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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#139837#2447. Domino CoveringQingyuAC ✓559ms3764kbC++233.8kb2023-08-14 18:16:232023-08-14 18:16:25

Judging History

你现在查看的是测评时间为 2023-08-14 18:16:25 的历史记录

  • [2024-10-07 15:52:53]
  • 管理员手动重测该提交记录
  • 测评结果:AC
  • 用时:698ms
  • 内存:3976kb
  • [2024-10-07 15:50:47]
  • 管理员手动重测该提交记录
  • 测评结果:100
  • 用时:0ms
  • 内存:3896kb
  • [2023-08-14 18:16:25]
  • 评测
  • 测评结果:100
  • 用时:559ms
  • 内存:3764kb
  • [2023-08-14 18:16:23]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
const int maxn = 35;
typedef long long LL;
typedef int Matrix[maxn][maxn];
int t, n, mod, cur, pre = 1, f[3][maxn << 1 | 1], deg[3];
LL m;
Matrix mat[3];
inline void mod_inc(int &x, int y) {
	(x += y) >= mod && (x -= mod);
}
inline int mod_inv(int x) {
	int y = mod, u = 1, v = 0;
	while(x) {
		int q = y / x;
		swap(x, y);
		x -= q * y;
		swap(u, v);
		u -= q * v;
	}
	assert(y == 1);
	return v < 0 ? v + mod : v;
}
inline int mat_half_det(Matrix &mat) {
	int odd = 1, even = 1;
	for(int i = 0; i < n; ++i) {
		int &det = i & 1 ? odd : even;
		for(int j = i; j < n; ++j) {
			if(!mat[j][i])
				continue;
			if(i == j)
				break;
			if(det)
				det = mod - det;
			for(int k = i; k < n; ++k)
				swap(mat[i][k], mat[j][k]);
		}
		if(!mat[i][i]) {
			det = 0;
			continue;
		}
		det = (LL)det * mat[i][i] % mod;
		for(int j = i, k = mod_inv(mat[i][i]); j < n; ++j)
			mat[i][j] = (LL)mat[i][j] * k % mod;
		for(int j = i + 1; j < n; ++j) {
			if(!mat[j][i])
				continue;
			int d = mod - mat[j][i];
			for(int k = i; k < n; ++k)
				mat[j][k] = (mat[j][k] + (LL)d * mat[i][k]) % mod;
		}
	}
	assert(odd == even);
	return even;
}
inline void poly_mod() {
	int *G = f[2];
	for(int i = deg[cur] - n; i >= 0; --i) {
		int *F = f[cur] + i;
		if(!F[n])
			continue;
		int d = mod - F[n];
		for(int j = 0; j <= n; ++j)
			F[j] = (F[j] + (LL)d * G[j]) % mod;
	}
	for(deg[cur] > n && (deg[cur] = n); deg[cur] && !f[cur][deg[cur]]; --deg[cur]);
}
inline void mat_next() {
	swap(cur, pre);
	Matrix &F = mat[cur], &G = mat[pre];
	for(int i = 0; i < n; ++i)
		for(int j = 1; j < n; ++j) {
			mod_inc(F[i][j], G[i][j - 1]);
			mod_inc(F[i][j - 1], G[i][j]);
		}
}
int main() {
	scanf("%d", &t);
	while(t--) {
		scanf("%d%lld%d", &n, &m, &mod);
		assert(mod > 1);
		if((n & 1) && (m & 1)) {
			puts("0");
			continue;
		}
		if(n > m) {
			int t = m;
			m = n;
			n = t;
		}
		if(n == 1) {
			puts("1");
			continue;
		}
		f[cur][0] = 1;
		for(int i = 1; i <= n; ++i) {
			swap(cur, pre);
			f[cur][i] = f[pre][i - 1];
			for(int j = i - 1; j > 0; --j) {
				f[cur][j] = f[pre][j - 1];
				mod_inc(f[cur][j], mod - f[pre][j]);
				mod_inc(f[cur][j], mod - f[cur][j - 1]);
			}
			assert(f[pre][0]);
			f[cur][0] = mod - f[pre][0];
		}
		memcpy(f[2], f[cur], (n + 1) * sizeof(int));
		assert(f[2][n] == 1);
		deg[cur] = 0;
		f[cur][0] = 1;
		int mx = 0;
		for( ; (1LL << mx) <= (m >> 1); ++mx);
		for(int i = mx - 1; i >= 0; --i) {
			swap(cur, pre);
			deg[cur] = deg[pre] << 1;
			memset(f[cur], 0, (deg[cur] + 1) * sizeof(int));
			for(int j = 0; j <= deg[pre]; ++j)
				for(int k = 0; k <= deg[pre]; ++k)
					f[cur][j + k] = (f[cur][j + k] + (LL)f[pre][j] * f[pre][k]) % mod;
			poly_mod();
			if((m >> (i + 1)) & 1) {
				++deg[cur];
				for(int i = deg[cur]; i > 0; --i)
					f[cur][i] = f[cur][i - 1];
				f[cur][0] = 0;
				poly_mod();
			}
		}
		deg[2] = deg[cur];
		memcpy(f[2], f[cur], (deg[2] + 1) * sizeof(int));
		for(int i = 0; i < n; ++i) {
			memset(mat[0][i], 0, n * sizeof(int));
			memset(mat[1][i], 0, n * sizeof(int));
			memset(mat[2][i], 0, n * sizeof(int));
		}
		for(int i = 0; i <= deg[2]; ++i) {
			if(i) {
				mat_next();
				mat_next();
			} else {
				for(int j = 0; j < n; ++j)
					mat[cur][j][j] = 1;
				if(m & 1)
					mat_next();
			}
			if(f[2][i]) {
				for(int j = 0; j < n; ++j)
					for(int k = 0; k < n; ++k)
						if(mat[cur][j][k])
							mat[2][j][k] = (mat[2][j][k] + (LL)f[2][i] * mat[cur][j][k]) % mod;
			}
		}
		if(m & 1)
			for(int i = 0; i < n; i += 2)
				for(int j = 0; j < n; ++j)
					swap(mat[2][i][j], mat[2][i + 1][j]);
		int ans = mat_half_det(mat[2]);
		printf("%d\n", ans);
	}
	return 0;
}

这程序好像有点Bug,我给组数据试试?

Details

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Test #1:

score: 100
Accepted
time: 559ms
memory: 3764kb

input:

20000
3 695860418 1064851577
5 909984642 1024590071
2 702478034 1015656679
3 832070346 1020170803
3 931276816 1069777147
5 624464668 1019025517
4 563777828 1039054439
3 70355912 1062629389
2 538334151 1043751551
4 644616259 1051984399
2 565963832 1050482821
3 489913670 1030290631
5 625001688 6518147...

output:

175636008
670951730
483405543
127343329
519459233
524024279
815773299
734679810
266201944
156563661
556277524
841321357
607188444
243626454
108744246
7651374
636855097
509810366
66494941
482058350
232780855
220305284
157636415
735388230
99671148
863972210
540368496
824555091
20145756
337198629
85541...

result:

ok 20000 lines