Template

#include <ios>
#include <new>
#include <cstdio>
#include <cmath>
#include <cstring>
#include <cctype>
#include <cstdlib>
#include <climits>
#include <ctime>
#include <assert.h>
#include <istream>
#include <ostream>
#include <iostream>
#include <iomanip>
#include <algorithm>
#include <vector>
#include <string>
#include <numeric>
#include <fstream>
#include <sstream>
#include <map>
#include <set>
#include <list>
#include <stack>
#include <queue>
#include <deque>
#include <locale>
#include <memory>
#include <valarray>
#include <complex>
#include <limits>
#include <bitset>
#include <iterator>
#include <utility>
#include <exception>
#include <functional>
#include <streambuf>
#include <typeinfo>
#include <cxxabi.h>
#include <tr1/cstdio>
#include <tr1/cstdlib>
#include <tr1/cmath>
#include <tr1/climits>
#include <tr1/cfenv>
#include <tr1/cstdarg>
#include <tr1/ctgmath>
#include <tr1/cstdbool>
#include <tr1/ctime>
#include <tr1/cstdint>
#include <tr1/cwchar>
#include <tr1/cwctype>
#include <tr1/cinttypes>
#include <ext/algorithm>
#include <ext/functional>
#include <ext/new_allocator.h>
#include <ext/pod_char_traits.h>
#include <ext/vstring.h>
#include <ext/stdio_filebuf.h>
#include <ext/atomicity.h>
#include <ext/concurrence.h>
#include <ext/iterator>
#include <ext/numeric>
#include <ext/stdio_sync_filebuf.h>
#include <ext/pool_allocator.h>
#include <ext/array_allocator.h>
#include <ext/debug_allocator.h>
#include <ext/malloc_allocator.h>
#include <ext/throw_allocator.h>
#include <ext/bitmap_allocator.h>
#include <ext/enc_filebuf.h>
#include <ext/memory>
#include <ext/rope>
#include <ext/typelist.h>
#include <ext/cast.h>
#include <ext/mt_allocator.h>
#include <ext/extptr_allocator.h>
#include <ext/slist>
#include <ext/type_traits.h>
#include <debug/bitset>
#include <debug/string>
#include <debug/deque>
#include <debug/set>
#include <debug/map>
#include <debug/list>
#include <debug/vector>
#include <tr1/functional>
#include <tr1/array>
#include <tr1/memory>
#include <tr1/tuple>
#include <tr1/utility>
#include <tr1/type_traits>
#include <tr1/regex>
#include <tr1/random>
#include <tr1/unordered_set>
#include <tr1/unordered_map>
#include <ext/rb_tree>
#include <ext/numeric_traits.h>
#include <ext/codecvt_specializations.h>

#define vinf (1 << 28)
#define inf ((~0U) >> (1))
#define pi (2.0 * acos(0.0))
#define lowbit(x) ((x) & (-(x)))
#define sine(x) (sin(radians(x)))
#define cosine(x) (cos(radians(x)))
#define tangent(x) (tan(radians(x)))
#define arcsine(x) (degrees((asin(x))))
#define arccosine(x) (degrees((acos(x))))
#define arctangent(x) (degrees((atan(x))))
#define clr(ar) (memset(ar, 0, sizeof(ar)))
#define radians(x) (((1.0 * x * pi) / 180.0))
#define degrees(x) (((x * 180.0) / (1.0 * pi)))
#define read() (freopen("lol.txt", "r+", stdin))
#define write() (freopen("lol.txt", "w+", stdout))
#define dbg(x) (std::cout << #x << " = " << x << endl)
#define twopow(x) ((((x & (x - 1)) == 0) && (x != 0)) ? (true) : (false))
#define mod(n, m) ((n >= 0) ? (n % m) : ((abs(n) % m) == 0) ? 0 : (m - (abs(n) % m)))