#928831 (C++17) No.1596 Distance Sum in 2D Plane

• 問題: No.1596 Distance Sum in 2D Plane
• ユーザー: shobonvip
• 提出日時: 2023-11-15 02:36:17
• 言語: C++17 (gcc 13.3.0 + boost 1.87.0)
• 結果: AC
• 実行時間: 194 ms / 2,000 ms
• コード長: 1,773 bytes
• コンパイル時間: 4,075 ms
• コンパイル使用メモリ: 251,160 KB
• 最終ジャッジ日時: 2025-02-17 22:03:35
• ジャッジサーバーID （参考情報）: judge3 / judge4

ファイルパターン	結果
sample	AC * 3
other	AC * 17

ソースコード

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#include<bits/stdc++.h>
using namespace std;
//* ATCODER
#include<atcoder/all>
using namespace atcoder;
typedef modint1000000007 mint;
//*/
/* BOOST MULTIPRECISION
#include<boost/multiprecision/cpp_int.hpp>
using namespace boost::multiprecision;
//*/
typedef long long ll;
#define rep(i, s, n) for (int i = (int)(s); i < (int)(n); i++)
#define rrep(i, s, n) for (int i = (int)(n)-1; i >= (int)(s); i--)
template <typename T> bool chmin(T &a, const T &b) {
    if (a <= b) return false;
    a = b;
    return true;
}
template <typename T> bool chmax(T &a, const T &b) {
    if (a >= b) return false;
    a = b;
    return true;
}
template <typename T> T max(vector<T> &a){
    assert(!a.empty());
    T ret = a[0];
    for (int i=0; i<(int)a.size(); i++) chmax(ret, a[i]);
    return ret;
}
template <typename T> T min(vector<T> &a){
    assert(!a.empty());
    T ret = a[0];
    for (int i=0; i<(int)a.size(); i++) chmin(ret, a[i]);
    return ret;
}
template <typename T> T sum(vector<T> &a){
    T ret = 0;
    for (int i=0; i<(int)a.size(); i++) ret += a[i];
    return ret;
}
//defmodfact
const int COMinitMAX = 998244;
mint fact[COMinitMAX+1], factinv[COMinitMAX+1];
void modfact(){
    fact[0] = 1;
    for (int i=1; i<=COMinitMAX; i++){
        fact[i] = fact[i-1] * i;
    }
    factinv[COMinitMAX] = fact[COMinitMAX].inv();
    for (int i=COMinitMAX-1; i>=0; i--){
        factinv[i] = factinv[i+1] * (i+1);
    }
}
mint cmb(int a, int b){
    if (a<b || b<0) return mint(0);
    return fact[a]*factinv[b]*factinv[a-b];
}
//--------
int main(){
    modfact();
    int n, m; cin >> n >> m;
    mint ans = cmb(2 * n, n) * mint(2 * n);
    rep(i,0,m){
        int t; cin >> t;
        int x, y; cin >> x >> y;
        if (t == 1){
            ans -= cmb(x+y, y) * cmb(n-1-x+n-y, n-y);
        }else{
            ans -= cmb(x+y, y) * cmb(n-x+n-1-y, n-1-y);
        }
    }
    cout << ans.val() << '\n';
}
 
 
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