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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#676498#8782. Schoolgirlsucup-team5062#WA 3ms3776kbC++173.3kb2024-10-25 21:50:352024-10-25 21:50:36

Judging History

你现在查看的是最新测评结果

  • [2024-10-25 21:50:36]
  • 评测
  • 测评结果:WA
  • 用时:3ms
  • 内存:3776kb
  • [2024-10-25 21:50:35]
  • 提交

answer

#include <random>
#include <vector>
#include <iostream>
#include <algorithm>
using namespace std;

mt19937_64 mt(1);

int MOD;

class modint {
private:
	int x;
public:
	modint() : x(0) {}
	modint(long long x_) : x(x_ >= 0 ? x_ % MOD : (x_ + 1) % MOD + (MOD - 1)) {}
	int get() const { return x; }
	modint& operator+=(const modint& m) { x = (x + m.x) % MOD; return *this; }
	modint& operator-=(const modint& m) { x = (x - m.x + MOD) % MOD; return *this; }
	modint& operator*=(const modint& m) { x = 1LL * x * m.x % MOD; return *this; }
	modint operator+(const modint& m) const { return modint(*this) += m; }
	modint operator-(const modint& m) const { return modint(*this) -= m; }
	modint operator*(const modint& m) const { return modint(*this) *= m; }
	modint pow(long long b) const {
		modint res(1), a(*this);
		while (b) {
			if (b & 1) {
				res *= a;
			}
			a *= a;
			b >>= 1;
		}
		return res;
	}
	modint inv() const {
		return pow(MOD - 2);
	}
};

bool isprime(long long x) {
	if (x <= 1) {
		return false;
	}
	for (int i = 2; 1LL * i * i <= x; i++) {
		if (x % i == 0) {
			return false;
		}
	}
	return true;
}

string to_string(const vector<int>& arr) {
	string res = "[";
	for (int i = 0; i < int(arr.size()); i++) {
		if (i != 0) {
			res += ", ";
		}
		res += to_string(arr[i]);
	}
	res += "]";
	return res;
}

int main() {
	// step #1. input
	cin.tie(nullptr);
	ios::sync_with_stdio(false);
	int N, M, Q;
	cin >> N >> M >> Q;
	vector<int> A(N + M, -1), B(N + M, -1), C(N + M, -1);
	for (int i = N; i < N + M; i++) {
		cin >> A[i] >> B[i] >> C[i];
		A[i]--;
		B[i]--;
		C[i]--;
	}
	vector<int> R(Q);
	vector<vector<int> > P(Q);
	for (int i = 0; i < Q; i++) {
		cin >> R[i];
		P[i].resize(R[i]);
		for (int j = 0; j < R[i]; j++) {
			cin >> P[i][j];
			P[i][j]--;
		}
	}

	// step #2. decide prime
	do {
		MOD = 2 * N * (mt() % (1000000000 / (2 * N))) + 1;
	} while (!isprime(MOD));
	
	// step #3. decide root
	vector<int> pdiv;
	for (int i = 2; 1LL * i * i <= MOD - 1; i++) {
		if ((MOD - 1) % i == 0) {
			if (isprime(i)) {
				pdiv.push_back(i);
			}
			if (isprime((MOD - 1) / i)) {
				pdiv.push_back((MOD - 1) / i);
			}
		}
	}
	sort(pdiv.begin(), pdiv.end());
	modint root;
	while (true) {
		root = mt() % (MOD - 1) + 1;
		bool f = true;
		for (int i : pdiv) {
			if (modint(root).pow((MOD - 1) / i).get() == 1) {
				f = false;
				break;
			}
		}
		if (f) {
			break;
		}
	}
	modint gen = root.pow((MOD - 1) / (2 * N));

	// step #4. initialize
	vector<modint> h(N + M);
	for (int i = 0; i < N; i++) {
		h[i] = gen.pow(i * 2);
	}
	
	// step #5. simulation
	for (int i = N; i < N + M; i++) {
		h[i] = h[A[i]] + h[C[i]] - h[B[i]];
	}

	// step #6. calculation
	for (int i = 0; i < Q; i++) {
		if ((2 * N) % R[i] != 0) {
			cout << "No\n";
		} else {
			modint center = 0;
			for (int j = 0; j < R[i]; j++) {
				center += h[P[i][j]];
			}
			center *= modint(R[i]).inv();
			vector<int> q1(R[i]), q2(R[i]);
			for (int j = 0; j < R[i]; j++) {
				q1[j] = ((h[P[i][0]] - center) * gen.pow((2 * N) / R[i] * j) + center).get();
				q2[j] = h[P[i][j]].get();
			}
			sort(q1.begin(), q1.end());
			sort(q2.begin(), q2.end());
			cout << (q1 == q2 ? "Yes\n" : "No\n");
		}
	}

	return 0;
}

Details

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Test #1:

score: 100
Accepted
time: 1ms
memory: 3608kb

input:

3 6 8
1 2 3
3 1 4
5 4 3
3 1 2
4 5 3
4 5 2
6 4 7 6 5 1 2
3 1 3 2
3 1 1 8
4 2 5 6 7
3 2 1 4
3 6 5 9
3 4 7 9
4 1 3 2 8

output:

Yes
Yes
Yes
No
No
No
Yes
No

result:

ok 8 token(s): yes count is 4, no count is 4

Test #2:

score: 0
Accepted
time: 1ms
memory: 3488kb

input:

12 0 1
12 12 11 10 9 8 7 6 5 4 3 2 1

output:

Yes

result:

ok YES

Test #3:

score: -100
Wrong Answer
time: 3ms
memory: 3776kb

input:

3 0 6685
5 1 3 1 2 2
3 1 2 3
5 3 1 3 3 1
4 1 1 1 3
3 3 2 1
5 2 3 2 1 3
6 2 2 3 2 3 1
5 3 1 2 3 2
3 3 3 2
5 3 2 2 2 3
5 2 2 3 3 1
6 3 3 1 3 1 3
6 2 3 3 2 2 1
5 2 2 3 2 2
6 2 3 3 2 1 3
6 2 2 2 2 1 3
3 3 1 2
4 3 2 1 1
5 3 1 3 2 3
4 3 1 1 2
4 2 2 2 3
3 1 2 2
4 2 3 3 1
3 2 2 2
4 1 2 2 3
3 3 3 3
4 1 3 1 3...

output:

No
Yes
No
No
Yes
No
No
No
No
No
No
No
No
No
No
No
Yes
No
No
No
No
No
No
Yes
No
Yes
No
No
No
No
No
No
No
No
No
No
No
No
Yes
No
No
No
No
No
No
No
No
Yes
No
No
No
No
No
Yes
No
Yes
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Yes
No
No
No
No
No
No
No
No
No
No
No
No
Yes
No
No
No
No
No
N...

result:

wrong answer expected YES, found NO [107th token]