Submission #1320216

#TimeUsernameProblemLanguageResultExecution timeMemory
1320216BolatuluMarathon Race 2 (JOI24_ho_t3)C++20
0 / 100
0 ms332 KiB
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef long double db;

#define int ll
#define all(x) (x).begin(), (x).end()

constexpr int maxn = 500'007;
constexpr ll inf = 1e18 + 7;
constexpr ll M = 1e9 + 7;

int binpow(int a, int n) {
    if (n == 0)
        return 1;
    if (n & 1)
        return a * binpow(a, n - 1) % M;
    int x = binpow(a, n >> 1);
    return x * x % M;
}

const int dx[4] = {-1, 0, 1, 0};
const int dy[4] = {0, 1, 0, -1};
const db eps = 0.00000000001;

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

int random(int l, int r) {
    return uniform_int_distribution<int>(l, r)(rng);
}

int n, l, x[maxn], q, dp[2][2002][2002][2], pref[maxn][2], suf[maxn][2];

void solve() {
    cin >> n >> l;
    l++;
    for (int i = 1; i <= n; i++)
        cin >> x[i];
    sort(x + 1, x + n + 1);

    for (int i = 1; i <= n; i++) {
        for (int j = i; j <= n; j++) {
            for (int t1 = 0; t1 < 2; t1++) {
                for (int t2 = 0; t2 < 2; t2++) {
                    dp[t1][i][j][t2] = inf;
                }
            }
        }
    }
    dp[0][1][n][0] = 0;
    dp[1][1][n][1] = 0;

    for (int k = n; k > 1; k--) {
        for (int i = 1; i + k - 1 <= n; i++) {
            int j = i + k - 1;
            for (int t = 0; t < 2; t++) {
                dp[t][i + 1][j][0] = min(dp[t][i + 1][j][0], dp[t][i][j][0] + (x[i + 1] - x[i]) * (n - (k - 1) + 1));
                // dp[t][i + 1][j][1] = min(dp[t][i + 1][j][1], dp[t][i][j][0] + (x[j] - x[i]) * (n - (k - 1) + 1));

                // dp[t][i][j - 1][0] = min(dp[t][i][j - 1][0], dp[t][i][j][1] + (x[j] - x[i]) * (n - (k - 1) + 1));
                dp[t][i][j - 1][1] = min(dp[t][i][j - 1][1], dp[t][i][j][1] + (x[j] - x[j - 1]) * (n - (k - 1) + 1));
            }
        }
    }

    pref[0][0] = pref[0][1] = inf;
    for (int i = 1; i <= n; i++) {
        pref[i][0] = min(dp[0][i][i][0] - x[i] * (n + 1) + n, pref[i - 1][0]);
        pref[i][1] = min(dp[1][i][i][0] - x[i] * (n + 1) + n, pref[i - 1][1]);
    }
    suf[n + 1][0] = suf[n + 1][1] = inf;
    for (int i = n; i >= 1; i--) {
        suf[i][0] = min(dp[0][i][i][0] + x[i] * (n + 1) + n, suf[i + 1][0]);
        suf[i][1] = min(dp[1][i][i][0] + x[i] * (n + 1) + n, suf[i + 1][1]);
    }

    cin >> q;
    while (q--) {
        int s, g, t;
        cin >> s >> g >> t;
        
        int l = 0, r = n + 1;
        while (l + 1 < r) {
            int mid = (l + r) / 2;
            if (x[mid] <= g)
                l = mid;
            else
                r = mid;
        }

        int res = min({pref[l][0] + g * (n + 1) + abs(s - x[1]), pref[l][1] + g * (n + 1) + abs(x[n] - s), 
            suf[l + 1][0] - g * (n + 1) + abs(s - x[1]), suf[l + 1][1] - g * (n + 1) + abs(x[n] - s)});

        // cout << res << ' ';
        if (res <= t)   
            cout << "Yes\n";
        else
            cout << "No\n";
    }
}

signed main() {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    cout.tie(nullptr);
    int test = 1;
    // cin >> test;
    while (test--) {
        solve();
        // cout << '\n';
    }
    return 0;
}
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