QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#435443#8770. Comparatorucup-team3691AC ✓101ms43504kbC++175.7kb2024-06-08 20:08:582024-06-08 20:08:59

Judging History

你现在查看的是最新测评结果

  • [2024-06-08 20:08:59]
  • 评测
  • 测评结果:AC
  • 用时:101ms
  • 内存:43504kb
  • [2024-06-08 20:08:58]
  • 提交

answer

#include <bits/stdc++.h>

using namespace std;

/* Function definitions */
bool eval(const string& expr, const int& x, const int& y);
bool evalTerm(const string& expr, int& ptr, const int& x, const int& y);
bool evalXor(const string& expr, int& ptr, const int& x, const int& y);
bool evalOr(const string& expr, int& ptr, const int& x, const int& y);
bool evalAnd(const string& expr, int& ptr, const int& x, const int& y);
bool evalEq(const string& expr, int& ptr, const int& x, const int& y);

bool evalTerm(const string& expr, int& ptr, const int& x, const int& y) {
	if(expr[ptr] == '!') {
		ptr++;
		bool a = evalTerm(expr, ptr, x, y);
		return !a;
	}

	if(expr[ptr] == '(') {
		ptr++;
		bool a = evalXor(expr, ptr, x, y);
		// cerr << "A: " << a << endl;
		// cerr << x << " " << y << " " << expr << " " << ptr << endl;
		assert(expr[ptr++] == ')');
		return a;
	}

	if(expr[ptr] == 'x') { ptr++; return x; }
	if(expr[ptr] == 'y') { ptr++; return y; }
	if(expr[ptr] == '0') { ptr++; return 0; }
	if(expr[ptr] == '1') { ptr++; return 1; }

	// cerr << x << " " << y << " " << expr << " " << ptr << endl;
	assert(false);
}

bool evalXor(const string& expr, int& ptr, const int& x, const int& y) {
	bool ret = evalOr(expr, ptr, x, y);

	while(expr[ptr] == '^') {
		ptr++;
		ret ^= evalOr(expr, ptr, x, y);
	}

	return ret;
}

bool evalOr(const string& expr, int& ptr, const int& x, const int& y) {
	bool ret = evalAnd(expr, ptr, x, y);

	while(expr[ptr] == '|') {
		ptr++;
		ret |= evalAnd(expr, ptr, x, y);
	}

	return ret;
}

bool evalAnd(const string& expr, int& ptr, const int& x, const int& y) {
	bool ret = evalEq(expr, ptr, x, y);

	while(expr[ptr] == '&') {
		ptr++;
		ret &= evalEq(expr, ptr, x, y);
	}

	return ret;
}

bool evalEq(const string& expr, int& ptr, const int& x, const int& y) {
	bool ret = evalTerm(expr, ptr, x, y);

	while(expr[ptr] == '=') {
		ptr++;
		ret = (ret == evalTerm(expr, ptr, x, y));
	}

	return ret;
}

bool eval(const string& expr, const int& x, const int &y) {
	string to_eval = "(" + expr + ")";
	int ptr = 0;

	return evalTerm(to_eval, ptr, x, y);
}

struct rule {
	int x, y;
	int truth[2][2];
	int ret;
};

rule read_rule() {
	int x, y; string expr; int ret;
	cin >> x >> y >> expr >> ret;

	rule r;
	r.x = x; r.y = y;
	r.ret = ret;

	r.truth[0][0] = eval(expr, 0, 0);
	r.truth[0][1] = eval(expr, 0, 1);
	r.truth[1][0] = eval(expr, 1, 0);
	r.truth[1][1] = eval(expr, 1, 1);

	/* cerr << "Rule: " << x << " " << y << " " << expr << " " << ret << endl;
	cerr << 0 << " " << 0 << " " << eval(expr, 0, 0) << endl;
	cerr << 0 << " " << 1 << " " << eval(expr, 0, 1) << endl;
	cerr << 1 << " " << 0 << " " << eval(expr, 1, 0) << endl;
	cerr << 1 << " " << 1 << " " << eval(expr, 1, 1) << endl; */

	return r;
}

pair<int, vector<rule>> read_rules() {
	int n, k; cin >> n >> k;
	vector<rule> rules;
	for(int i = 0; i < n; i++) {
		rules.push_back(read_rule());
	}

	int final_ret; cin >> final_ret;
	rule final_rule;
	final_rule.x = 1; final_rule.y = 1;
	final_rule.ret = final_ret;
	final_rule.truth[0][0] = final_rule.truth[0][1] = final_rule.truth[1][0] = final_rule.truth[1][1] = true;
	rules.push_back(final_rule);

	return {k, rules};
}

const int kmax = 10;
bitset<(1 << kmax)> f[(1 << kmax)];
bitset<(1 << kmax)> ftrans[(1 << kmax)];

void fill_by_mask(vector<int>& mask_a, vector<int>& mask_b, int ret, int bit_index = 0, int a = 0, int b = 0) {
	if(bit_index == mask_a.size()) {
		f[a][b] = ret;
		ftrans[b][a] = ret;
		return;
	}

	int ab = mask_a[bit_index];
	int bb = mask_b[bit_index];
	
	for(int i = 0; i <= 1; i++) {
		for(int j = 0; j <= 1; j++) {
			if(mask_a[bit_index] != -1 && mask_a[bit_index] != i) continue;
			if(mask_b[bit_index] != -1 && mask_b[bit_index] != j) continue;

			mask_a[bit_index] = i;
			mask_b[bit_index] = j;

			fill_by_mask(mask_a, mask_b, ret, bit_index + 1, a + (i << bit_index), b + (j << bit_index));

			mask_a[bit_index] = ab;
			mask_b[bit_index] = bb;
		}
	}

	mask_a[bit_index] = ab;
	mask_b[bit_index] = bb;
}

void fill_f(vector<int>& mask_a, vector<int>& mask_b, const vector<rule>& rules, int cnt_rule) {
	// cerr << rules.size() << " " << cnt_rule << endl;
	// this_thread::sleep_for(0.3s);
	auto r = rules[cnt_rule];

	int x = r.x;
	int y = r.y;

	int ax = mask_a[x - 1];
	int by = mask_b[y - 1];

	for(int i = 0; i <= 1; i++) {
		for(int j = 0; j <= 1; j++) {
			if(ax != -1 && ax != i) continue;
			if(by != -1 && by != j) continue;

			if(r.truth[i][j] == true) {

				mask_a[x - 1] = i;
				mask_b[y - 1] = j;

				fill_by_mask(mask_a, mask_b, r.ret);
			}
			else {
				mask_a[x - 1] = i;
				mask_b[y - 1] = j;

				fill_f(mask_a, mask_b, rules, cnt_rule + 1);
			}

			mask_a[x - 1] = ax;
			mask_b[y - 1] = by;
		}
	}

	mask_a[x - 1] = ax;
	mask_b[y - 1] = by;
}

int main() {
	ios_base::sync_with_stdio(false);
	cin.tie(0); cout.tie(0);

	auto [k, rules] = read_rules();

	vector<int> mask_a(k, -1), mask_b(k, -1);

	fill_f(mask_a, mask_b, rules, 0);

	/* for(int i = 0; i < (1 << k); i++) {
		for(int j = 0; j < (1 << k); j++) {
			cout << bitset<10>(i) << " " << bitset<10>(j) << " " << f[i][j] << endl;
		}
		cout << endl;
	} */

	int refl = 0;
	for(int x = 0; x < (1 << k); x++) {
		if(f[x][x] == 1) refl++;
	}

	int symm = 0;
	for(int x = 0; x < (1 << k); x++) {
		for(int y = 0; y < (1 << k); y++) {
			if(f[x][y] == 1) symm += (f[y][x] == 1);
		}
	}

	int tran = 0;
	for(int x = 0; x < (1 << k); x++) {
		for(int z = 0; z < (1 << k); z++) {
			if(f[x][z] == 0) {
				bitset<(1 << kmax)> b;
				b = f[x] & ftrans[z];
				tran += b.count();
			}
		}
	}

	cout << refl << " " << symm << " " << tran << endl;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3664kb

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: 3664kb

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: 30ms
memory: 3744kb

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: 84ms
memory: 13364kb

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: 52ms
memory: 37220kb

input:

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

output:

4 16 0

result:

ok single line: '4 16 0'

Test #6:

score: 0
Accepted
time: 0ms
memory: 3588kb

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: 3856kb

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: 3636kb

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: 3568kb

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: 63ms
memory: 4252kb

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: 3568kb

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: 20ms
memory: 30584kb

input:

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

output:

1 1 0

result:

ok single line: '1 1 0'

Test #13:

score: 0
Accepted
time: 101ms
memory: 43504kb

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: 3620kb

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: 3632kb

input:

0 3
1

output:

8 64 0

result:

ok single line: '8 64 0'