結果

問題 No.1011 Infinite Stairs
コンテスト
ユーザー chocobo
提出日時 2020-03-20 21:58:35
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 248 ms / 2,000 ms
コード長 5,329 bytes
コンパイル時間 1,008 ms
コンパイル使用メモリ 110,092 KB
実行使用メモリ 215,936 KB
最終ジャッジ日時 2024-07-17 11:49:06
合計ジャッジ時間 2,834 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 * 3
other AC * 24
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 <cstdio>
#include <iostream>
#include <string>
#include <vector>
#include <sstream>
#include <map>
#include <set>
#include <queue>
#include <algorithm>
#include <cmath>
#include <cstring>
#include <typeinfo>
#include <numeric>
#include <functional>
#include <unordered_map>
#include <bitset>
#include <stack>
#include <assert.h>
#include <unordered_set>
#include <random>


using namespace std;
using ll = long long;
using ull = unsigned long long;

const ll INF = 1e18;
const ll MOD = 1e9 + 7;

#define REP(i, n) for(ll i = 0; i < n; i++)












template<int MOD_>
class ModInt {
private:
public:
    long long val;
    constexpr ModInt(long long v = 0) noexcept : val(v % MOD_) {
        if (val < 0) val += MOD_;
    }
    constexpr int getmod() { return MOD_; }
    constexpr ModInt operator - () const noexcept {
        return val ? MOD_ - val : 0;
    }
    constexpr ModInt operator + (const ModInt& r) const noexcept { return ModInt(*this) += r; }
    constexpr ModInt operator - (const ModInt& r) const noexcept { return ModInt(*this) -= r; }
    constexpr ModInt operator * (const ModInt& r) const noexcept { return ModInt(*this) *= r; }
    constexpr ModInt operator / (const ModInt& r) const noexcept { return ModInt(*this) /= r; }
    constexpr ModInt operator % (const ModInt& r) const noexcept { return ModInt(*this) %= r; }
    constexpr ModInt operator ^ (const ModInt& r) const noexcept { return ModInt(*this) ^= r; }
    constexpr ModInt operator & (const ModInt& r) const noexcept { return ModInt(*this) &= r; }
    constexpr ModInt operator | (const ModInt& r) const noexcept { return ModInt(*this) |= r; }
    constexpr ModInt& operator += (const ModInt& r) noexcept {
        val += r.val;
        if (val >= MOD_) val -= MOD_;
        return *this;
    }
    constexpr ModInt& operator -= (const ModInt& r) noexcept {
        val -= r.val;
        if (val < 0) val += MOD_;
        return *this;
    }
    constexpr ModInt& operator *= (const ModInt& r) noexcept {
        val = val * r.val % MOD_;
        return *this;
    }
    constexpr ModInt& operator /= (const ModInt& r) noexcept {
        long long a = r.val, b = MOD_, u = 1, v = 0;
        while (b) {
            long long t = a / b;
            a -= t * b; swap(a, b);
            u -= t * v; swap(u, v);
        }
        val = val * u % MOD_;
        if (val < 0) val += MOD_;
        return *this;
    }
    constexpr ModInt& operator %= (const ModInt& r) noexcept {
        assert(r != 0);
        val = val % r.val;
        return *this;
    }
    constexpr ModInt& operator ^= (const ModInt& r) noexcept {
        val = (val ^ r.val) % MOD_;
        return *this;
    }
    constexpr ModInt& operator &= (const ModInt& r) noexcept {
        val = val & r.val;
        return *this;
    }
    constexpr ModInt& operator |= (const ModInt& r) noexcept {
        val = (val | r.val) % MOD_;
        return *this;
    }
    constexpr bool operator == (const ModInt& r) const noexcept {
        return this->val == r.val;
    }
    constexpr bool operator != (const ModInt& r) const noexcept {
        return this->val != r.val;
    }
    constexpr bool operator < (const ModInt& r) const noexcept {
        return this->val < r.val;
    }
    constexpr bool operator > (const ModInt& r) const noexcept {
        return this->val > r.val;
    }
    constexpr bool operator <= (const ModInt& r) const noexcept {
        return this->val <= r.val;
    }
    constexpr bool operator >= (const ModInt& r) const noexcept {
        return this->val >= r.val;
    }
    constexpr bool operator && (const ModInt& r) const noexcept {
        return this->val && r.val;
    }
    constexpr bool operator || (const ModInt& r) const noexcept {
        return this->val || r.val;
    }
    constexpr ModInt& operator ++ () noexcept {
        val = (val + 1) % MOD_;
        return *this;
    }
    constexpr ModInt operator ++ (int n) noexcept {
        ModInt<MOD_> t = *this;
        val = (val + 1) % MOD_;
        return t;
    }
    constexpr ModInt& operator -- () noexcept {
        val = (val - 1 + MOD_) % MOD_;
        return *this;
    }
    constexpr ModInt operator -- (int n) noexcept {
        ModInt<MOD_> t = *this;
        val = (val - 1 + MOD_) % MOD_;
        return t;
    }
    constexpr ModInt operator ! () noexcept {
        return val? 1 : 0;
    }
    friend constexpr ostream& operator << (ostream &os, const ModInt<MOD_>& x) noexcept {
        return os << x.val;
    }
    friend constexpr istream& operator >> (istream &is, ModInt<MOD_>& x) noexcept {
        return is >> x.val;
    }
    friend constexpr ModInt<MOD_> modpow(const ModInt<MOD_> &a, long long n) noexcept {
        if (n == 0) return 1;
        auto t = modpow(a, n / 2);
        t = t * t;
        if (n & 1) t = t * a;
        return t;
    }
};
 
int main(){
    ll n, d, k;
    cin >> n >> d >> k;
    vector<vector<ModInt<MOD>>> dp(n + 1, vector<ModInt<MOD>>(k + 2));
    dp[0][0] = 1;
    dp[0][1] = -1;
    REP(i, n){
        REP(j, k){
            if(j > 0){
                dp[i][j] += dp[i][j - 1];
            }
            dp[i + 1][j + 1] += dp[i][j];
            dp[i + 1][min(j + d + 1, k + 1)] -= dp[i][j];
        }
    }
    for(ll j = 1; j <= k; j++){
        dp[n][j] += dp[n][j - 1];
    }
    cout << dp[n][k] << endl;
}
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