CSES - Putka Open 2020 – 2/5 - Results
Submission details
Task:Planeetat
Sender:ArktinenKarpalo
Submission time:2020-09-27 04:54:34 +0300
Language:C++11
Status:READY
Result:49
Feedback
groupverdictscore
#1ACCEPTED24
#2ACCEPTED25
#30
Test results
testverdicttimegroup
#1ACCEPTED0.11 s1, 2, 3details
#2ACCEPTED0.11 s1, 2, 3details
#3ACCEPTED0.11 s1, 2, 3details
#4ACCEPTED0.11 s1, 2, 3details
#5ACCEPTED0.11 s1, 2, 3details
#6ACCEPTED0.11 s1, 2, 3details
#7ACCEPTED0.11 s1, 2, 3details
#8ACCEPTED0.11 s1, 2, 3details
#9ACCEPTED0.11 s1, 2, 3details
#10ACCEPTED0.11 s1, 2, 3details
#11ACCEPTED0.11 s2, 3details
#12ACCEPTED0.11 s2, 3details
#13ACCEPTED0.11 s2, 3details
#140.11 s3details
#150.11 s3details
#160.11 s3details
#170.11 s3details
#180.11 s3details
#190.11 s3details
#200.11 s3details
#210.11 s3details
#220.11 s3details
#230.11 s3details
#240.11 s3details
#250.11 s3details

Code

#include <bits/stdc++.h>
#define ll long long
#define ull unsigned long long
#define ld long double
#define M 1000000007

using namespace std;

ll ans[5511][5511];
ll pt(ll a, ll p) {
	ll b = 1;
	while(p) {
		if(p%2==1)
			b = (b*a)%M;
		p /= 2;
		a = (a*a)%M;
	}
	return b;
}

ll divv(ll a, ll b) {
	return (a*pt(b, M-2))%M;
}


ll kc[5555];
ll kertoma(ll luk) {
	return kc[luk];
}

ll pc[5555];
ll pot(ll p, ll e) {
	return pc[p];
}

int main() {
	cout.tie(0);
	cin.tie(0);
	ios_base::sync_with_stdio(0);
	pc[0] = 1;
	kc[0] = 1;
	for(int i=1; i<=5000; i++) {
		kc[i] = (kc[i-1]*i)%M;
		pc[i] = 1;
		for(int j=1; j<=i; j++)
			pc[i] = (pc[i]*i)%M;
	
	}
	for(int i=1; i<=5000; i++) {
		ans[i][i] = 1;
	}
	ans[0][1] = 1;

	for(int i=2; i<=100; i++) {
		ans[i][1] = ((pot(i,i)-1)+M)%M;
		for(int j=i-1; j>=2; j--) {
			ans[i][j] = 0;
			for(int k=1; k<i; k++) {
				if(i-k < j-1)
					continue;
				ans[i][j] += ((ans[k][1]*ans[i-k][j-1])%M*divv(kertoma(i),(kertoma(i-k)*kertoma(k))%M))%M;
				ans[i][j] %= M;
			}
			ans[i][j] = divv(ans[i][j], j);
			ans[i][1] = ((ans[i][1]-ans[i][j])+M)%M;
		}
	}
	int n;
	cin >> n;
	for(int i=1; i<=n; i++)
		cout << ans[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
...

Test 12

Group: 2, 3

Verdict: ACCEPTED

input
50

correct output
637699856
613177596
194234103
50828885
988168359
...

user output
637699856
613177596
194234103
50828885
988168359
...

Test 13

Group: 2, 3

Verdict: ACCEPTED

input
100

correct output
894456323
406549429
962038245
430640330
61348310
...

user output
894456323
406549429
962038245
430640330
61348310
...

Test 14

Group: 3

Verdict:

input
666

correct output
189730587
968711879
553374698
53051125
139917248
...

user output
0
0
0
0
0
...

Test 15

Group: 3

Verdict:

input
3333

correct output
79235821
455292218
627100211
591681254
695866885
...

user output
0
0
0
0
0
...

Test 16

Group: 3

Verdict:

input
4991

correct output
482116496
245260697
151422537
180441123
318466624
...

user output
0
0
0
0
0
...

Test 17

Group: 3

Verdict:

input
4992

correct output
141010647
787351178
684701591
872974815
631476284
...

user output
0
0
0
0
0
...

Test 18

Group: 3

Verdict:

input
4993

correct output
504034249
588971460
281533415
928250892
416697844
...

user output
0
0
0
0
0
...

Test 19

Group: 3

Verdict:

input
4994

correct output
266134603
90079109
544661648
812099750
17249410
...

user output
0
0
0
0
0
...

Test 20

Group: 3

Verdict:

input
4995

correct output
833898560
663839791
109127071
321675160
86285359
...

user output
0
0
0
0
0
...

Test 21

Group: 3

Verdict:

input
4996

correct output
721158645
167929822
115103278
491345159
114397872
...

user output
0
0
0
0
0
...

Test 22

Group: 3

Verdict:

input
4997

correct output
691405606
436947443
82656395
514529009
783319673
...

user output
0
0
0
0
0
...

Test 23

Group: 3

Verdict:

input
4998

correct output
829675470
688714502
189351950
956110193
20883331
...

user output
0
0
0
0
0
...

Test 24

Group: 3

Verdict:

input
4999

correct output
343936737
47032567
190931571
827280581
160866637
...

user output
0
0
0
0
0
...

Test 25

Group: 3

Verdict:

input
5000

correct output
364064601
633559852
352848841
666954216
428009512
...

user output
0
0
0
0
0
...