#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using ll = long long;
using namespace std;
using namespace __gnu_pbds;
template<typename T>
using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
const double pi = acos(-1);
const int N = 2e3 + 5, K = 1e3 + 5, SQ = 500, M = 1e9 + 7;
//#define TESTS
//#define INTERACTIVE
//#define COMMUNICATION
/*
* Remember who you are.
*/
void pre() {
}
int dp[N][N][3], vis[N][N][3], vid, n, s, e;
int rec(int i, int j, int k)
{
if (j < 0)
return 0;
if (i == n)
return j == 1;
auto &ret = dp[i][j][k], &v = vis[i][j][k];
if (v == vid)
return ret;
v = vid;
ret = 0;
int nk = k;
if (s == i)
nk |= 1;
if (e == i)
nk |= 2;
if (s == i || e == i)
ret = rec(i + 1, j + 1, nk) + rec(i + 1, j, nk);
else
ret = 1ll * rec(i + 1, j + 1, nk) * (j + 1 - __builtin_popcount(k)) % M
+
1ll * rec(i + 1, j - 1, nk) * (j - 1) % M;
return ret %= M;
}
void solve() {
cin >> n >> s >> e;
s--, e--;
++vid;
cout << rec(0, 0, 0);
// vector<vector<int>>dp(n + 1, vector<int>(n + 1));
// dp[1][1] = 1;
// for (int i = 2; i <= n; ++i)
// for (int j = 1; j <= n; ++j)
// if (i == s || i == e)
// dp[i][j] = (dp[])
}
void solve2() {
}
signed main() {
ios::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr);
#ifdef CAROOT
#ifndef INTERACTIVE
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
#endif
#else
freopen("kangaroo.in", "r", stdin);
freopen("kangaroo.out", "w", stdout);
#endif
int tt = 1;
pre();
#ifdef COMMUNICATION
string run;
cin >> run;
#endif
#ifdef TESTS
cin >> tt;
#endif
for (int tc = 1; tc <= tt; ++tc) {
#ifdef COMMUNICATION
if (run == "first")
solve();
else
solve2();
#else
solve();
#endif
cout << '\n';
}
}
Compilation message (stderr)
kangaroo.cpp: In function 'int main()':
kangaroo.cpp:74:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
74 | freopen("kangaroo.in", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~
kangaroo.cpp:75:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
75 | freopen("kangaroo.out", "w", stdout);
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