結果

問題 No.1596 Distance Sum in 2D Plane
ユーザー yuji9511
提出日時 2021-07-09 22:26:11
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 93 ms / 2,000 ms
コード長 2,377 bytes
コンパイル時間 2,428 ms
コンパイル使用メモリ 198,268 KB
最終ジャッジ日時 2025-01-22 22:10:20
ジャッジサーバーID
（参考情報） 		judge2 / judge1
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ファイルパターン 結果
sample AC * 3
other AC * 17
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ソースコード

diff #
プレゼンテーションモードにする

/*** author: yuji9511 ***/
#include <bits/stdc++.h>
// #include <atcoder/all>
// using namespace atcoder;
using namespace std;
using ll = long long;
using lpair = pair<ll, ll>;
using vll = vector<ll>;
const ll MOD = 1e9+7;
const ll INF = 1e18;
#define rep(i,m,n) for(ll i=(m);i<(n);i++)
#define rrep(i,m,n) for(ll i=(m);i>=(n);i--)
ostream& operator<<(ostream& os, lpair& h){ os << "(" << h.first << ", " << h.second << ")"; return os;}
#define printa(x,n) for(ll i=0;i<n;i++){cout<<(x[i])<<" \n"[i==n-1];};
void print() {}
template <class H,class... T>
void print(H&& h, T&&... t){cout<<h<<" \n"[sizeof...(t)==0];print(forward<T>(t)...);}
template<class T>bool chmax(T &a, const T &b) { if (a<b) { a=b; return 1; } return 0; }
template<class T>bool chmin(T &a, const T &b) { if (b<a) { a=b; return 1; } return 0; }
struct Combination{
private:
    ll N;
public:
    vll fac, facinv, inv;
    Combination(ll n){
        N = n;
        fac.resize(N+1); facinv.resize(N+1); inv.resize(N+1);
        fac[0] = fac[1] = 1;
        facinv[0] = facinv[1] = 1;
        inv[1] = 1;
        rep(i,2,N+1){
            fac[i] = fac[i-1] * i % MOD;
            inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD;
            facinv[i] = facinv[i-1] * inv[i] % MOD;
        }
    }
    ll power(ll x, ll n, ll m = MOD){
        if(n == 0) return 1LL;
        ll res = power(x * x % m, n/2, m);
        if(n % 2 == 1) (res *= x) %= m;
        return res;
    }
    ll nck(ll n, ll k){
        if(n == 0) return 1LL;
        if(k == 0 || n == k) return 1LL;
        if(n < k) return 0LL;
        return fac[n] * facinv[k] % MOD * facinv[n-k] % MOD;
    }
    
    ll npk(ll n, ll k){
        if(k == 0) return 1LL;
        if(n < k) return 0LL;
        return fac[n] * facinv[n-k] % MOD;
    }
};
void solve(){
    ll N,M;
    cin >> N >> M;
    vll t(M), x(M), y(M);
    rep(i,0,M) cin >> t[i] >> x[i] >> y[i];
    Combination cb(400010);
    ll ans = cb.nck(2*N, N) * 2 * N % MOD;
    rep(i,0,M){
        if(t[i] == 1){
            ans -= cb.nck(x[i]+y[i], x[i]) * cb.nck(2*N-x[i]-y[i]-1, N-y[i]) % MOD;
            ans = (ans + 2*MOD) % MOD;
        }else{
            ans -= cb.nck(x[i]+y[i], x[i]) * cb.nck(2*N-x[i]-y[i]-1, N-x[i]) % MOD;
            ans = (ans + 2*MOD) % MOD;
        }
    }
    print(ans);
}
int main(){
    cin.tie(0);
    ios::sync_with_stdio(false);
    solve();
}
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