結果

問題 No.695 square1001 and Permutation 4
ユーザー smiken_61
提出日時 2019-02-15 00:32:23
言語 C++11
(gcc 13.3.0)
結果
AC  
実行時間 2,352 ms / 7,000 ms
コード長 13,890 bytes
コンパイル時間 1,918 ms
コンパイル使用メモリ 173,084 KB
実行使用メモリ 42,368 KB
最終ジャッジ日時 2024-07-22 19:35:55
合計ジャッジ時間 12,757 ms
ジャッジサーバーID
(参考情報)
judge4 / judge2
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 2
other AC * 12
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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

#include <bits/stdc++.h>
// #include <boost/multiprecision/cpp_int.hpp>
// #define int long long
#define inf 1000000007
#define pa pair<int,int>
#define ll long long
#define pal pair<double,double>
#define ppap pair<pa,int>
#define PI 3.14159265358979323846
#define paa pair<int,char>
#define mp make_pair
#define pb push_back
#define EPS (1e-10)
int dx[8]={0,1,0,-1,1,1,-1,-1};
int dy[8]={1,0,-1,0,-1,1,1,-1};
using namespace std;
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);
}
};
class Point{
public:
double x,y;
Point(double x=0,double y=0):x(x),y(y) {}
Point operator + (Point p) {return Point(x+p.x,y+p.y);}
Point operator - (Point p) {return Point(x-p.x,y-p.y);}
Point operator * (double a) {return Point(x*a,y*a);}
Point operator / (double a) {return Point(x/a,y/a);}
double absv() {return sqrt(norm());}
double norm() {return x*x+y*y;}
bool operator < (const Point &p) const{
return x != p.x ? x<p.x: y<p.y;
}
bool operator == (const Point &p) const{
return fabs(x-p.x)<EPS && fabs(y-p.y)<EPS;
}
};
typedef Point Vector;
#define pl pair<int,pas>
struct Segment{
Point p1,p2;
};
double dot(Vector a,Vector b){
return a.x*b.x+a.y*b.y;
}
double cross(Vector a,Vector b){
return a.x*b.y-a.y*b.x;
}
bool parareru(Point a,Point b,Point c,Point d){
// if(abs(cross(a-b,d-c))<EPS)cout<<"dd "<<cross(a-b,d-c)<<endl;
return abs(cross(a-b,d-c))<EPS;
}
double distance_ls_p(Point a, Point b, Point c) {
if ( dot(b-a, c-a) < EPS ) return (c-a).absv();
if ( dot(a-b, c-b) < EPS ) return (c-b).absv();
return abs(cross(b-a, c-a)) / (b-a).absv();
}
bool is_intersected_ls(Segment a,Segment b) {
if(a.p1==b.p1||a.p2==b.p1||a.p1==b.p2||a.p2==b.p2) return false;
if(parareru((a.p2),(a.p1),(a.p1),(b.p2))&&parareru((a.p2),(a.p1),(a.p1),(b.p1))){
// cout<<"sss"<<endl;
if(dot(a.p1-b.p1,a.p1-b.p2)<EPS) return true;
if(dot(a.p2-b.p1,a.p2-b.p2)<EPS) return true;
if(dot(a.p1-b.p1,a.p2-b.p1)<EPS) return true;
if(dot(a.p1-b.p2,a.p2-b.p2)<EPS) return true;
return false;
}
else return ( cross(a.p2-a.p1, b.p1-a.p1) * cross(a.p2-a.p1, b.p2-a.p1) < EPS ) && ( cross(b.p2-b.p1, a.p1-b.p1) * cross(b.p2-b.p1,
                      a.p2-b.p1) < EPS );
}
double segment_dis(Segment a,Segment b){
if(is_intersected_ls(a,b))return 0;
double r=distance_ls_p(a.p1, a.p2, b.p1);
r=min(r,distance_ls_p(a.p1, a.p2, b.p2));
r=min(r,distance_ls_p(b.p1, b.p2, a.p2));
r=min(r,distance_ls_p(b.p1, b.p2, a.p1));
return r;
}
Point intersection_ls(Segment a, Segment b) {
Point ba = b.p2-b.p1;
double d1 = abs(cross(ba, a.p1-b.p1));
double d2 = abs(cross(ba, a.p2-b.p1));
double t = d1 / (d1 + d2);
return a.p1 + (a.p2-a.p1) * t;
}
string itos( int i ) {
ostringstream s ;
s << i ;
return s.str() ;
}
int gcd(int v,int b){
if(v>b) return gcd(b,v);
if(v==b) return b;
if(b%v==0) return v;
return gcd(v,b%v);
}
double distans(double x1,double y1,double x2,double y2){
double rr=(x1-x2)*(x1-x2)+(y1-y2)*(y1-y2);
return sqrt(rr);
}
int mod;
ll extgcd(ll a, ll b, ll &x, ll &y) {
if (b == 0ll) {
x = 1ll;
y = 0ll;
return a;
}
ll 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};
}
int pr[1200010];
int inv[1200010];
int beki(int wa,int 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;
}
double bekid(double w,int r){
if(r==0) return 1.0;
if(r==1) return w;
if(r%2) return bekid(w,r-1)*w;
double f=bekid(w,r/2);
return f*f;
}
int comb(int nn,int rr){
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]=(pr[i-1]*i)%mod;
}
for(int i=0;i<=ert;i++) inv[i]=beki(pr[i],mod-2,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()) ;
//----------------kokomade tenpure------------
ll modinv(ll r,ll mo){// mod mo r -1
// r*x +mo*r = 1
ll aa,bb;
ll gc=extgcd(r,mo,aa,bb);
if(gc!=-1){
// cout<<-1<<endl;
}
if(gc!=1) return -1;
aa%=mo;
if(aa<0)aa+=mo;
return aa;
}
ll garner(vector<pair<ll,ll>> vec,ll MOD){
// vec[i]: x % vec[i].first == vec[i].second
// 0<= vec[i].second<vec[i].first
// vec[i].first 2
// MOD
vec.pb({MOD,0ll});
int siz=vec.size();
vector<ll> ruiseki(siz,1ll);
vector<ll> teisuu(siz,0ll);
ll val;
for(int i=0;i<siz-1;i++){
// (teisuu[i] + val*ruiseki[i]) % vec[i].first = vec[i].second
val= (ll)vec[i].second-teisuu[i];
while(val<0) val+=(ll)vec[i].first;
val%=(ll)vec[i].first;
val*= modinv(ruiseki[i],(ll)vec[i].first);
val%=(ll)vec[i].first;
for(int j=i+1;j<siz;j++){
teisuu[j]+=(ll)ruiseki[j]*val%(ll)vec[j].first;
teisuu[j]%=(ll)vec[j].first;
// cout<<teisuu[j]<<endl;
ruiseki[j]*=(ll)vec[i].first;
ruiseki[j]%=(ll)vec[j].first;
}
}
return teisuu.back();
}
int mo[3]={17,9920467,592951213};
int a[10000020];
signed main(){
cin.tie(0);
ios::sync_with_stdio(false);
int n,m;
cin>>n>>m;
vector<int> ve;
for(int i=0;i<m;i++){
int y;
cin>>y;
ve.pb(y);
}
vector<pair<ll,ll>> w;
for(int k=0;k<3;k++){
a[1]=1;
int m=(n+1)/2;
for(int i=2;i<=m;i++){
int e=0;
for(auto v:ve)if(i-v>0){
e+=a[i-v];
e%=mo[k];
}
a[i]=e%mo[k];
}
int m2=n-m;
ll q=0;
for(auto v:ve){
for(int i=m;i>max(m-v,0);i--){
int pos=m2-(v-(m-i)-1);
if(pos>0){
q+=(ll)a[i]*a[pos]%mo[k];
q%=mo[k];
}
}
}
w.pb({(ll)mo[k],(ll)q});
}
cout<<garner(w,100000000000000007ll)<<endl;
return 0;
}
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