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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#434829#8770. Comparatormendicillin2#AC ✓180ms9076kbC++204.1kb2024-06-08 17:34:542024-06-08 17:35:01

Judging History

你现在查看的是最新测评结果

  • [2024-06-08 17:35:01]
  • 评测
  • 测评结果:AC
  • 用时:180ms
  • 内存:9076kb
  • [2024-06-08 17:34:54]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;

template <class T> using V = vector<T>;
template <class T> using VV = V<V<T>>;

int get_priority(char c) {
	if (c == '(') {
		return 0;
	} else if (c == '!') {
		return 5;
	} else if (c == '=') {
		return 4;
	} else if (c == '&') {
		return 3;
	} else if (c == '|') {
		return 2;
	} else if (c == '^') {
		return 1;
	} else {
		return 6;
	}
}

bool is_operand(char c) {
	const string OPR = "01xy";
	return OPR.find(c) != string::npos;
}

bool is_operator(char c) {
	const string OP = "!=&|^";
	return OP.find(c) != string::npos;
}

int evaluate(string expr, int x, int y) {
	string suf_expr;
	{
		V<char> stk;
		for (char c : expr) {
			if (is_operand(c) || c == '(') {
				stk.push_back(c);
			} else if (c == ')') {
				while (true) {
					assert(!stk.empty());
					char b = stk.back();
					stk.pop_back();
					if (b == '(') break;
					suf_expr.push_back(b);
				}
			} else {
				assert(is_operator(c));
				// Operator
				while (true) {
					if (stk.empty()) break;
					char b = stk.back();
					if (get_priority(c) >= get_priority(b)) break;
					suf_expr += b;
					stk.pop_back();
				}
				stk.push_back(c);
			}
		}
		while (true) {
			if (stk.empty()) break;
			suf_expr.push_back(stk.back());
			stk.pop_back();
		}
	}

	V<int> stk;
	for (char c : suf_expr) {
		if (c == '0') {
			stk.push_back(0);
		} else if (c == '1') {
			stk.push_back(1);
		} else if (c == 'x') {
			stk.push_back(x);
		} else if (c == 'y') {
			stk.push_back(y);
		} else if (c == '!') {
			assert(!stk.empty());
			// Negate
			stk.back() ^= 1;
		} else {
			// Binary operators
			assert(stk.size() >= 2);
			int a = stk.back(); stk.pop_back();
			int b = stk.back(); stk.pop_back();
			int result;
			if (c == '=') {
				result = (a == b);
			} else if (c == '&') {
				result = (a & b);
			} else if (c == '|') {
				result = (a | b);
			} else if (c == '^') {
				result = (a ^ b);
			} else assert(false);
			stk.push_back(result);
		}
	}
	assert(stk.size() == 1);
	return stk[0];
}

const int MAXK = 10;
using Bitset = bitset<1 << MAXK>;

int main() {
	ios::sync_with_stdio(false), cin.tie(nullptr);

	{
		for (int x = 0; x < 2; x++) {
			for (int y = 0; y < 2; y++) {
				assert(evaluate("(x=0)&(y=1)", x, y) == ((x==0)&&(y==1)));
				assert(evaluate("(x=1)&(y=(x^x))", x, y) == ((x==1)&&(y==(x^x))));
				assert(evaluate("(x=1)|(y=0)", x, y) == ((x==1)||(y==0)));
				assert(evaluate("x=0&(y=1)", x, y) == ((x==0)&&(y==1)));
				assert(evaluate("!x^!!y", x, y) == ((!x)^y));
				assert(evaluate("((x|1)=y)&1&1", x, y) == y);
				assert(evaluate("!x&!x&!x", x, y) == (!x));
			}
		}
	}

	int N, K;
	cin >> N >> K;

	using Input = array<int, 4>;
	auto encode = [&](int a, int b, int x, int y) -> int {
		assert(0 <= a && a < MAXK);
		assert(0 <= b && b < MAXK);
		return a * (MAXK * 2 * 2)
			 + b * (2 * 2)
			 + x * 2
			 + y;
	};
	V<bool> seen(MAXK * MAXK * 2 * 2);
	V<pair<Input, int>> interesting;
	for (int i = 0; i < N; i++) {
		int a, b, r;
		string expr;
		cin >> a >> b >> expr >> r;
		a--, b--;

		for (int x = 0; x < 2; x++) {
			for (int y = 0; y < 2; y++) {
				if (evaluate(expr, x, y) == 1) {
					int e = encode(a, b, x, y);
					if (!seen[e]) {
						seen[e] = true;
						interesting.emplace_back(Input{a, b, x, y}, r);
					}
				}
			}
		}
	}

	int R_except;
	cin >> R_except;

	auto F = [&](int x, int y) -> int {
		for (auto [inp, r] : interesting) {
			if (((x >> inp[0]) & 1) == inp[2] && ((y >> inp[1]) & 1) == inp[3]) {
				return r;
			}
		}
		return R_except;
	};

	V<Bitset> fxy(1 << K);
	V<Bitset> fyx(1 << K);
	for (int x = 0; x < (1 << K); x++) {
		for (int y = 0; y < (1 << K); y++) {
			int result = F(x, y);
			fxy[x][y] = fyx[y][x] = result;
		}
	}

	array<int, 3> ans{};
	for (int x = 0; x < (1 << K); x++) {
		if (fxy[x][x]) ans[0]++;
	}
	for (int x = 0; x < (1 << K); x++) {
		for (int y = 0; y < (1 << K); y++) {
			if (fxy[x][y] && fxy[y][x]) ans[1]++;
		}
	}
	for (int x = 0; x < (1 << K); x++) {
		for (int z = 0; z < (1 << K); z++) {
			if (!fxy[x][z]) {
				ans[2] += int((fxy[x] & fyx[z]).count());
			}
		}
	}

	cout << ans[0] << ' ' << ans[1] << ' ' << ans[2] << '\n';

	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3592kb

input:

3 2
1 1 (x=0)&(y=1) 1
1 1 (x=1)&(y=(x^x)) 0
2 2 (x=1)|(y=0) 0
1

output:

0 0 0

result:

ok single line: '0 0 0'

Test #2:

score: 0
Accepted
time: 0ms
memory: 3624kb

input:

4 3
2 1 x=0&(y=1) 1
1 2 !x^!!y 0
2 3 ((x|1)=y)&1&1 1
3 1 !x&!x&!x 0
1

output:

3 25 52

result:

ok single line: '3 25 52'

Test #3:

score: 0
Accepted
time: 90ms
memory: 3644kb

input:

1413 3
1 3 0 0
3 3 !x 0
2 2 x=0 1
1 2 !y^0 1
2 3 (x^1) 0
3 2 ((!0)) 1
1 1 !!1=(y) 0
2 2 !(1^x)&y 1
3 2 (y)&1|!!1 0
3 1 !x=(y&y=y) 0
2 1 (((!1)^!x)) 1
2 3 !0=(0&y)=1&y 0
1 2 ((((!0)))|!1) 0
3 1 !(y=!1=x|(!x)) 0
1 1 ((((y=!y)))&!0) 0
2 3 ((y=1)^!1^!!1|0) 1
2 3 1|(!x)&!x|1|(x=1) 1
2 3 !0^!!!!y&0=(!1&!0...

output:

4 16 0

result:

ok single line: '4 16 0'

Test #4:

score: 0
Accepted
time: 164ms
memory: 3596kb

input:

181737 10
5 2 1 1
1 10 !1=!x 0
10 1 (1^x) 0
2 4 !1 1
10 8 y=(!1)^1 1
6 2 !((x&!x)) 1
1 10 !!((!x)|x) 1
7 10 (((0))) 0
7 3 !(1)^!x 0
10 4 (!1)&x 0
7 7 !y&!0 1
8 8 !1=(x)|1^1 1
2 6 ((!!!x)) 0
7 2 1 1
2 2 y=1=0 0
6 3 (!0) 0
6 4 0 0
1 1 (!1) 1
1 8 y 1
3 5 !x|!x^!1 0
4 7 (!0) 0
3 4 !1&1&!1|!0 1
2 7 ((0|1...

output:

1024 1048576 0

result:

ok single line: '1024 1048576 0'

Test #5:

score: 0
Accepted
time: 94ms
memory: 9076kb

input:

1 3
1 1 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!...

output:

4 16 0

result:

ok single line: '4 16 0'

Test #6:

score: 0
Accepted
time: 0ms
memory: 3592kb

input:

1 1
1 1 x^y|1 0
1

output:

1 1 0

result:

ok single line: '1 1 0'

Test #7:

score: 0
Accepted
time: 0ms
memory: 3508kb

input:

1 1
1 1 x&y|1 0
1

output:

0 0 0

result:

ok single line: '0 0 0'

Test #8:

score: 0
Accepted
time: 0ms
memory: 3872kb

input:

1 1
1 1 x=y|1 0
1

output:

0 0 0

result:

ok single line: '0 0 0'

Test #9:

score: 0
Accepted
time: 0ms
memory: 3824kb

input:

2 2
1 2 !x&!y 1
1 1 !x&y 0
1

output:

4 12 2

result:

ok single line: '4 12 2'

Test #10:

score: 0
Accepted
time: 62ms
memory: 3932kb

input:

2 10
9 8 ((((!((!x=1))^(!1&(x|x|!y))&((!y&!x=(x=y)))&!((((x=1))&(0=(y))^(!!(!!x^1=x)&(x)^y&1=!x&1=(((!0^(1)^1))^!(((((y))|x|!y))))^!!0=!y&(0)|(y=x&!y&y=x)))=((((!!y&!!0|!0^!0)=!x))))^0&(((!1=!(!x)))|(((((x=1|!y|y)=(!1^1^0^(0)))=!0^1)))=(!(!1^(((((!1)^!x^0))))=(1)^((((y=((x))|(0)|(!1^1)))|(!!!y))=((!...

output:

0 0 0

result:

ok single line: '0 0 0'

Test #11:

score: 0
Accepted
time: 0ms
memory: 3620kb

input:

4 3
1 1 !!!!!!x 0
2 1 !!y 1
1 2 !!!!!x 1
2 2 !!!x 0
1

output:

4 16 0

result:

ok single line: '4 16 0'

Test #12:

score: 0
Accepted
time: 8ms
memory: 3988kb

input:

1 1
1 1 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((...

output:

1 1 0

result:

ok single line: '1 1 0'

Test #13:

score: 0
Accepted
time: 180ms
memory: 3516kb

input:

200000 10
3 10 !x^!y 1
3 10 !x^!y 1
3 10 !x^!y 1
3 10 !x^!y 1
3 10 !x^!y 1
3 10 !x^!y 1
3 10 !x^!y 1
3 10 !x^!y 1
3 10 !x^!y 1
3 10 !x^!y 1
3 10 !x^!y 1
3 10 !x^!y 1
3 10 !x^!y 1
3 10 !x^!y 1
3 10 !x^!y 1
3 10 !x^!y 1
3 10 !x^!y 1
3 10 !x^!y 1
3 10 !x^!y 1
3 10 !x^!y 1
3 10 !x^!y 1
3 10 !x^!y 1
3 10...

output:

512 262144 134217728

result:

ok single line: '512 262144 134217728'

Test #14:

score: 0
Accepted
time: 0ms
memory: 3596kb

input:

10 3
3 1 (!x) 1
3 2 !1&x&1&!y 1
2 1 ((x)&y) 1
1 3 0 0
2 2 !1&0=y&0 1
3 3 (!y)^y 1
2 1 0|((!y)) 0
3 2 x 0
2 2 (y|1^x) 0
2 1 ((!0)|y) 0
1

output:

8 64 0

result:

ok single line: '8 64 0'

Test #15:

score: 0
Accepted
time: 0ms
memory: 3524kb

input:

0 3
1

output:

8 64 0

result:

ok single line: '8 64 0'