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;
#define ll long long
#define all(aaa) aaa.begin(), aaa.end()
const int N = 205, MOD = 1e9 + 7;
int dp[N][N][N][2], pref[N][N][N][2];
void add(int &a, int b) {
a += b;
if (a >= MOD)
a -= MOD;
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int n, cs, cf;
cin >> n >> cs >> cf;
dp[2][2][1][1]++;
dp[2][1][2][0]++;
pref[2][2][1][1]++;
pref[2][2][2][1]++;
pref[2][1][2][0]++;
for (int i = 3; i <= n; i++) {
for (int k = 1; k <= i; k++) {
for (int j = 1; j <= i; j++) {
if (j != k) {
add(dp[i][k][j][0], pref[i - 1][k - (k > j)][j - 1][1]);
add(dp[i][k][j][1], pref[i - 1][k - (k > j)][i - 1][0]);
add(dp[i][k][j][1], -pref[i - 1][k - (k > j)][j][0]);
}
pref[i][k][j][0] = pref[i][k][j - 1][0];
pref[i][k][j][1] = pref[i][k][j - 1][1];
add(pref[i][k][j][0], dp[i][k][j][0]);
add(pref[i][k][j][1], dp[i][k][j][1]);
}
}
}
int ans = (dp[n][cf][cs][0] + dp[n][cf][cs][1]) % MOD;
cout << ans;
return 0;
}
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