CSES - Putka Open 2020 – 2/5 - Results
Submission details
Task:Planeetat
Sender:Gomhog
Submission time:2020-09-28 00:22:18 +0300
Language:C++ (C++11)
Status:READY
Result:100
Feedback
groupverdictscore
#1ACCEPTED24
#2ACCEPTED25
#3ACCEPTED51
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
#14ACCEPTED0.01 s3details
#15ACCEPTED0.21 s3details
#16ACCEPTED0.44 s3details
#17ACCEPTED0.44 s3details
#18ACCEPTED0.43 s3details
#19ACCEPTED0.43 s3details
#20ACCEPTED0.44 s3details
#21ACCEPTED0.43 s3details
#22ACCEPTED0.45 s3details
#23ACCEPTED0.44 s3details
#24ACCEPTED0.43 s3details
#25ACCEPTED0.44 s3details

Code

#include <bits/stdc++.h>
typedef long long ll;
typedef long double ld;
#define F first
#define S second

using namespace std;
const ll M = 1e9+7;

int n;
ll binom[5010][5010];
ll stir[5010][5010];
ll npow[5010];

ll modPow(ll a, ll e) {
	ll res=1;
	if (e==-1) return modPow(a,M-2);
	while (e>0) {
		if (e%2!=0) {
			res*=a;
			res%=M;
		}
		a*=a;
		a%=M;
		e/=2;
	}
	return res;
}

ll inv(ll a) {
	return modPow(a,M-2);
}

void solve() {
	stir[0][0]=1;
	binom[0][0]=1;
	npow[0]=1;
	for (int k=1;k<=n;k++) {
		binom[k][0]=1;
		npow[k]=(n*npow[k-1])%M;
		for (int j=1;j<=k;j++) {
			binom[k][j]=(binom[k-1][j-1]+binom[k-1][j])%M;
			stir[k][j]=((k-1)*stir[k-1][j]+stir[k-1][j-1])%M;
		}
	}
	for (int k=1;k<=n;k++) {
		ll res=0;
		for (int j=0;j<n;j++) {
			res+=(((binom[n-1][j]*npow[n-1-j])%M)*stir[j+1][k])%M;
		}
		cout<<res%M<<"\n";
	}	
}

int main() {
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cin>>n;
	solve();
}

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: ACCEPTED

input
666

correct output
189730587
968711879
553374698
53051125
139917248
...

user output
189730587
968711879
553374698
53051125
139917248
...
Truncated

Test 15

Group: 3

Verdict: ACCEPTED

input
3333

correct output
79235821
455292218
627100211
591681254
695866885
...

user output
79235821
455292218
627100211
591681254
695866885
...
Truncated

Test 16

Group: 3

Verdict: ACCEPTED

input
4991

correct output
482116496
245260697
151422537
180441123
318466624
...

user output
482116496
245260697
151422537
180441123
318466624
...
Truncated

Test 17

Group: 3

Verdict: ACCEPTED

input
4992

correct output
141010647
787351178
684701591
872974815
631476284
...

user output
141010647
787351178
684701591
872974815
631476284
...
Truncated

Test 18

Group: 3

Verdict: ACCEPTED

input
4993

correct output
504034249
588971460
281533415
928250892
416697844
...

user output
504034249
588971460
281533415
928250892
416697844
...
Truncated

Test 19

Group: 3

Verdict: ACCEPTED

input
4994

correct output
266134603
90079109
544661648
812099750
17249410
...

user output
266134603
90079109
544661648
812099750
17249410
...
Truncated

Test 20

Group: 3

Verdict: ACCEPTED

input
4995

correct output
833898560
663839791
109127071
321675160
86285359
...

user output
833898560
663839791
109127071
321675160
86285359
...
Truncated

Test 21

Group: 3

Verdict: ACCEPTED

input
4996

correct output
721158645
167929822
115103278
491345159
114397872
...

user output
721158645
167929822
115103278
491345159
114397872
...
Truncated

Test 22

Group: 3

Verdict: ACCEPTED

input
4997

correct output
691405606
436947443
82656395
514529009
783319673
...

user output
691405606
436947443
82656395
514529009
783319673
...
Truncated

Test 23

Group: 3

Verdict: ACCEPTED

input
4998

correct output
829675470
688714502
189351950
956110193
20883331
...

user output
829675470
688714502
189351950
956110193
20883331
...
Truncated

Test 24

Group: 3

Verdict: ACCEPTED

input
4999

correct output
343936737
47032567
190931571
827280581
160866637
...

user output
343936737
47032567
190931571
827280581
160866637
...
Truncated

Test 25

Group: 3

Verdict: ACCEPTED

input
5000

correct output
364064601
633559852
352848841
666954216
428009512
...

user output
364064601
633559852
352848841
666954216
428009512
...
Truncated