結果

問題 No.1615 Double Down
ユーザー iaNTUiaNTU
提出日時 2021-06-20 09:44:43
言語 C++17
(gcc 13.2.0 + boost 1.83.0)
結果
RE  
実行時間 -
コード長 20,859 bytes
コンパイル時間 2,692 ms
コンパイル使用メモリ 220,792 KB
実行使用メモリ 4,784 KB
最終ジャッジ日時 2023-09-24 14:33:33
合計ジャッジ時間 10,550 ms
ジャッジサーバーID
(参考情報)
judge14 / judge11
このコードへのチャレンジ(β)

テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 RE -
testcase_01 RE -
testcase_02 RE -
testcase_03 RE -
testcase_04 RE -
testcase_05 RE -
testcase_06 RE -
testcase_07 RE -
testcase_08 RE -
testcase_09 RE -
testcase_10 RE -
testcase_11 RE -
testcase_12 RE -
testcase_13 RE -
testcase_14 RE -
testcase_15 RE -
testcase_16 RE -
testcase_17 RE -
testcase_18 RE -
testcase_19 RE -
testcase_20 RE -
testcase_21 RE -
testcase_22 RE -
testcase_23 RE -
testcase_24 RE -
testcase_25 RE -
testcase_26 RE -
testcase_27 AC 8 ms
4,512 KB
testcase_28 AC 8 ms
4,440 KB
testcase_29 AC 13 ms
4,528 KB
testcase_30 AC 14 ms
4,592 KB
testcase_31 AC 10 ms
4,448 KB
testcase_32 AC 11 ms
4,484 KB
testcase_33 AC 16 ms
4,648 KB
testcase_34 AC 17 ms
4,652 KB
testcase_35 AC 17 ms
4,784 KB
testcase_36 WA -
testcase_37 WA -
testcase_38 AC 2 ms
4,376 KB
testcase_39 AC 2 ms
4,376 KB
testcase_40 AC 2 ms
4,380 KB
testcase_41 AC 3 ms
4,380 KB
testcase_42 WA -
testcase_43 WA -
testcase_44 WA -
testcase_45 AC 2 ms
4,376 KB
testcase_46 AC 2 ms
4,376 KB
testcase_47 AC 2 ms
4,380 KB
testcase_48 AC 1 ms
4,500 KB
testcase_49 AC 2 ms
4,376 KB
testcase_50 AC 2 ms
4,376 KB
testcase_51 AC 1 ms
4,376 KB
testcase_52 AC 2 ms
4,380 KB
testcase_53 AC 1 ms
4,376 KB
testcase_54 AC 1 ms
4,376 KB
testcase_55 AC 2 ms
4,376 KB
testcase_56 AC 1 ms
4,380 KB
権限があれば一括ダウンロードができます

ソースコード

diff #

// Exported by Exporter.exe

// Included from AC.cpp
// Should AC
#include <bits/stdc++.h>
using namespace std;
#define PB push_back
#define F first
#define S second
#define MP make_pair
#define MTP make_tuple
#define R Read
#define RD Read_Digit
#define RP Read_P
#define RL Read_Loop
#define RLD Read_Loop_Digit
#define RLP Read_Loop_P
#define RS Read_String
#ifdef ONLINE_JUDGE
	#define Debug(...) ;
	#define Debug_Array(n,x) ;
	#define Debugln_Array(n,x) ;
	#define NL ;
#else
	#define Debug(...) {printf("(%s) = ",(#__VA_ARGS__)),_print(__VA_ARGS__),printf("\n");}
	#define Debug_Array(n,x) {printf("%s :",(#x));for(int i=1;i<=n;i++)printf(" "),_print(x[i]);printf("\n");}
	#define Debugln_Array(n,x) {for(int i=1;i<=n;i++){printf("%s",(#x));printf("[%d] = ", i);_print(x[i]);printf("\n");}}
	#define NL {printf("\n");}
#endif
typedef long long int ll;
typedef unsigned long long int ull;

constexpr int kN = int(5E3 + 10);
constexpr int kM = int(1E5 + 10);
constexpr int kC = 31;
// constexpr int kMod = 998244353;
// constexpr int kMod = int(1E9 + 7);
// constexpr int kInf = 0x3f3f3f3f;
// constexpr ll kInf = 0x3f3f3f3f3f3f3f3f;
// constexpr double kPi = acos(-1);
// constexpr double kEps = 1E-9;


// Included from C:\Users\ianli\Desktop\CP\template\Various\Fast_IO\Fast_IO.cpp
bool Fast_IO_activated = false;
bool IOS_activated = false;
// --- Get ---
static inline char Get_Raw_Char() {
	static bool pre = Fast_IO_activated = true;
	static char buf[1 << 16], *p = buf, *end = buf;
	if (p == end) {
		if ((end = buf + fread(buf, 1, 1 << 16, stdin)) == buf) return '\0';
		p = buf;
	}
	return *p++;
}

// --- Read ---
template <typename T> static inline void Read_P(T &n) {
	static_assert(is_integral<T>::value, "Read_P requires an integral type");
	char c;
	while (!isdigit(c = Get_Raw_Char())) ;
	n = int(c - '0');
	while (isdigit(c = Get_Raw_Char())) n = n * 10 + int(c - '0');
	return ;
}

template <typename T> static inline void Read(T &n) {
	static_assert(is_integral<T>::value, "Read requires an integral type");
	char c;
	bool neg = false;
	while (!isdigit(c = Get_Raw_Char())) if (c == '-') neg = true;
	n = int(c - '0');
	while (isdigit(c = Get_Raw_Char())) n = n * 10 + int(c - '0');
	if (neg) n = -n;
	return ;
}

template <typename T> static inline void Read_Digit(T &n) {
	static_assert(is_integral<T>::value, "Read_Digit requires an integral type");
	char c;
	while (!isdigit(c = Get_Raw_Char())) ;
	n = int(c - '0');
	return ;
}

static inline void Read_String(string &s) {
	char c = Get_Raw_Char();
	while (c == ' ' || c == '\n') c = Get_Raw_Char();
	while (c != ' ' && c != '\n') {
		s += c;
		c = Get_Raw_Char();
	}
	return ;
}

// --- Read multiple ---
template <typename T, typename... Targs> static inline void Read(T &n, Targs&... Fargs) {Read(n); return Read(Fargs...);}
template <typename T, typename... Targs> static inline void Read_Digit(T &n, Targs&... Fargs) {Read_Digit(n); return Read_Digit(Fargs...);}
template <typename T, typename... Targs> static inline void Read_P(T &n, Targs&... Fargs) {Read_P(n); return Read_P(Fargs...);}

// --- Read Loop ---
template <typename T> static inline void Read_Loop_i(int i, T *a) {return Read(a[i]);}
template <typename T, typename... Targs> static inline void Read_Loop_i(int i, T *a, Targs*... Fargs) {Read(a[i]); return Read_Loop_i(i, Fargs...);}
template <typename... Targs> static inline void Read_Loop(int n, Targs*... Fargs) {for (int i = 1; i <= n; i++) Read_Loop_i(i, Fargs...);}

template <typename T> static inline void Read_Loop_Digit_i(int i, T *a) {return Read_Digit(a[i]);}
template <typename T, typename... Targs> static inline void Read_Loop_Digit_i(int i, T *a, Targs*... Fargs) {Read_Digit(a[i]); return Read_Loop_Digit_i(i, Fargs...);}
template <typename... Targs> static inline void Read_Loop_Digit(int n, Targs*... Fargs) {for (int i = 1; i <= n; i++) Read_Loop_Digit_i(i, Fargs...);}

template <typename T> static inline void Read_Loop_P_i(int i, T *a) {return Read_P(a[i]);}
template <typename T, typename... Targs> static inline void Read_Loop_P_i(int i, T *a, Targs*... Fargs) {Read_P(a[i]); return Read_Loop_P_i(i, Fargs...);}
template <typename... Targs> static inline void Read_Loop_P(int n, Targs*... Fargs) {for (int i = 1; i <= n; i++) Read_Loop_P_i(i, Fargs...);}

// --- Float ---
template <int mul, typename T> static inline void Read(T &n) {
	char c;
	bool neg = false;
	while (!isdigit(c = Get_Raw_Char())) if (c == '-') neg = true;
	n = int(c - '0');
	while (isdigit(c = Get_Raw_Char())) n = n * 10 + int(c - '0');

	int cnt = 0;

	if (c == '.') {
		while (isdigit(c = Get_Raw_Char())) {
			n = n * 10 + int(c - '0');
			cnt++;
		}
	}

	while (cnt++ < mul) n = n * 10;

	if (neg) n = -n;
	return ;
}

template <int mul, typename T> static inline void Read_P(T &n) {
	char c;
	while (!isdigit(c = Get_Raw_Char())) ;

	n = int(c - '0');
	while (isdigit(c = Get_Raw_Char())) n = n * 10 + int(c - '0');

	int cnt = 0;

	if (c == '.') {
		while (isdigit(c = Get_Raw_Char())) {
			n = n * 10 + int(c - '0');
			cnt++;
		}
	}

	while (cnt++ < mul) n = n * 10;
	return ;
}

template <int mul, typename T, typename... Targs> static inline void Read(T &n, Targs&... Fargs) {Read<mul>(n); return Read<mul>(Fargs...);}
template <int mul, typename T, typename... Targs> static inline void Read_P(T &n, Targs&... Fargs) {Read_P<mul>(n); return Read_P<mul>(Fargs...);}

// --- init ---
inline void IOS() {
	IOS_activated = true;
	ios::sync_with_stdio(false); cin.tie(0);
}
inline void Freopen(const char *in, const char *out) {freopen(in, "r", stdin); freopen(out, "w", stdout); return ;}

// --- Output ---
template <typename T> void Print(T x) {
	if (x < 0) {
		printf("-");
		x = -x;
	}
	if (x == 0) printf("0");
	else {
		static int val[100];
		int idx = -1;
		while (x) {
			val[++idx] = x % 10;
			x /= 10;
		}
		while (idx >= 0) printf("%d", val[idx--]);
	}
} 
// End of C:\Users\ianli\Desktop\CP\template\Various\Fast_IO\Fast_IO.cpp

// Included from C:\Users\ianli\Desktop\CP\template\Various\Useful_Functions\Useful_Functions.cpp
template <typename T> inline void sort(vector<T> &v) {return sort(v.begin(), v.end());}
template <typename T> inline void sort_r(vector<T> &v) {return sort(v.begin(), v.end(), greater<T>());}
inline void sort(string &s) {return sort(s.begin(), s.end());}
inline void sort_r(string &s) {return sort(s.begin(), s.end(), greater<char>());}

template <typename T> inline void reverse(vector<T> &v) {return reverse(v.begin(), v.end());}
inline void reverse(string &s) {return reverse(s.begin(), s.end());}

template <typename T> inline void Merge(vector<T> &a, vector<T> &b, vector<T> &c) {
	if (c.size() < a.size() + b.size()) c.resize(a.size() + b.size());
	merge(a.begin(), a.end(), b.begin(), b.end(), c.begin());
	return ;
}
template <typename T> inline void Concatanate(vector<T> &a, vector<T> &b, vector<T> &c) {
	int a_size = int(a.size()), b_size = int(b.size());
	c.resize(a_size + b_size);
	for (int i = 0; i < a_size; i++) c[i] = a[i];
	for (int i = 0; i < b_size; i++) c[i + a_size] = b[i];
	return ;
}

template <typename T> inline void Discrete(vector<T> &v) {sort(v); v.resize(unique(v.begin(), v.end()) - v.begin()); return ;}

template <typename T> using PQ = priority_queue<T>;
template <typename T> using PQ_R = priority_queue<T, vector<T>, greater<T>>;

template <typename T> inline T ABS(T n) {return n >= 0 ? n : -n;}
template <typename T> __attribute__((target("bmi"))) inline T gcd(T a, T b) {
	if (a < 0) a = -a;
	if (b < 0) b = -b;
	if (a == 0 || b == 0) return a + b;
	int n = __builtin_ctzll(a);
	int m = __builtin_ctzll(b);
	a >>= n;
	b >>= m;
	while (a != b) {
		int m = __builtin_ctzll(a - b);
		bool f = a > b;
		T c = f ? a : b;
		b = f ? b : a;
		a = (c - b) >> m;
	}
	return a << min(n, m);
}
template <typename T> inline T lcm(T a, T b) {return a * (b / gcd(a, b));}
template <typename T, typename... Targs> inline T gcd(T a, T b, T c, Targs... args) {return gcd(a, gcd(b, c, args...));}
template <typename T, typename... Targs> inline T lcm(T a, T b, T c, Targs... args) {return lcm(a, lcm(b, c, args...));}
template <typename T, typename... Targs> inline T min(T a, T b, T c, Targs... args) {return min(a, min(b, c, args...));}
template <typename T, typename... Targs> inline T max(T a, T b, T c, Targs... args) {return max(a, max(b, c, args...));}
template <typename T, typename... Targs> inline void chmin(T &a, T b, Targs... args) {a = min(a, b, args...); return ;}
template <typename T, typename... Targs> inline void chmax(T &a, T b, Targs... args) {a = max(a, b, args...); return ;}

vector<int> Primes(int n) {
	if (n == 1) return {};
	// 2 ~ n
	vector<int> primes;
	vector<bool> isPrime(n + 1, true);

	primes.reserve(n / __lg(n));

	for (int i = 2; i <= n; i++) {
		if (isPrime[i]) primes.push_back(i);
		for (int j : primes) {
			if (i * j > n) break;
			isPrime[i * j] = false;
			if (i % j == 0) break;
		}
	}
	return primes;
}

template <typename T> vector<T> factors(T x) {
	// maybe use factorize would be faster?
	vector<T> ans;
	for (T i = 1; i * i <= x; i++) if (x % i == 0) ans.push_back(i);

	int id = int(ans.size()) - 1;
	if (ans[id] * ans[id] == x) id--;
	for (int i = id; i >= 0; i--) ans.push_back(x / ans[i]);

	return ans;
}

int mex(vector<int> vec) {
	int n = int(vec.size());
	vector<bool> have(n, false);
	for (int i : vec) if (i < n) have[i] = true;
	for (int i = 0; i < n; i++) if (!have[i]) return i;
	return n;
}

template <typename T> T SQ(T x) {return x * x;}

template <typename T> T Mdist(pair<T, T> lhs, pair<T, T> rhs) {return ABS(lhs.first - rhs.first) + ABS(lhs.second - rhs.second);}
template <typename T> T Dist2(pair<T, T> lhs, pair<T, T> rhs) {
	return SQ(lhs.F - rhs.F) + SQ(lhs.S - rhs.S);
}

template <typename T> T LUBound(T LB, T val, T UB) {return min(max(LB, val), UB);}

template <typename T, typename Comp> T Binary_Search(T L, T R, Comp f) {
	// L good R bad
	static_assert(is_integral<T>::value, "Binary_Search requires an integral type");
	while (R - L > 1) {
		T mid = (L + R) >> 1;
		if (f(mid)) L = mid;
		else R = mid;
	}
	return L;
}

template <typename Comp> double Binary_Search(double L, double R, Comp f, int n = 30) {
	for (int i = 1; i <= n; i++) {
		double mid = (L + R) / 2;
		if (f(mid)) L = mid;
		else R = mid;
	}
	return L;
}

template <typename T> T nearest(set<T> &se, T val) {
	static constexpr T kInf = numeric_limits<T>::max() / 2 - 10;

	if (se.empty()) return kInf;
	else if (val <= *se.begin()) return *se.begin() - val;
	else if (val >= *prev(se.end())) return val - *prev(se.end());
	else {
		auto u = se.lower_bound(val);
		auto v = prev(u);
		return min(*u - val, val - *v);
	}
}

namespace MR32 {
	using ull = unsigned long long int;
	using uint = unsigned int;
	ull PowMod(ull a, ull b, ull kMod) {
		ull ans = 1;
		for (; b; b >>= 1, a = a * a % kMod) if (b & 1) ans = ans * a % kMod;
		return ans;
	}

	bool IsPrime(uint x) {
		static constexpr bool low[8] = {false, false, true, true, false, true, false, true};
		static constexpr uint as = 3, a[3] = {2, 7, 61};
		if (x < 8) return low[x];

		uint t = x - 1;
		int r = 0;
		while ((t & 1) == 0) {
			t >>= 1;
			r++;
		}
		for (uint i = 0; i < as; i++) if (a[i] <= x - 2) {
			bool ok = false;
			ull tt = PowMod(a[i], t, x);
			if (tt == 1) continue;
			for (int j = 0; j < r; j++, tt = tt * tt % x) if (tt == x - 1) {
				ok = true;
				break;
			}
			if (!ok) return false;
		}
		return true;
	}
}

#ifdef __SIZEOF_INT128__
namespace MR64 {
	using uint128 = unsigned __int128;
	using ull = unsigned long long int;
	using uint = unsigned int;
	uint128 PowMod(uint128 a, uint128 b, uint128 kMod) {
		uint128 ans = 1;
		for (; b; b >>= 1, a = a * a % kMod) if (b & 1) ans = ans * a % kMod;
		return ans;
	}

	bool IsPrime(ull x) {
		static constexpr bool low[8] = {false, false, true, true, false, true, false, true};
		static constexpr uint as = 7, a[7] = {2, 325, 9375, 28178, 450775, 9780504, 1795265022};
		if (x < 8) return low[x];
		ull t = x - 1;
		int r = 0;
		while ((t & 1) == 0) {
			t >>= 1;
			r++;
		}
		for (uint i = 0; i < as; i++) if (a[i] <= x - 2) {
			bool ok = false;
			uint128 tt = PowMod(a[i], t, x);
			if (tt == 1) continue;
			for (int j = 0; j < r; j++, tt = tt * tt % x) if (tt == x - 1) {
				ok = true;
				break;
			}
			if (!ok) return false;
		}
		return true;
	}
}
#endif

bool IsPrime(unsigned long long int x) {
#ifdef __SIZEOF_INT128__
	if ((x >> 32) == 0) return MR32::IsPrime(x);
	else return MR64::IsPrime(x);
#endif
	return MR32::IsPrime(x);
}

#ifdef __SIZEOF_INT128__
uint64_t PollardRho(uint64_t x) {
	static mt19937 rng;
	if (!(x & 1)) return 2;
	if (IsPrime(x)) return x;
  int64_t a = rng() % (x - 2) + 2, b = a;
  uint64_t c = rng() % (x - 1) + 1, d = 1;
  while (d == 1) {
    a = (__int128(a) * a + c) % x;
    b = (__int128(b) * b + c) % x;
    b = (__int128(b) * b + c) % x;
    d = __gcd(uint64_t(abs(a - b)), x);
    if (d == x) return PollardRho(x);
  }
  return d;
}
#endif

template <typename T> vector<T> factorize(T x) {
	if (x <= 1) return {};
	T p = PollardRho(x);
	if (p == x) return {x};
	vector<T> ans, lhs = factorize(p), rhs = factorize(x / p);
	Merge(lhs, rhs, ans);
	return ans;
}

template <typename T> vector<pair<T, int>> Compress(vector<T> vec) {
	// vec must me sorted
	if (vec.empty()) return {};

	vector<pair<T, int>> ans;
	int cnt = 1, sz = int(vec.size());
	T lst = vec[0];
	for (int i = 1; i < sz; i++) {
		if (lst != vec[i]) {
			ans.push_back(make_pair(lst, cnt));
			lst = vec[i];
			cnt = 1;
		}
		else cnt++;
	}
	ans.push_back(make_pair(lst, cnt));
	return ans;
}
// End of C:\Users\ianli\Desktop\CP\template\Various\Useful_Functions\Useful_Functions.cpp

// Included from C:\Users\ianli\Desktop\CP\template\Various\Debug\Debug.cpp
template <typename T> void _print(vector<T> v) ;
void _print(bool x) {printf("%d", x ? 1 : 0);}
void _print(char x) {printf("%c", x);}
void _print(short x) {printf("%hd", x);}
void _print(unsigned short x) {printf("%hu", x);}
void _print(int x) {printf("%d", x);}
void _print(unsigned int x) {printf("%u", x);}
void _print(long long int x) {printf("%lld", x);}
void _print(unsigned long long int x) {printf("%llu", x);}
void _print(float x) {printf("%f", x);}
void _print(double x) {printf("%lf", x);}
void _print(long double x) {printf("%Lf", x);}
template <size_t _size> void _print(bitset<_size> bs) {for (int i = 0; i < _size; i++) printf("%d", bs[i] ? 1 : 0);}
#ifdef __SIZEOF_INT128__
void _print(__int128 x) {
	if (x < 0) {
		printf("-");
		x = -x;
	}
	if (x == 0) printf("0");
	else {
		static int val[100];
		int idx = -1;
		while (x) {
			val[++idx] = x % 10;
			x /= 10;
		}
		while (idx >= 0) printf("%d", val[idx--]);
	}
}
void _print(unsigned __int128 x) {
	if (x < 0) {
		printf("-");
		x = -x;
	}
	if (x == 0) printf("0");
	else {
		static int val[100];
		int idx = -1;
		while (x) {
			val[++idx] = x % 10;
			x /= 10;
		}
		while (idx >= 0) printf("%d", val[idx--]);
	}
}
#endif
template <typename T1, typename T2> void _print(pair<T1, T2> x) {printf("("); _print(x.first); printf(", "); _print(x.second); printf(")");}
template <typename T1, typename T2, typename T3> void _print(tuple<T1, T2, T3> x) {printf("("); _print(get<0>(x)); printf(", "); _print(get<1>(x)); printf(", "); _print(get<2>(x)); printf(")");}
template <typename T> void _print(vector<T> v) {
	if (v.empty()) printf(" empty");
	else {
		bool first = true;
		for (T i : v) {
			if (first) first = false;
			else printf(", ");
			_print(i);
		}
	}
}
template <typename T> void _print(set<T> s) {
	if (s.empty()) printf(" empty");
	else {
		bool first = true;
		for (T i : s) {
			if (first) first = false;
			else printf(", ");
			_print(i);
		}
	}
}
template <typename T> void _print(stack<T> s) {
	if (s.empty()) printf(" empty");
	else {
		_print(s.top()); s.pop();
		while (!s.empty()) {printf(", "); _print(s.top()); s.pop();}
	}
}
template <typename T> void _print(queue<T> q) {
	if (q.empty()) printf(" empty");
	else {
		_print(q.front()); q.pop();
		while (!q.empty()) {printf(", "); _print(q.front()); q.pop();}
	}
}
template <typename T> void _print(deque<T> dq) {
	if (dq.empty()) printf(" empty");
	else {
		_print(dq.front()); dq.pop_front();
		while (!dq.empty()) {printf(", "); _print(dq.front()); dq.pop_front();}
	}
}
template <typename T1, typename T2, typename T3> void _print(priority_queue<T1, T2, T3> pq) {
	if (pq.empty()) printf(" empty");
	else {
		_print(pq.top()); pq.pop();
		while (!pq.empty()) {printf(", "); _print(pq.top()); pq.pop();}
	}
}
template <typename T1, typename T2> void _print(map<T1, T2> m) {
	if (m.empty()) printf(" empty");
	else {
		bool first = true;
		for (pair<T1, T2> i : m) {
			if (first) first = false;
			else printf(", ");
			_print(i);
		}
	}
}

template <typename T> void _print(T x) {return x.out();}
template <typename T, typename... Targs> void _print(T x, Targs... Fargs) {_print(x); printf(", "); _print(Fargs...);}
// End of C:\Users\ianli\Desktop\CP\template\Various\Debug\Debug.cpp

// Included from C:\Users\ianli\Desktop\CP\template\Graph\Bipartite_Matching\bipartite_matching.cpp
// Test Source : ARC092 A
// kN = #(left vertices), kM = #(right vertices)
// AddEdge(left_vertex, right_vertex)
// MaxMatch() -> matchx, matchy
// 0-based

struct Bipartite_Matching {
	struct Edge {
		int ed, next;
		Edge(int a, int b) {ed = a, next = b;}
	};
	vector<Edge> edge;
	int *head, *disx, *disy, *matchx, *matchy;
	// Because vector<bool> is faster
	vector<bool> vis;
	int bfs_dis, x_size, y_size;

	void init(int n, int m) {
		x_size = n, y_size = m;
		edge.clear();
		delete [] head; head = new int[x_size];
		delete [] disx; disx = new int[x_size];
		delete [] disy; disy = new int[y_size];
		delete [] matchx; matchx = new int[x_size];
		delete [] matchy; matchy = new int[y_size];
		vis.clear(); vis.resize(y_size);
		memset(head, -1, sizeof(int) * x_size);
		return ;
	}

	void AddEdge(int a, int b) {
		edge.push_back(Edge(b, head[a]));
		head[a] = int(edge.size()) - 1;
		return ;
	}

	bool Bfs() {
		queue<int> que;
		bfs_dis = x_size << 1;
		memset(disx, -1, sizeof(int) * x_size);
		memset(disy, -1, sizeof(int) * y_size);

		for (int i = 0; i < x_size; ++i) if (matchx[i] < 0) {
			disx[i] = 0;
			que.push(i);
		}

		while (!que.empty()) {
			int x = que.front();
			que.pop();
			if (disx[x] > bfs_dis) break;
			for (int i = head[x]; i >= 0; i = edge[i].next) {
				int y = edge[i].ed;
				if (disy[y] < 0) {
					disy[y] = disx[x] + 1;
					if (matchy[y] < 0) bfs_dis = disy[y];
					else {
						disx[matchy[y]] = disy[y] + 1;
						que.push(matchy[y]);
					}
				}
			}
		}

		return bfs_dis < (x_size << 1);
	}

	bool Dfs(int x) {
		for (int i = head[x]; i >= 0; i = edge[i].next) {
			int y = edge[i].ed;
			if (!vis[y] && disy[y] == disx[x] + 1) {
				vis[y] = true;
				if (matchy[y] >= 0 && disy[y] == bfs_dis) continue;
				if (matchy[y] < 0 || Dfs(matchy[y])) {
					matchx[x] = y;
					matchy[y] = x;
					return true;
				}
			}
		}
		return false;
	}

	int MaxMatch() {
		int ret = 0;
		memset(matchx, -1, sizeof(int) * x_size);
		memset(matchy, -1, sizeof(int) * y_size);
		while (Bfs()) {
			fill(vis.begin(), vis.end(), false);
			for (int i = 0; i < x_size; ++i) if (matchx[i] < 0 && Dfs(i)) ++ret;
		}
		return ret;
	}

	int operator ()() {return MaxMatch();}
};
// End of C:\Users\ianli\Desktop\CP\template\Graph\Bipartite_Matching\bipartite_matching.cpp

int x[kM], y[kM], z[kM];
vector<int> edges[kC], gx[kN], gy[kN];
Bipartite_Matching bm;
ll val[kC];
bitset<kN> alivex, alivey, went;

int main() {
	int n, m, k, l; RP(n, m, k, l);
	RLP(l, x, y, z);

	for (int i = 1; i <= l; i++) edges[z[i]].PB(i);
	alivex.set(); alivey.set();

	int lst = 0;
	vector<int> previous_edges;
	for (int i = k; i >= 0; i--) {
		for (int j : edges[i]) if (alivex[x[j]] && alivey[y[j]]) previous_edges.PB(j);

		for (int j = 1; j <= n; j++) gx[j].clear();
		for (int j = 1; j <= m; j++) gy[j].clear();
		for (int j : previous_edges) {
			gx[x[j]].PB(y[j]);
			gy[y[j]].PB(x[j]);
		}

		bm.init(n + 1, m + 1);
		for (int j : previous_edges) bm.AddEdge(x[j], y[j]);

		val[i] = bm() - lst;
		lst += val[i];

		queue<int> qu;
		
		went.reset();
		for (int j = 1; j <= n; j++) if (bm.matchx[j] < 0) {
			went[j] = true;
			qu.push(j);
		}

		while (!qu.empty()) {
			int id = qu.front(); qu.pop();

			for (int j : gx[id]) if (!went[bm.matchy[j]]) {
				went[bm.matchy[j]] = true;
				qu.push(bm.matchy[j]);
			}
		}
		
		alivex &= went;
		
		went.reset();
		for (int j = 1; j <= m; j++) if (bm.matchy[j] < 0) {
			went[j] = true;
			qu.push(j);
		}

		while (!qu.empty()) {
			int id = qu.front(); qu.pop();

			for (int j : gy[id]) if (!went[bm.matchx[j]]) {
				went[bm.matchx[j]] = true;
				qu.push(bm.matchx[j]);
			}
		}

		alivey &= went;
	}

	ll ans = 0;
	for (int i = 0; i <= k; i++) ans += val[i] << i;
	printf("%lld\n", ans);
}
// End of AC.cpp
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