結果

問題 No.1683 Robot Guidance
ユーザー SumitacchanSumitacchan
提出日時 2021-08-04 10:08:53
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 53 ms / 2,000 ms
コード長 5,890 bytes
コンパイル時間 2,120 ms
コンパイル使用メモリ 206,312 KB
実行使用メモリ 34,548 KB
最終ジャッジ日時 2024-06-29 19:21:41
合計ジャッジ時間 4,830 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge3
このコードへのチャレンジ
（要ログイン）

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 32 ms
34,368 KB
testcase_01 AC 31 ms
34,472 KB
testcase_02 AC 29 ms
34,464 KB
testcase_03 AC 31 ms
34,488 KB
testcase_04 AC 32 ms
34,312 KB
testcase_05 AC 33 ms
34,432 KB
testcase_06 AC 36 ms
34,464 KB
testcase_07 AC 34 ms
34,312 KB
testcase_08 AC 49 ms
34,504 KB
testcase_09 AC 35 ms
34,428 KB
testcase_10 AC 42 ms
34,432 KB
testcase_11 AC 42 ms
34,444 KB
testcase_12 AC 49 ms
34,308 KB
testcase_13 AC 33 ms
34,376 KB
testcase_14 AC 45 ms
34,476 KB
testcase_15 AC 36 ms
34,308 KB
testcase_16 AC 34 ms
34,400 KB
testcase_17 AC 34 ms
34,468 KB
testcase_18 AC 32 ms
34,440 KB
testcase_19 AC 33 ms
34,508 KB
testcase_20 AC 33 ms
34,424 KB
testcase_21 AC 33 ms
34,380 KB
testcase_22 AC 33 ms
34,476 KB
testcase_23 AC 35 ms
34,464 KB
testcase_24 AC 53 ms
34,460 KB
testcase_25 AC 34 ms
34,496 KB
testcase_26 AC 36 ms
34,456 KB
testcase_27 AC 33 ms
34,532 KB
testcase_28 AC 34 ms
34,468 KB
testcase_29 AC 34 ms
34,544 KB
testcase_30 AC 34 ms
34,452 KB
testcase_31 AC 35 ms
34,380 KB
testcase_32 AC 35 ms
34,340 KB
testcase_33 AC 39 ms
34,448 KB
testcase_34 AC 39 ms
34,464 KB
testcase_35 AC 39 ms
34,312 KB
testcase_36 AC 37 ms
34,540 KB
testcase_37 AC 33 ms
34,548 KB
testcase_38 AC 32 ms
34,372 KB
testcase_39 AC 34 ms
34,548 KB
testcase_40 AC 33 ms
34,512 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>
using namespace std;
//using namespace atcoder;
using ll = long long;

struct fast_ios { fast_ios(){ cin.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(20); }; } fast_ios_;
#define FOR(i, begin, end) for(int i=(begin);i<(end);i++)
#define REP(i, n) FOR(i,0,n)
#define IFOR(i, begin, end) for(int i=(end)-1;i>=(begin);i--)
#define IREP(i, n) IFOR(i,0,n)
#define Sort(v) sort(v.begin(), v.end())
#define Reverse(v) reverse(v.begin(), v.end())
#define all(v) v.begin(),v.end()
#define SZ(v) ((int)v.size())
#define Lower_bound(v, x) distance(v.begin(), lower_bound(v.begin(), v.end(), x))
#define Upper_bound(v, x) distance(v.begin(), upper_bound(v.begin(), v.end(), x))
#define chmax(a, b) a = max(a, b)
#define chmin(a, b) a = min(a, b)
#define bit(n) (1LL<<(n))
#define debug(x) cout << #x << "=" << x << endl;
#define vdebug(v) { cout << #v << "=" << endl; REP(i_debug, v.size()){ cout << v[i_debug] << ","; } cout << endl; }
#define mdebug(m) { cout << #m << "=" << endl; REP(i_debug, m.size()){ REP(j_debug, m[i_debug].size()){ cout << m[i_debug][j_debug] << ","; } cout << endl;} }
#define pb push_back
#define fi first
#define se second
#define int long long
#define INF 1000000000000000000
template<typename T> istream &operator>>(istream &is, vector<T> &v){ for (auto &x : v) is >> x; return is; }
template<typename T> ostream &operator<<(ostream &os, vector<T> &v){ for(int i = 0; i < v.size(); i++) { cout << v[i]; if(i != v.size() - 1) cout << endl; }; return os; }
template<typename T1, typename T2> ostream &operator<<(ostream &os, pair<T1, T2> p){ cout << '(' << p.first << ',' << p.second << ')'; return os; }
template<typename T> void Out(T x) { cout << x << endl; }
template<typename T1, typename T2> void chOut(bool f, T1 y, T2 n) { if(f) Out(y); else Out(n); }

using vec = vector<int>;
using mat = vector<vec>;
using Pii = pair<int, int>;
using v_bool = vector<bool>;
using v_Pii = vector<Pii>;

//int dx[4] = {1,0,-1,0};
//int dy[4] = {0,1,0,-1};
//char d[4] = {'D','R','U','L'};

const int mod = 1000000007;
//const int mod = 998244353;

template<long long MOD>
struct ModInt{

    using ll = long long;
    ll val;

    void setval(ll v) { val = v % MOD; };
    ModInt(): val(0) {}
    ModInt(ll v) { setval(v); };

    ModInt operator+(const ModInt &x) const { return ModInt(val + x.val); }
    ModInt operator-(const ModInt &x) const { return ModInt(val - x.val + MOD); }
    ModInt operator*(const ModInt &x) const { return ModInt(val * x.val); }
    ModInt operator/(const ModInt &x) const { return *this * x.inv(); }
    ModInt operator-() const { return ModInt(MOD - val); }
    ModInt operator+=(const ModInt &x) { return *this = *this + x; }
    ModInt operator-=(const ModInt &x) { return *this = *this - x; }
    ModInt operator*=(const ModInt &x) { return *this = *this * x; }
    ModInt operator/=(const ModInt &x) { return *this = *this / x; }
    bool operator==(const ModInt &x) const { return (*this).val == x.val; }

    friend ostream& operator<<(ostream &os, const ModInt &x) { os << x.val; return os; }
    friend istream& operator>>(istream &is, ModInt &x) { is >> x.val; x.val = (x.val % MOD + MOD) % MOD; return is; }

    ModInt pow(ll n) const {
        ModInt a = 1;
        if(n == 0) return a;
        int i0 = 64 - __builtin_clzll(n);
        for(int i = i0 - 1; i >= 0; i--){
            a = a * a;
            if((n >> i) & 1) a *= (*this); 
        }
        return a;
    }
    ModInt inv() const { return this->pow(MOD - 2); }
};

using mint = ModInt<mod>; mint pow(mint x, long long n) { return x.pow(n); }
//using mint = double; //for debug
using mvec = vector<mint>;
using mmat = vector<mvec>;

struct Combination{

    vector<mint> fact, invfact;

    Combination(int N){
        fact = vector<mint>({mint(1)});
        invfact = vector<mint>({mint(1)});
        fact_initialize(N);
    }

    void fact_initialize(int N){
        int i0 = fact.size();
        if(i0 >= N + 1) return;
        fact.resize(N + 1);
        invfact.resize(N + 1);
        for(int i = i0; i <= N; i++) fact[i] = fact[i - 1] * i;
        invfact[N] = (mint)1 / fact[N];
        for(int i = N - 1; i >= i0; i--) invfact[i] = invfact[i + 1] * (i + 1); 
    }

    mint nCr(int n, int r){
        if(n < 0 || r < 0 || r > n) return mint(0);
        if(fact.size() < n + 1) fact_initialize(n);
        return fact[n] * invfact[r] * invfact[n - r];
    }

    mint nPr(int n, int r){
        if(n < 0 || r < 0 || r > n) return mint(0);
        if(fact.size() < n + 1) fact_initialize(n);
        return fact[n] * invfact[n - r];
    }

    mint Catalan(int n){
        if(n < 0) return 0;
        else if(n == 0) return 1;
        if(fact.size() < 2 * n + 1) fact_initialize(2 * n);
        return fact[2 * n] * invfact[n + 1] * invfact[n];
    }

};

//a_1+...+a_t=nを満たす非負整数の組の数
mint calc_comb(int t, int n, Combination &C){
    if(t == 0 && n == 0) return 1;
    else return C.nCr(n + t - 1, t - 1);
}

signed main(){

    int A, B, X, Y; cin >> A >> B >> X >> Y;
    assert(0 <= A && A <= 1000000);
    assert(0 <= B && B <= 1000000);
    assert(-1000000 <= X && X <= 1000000);
    assert(-1000000 <= Y && Y <= 1000000);

    int Txp = (B + 4) / 4, Typ = (B + 3) / 4, Txm = (B + 2) / 4, Tym = (B + 1) / 4;
    Combination C(2000000);

    mint ans = 0;
    FOR(mx, 0, A + 1){
        int my = A - mx;
        if((mx - X) % 2 != 0 || (my - Y) % 2 != 0) continue;

        int nxp = (mx + X) / 2, nxm = (mx - X) / 2;
        if(nxp < 0 || nxm < 0) continue;

        int nyp = (my + Y) / 2, nym = (my - Y) / 2;
        if(nyp < 0 || nym < 0) continue;

        mint t = 1;
        t *= calc_comb(Txp, nxp, C);
        t *= calc_comb(Txm, nxm, C);
        t *= calc_comb(Typ, nyp, C);
        t *= calc_comb(Tym, nym, C);
        ans += t;
    }
    cout << ans << endl;

    return 0;
}
0