#include <bits/stdc++.h>
using namespace std;
using LL=long long;
#define FOR(i,l,r) for(int i=(l);i<=(r);++i)
#define REP(i,n) FOR(i,0,(n)-1)
#define ssize(x) int(x.size())
template<class A,class B>auto&operator<<(ostream&o,pair<A,B>p){return o<<'('<<p.first<<", "<<p.second<<')';}
template<class T>auto operator<<(ostream&o,T x)->decltype(x.end(),o){o<<'{';int i=0;for(auto e:x)o<<(", ")+2*!i++<<e;return o<<'}';}
#ifdef DEBUG
#define debug(x...) cerr<<"["#x"]: ",[](auto...$){((cerr<<$<<"; "),...);}(x),cerr<<'\n'
#else
#define debug(...) {}
#endif
int main() {
cin.tie(0)->sync_with_stdio(0);
const long long mod = 1e9 + 7;
int n, cs, cf;
cin >> n >> cs >> cf;
debug(n, cs, cf);
if (cs > cf) {
swap(cs, cf);
}
debug(cs, cf);
vector <vector <long long> >dp(n + 1, vector <long long> (n + 1, 0ll));
dp[1][1] = 1;
FOR(i, 1, n - 1) {
FOR(j, 1, n - 1) {
if (i + 1 == cs || i + 1 == cf) {
dp[i + 1][j + 1] = (dp[i + 1][j + 1] + dp[i][j]) % mod;
dp[i + 1][j] = (dp[i + 1][j] + dp[i][j]) % mod;
}
else if (i < cs) {
dp[i + 1][j + 1] = (dp[i + 1][j + 1] + dp[i][j] * (j + 1)) % mod;
dp[i + 1][j - 1] = (dp[i + 1][j - 1] + dp[i][j] * (j - 1)) % mod;
}
else if (i < cf) {
dp[i + 1][j + 1] = (dp[i + 1][j + 1] + dp[i][j] * j) % mod;
dp[i + 1][j - 1] = (dp[i + 1][j - 1] + dp[i][j] * (j - 1)) % mod;
}
else { // i >= cf
dp[i + 1][j + 1] = (dp[i + 1][j + 1] + dp[i][j] * (j - 1)) % mod;
dp[i + 1][j - 1] = (dp[i + 1][j - 1] + dp[i][j] * (j - 1)) % mod;
}
}
}
debug(dp);
cout << dp[n][1] << endl;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
308 KB |
Output is correct |
4 |
Correct |
1 ms |
204 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
204 KB |
Output is correct |
7 |
Correct |
1 ms |
204 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
204 KB |
Output is correct |
10 |
Correct |
1 ms |
204 KB |
Output is correct |
11 |
Correct |
0 ms |
204 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
308 KB |
Output is correct |
4 |
Correct |
1 ms |
204 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
204 KB |
Output is correct |
7 |
Correct |
1 ms |
204 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
204 KB |
Output is correct |
10 |
Correct |
1 ms |
204 KB |
Output is correct |
11 |
Correct |
0 ms |
204 KB |
Output is correct |
12 |
Correct |
1 ms |
588 KB |
Output is correct |
13 |
Correct |
1 ms |
564 KB |
Output is correct |
14 |
Correct |
1 ms |
588 KB |
Output is correct |
15 |
Correct |
1 ms |
588 KB |
Output is correct |
16 |
Correct |
1 ms |
588 KB |
Output is correct |
17 |
Correct |
1 ms |
588 KB |
Output is correct |
18 |
Correct |
1 ms |
460 KB |
Output is correct |
19 |
Correct |
1 ms |
568 KB |
Output is correct |
20 |
Correct |
1 ms |
588 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
308 KB |
Output is correct |
4 |
Correct |
1 ms |
204 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
204 KB |
Output is correct |
7 |
Correct |
1 ms |
204 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
204 KB |
Output is correct |
10 |
Correct |
1 ms |
204 KB |
Output is correct |
11 |
Correct |
0 ms |
204 KB |
Output is correct |
12 |
Correct |
1 ms |
588 KB |
Output is correct |
13 |
Correct |
1 ms |
564 KB |
Output is correct |
14 |
Correct |
1 ms |
588 KB |
Output is correct |
15 |
Correct |
1 ms |
588 KB |
Output is correct |
16 |
Correct |
1 ms |
588 KB |
Output is correct |
17 |
Correct |
1 ms |
588 KB |
Output is correct |
18 |
Correct |
1 ms |
460 KB |
Output is correct |
19 |
Correct |
1 ms |
568 KB |
Output is correct |
20 |
Correct |
1 ms |
588 KB |
Output is correct |
21 |
Correct |
6 ms |
3660 KB |
Output is correct |
22 |
Correct |
6 ms |
4172 KB |
Output is correct |
23 |
Correct |
5 ms |
4792 KB |
Output is correct |
24 |
Correct |
33 ms |
31732 KB |
Output is correct |
25 |
Correct |
36 ms |
31692 KB |
Output is correct |
26 |
Correct |
33 ms |
31640 KB |
Output is correct |
27 |
Correct |
37 ms |
31420 KB |
Output is correct |
28 |
Correct |
23 ms |
17872 KB |
Output is correct |