P, w + 2);
//   vector<int32_t> facs(N), invs(N);
//   facs[0] = 1;
//   RE (i, N - 1) {
//     facs[i] = 1ll * facs[i - 1] * i % P;
//   }
//   invs[N - 1] = Inv(facs[N - 1]);
//   FORD (i, N - 2, 0) {
//     invs[i] = 1ll * invs[i + 1] * (i + 1) % P;
//   }
//   RE (i, N - 1) {
//     invs[i] = 1ll * invs[i] * facs[i - 1] % P;
//   }
  
//   facs.clear();
//   facs.shrink_to_fit();
  
  int prv_to = K + w * id;
  int my_to = min(P - 1, K + w * (id + 1));
  if (id == 73) {
    debug(my_to);
  }
  int steps = max(0ll, my_to - prv_to);
  //debug(steps);
  vector<int32_t> fac2(N), inv2(N);
  fac2[0] = 1;
  RE (i, steps) {
    //assert((prv_to - K + i) % P != 0);
    fac2[i] = 1ll * fac2[i - 1] * (prv_to - K + i) % P;
  }
  int denn = fac2[steps];
  inv2[steps] = Inv(fac2[steps]);
  FORD (i, steps - 1, 0) {
    inv2[i] = 1ll * inv2[i + 1] * (prv_to - K + i + 1) % P;
  }
  assert(inv2[0] == 1);
//   invs[0] = Inv(prv_to - K + 1);
  RE (i, steps) {
    inv2[i] = 1ll * inv2[i] * fac2[i - 1] % P;
    //assert(inv2[i] == Inv(prv_to - K + i));
  }
  fac2.clear();
  fac2.shrink_to_fit();
  
//   if (id == 73) {
//     debug(clock() * 1.0 / CLOCKS_PER_SEC);
//   }
  function<PII(int, int)> Preproc = [&](int n, int full) {
    int L = n - prv_to;
    int sum_L_newts = spow(2, L);
//     int last_L_newt = 1;
    int mul_newt = 1;
    int mul_y = 0;
    FOR (i, 0, L - 1) {
      mul_y *= 2;
      mul_y += mul_newt;
      while (mul_y >= P) {
        mul_y -= P;
      }
      //assert(inv2[i + 1] == Inv(prv_to + i + 1 - K));
      mul_newt *= (prv_to + i + 1) * inv2[i + 1] % P;
      mul_newt %= P;
    }
    //debug(L);
//     FOR (i, 0, L - 1) {
//       sum_L_newts -= last_L_newt;
//       if (sum_L_newts < 0) {
//         sum_L_newts += P;
//       }
//       last_L_newt *= invs[i + 1] * (L - i) % P;
//       last_L_newt %= P;
//       mul_y = (mul_y + mul_newt * sum_L_newts) % P;
//       //assert(K != i);
//       mul_newt *= (K - i) * inv2[i + 1] % P;
//       mul_newt %= P;
//     }
//     int num = 1, den = denn;
//     if (full) {
//       FOR (i, prv_to + 1, n) {
//         num = num * i % P;
//         //den = den * (i - K) % P;
//       }
//     }
    return PII{mul_y, mul_newt};
  };
  PII preproc_full = Preproc(my_to, 1);
  int x = spow(2, K);
  int y = 1;
  int n;
  if (id) {
    Receive(id - 1);
    x = GetInt(id - 1);
    y = GetInt(id - 1);
    n = GetInt(id - 1);
  } else {
    n = GetN();
  }
  int nxt_inst = (id + 1) % inst_num;
  if (n <= prv_to) {
  } else if (n >= my_to) {
    x = ((x * spow(2, my_to - prv_to) - preproc_full.st * y) % P + P) % P;
    y = y * preproc_full.nd % P;
  } else {
    PII preproc_part = Preproc(n, 0);
    x = ((x * spow(2, n - prv_to) - preproc_part.st * y) % P + P) % P;
  }
  
  PutInt(nxt_inst, x);
  PutInt(nxt_inst, y);
  PutInt(nxt_inst, n);
  Send(nxt_inst);
  if (id == 0) {
    Receive(inst_num - 1);
    x = GetInt(inst_num - 1);
    y = GetInt(inst_num - 1);
    n = GetInt(inst_num - 1);
    cout<<x<<endl;
  }
  return 0;
}