QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#232619#1277. Permutationle6666TL 2313ms128936kbC++144.5kb2023-10-30 17:43:142023-10-30 17:43:14

Judging History

你现在查看的是最新测评结果

  • [2023-10-30 17:43:14]
  • 评测
  • 测评结果:TL
  • 用时:2313ms
  • 内存:128936kb
  • [2023-10-30 17:43:14]
  • 提交

answer

#pragma GCC optimize(2)
#pragma GCC optimize(3)
#pragma GCC optimize("Ofast")
#pragma GCC optimize("inline")
#pragma GCC optimize("-fgcse")
#pragma GCC optimize("-fgcse-lm")
#pragma GCC optimize("-fipa-sra")
#pragma GCC optimize("-ftree-pre")
#pragma GCC optimize("-ftree-vrp")
#pragma GCC optimize("-fpeephole2")
#pragma GCC optimize("-ffast-math")
#pragma GCC optimize("-fsched-spec")
#pragma GCC optimize("unroll-loops")
#pragma GCC optimize("-falign-jumps")
#pragma GCC optimize("-falign-loops")
#pragma GCC optimize("-falign-labels")
#pragma GCC optimize("-fdevirtualize")
#pragma GCC optimize("-fcaller-saves")
#pragma GCC optimize("-fcrossjumping")
#pragma GCC optimize("-fthread-jumps")
#pragma GCC optimize("-funroll-loops")
#pragma GCC optimize("-freorder-blocks")
#pragma GCC optimize("-fschedule-insns")
#pragma GCC optimize("inline-functions")
#pragma GCC optimize("-ftree-tail-merge")
#pragma GCC optimize("-fschedule-insns2")
#pragma GCC optimize("-fstrict-aliasing")
#pragma GCC optimize("-falign-functions")
#pragma GCC optimize("-fcse-follow-jumps")
#pragma GCC optimize("-fsched-interblock")
#pragma GCC optimize("-fpartial-inlining")
#pragma GCC optimize("no-stack-protector")
#pragma GCC optimize("-freorder-functions")
#pragma GCC optimize("-findirect-inlining")
#pragma GCC optimize("-fhoist-adjacent-loads")
#pragma GCC optimize("-frerun-cse-after-loop")
#pragma GCC optimize("inline-small-functions")
#pragma GCC optimize("-finline-small-functions")
#pragma GCC optimize("-ftree-switch-conversion")
#pragma GCC optimize("-foptimize-sibling-calls")
#pragma GCC optimize("-fexpensive-optimizations")
#pragma GCC optimize("inline-functions-called-once")
#pragma GCC optimize("-fdelete-null-pointer-checks")
#pragma GCC target("sse,sse2,sse3,sse4,popcnt,abm,mmx,avx,avx2")
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
//#define int long long

char *p1,*p2,buf[100000];
#define nc() (p1==p2 && (p2=(p1=buf)+fread(buf,1,100000,stdin),p1==p2)?EOF:*p1++)
int read()
{
	int x=0,f=1;
	char ch=nc();
	while(ch<48||ch>57)
	{
		if(ch=='-')
			f=-1;
		ch=nc();
	}
	while(ch>=48&&ch<=57)
		x=x*10+ch-48,ch=nc();
	return x*f;
}

void write(int x)
{
	if(x<0)
		putchar('-'),x=-x;
	if(x>9)
		write(x/10);
	putchar(x%10+'0');
	return;
}

const ll MOD = 1e9 + 7;
const int MAXN = 50 + 5;
int T, n, a[MAXN], W;
ll pow2[MAXN];
//unordered_map<ll, ll> f;
map<ll, ll> f;
//unordered_map<ll, ll> rev;
map<ll, ll> rev;
//queue<ll> q;
struct Queue {
	int l = 1, r = 0;
	ll a[4000000];
	void clear() { l = 1, r = 0; }
	bool empty() { return l == r + 1; }
	void pop() { l++; }
	void push(ll x) { a[++r] = x; }
	ll front() { return a[l]; }
} q;

ll cut(ll x, int l, int r) {
	return ((x & (pow2[l + 1] - 1)) >> r);
}

bool check(ll x, int k) {
	ll y = rev[x]; int len;
	if ((x >> k) & 1) return false;
	if (k <= n / 2) len = k - 1;
	else len = n - k;
	return cut(x, k + len, k - len) == cut(y, n - k + len, n - k - len);
}

signed main() {
	pow2[0] = 1;
	for (int i = 1; i <= 51; i++)
		pow2[i] = pow2[i - 1] * 2;
//	T = 1;
	T = read();
	while (T--) {
//		W = 0;
		n = 50;
		n = read();
//		for (int i = 1; i <= n; i++) a[i] = 0;
		for (int i = 1; i <= n; i++) a[i] = read();
//		while (!q.empty()) q.pop();
		q.clear();
		f.clear(), rev.clear();
		f[0] = 1, rev[0] = 0, q.push(0);
		while (!q.empty()) {
			ll x = q.front(); q.pop();
			int p = __popcount(x);
//			printf("x = %lld, p = %d\n", x, p);
			if (p == n) break;
			if (a[p + 1]) {
				if (check(x, a[p + 1])) {
					ll nxt = x | pow2[a[p + 1]];
					if (f.find(nxt) == f.end()) {
						q.push(nxt);
						rev[nxt] = rev[x] | pow2[n - a[p + 1]];
//						W++;
					}
//					printf("nxt = %lld\n", nxt);
					f[nxt] = (f[nxt] + f[x]) % MOD;
				}
			}
			else {
				for (int i = 1; i <= n; i++) {
					if (check(x, i)) {
						ll nxt = x | pow2[i];
						if (f.find(nxt) == f.end()) {
							q.push(nxt);
							rev[nxt] = rev[x] | pow2[n - i];
//							W++;
						}
//						printf("nxt = %lld\n", nxt);
						f[nxt] = (f[nxt] + f[x]) % MOD;
					}
				}
			}
		}
		int cnt = 0;
		for (int i = 1; i <= n; i++) if (!a[i]) cnt++;
		ll jc = 1;
		for (int i = 1; i <= cnt; i++) jc = jc * i % MOD;
		write((jc - f[pow2[n + 1] - 2] + MOD) % MOD);
		puts("");
//		printf("W = %d\n", W);
	}
	return 0;
}
/*

2
3
0 0 0
7
1 0 3 0 0 6 0

1
50
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

1
10
0 0 0 0 0 0 0 0 0 0

*/

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3700kb

input:

2
3
0 0 0
7
1 0 3 0 0 6 0

output:

2
21

result:

ok 2 tokens

Test #2:

score: 0
Accepted
time: 0ms
memory: 3648kb

input:

50
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0

output:

0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0

result:

ok 50 tokens

Test #3:

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

input:

25
2
0 0
2
0 0
2
0 0
2
0 0
2
0 0
2
0 0
2
0 0
2
0 0
2
0 0
2
0 0
2
0 0
2
0 0
2
0 0
2
0 0
2
0 0
2
0 0
2
0 0
2
0 0
2
0 0
2
0 0
2
0 0
2
0 0
2
0 0
2
0 0
2
0 0

output:

0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0

result:

ok 25 tokens

Test #4:

score: 0
Accepted
time: 0ms
memory: 3704kb

input:

16
3
0 0 0
3
0 0 0
3
0 0 0
3
0 0 0
3
0 0 0
3
0 0 0
3
0 0 0
3
0 0 0
3
0 0 0
3
0 0 0
3
0 0 0
3
0 0 0
3
0 0 0
3
0 0 0
3
0 0 0
3
0 0 0

output:

2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2

result:

ok 16 tokens

Test #5:

score: 0
Accepted
time: 0ms
memory: 5800kb

input:

5
10
0 0 0 0 0 0 0 0 0 0
10
0 0 0 0 0 0 0 0 0 0
10
0 0 0 0 0 0 0 0 0 0
10
0 0 0 0 0 0 0 0 0 0
10
0 0 0 0 0 0 0 0 0 0

output:

3627734
3627734
3627734
3627734
3627734

result:

ok 5 tokens

Test #6:

score: 0
Accepted
time: 0ms
memory: 5644kb

input:

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

output:

24
24
120
720

result:

ok 4 tokens

Test #7:

score: 0
Accepted
time: 0ms
memory: 3584kb

input:

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

output:

720
24
5040
6

result:

ok 4 tokens

Test #8:

score: 0
Accepted
time: 1ms
memory: 3628kb

input:

3
13
0 13 6 3 0 11 0 0 0 0 1 2 0
13
9 0 0 0 0 0 8 0 5 7 0 12 0
13
0 0 0 0 0 0 3 10 2 9 0 12 0

output:

5040
40320
40320

result:

ok 3 tokens

Test #9:

score: 0
Accepted
time: 0ms
memory: 3712kb

input:

3
14
0 12 10 9 0 0 11 0 0 1 6 4 8 13
14
0 0 8 0 0 9 14 3 0 0 6 2 0 0
14
13 0 8 0 0 0 0 0 14 7 4 6 0 3

output:

120
40320
5040

result:

ok 3 tokens

Test #10:

score: 0
Accepted
time: 1ms
memory: 3808kb

input:

3
15
8 7 12 14 6 0 0 9 4 0 1 0 0 0 2
15
5 0 0 9 0 7 15 0 13 4 11 0 0 0 2
15
0 0 0 2 0 0 7 0 0 8 0 13 14 10 3

output:

720
5040
40320

result:

ok 3 tokens

Test #11:

score: 0
Accepted
time: 28ms
memory: 5040kb

input:

2
20
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
20
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

output:

143388927
143388927

result:

ok 2 tokens

Test #12:

score: 0
Accepted
time: 12ms
memory: 4948kb

input:

1
30
21 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

output:

586750519

result:

ok "586750519"

Test #13:

score: 0
Accepted
time: 18ms
memory: 5924kb

input:

1
40
0 0 0 0 23 26 0 0 0 0 0 0 32 20 33 0 0 0 0 0 0 0 0 0 0 0 0 0 36 0 0 0 0 0 0 0 0 0 0 0

output:

943272305

result:

ok "943272305"

Test #14:

score: 0
Accepted
time: 960ms
memory: 67264kb

input:

1
41
0 0 0 0 0 0 0 0 0 14 38 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15 0 0 35 9 0 0

output:

523095984

result:

ok "523095984"

Test #15:

score: 0
Accepted
time: 1874ms
memory: 110240kb

input:

1
42
0 0 0 0 0 0 0 0 0 0 0 0 4 22 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 38 0 0 0 1 0

output:

472948359

result:

ok "472948359"

Test #16:

score: 0
Accepted
time: 1ms
memory: 3688kb

input:

5
10
0 0 7 0 0 0 0 0 0 3
10
0 5 0 0 0 0 0 9 0 0
10
1 6 0 0 0 0 0 5 0 0
10
0 0 4 0 0 0 3 0 1 9
10
0 0 0 0 0 0 0 6 0 0

output:

40320
40320
5040
718
362648

result:

ok 5 tokens

Test #17:

score: 0
Accepted
time: 1ms
memory: 3672kb

input:

5
9
0 6 0 0 0 0 0 0 0
9
6 0 0 0 3 0 0 7 0
9
8 0 0 0 0 0 7 3 4
9
0 0 0 0 0 0 0 0 0
9
0 0 0 0 0 0 8 2 0

output:

40270
720
120
362384
4996

result:

ok 5 tokens

Test #18:

score: 0
Accepted
time: 2313ms
memory: 128936kb

input:

1
42
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

output:

94131117

result:

ok "94131117"

Test #19:

score: 0
Accepted
time: 1594ms
memory: 94052kb

input:

1
40
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

output:

614960773

result:

ok "614960773"

Test #20:

score: 0
Accepted
time: 649ms
memory: 44436kb

input:

1
35
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

output:

478043548

result:

ok "478043548"

Test #21:

score: 0
Accepted
time: 215ms
memory: 18508kb

input:

1
30
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

output:

343955582

result:

ok "343955582"

Test #22:

score: 0
Accepted
time: 69ms
memory: 8792kb

input:

1
25
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

output:

242322220

result:

ok "242322220"

Test #23:

score: 0
Accepted
time: 13ms
memory: 5044kb

input:

1
20
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

output:

143388927

result:

ok "143388927"

Test #24:

score: 0
Accepted
time: 1ms
memory: 3656kb

input:

5
10
0 0 0 2 0 9 0 5 0 0
10
0 1 0 3 7 0 0 0 0 0
10
0 0 10 8 0 0 0 9 0 7
10
0 7 1 9 0 0 0 0 0 0
10
0 4 0 0 10 0 0 0 9 0

output:

5028
5000
719
5018
5034

result:

ok 5 tokens

Test #25:

score: 0
Accepted
time: 0ms
memory: 3704kb

input:

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

output:

0
0
0
0
0

result:

ok 5 tokens

Test #26:

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

input:

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

output:

4
1
5
1
1

result:

ok 5 tokens

Test #27:

score: 0
Accepted
time: 0ms
memory: 3652kb

input:

1
42
29 13 21 37 5 17 33 1 0 0 41 11 27 35 3 19 31 15 23 39 7 12 28 4 36 20 24 0 0 32 16 2 34 18 26 10 42 0 30 6 38 22

output:

118

result:

ok "118"

Test #28:

score: 0
Accepted
time: 0ms
memory: 3660kb

input:

1
42
37 5 21 13 29 17 1 33 25 9 41 3 35 0 0 27 23 0 7 31 15 32 16 8 40 24 0 0 20 28 0 30 0 0 38 22 10 0 0 0 0 18

output:

479001592

result:

ok "479001592"

Test #29:

score: 0
Accepted
time: 1ms
memory: 3868kb

input:

1
42
0 29 0 0 21 33 1 17 41 9 0 15 31 0 7 23 0 0 0 0 35 20 4 36 28 12 32 0 0 40 24 26 10 0 18 34 0 0 38 6 0 0

output:

789741538

result:

ok "789741538"

Test #30:

score: 0
Accepted
time: 3ms
memory: 4068kb

input:

1
42
0 0 25 0 1 33 0 0 0 29 0 0 0 35 0 0 7 39 0 31 0 0 42 0 0 0 2 0 38 22 14 0 0 0 0 0 28 24 0 0 0 0

output:

394131909

result:

ok "394131909"

Test #31:

score: -100
Time Limit Exceeded

input:

1
50
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

output:


result: