CSES - Putka Open 2020 – 2/5 - Results
Submission details
Task:Planeetat
Sender:tykkipeli
Submission time:2020-09-26 06:50:54 +0300
Language:C++11
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
#12ACCEPTED0.04 s2, 3details
#13ACCEPTED0.24 s2, 3details
#14--3details
#15--3details
#16--3details
#17--3details
#18--3details
#19--3details
#20--3details
#21--3details
#22--3details
#23--3details
#24--3details
#25--3details

Code

#include <bits/stdc++.h>
using namespace std;
 
typedef long long ll;

ll M = 1e9 + 7;
ll ans[10101];
ll lol[10101];
ll fact[10101];
ll dp[5005][5005];

ll binpow(ll a, ll b, ll m) {
    if (b == -1) return binpow(a,M-2,M);
    ll ans = 1;
    while (b > 0) {
        if (b&1) ans = ans*a%m;
        a = a*a%m;
        b >>= 1;
    }
    return ans;
}

ll nCr(ll n, ll k) {
    ll ans = fact[n];
    ans *= binpow(fact[k], M-2, M);
    ans %= M;
    ans *= binpow(fact[n-k], M-2, M);
    ans %= M;
    return ans;
}

void preCalcFact(int n) {
    fact[0] = 1;
    for (int i = 1; i <= n; i++) {
        fact[i] = fact[i-1]*i;
        fact[i] %= M;
    }
}
 
int main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    int n;
    cin >> n;
    preCalcFact(n);
    for (int i = 1; i <= n; i++) {
        for (int j = 1 ; j <= i; j++) {
            lol[i] += ((nCr(i,j)*fact[j])%M)*binpow(i,i-j-1,M);
            lol[i] %= M;
        }
    }
    dp[0][0] = 1;
    for (int i = 1; i <= n; i++) {
        for (int j = 1; j <= i; j++) {
            for (int k = 1; k <= i-j+1; k++) {
                dp[i][j] += (lol[k]*dp[i-k][j-1]%M)*nCr(i-1,k-1);
                dp[i][j] %= M;
            }
        }
    }
    for (int i = 1; i <= n; i++) cout << dp[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
(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)