This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
#define mod 1000000007
using namespace std;
typedef long long ll;
int n, a, b;
inline int add(int a, int b)
{
if(!b)
return a;
int x = a+b;
if(x >= mod)
x -= mod;
else
if(x < 0)
x += mod;
return x;
}
ll mul(ll a, ll b)
{
return (a * b) % mod;
}
ll dp[2002][2002];
int main()
{
std::ifstream input;
input.open("kangaroo.in");
std::ofstream output;
output.open("kangaroo.out");
input >> n >> a >> b;
dp[1][1] = 1;
for(int i = 2; i <= n; ++i)
for(int j = 1; j <= n; ++j)
{
if(i == a || i == b)
dp[i][j] = add(dp[i-1][j-1], dp[i-1][j]);
else
dp[i][j] = add(mul(dp[i-1][j+1], j), mul(dp[i-1][j-1], j - (i > a) - (i > b)));
}
output << dp[n][1];
return 0;
}
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