結果
問題 | No.1596 Distance Sum in 2D Plane |
ユーザー | hamray |
提出日時 | 2021-07-09 21:59:25 |
言語 | C++14 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 73 ms / 2,000 ms |
コード長 | 6,726 bytes |
コンパイル時間 | 1,740 ms |
コンパイル使用メモリ | 174,212 KB |
実行使用メモリ | 7,936 KB |
最終ジャッジ日時 | 2024-07-01 16:19:06 |
合計ジャッジ時間 | 3,773 ms |
ジャッジサーバーID (参考情報) |
judge2 / judge5 |
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テストケース
テストケース表示入力 | 結果 | 実行時間 実行使用メモリ |
---|---|---|
testcase_00 | AC | 13 ms
7,808 KB |
testcase_01 | AC | 13 ms
7,808 KB |
testcase_02 | AC | 71 ms
7,808 KB |
testcase_03 | AC | 73 ms
7,808 KB |
testcase_04 | AC | 72 ms
7,808 KB |
testcase_05 | AC | 72 ms
7,808 KB |
testcase_06 | AC | 71 ms
7,936 KB |
testcase_07 | AC | 70 ms
7,808 KB |
testcase_08 | AC | 71 ms
7,808 KB |
testcase_09 | AC | 73 ms
7,808 KB |
testcase_10 | AC | 71 ms
7,936 KB |
testcase_11 | AC | 62 ms
7,808 KB |
testcase_12 | AC | 60 ms
7,808 KB |
testcase_13 | AC | 59 ms
7,808 KB |
testcase_14 | AC | 12 ms
7,936 KB |
testcase_15 | AC | 13 ms
7,808 KB |
testcase_16 | AC | 13 ms
7,808 KB |
testcase_17 | AC | 12 ms
7,808 KB |
testcase_18 | AC | 12 ms
7,808 KB |
testcase_19 | AC | 13 ms
7,808 KB |
ソースコード
#include <bits/stdc++.h> //#include <atcoder/all> //using namespace atcoder; #pragma GCC target ("avx2") #pragma GCC optimization ("O3") #pragma GCC optimization ("unroll-loops") using namespace std; typedef vector<int> VI; typedef vector<VI> VVI; typedef vector<string> VS; typedef pair<int, int> PII; typedef pair<int, int> pii; typedef pair<long long, long long> PLL; typedef pair<int, PII> TIII; typedef long long ll; typedef long double ld; typedef unsigned long long ull; #define FOR(i, s, n) for (int i = s; i < (int)n; ++i) #define REP(i, n) FOR(i, 0, n) #define rep(i, a, b) for (int i = a; i < (b); ++i) #define trav(a, x) for (auto &a : x) #define all(x) x.begin(), x.end() #define MOD 1000000007 template<class T1, class T2> inline bool chmax(T1 &a, T2 b) {if (a < b) {a = b; return true;} return false;} template<class T1, class T2> inline bool chmin(T1 &a, T2 b) {if (a > b) {a = b; return true;} return false;} const double EPS = 1e-12, PI = acos(-1); const double pi = 3.141592653589793238462643383279; //ここから編集 typedef string::const_iterator State; ll GCD(ll a, ll b){ return (b==0)?a:GCD(b, a%b); } ll LCM(ll a, ll b){ return a/GCD(a, b) * b; } template< int mod > struct ModInt { int x; ModInt() : x(0) {} ModInt(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {} ModInt &operator+=(const ModInt &p) { if((x += p.x) >= mod) x -= mod; return *this; } ModInt &operator-=(const ModInt &p) { if((x += mod - p.x) >= mod) x -= mod; return *this; } ModInt &operator*=(const ModInt &p) { x = (int) (1LL * x * p.x % mod); return *this; } ModInt &operator/=(const ModInt &p) { *this *= p.inverse(); return *this; } ModInt operator-() const { return ModInt(-x); } ModInt operator+(const ModInt &p) const { return ModInt(*this) += p; } ModInt operator-(const ModInt &p) const { return ModInt(*this) -= p; } ModInt operator*(const ModInt &p) const { return ModInt(*this) *= p; } ModInt operator/(const ModInt &p) const { return ModInt(*this) /= p; } bool operator==(const ModInt &p) const { return x == p.x; } bool operator!=(const ModInt &p) const { return x != p.x; } ModInt inverse() const { int a = x, b = mod, u = 1, v = 0, t; while(b > 0) { t = a / b; swap(a -= t * b, b); swap(u -= t * v, v); } return ModInt(u); } ModInt pow(int64_t n) const { ModInt ret(1), mul(x); while(n > 0) { if(n & 1) ret *= mul; mul *= mul; n >>= 1; } return ret; } friend ostream &operator<<(ostream &os, const ModInt &p) { return os << p.x; } friend istream &operator>>(istream &is, ModInt &a) { int64_t t; is >> t; a = ModInt< mod >(t); return (is); } static int get_mod() { return mod; } }; using modint = ModInt< 1000000007 >; template< typename T > struct Combination { vector< T > _fact, _rfact, _inv; Combination(int sz) : _fact(sz + 1), _rfact(sz + 1), _inv(sz + 1) { _fact[0] = _rfact[sz] = _inv[0] = 1; for(int i = 1; i <= sz; i++) _fact[i] = _fact[i - 1] * i; _rfact[sz] /= _fact[sz]; for(int i = sz - 1; i >= 0; i--) _rfact[i] = _rfact[i + 1] * (i + 1); for(int i = 1; i <= sz; i++) _inv[i] = _rfact[i] * _fact[i - 1]; } inline T fact(int k) const { return _fact[k]; } inline T rfact(int k) const { return _rfact[k]; } inline T inv(int k) const { return _inv[k]; } T P(int n, int r) const { if(r < 0 || n < r) return 0; return fact(n) * rfact(n - r); } T C(int p, int q) const { if(q < 0 || p < q) return 0; return fact(p) * rfact(q) * rfact(p - q); } T H(int n, int r) const { if(n < 0 || r < 0) return (0); return r == 0 ? 1 : C(n + r - 1, r); } }; ll modpow(ll x, ll n, ll mod) { ll res = 1; while(n) { if(n&1) res = (res * x) % mod; x = (x * x) % mod; n >>= 1; } return res; } inline long long mod(long long a, long long m) { return (a % m + m) % m; } template<typename T> struct Matrix{ int row, col; std::vector<std::vector<T>> A; Matrix() { row = col = 1; } Matrix(int h, int w, T val = 0) : row(h), col(w), A(row, std::vector<T>(col, val)){} Matrix(const std::vector<std::vector<T>> &v) : row(v.size()), col(v[0].size()), A(v){} int GetRow() const { return row; } int GetCol() const { return col; } const std::vector<T>& operator[](int i) const { return A[i]; } std::vector<T>& operator[](int i) { return A[i]; } Matrix E(int n) { Matrix M(n, n); for(int i=0; i<n; i++) M[i][i] = 1; return M; } Matrix& operator+=(const Matrix& B) { int n = GetRow(), m = GetCol(); assert(n == B.size()); assert(m == B[0].size()); Matrix C(n, m); for(int i=0; i<n; i++) { for(int j=0; j<m; j++) { C[i][j] = A[i][j] + B[i][j]; } } return *this = C; } Matrix& operator-=(const Matrix& B) { int n = GetRow(), m = GetCol(); assert(n == B.size()); assert(m == B[0].size()); Matrix C(n, m); for(int i=0; i<n; i++) { for(int j=0; j<m; j++) { C[i][j] = A[i][j] - B[i][j]; } } return *this = C; } Matrix& operator*=(const Matrix& B) { int k = GetRow(), l = GetCol(), n = B.GetRow(), m = GetCol(); assert(l == n); Matrix C(k, m); for(int i=0; i<k; i++) { for(int j=0; j<m; j++) { for(int k=0; k<n; k++) { C[i][j] += A[i][k] * B[k][j]; } } } return *this = C; } Matrix& operator^=(long long n) { Matrix B = Matrix::E(GetRow()); while(n > 0) { if(n&1) B = B * (*this); *this = (*this) * (*this); n >>= 1; } return *this = B; } Matrix operator+(const Matrix& B){ return Matrix(*this) += B; } Matrix operator-(const Matrix& B){ return Matrix(*this) -= B; } Matrix operator*(const Matrix& B){ return Matrix(*this) *= B; } Matrix operator^(long long n){ return Matrix(*this) ^= n; } friend std::ostream& operator<< (std::ostream& os, const Matrix& m) { for(int i=0; i<m.GetRow(); i++) { for(int j=0; j<m.GetCol(); j++) { if(j != 0) os << ' '; os << m.A[i][j]; } os << '\n'; } return os; } }; int main() { cin.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(12); int N, M; cin >> N >> M; vector<pair<int, int>> vp; Combination<modint> comb(401010); modint ans = comb.C(2*N, N) * 2*N; REP(i,M) { int t, x, y; cin >> t >> x >> y; if(t == 1) { ans -= comb.C(x+y, y) * comb.C(N-(x+1)+(N-y), N-y); }else{ ans -= comb.C(x+y, y) * comb.C(N-x+(N-(y+1)), N-x); } } cout << ans << endl; return 0; }