Submission #569524

#	Time	Username	Problem	Language	Result	Execution time	Memory
569524		Forested	Jakarta Skyscrapers (APIO15_skyscraper)	C++17	57 / 100	562 ms	262144 KiB

skyscraper

#ifndef LOCAL
#define FAST_IO
#endif

// ===== template.hpp =====
#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <cmath>
#include <iomanip>
#include <iostream>
#include <list>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <string>
#include <tuple>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>

#define OVERRIDE(a, b, c, d, ...) d
#define REP2(i, n) for (i32 i = 0; i < (i32) (n); ++i)
#define REP3(i, m, n) for (i32 i = (i32) (m); i < (i32) (n); ++i)
#define REP(...) OVERRIDE(__VA_ARGS__, REP3, REP2)(__VA_ARGS__)
#define PER(i, n) for (i32 i = (i32) (n) - 1; i >= 0; --i)
#define ALL(x) begin(x), end(x)

using namespace std;

using u32 = unsigned int;
using u64 = unsigned long long;
using u128 = __uint128_t;
using i32 = signed int;
using i64 = signed long long;
using i128 = __int128_t;
using f64 = double;
using f80 = long double;

template <typename T>
using Vec = vector<T>;

template <typename T>
bool chmin(T &x, const T &y) {
    if (x > y) {
        x = y;
        return true;
    }
    return false;
}
template <typename T>
bool chmax(T &x, const T &y) {
    if (x < y) {
        x = y;
        return true;
    }
    return false;
}

istream &operator>>(istream &is, i128 &x) {
    i64 v;
    is >> v;
    x = v;
    return is;
}
ostream &operator<<(ostream &os, i128 x) {
    os << (i64) x;
    return os;
}
istream &operator>>(istream &is, u128 &x) {
    u64 v;
    is >> v;
    x = v;
    return is;
}
ostream &operator<<(ostream &os, u128 x) {
    os << (u64) x;
    return os;
}

template <typename F, typename Comp = less<>>
Vec<i32> sort_index(i32 n, F f, Comp comp = Comp()) {
    Vec<i32> idx(n);
    iota(ALL(idx), 0);
    sort(ALL(idx), [&](i32 i, i32 j) -> bool {
        return comp(f(i), f(j));
    });
    return idx;
}

[[maybe_unused]] constexpr i32 INF = 1000000100;
[[maybe_unused]] constexpr i64 INF64 = 3000000000000000100;

#ifdef FAST_IO
struct FastIO {
    FastIO() {
        ios::sync_with_stdio(false);
        cin.tie(nullptr);
        cout << fixed << setprecision(10);
    }
} fast_io;
#endif
// ===== template.hpp =====

#ifdef DEBUGF
#include "cpl/template/debug.hpp"
#else
#define DBG(x) (void) 0
#endif

// ===== graph.hpp =====

#include <utility>
#include <vector>
#include <numeric>
#include <cassert>

template <typename Edge>
class Graph {
    std::vector<std::vector<Edge>> edges;

public:
    Graph() : edges() {}
    Graph(int v) : edges(v) {
        assert(v >= 0);
    }
    
    std::vector<int> add_vertices(int n) {
        int v = (int) edges.size();
        std::vector<int> idx(n);
        std::iota(idx.begin(), idx.end(), v);
        edges.resize(edges.size() + n);
        return idx;
    }

    template <typename... T>
    void add_directed_edge(int from, int to, T &&...val) {
        assert(from >= 0 && from < (int) edges.size());
        assert(to >= 0 && to < (int) edges.size());
        edges[from].emplace_back(Edge(to, std::forward<T>(val)...));
    }

    template <typename... T>
    void add_undirected_edge(int u, int v, const T &...val) {
        assert(u >= 0 && u < (int) edges.size());
        assert(v >= 0 && v < (int) edges.size());
        edges[u].emplace_back(Edge(v, val...));
        edges[v].emplace_back(Edge(u, val...));
    }

    int size() const {
        return (int) edges.size();
    }

    const std::vector<Edge> &operator[](int v) const {
        assert(v >= 0 && v < (int) edges.size());
        return edges[v];
    }

    std::vector<Edge> &operator[](int v) {
        assert(v >= 0 && v < (int) edges.size());
        return edges[v];
    }
};

struct UnweightedEdge {
    int to;

    UnweightedEdge(int t) : to(t) {}
    
    explicit operator int() const {
        return to;
    }

    using Weight = std::size_t;
    Weight weight() const {
        return 1;
    }
};

template <typename T>
struct WeightedEdge {
    int to;
    T wt;

    WeightedEdge(int t, const T &w) : to(t), wt(w) {}

    explicit operator int() const {
        return to;
    }

    using Weight = T;
    Weight weight() const {
        return wt;
    }
};

// ===== graph.hpp =====
// ===== dijkstra.hpp =====


#include <queue>
#include <limits>
#include <functional>

template <typename T>
std::vector<T> dijkstra(const Graph<WeightedEdge<T>> &g, int s) {
    std::vector<T> dist(g.size(), std::numeric_limits<T>::max());
    std::priority_queue<std::pair<T, int>, std::vector<std::pair<T, int>>, std::greater<>> pq;
    dist[s] = T(0);
    pq.emplace(0, s);
    while (!pq.empty()) {
        auto [d, v] = pq.top();
        pq.pop();
        if (d > dist[v]) {
            continue;
        }
        for (const WeightedEdge<T> &e : g[v]) {
            if (d + e.wt < dist[e.to]) {
                dist[e.to] = d + e.wt;
                pq.emplace(dist[e.to], e.to);
            }
        }
    }
    return dist;
}
// ===== dijkstra.hpp =====

int main() {
    i32 n, m;
    cin >> n >> m;
    Vec<i32> b(m), p(m);
    REP(i, m) {
        cin >> b[i] >> p[i];
    }
    
    i32 sqrtn = (i32) floor(sqrt(n));
    
    Graph<WeightedEdge<i32>> g((sqrtn + 1) * n);
    REP(d, 1, sqrtn + 1) {
        REP(i, n - d) {
            i32 v = d * n + i;
            g.add_undirected_edge(v, v + d, 1);
        }
        REP(i, n) {
            i32 v = d * n + i;
            g.add_directed_edge(v, i, 0);
        }
    }
    REP(i, m) {
        if (p[i] <= sqrtn) {
            g.add_undirected_edge(b[i], p[i] * n + b[i], 0);
            continue;
        }
        i32 num = n / p[i];
        if (b[i] % p[i] < n % p[i]) {
            ++num;
        }
        i32 cent = b[i] / p[i];
        REP(j, num) {
            i32 pos = b[i] + (j - cent) * p[i];
            g.add_directed_edge(b[i], pos, abs(j - cent));
        }
    }
    
    DBG(dijkstra(g, b[0]));
    i32 ans = dijkstra(g, b[0])[b[1]];
    if (ans == numeric_limits<i32>::max()) {
        cout << -1 << '\n';
    } else {
        cout << ans << '\n';
    }
}

• Subtask 1: 10 / 10
• Subtask 2: 12 / 12
• Subtask 3: 14 / 14
• Subtask 4: 21 / 21
• Subtask 5: 0 / 43