結果

問題 No.1596 Distance Sum in 2D Plane
ユーザー tomo0608tomo0608
提出日時 2021-07-09 21:51:12
言語 C++17
(gcc 11.2.0 + boost 1.78.0)
結果
AC  
実行時間 63 ms / 2,000 ms
コード長 7,068 bytes
コンパイル時間 4,936 ms
使用メモリ 7,964 KB
最終ジャッジ日時 2023-02-01 23:05:16
合計ジャッジ時間 7,006 ms
ジャッジサーバーID
（参考情報） 		judge13 / judge12
このコードへのチャレンジ（β）

テストケース

テストケース表示
入力 結果 実行時間
使用メモリ
testcase_00 AC 9 ms
7,860 KB
testcase_01 AC 10 ms
7,856 KB
testcase_02 AC 63 ms
7,780 KB
testcase_03 AC 63 ms
7,908 KB
testcase_04 AC 63 ms
7,760 KB
testcase_05 AC 63 ms
7,844 KB
testcase_06 AC 62 ms
7,764 KB
testcase_07 AC 62 ms
7,824 KB
testcase_08 AC 62 ms
7,848 KB
testcase_09 AC 62 ms
7,848 KB
testcase_10 AC 62 ms
7,892 KB
testcase_11 AC 53 ms
7,784 KB
testcase_12 AC 54 ms
7,964 KB
testcase_13 AC 53 ms
7,868 KB
testcase_14 AC 10 ms
7,964 KB
testcase_15 AC 9 ms
7,776 KB
testcase_16 AC 9 ms
7,764 KB
testcase_17 AC 9 ms
7,776 KB
testcase_18 AC 9 ms
7,784 KB
testcase_19 AC 9 ms
7,764 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

/**
*    author:  tomo0608
*    created: 09.07.2021 21:44:08
**/

#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
using namespace std;
#if __has_include(<atcoder/all>)
#include<atcoder/all>
using namespace atcoder;
#endif

typedef long long ll;
typedef long double ld;
template <class T> using V = vector<T>;
template <class T> using VV = V<V<T>>;
template <class T> using VVV = V<VV<T>>;
typedef pair<int,int> pii;
typedef pair<long long, long long> pll;

#define all(x) x.begin(),x.end()
#define rep1(a)          for(long long i = 0; i < a; i++)
#define rep2(i, a)       for(long long i = 0; i < a; i++)
#define rep3(i, a, b)    for(long long i = a; i < b; i++)
#define rep4(i, a, b, c) for(long long i = a; i < b; i += c)
#define drep1(a)          for(long long i = a-1; i >= 0; i--)
#define drep2(i, a)       for(long long i = a-1; i >= 0; i--)
#define drep3(i, a, b)    for(long long i = a-1; i >= b; i--)
#define drep4(i, a, b, c) for(long long i = a-1; i >= b; i -= c)
#define overload4(a, b, c, d, e, ...) e
#define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__)
#define drep(...) overload4(__VA_ARGS__, drep4, drep3, drep2, drep1)(__VA_ARGS__)
#define unique(a) a.erase(unique(a.begin(),a.end()),a.end())
template<class... T>void input(T&... a){(cin >> ... >> a);};
#define INT(...) int __VA_ARGS__; input(__VA_ARGS__)
#define LL(...) ll __VA_ARGS__; input(__VA_ARGS__)
#define STRING(...) string __VA_ARGS__; input(__VA_ARGS__)
void print(){cout << '\n';}
template<class T, class... Ts>void print(const T& a, const Ts&... b){cout << a; (cout << ... << (cout << ' ', b)); cout << '\n';}
template<class T> using priority_queue_rev = priority_queue<T, vector<T>, greater<T> >;
template<class T, class U> inline bool chmax(T &a, const U &b) { if (a<b) { a=b; return 1; } return 0; }
template<class T, class U> inline bool chmin(T &a, const U &b) { if (a>b) { a=b; return 1; } return 0; }
template<class T1, class T2> istream &operator>>(istream &is, pair<T1, T2> &p) { is >> p.first >> p.second; return is; }
template<class T1, class T2> ostream &operator<<(ostream &os, const pair<T1, T2> &p) { os << '(' << p.first << ", " << p.second << ')'; return os; }
template<class T> istream &operator>>(istream &is, vector<T> &v) { for (auto &e : v) is >> e; return is; }
template<class T> ostream &operator<<(ostream &os, const vector<T> &v) { for (auto &e : v) os << e << ' '; return os; }
template<typename T> ostream& operator << (ostream& os, set<T>& set_var) {os << "{"; for (auto itr = set_var.begin(); itr != set_var.end(); itr++) {os << *itr;++itr;if(itr != set_var.end()) os << ", ";itr--;}os << "}";return os;}
template <typename T, typename U> ostream &operator<<(ostream &os, map<T, U> &map_var) {os << "{";for(auto itr = map_var.begin(); itr != map_var.end(); itr++) {os << *itr;itr++;if (itr != map_var.end()) os << ", ";itr--;}os << "}";return os;}
#ifdef __LOCAL
void debug_out(){ cerr << endl;}
template < class Head, class... Tail> void debug_out(Head H, Tail... T) { cerr << ' ' << H; debug_out(T...);}
#define debug(...) cerr << 'L' << __LINE__ << " [" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)
#define dump(x) cerr << 'L' << __LINE__ << " " << #x << " = " << (x) << endl
#else
#define debug(...) (void(0))
#define dump(x) (void(0))
#endif
template<class T> inline int count_between(vector<T> &a, T l, T r) { return lower_bound(all(a), r) - lower_bound(all(a), l); } // [l, r)
#define mp make_pair
#define bit(n, k) ((n >> k) & 1) /*nのk bit目*/
template <typename T>T mypow(T x, ll n){T ret = 1;while(n > 0){if(n & 1)(ret *= x);(x *= x);n >>= 1;}return ret;}
#define endl '\n'
int dx[8] = {1, 0, -1, 0, 1, 1, -1, -1};
int dy[8] = {0, 1, 0, -1, 1, -1, -1, 1};

// input and output of modint
#include<atcoder/modint>
istream &operator>>(istream &is, atcoder::modint998244353 &a) { long long v; is >> v; a = v; return is; }
ostream &operator<<(ostream &os, const atcoder::modint998244353 &a) { return os << a.val(); }
istream &operator>>(istream &is, atcoder::modint1000000007 &a) { long long v; is >> v; a = v; return is; }
ostream &operator<<(ostream &os, const atcoder::modint1000000007 &a) { return os << a.val(); }
template<int m> istream &operator>>(istream &is, atcoder::static_modint<m> &a) { long long v; is >> v; a = v; return is; }
template<int m> ostream &operator<<(ostream &os, const atcoder::static_modint<m> &a) { return os << a.val(); }
template<int m> istream &operator>>(istream &is, atcoder::dynamic_modint<m> &a) { long long v; is >> v; a = v; return is; }
template<int m> ostream &operator<<(ostream &os, const atcoder::dynamic_modint<m> &a) { return os << a.val(); }
// Binomial Coefficient of modint
template<class T> struct BiCoef {
    vector<T> fact_, inv_, finv_;
    constexpr BiCoef() {}
    constexpr BiCoef(int n) noexcept : fact_(n, 1), inv_(n, 1), finv_(n, 1){
       init(n);
    }
    constexpr void init(int n) noexcept {
       fact_.assign(n, 1), inv_.assign(n, 1), finv_.assign(n, 1);
       int MOD = fact_[0].mod();
       for(int i = 2; i < n; i++){
            fact_[i] = fact_[i-1]*i;
            inv_[i] = -inv_[MOD%i]*(MOD/i);
            finv_[i] = finv_[i-1]*inv_[i];
        }
    }
    constexpr T com(int n, int k) const noexcept {
        if(n < k || n < 0 || k < 0)return 0;
        return fact_[n]*finv_[k]*finv_[n-k];
    }
    constexpr T perm(int n, int k) const noexcept {
        if(n < k || n < 0 || k < 0)return 0;
        return fact_[n]*finv_[n-k];
    }
    constexpr T fact(int n) const noexcept {
        if(n < 0)return 0;
        return fact_[n];
    }
    constexpr T inv(int n) const noexcept {
        if(n < 0)return 0;
        return inv_[n];
    }
    constexpr T finv(int n) const noexcept {
        if(n < 0)return 0;
        return finv_[n];
    }
};
typedef atcoder::modint1000000007 mint;
//typedef atcoder::modint998244353 mint;

mint interpolation(const std::vector<mint> &y, ll T){
    // y = [f(0),\ldots, f(n)]として, f(T)を求める
    int n = y.size()-1;
    if(T <= n)return y[T];
    mint ret = 0;
    std::vector<mint> L(n+1, 1), R(n+1, 1);
    for(int i = 0; i < n; i++)L[i+1] = L[i] * (T - i);
    for(int i = n; i > 0; i--)R[i-1] = R[i] * (T - i);
    std::vector<mint> fact(n+1,1),ifact(n+1,1);
    for(int i = 1; i <= n; i++)fact[i] = fact[i-1] * i;
    ifact[n] = fact[n].inv();
    for(int i = n; i > 0; i--)ifact[i-1] = ifact[i] * i;
    for(int i = 0; i <= n; i++){
        mint tmp = y[i] * L[i] * R[i] * ifact[i] * ifact[n - i];
        if((n - i) & 1)ret -= tmp;
        else ret += tmp;
    }
    return ret;
}

void solve(){
    INT(n,m);
    BiCoef<mint> B(400040);
    mint ans = 2*n;
    ans *= B.com(n*2, n);
    rep(i,m){
        INT(t,x,y);
        if(t == 1)ans -= B.com(x+y, x) * B.com(n*2-x-y-1, n-y);
        else ans -= B.com(x+y, x) * B.com(n*2-x-y-1, n-x);
    }
    print(ans);
}

int main() {
    cin.tie(0);
    ios_base::sync_with_stdio(false);
    cout << setprecision(20);
    int codeforces = 1;
    //cin >> codeforces;
    while(codeforces--){
        solve();
    }
    return 0;
}
0