QOJ.ac
QOJ
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. Permutation | Invincible | AC ✓ | 238ms | 15840kb | C++23 | 3.0kb | 2024-12-26 22:24:04 | 2024-12-26 22:24:04 |
Judging History
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"