結果

問題 No.1011 Infinite Stairs
ユーザー MorikiNMorikiN
提出日時 2020-06-07 15:27:16
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 490 ms / 2,000 ms
コード長 7,389 bytes
コンパイル時間 1,828 ms
コンパイル使用メモリ 179,728 KB
実行使用メモリ 451,752 KB
最終ジャッジ日時 2023-09-24 11:17:02
合計ジャッジ時間 5,430 ms
ジャッジサーバーID
（参考情報） 		judge14 / judge11
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 12 ms
26,980 KB
testcase_01 AC 10 ms
27,036 KB
testcase_02 AC 17 ms
32,344 KB
testcase_03 AC 269 ms
306,304 KB
testcase_04 AC 57 ms
73,880 KB
testcase_05 AC 490 ms
451,752 KB
testcase_06 AC 13 ms
26,932 KB
testcase_07 AC 14 ms
29,780 KB
testcase_08 AC 11 ms
26,936 KB
testcase_09 AC 11 ms
27,032 KB
testcase_10 AC 13 ms
28,720 KB
testcase_11 AC 65 ms
83,788 KB
testcase_12 AC 13 ms
28,320 KB
testcase_13 AC 45 ms
61,728 KB
testcase_14 AC 12 ms
27,240 KB
testcase_15 AC 56 ms
72,176 KB
testcase_16 AC 200 ms
222,704 KB
testcase_17 AC 28 ms
43,252 KB
testcase_18 AC 120 ms
139,664 KB
testcase_19 AC 14 ms
28,372 KB
testcase_20 AC 12 ms
27,416 KB
testcase_21 AC 55 ms
72,728 KB
testcase_22 AC 101 ms
118,736 KB
testcase_23 AC 64 ms
82,004 KB
testcase_24 AC 70 ms
86,812 KB
testcase_25 AC 105 ms
125,032 KB
testcase_26 AC 30 ms
46,576 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

#include <bits/stdc++.h>
#include <algorithm>
#include <cmath>
#include <set>
#include <cstdio>
#include <vector>
#include <iostream>
#include <utility>
#include <queue>
#include <map>
#include <complex>
#define fir first
#define sec second
#define sz(s) (s).size()
#define pb push_back
#define get(n) scanf("%d",&n);
#define gets(s) string s;cin >> (s);
#define prfi(n) printf("%d", &n);
#define prfd(n) printf("%lf", &n);
#define All(s) (s).begin(), (s).end()
#define rep(i,j) for(int (i)=0;(i)<(j);(i)++)
#define For(i,j,k) for(int (i)=(j);(i)<(k);(i)++)
#define drep(i,j) for(int (i)=(j);(i)>=0;(i)--)
#define Ford(i,j,k) for(int (i)=(j);i>=(k);i--)
#define fore(c,v) for(auto (c): (v))
#define lp for(int __=0;__<n;i++)
#define mem(a,b) memset(a,b,sizeof(a));
#define dump(x)  std::cout << #x << " = " << (x) << std::endl;
#define debug(x) cout << #x << " = " << (x) << " (L" << __LINE__ << ")" << " " << __FILE__ << endl;
using ull = unsigned long long int;
using ll = long long;
using ld = long double;
using pii = std::pair<int,int>;
using pll = std::pair<ll, ll>;
using vi = std::vector<int> ;
using vvi = std::vector<vi> ;
using vll = std::vector<ll>;
using vvll = std::vector<vll>;
using vd = std::vector<double> ;
using vvd = std::vector<vd> ;
using qi = std::queue<int> ;
using vpii = std::vector<std::pair<int, int> >;
using vpll = std::vector<pll>;
using namespace std;

const int Mod = (1e9) + 7;
const int INF = 1e9 + 19;
const ll INFL = 1e18 + 19;
const int dx[] = {-1, 0, 0, 1};
const int dy[] = {0, -1, 1, 0};
const int dx2[] = {-1, -1, -1, 0, 0, 0, 1, 1, 1};
const int dy2[] = {1, 0, -1, 1, 0, -1, 1, 0, -1};
const double EPS = 1e-10;
//_____________________________________Templates_________________________________________//

template<class T1, class T2> inline void chmin(T1 &a, T2 b){if(a > b) a = b;}
template<class T1, class T2> inline void chmax(T1 &a, T2 b){if(a < b) a = b;}
template<class T> inline void pri(T a){cout << a << endl;}
template<class Z> using vec = vector<Z>;
template<class T> using min_priority_queue = priority_queue<T, vector<T>, greater<T>>;
//mainly use for dynamic prog
template<class T1, class T2>
void update(T1 &a, T2 b){
  a += b;
  if(a > Mod) a %= Mod;
}

inline void IN(void){
  return;
}

template <typename First, typename... Rest>
void IN(First& first, Rest&... rest){
  cin >> first;
  IN(rest...);
  return;
}

inline void OUT(void){
  cout << "\n";
  return;
}

template <typename First, typename... Rest>
void OUT(First first, Rest... rest){
  cout << first << " ";
  OUT(rest...);
  return;
}

bool pairsort(pll pl, pll pr){
  if(pl.first == pr.first)return pl.second > pr.second;
  return pl.first < pr.first;
}

int cntbit(ll a,int n,int j){int res = 0;For(i,j,n){if(a>>i & 1){res++;}}return res;}
vector<int> make_bit(int a){vector<int> res; for(int i=31;i>=0;i--)if(a&(1<<i))res.pb(i);return res;}
bool stdbit(int a, int b){return a&(1 << b); }
int GCD(int a, int b){if(b > a)return GCD(b,a);if(a%b == 0)return b;else return GCD(b, a%b);}
int LCM(int a, int b){return a*b/GCD(a,b);}
int roundup(int a, int b){if(a % b == 0)return a/b;else return (a+b)/b;}
int rounddown(int a, int b){if(a%b == 0)return a/b;else {return (a-b)/b;}}
ll pow(ll a, ll n){ll res = 1;while(n > 0){if(n&1)res *= a; a *= a; n = n >> 1;}return res;}
ll GetDiviserCount(ll N)//約数の個数
{
  ll res = 1;
  For(i,2,sqrt(N)+1)
  {
    ll cnt = 0;
    while(N%i == 0)
    {
      cnt++;
      N /= i;
    }
    res *= (cnt + 1);
    if(N == 1)break;
  }
  if(N != 1)res *= 2;
  return res;
}
vll GetDivisor(ll N)//約数列挙
{
  vll res;
  for(ll i = 1;i*i <= N;i++)
  {
    if(N%i == 0)
    {
      res.pb(i);
      if(i*i != N)res.pb(N/i);
    }
  }
  sort(All(res));
  return res;
}

struct Modint
{
  using ll = long long int;
  ll x;
  Modint(ll x=0) :x((x%Mod+Mod)%Mod) {}
  Modint operator - ()
  {
   return Modint(-x);
  }
  Modint& operator +=(Modint a)
  {
    (x += a.x%Mod)%Mod;
    return *this;
  }
  Modint& operator -=(Modint a)
  {
   x = (x - a.x + Mod)%Mod;
   return *this;
  }
  Modint& operator *=(Modint a)
  {
    (x *= a.x) %= Mod;
    return *this;
  }
  Modint operator + (Modint a)
  {
    Modint b(*this);
    b += a;
    return b;
  }
  Modint operator - (Modint a)
  {
    Modint b(*this);
    b -= a;
    return b;
  }
  Modint operator * (Modint a)
  {
    Modint b(*this);
    b *= a;
    return b;
  }
  long long int EXTGCD(long long int a, long long int b, long long int &x, long long int &y)
  {
    if(b==0)
    {
      x = 1;
      y = 0;
      return a;
    }
    long long int g = EXTGCD(b,a%b,y,x);
    y -= (a/b)*x;
    return g;
  }
  Modint inverse()
  {
    long long int a,b;
    EXTGCD(x,Mod,a,b);
    (a += Mod)%=Mod;
    return a;
  }
  Modint pow(ll a)
  {
    Modint res = 1;
    Modint b = x;
    while(a > 0)
    {
      if(a & 1)res *= b;
      a = a >> 1;
      b *= b;
    }
    return res;
  }
  friend ostream& operator<<(ostream& os, const Modint& a);
};
ostream& operator<< (ostream& os, const Modint& a)
{
  os << a.x;
  return os;
}
struct combination
{
  vector<Modint> fact,ifact;
  combination(int n) : fact(n+1), ifact(n+1)
  {
    fact[0] = 1;
    for(int i=1;i<=n;i++)fact[i] = fact[i-1] * i;
    ifact[n] = fact[n].inverse();
    for(int i=n;i>=1;i--)ifact[i-1] = ifact[i] * i;
  }
  Modint operator() (int n,int k)
  {
    return fact[n]*ifact[n-k]*ifact[k];
  }
};
using vm = vector<Modint>;
using vvm = vector<vm>;
template<class Z>
struct MyMatrix
{
  using mat = MyMatrix<Z>;
  vector<vector<Z>> m_dat;
  int m_h;
  int m_w;
  MyMatrix(int h, int w) : m_h(h), m_w(w) ,m_dat(h,vector<Z>(w)) {}
  vector<Z> &operator[] (int idx)
  {
    return m_dat[idx];
  }
  mat Multiple(mat &a)
  {
    mat C(m_h, a.m_w);
    for(int i=0;i<m_h;i++)
    {
      for(int j=0;j<a.m_w;j++)
      {
        for(int k=0;k<m_w;k++)
        {
         C[i][j] += m_dat[i][k] * a[k][j];
        }
      }
    }
    return C;
  }
  mat Pow(ll x)
  {
    mat B(m_h,m_w);
    for(int i=0;i<m_h;i++)
    {
      B[i][i] = 1;
    }
    mat A = *this;
    while(x > 0)
    {
      if(x&1)B = B.Multiple(A);
      A = A.Multiple(A);
      x = x >> 1;
    }
    return B;
  }
  //friend ostream& operator<<(ostream &os, const mat &A);
};
/*
template<class Z>
ostream& operator<<(ostream &os, Matrix<Z>& A)
{
  for(int i=0;i<A.m_h;i++)
  {
    for(int j=0;j<A.m_w;j++)
    {
      os << A[i][j] << " ";
    }
    os << endl;
  }
  return os;
}
*/
template<class T>
using mat = MyMatrix<T>;
//_____________________　following sorce code_________________________//
const int max_n = 3 * (1e5) + 1;
const int max_m = 83 * (1e5) + 1;

int n,m,k;
ll N;
int h,w;
string S;
int a,b,c;
vi v;
int ans;
double x,y,z;
vector<int> G[1010101];

void solve()
{
  int d;
  IN(n,d,k);
  vector<vector<Modint>> dp(n+2,vector<Modint>(k+2));
  dp[0][0] = 1;
  vector<vector<Modint>> sum(n+2, vector<Modint>(k+2));
  rep(i,k)sum[0][i+1] = sum[0][i] + dp[0][i];
  For(i,1,n+1)
  {
    For(j,1,k+1)
    {
      dp[i][j] = sum[i-1][j] - sum[i-1][max(0,j-d)];
      sum[i][j+1] = sum[i][j] + dp[i][j];
    }
  }
  //fore(e,dp[n])pri(e);
  pri(dp[n][k]);
}

signed main (int argc, char* argv[]) {
  cin.tie(0);
  ios::sync_with_stdio(false);
  int cases=1;
  //IN(cases);
  while(cases--)solve();
  //pri(ans);
  //for(auto c : ans){cout << c << endl;}
  //cout << fixed << setprecision(15) << ans << endl;
  return 0;
}
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