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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#88763#5827. 异或图wzh20210 0ms0kbC++143.5kb2023-03-17 07:22:332023-03-17 07:22:34

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-03-17 07:22:34]
  • 评测
  • 测评结果:0
  • 用时:0ms
  • 内存:0kb
  • [2023-03-17 07:22:33]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const int N = 20, S = 1 << 15, L = 61, P = 998244353;
ll c;
ll a[N];
int n, m, ans;
bool ed[N][N];
int f[S], g[S], h0[S];
int dp[L][S], h[N][S];
int p[N], q[N], pw2[N];
#define popc __builtin_popcount
int pls(int x, int y) {
	return x + y < P ? x + y : x + y - P;
}
int sub(int x, int y) {
	return x < y ? x + P - y : x - y;
}
void dfs(int d, int s, int t, int x, int y, int z) {
	if (x > m) {
		if (y && !z)
			return;
		if (!z)
			dp[d - 1][t] = pls(dp[d - 1][t], dp[d][s]);
		else
			dp[d - 1][t] = (dp[d - 1][t] + (ll) dp[d][s] * (1 << (z - 1))) % P;
		return;
	}
	if (!(s & pw2[x - 1]))
		return dfs(d, s, t, x + 1, y, z + 1);
	if ((a[p[x]] >> (d - 1)) & 1) {
		dfs(d, s, t | pw2[x - 1], x + 1, !y, z);
		dfs(d, s, t, x + 1, y, z);
		return;
	}
	dfs(d, s, t | pw2[x - 1], x + 1, y, z);
}
int main() {
	freopen("graph.in", "r", stdin);
	freopen("graph.out", "w", stdout);
	scanf("%d%d%lld", &n, &m, &c);
	for (int i = 1; i <= n; ++i) {
		scanf("%lld", &a[i]);
		p[i] = i;
	}
	sort(p + 1, p + n + 1, [] (int i, int j) {
		return a[i] < a[j];
	});
	sort(a + 1, a + n + 1);
	for (int i = 1; i <= n; ++i)
		q[p[i]] = i;
	pw2[0] = 1;
	for (int i = 1; i <= n; ++i)
		pw2[i] = pw2[i - 1] << 1;
	for (int i = 1; i <= m; ++i) {
		int u, v;
		scanf("%d%d", &u, &v);
		if (u == v)
			continue;
		u = q[u];
		v = q[v];
		ed[u][v] = ed[v][u] = 1;
	}
	for (int i = 0; i < pw2[n]; ++i)
		for (int j = 1; j <= n; ++j)
			if (i & pw2[j - 1])
				for (int k = j + 1; k <= n; ++k)
					if (ed[j][k] && i & pw2[k - 1])
						++f[i];
	for (int i = 0; i < 1 << n; ++i) {
		g[i] = !f[i];
		int t = i & (-i);
		for (int j = i; j; j = (j - 1) & i)
			if (!f[j] && !(j & t))
				g[i] = sub(g[i], g[i ^ j]);
	}
	h0[0] = 1;
	for (int i = 1; i < 1 << n; ++i) {
		int t = i & (-i);
		for (int j = i; j; j = (j - 1) & i)
			if (!(popc(j) & 1) && j & t)
				h0[i] = (h0[i] + (a[(int) log2(j & (-j)) + 1] + 1) % P * h0[i ^ j] % P * g[j]) % P;
	}
	for (int s = 0; s < 1 << n; ++s) {
		if ((n - popc(s)) & 1)
			continue;
		m = 0;
		for (int i = 1; i <= n; ++i)
			if (s & pw2[i - 1])
				p[++m] = i;
		for (int i = 0; i < L; ++i)
			for (int j = 0; j < pw2[m]; ++j)
				dp[i][j] = 0;
		dp[L - 1][pw2[m] - 1] = 1;
		for (int i = L - 1; i; --i) {
			int opt = (c >> (i - 1)) & 1;
			for (int j = 0; j < pw2[m]; ++j)
				if (dp[i][j])
					dfs(i, j, 0, 1, opt, 0);
		}
		h[0][0] = 1;
		for (int i = 1; i <= m; ++i)
			for (int j = 0; j < pw2[n - m]; ++j) {
				h[i][j] = (ll) h[i - 1][j] * g[pw2[p[i] - 1]] % P;
				for (int k = j; k; k = (k - 1) & j) {
					if (popc(k) & 1)
						continue;
					int sta = pw2[p[i] - 1];
					for (int l = 1, t = 1; l <= n; ++l)
						if (!(s & pw2[l - 1])) {
							if (k & pw2[t - 1]) {
								if (l < p[i]) {
									sta = -1;
									break;
								}
								sta |= pw2[l - 1];
							}
							++t;
						}
					if (!~sta)
						continue;
					h[i][j] = (h[i][j] + (ll) h[i - 1][j ^ k] * g[sta]) % P;
				}
			}
		int t1 = 0;
		for (int i = 0; i < 1 << m; ++i)
			t1 = pls(t1, dp[0][i]);
		int t2 = 0;
		for (int i = 0; i < pw2[n - m]; ++i) {
			int sta = s;
			for (int j = 1, k = 1; j <= n; ++j)
				if (!(s & pw2[j - 1])) {
					if (i & pw2[k - 1])
						sta |= pw2[j - 1];
					++k;
				}
			t2 = (t2 + (ll) h[m][i] * h0[(pw2[n] - 1) ^ sta]) % P;
		}
		ans = (ans + (ll) t1 * t2) % P;
	}
	printf("%d", ans);
	return 0;
}

Details

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Subtask #1:

score: 0
Dangerous Syscalls

Test #1:

score: 0
Dangerous Syscalls

input:

4 6 2
7 11 14 0
1 2
1 3
2 3
2 4
4 1
4 3

output:


result:


Subtask #2:

score: 0
Skipped

Dependency #1:

0%

Subtask #3:

score: 0
Dangerous Syscalls

Test #47:

score: 0
Dangerous Syscalls

input:

14 0 731833687287532167
157552918690640051 900457311668526045 111217720157614956 84140984111060473 814012186135880499 784848789620248379 958953377683017264 105083874298571687 104921429970878846 44983041675142735 871013110538758030 686733907990421995 98063590462078176 495161493555059993

output:


result:


Subtask #4:

score: 0
Skipped

Dependency #1:

0%