CSES - Putka Open 2020 – 2/5 - Results
Submission details
Task:Planeetat
Sender:Sisuaski
Submission time:2020-09-26 18:05:38 +0300
Language:C++ (C++17)
Status:READY
Result:49
Feedback
groupverdictscore
#1ACCEPTED24
#2ACCEPTED25
#30
Test results
testverdicttimegroup
#1ACCEPTED0.01 s1, 2, 3details
#2ACCEPTED0.01 s1, 2, 3details
#3ACCEPTED0.01 s1, 2, 3details
#4ACCEPTED0.01 s1, 2, 3details
#5ACCEPTED0.01 s1, 2, 3details
#6ACCEPTED0.01 s1, 2, 3details
#7ACCEPTED0.01 s1, 2, 3details
#8ACCEPTED0.01 s1, 2, 3details
#9ACCEPTED0.01 s1, 2, 3details
#10ACCEPTED0.01 s1, 2, 3details
#11ACCEPTED0.01 s2, 3details
#12ACCEPTED0.01 s2, 3details
#13ACCEPTED0.01 s2, 3details
#140.01 s3details
#150.01 s3details
#160.01 s3details
#170.01 s3details
#180.01 s3details
#190.01 s3details
#200.01 s3details
#210.01 s3details
#220.01 s3details
#230.01 s3details
#240.01 s3details
#250.01 s3details

Code

#include <iostream>
using namespace std;
typedef long long ll;
const int Z = 1e9+7;
const int N = 102;
ll R[N][N];
ll S[N];
ll M[N][N];
ll T[N];

ll fac[N];
ll bin[N][N];

int main() {
	fac[0]=1;
	for(int i=1; i<N; ++i) fac[i]=i*fac[i-1]%Z;
	for(int i=0; i<N; ++i) {
		bin[i][0]=1;
		for(int j=1; j<=i; ++j) bin[i][j]=(bin[i-1][j-1]+bin[i-1][j])%Z;
	}

	T[0]=1;
	for(int i=0; i<N; ++i) M[0][i] = 1;
	R[0][0] = 1;
	S[0] = 1;
	for(int n=1; n<N; ++n) {
		for(int i=1; i<=n; ++i) {
			T[n] += bin[n][i] * M[n-i][i];
			T[n] %= Z;
		}
		for(int k=1; k<N; ++k) {
			for(int i=0; i<=n; ++i) {
				M[n][k] += bin[n][i] * T[i] % Z * M[n-i][k-1];
				M[n][k] %= Z;
			}
		}
		for(int i=1; i<=n; ++i) {
			S[n] += bin[n][i] * fac[i-1] % Z * M[n-i][i];
			S[n] %= Z;
		}

		for(int k=1; k<=n; ++k) {
			for(int i=0; i<=n-k; ++i) {
				R[n][k] += bin[n-1][i] * S[i+1] % Z * R[n-i-1][k-1];
				R[n][k] %= Z;
			}
		}
	}

	int n;cin>>n;
	for(int i=1; i<=n; ++i) cout<<R[n][i]<<'\n';
}

Test details

Test 1

Group: 1, 2, 3

Verdict: ACCEPTED

input
1

correct output
1

user output
1

Test 2

Group: 1, 2, 3

Verdict: ACCEPTED

input
2

correct output
3
1

user output
3
1

Test 3

Group: 1, 2, 3

Verdict: ACCEPTED

input
3

correct output
17
9
1

user output
17
9
1

Test 4

Group: 1, 2, 3

Verdict: ACCEPTED

input
4

correct output
142
95
18
1

user output
142
95
18
1

Test 5

Group: 1, 2, 3

Verdict: ACCEPTED

input
5

correct output
1569
1220
305
30
1

user output
1569
1220
305
30
1

Test 6

Group: 1, 2, 3

Verdict: ACCEPTED

input
6

correct output
21576
18694
5595
745
45
...

user output
21576
18694
5595
745
45
...

Test 7

Group: 1, 2, 3

Verdict: ACCEPTED

input
7

correct output
355081
334369
113974
18515
1540
...

user output
355081
334369
113974
18515
1540
...

Test 8

Group: 1, 2, 3

Verdict: ACCEPTED

input
8

correct output
6805296
6852460
2581964
484729
49840
...

user output
6805296
6852460
2581964
484729
49840
...

Test 9

Group: 1, 2, 3

Verdict: ACCEPTED

input
9

correct output
148869153
158479488
64727522
13591116
1632099
...

user output
148869153
158479488
64727522
13591116
1632099
...

Test 10

Group: 1, 2, 3

Verdict: ACCEPTED

input
10

correct output
660215659
85349908
783995053
409987640
55545735
...

user output
660215659
85349908
783995053
409987640
55545735
...

Test 11

Group: 2, 3

Verdict: ACCEPTED

input
20

correct output
8033007
474885151
998010619
720259168
345757330
...

user output
8033007
474885151
998010619
720259168
345757330
...
Truncated

Test 12

Group: 2, 3

Verdict: ACCEPTED

input
50

correct output
637699856
613177596
194234103
50828885
988168359
...

user output
637699856
613177596
194234103
50828885
988168359
...
Truncated

Test 13

Group: 2, 3

Verdict: ACCEPTED

input
100

correct output
894456323
406549429
962038245
430640330
61348310
...

user output
894456323
406549429
962038245
430640330
61348310
...
Truncated

Test 14

Group: 3

Verdict:

input
666

correct output
189730587
968711879
553374698
53051125
139917248
...

user output
(empty)

Test 15

Group: 3

Verdict:

input
3333

correct output
79235821
455292218
627100211
591681254
695866885
...

user output
(empty)

Test 16

Group: 3

Verdict:

input
4991

correct output
482116496
245260697
151422537
180441123
318466624
...

user output
(empty)

Test 17

Group: 3

Verdict:

input
4992

correct output
141010647
787351178
684701591
872974815
631476284
...

user output
(empty)

Test 18

Group: 3

Verdict:

input
4993

correct output
504034249
588971460
281533415
928250892
416697844
...

user output
(empty)

Test 19

Group: 3

Verdict:

input
4994

correct output
266134603
90079109
544661648
812099750
17249410
...

user output
(empty)

Test 20

Group: 3

Verdict:

input
4995

correct output
833898560
663839791
109127071
321675160
86285359
...

user output
(empty)

Test 21

Group: 3

Verdict:

input
4996

correct output
721158645
167929822
115103278
491345159
114397872
...

user output
(empty)

Test 22

Group: 3

Verdict:

input
4997

correct output
691405606
436947443
82656395
514529009
783319673
...

user output
(empty)

Test 23

Group: 3

Verdict:

input
4998

correct output
829675470
688714502
189351950
956110193
20883331
...

user output
(empty)

Test 24

Group: 3

Verdict:

input
4999

correct output
343936737
47032567
190931571
827280581
160866637
...

user output
(empty)

Test 25

Group: 3

Verdict:

input
5000

correct output
364064601
633559852
352848841
666954216
428009512
...

user output
(empty)