oj.uz

Submission #375984

# Submission time Handle Problem Language Result Execution time Memory
375984 2021-03-10T13:30:21 Z usachevd0 Circle selection (APIO18_circle_selection) C++14
100 / 100
 1431 ms 46596 KB 
#include <bits/stdc++.h>

using namespace std;

#define fi first
#define se second
#define mp make_pair
#define pb push_back
#define all(a) (a).begin(), (a).end()
using ll = long long;
using ull = unsigned long long;
using pii = pair<int, int>;
using pil = pair<int, ll>;
using pli = pair<ll, int>;
using pll = pair<ll, ll>;
using ld = long double;
template<typename T1, typename T2> bool chkmin(T1 &x, T2 y) { return y < x ? (x = y, true) : false; }
template<typename T1, typename T2> bool chkmax(T1 &x, T2 y) { return y > x ? (x = y, true) : false; }
void debug_out() { cerr << endl; }
template<typename T1, typename... T2> void debug_out(T1 A, T2... B) { cerr << ' ' << A; debug_out(B...); }
template<typename T> void mdebug_out(T* a, int n) { for (int i = 0; i < n; ++i) cerr << a[i] << ' '; cerr << endl; }
#ifdef DEBUG
    #define debug(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)
    #define mdebug(a, n) cerr << #a << ": ", mdebug_out(a, n)
#else
    #define debug(...) 1337
    #define mdebug(a, n) 1337
#endif
template<typename T> ostream& operator << (ostream& stream, const vector<T> &a) { for (auto &x : a) stream << x; return stream; }
template<typename T1, typename T2> ostream& operator << (ostream& stream, const pair<T1, T2>& a) { return stream << a.fi << ' ' << a.se; }

const int INF32 = 0x3f3f3f3f;
const int maxC = 1e9 + 7;
const int N = 300005;
int n;

ll Floor(ll a, ll b);
ll Ceil(ll a, ll b);
ll Floor(ll a, ll b)
{
    if (b < 0) a = -a, b = -b;
    if (a < 0) return -Ceil(-a, b);
    return a / b;
}
ll Ceil(ll a, ll b)
{
    if (b < 0) a = -a, b = -b;
    if (a < 0) return -Floor(-a, b);
    return a / b + (a % b != 0);
}

struct Circle
{
    int x, y, r;
};
ll sqr(ll x) { return x * x; }
bool intersect(Circle lhs, Circle rhs)
{
    return sqr(lhs.x - rhs.x) + sqr(lhs.y - rhs.y) <= sqr(lhs.r + rhs.r);
}

Circle C[N];
int ord[N], who[N];

int R;
unordered_map<ll, int> compr;
int vtx;
vector<int> grid[N];
int gt(int x, int y, bool bad = false)
{
    x += maxC;
    y += maxC;
    ll key = x * (ll)(2 * maxC) + y;
    if (compr.find(key) == compr.end())
    {
        if (bad) return -1;
        compr.insert(mp(key, vtx));
        return vtx++;
    }
    return compr[key];
}

void Slice(int newR)
{
    compr.clear();
    for (int g = 0; g < vtx; ++g)
        grid[g].clear();
    vtx = 0;

    R = newR;
    for (int i = 1; i <= n; ++i) if (!who[i])
    {
        int x = Floor(C[i].x, R);
        int y = Floor(C[i].y, R);
        int g = gt(x, y);
        grid[g].push_back(i);
    }
}

signed main()
{
#ifdef DEBUG
    freopen("in", "r", stdin);
#endif
    ios::sync_with_stdio(0);
    cin.tie(0);

    cin >> n;
    for (int i = 1; i <= n; ++i)
    {
        cin >> C[i].x >> C[i].y >> C[i].r;
    }
    iota(ord, ord + n, 1);
    sort(ord, ord + n, [&](int i, int j) -> bool
    {
        if (C[i].r != C[j].r)
            return C[i].r > C[j].r;
        return i < j;
    });
    R = 2 * INF32;
    for (int t = 0; t < n; ++t)
    {
        int i = ord[t];
        if (who[i]) continue;
        if (C[i].r * 2 <= R) Slice(C[i].r);
        int X = Floor(C[i].x, R);
        int Y = Floor(C[i].y, R);
        for (int x = X - 2; x <= X + 2; ++x)
            for (int y = Y - 2; y <= Y + 2; ++y)
            {
                int g = gt(x, y, true);
                if (g == -1) continue;
                vector<int> new_grid;
                for (int j : grid[g])
                {
                    if (!who[j] && intersect(C[i], C[j]))
                        who[j] = i;
                    else
                        new_grid.push_back(j);
                }
                swap(grid[g], new_grid);
            }
    }
    for (int i = 1; i <= n; ++i)
        cout << who[i] << ' ';
    cout << '\n';

    return 0;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 7404 KB Output is correct
2 Correct 5 ms 7404 KB Output is correct
3 Correct 5 ms 7404 KB Output is correct
4 Correct 5 ms 7404 KB Output is correct
5 Correct 5 ms 7404 KB Output is correct
6 Correct 6 ms 7404 KB Output is correct
7 Correct 5 ms 7404 KB Output is correct
8 Correct 6 ms 7404 KB Output is correct
9 Correct 5 ms 7404 KB Output is correct
10 Correct 5 ms 7404 KB Output is correct
11 Correct 5 ms 7404 KB Output is correct
12 Correct 5 ms 7404 KB Output is correct
13 Correct 6 ms 7404 KB Output is correct
14 Correct 5 ms 7404 KB Output is correct
15 Correct 7 ms 7404 KB Output is correct
16 Correct 8 ms 7404 KB Output is correct
17 Correct 6 ms 7424 KB Output is correct
18 Correct 5 ms 7404 KB Output is correct
19 Correct 11 ms 7788 KB Output is correct
20 Correct 11 ms 7788 KB Output is correct
21 Correct 11 ms 7660 KB Output is correct
22 Correct 15 ms 8044 KB Output is correct
23 Correct 15 ms 8044 KB Output is correct
24 Correct 14 ms 8044 KB Output is correct
25 Correct 15 ms 8044 KB Output is correct
26 Correct 14 ms 8044 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 198 ms 22336 KB Output is correct
2 Correct 204 ms 22236 KB Output is correct
3 Correct 195 ms 22340 KB Output is correct
4 Correct 187 ms 22272 KB Output is correct
5 Correct 213 ms 22124 KB Output is correct
6 Correct 649 ms 31284 KB Output is correct
7 Correct 253 ms 23276 KB Output is correct
8 Correct 300 ms 24696 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 7404 KB Output is correct
2 Correct 352 ms 20044 KB Output is correct
3 Correct 1425 ms 46448 KB Output is correct
4 Correct 1388 ms 46304 KB Output is correct
5 Correct 1308 ms 40520 KB Output is correct
6 Correct 451 ms 23952 KB Output is correct
7 Correct 169 ms 16656 KB Output is correct
8 Correct 31 ms 9324 KB Output is correct
9 Correct 1431 ms 45732 KB Output is correct
10 Correct 1124 ms 39988 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1293 ms 46172 KB Output is correct
2 Correct 1262 ms 45272 KB Output is correct
3 Correct 381 ms 30224 KB Output is correct
4 Correct 1266 ms 45660 KB Output is correct
5 Correct 1326 ms 46084 KB Output is correct
6 Correct 232 ms 26348 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 7404 KB Output is correct
2 Correct 5 ms 7404 KB Output is correct
3 Correct 5 ms 7404 KB Output is correct
4 Correct 5 ms 7404 KB Output is correct
5 Correct 5 ms 7404 KB Output is correct
6 Correct 6 ms 7404 KB Output is correct
7 Correct 5 ms 7404 KB Output is correct
8 Correct 6 ms 7404 KB Output is correct
9 Correct 5 ms 7404 KB Output is correct
10 Correct 5 ms 7404 KB Output is correct
11 Correct 5 ms 7404 KB Output is correct
12 Correct 5 ms 7404 KB Output is correct
13 Correct 6 ms 7404 KB Output is correct
14 Correct 5 ms 7404 KB Output is correct
15 Correct 7 ms 7404 KB Output is correct
16 Correct 8 ms 7404 KB Output is correct
17 Correct 6 ms 7424 KB Output is correct
18 Correct 5 ms 7404 KB Output is correct
19 Correct 11 ms 7788 KB Output is correct
20 Correct 11 ms 7788 KB Output is correct
21 Correct 11 ms 7660 KB Output is correct
22 Correct 15 ms 8044 KB Output is correct
23 Correct 15 ms 8044 KB Output is correct
24 Correct 14 ms 8044 KB Output is correct
25 Correct 15 ms 8044 KB Output is correct
26 Correct 14 ms 8044 KB Output is correct
27 Correct 12 ms 8172 KB Output is correct
28 Correct 11 ms 8044 KB Output is correct
29 Correct 11 ms 8044 KB Output is correct
30 Correct 25 ms 8684 KB Output is correct
31 Correct 25 ms 8684 KB Output is correct
32 Correct 24 ms 8684 KB Output is correct
33 Correct 69 ms 13280 KB Output is correct
34 Correct 71 ms 13360 KB Output is correct
35 Correct 73 ms 13252 KB Output is correct
36 Correct 349 ms 19756 KB Output is correct
37 Correct 383 ms 19784 KB Output is correct
38 Correct 356 ms 19984 KB Output is correct
39 Correct 321 ms 18072 KB Output is correct
40 Correct 319 ms 17912 KB Output is correct
41 Correct 327 ms 17792 KB Output is correct
42 Correct 197 ms 18832 KB Output is correct
43 Correct 315 ms 19728 KB Output is correct
44 Correct 321 ms 19728 KB Output is correct
45 Correct 306 ms 19728 KB Output is correct
46 Correct 311 ms 19728 KB Output is correct
47 Correct 305 ms 19728 KB Output is correct
48 Correct 316 ms 19728 KB Output is correct
49 Correct 318 ms 19728 KB Output is correct
50 Correct 321 ms 19728 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 7404 KB Output is correct
2 Correct 5 ms 7404 KB Output is correct
3 Correct 5 ms 7404 KB Output is correct
4 Correct 5 ms 7404 KB Output is correct
5 Correct 5 ms 7404 KB Output is correct
6 Correct 6 ms 7404 KB Output is correct
7 Correct 5 ms 7404 KB Output is correct
8 Correct 6 ms 7404 KB Output is correct
9 Correct 5 ms 7404 KB Output is correct
10 Correct 5 ms 7404 KB Output is correct
11 Correct 5 ms 7404 KB Output is correct
12 Correct 5 ms 7404 KB Output is correct
13 Correct 6 ms 7404 KB Output is correct
14 Correct 5 ms 7404 KB Output is correct
15 Correct 7 ms 7404 KB Output is correct
16 Correct 8 ms 7404 KB Output is correct
17 Correct 6 ms 7424 KB Output is correct
18 Correct 5 ms 7404 KB Output is correct
19 Correct 11 ms 7788 KB Output is correct
20 Correct 11 ms 7788 KB Output is correct
21 Correct 11 ms 7660 KB Output is correct
22 Correct 15 ms 8044 KB Output is correct
23 Correct 15 ms 8044 KB Output is correct
24 Correct 14 ms 8044 KB Output is correct
25 Correct 15 ms 8044 KB Output is correct
26 Correct 14 ms 8044 KB Output is correct
27 Correct 198 ms 22336 KB Output is correct
28 Correct 204 ms 22236 KB Output is correct
29 Correct 195 ms 22340 KB Output is correct
30 Correct 187 ms 22272 KB Output is correct
31 Correct 213 ms 22124 KB Output is correct
32 Correct 649 ms 31284 KB Output is correct
33 Correct 253 ms 23276 KB Output is correct
34 Correct 300 ms 24696 KB Output is correct
35 Correct 5 ms 7404 KB Output is correct
36 Correct 352 ms 20044 KB Output is correct
37 Correct 1425 ms 46448 KB Output is correct
38 Correct 1388 ms 46304 KB Output is correct
39 Correct 1308 ms 40520 KB Output is correct
40 Correct 451 ms 23952 KB Output is correct
41 Correct 169 ms 16656 KB Output is correct
42 Correct 31 ms 9324 KB Output is correct
43 Correct 1431 ms 45732 KB Output is correct
44 Correct 1124 ms 39988 KB Output is correct
45 Correct 1293 ms 46172 KB Output is correct
46 Correct 1262 ms 45272 KB Output is correct
47 Correct 381 ms 30224 KB Output is correct
48 Correct 1266 ms 45660 KB Output is correct
49 Correct 1326 ms 46084 KB Output is correct
50 Correct 232 ms 26348 KB Output is correct
51 Correct 12 ms 8172 KB Output is correct
52 Correct 11 ms 8044 KB Output is correct
53 Correct 11 ms 8044 KB Output is correct
54 Correct 25 ms 8684 KB Output is correct
55 Correct 25 ms 8684 KB Output is correct
56 Correct 24 ms 8684 KB Output is correct
57 Correct 69 ms 13280 KB Output is correct
58 Correct 71 ms 13360 KB Output is correct
59 Correct 73 ms 13252 KB Output is correct
60 Correct 349 ms 19756 KB Output is correct
61 Correct 383 ms 19784 KB Output is correct
62 Correct 356 ms 19984 KB Output is correct
63 Correct 321 ms 18072 KB Output is correct
64 Correct 319 ms 17912 KB Output is correct
65 Correct 327 ms 17792 KB Output is correct
66 Correct 197 ms 18832 KB Output is correct
67 Correct 315 ms 19728 KB Output is correct
68 Correct 321 ms 19728 KB Output is correct
69 Correct 306 ms 19728 KB Output is correct
70 Correct 311 ms 19728 KB Output is correct
71 Correct 305 ms 19728 KB Output is correct
72 Correct 316 ms 19728 KB Output is correct
73 Correct 318 ms 19728 KB Output is correct
74 Correct 321 ms 19728 KB Output is correct
75 Correct 219 ms 25000 KB Output is correct
76 Correct 207 ms 24440 KB Output is correct
77 Correct 201 ms 24512 KB Output is correct
78 Correct 203 ms 24516 KB Output is correct
79 Correct 242 ms 26208 KB Output is correct
80 Correct 201 ms 24284 KB Output is correct
81 Correct 1368 ms 46300 KB Output is correct
82 Correct 1379 ms 46160 KB Output is correct
83 Correct 1351 ms 45960 KB Output is correct
84 Correct 1340 ms 46596 KB Output is correct
85 Correct 1350 ms 46044 KB Output is correct
86 Correct 1365 ms 46172 KB Output is correct
87 Correct 1334 ms 46140 KB Output is correct
88 Correct 1103 ms 39820 KB Output is correct
89 Correct 1088 ms 40544 KB Output is correct
90 Correct 1107 ms 39908 KB Output is correct
91 Correct 1084 ms 39900 KB Output is correct
92 Correct 1094 ms 40020 KB Output is correct
93 Correct 1253 ms 45104 KB Output is correct
94 Correct 1274 ms 45460 KB Output is correct
95 Correct 1253 ms 45008 KB Output is correct
96 Correct 1272 ms 45116 KB Output is correct
97 Correct 1203 ms 45020 KB Output is correct
98 Correct 810 ms 36640 KB Output is correct
99 Correct 1304 ms 45276 KB Output is correct
100 Correct 1220 ms 45020 KB Output is correct
101 Correct 1076 ms 39476 KB Output is correct
102 Correct 1272 ms 44820 KB Output is correct
103 Correct 1239 ms 44892 KB Output is correct
104 Correct 1293 ms 45020 KB Output is correct
105 Correct 788 ms 42980 KB Output is correct
106 Correct 1070 ms 44724 KB Output is correct
107 Correct 1054 ms 44732 KB Output is correct
108 Correct 1095 ms 44756 KB Output is correct
109 Correct 1172 ms 44656 KB Output is correct
110 Correct 1070 ms 44880 KB Output is correct
111 Correct 1049 ms 44764 KB Output is correct
112 Correct 1199 ms 44892 KB Output is correct
113 Correct 1043 ms 44636 KB Output is correct
114 Correct 927 ms 44680 KB Output is correct
115 Correct 1033 ms 44764 KB Output is correct
116 Correct 1034 ms 44860 KB Output is correct