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 TASK "long"
#define fi first
#define se second
#define ll long long
#define pb push_back
#define ALL(x) (x).begin(), (x).end()
#define GETBIT(mask, i) ((mask) >> (i) & 1)
#define MASK(i) ((1LL) << (i))
#define SZ(x) ((int)(x).size())
#define mp make_pair
#define CNTBIT(mask) __builtin_popcount(mask)
template<class X, class Y> bool maximize(X &x, Y y){ if (x < y) {x = y; return true;} return false;};
template<class X, class Y> bool minimize(X &x, Y y){ if (x > y) {x = y; return true;} return false;};
typedef pair<int, int> ii;
const int N = 2000 + 5;
const int inf = 1e9 + 7;
const long long INF = (long long)1e18 + 7;
const int mod = 1e9 + 7;
int calPw(int x, int y) {
int ans = 1;
while(y) {
if (y & 1) ans = 1LL * ans * x % mod;
x = 1LL * x * x % mod;
y >>= 1;
}
return ans;
}
int n, s, t;
int dp[N][N];
void read() {
cin >> n >> s >> t;
}
void sub1() {
vector<int> pos;
for(int i = 1; i <= n; i++) if (i != s && i != t) pos.push_back(i);
int ans = 0;
do {
int pre = s;
bool ok = 1;
for(int i = 0; i < SZ(pos); i++) {
int cur = pos[i];
int nxt = (i + 1 < SZ(pos) ? pos[i + 1] : t);
if (cur > pre) ok &= (cur > nxt);
if (cur < pre) ok &= (cur < nxt);
pre = pos[i];
}
ans += ok;
}
while(next_permutation(ALL(pos)));
cout << ans;
}
void add(int &x, int y) {
x += y;
if (x >= mod) x -= mod;
}
void sub(int &x, int y) {
x -= y;
if (x < 0) x += mod;
}
int mul(int x, int y) {
return 1LL * x * y % mod;
}
void solve() {
if (s == t) {
cout << 0;
return;
}
if (n <= 8) {
sub1();
return;
}
dp[1][1] = 1;
for(int i = 1; i <= n; i++) {
for(int j = 1; j <= i; j++) {
if (i == s || i == t) {
add(dp[i][j], dp[i - 1][j - 1]); // create new component
add(dp[i][j], dp[i - 1][j]); // combine i to one of 1->jth block, ith just begin or end of block
}
else {
add(dp[i][j], mul(dp[i - 1][j + 1], j)); // connect two components
add(dp[i][j], mul(dp[i - 1][j - 1], j - (i > s) - (i > t)));
}
}
}
cout << dp[n][1];
}
signed main() {
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
if (fopen(TASK".inp", "r")) {
freopen(TASK".inp", "r", stdin);
freopen(TASK".out", "w", stdout);
}
int test = 1;
// cin >> test;
while(test--) {
read();
solve();
}
return 0;
}
// rmq - rmq2d
// hash
// fw - fw2d
// segtree
Compilation message (stderr)
kangaroo.cpp: In function 'int main()':
kangaroo.cpp:92:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
92 | freopen(TASK".inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
kangaroo.cpp:93:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
93 | freopen(TASK".out", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
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