Submission #78672

#	Time	Username	Problem	Language	Result	Execution time	Memory
78672		imeimi2000	Meetings (IOI18_meetings)	C++17	100 / 100	5392 ms	204364 KiB

meetings

#include "meetings.h"
#include <algorithm>
#include <functional>

using namespace std;
typedef long long llong;
typedef pair<int, int> pii;

int n;

const llong inf = 1e18;
vector<llong> ans;
pii mx[1 << 21];

struct query {
    int i, l, r;
    query(int i, int l, int r) : i(i), l(l), r(r) {}
};

struct line {
    llong m, b;
    llong get(int x) const {
        return m * x + b;
    }
    line() {}
    line(llong m, llong b) : m(m), b(b) {}
};

struct node {
    llong lz;
    line l;
    llong get(int x) const {
        return l.get(x);
    }
} seg[1 << 21];

vector<query> qs[750001];
pii arr[750001];

void init(int i, int s, int e) {
    seg[i].l = line(0, inf);
    seg[i].lz = 0;
    if (s == e) {
        mx[i] = arr[s];
        return;
    }
    int m = (s + e) / 2;
    init(i << 1, s, m);
    init(i << 1 | 1, m + 1, e);
    mx[i] = max(mx[i << 1], mx[i << 1 | 1]);
}

pii getMax(int i, int s, int e, int x, int y) {
    if (e < x || y < s) return pii(0, 0);
    if (x <= s && e <= y) return mx[i];
    int m = (s + e) / 2;
    return max(getMax(i << 1, s, m, x, y), getMax(i << 1 | 1, m + 1, e, x, y));
}


void update(int i, int s, int e, int x, int y, line l) {
    if (e < x || y < s) return;
    l.b -= seg[i].lz;
    int m = (s + e) / 2;
    if (x <= s && e <= y) {
        bool A = seg[i].l.get(s) < l.get(s);
        bool B = seg[i].l.get(m) < l.get(m);
        if (!B) swap(seg[i].l, l);
        if (s == e) return;
        if (A != B) update(i << 1, s, m, x, y, l);
        else update(i << 1 | 1, m + 1, e, x, y, l);
        return;
    }
    update(i << 1, s, m, x, y, l);
    update(i << 1 | 1, m + 1, e, x, y, l);
}

void add(int i, int s, int e, int x, int y, llong v) {
    if (e < x || y < s) return;
    if (x <= s && e <= y) {
        seg[i].lz += v;
        return;
    }
    int m = (s + e) / 2;
    add(i << 1, s, m, x, y, v);
    add(i << 1 | 1, m + 1, e, x, y, v);
}

llong get(int i, int s, int e, int x) {
    llong ret = seg[i].get(x);
    if (s == e) return ret + seg[i].lz;
    int m = (s + e) / 2;
    if (x <= m) return min(ret, get(i << 1, s, m, x)) + seg[i].lz;
    return min(ret, get(i << 1 | 1, m + 1, e, x)) + seg[i].lz;
}

void getQuery(int s, int e) {
    if (s > e) return;
    int m = abs(getMax(1, 1, n, s, e).second);
    getQuery(s, m - 1);
    getQuery(m + 1, e);
    for (query q : qs[m]) {
        llong R = m < q.r ? get(1, 1, n, q.r) : 0;
        ans[q.i] = min(ans[q.i], R + (m - q.l + 1ll) * arr[m].first);
    }
    add(1, 1, n, m, e, (m - s + 1ll) * arr[m].first);
    llong Lm = s < m ? get(1, 1, n, m - 1) : 0;
    line l(arr[m].first, Lm + (1ll - m) * arr[m].first);
    update(1, 1, n, m, e, l);
}

vector<llong> minimum_costs(vector<int> H, vector<int> L, vector<int> R) {
    n = H.size();
    int q = L.size();
    ans.resize(q, inf);
    
    for (int i = 0; i < n; ++i) arr[i + 1] = pii(H[i], i + 1);
    init(1, 1, n);
    for (int i = 0; i < q; ++i) {
        int mx = getMax(1, 1, n, L[i] + 1,  R[i] + 1).second;
        qs[mx].emplace_back(i, L[i] + 1, R[i] + 1);
    }
    getQuery(1, n);
    
    for (int i = 1; i <= n; ++i) qs[i].clear();
    
    for (int i = 0; i < n; ++i) arr[n - i] = pii(H[i], i - n);
    init(1, 1, n);
    for (int i = 0; i < q; ++i) {
        int mx = -getMax(1, 1, n, n - R[i], n - L[i]).second;
        qs[mx].emplace_back(i, n - R[i], n - L[i]);
    }
    getQuery(1, n);
    return ans;
}

• Subtask 1: 4 / 4
• Subtask 2: 15 / 15
• Subtask 3: 17 / 17
• Subtask 4: 24 / 24
• Subtask 5: 40 / 40