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답안 #1109091

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1109091 2024-11-06T02:34:39 Z lmToT27 원 고르기 (APIO18_circle_selection) C++17
19 / 100
 539 ms 65720 KB 
        #include <bits/stdc++.h>
#define all(dataStructure) dataStructure.begin(),dataStructure.end()

typedef long long ll;

using namespace std;
namespace std {
        template <typename T, int D>
        struct _vector : public vector <_vector <T, D - 1>> {
                static_assert(D >= 1, "Dimension must be positive!");
                template <typename... Args>
                _vector(int n = 0, Args... args) : vector <_vector <T, D - 1>> (n, _vector <T, D - 1> (args...)) {}
        };
        // _vector <int, 3> a(n, m, k);: int a[n][m][k].
        // _vector <int, 3> a(n, m, k, x);: int a[n][m][k] initialized with x.
        template <typename T>
        struct _vector <T, 1> : public vector <T> {
                _vector(int n = 0, const T& val = T()) : vector <T> (n, val) {}
        };
}

const int MAX = 3e5 + 3;
const ll MOD[] = {1000000007, 998244353};

int n;
int ans[MAX];
ll x[MAX], y[MAX], r[MAX];

ll dist(int i, int j) {
        return (x[i] - x[j]) * (x[i] - x[j]) + (y[i] - y[j]) * (y[i] - y[j]);
}

void bruteForce() {
        while (1) {
                int chosen = 0;
                for (int i = 1; i <= n; i++) if (!ans[i]) {
                        if (r[i] > r[chosen]) chosen = i;
                }
                if (!chosen) break;
                for (int i = 1; i <= n; i++) if (!ans[i]) {
                        if ((r[i] + r[chosen]) * (r[i] + r[chosen]) >= dist(i, chosen)) ans[i] = chosen; 
                }
        }
        for (int i = 1; i <= n; i++) cout << ans[i] << ' ';
}

template <typename dataType>
inline void compress(vector <dataType> &x) {
        sort(all(x));
        x.erase(unique(all(x)), x.end());
}

vector <int> f[2][MAX];
int st[2][MAX << 2];

bool cmp0(int i, int j) {
        return r[i] - x[i] < r[j] - x[j];
}

bool cmp1(int i, int j) {
        return r[i] + x[i] < r[j] + x[j];
}

int choose(int type, int i, int j) {
        if (i == 0) return j;
        if (j == 0) return i;
        if (type == 0) return r[i] - x[i] > r[j] - x[j] ? i : j;
        return r[i] + x[i] > r[j] + x[j] ? i : j;
}

void build(int id, int l, int r) {
        if (l == r) {
                for (int type = 0; type <= 1; type++) {
                        st[type][id] = f[type][l].empty() ? 0 : f[type][l].back();
                }
        } else {
                int mid = (l + r) / 2;
                build(id << 1, l, mid);
                build(id << 1 | 1, mid + 1, r);
                for (int type = 0; type <= 1; type++) st[type][id] = choose(type, st[type][id << 1], st[type][id << 1 | 1]);
        }
}

int get(int type, int u, int v, int id = 1, int l = 1, int r = n) {
        if (u > v || v < l || r < u) return 0;
        if (u <= l && r <= v) return st[type][id];
        int mid = (l + r) / 2;
        return choose(type, get(type, u, v, id << 1, l, mid), get(type, u, v, id << 1 | 1, mid + 1, r));
}

void del(int type, int pos, int id = 1, int l = 1, int r = n) {
        if (l == r) {
                f[type][l].pop_back();
                st[type][id] = f[type][l].empty() ? 0 : f[type][l].back();
        } else {
                int mid = (l + r) / 2;
                if (pos <= mid) del(type, pos, id << 1, l, mid);
                else del(type, pos, id << 1 | 1, mid + 1, r);
                st[type][id] = choose(type, st[type][id << 1], st[type][id << 1 | 1]);
        }
}

void Solve() {
        cin >> n;
        for (int i = 1; i <= n; i++) cin >> x[i] >> y[i] >> r[i];
        if (n <= 5000) return bruteForce();
        
        vector <ll> valX;
        for (int i = 1; i <= n; i++) valX.push_back(x[i]);
        compress(valX);

        for (int i = 1; i <= n; i++) {
                int id = lower_bound(all(valX), x[i]) - valX.begin() + 1;
                f[0][id].push_back(i);
                f[1][id].push_back(i);
        }

        for (int x = 1; x <= n; x++) {
                sort(all(f[0][x]), cmp0);
                sort(all(f[1][x]), cmp1);
        }

        build(1, 1, n);

        vector <int> idx(n);
        iota(all(idx), 1);
        sort(all(idx), [&](const int &i, const int &j) {
                if (r[i] != r[j]) return r[i] > r[j];
                return i < j;
        });

        for (int &i : idx) {
                if (ans[i]) continue;
                int id = lower_bound(all(valX), x[i]) - valX.begin() + 1;

                while (1) {
                        int chosen = get(1, 1, id);
                        if (x[i] - x[chosen] > r[i] + r[chosen]) break;
                        if (!ans[chosen]) ans[chosen] = i; 
                        if (chosen) {
                                int pos = lower_bound(all(valX), x[chosen]) - valX.begin() + 1;
                                del(1, pos);
                        }
                        else break;
                }

                while (1) {
                        int chosen = get(0, id, n);
                        if (x[chosen] - x[i] > r[i] + r[chosen]) break;
                        if (!ans[chosen]) ans[chosen] = i; 
                        if (chosen) {
                                int pos = lower_bound(all(valX), x[chosen]) - valX.begin() + 1;
                                del(0, pos);
                        }
                        else break;
                }
        }

        for (int i = 1; i <= n; i++) cout << ans[i] << ' ';
}

int32_t main() {
        std::ios_base::sync_with_stdio(0);
        std::cin.tie(0); std::cout.tie(0);

        #define TASK "CC"
        if (fopen(TASK".INP", "r")) {
                freopen(TASK".INP", "r", stdin);
                freopen(TASK".OUT", "w", stdout);
        }
        
        if (fopen("TASK.INP", "r")) {
                freopen("TASK.INP", "r", stdin);
                freopen("TASK.OUT", "w", stdout);
        }
        
        /* int TEST = 1; cin >> TEST; while (TEST--) */ Solve();

        cerr << "\nTime elapsed: " << 1.0 * clock() / CLOCKS_PER_SEC << "s\n";
        return 0;
}

Compilation message

circle_selection.cpp: In function 'int32_t main()':
circle_selection.cpp:168:24: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  168 |                 freopen(TASK".INP", "r", stdin);
      |                 ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
circle_selection.cpp:169:24: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  169 |                 freopen(TASK".OUT", "w", stdout);
      |                 ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
circle_selection.cpp:173:24: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  173 |                 freopen("TASK.INP", "r", stdin);
      |                 ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
circle_selection.cpp:174:24: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  174 |                 freopen("TASK.OUT", "w", stdout);
      |                 ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
7.0 / 7.0

# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 20816 KB Output is correct
2 Correct 5 ms 21072 KB Output is correct
3 Correct 4 ms 20816 KB Output is correct
4 Correct 4 ms 20816 KB Output is correct
5 Correct 4 ms 20816 KB Output is correct
6 Correct 4 ms 20816 KB Output is correct
7 Correct 4 ms 20940 KB Output is correct
8 Correct 5 ms 20816 KB Output is correct
9 Correct 4 ms 20816 KB Output is correct
10 Correct 4 ms 20984 KB Output is correct
11 Correct 4 ms 20816 KB Output is correct
12 Correct 3 ms 20940 KB Output is correct
13 Correct 4 ms 20816 KB Output is correct
14 Correct 4 ms 20816 KB Output is correct
15 Correct 4 ms 20816 KB Output is correct
16 Correct 4 ms 20816 KB Output is correct
17 Correct 4 ms 20816 KB Output is correct
18 Correct 4 ms 20816 KB Output is correct
19 Correct 5 ms 21072 KB Output is correct
20 Correct 6 ms 21072 KB Output is correct
21 Correct 5 ms 21072 KB Output is correct
22 Correct 80 ms 21084 KB Output is correct
23 Correct 73 ms 21072 KB Output is correct
24 Correct 72 ms 21144 KB Output is correct
25 Correct 73 ms 21072 KB Output is correct
26 Correct 79 ms 21148 KB Output is correct

Subtask #2
12.0 / 12.0

# 결과 실행 시간 메모리 Grader output
1 Correct 513 ms 65240 KB Output is correct
2 Correct 455 ms 64992 KB Output is correct
3 Correct 497 ms 64704 KB Output is correct
4 Correct 532 ms 64872 KB Output is correct
5 Correct 450 ms 56504 KB Output is correct
6 Correct 539 ms 62508 KB Output is correct
7 Correct 437 ms 61624 KB Output is correct
8 Correct 514 ms 62136 KB Output is correct

Subtask #3
0 / 15.0

# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 20992 KB Output is correct
2 Incorrect 155 ms 38108 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #4
0 / 23.0

# 결과 실행 시간 메모리 Grader output
1 Incorrect 451 ms 65720 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #5
0 / 30.0

# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 20816 KB Output is correct
2 Correct 5 ms 21072 KB Output is correct
3 Correct 4 ms 20816 KB Output is correct
4 Correct 4 ms 20816 KB Output is correct
5 Correct 4 ms 20816 KB Output is correct
6 Correct 4 ms 20816 KB Output is correct
7 Correct 4 ms 20940 KB Output is correct
8 Correct 5 ms 20816 KB Output is correct
9 Correct 4 ms 20816 KB Output is correct
10 Correct 4 ms 20984 KB Output is correct
11 Correct 4 ms 20816 KB Output is correct
12 Correct 3 ms 20940 KB Output is correct
13 Correct 4 ms 20816 KB Output is correct
14 Correct 4 ms 20816 KB Output is correct
15 Correct 4 ms 20816 KB Output is correct
16 Correct 4 ms 20816 KB Output is correct
17 Correct 4 ms 20816 KB Output is correct
18 Correct 4 ms 20816 KB Output is correct
19 Correct 5 ms 21072 KB Output is correct
20 Correct 6 ms 21072 KB Output is correct
21 Correct 5 ms 21072 KB Output is correct
22 Correct 80 ms 21084 KB Output is correct
23 Correct 73 ms 21072 KB Output is correct
24 Correct 72 ms 21144 KB Output is correct
25 Correct 73 ms 21072 KB Output is correct
26 Correct 79 ms 21148 KB Output is correct
27 Incorrect 13 ms 24144 KB Output isn't correct
28 Halted 0 ms 0 KB -

Subtask #6
0 / 13.0

# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 20816 KB Output is correct
2 Correct 5 ms 21072 KB Output is correct
3 Correct 4 ms 20816 KB Output is correct
4 Correct 4 ms 20816 KB Output is correct
5 Correct 4 ms 20816 KB Output is correct
6 Correct 4 ms 20816 KB Output is correct
7 Correct 4 ms 20940 KB Output is correct
8 Correct 5 ms 20816 KB Output is correct
9 Correct 4 ms 20816 KB Output is correct
10 Correct 4 ms 20984 KB Output is correct
11 Correct 4 ms 20816 KB Output is correct
12 Correct 3 ms 20940 KB Output is correct
13 Correct 4 ms 20816 KB Output is correct
14 Correct 4 ms 20816 KB Output is correct
15 Correct 4 ms 20816 KB Output is correct
16 Correct 4 ms 20816 KB Output is correct
17 Correct 4 ms 20816 KB Output is correct
18 Correct 4 ms 20816 KB Output is correct
19 Correct 5 ms 21072 KB Output is correct
20 Correct 6 ms 21072 KB Output is correct
21 Correct 5 ms 21072 KB Output is correct
22 Correct 80 ms 21084 KB Output is correct
23 Correct 73 ms 21072 KB Output is correct
24 Correct 72 ms 21144 KB Output is correct
25 Correct 73 ms 21072 KB Output is correct
26 Correct 79 ms 21148 KB Output is correct
27 Correct 513 ms 65240 KB Output is correct
28 Correct 455 ms 64992 KB Output is correct
29 Correct 497 ms 64704 KB Output is correct
30 Correct 532 ms 64872 KB Output is correct
31 Correct 450 ms 56504 KB Output is correct
32 Correct 539 ms 62508 KB Output is correct
33 Correct 437 ms 61624 KB Output is correct
34 Correct 514 ms 62136 KB Output is correct
35 Correct 4 ms 20992 KB Output is correct
36 Incorrect 155 ms 38108 KB Output isn't correct
37 Halted 0 ms 0 KB -