Submission #1100585

#	Time	Username	Problem	Language	Result	Execution time	Memory
1100585		crafticat	Sprinklers (CEOI24_sprinklers)	C++17	6 / 100	898 ms	12064 KiB

Main

#include <bits/stdc++.h>

using namespace std;
template<typename T>
using V = vector<T>;
using vi = V<int>;
using vb = V<bool>;
using pi = pair<int,int>;


vi water, flowers;
V<bool> types;
set<int> problems;
constexpr int inf = 1e9 + 7;

bool between(int l, int r) {
    auto it = problems.upper_bound(l);
    if (it == problems.end() || *it >= r) return true;
    return false;
}

int pos(V<V<int>> &dp, int i, int lastR, int r) {
    int leftR = -1;
    if (i >= 0) {
        for (int j = 0; j < 3; ++j) {
            if (j == 0) leftR = water[i];
            if (j == 1 && i - 1 >= 0) leftR = water[i - 1] + r;
            if (j == 2) leftR = water[i] + r;
            if (dp[i][j] == -1) continue;
            if (between(leftR, lastR)) return j;
        }
    } else {
       return between(0, lastR) ? 0 : -1;
    }
    return -1;
}

bool ok(int r) {
    V<V<int>> dp(water.size() + 1, vi(3,-1));

    for (int i = 0; i < water.size(); ++i) {
        for (int j = 0; j < 3; ++j) {
            int lastR = -1;
            if (j == 0) lastR = water[i] - r;
            if (j == 1 && between(water[i - 1] + r, water[i] - r)) lastR = water[i] - r;
            if (j == 2) lastR = water[i];
            dp[i][j] = pos(dp,i - 1 + (j == 1 ? -1 : 0),lastR, r);
        }
    }

    // Backtrace
    int last = dp[water.size() - 1][2];
    int i = water.size() - 1;
    if (last == -1) return false;
    while (last != -1) {
        if (last == 1) {
            types.push_back(false);
            types.push_back(true);
            if (i - 2 < 0) return true;
            last = dp[i - 2][last];
            i -= 2;
        } else {
            types.push_back(last == 2);
            if (i - 1 < 0) return true;
            last = dp[i - 1][last];
            i--;
        }
    }
    return true;
}

int main() {
    ios_base::sync_with_stdio(false); cin.tie(nullptr);

    int n, m; cin >> n >> m;
    water.resize(n + 1);
    flowers.resize(m);

    for (int i = 0; i < n; ++i) {
        cin >> water[i];
        water[i]++;
    }
    water[n] = inf;
    for (int i = 0; i < m; ++i) {
        cin >> flowers[i];
        flowers[i]++;
        problems.insert(flowers[i]);
    }

    int l = 0, r = inf; // Last true
    while (r > l) {
        int mid = l + (r - l) / 2;
        if (ok(mid)) {
            r = mid;
        } else
            l = mid + 1;
    }

    types.clear();
    ok(l);
    if (l == inf) {
        cout << -1;
        return 0;
    }
    if (l == 0) l++;
    cout << l << "\n";
    types.pop_back();
    std::reverse(types.begin(), types.end());
    for (auto x : types) {
        cout << (x ? "R" : "L");
    }
    return 0;
}

Compilation message (stderr)

Main.cpp: In function 'bool ok(int)':
Main.cpp:41:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   41 |     for (int i = 0; i < water.size(); ++i) {
      |                     ~~^~~~~~~~~~~~~~

• Subtask 0: 0 / 0
• Subtask 1: 0 / 3
• Subtask 2: 6 / 6
• Subtask 3: 0 / 17
• Subtask 4: 0 / 27
• Subtask 5: 0 / 47