#323764 (C++14) No.797 Noelちゃんとピラミッド

提出ソース

結果

問題	No.797 Noelちゃんとピラミッド
ユーザー	もりを
提出日時	2019-03-16 00:54:53
言語	C++14 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	109 ms / 2,000 ms
コード長	7,101 bytes
コンパイル時間	1,491 ms
コンパイル使用メモリ	168,952 KB
実行使用メモリ	51,024 KB
最終ジャッジ日時	2023-09-14 14:56:11
合計ジャッジ時間	10,255 ms
ジャッジサーバーID （参考情報）	judge11 / judge14

このコードへのチャレンジ
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テストケース

テストケース表示

入力	結果	実行時間実行使用メモリ
testcase_00	AC	90 ms 50,628 KB
testcase_01	AC	85 ms 50,604 KB
testcase_02	AC	86 ms 50,844 KB
testcase_03	AC	98 ms 50,908 KB
testcase_04	AC	102 ms 50,840 KB
testcase_05	AC	108 ms 50,840 KB
testcase_06	AC	107 ms 50,868 KB
testcase_07	AC	97 ms 50,820 KB
testcase_08	AC	103 ms 50,840 KB
testcase_09	AC	103 ms 50,852 KB
testcase_10	AC	105 ms 50,908 KB
testcase_11	AC	104 ms 50,796 KB
testcase_12	AC	102 ms 50,848 KB
testcase_13	AC	93 ms 50,868 KB
testcase_14	AC	95 ms 50,800 KB
testcase_15	AC	105 ms 50,804 KB
testcase_16	AC	89 ms 50,780 KB
testcase_17	AC	99 ms 50,840 KB
testcase_18	AC	106 ms 50,800 KB
testcase_19	AC	94 ms 50,812 KB
testcase_20	AC	92 ms 50,784 KB
testcase_21	AC	99 ms 50,928 KB
testcase_22	AC	99 ms 50,820 KB
testcase_23	AC	97 ms 50,580 KB
testcase_24	AC	91 ms 50,788 KB
testcase_25	AC	97 ms 50,848 KB
testcase_26	AC	99 ms 50,680 KB
testcase_27	AC	102 ms 51,024 KB
testcase_28	AC	97 ms 50,584 KB
testcase_29	AC	88 ms 50,748 KB
testcase_30	AC	92 ms 50,780 KB
testcase_31	AC	99 ms 50,732 KB
testcase_32	AC	100 ms 50,820 KB
testcase_33	AC	109 ms 50,608 KB
testcase_34	AC	106 ms 50,628 KB
testcase_35	AC	101 ms 50,848 KB
testcase_36	AC	94 ms 50,832 KB
testcase_37	AC	107 ms 50,728 KB
testcase_38	AC	102 ms 50,884 KB
testcase_39	AC	106 ms 50,796 KB
testcase_40	AC	84 ms 50,768 KB
testcase_41	AC	87 ms 50,796 KB
testcase_42	AC	92 ms 50,696 KB
testcase_43	AC	86 ms 50,608 KB
testcase_44	AC	87 ms 50,732 KB
testcase_45	AC	87 ms 50,736 KB
testcase_46	AC	86 ms 50,612 KB
testcase_47	AC	82 ms 50,588 KB
testcase_48	AC	91 ms 50,612 KB
testcase_49	AC	91 ms 50,656 KB
testcase_50	AC	88 ms 50,588 KB
testcase_51	AC	92 ms 50,636 KB
testcase_52	AC	92 ms 50,704 KB
testcase_53	AC	83 ms 50,700 KB
testcase_54	AC	101 ms 50,696 KB
testcase_55	AC	94 ms 50,652 KB
testcase_56	AC	82 ms 50,736 KB
testcase_57	AC	84 ms 50,800 KB
testcase_58	AC	90 ms 50,584 KB
testcase_59	AC	94 ms 50,640 KB
testcase_60	AC	92 ms 50,856 KB
testcase_61	AC	84 ms 50,612 KB
testcase_62	AC	88 ms 50,656 KB

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ソースコード

raw source code

#include <bits/stdc++.h>
using namespace std;
//#define int long long
//TEMPLATE START---------------8<---------------8<---------------8<---------------8<---------------//
typedef long long ll;       typedef long double ld;  typedef pair<int,int> pii; typedef pair<ll,ll> pll;  typedef vector<int> vi;   typedef vector<ll> vl;
typedef vector<string> vst; typedef vector<bool> vb; typedef vector<ld> vld;    typedef vector<pii> vpii; typedef vector<pll> vpll; typedef vector<vector<int> > vvi;
const int INF = (0x7FFFFFFFL); const ll INFF = (0x7FFFFFFFFFFFFFFFL); const string ALPHABET = "ABCDEFGHIJKLMNOPQRSTUVWXYZ";
const int MOD = 1e9 + 7;       const int MODD = 998244353;            const string alphabet = "abcdefghijklmnopqrstuvwxyz";
const double PI = acos(-1.0);  const double EPS = 1e-9;               const string Alphabet = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz";
int dx[9] = { 1, 0, -1,  0,  1, -1, -1, 1, 0 };
int dy[9] = { 0, 1,  0, -1, -1, -1,  1, 1, 0 };
#define ln '\n'
#define scnaf scanf
#define sacnf scanf
#define sancf scanf
#define SS(type, ...)type __VA_ARGS__;MACRO_VAR_Scan(__VA_ARGS__);
template<typename T> void MACRO_VAR_Scan(T& t){cin >> t;}template<typename First, typename...Rest> void MACRO_VAR_Scan(First& first, Rest&...rest){cin >> first;MACRO_VAR_Scan(rest...);}
#define SV(type,c,n) vector<type> c(n);for(auto& i:c)cin >> i;
#define SVV(type,c,n,m) vector<vector<type>> c(n,vector<type>(m));for(auto& r:c)for(auto& i:r)cin >> i;
template<class T,class U>ostream &operator<<(ostream &o,const pair<T,U>&j){o<<"{"<<j.first<<", "<<j.second<<"}";return o;}
template<class T,class U>ostream &operator<<(ostream &o,const map<T,U>&j){o<<"{";for(auto t=j.begin();t!=j.end();++t)o<<(t!=j.begin()?", ":"")<<*t;o<<"}";return o;}
template<class T>ostream &operator<<(ostream &o,const set<T>&j){o<<"{";for(auto t=j.begin();t!=j.end();++t)o<<(t!=j.begin()?", ":"")<<*t;o<<"}";return o;}
template<class T>ostream &operator<<(ostream &o,const vector<T>&j){o<<"{";for(int i=0;i<(int)j.size();++i)o<<(i>0?", ":"")<<j[i];o<<"}";return o;}
inline int print(void){cout << endl; return 0;}
template<class Head> int print(Head&& head){cout << head;print();return 0;} template<class Head,class... Tail> int print(Head&& head,Tail&&... tail){cout<<head<<" ";print(forward<Tail>(tail)...);return 0;}
inline int debug(void){cerr << endl; return 0;}
template<class Head> int debug(Head&& head){cerr << head;debug();return 0;} template<class Head,class... Tail> int debug(Head&& head,Tail&&... tail){cerr<<head<<" ";debug(forward<Tail>(tail)...);return 0;}
template<typename T> void PA(T &a){int ASIZE=sizeof(a)/sizeof(a[0]);for(int ii=0;ii<ASIZE;++ii){cout<<a[ii]<<" \n"[ii==ASIZE-1];}}
template<typename T> void PV(T &v){int VSIZE=v.size();for(int ii=0;ii<VSIZE;++ii){cout<<v[ii]<<" \n"[ii==VSIZE-1];}}
#define ER(x)  cerr << #x << " = " << (x) << endl;
#define ERV(v) {cerr << #v << " : ";for(const auto& xxx : v){cerr << xxx << " ";}cerr << "\n";}
inline int YES(bool x){cout<<((x)?"YES":"NO")<<endl;return 0;} inline int Yes(bool x){cout<<((x)?"Yes":"No")<<endl;return 0;}  inline int yes(bool x){cout<<((x)?"yes":"no")<<endl;return 0;}
inline int yES(bool x){cout<<((x)?"yES":"nO")<<endl;return 0;} inline int Yay(bool x){cout<<((x)?"Yay!":":(")<<endl;return 0;}
template<typename A,typename B> void sankou(bool x,A a,B b){cout<<((x)?(a):(b))<<endl;}
#define _overload3(_1,_2,_3,name,...) name
#define _REP(i,n) REPI(i,0,n)
#define REPI(i,a,b) for(ll i=ll(a);i<ll(b);++i)
#define REP(...) _overload3(__VA_ARGS__,REPI,_REP,)(__VA_ARGS__)
#define _RREP(i,n) RREPI(i,n,0)
#define RREPI(i,a,b) for(ll i=ll(a);i>=ll(b);--i)
#define RREP(...) _overload3(__VA_ARGS__,RREPI,_RREP,)(__VA_ARGS__)
#define EACH(e,v) for(auto& e : v)
#define PERM(v) sort((v).begin(),(v).end());for(bool c##p=1;c##p;c##p=next_permutation((v).begin(),(v).end()))
#define ADD(a,b) a=(a+ll(b))%MOD
#define MUL(a,b) a=(a*ll(b))%MOD
inline ll MOP(ll x,ll n,ll m=MOD){ll r=1;while(n>0){if(n&1)(r*=x)%=m;(x*=x)%=m;n>>=1;}return r;}
inline ll gcd(ll a,ll b){return b?gcd(b,a%b):a;}inline ll lcm(ll a,ll b){return a*b/gcd(a,b);}inline ll POW(ll a,ll b){ll c=1ll;do{if(b&1)c*=1ll*a;a*=1ll*a;}while(b>>=1);return c;}
template<typename T,typename A,typename B> inline bool between(T x,A a,B b) {return ((a<=x)&&(x<b));}template<class T> inline T sqr(T x){return x*x;}
template<typename A,typename B> inline bool chmax(A &a,const B &b){if(a<b){a=b;return 1;}return 0;}
template<typename A,typename B> inline bool chmin(A &a,const B &b){if(a>b){a=b;return 1;}return 0;}
#define tmax(x,y,z) max((x),max((y),(z)))
#define tmin(x,y,z) min((x),min((y),(z)))
#define PB push_back
#define MP make_pair
#define MT make_tuple
#define all(v) (v).begin(),(v).end()
#define rall(v) (v).rbegin(),(v).rend()
#define SORT(v) sort((v).begin(),(v).end())
#define RSORT(v) sort((v).rbegin(),(v).rend())
#define EXIST(s,e) (find((s).begin(),(s).end(),(e))!=(s).end())
#define EXISTST(s,c) (((s).find(c))!=string::npos)
#define POSL(x,val) (lower_bound(x.begin(),x.end(),val)-x.begin())
#define POSU(x,val) (upper_bound(x.begin(),x.end(),val)-x.begin())
#define GEQ(x,val) (int)(x).size() - POSL((x),(val))
#define GREATER(x,val) (int)(x).size() - POSU((x),(val))
#define LEQ(x,val) POSU((x),(val))
#define LESS(x,val) POSL((x),(val))
#define SZV(a) int((a).size())
#define SZA(a) sizeof(a)/sizeof(a[0])
#define ZERO(a) memset(a,0,sizeof(a))
#define MINUS(a) memset(a,0xff,sizeof(a))
#define MEMINF(a) memset(a,0x3f,sizeof(a))
#define FILL(a,b) memset(a,b,sizeof(a))
#define UNIQUE(v) sort((v).begin(),(v).end());(v).erase(unique((v).begin(),(v).end()),(v).end())
struct abracadabra{
  abracadabra(){
    cin.tie(0); ios::sync_with_stdio(0);
    cout << fixed << setprecision(20);
    cerr << fixed << setprecision(5);
  };
} ABRACADABRA;

//TEMPLATE END---------------8<---------------8<---------------8<---------------8<---------------//

/*
・組み合わせ, 順列, 重複組み合わせ
  > 前計算 O(MAX_N + logMOD)
  > クエリ O(1)
[備考] nが負の際, C(n,r) = (-1)^r * C(-n+r-1,r)
[使用例]
COMinit();                   // MAX_Nまでの前計算
cout << nCr(n,r) << endl;    // nCr (0 <= (n,r) <= MAX_N)
cout << nPr(n,r) << endl;    // nPr ( ... )
cout << nHr(n,r) << endl;    // nHr ( ... )
*/

const int MAX_N = 2020202;
ll fac[MAX_N], finv[MAX_N], inv[MAX_N];
void COMinit() {
    fac[0] = fac[1] = 1;
    finv[0] = finv[1] = 1;
    inv[1] = 1;
    REP(i,2,MAX_N) {
        fac[i] = fac[i - 1] * i % MOD;
        inv[i] = MOD - inv[MOD%i] * (MOD / i) % MOD;
        finv[i] = finv[i - 1] * inv[i] % MOD;
    }
}
ll nCr(ll n, ll r) {
  if (r==0) return 1;
  if (r<0) return 0;
  if (n<0) return (r%2 ? -1 : 1) * nCr(-n+r-1,r);
  if (n==0 || n<r) return 0;
  return (fac[n]*((finv[n-r]*finv[r])%MOD))%MOD;
}
ll nPr(ll n, ll r) { if (r<0 || n<r) return 0; else return (fac[n]*finv[n-r])%MOD; }
ll nHr(ll n, ll r) { if (n==0 && r==0) return 1; else return nCr(n+r-1,r); }

signed main() {

  COMinit();

  SS(int, N);
  SV(int, A, N);

  ll res = 0;

  REP(i, N) ADD(res, A[i] * nCr(N - 1, i));

  print(res);

}

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結果

テストケース

ソースコード