Submission #1215697

#	Time	Username	Problem	Language	Result	Execution time	Memory
1215697		jasonic	Rectangles (IOI19_rect)	C++20	10 / 100	4741 ms	639316 KiB

rect

#include <bits/stdc++.h>
using namespace std;

#define ll long long
#define fastIO cin.tie(0); ios::sync_with_stdio(false)

struct ST{
    int l, r;
    ST *lt, *rt;
    int mx;

    void comb() {
        mx = max(lt->mx, rt->mx);
    }

    ST(int bl, int br, vector<int> &a) {
        lt = rt = nullptr;
        l = bl, r = br;

        if(l == r) {
            mx = a[l];
        } else {
            int m = (l+r)/2;
            lt = new ST(l, m, a);
            rt = new ST(m+1, r, a);
            comb();
        }
    }

    int qry(int ql, int qr) {
        if(qr < l || r < ql) return -1;
        if(ql <= l && r <= qr) return mx;
        else return max(lt->qry(ql, qr), rt->qry(ql, qr));
    }
};

struct Bounds{
    int x1, x2, y1, y2;

    Bounds(int a, int b, int c, int d): x1(a), x2(b), y1(c), y2(d) {};
};

ll count_rectangles(vector<vector<int>> arr) {
    int r = size(arr);
    int c = size(arr[0]);

    vector<vector<int>> rotatedArr(c, vector<int>(r, 0));
    for(int i = 0; i < r; i++) {
        for(int j = 0; j < c; j++) {
            rotatedArr[j][i] = arr[i][j];
        }
    }
    
    vector<vector<int>> maxUp(r, vector<int>(c, -1));
    vector<vector<int>> maxDown(r, vector<int>(c, -1));
    vector<vector<int>> maxLeft(r, vector<int>(c, -1));
    vector<vector<int>> maxRight(r, vector<int>(c, -1));

    vector<Bounds> valid;

    for(int y = 1; y < r-1; y++) {
        for(int x = 1; x < c-1; x++) {
            int xl = x-1, xr = x+1;
            int yu = y-1, yd = y+1;

            for(; xl >= 0; xl--) if(arr[y][xl] > arr[y][x]) break;
            for(; xr < c; xr++) if(arr[y][xr] > arr[y][x]) break;
            for(; yu >= 0; yu--) if(arr[yu][x] > arr[y][x]) break;
            for(; yd < r; yd++) if(arr[yd][x] > arr[y][x]) break;

            if(yu >= 0 && yd < r && xl >= 0 && xr < c) {
                valid.push_back(Bounds(xl+1, xr-1, yu+1, yd-1));
            }
        }
    }

    vector<ST> rows, cols;
    for(int i = 0; i < r; i++) {
        rows.push_back(ST(0, c-1, arr[i]));
    }

    for(int i = 0; i < c; i++) {
        cols.push_back(ST(0, r-1, rotatedArr[i]));
    }

    ll ans = 0;

    for(Bounds i : valid) {
        bool validRect = true;

        int xl = i.x1;
        int xr = i.x2;
        int yl = i.y1;
        int yr = i.y2;

        for(int x = xl; x <= xr; x++) {
            validRect &= min(arr[yl-1][x], arr[yr+1][x]) > cols[x].qry(yl, yr);
        }
        
        for(int y = yl; y <= yr; y++) {
            validRect &= min(arr[y][xl-1], arr[y][xr+1]) > rows[y].qry(xl, xr);
        }

        ans += validRect;
    }

    return ans;
}

• Subtask 1: 0 / 8
• Subtask 2: 0 / 7
• Subtask 3: 0 / 12
• Subtask 4: 0 / 22
• Subtask 5: 10 / 10
• Subtask 6: 0 / 13
• Subtask 7: 0 / 28