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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#104965#4793. QnpDeterminantTL 12ms6008kbC++14876b2023-05-12 17:32:182023-05-12 17:32:20

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-05-12 17:32:20]
  • 评测
  • 测评结果:TL
  • 用时:12ms
  • 内存:6008kb
  • [2023-05-12 17:32:18]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;typedef long long ll;
const int N=70007;const ll p=1145141919810011ll,p2=1e9+7;
int a[11],st;ll ans,m,inv[N],f[N],f_[N];double s[N];
void sol(){
	ans=st=0;for(int i=0;i<10;++i)scanf("%d",&a[i]),st+=a[i];scanf("%lld",&m);
	while(st){
		int fl;
		for(int i=0;i<10;++i)if(a[i]){
			double q=s[st-1];
			for(int j=0;j<10;++j)q-=s[a[j]-(i==j)];
			if(q>14){fl=i;break;}
			ll q2=f[st-1];
			for(int j=0;j<10;++j)q2=(__int128)q2*f_[a[j]-(i==j)]%p;
			if(m<=q2){fl=i;break;}else m-=q2;
		}
		ans=(ans*10+fl)%p2;st--;a[fl]--;
	}
	printf("%lld\n",ans);return;
}
int main(){
	inv[1]=1;for(int i=2;i<N;++i)inv[i]=(__int128)(p-p/i)*inv[p%i]%p;
	f[0]=f_[0]=1;for(int i=1;i<N;++i){
		f[i]=(__int128)f[i-1]*i%p,f_[i]=(__int128)f[i-1]*inv[i]%p;
		s[i]=s[i-1]+log10(i);
	}
	int t;scanf("%d",&t);while(t--)sol();return 0;
}

Details

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Test #1:

score: 100
Accepted
time: 12ms
memory: 6008kb

input:

6
1 1 0 0 0 0 0 0 0 0 1
1 1 0 0 0 0 0 0 0 0 2
1 1 1 0 0 0 0 0 0 0 1
1 1 1 0 0 0 0 0 0 0 2
1 1 1 0 0 0 0 0 0 0 5
1 2 0 0 0 0 0 0 0 0 2

output:

1
10
12
21
201
101

result:

ok 6 numbers

Test #2:

score: -100
Time Limit Exceeded

input:

5000
7142 6835 7022 6981 6929 7008 7038 7015 6885 7145 659213485437
7015 7033 6963 7136 7053 7072 6847 6923 6953 7005 82053183749
7013 7003 6969 7000 7011 7137 7030 6823 7021 6993 817812793310
6893 7008 6963 7086 7012 6922 7128 7094 7028 6866 143084249211
7020 7021 6997 6961 7017 7032 7013 7028 6987...

output:

248683691
528820716
181505169
946915505
946168220
512272953
905640303
449821242
255404291
872033246
722107721
647360869
298367969
444808734
846460414
72770041
55623998
491823880
291241788
24495678
576714004
542904212
23621574
539352410
473397608
571656853
941716861
967523444
244335380
627414910
4692...

result: