이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include <iostream>
#include <cstring>
#include <vector>
#include <algorithm>
#include <deque>
#include <set>
#include <utility>
#include <array>
#pragma GCC optimize("Ofast,unroll-loops")
#pragma GCC target("avx2,tune=native")
using namespace std;
#define ALL(x) x.begin(), x.end()
#define ShinLena cin.tie(nullptr)->sync_with_stdio(false);
using ll = long long;
#define N 2005
const ll M = 1000000007;
template <int MOD=M>
struct Modular {
int value;
static const int MOD_value = MOD;
Modular(long long v = 0) {
if (v > MOD) value = v % MOD; else value = v; if (value < 0) value += MOD;
}
Modular(long long a, long long b) : value(0){ *this += a; *this /= b;}
Modular& operator+=(Modular const& b) {value += b.value; if (value >= MOD) value -= MOD; return *this;}
Modular& operator-=(Modular const& b) {value -= b.value; if (value < 0) value += MOD;return *this;}
Modular& operator*=(Modular const& b) {value = (long long)value * b.value % MOD;return *this;}
friend Modular mexp(Modular a, long long e) {
Modular res = 1; while (e) { if (e&1) res *= a; a *= a; e >>= 1; }
return res;
}
friend Modular inverse(Modular a) { return mexp(a, MOD - 2); }
Modular& operator/=(Modular const& b) { return *this *= inverse(b); }
friend Modular operator+(Modular a, Modular const b) { return a += b; }
friend Modular operator-(Modular a, Modular const b) { return a -= b; }
friend Modular operator-(Modular const a) { return 0 - a; }
friend Modular operator%(Modular const a, Modular const b) { return a.value % b.value; }
friend Modular operator*(Modular a, Modular const b) { return a *= b; }
friend Modular operator/(Modular a, Modular const b) { return a /= b; }
friend std::ostream& operator<<(std::ostream& os, Modular const& a) {return os << a.value;}
friend bool operator==(Modular const& a, Modular const& b) {return a.value == b.value;}
friend bool operator!=(Modular const& a, Modular const& b) {return a.value != b.value;}
};
ll n, cs, cf;
Modular<M> dp[2][N][2][2];
int main()
{
ShinLena;
cin >> n >> cs >> cf;
if (cs > cf) swap(cs, cf);
dp[0][0][0][0] = 1;
for (int I = 1, i = 1; i <= n; ++i, I ^= 1)
{
memset(dp[I], 0, sizeof *dp);
if (i == cs)
{
for (int j = 1; j <= i; ++j)
{
dp[I][j][0][0] = dp[!I][j-1][0][0];
dp[I][j][1][0] = dp[!I][j][0][0];
dp[I][j][0][1] = dp[!I][j-1][0][1];
dp[I][j][1][1] = dp[!I][j][0][1];
}
}
else if (i == cf)
{
for (int j = 1; j <= i; ++j)
{
dp[I][j][0][0] = dp[!I][j-1][0][0];
dp[I][j][1][0] = dp[!I][j-1][1][0];
dp[I][j][0][1] = dp[!I][j][0][0];
dp[I][j][1][1] = dp[!I][j][1][0];
}
}
else if (i < cs)
{
for (int j = 1; j <= i; ++j)
{
dp[I][j][0][0] = ((1ll * dp[!I][j-1][0][0] * j % M)
+ (1ll * dp[!I][j+1][0][0] * j % M)) % M;
dp[I][j][1][0] = ((1ll * dp[!I][j][0][0])
+ (1ll * dp[!I][j-1][1][0] * (j-1) % M)
+ (1ll * dp[!I][j+1][1][0] * j % M)) % M;
dp[I][j][0][1] = ((1ll * dp[!I][j][0][0])
+ (1ll * dp[!I][j-1][0][1] * (j-1) % M)
+ (1ll * dp[!I][j+1][0][1] * j % M)) % M;
dp[I][j][1][1] = ((1ll * dp[!I][j][1][0])
+ (1ll * dp[!I][j][0][1])
+ (1ll * dp[!I][j-1][1][1] * (j-2) % M)
+ (1ll * dp[!I][j+1][1][1])) % M;
}
}
else if (i < cf)
{
for (int j = 1; j <= i; ++j)
{
dp[I][j][0][0] = ((1ll * dp[!I][j-1][0][0] * (j-1) % M)
+ (1ll * dp[!I][j+1][0][0] * j % M)) % M;
dp[I][j][1][0] = ((0)
+ (1ll * dp[!I][j-1][1][0] * (j-1) % M)
+ (1ll * dp[!I][j+1][1][0] * j % M)) % M;
dp[I][j][0][1] = ((1ll * dp[!I][j][0][0])
+ (1ll * dp[!I][j-1][0][1] * (j-2) % M)
+ (1ll * dp[!I][j+1][0][1] * j % M)) % M;
dp[I][j][1][1] = ((1ll * dp[!I][j][1][0])
+ (0)
+ (1ll * dp[!I][j-1][1][1] * (j-2) % M)
+ (1ll * dp[!I][j+1][1][1])) % M;
}
}
else
{
for (int j = 1; j <= i; ++j)
{
dp[I][j][0][0] = ((1ll * dp[!I][j-1][0][0] * (j-2) % M)
+ (1ll * dp[!I][j+1][0][0] * j % M)) % M;
dp[I][j][1][0] = ((0)
+ (1ll * dp[!I][j-1][1][0] * (j-2) % M)
+ (1ll * dp[!I][j+1][1][0] * j % M)) % M;
dp[I][j][0][1] = ((0)
+ (1ll * dp[!I][j-1][0][1] * (j-2) % M)
+ (1ll * dp[!I][j+1][0][1] * j % M)) % M;
dp[I][j][1][1] = ((0)
+ (0)
+ (1ll * dp[!I][j-1][1][1] * (j-2) % M)
+ (1ll * dp[!I][j+1][1][1])) % M;
}
}
}
cout << (1ll * dp[n&1][1][0][0] + dp[n&1][1][1][0] + dp[n&1][1][0][1] + dp[n&1][1][1][1]) % M;
return 0;
}
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