CSES - Putka Open 2015 – 1/6 - Results
Submission details
Task:Lähetit
Sender:
Submission time:2015-07-19 22:51:32 +0300
Language:C++
Status:READY
Result:100
Feedback
groupverdictscore
#1ACCEPTED12
#2ACCEPTED23
#3ACCEPTED65
Test results
testverdicttimegroup
#1ACCEPTED0.09 s1details
#2ACCEPTED0.08 s1details
#3ACCEPTED0.08 s1details
#4ACCEPTED0.07 s1details
#5ACCEPTED0.07 s1details
#6ACCEPTED0.08 s2details
#7ACCEPTED0.09 s2details
#8ACCEPTED0.09 s2details
#9ACCEPTED0.09 s2details
#10ACCEPTED0.09 s2details
#11ACCEPTED0.09 s3details
#12ACCEPTED0.09 s3details
#13ACCEPTED0.07 s3details
#14ACCEPTED0.08 s3details
#15ACCEPTED0.08 s3details

Code

#include <iostream>
using namespace std;
typedef long long ll;

const ll mod=1e9+7;

ll dp1[111][211];
ll dp2[111][211];

int main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    int n,k;
    cin>>n>>k;
    if (k>2*n){
        cout<<0<<endl;
        return 0;
    }
    int o=n;
    int e=n*2-1-o;
    dp1[0][0]=1;
    for (int i=0;i<o;i++){
        for (int j=0;j<=k;j++){
            int s=i+1;
            if (s%2==0) s--;
            dp1[i+1][j]+=dp1[i][j];
            dp1[i+1][j]%=mod;

            if (s>j){
                dp1[i+1][j+1]+=(ll)dp1[i][j]*(s-j);
                dp1[i+1][j+1]%=mod;
            }
        }
    }

    dp2[0][0]=1;
    for (int i=0;i<e;i++){
        for (int j=0;j<=k;j++){
            int s=i+2;
            if (s%2==1) s--;
            dp2[i+1][j]+=dp2[i][j];
            dp2[i+1][j]%=mod;

            if (s>j){
                dp2[i+1][j+1]+=(ll)dp2[i][j]*(s-j);
                dp2[i+1][j+1]%=mod;
            }
        }
    }
    ll v=0;
    for (int j=0;j<=k;j++){
        v+=dp1[o][j]*dp2[e][k-j];
        v%=mod;
    }
    cout<<v<<endl;
}

Test details

Test 1

Group: 1

Verdict: ACCEPTED

input
5 2

correct output
240

user output
240

Test 2

Group: 1

Verdict: ACCEPTED

input
5 4

correct output
2728

user output
2728

Test 3

Group: 1

Verdict: ACCEPTED

input
5 6

correct output
1960

user output
1960

Test 4

Group: 1

Verdict: ACCEPTED

input
5 8

correct output
32

user output
32

Test 5

Group: 1

Verdict: ACCEPTED

input
5 10

correct output
0

user output
0

Test 6

Group: 2

Verdict: ACCEPTED

input
10 4

correct output
1809464

user output
1809464

Test 7

Group: 2

Verdict: ACCEPTED

input
10 8

correct output
209594075

user output
209594075

Test 8

Group: 2

Verdict: ACCEPTED

input
10 12

correct output
811277399

user output
811277399

Test 9

Group: 2

Verdict: ACCEPTED

input
10 16

correct output
17275136

user output
17275136

Test 10

Group: 2

Verdict: ACCEPTED

input
10 20

correct output
0

user output
0

Test 11

Group: 3

Verdict: ACCEPTED

input
100 40

correct output
126883191

user output
126883191

Test 12

Group: 3

Verdict: ACCEPTED

input
100 80

correct output
785497039

user output
785497039

Test 13

Group: 3

Verdict: ACCEPTED

input
100 120

correct output
324216296

user output
324216296

Test 14

Group: 3

Verdict: ACCEPTED

input
100 160

correct output
895190039

user output
895190039

Test 15

Group: 3

Verdict: ACCEPTED

input
100 200

correct output
0

user output
0