Submission #413782

#	Time	Username	Problem	Language	Result	Execution time	Memory
413782		timmyfeng	Seats (IOI18_seats)	C++17	100 / 100	2291 ms	177644 KiB

seats

#include <bits/stdc++.h>
using namespace std;
 
const int N = 1000000;
 
struct segtree {
    segtree *left, *right;
    int mini, count, lazy;
 
    void apply(int x) {
        lazy += x, mini += x;
    }
 
    void push() {
        if (lazy != 0) {
            left->apply(lazy);
            right->apply(lazy);
            lazy = 0;
        }
    }
 
    void pull() {
        mini = min(left->mini, right->mini);
        count = 0;
        if (left->mini == mini) {
            count += left->count;
        }
        if (right->mini == mini) {
            count += right->count;
        }
    }
 
    segtree(int l, int r, int *x) {
        lazy = 0;
        if (l == r) {
            mini = x[l], count = 1;
        } else {
            int m = (l + r) / 2;
            left = new segtree(l, m, x);
            right = new segtree(m + 1, r, x);
            pull();
        }
    }
 
    void update(int a, int b, int x, int l, int r) {
        if (a <= l && r <= b) {
            apply(x);
        } else {
            push();
            int m = (l + r) / 2;
            if (a <= m) {
                left->update(a, b, x, l, m);
            }
            if (b > m) {
                right->update(a, b, x, m + 1, r);
            }
            pull();
        }
    }
};
 
array<int, 2> pos[N];
vector<int> seats[N];
int sum[N], n, m;
segtree *mini;
 
void update(int i, int j, int k) {
    vector<int> in;
    for (int r = max(0, i - 1); r <= min(n - 1, i); ++r) {
        for (int c = max(0, j - 1); c <= min(m - 1, j); ++c) {
            in.push_back(seats[r][c]);
        }
    }
    sort(in.begin(), in.end());

    if (k == 0) {
        ++sum[in[0]];
        if (in.size() > 1) {
            --sum[in[1]];
            if (in.size() == 4) {
                ++sum[in[2]], --sum[in[3]];
            }
        }
    } else {
        mini->update(in[0], (in.size() == 1 ? n * m : in[1]) - 1, k, 0, n * m - 1);
        if (in.size() == 4) {
            mini->update(in[2], in[3] - 1, k, 0, n * m - 1);
        }
    }
}
 
void give_initial_chart(int n, int m, vector<int> r, vector<int> c) {
    ::n = n, ::m = m;
    fill(seats, seats + n, vector<int>(m));
    for (int i = 0; i < n * m; ++i) {
        seats[r[i]][c[i]] = i;
        pos[i] = {r[i], c[i]};
    }
 
    for (int i = 0; i <= n; ++i) {
        for (int j = 0; j <= m; ++j) {
            update(i, j, 0);
        }
    }

    partial_sum(sum, sum + n * m, sum);
    mini = new segtree(0, n * m - 1, sum);
}
 
int swap_seats(int a, int b) {
    vector<array<int, 2>> cells;
    for (auto k : {a, b}) {
        auto [i, j] = pos[k];
        for (auto ki : {0, 1}) {
            for (auto kj : {0, 1}) {
                cells.push_back({i + ki, j + kj});
            }
        }
    }
 
    sort(cells.begin(), cells.end());
    cells.erase(unique(cells.begin(), cells.end()), cells.end());
 
    for (auto [i, j] : cells) {
        update(i, j, -1);
    }
 
    swap(seats[pos[a][0]][pos[a][1]], seats[pos[b][0]][pos[b][1]]);
    swap(pos[a], pos[b]);
 
    for (auto [i, j] : cells) {
        update(i, j, 1);
    }
 
    return mini->count;
}

• Subtask 1: 5 / 5
• Subtask 2: 6 / 6
• Subtask 3: 20 / 20
• Subtask 4: 6 / 6
• Subtask 5: 33 / 33
• Subtask 6: 30 / 30