結果
問題 | No.1596 Distance Sum in 2D Plane |
ユーザー |
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提出日時 | 2021-07-09 21:41:39 |
言語 | C++11(廃止可能性あり) (gcc 13.3.0) |
結果 |
AC
|
実行時間 | 74 ms / 2,000 ms |
コード長 | 5,931 bytes |
コンパイル時間 | 2,590 ms |
コンパイル使用メモリ | 168,624 KB |
実行使用メモリ | 13,788 KB |
最終ジャッジ日時 | 2024-07-01 15:38:30 |
合計ジャッジ時間 | 3,613 ms |
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 |
ソースコード
#include <bits/stdc++.h>// #include <atcoder/all>//using namespace atcoder;// tabaicho see https://boostjp.github.io/tips/multiprec-int.html//#include <boost/multiprecision/cpp_int.hpp>// using namespace boost::multiprecision;// cpp_int// int128_t// int256_t// int512_t// int1024_t// uint128_t// uint256_t// uint512_t// uint1024_t#define int long long#define inf 1000000007// #define inf 998244353#define pa pair<int,int>#define ll long long#define PI 3.14159265358979323846#define mp make_pair#define pb push_back#define EPS (1e-8)using namespace std;int dx[8]={0,1,0,-1,1,1,-1,-1};int dy[8]={1,0,-1,0,-1,1,1,-1};class pa3{public:int x;int y,z;pa3(int x=0,int y=0,int z=0):x(x),y(y),z(z) {}bool operator < (const pa3 &p) const{if(x!=p.x) return x<p.x;if(y!=p.y) return y<p.y;return z<p.z;//return x != p.x ? x<p.x: y<p.y;}bool operator > (const pa3 &p) const{if(x!=p.x) return x>p.x;if(y!=p.y) return y>p.y;return z>p.z;//return x != p.x ? x<p.x: y<p.y;}bool operator == (const pa3 &p) const{return x==p.x && y==p.y && z==p.z;}bool operator != (const pa3 &p) const{return !( x==p.x && y==p.y && z==p.z);}};class pa4{public:int x;int y,z,w;pa4(int x=0,int y=0,int z=0,int w=0):x(x),y(y),z(z),w(w) {}bool operator < (const pa4 &p) const{if(x!=p.x) return x<p.x;if(y!=p.y) return y<p.y;if(z!=p.z)return z<p.z;return w<p.w;//return x != p.x ? x<p.x: y<p.y;}bool operator > (const pa4 &p) const{if(x!=p.x) return x>p.x;if(y!=p.y) return y>p.y;if(z!=p.z)return z>p.z;return w>p.w;//return x != p.x ? x<p.x: y<p.y;}bool operator == (const pa4 &p) const{return x==p.x && y==p.y && z==p.z &&w==p.w;}};class pa2{public:int x,y;pa2(int x=0,int y=0):x(x),y(y) {}pa2 operator + (pa2 p) {return pa2(x+p.x,y+p.y);}pa2 operator - (pa2 p) {return pa2(x-p.x,y-p.y);}bool operator < (const pa2 &p) const{return y != p.y ? y<p.y: x<p.x;}bool operator > (const pa2 &p) const{return x != p.x ? x<p.x: y<p.y;}bool operator == (const pa2 &p) const{return abs(x-p.x)==0 && abs(y-p.y)==0;}bool operator != (const pa2 &p) const{return !(abs(x-p.x)==0 && abs(y-p.y)==0);}};string itos( int i ) {ostringstream s ;s << i ;return s.str() ;}int Gcd(int v,int b){if(v==0) return b;if(b==0) return v;if(v>b) return Gcd(b,v);if(v==b) return b;if(b%v==0) return v;return Gcd(v,b%v);}int extgcd(int a, int b, int &x, int &y) {if (b == 0) {x = 1;y = 0;return a;}int d = extgcd(b, a%b, y, x);y -= a/b * x;return d;}pa operator+(const pa & l,const pa & r) {return {l.first+r.first,l.second+r.second};}pa operator-(const pa & l,const pa & r) {return {l.first-r.first,l.second-r.second};}ostream& operator<<(ostream& os, const vector<int>& VEC){for(auto v:VEC)os<<v<<" ";return os;}ostream& operator<<(ostream& os, const pa& PAI){os<<PAI.first<<" : "<<PAI.second;return os;}ostream& operator<<(ostream& os, const pa3& PAI){os<<PAI.x<<" : "<<PAI.y<<" : "<<PAI.z;return os;}ostream& operator<<(ostream& os, const pa4& PAI){os<<PAI.x<<" : "<<PAI.y<<" : "<<PAI.z<<" : "<<PAI.w;return os;}ostream& operator<<(ostream& os, const vector<pa>& VEC){for(auto v:VEC)os<<v<<" ";return os;}ostream& operator<<(ostream& os, const vector<pa3>& VEC){for(auto v:VEC){os<<v<<" ";os<<endl;}return os;}int beki(int wa,ll rr,int warukazu){if(rr==0) return 1%warukazu;if(rr==1) return wa%warukazu;wa%=warukazu;if(rr%2==1) return ((ll)beki(wa,rr-1,warukazu)*(ll)wa)%warukazu;ll zx=beki(wa,rr/2,warukazu);return (zx*zx)%warukazu;}int pr[2521000];int inv[2521000];const int mod=1000000007;int comb(int nn,int rr){if(rr<0 || rr>nn || nn<0) return 0;int r=pr[nn]*inv[rr];r%=mod;r*=inv[nn-rr];r%=mod;return r;}void gya(int ert){pr[0]=1;for(int i=1;i<=ert;i++){pr[i]=((ll)pr[i-1]*i)%mod;}inv[ert]=beki(pr[ert],mod-2,mod);for(int i=ert-1;i>=0;i--){inv[i]=(ll)inv[i+1]*(i+1)%mod;}}// cin.tie(0);// ios::sync_with_stdio(false);//priority_queue<pa3,vector<pa3>,greater<pa3>> pq;//sort(ve.begin(),ve.end(),greater<int>());// mt19937(clock_per_sec);// mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count()) ;int beki2(int wa,ll rr){if(rr==0) return 1;if(rr==1) return wa;//wa%=warukazu;if(rr%2==1) return ((ll)beki2(wa,rr-1)*(ll)wa)%mod;ll zx=beki2(wa,rr/2);return (zx*zx)%mod;}int beki3(int a,int b){int ANS=1;int be=a;while(b){if(b&1){ANS*=be;ANS%=mod;}be*=be;be%=mod;b/=2;}return ANS;}int dp[70][1000];void solve(){int n,m;cin>>n>>m;set<pa>se[2];gya(400040);int ans=0;for(int i=0;i<m;i++){int y,yy,yyy;cin>>yyy>>y>>yy;if(yyy==1){ans+=comb(y+yy,y)*comb(n-y+n-yy-1,n-y-1)%mod;}else{ans+=comb(y+yy,y)*comb(n-y+n-yy-1,n-y)%mod;}}// cout<<ans<<endl;ans%=mod;int zen=comb(2*n,n)*2*n%mod;cout<<(zen+mod-ans)%mod<<endl;/*int ans=0;for(int i=0;i<n;i++)for(int j=0;j<=n;j++){if(se[0].count((pa)mp(i,j)))continue;ans+=comb(i+j,i)*comb(n-i-1+n-j,n-j)%mod;}for(int i=0;i<=n;i++)for(int j=0;j<n;j++){if(se[1].count((pa)mp(i,j)))continue;ans+=comb(i+j,i)*comb(n-i-1+n-j,n-j-1)%mod;}cout<<ans%mod<<endl;*/}signed main(){//mod=inf;cin.tie(0);ios::sync_with_stdio(false);int n=1;//cin>>n;for(int i=0;i<n;i++)solve();return 0;}