結果

問題 No.867 避難経路
ユーザー 👑 hitonanodehitonanode
提出日時 2019-08-16 23:51:36
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 5,294 ms / 6,000 ms
コード長 4,983 bytes
コンパイル時間 1,948 ms
コンパイル使用メモリ 183,804 KB
実行使用メモリ 122,564 KB
最終ジャッジ日時 2023-10-24 10:58:18
合計ジャッジ時間 132,458 ms
ジャッジサーバーID
(参考情報)
judge13 / judge15
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 6 ms
4,348 KB
testcase_01 AC 6 ms
4,348 KB
testcase_02 AC 6 ms
4,348 KB
testcase_03 AC 6 ms
4,348 KB
testcase_04 AC 6 ms
4,348 KB
testcase_05 AC 6 ms
4,348 KB
testcase_06 AC 6 ms
4,348 KB
testcase_07 AC 6 ms
4,348 KB
testcase_08 AC 6 ms
4,348 KB
testcase_09 AC 6 ms
4,348 KB
testcase_10 AC 6 ms
4,348 KB
testcase_11 AC 6 ms
4,348 KB
testcase_12 AC 6 ms
4,348 KB
testcase_13 AC 6 ms
4,348 KB
testcase_14 AC 6 ms
4,348 KB
testcase_15 AC 4,707 ms
122,560 KB
testcase_16 AC 5,294 ms
122,560 KB
testcase_17 AC 4,903 ms
122,564 KB
testcase_18 AC 4,935 ms
122,560 KB
testcase_19 AC 5,030 ms
122,560 KB
testcase_20 AC 5,114 ms
122,560 KB
testcase_21 AC 4,377 ms
122,560 KB
testcase_22 AC 4,871 ms
122,560 KB
testcase_23 AC 4,925 ms
122,564 KB
testcase_24 AC 4,808 ms
122,560 KB
testcase_25 AC 4,665 ms
122,560 KB
testcase_26 AC 4,630 ms
122,560 KB
testcase_27 AC 4,757 ms
122,560 KB
testcase_28 AC 4,705 ms
122,548 KB
testcase_29 AC 4,940 ms
122,548 KB
testcase_30 AC 4,335 ms
122,548 KB
testcase_31 AC 4,299 ms
122,564 KB
testcase_32 AC 3,999 ms
122,564 KB
testcase_33 AC 4,222 ms
122,484 KB
testcase_34 AC 4,314 ms
121,456 KB
testcase_35 AC 4,525 ms
121,460 KB
testcase_36 AC 4,559 ms
119,516 KB
testcase_37 AC 4,250 ms
113,984 KB
testcase_38 AC 4,259 ms
113,988 KB
testcase_39 AC 4,002 ms
113,992 KB
testcase_40 AC 3,992 ms
114,040 KB
testcase_41 AC 3 ms
4,372 KB
testcase_42 AC 4 ms
4,372 KB
testcase_43 AC 4 ms
4,372 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 lint = long long int;
using pint = pair<int, int>;
using plint = pair<lint, lint>;
struct fast_ios { fast_ios(){ cin.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(20); }; } fast_ios_;
#define ALL(x) (x).begin(), (x).end()
#define SZ(x) ((lint)(x).size())
#define POW2(n) (1LL << (n))
#define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i<i##_end_;i++)
#define IFOR(i, begin, end) for(int i=(end)-1,i##_begin_=(begin);i>=i##_begin_;i--)
#define REP(i, n) FOR(i,0,n)
#define IREP(i, n) IFOR(i,0,n)
template<typename T> void ndarray(vector<T> &vec, int len) { vec.resize(len); }
template<typename T, typename... Args> void ndarray(vector<T> &vec, int len, Args... args) { vec.resize(len); for (auto &v : vec) ndarray(v, args...); }
template<typename T> bool mmax(T &m, const T q) { if (m < q) {m = q; return true;} else return false; }
template<typename T> bool mmin(T &m, const T q) { if (m > q) {m = q; return true;} else return false; }
template<typename T1, typename T2> pair<T1, T2> operator+(const pair<T1, T2> &l, const pair<T1, T2> &r) { return make_pair(l.first + r.first, l.second + r.second); }
template<typename T1, typename T2> pair<T1, T2> operator-(const pair<T1, T2> &l, const pair<T1, T2> &r) { return make_pair(l.first - r.first, l.second - r.second); }
template<typename T> istream &operator>>(istream &is, vector<T> &vec){ for (auto &v : vec) is >> v; return is; }
///// This part below is only for debug, not used /////
template<typename T> ostream &operator<<(ostream &os, const vector<T> &vec){ os << "["; for (auto v : vec) os << v << ","; os << "]"; return os; }
template<typename T> ostream &operator<<(ostream &os, const deque<T> &vec){ os << "deq["; for (auto v : vec) os << v << ","; os << "]"; return os; }
template<typename T> ostream &operator<<(ostream &os, const set<T> &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; }
template<typename T> ostream &operator<<(ostream &os, const unordered_set<T> &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; }
template<typename T> ostream &operator<<(ostream &os, const multiset<T> &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; }
template<typename T> ostream &operator<<(ostream &os, const unordered_multiset<T> &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; }
template<typename T1, typename T2> ostream &operator<<(ostream &os, const pair<T1, T2> &pa){ os << "(" << pa.first << "," << pa.second << ")"; return os; }
template<typename TK, typename TV> ostream &operator<<(ostream &os, const map<TK, TV> &mp){ os << "{"; for (auto v : mp) os << v.first << "=>" << v.second << ","; os << "}"; return os; }
template<typename TK, typename TV> ostream &operator<<(ostream &os, const unordered_map<TK, TV> &mp){ os << "{"; for (auto v : mp) os << v.first << "=>" << v.second << ","; os << "}"; return os; }
#define dbg(x) cerr << #x << " = " << (x) << " (L" << __LINE__ << ") " << __FILE__ << endl;
///// END /////

using wedges = vector<vector<plint>>; // (to, weight)
vector<lint> dijkstra(int N, int s, const wedges &w)
{
    vector<lint> dist(N, 1e18);
    dist[s] = 0;
    priority_queue<plint, vector<plint>, greater<plint>> pq;
    pq.emplace(0, s);
    while (!pq.empty())
    {
        plint p = pq.top();
        pq.pop();
        int v = p.second;
        if (dist[v] < p.first) continue;
        for (auto nx : w[v])
        {
            lint dnx = p.first + nx.second;
            if (dist[nx.first] > dnx)
            {
                dist[nx.first] = dnx;
                pq.emplace(dnx, nx.first);
            }
        }
    }
    return dist; // (distance, previous_node)
}

int main()
{
    int H, W;
    cin >> H >> W;
    int gx, gy;
    cin >> gx >> gy;
    gx--, gy--;
    vector<vector<lint>> A;
    ndarray(A, H, W);
    cin >> A;

    lint DD = 230;
    vector<vector<lint>> dijs(DD);
    REP(d, DD)
    {
        wedges edge(H * W);
        REP(i, H) REP(j, W)
        {
            if (j) edge[i * W + j - 1].emplace_back(i * W + j, A[i][j] + d * d);
            if (j + 1 < W) edge[i * W + j + 1].emplace_back(i * W + j, A[i][j] + d * d);
            if (i) edge[(i - 1) * W + j].emplace_back(i * W + j, A[i][j] + d * d);
            if (i + 1 < H) edge[(i + 1) * W + j].emplace_back(i * W + j, A[i][j] + d * d);
        }
        dijs[d] = dijkstra(H * W, gx * W + gy, edge);
    }
    int Q;
    cin >> Q;
    REP(i, Q)
    {
        lint x, y, k;
        cin >> x >> y >> k;
        x--, y--;
        if (k < DD - 1)
        {
            printf("%lld\n", dijs[k][x * W + y] + k * k + A[gx][gy]);
        }
        else
        {
            lint r1 = dijs[DD - 2][x * W + y], r2 = dijs[DD - 1][x * W + y];
            lint dr = (r2 - r1) / ((DD - 1) * (DD - 1) - (DD - 2) * (DD - 2));
            printf("%lld\n", r1 + dr * (k * k - (DD - 2) * (DD - 2)) + k * k + A[gx][gy]);
        }
    }
}
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