QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#115758 | #5810. Doubly-sorted Grid | hgzxwzf | 30 ✓ | 10894ms | 30252kb | C++14 | 2.1kb | 2023-06-26 19:23:55 | 2023-06-26 19:23:56 |
Judging History
answer
#include<bits/stdc++.h>
#define rep(x,y,z) for(int x=y;x<=z;x++)
#define per(x,y,z) for(int x=z;x>=y;x--)
using namespace std;
const int N=11,Max=2e5+10,mod=10007;
int li[N][N],n,m,idx;
int lim[1<<N],cnt[1<<N],nt[1<<N];
int dp[Max][28],id[1<<20],cur[Max];
void dfs(int i,int j,int step)
{
if(i==n+m+1)
{
if(j==n) id[step]=++idx,cur[idx]=step;
return ;
}
dfs(i+1,j+1,step|(1<<i-1));
dfs(i+1,j,step);
}
int add(int x,int y)
{
return x+y>=mod?x+y-mod:x+y;
}
void work()
{
cin>>n>>m;
rep(i,0,(1<<m)-1) cnt[i]=__builtin_popcount(i);
idx=0;
rep(i,1,n)
{
string s;
cin>>s;
rep(j,1,m)
li[i][j]=s[j-1]=='.'?0:s[j-1];
}
dfs(1,0,0);
rep(i,1,idx) rep(j,1,26) dp[i][j]=0;
dp[1][0]=1;
rep(i,1,idx)
{
vector<array<int,3>> cro;
int x=n,y=0;
rep(j,1,n+m-1)
{
if(cur[i]>>j-1&1) x--;
else y++;
if((cur[i]>>j-1&1)&&!(cur[i]>>j&1)) cro.push_back({x,y,j});
}
int t=cro.size();
rep(j,1,(1<<t)-1)
{
lim[j]=0;
nt[j]=cur[i];
rep(k,0,t-1)
if(j>>k&1)
{
nt[j]^=1<<cro[k][2]-1,nt[j]^=1<<cro[k][2];
int l=li[cro[k][0]+1][cro[k][1]+1];
if(!l) continue;
if(!lim[j]) lim[j]=l;
else if(l!=lim[j]) {lim[j]=-1;break;}
}
}
rep(j,1,26)
{
dp[i][j]=add(dp[i][j],dp[i][j-1]);
rep(k,1,(1<<t)-1)
{
if(lim[k]&&lim[k]-'a'+1!=j) continue;
int c=(cnt[k]&1)?1:mod-1;
dp[id[nt[k]]][j]=add(dp[id[nt[k]]][j],1ll*dp[i][j]*c%mod);
}
}
}
cout<<dp[idx][26]<<endl;
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(0),cout.tie(0);
// freopen("in","r",stdin);
// freopen("out","w",stdout);
int T;
cin>>T;
rep(t,1,T) cout<<"Case #"<<t<<": ",work();
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Subtask #1:
score: 10
Accepted
Test #1:
score: 10
Accepted
time: 0ms
memory: 7548kb
input:
40 4 4 .... .... .... .... 4 4 abcd bcde cdef defg 4 4 bbcc ccde cdef deef 4 4 .... .... .r.. ..e. 3 4 .... .... ...g 1 3 f.. 2 2 .b bb 2 3 ... ..f 4 4 .... .... ..t. ..d. 3 3 .gn ... ... 4 4 ...a ...b ...c ...d 4 4 ...b ..bb .bbb bbbb 4 4 a... .b.. ..c. ...d 3 3 c.. glw ..w 1 4 .... 1 3 d.v 4 2 .. ...
output:
Case #1: 7285 Case #2: 1 Case #3: 1 Case #4: 0 Case #5: 718 Case #6: 231 Case #7: 2 Case #8: 686 Case #9: 0 Case #10: 3500 Case #11: 330 Case #12: 14 Case #13: 4096 Case #14: 2756 Case #15: 3737 Case #16: 19 Case #17: 8175 Case #18: 3737 Case #19: 7279 Case #20: 256 Case #21: 23 Case #22: 7569 Case ...
result:
ok 40 lines
Subtask #2:
score: 20
Accepted
Test #2:
score: 20
Accepted
time: 10894ms
memory: 30252kb
input:
40 5 10 .......... .......... .......... .......... .......... 10 10 ....a..... ....c..... ....g..... ....j..... ....l..... ....m..... ....n..... ....q..... ....t..... ....v..... 10 10 .......... .......... .......... .......... .......... .......... .......... .......... ...ok..... .......... 9 10 ...
output:
Case #1: 8791 Case #2: 7220 Case #3: 0 Case #4: 2510 Case #5: 4299 Case #6: 1663 Case #7: 981 Case #8: 1430 Case #9: 8814 Case #10: 2877 Case #11: 2124 Case #12: 0 Case #13: 4311 Case #14: 4458 Case #15: 8699 Case #16: 3727 Case #17: 14 Case #18: 5478 Case #19: 7922 Case #20: 6789 Case #21: 1252 Cas...
result:
ok 40 lines
Extra Test:
score: 0
Extra Test Passed