結果

問題 No.20 砂漠のオアシス
ユーザー Shuz*Shuz*
提出日時 2021-12-19 17:39:14
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 43 ms / 5,000 ms
コード長 11,838 bytes
コンパイル時間 2,130 ms
コンパイル使用メモリ 185,420 KB
実行使用メモリ 7,936 KB
最終ジャッジ日時 2024-09-15 14:41:47
合計ジャッジ時間 3,096 ms
ジャッジサーバーID
(参考情報)
judge1 / judge6
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 2 ms
5,248 KB
testcase_01 AC 2 ms
5,376 KB
testcase_02 AC 2 ms
5,376 KB
testcase_03 AC 3 ms
5,376 KB
testcase_04 AC 4 ms
5,376 KB
testcase_05 AC 35 ms
7,824 KB
testcase_06 AC 42 ms
7,808 KB
testcase_07 AC 43 ms
7,808 KB
testcase_08 AC 39 ms
7,936 KB
testcase_09 AC 43 ms
7,936 KB
testcase_10 AC 2 ms
5,376 KB
testcase_11 AC 2 ms
5,376 KB
testcase_12 AC 3 ms
5,376 KB
testcase_13 AC 3 ms
5,376 KB
testcase_14 AC 5 ms
5,376 KB
testcase_15 AC 4 ms
5,376 KB
testcase_16 AC 9 ms
5,376 KB
testcase_17 AC 6 ms
5,376 KB
testcase_18 AC 7 ms
5,376 KB
testcase_19 AC 9 ms
5,376 KB
testcase_20 AC 2 ms
5,376 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;
// #pragma GCC target("arch=skylake-avx512")
// #include <atcoder/all>
// using namespace atcoder;
// #define NDEBUG

#pragma region template
// Define
using ll = long long;
using ull = unsigned long long;
using ld = long double;
template <class T> using pvector = vector<pair<T, T>>;
template <class T> using rpriority_queue = priority_queue<T, vector<T>, greater<T>>;
constexpr const ll dx[4] = {1, 0, -1, 0};
constexpr const ll dy[4] = {0, 1, 0, -1};
constexpr const ll MOD = 1e9 + 7;
constexpr const ll mod = 998244353;
constexpr const ll INF = 1LL << 60;
constexpr const ll inf = 1 << 30;
constexpr const char rt = '\n';
constexpr const char sp = ' ';
#define rt(i, n) (i == (ll) (n) -1 ? rt : sp)
#define len(x) ((ll) (x).size())
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define mp make_pair
#define mt make_tuple
#define pb push_back
#define eb emplace_back
#define ifn(x) if (not(x))
#define elif else if
#define elifn else ifn
#define fi first
#define se second
#define uniq(x) (sort(all(x)), (x).erase(unique(all(x)), (x).end()))
#define bis(x, y) ((ll) (lower_bound(all(x), y) - (x).begin()))

using graph = vector<vector<ll>>;
template <class T> using wgraph = vector<vector<pair<ll, T>>>;
bool __DIRECTED__ = true;
bool __ZERO_INDEXED__ = false;
istream &operator>>(istream &is, graph &g) {
    ll a, b;
    is >> a >> b;
    if (__ZERO_INDEXED__ == false) a--, b--;
    g[a].pb(b);
    if (__DIRECTED__ == false) g[b].pb(a);
    return is;
}
template <class T> istream &operator>>(istream &is, wgraph<T> &g) {
    ll a, b;
    T c;
    is >> a >> b >> c;
    if (__ZERO_INDEXED__ == false) a--, b--;
    g[a].pb({b, c});
    if (__DIRECTED__ == false) g[b].pb({a, c});
    return is;
}

template <class T> bool chmax(T &a, const T &b) {
    if (a < b) {
        a = b;
        return 1;
    }
    return 0;
}
template <class T> bool chmin(T &a, const T &b) {
    if (a > b) {
        a = b;
        return 1;
    }
    return 0;
}

// Debug
#ifdef NDEBUG
#define debug(...)
#define dumpi(a, h, w)
#define vdumpi(a, n)
#define dump(a, h, w)
#define vdump(a, n)
#else
#define debug(...)                                                                                 \
    {                                                                                              \
        cerr << __LINE__ << ": " << #__VA_ARGS__ << " = ";                                         \
        for (auto &&__i : {__VA_ARGS__}) cerr << "[" << __i << "] ";                               \
        cerr << rt;                                                                                \
    }

#define dumpi(a, h, w)                                                                             \
    {                                                                                              \
        cerr << __LINE__ << ": " << #a << " = [" << rt;                                            \
        rep(__i, h) {                                                                              \
            if (__i) cerr << ",\n";                                                                \
            cerr << "[";                                                                           \
            rep(__j, w) {                                                                          \
                if (__j) cerr << ", ";                                                             \
                if (abs(a[__i][__j]) >= INF / 2 and a[__i][__j] <= -INF / 2) cerr << '-';          \
                if (abs(a[__i][__j]) >= INF / 2) cerr << "∞";                                      \
                else                                                                               \
                    cerr << a[__i][__j];                                                           \
            }                                                                                      \
            cerr << "]";                                                                           \
        }                                                                                          \
        cerr << "\n]" << rt;                                                                       \
    }

#define vdumpi(a, n)                                                                               \
    {                                                                                              \
        cerr << __LINE__ << ": " << #a << " = [";                                                  \
        rep(__i, n) {                                                                              \
            if (__i) cerr << ", ";                                                                 \
            if (abs(a[__i]) >= INF / 2 and a[__i] <= -INF / 2) cerr << '-';                        \
            if (abs(a[__i]) >= INF / 2) cerr << "∞";                                               \
            else                                                                                   \
                cerr << a[__i];                                                                    \
        }                                                                                          \
        cerr << "]" << rt;                                                                         \
    }

#define dump(a, h, w)                                                                              \
    {                                                                                              \
        cerr << __LINE__ << ": " << #a << " = [" << rt;                                            \
        rep(__i, h) {                                                                              \
            if (__i) cerr << ",\n";                                                                \
            cerr << "[";                                                                           \
            rep(__j, w) {                                                                          \
                if (__j) cerr << ", ";                                                             \
                cerr << a[__i][__j];                                                               \
            }                                                                                      \
            cerr << "]";                                                                           \
        }                                                                                          \
        cerr << "\n]" << rt;                                                                       \
    }

#define vdump(a, n)                                                                                \
    {                                                                                              \
        cerr << __LINE__ << ": " << #a << " = [";                                                  \
        rep(__i, n) {                                                                              \
            if (__i) cerr << ", ";                                                                 \
            cerr << a[__i];                                                                        \
        }                                                                                          \
        cerr << "]" << rt;                                                                         \
    }
#endif

template <class S, class T> istream &operator>>(istream &is, pair<S, T> &p) {
    is >> p.first >> p.second;
    return is;
}
template <class S, class T> ostream &operator<<(ostream &os, const pair<S, T> &p) {
    os << p.first << ' ' << p.second;
    return os;
}

// Loop
#define inc(i, a, n) for (ll i = (a), _##i = (n); i <= _##i; ++i)
#define dec(i, a, n) for (ll i = (a), _##i = (n); i >= _##i; --i)
#define rep(i, n) for (ll i = 0, _##i = (n); i < _##i; ++i)
#define each(i, a) for (auto &&i : a)

// Stream
#define fout(n) cout << fixed << setprecision(n)
struct io {
    io() { cin.tie(nullptr), ios::sync_with_stdio(false); }
} io;

// Speed
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,tune=native")
#pragma GCC optimize("Ofast,unroll-loops")

// Math
inline constexpr ll gcd(const ll a, const ll b) { return b ? gcd(b, a % b) : a; }
inline constexpr ll lcm(const ll a, const ll b) { return a / gcd(a, b) * b; }

inline constexpr ll modulo(const ll n, const ll m = MOD) {
    ll k = n % m;
    return k + m * (k < 0);
}
inline constexpr ll chmod(ll &n, const ll m = MOD) {
    n %= m;
    return n += m * (n < 0);
}
inline constexpr ll mpow(ll a, ll n, const ll m = MOD) {
    ll r = 1;
    rep(i, 64) {
        if (n & (1LL << i)) r *= a;
        chmod(r, m);
        a *= a;
        chmod(a, m);
    }
    return r;
}
inline ll inv(const ll n, const ll m = MOD) {
    ll a = n, b = m, x = 1, y = 0;
    while (b) {
        ll t = a / b;
        a -= t * b;
        swap(a, b);
        x -= t * y;
        swap(x, y);
    }
    return modulo(x, m);
}
unsigned long long binary_gcd(unsigned long long x, unsigned long long y) {
    if (!x | !y) return x | y;
    unsigned long long cx = __builtin_ctzll(x), cy = __builtin_ctzll(y);
    x >>= cx, y >>= cy;
    while (x ^ y) {
        if (x > y) {
            x = (x - y) >> __builtin_ctzll(x ^ y);
        } else {
            y = (y - x) >> __builtin_ctzll(x ^ y);
        }
    }
    return x << min(cx, cy);
}

inline long long binary_gcd(long long x, long long y) {
    return binary_gcd((unsigned long long) (abs(x)), (unsigned long long) (abs(y)));
}

#define codeforces                                                                                 \
    ll testcases;                                                                                  \
    cin >> testcases;                                                                              \
    rep(testcase, testcases)
#define gcj(s) cout << s << testcase + 1 << ": "

#pragma endregion

template <typename T = ll> struct Dijkstra {
    ll V;
    using P = pair<ll, T>;
    using P2 = pair<T, ll>;
    vector<vector<P>> G;
    vector<T> dist;
    vector<bool> used;
    Dijkstra(ll v) : V(v), G(v), dist(v), used(v) {}
    void setDist(ll a, ll b, T d, ll indexed = 0, bool reverse = 0) {
        a -= indexed, b -= indexed;
        G[a].push_back(P(b, d));
        if (reverse) G[b].push_back(P(a, d));
    }
    void calc(ll s = 0) {
        priority_queue<P2, vector<P2>, greater<P2>> Q;
        Q.push(P2(0, s));
        fill_n(dist.begin(), V, INF);
        fill_n(used.begin(), V, false);
        while (!Q.empty()) {
            T d;
            ll t;
            tie(d, t) = Q.top(), Q.pop();
            if (used[t]) continue;
            used[t] = true, dist[t] = d;
            for (P e : G[t]) {
                if (dist[e.first] <= d + e.second) continue;
                Q.push(P2(d + e.second, e.first));
            }
        }
    }
};

signed main() {
    ll N, V, X, Y;
    cin >> N >> V >> Y >> X;
    ll L[N][N];
    Dijkstra<ll> d(N * N);
    rep(i, N) rep(j, N) cin >> L[i][j];
    rep(i, N) rep(j, N) {
        if (i) {
            d.setDist((i - 1) * N + j, i * N + j, L[i][j]);
            d.setDist(i * N + j, (i - 1) * N + j, L[i - 1][j]);
        }
        if (j) {
            d.setDist(i * N + j - 1, i * N + j, L[i][j]);
            d.setDist(i * N + j, i * N + j - 1, L[i][j - 1]);
        }
    }
    d.calc(0);
    ll ans = V - d.dist[N * N - 1] > 0;
    if (X) {
        ll d1 = d.dist[(X - 1) * N + Y - 1];
        d.calc((X - 1) * N + Y - 1);
        ll d2 = d.dist[N * N - 1];
        ans |= V - d1 > 0 && (V - d1) * 2 - d2 > 0;
    }

    cout << (ans ? "YES" : "NO") << endl;
}
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