#677132 (C++17) No.1602 With Animals into Institute 2

提出ソース

結果

問題	No.1602 With Animals into Institute 2
ユーザー	👑 hitonanode
提出日時	2021-07-10 14:46:49
言語	C++17 (gcc 13.2.0 + boost 1.83.0)
結果	AC
実行時間	619 ms / 4,000 ms
コード長	10,006 bytes
コンパイル時間	2,630 ms
コンパイル使用メモリ	176,012 KB
実行使用メモリ	36,520 KB
最終ジャッジ日時	2023-09-14 19:28:09
合計ジャッジ時間	11,400 ms
ジャッジサーバーID （参考情報）	judge14 / judge13

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 4,380 KB
testcase_01	AC	2 ms 4,376 KB
testcase_02	AC	2 ms 4,376 KB
testcase_03	AC	5 ms 4,376 KB
testcase_04	AC	5 ms 4,380 KB
testcase_05	AC	6 ms 4,376 KB
testcase_06	AC	402 ms 33,356 KB
testcase_07	AC	400 ms 33,244 KB
testcase_08	AC	619 ms 36,396 KB
testcase_09	AC	594 ms 36,380 KB
testcase_10	AC	581 ms 36,272 KB
testcase_11	AC	569 ms 36,472 KB
testcase_12	AC	553 ms 36,484 KB
testcase_13	AC	555 ms 36,368 KB
testcase_14	AC	514 ms 36,400 KB
testcase_15	AC	501 ms 36,520 KB
testcase_16	AC	500 ms 36,280 KB
testcase_17	AC	519 ms 36,332 KB
testcase_18	AC	6 ms 4,380 KB
testcase_19	AC	6 ms 4,380 KB
testcase_20	AC	6 ms 4,380 KB
testcase_21	AC	6 ms 4,380 KB
testcase_22	AC	6 ms 4,376 KB
testcase_23	AC	6 ms 4,376 KB
testcase_24	AC	6 ms 4,376 KB
testcase_25	AC	6 ms 4,380 KB
testcase_26	AC	6 ms 4,380 KB
testcase_27	AC	2 ms 4,380 KB
testcase_28	AC	2 ms 4,376 KB
testcase_29	AC	2 ms 4,380 KB
testcase_30	AC	1 ms 4,380 KB
testcase_31	AC	1 ms 4,380 KB
testcase_32	AC	2 ms 4,380 KB
testcase_33	AC	2 ms 4,376 KB
testcase_34	AC	1 ms 4,380 KB
testcase_35	AC	1 ms 4,376 KB
testcase_36	AC	2 ms 4,380 KB
testcase_37	AC	2 ms 4,384 KB
testcase_38	AC	2 ms 4,376 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

raw source code

#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <chrono>
#include <cmath>
#include <complex>
#include <deque>
#include <forward_list>
#include <fstream>
#include <functional>
#include <iomanip>
#include <ios>
#include <iostream>
#include <limits>
#include <list>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <tuple>
#include <type_traits>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
using namespace std;
using lint = long long;
using pint = pair<int, int>;
using plint = pair<lint, lint>;
struct fast_ios { fast_ios(){ cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(20); }; } fast_ios_;
#define ALL(x) (x).begin(), (x).end()
#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, typename V>
void ndarray(vector<T>& vec, const V& val, int len) { vec.assign(len, val); }
template <typename T, typename V, typename... Args> void ndarray(vector<T>& vec, const V& val, int len, Args... args) { vec.resize(len), for_each(begin(vec), end(vec), [&](T& v) { ndarray(v, val, args...); }); }
template <typename T> bool chmax(T &m, const T q) { return m < q ? (m = q, true) : false; }
template <typename T> bool chmin(T &m, const T q) { return m > q ? (m = q, true) : false; }
int floor_lg(long long x) { return x <= 0 ? -1 : 63 - __builtin_clzll(x); }
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> vector<T> sort_unique(vector<T> vec) { sort(vec.begin(), vec.end()), vec.erase(unique(vec.begin(), vec.end()), vec.end()); return vec; }
template <typename T> int arglb(const std::vector<T> &v, const T &x) { return std::distance(v.begin(), std::lower_bound(v.begin(), v.end(), x)); }
template <typename T> int argub(const std::vector<T> &v, const T &x) { return std::distance(v.begin(), std::upper_bound(v.begin(), v.end(), x)); }
template <typename T> istream &operator>>(istream &is, vector<T> &vec) { for (auto &v : vec) is >> v; return is; }
template <typename T> ostream &operator<<(ostream &os, const vector<T> &vec) { os << '['; for (auto v : vec) os << v << ','; os << ']'; return os; }
template <typename T, size_t sz> ostream &operator<<(ostream &os, const array<T, sz> &arr) { os << '['; for (auto v : arr) os << v << ','; os << ']'; return os; }
#if __cplusplus >= 201703L
template <typename... T> istream &operator>>(istream &is, tuple<T...> &tpl) { std::apply([&is](auto &&... args) { ((is >> args), ...);}, tpl); return is; }
template <typename... T> ostream &operator<<(ostream &os, const tuple<T...> &tpl) { os << '('; std::apply([&os](auto &&... args) { ((os << args << ','), ...);}, tpl); return os << ')'; }
#endif
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, typename TH> ostream &operator<<(ostream &os, const unordered_set<T, TH> &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, typename TH> ostream &operator<<(ostream &os, const unordered_map<TK, TV, TH> &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; }
#ifdef HITONANODE_LOCAL
const string COLOR_RESET = "\033[0m", BRIGHT_GREEN = "\033[1;32m", BRIGHT_RED = "\033[1;31m", BRIGHT_CYAN = "\033[1;36m", NORMAL_CROSSED = "\033[0;9;37m", RED_BACKGROUND = "\033[1;41m", NORMAL_FAINT = "\033[0;2m";
#define dbg(x) cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << endl
#define dbgif(cond, x) ((cond) ? cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << endl : cerr)
#else
#define dbg(x) (x)
#define dbgif(cond, x) 0
#endif

// https://gist.github.com/wata-orz/d3037bd0b919c76dd9ddc0379e1e3192
constexpr lint INF = 1LL << 60;

struct SSSP {
    int s;
    vector<lint> dist;
    vector<int> parent, depth;
};

SSSP sssp(const vector<vector<pint>> &g, int s) {
    vector<lint> dist(g.size(), INF);
    vector<int> depth(g.size()), parent(depth.size());
    priority_queue<plint> que;
    dist[s] = 0;
    depth[s] = 0;
    que.emplace(0, s);
    while (que.size()) {
        auto [d, u] = que.top();
        que.pop();
        d = -d;
        if (dist[u] != d) {
            continue;
        }
        for (auto [v, l] : g[u]) {
            lint d2 = d + l;
            if (chmin(dist[v], d2)) {
                depth[v] = depth[u] + 1;
                parent[v] = u;
                que.emplace(-d2, v);
            }
        }
    }
    return SSSP{s, dist, parent, depth};
}

// UnionFind Tree (0-indexed), based on size of each disjoint set
struct UnionFind {
    vector<int> ps;
    UnionFind(int N = 0) : ps(N, -1) {
    }
    int find(int x) {
        if (ps[x] == -1) return x;
        else {
            int r = find(ps[x]);
            ps[x] = r;
            return r;
        }
    }
    void unite(int r, int c) { ps[c] = r; }
};


vector<lint> sssup(const vector<vector<pint>> &g, const SSSP &sp, const vector<vector<int>> is_consistent) {
    REP(i, g.size()) assert(g[i].size() == is_consistent[i].size());
    vector<lint> dist(g.size(), INF);
    UnionFind uf(g.size());
    using P = tuple<lint, int, int>;
    priority_queue<P> que;
    REP(u, g.size()) {
        REP(i, g[u].size()) {
            auto [v, l] = g[u][i];
            if (u < v and !is_consistent[u][i]) {
                que.emplace(-(sp.dist[u] + sp.dist[v] + l), u, i);
            }
        }
    }
    while (que.size()) {
        auto [h, u0, i] = que.top();
        que.pop();
        h = -h;
        const int v0 = g[u0][i].first;
        int u = uf.find(u0), v = uf.find(v0);
        vector<int> bs;
        while (u != v) {
            if (sp.depth[u] > sp.depth[v]) {
                bs.push_back(u);
                u = uf.find(sp.parent[u]);
            } else {
                bs.push_back(v);
                v = uf.find(sp.parent[v]);
            }
        }
        for (auto x : bs) {
            uf.unite(u, x);
            dist[x] = h - sp.dist[x];
            REP(i, g[x].size()) {
                if (is_consistent[x][i]) {
                    const auto [y, l] = g[x][i];
                    que.emplace(-(dist[x] + sp.dist[y] + l), x, i);
                }
            }
        }
    }
    return dist;
}

// Weighted UnionFind
template <typename T> struct WeightedUnionFind {
    std::vector<int> par, sz;
    std::vector<T> pot;
    WeightedUnionFind(int N = 0) : par(N), sz(N, 1), pot(N) { std::iota(par.begin(), par.end(), 0); }
    int find(int x) {
        if (par[x] != x) {
            int r = find(par[x]);
            pot[x] = pot[x] ^ pot[par[x]], par[x] = r;
        }
        return par[x];
    }
    bool unite(int s, int t, T rel_diff) {
        // Relate s and t by t = s + rel_diff
        // Return false iff contradiction happens.
        rel_diff = rel_diff ^ weight(s) ^ weight(t);
        if ((s = find(s)) == (t = find(t))) return rel_diff == 0;
        if (sz[s] < sz[t]) std::swap(s, t);
        par[t] = s, sz[s] += sz[t], pot[t] = rel_diff;
        return true;
    }
    T weight(int x) {
        find(x);
        return pot[x];
    }
    T diff(int s, int t) { return weight(t) ^ weight(s); }
    int count(int x) { return sz[find(x)]; }
    bool same(int s, int t) { return find(s) == find(t); }
};

int main() {
    int N, M, K;
    cin >> N >> M >> K;
    vector<vector<pint>> to(N);
    vector<vector<tuple<int, int, unsigned>>> to2(N);

    vector<tuple<int, int, int>> edges;
    REP(e, M) {
        int a, b, c;
        string x;
        cin >> a >> b >> c >> x;
        unsigned m = 0;
        for (auto c : x) m = m * 2 + c - '0';
        a--, b--;
        to[a].emplace_back(b, c);
        to[b].emplace_back(a, c);
        to2[a].emplace_back(b, c, m);
        to2[b].emplace_back(a, c, m);
    }
    auto sp = sssp(to, N - 1);
    WeightedUnionFind<unsigned> wuf(N);

    REP(i, N) {
        for (auto [j, w, g] : to2[i]) {
            if (sp.parent[j] == i and sp.dist[i] + w == sp.dist[j] and !wuf.same(i, j)) wuf.unite(i, j, g);
        }
    }

    vector<vector<int>> is_consistent(N);
    REP(i, N) {
        for (auto [j, w, g] : to2[i]) {
            auto diff = wuf.diff(i, j);
            is_consistent[i].push_back(diff == g);
        }
    }
    to2.clear();

    vector<lint> ret = sssup(to, sp, is_consistent);
    REP(i, N - 1) {
        lint x = ret[i];
        if (wuf.diff(N - 1, i)) chmin(x, sp.dist[i]);
        cout << (x == INF ? -1 : x) << '\n';
    }
}

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結果

テストケース

ソースコード