1
  2
  3
  4
  5
  6
  7
  8
  9
 10
 11
 12
 13
 14
 15
 16
 17
 18
 19
 20
 21
 22
 23
 24
 25
 26
 27
 28
 29
 30
 31
 32
 33
 34
 35
 36
 37
 38
 39
 40
 41
 42
 43
 44
 45
 46
 47
 48
 49
 50
 51
 52
 53
 54
 55
 56
 57
 58
 59
 60
 61
 62
 63
 64
 65
 66
 67
 68
 69
 70
 71
 72
 73
 74
 75
 76
 77
 78
 79
 80
 81
 82
 83
 84
 85
 86
 87
 88
 89
 90
 91
 92
 93
 94
 95
 96
 97
 98
 99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
#include <unistd.h>
#include <string>
#include <vector>
#include <map>
#include <iostream>
#include <algorithm>

using namespace std;
#define REP(i,n) for(int _n=(n), i=0;i<_n;++i)
#define FOR(i,a,b) for(int i=(a),_b=(b);i<=_b;++i)
#define FORD(i,a,b) for(int i=(a),_b=(b);i>=_b;--i)
#define TRACE(x) cerr << "TRACE(" #x ")" << endl;
#define DEBUG(x) cerr << #x << " = " << (x) << endl;
typedef long long LL;
typedef unsigned long long ULL;
using VINT = vector<int>;
using VLL = vector<LL>;
using VULL = vector<ULL>;

// parser by tczajka

class Input {
 public:
  Input() { bufpos = bufend = buffer; eof = false; }
  bool Eof() { return eof; }
  char Peek() { if(bufpos == bufend) Grab(); return *bufpos; }
  unsigned char UPeek() { return static_cast<unsigned char>(Peek()); }
  void SkipWS();
  template<class T> T Get();
  void operator()() {}
  template<class Arg, class... Args> void operator()(Arg &arg, Args &... args) {
    arg = Get<Arg>();
    operator()(args...);
  }
 private:
  static const int BUFSIZE = 1<<16;
  char buffer[BUFSIZE];
  char *bufpos;
  char *bufend;
  bool eof;
  void Grab();
};

void Input::Grab() {
  if(eof) return;
  bufpos = buffer;
  bufend = buffer + read(0, buffer, BUFSIZE);
  if(bufend==bufpos) { eof=true; *bufpos=0; }
}

template<> inline char Input::Get<char>() {
  char res = Peek();
  ++bufpos;
  return res;
}

void Input::SkipWS() {
  while(isspace(UPeek())) Get<char>();
}

template<> unsigned Input::Get<unsigned>() {
  SkipWS();
  unsigned x = 0;
  while(isdigit(UPeek())) {
    x = 10u * x + (Get<char>()-'0');
  }
  return x;
}

template<> int Input::Get<int>() {
  SkipWS();
  bool neg = false;
  if(Peek()=='-') { neg=true; Get<char>(); }
  unsigned x = Get<unsigned>();
  if (neg) x = -x;
  return static_cast<int>(x);
}

template<> ULL Input::Get<ULL>() {
  SkipWS();
  ULL x = 0;
  while(isdigit(UPeek())) {
    x = 10ULL * x + (Get<char>()-'0');
  }
  return x;
}

template<> LL Input::Get<LL>() {
  SkipWS();
  bool neg = false;
  if(Peek()=='-') { neg=true; Get<char>(); }
  ULL x = Get<ULL>();
  if (neg) x = -x;
  return static_cast<LL>(x);
}

template<> string Input::Get<string>() {
  SkipWS();
  string s;
  while(!Eof() && !isspace(UPeek())) s += Get<char>();
  return s;
}

Input IN;


int main() {
  VINT v;
  map<int, int> m;
  auto n = IN.Get<int>();
  v.reserve(n);
  REP(i, n) {
    auto aa = IN.Get<int>();
    v.push_back(aa);
    m.emplace(aa, i);
  }

  int last_pos = m[n];
  int first_pos = m[n];
  int64_t count = 0;
  REP(i, n) {
    auto first_to_find = n - (i+1)/2;
    auto current_pos = m[first_to_find];
    if (current_pos < first_pos) first_pos = current_pos;
    if (current_pos > last_pos) last_pos = current_pos;
    auto d = last_pos - first_pos;
    if (d <= i) {
      auto left_on_left = first_pos;
      auto left_on_right = n - 1 - last_pos;
      auto max_rotation = min(left_on_left, left_on_right);
      auto possible_rotation = min(i - d, n -1 - i);
      auto m = min(possible_rotation, max_rotation);
      count += m + 1;
    }
  }
  cout << 2*n + 1 << " " << count << endl;

  return 0;
}