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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#833626#1277. PermutationInvincibleAC ✓238ms15840kbC++233.0kb2024-12-26 22:24:042024-12-26 22:24:04

Judging History

This is the latest submission verdict.

  • [2024-12-26 22:24:04]
  • Judged
  • Verdict: AC
  • Time: 238ms
  • Memory: 15840kb
  • [2024-12-26 22:24:04]
  • Submitted

answer

#include <cstdio>
#include <algorithm>
#include <cstring>
#include <iostream>
#include <vector>
#include <set>
#include <queue>
#include <map>
#include <ctime>
#include <random>
#include <cassert>
#include <numeric>
#include <cmath>
#include <bitset>
#include <ext/pb_ds/assoc_container.hpp>
#define pii pair<int, int>
#define fi first
#define se second
#define MP make_pair
#define ep emplace
#define eb emplace_back
#define int long long
#define rep(i, j, k) for (int i = (j); i <= (k); i++)
#define per(i, j, k) for (int i = (j); i >= (k); i--)
typedef double db;
typedef long double ldb;
typedef long long ll;
//typedef __int128 lll;
typedef unsigned long long ull;
typedef unsigned int ui;
using namespace std;
using namespace __gnu_pbds;
bool Mbe;

//char buf[1<<20],*p1,*p2;
//#define getchar() (p1 == p2 && (p2 = (p1 = buf) + fread(buf,1,1<<20,stdin), p1 == p2) ? 0 : *p1++)
int read() {
	int s = 0, f = 1;
	char c = getchar();
	while (c < '0' || c > '9') f ^= (c == '-'), c = getchar();
	while (c >= '0' && c <= '9') s = s * 10 + c - '0', c = getchar();
	return f ? s : -s;
}
template<typename T>void chkmax(T&x,const T&y){if(x<y)x=y;}
template<typename T>void chkmin(T&x,const T&y){if(x>y)x=y;}

const int mod=1e9+7;
int fplus(int x,int y){return x+y>=mod?x+y-mod:x+y;};
void Fplus(int&x,int y){x=fplus(x,y);}
ll ycl[51]={0,1,2,4,10,20,48,104,282,496,1066,2460,6128,12840,29380,74904,212728,368016,659296,1371056,2937136,6637232,15616616,38431556,96547832,198410168,419141312,941812088,2181990978,5624657008,14765405996,41918682488,121728075232,207996053184,360257593216,639536491376,1144978334240,2362611440576,4911144118024,10417809568016,22388184630824,50301508651032,113605533519568,265157938869936,622473467900178,1527398824248200,3784420902143392,9503564310606436,23991783779046768,48820872045382552,99986771685259808};
int n,a[51],fac[51];
map<int,int>dp[51];

bool Med;
signed main() {
	fprintf(stderr,"%.3lfMb\n",(&Mbe-&Med)/1024./1024.);
	fac[0]=1;
	rep(i,1,50)fac[i]=(ll)fac[i-1]*i%mod;
	for(int T=read();T--;){
		n=read();
		int mask=(1ll<<n)-1,free=0;
		rep(i,1,n){
			a[i]=read();
			if(a[i])mask^=(1ll<<(a[i]-1));
			else free++;
		}
		if(mask==(1ll<<n)-1){
			printf("%lld\n",fplus(fac[n],mod-ycl[n]%mod));
			continue;
		}
		rep(i,0,n)map<int,int>().swap(dp[i]);
		dp[0][0]=1;
		bool turn=1;
		rep(i,1,n/2)if(a[i])turn=0;
		if(turn)reverse(a+1,a+n+1);
		rep(i,1,n)for(pii p:dp[i-1]){
			int S=p.fi,val=p.se;
			if(!a[i]){
				rep(j,0,n-1)if(!(S>>j&1)&&(mask>>j&1)){
					bool flag=1;
					rep(k,0,n-1){
						if(j+j-k>=0&&j+j-k<n)flag&=!((S>>k&1)&&((((1ll<<n)-1)^S^(1ll<<j))>>(j+j-k))&1);
					}
					if(flag)Fplus(dp[i][S|(1ll<<j)],val);
				}
			}else{
				int j=a[i]-1;
				bool flag=1;
				rep(k,0,n-1){
					if(j+j-k>=0&&j+j-k<n)flag&=!((S>>k&1)&&((((1ll<<n)-1)^S^(1ll<<j))>>(j+j-k))&1);
				}
				if(flag)Fplus(dp[i][S|(1ll<<j)],val);
			}
		}
		printf("%lld\n",fplus(fac[free],mod-dp[n][(1ll<<n)-1]));
	}
	return 0;
}

詳細信息

Test #1:

score: 100
Accepted
time: 0ms
memory: 3940kb

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: 3728kb

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: 3772kb

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: 3920kb

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: 3852kb

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: 3916kb

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: 3960kb

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: 0ms
memory: 3896kb

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: 3844kb

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: 0ms
memory: 3776kb

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: 0ms
memory: 3948kb

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: 9ms
memory: 4524kb

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: 6ms
memory: 4412kb

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: 238ms
memory: 15840kb

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: 196ms
memory: 11900kb

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: 0ms
memory: 3900kb

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: 0ms
memory: 3944kb

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: 0ms
memory: 3844kb

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: 0ms
memory: 3960kb

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: 0ms
memory: 3896kb

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: 0ms
memory: 3768kb

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: 0ms
memory: 3788kb

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: 0ms
memory: 3768kb

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: 0ms
memory: 3900kb

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: 3848kb

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: 3836kb

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: 3856kb

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: 3856kb

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: 0ms
memory: 3916kb

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: 1ms
memory: 4028kb

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: 0
Accepted
time: 0ms
memory: 3896kb

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:

333255637

result:

ok "333255637"

Test #32:

score: 0
Accepted
time: 0ms
memory: 3944kb

input:

1
49
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:

22735711

result:

ok "22735711"

Test #33:

score: 0
Accepted
time: 0ms
memory: 3836kb

input:

1
48
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:

15964537

result:

ok "15964537"

Test #34:

score: 0
Accepted
time: 0ms
memory: 3800kb

input:

1
49
45 0 29 21 37 5 17 49 33 1 9 0 0 7 0 0 0 47 0 27 43 0 19 3 35 22 6 38 30 0 0 18 0 0 26 0 0 0 0 8 0 0 32 44 0 28 36 4 0

output:

146325999

result:

ok "146325999"

Test #35:

score: 0
Accepted
time: 1ms
memory: 3992kb

input:

1
49
0 0 0 45 13 29 0 0 25 49 17 0 0 11 43 27 19 0 0 23 0 39 15 47 31 0 48 16 8 40 0 0 0 0 36 0 0 0 0 0 30 0 46 0 42 10 0 34 0

output:

657627892

result:

ok "657627892"

Test #36:

score: 0
Accepted
time: 43ms
memory: 6532kb

input:

1
49
0 0 0 0 0 0 11 47 0 0 0 44 0 0 0 0 0 0 0 49 14 0 0 0 0 0 0 0 0 36 0 0 0 27 0 0 0 0 0 26 43 1 0 0 41 0 0 0 0

output:

472948359

result:

ok "472948359"

Test #37:

score: 0
Accepted
time: 0ms
memory: 3848kb

input:

1
49
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 37 0 30 0 0 33

output:

741412713

result:

ok "741412713"

Test #38:

score: 0
Accepted
time: 1ms
memory: 3932kb

input:

1
50
12 0 28 20 4 36 8 0 24 16 0 32 0 0 0 30 46 14 50 18 0 2 0 42 10 41 0 0 49 0 1 33 0 37 21 0 0 29 11 43 27 0 0 0 0 0 0 0 7 0

output:

602640125

result:

ok "602640125"

Test #39:

score: 0
Accepted
time: 0ms
memory: 3912kb

input:

1
50
19 35 3 0 43 0 0 0 39 15 0 0 0 0 9 0 1 0 0 21 5 37 29 13 0 34 0 50 18 0 10 42 6 0 22 30 0 0 0 0 0 48 16 32 28 12 44 20 0 36

output:

72847122

result:

ok "72847122"

Test #40:

score: 0
Accepted
time: 129ms
memory: 12144kb

input:

1
50
0 0 0 0 0 0 33 44 0 14 0 0 0 0 0 0 31 0 0 0 0 32 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 22 0 0 0 0 46 0 0 19

output:

776829897

result:

ok "776829897"

Test #41:

score: 0
Accepted
time: 47ms
memory: 7024kb

input:

1
50
0 0 0 0 0 28 0 2 0 0 0 0 0 7 0 0 0 0 0 29 0 0 0 0 17 0 0 0 0 0 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 49 0

output:

954784168

result:

ok "954784168"