Submission #954930

#TimeUsernameProblemLanguageResultExecution timeMemory
954930HandoKangaroo (CEOI16_kangaroo)C++17
100 / 100
63 ms31860 KiB
#include <bits/stdc++.h> #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> using namespace std; using namespace __gnu_pbds; #define ar array #define vt vector #define pq priority_queue #define pu push #define pub push_back #define em emplace #define emb emplace_back #define mt make_tuple #define all(x) x.begin(), x.end() #define allr(x) x.rbegin(), x.rend() #define allp(x, l, r) x.begin() + l, x.begin() + r #define len(x) (int)x.size() #define uniq(x) unique(all(x)), x.end() using ll = long long; using ld = long double; using ull = unsigned long long; template<class Fun> class y_combinator_result { Fun fun_; public: template<class T> explicit y_combinator_result(T &&fun): fun_(std::forward<T>(fun)) {} template<class ...Args> decltype(auto) operator()(Args &&...args) { return fun_(std::ref(*this), std::forward<Args>(args)...); } }; template<class Fun> decltype(auto) y_combinator(Fun &&fun) { return y_combinator_result<std::decay_t<Fun>>(std::forward<Fun>(fun)); } template <class T, size_t N> void re(array <T, N>& x); template <class T> void re(vt <T>& x); template <class T> void re(T& x) { cin >> x; } template <class T, class... M> void re(T& x, M&... args) { re(x), re(args...); } template <class T> void re(vt <T>& x) { for(auto& it : x) re(it); } template <class T, size_t N> void re(array <T, N>& x) { for(auto& it : x) re(it); } template <class T, size_t N> void wr(const array <T, N>& x); template <class T> void wr(const vt <T>& x); template <class T> void wr(const T& x) { cout << x; } template <class T, class ...M> void wr(const T& x, const M&... args) { wr(x), wr(args...); } template <class T> void wr(const vt <T>& x) { for(auto it : x) wr(it, ' '); } template <class T, size_t N> void wr(const array <T, N>& x) { for(auto it : x) wr(it, ' '); } template<class T, class... M> auto mvt(size_t n, M&&... args) { if constexpr(sizeof...(args) == 1) return vector<T>(n, args...); else return vector(n, mvt<T>(args...)); } void set_fixed(int p = 0) { cout << fixed << setprecision(p); } void set_scientific() { cout << scientific; } void Open(const string& name) { #ifndef ONLINE_JUDGE (void)!freopen((name + ".in").c_str(), "r", stdin); (void)!freopen((name + ".out").c_str(), "w", stdout); #endif } const int mod = 1e9 + 7; template <const int MOD> struct modint { ll x; modint(): x(0) {} modint(ll x): x((x % MOD + MOD) % MOD) {} inline modint <MOD>& fix() { x = (x % MOD + MOD) % MOD; return *this; } inline modint <MOD> operator + (modint<MOD> other) const { ll c = x + other.x; return modint<MOD>(c); } inline modint <MOD> operator - (modint<MOD> other) const { ll c = x - other.x; return modint<MOD>(c); } inline modint <MOD> operator * (modint<MOD> other) const { ll c = (ll)x * other.x; return modint<MOD>(c); } inline modint <MOD>& operator += (modint<MOD> other) { x += other.x; this-> fix(); return *this; } inline modint <MOD>& operator -= (modint<MOD> other) { x -= other.x; this-> fix(); return *this; } inline modint <MOD>& operator *= (modint<MOD> other) { x = (x * other.x) % MOD; this-> fix(); return *this; } inline modint <MOD> operator - () const { return modint<MOD>(-x); } // (++x) inline modint<MOD>& operator++() { x = (x + 1); this-> fix(); return *this; } // (x++) inline modint<MOD> operator++(int) { modint<MOD> tmp(*this); ++(*this); return tmp; } // (--x) inline modint<MOD>& operator--() { x = (x - 1); this-> fix(); return *this; } // (x--) inline modint<MOD> operator--(int) { modint<MOD> tmp(*this); --(*this); return tmp; } explicit operator long long() const { return x; } ll inv(ll a, ll b) const { return 1 < a? b - inv(b % a, a) * b / a : 1; } modint<MOD> lgput(modint<MOD> a, ll b) const { modint<MOD> res = 1; while (b) { if (b & 1) res = res * a; a = a * a; b >>= 1; } return res; } inline modint<MOD> operator^(ll b) { return lgput(*this, b); } inline modint<MOD> operator ~() const { return modint<MOD>(inv(this->x, MOD)); } inline modint<MOD> operator / (modint<MOD> other) const { return *this * (~other); } inline modint<MOD>& operator /= (modint<MOD> other) { return *this *= (~other); } inline bool operator == (modint<MOD> other) const { return x == other.x; } inline bool operator != (modint<MOD> other) const { return x != other.x; } inline bool operator < (modint<MOD> other) const { return x < other.x; } inline bool operator > (modint<MOD> other) const { return x > other.x; } }; template <const int MOD> modint<MOD> operator + (ll value, modint<MOD> n) { return modint<MOD>(modint<MOD>(value) + n); } template <const int MOD> modint<MOD> operator + (int value, modint<MOD> n) { return modint<MOD>(modint<MOD>(value) + n); } template <const int MOD> modint<MOD> operator - (ll value, modint<MOD> n) { return modint<MOD>(modint<MOD>(value) - n); } template <const int MOD> modint<MOD> operator - (int value, modint<MOD> n) { return modint<MOD>(modint<MOD>(value) - n); } template <const int MOD> modint<MOD> operator * (ll value, modint<MOD> n) { return modint<MOD>(modint<MOD>(value) * n); } template <const int MOD> modint<MOD> operator * (int value, modint<MOD> n) { return modint<MOD>(modint<MOD>(value) * n); } template <const int MOD> istream& operator >> (istream& in, modint<MOD> n) { return in >> n.x; } template <const int MOD> ostream& operator << (ostream& out, modint<MOD> n) { return out << n.x; } using mint = modint<mod>; void solve() { int n, a, b; re(n, a, b); vt <vt <mint>> dp(n + 1, vt <mint>(n + 1)); dp[1][1] = 1; for (int i = 2; i <= n; ++i) { for (int j = 1; j <= n; ++j) { if (i == a || i == b) dp[i][j] = dp[i - 1][j - 1] + dp[i - 1][j]; else dp[i][j] = dp[i - 1][j + 1] * j + dp[i - 1][j - 1] * (j - (i >= a) - (i >= b)); } } wr(dp[n][1], '\n'); } int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); //Open(""); int t = 1; for(;t;t--) { solve(); } return 0; }
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