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>
using namespace std;
typedef long long ll;
const int N = 2000 + 10, M = 1e6 + 6, mod = 1e9 + 7;
int n;
int dp[N][N];
int add(int a, int b) {
return (a + b) % mod;
}
int mul(int a, int b) {
return (1LL * a * b) % mod;
}
int s, e;
int sol(int i, int j) {
if (i == n)
return (j == 1);
int &ret = dp[i][j];
if (~ret)
return ret;
if (i + 1 == s) {
ret = sol(i + 1, j); // add to the first comp
ret = add(ret, sol(i + 1, j + 1)); // create new comp
return ret;
}
if (i + 1 == e) {
ret = sol(i + 1, j); // add to the last comp
ret = add(ret, sol(i + 1, j + 1)); // create new comp
return ret;
}
// add newComp
ret = mul(sol(i + 1, j + 1), (j + 1 - (i + 1 < s) + (i + 1 < e)));
// merge twoComps
if (j)
ret = add(ret, sol(i + 1, j - 1) * (j - 1));
return ret;
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
memset(dp, -1, sizeof dp);
cin >> n >> s >> e;
cout << sol(0, 0);
}
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