oj.uz

Submission #534508

# Submission time Handle Problem Language Result Execution time Memory
534508 2022-03-08T08:22:55 Z huB1erTi2 Park (BOI16_park) C++17
100 / 100
 1460 ms 1788 KB 
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#include <iostream>
#include <numeric>
#include <cmath>
#include <vector>

using namespace std;

// #define DEBUG
#ifdef DEBUG
#define dassert(x) assert(x);
#define df(...) printf(__VA_ARGS__)
#else
#define dassert(x)
#define df(...)
#endif

#define x first
#define y second
#define mp make_pair
#define pb push_back
#define ir(x, a, b) ((a) <= (x) && (x) <= (b))
#define vec vector
#define sz(x) (ll)x.size()
#define foru(i, n) for (int i = 0; (i) < (n); ++(i))
#define all(x) (x).begin(), (x).end()

typedef int64_t ll;

int read() {
    int n = 0; bool b = 0; char c = getchar();
    for (; !ir(c, '0', '9'); c = getchar()) b = (c == '-');
    for (; ir(c, '0', '9'); c = getchar()) n = 10*n + (c-'0');
    if (b) return -n;
    return n;
}

struct circle {
    ll x, y, r;
};

struct dsu {
    int n;
    vec<int> over, rank;
    dsu(int n) : n(n), over(n), rank(n) {
        iota(all(over), 0);
    }
    
    int find(int x) {
        if (over[x] == x) return x;
        return over[x] = find(over[x]);
    }
    
    void unify(int x, int y) {
        if ((x = find(x)) == (y = find(y))) return;
        if (rank[x] < rank[y]) swap(x, y);
        over[y] = x;
        if (rank[x] == rank[y]) ++rank[x];
    }
};

ll ss(ll x) {
    return x*x;
}

bool canplace(const vec<circle>& cs, circle c) {
    for (auto cc : cs) {
        if (ss(cc.x-c.x) + ss(cc.y-c.y) < ss(cc.r + c.r)) return 0;
    }
    return 1;
}

bool check(vec<circle> cs, ll fit, int from, int to, ll w, ll h) {
    int n = cs.size();
    dsu d(n+4);
    for (int i = 0; i < n; ++i) {
        ll x = cs[i].x, y = cs[i].y, r = cs[i].r;
        if (x < fit + r) d.unify(i, n);
        if (w-x < fit + r) d.unify(i, n+1);
        if (y < fit + r) d.unify(i, n+2);
        if (h-y < fit + r) d.unify(i, n+3);
    }
    
    for (int i = 0; i < n; ++i) {
        for (int j = 0; j < i; ++j) {
            ll width = fit + cs[i].r + cs[j].r;
            ll d2 = ss(cs[i].x - cs[j].x) + ss(cs[i].y - cs[j].y);
            if (d2 < ss(width)) {
                d.unify(i, j);
            }
        }
    }
    
    if (to < from) swap(to, from);
    --to, --from;
    //               1    2    3    4
    vec<int> cool = {n+2, n+1, n+3, n};
    vec<int> sidea, sideb;
    for (int i = 0; i < 4; ++i) {
        if (from <= i && i < to) sidea.pb(cool[i]);
        else sideb.pb(cool[i]);
    }
    // for (auto a : sidea) {
    //     cout << a << " ";
    // }
    // cout << "\n";
    // for (auto b : sideb) {
    //     cout << b << " ";
    // }
    // cout << "\n";
    // for (int i = 0; i < 4; ++i) {
    //     for (int j = 0; j < 4; ++j) {
    //         cout << ((d.find(n+i) == d.find(n+j)) ? '1' : '0') << ' ';
    //     }
    //     cout << "\n";
    // }
    for (auto a : sidea) {
        for (auto b : sideb) {
            if (d.find(a) == d.find(b)) return 0;
        }
    }
    // cout << "\n";
    return 1;
}

ll search(const vec<circle>& cs, int from, int to, ll w, ll h) {
    ll lo = 1, hi = min(w,h)/2+10;
    while (lo+1 < hi) {
        ll mid = (lo+hi)/2;
        if (check(cs, 2*mid, from, to, w, h)) {
            lo = mid;
        } else {
            hi = mid;
        }
    }
    return lo;
}

int main() {
    df("debug mode\n");
#ifndef DEBUG
    ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
#endif
    int n, m;
    ll w, h;
    cin >> n >> m >> w >> h;
    vec<circle> cs(n);
    foru (i, n) {
        ll x, y, r;
        cin >> x >> y >> r;
        cs[i] = {x, y, r};
    }
    int best[5][5];
    for (int i = 1; i <= 4; ++i) {
        for (int j = i+1; j <= 4; ++j) {
            best[i][j] = best[j][i] = search(cs, i, j, w, h);
        }
    }
    // for (int i = 1; i <= 4; ++i) {
    //     for (int j = 1; j <= 4; ++j) {
    //         cout << best[i][j] << " ";
    //     }
    //     cout << endl;
    // }
    foru (i, m) {
        int no, r;
        cin >> r >> no;
        // cout << no << " " << r << endl;
        for (int i = 1; i <= 4; ++i) {
            if (i == no || r <= best[no][i]) {
                cout << i;
            }
        }
        cout << "\n";
    }
    return 0;
}

Subtask #1
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 853 ms 460 KB Output is correct
2 Correct 822 ms 460 KB Output is correct
3 Correct 841 ms 452 KB Output is correct
4 Correct 875 ms 460 KB Output is correct
5 Correct 837 ms 460 KB Output is correct
6 Correct 851 ms 456 KB Output is correct
7 Correct 1460 ms 460 KB Output is correct
8 Correct 1406 ms 460 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct

Subtask #2
31.0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 55 ms 1636 KB Output is correct
2 Correct 44 ms 1584 KB Output is correct
3 Correct 37 ms 1584 KB Output is correct
4 Correct 47 ms 1724 KB Output is correct
5 Correct 54 ms 1668 KB Output is correct
6 Correct 52 ms 1728 KB Output is correct
7 Correct 35 ms 1748 KB Output is correct
8 Correct 31 ms 1668 KB Output is correct

Subtask #3
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 853 ms 460 KB Output is correct
2 Correct 822 ms 460 KB Output is correct
3 Correct 841 ms 452 KB Output is correct
4 Correct 875 ms 460 KB Output is correct
5 Correct 837 ms 460 KB Output is correct
6 Correct 851 ms 456 KB Output is correct
7 Correct 1460 ms 460 KB Output is correct
8 Correct 1406 ms 460 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 55 ms 1636 KB Output is correct
12 Correct 44 ms 1584 KB Output is correct
13 Correct 37 ms 1584 KB Output is correct
14 Correct 47 ms 1724 KB Output is correct
15 Correct 54 ms 1668 KB Output is correct
16 Correct 52 ms 1728 KB Output is correct
17 Correct 35 ms 1748 KB Output is correct
18 Correct 31 ms 1668 KB Output is correct
19 Correct 832 ms 1788 KB Output is correct
20 Correct 779 ms 1660 KB Output is correct
21 Correct 864 ms 1788 KB Output is correct
22 Correct 772 ms 1664 KB Output is correct
23 Correct 867 ms 1664 KB Output is correct
24 Correct 1348 ms 1788 KB Output is correct