oj.uz

Submission #1054853

# Submission time Handle Problem Language Result Execution time Memory
1054853 2024-08-12T12:38:29 Z Zicrus Fountain Parks (IOI21_parks) C++17
15 / 100
 3500 ms 96660 KB 
#include <bits/stdc++.h>
#include "parks.h"
using namespace std;
 
typedef long long ll;
 
ll n;
 
vector<ll> lnk;
vector<ll> sz;
 
ll find(ll a) {
    if (a != lnk[a]) lnk[a] = find(lnk[a]);
    return lnk[a];
}
 
bool unite(ll a, ll b) {
    a = find(a); b = find(b);
    if (a == b) return false;
    if (sz[a] > sz[b]) swap(a, b);
    lnk[a] = b;
    sz[b] += sz[a];
    return true;
}
 
int construct_roads(vector<int> x, vector<int> y) {
    n = x.size();
    mt19937 mt(743);
    vector<pair<pair<ll, ll>, ll>> coords(n);
    for (int i = 0; i < n; i++) coords[i] = {{x[i], y[i]}, i};
    shuffle(coords.begin(), coords.end(), mt);
    for (int i = 0; i < n; i++) {
        x[i] = coords[i].first.first;
        y[i] = coords[i].first.second;
    }
    lnk = vector<ll>(n);
    sz = vector<ll>(n, 1);
    for (int i = 0; i < n; i++) lnk[i] = i;
    unordered_map<ll, ll> pts;
    vector<pair<ll, ll>> edges;
    unordered_set<ll> hasEdge;
    for (int i = 0; i < n; i++) {
        ll hash = ((ll)x[i] << 31) | (ll)y[i];
        pts[hash] = i;
    }
    for (ll i = 0; i < n; i++) {
        ll hashL = (((ll)x[i]-2) << 31) | ((ll)y[i]);
        if (pts.count(hashL)) {
            ll hash = (min(i, pts[hashL]) << 31) | max(i, pts[hashL]);
            if (!hasEdge.count(hash)) {
                edges.push_back({i, pts[hashL]});
                hasEdge.insert(hash);
            }
        }
        ll hashR = (((ll)x[i]+2) << 31) | ((ll)y[i]);
        if (pts.count(hashR)) {
            ll hash = (min(i, pts[hashR]) << 31) | max(i, pts[hashR]);
            if (!hasEdge.count(hash)) {
                edges.push_back({i, pts[hashR]});
                hasEdge.insert(hash);
            }
        }
        ll hashD = (((ll)x[i]) << 31) | ((ll)y[i]-2);
        if (pts.count(hashD)) {
            ll hash = (min(i, pts[hashD]) << 31) | max(i, pts[hashD]);
            if (!hasEdge.count(hash)) {
                edges.push_back({i, pts[hashD]});
                hasEdge.insert(hash);
            }
        }
        ll hashU = (((ll)x[i]) << 31) | ((ll)y[i]+2);
        if (pts.count(hashU)) {
            ll hash = (min(i, pts[hashU]) << 31) | max(i, pts[hashU]);
            if (!hasEdge.count(hash)) {
                edges.push_back({i, pts[hashU]});
                hasEdge.insert(hash);
            }
        }
    }
 
    unordered_map<ll, ll> poss;
    unordered_map<ll, ll> lnk;
    vector<pair<ll, ll>> edgeHashes(edges.size());
    for (int i = 0; i < edges.size(); i++) {
        auto e = edges[i];
        ll midX = (x[e.first] + x[e.second]) / 2;
        ll midY = (y[e.first] + y[e.second]) / 2;
        ll leftX = midX - (midY - y[e.second]);
        ll leftY = midY + (midX - x[e.second]);
        ll rightX = midX + (midY - y[e.second]);
        ll rightY = midY - (midX - x[e.second]);
        ll hashL = (leftX << 31) | leftY;
        ll hashR = (rightX << 31) | rightY;
        poss[hashL]++;
        poss[hashR]++;
        lnk[hashL] ^= i;
        lnk[hashR] ^= i;
        edgeHashes[i] = {hashL, hashR};
    }
 
    vector<int> a(edges.size()), b(edges.size());
    queue<ll> q;
    for (auto &e : poss) {
        if (e.second != 1) continue;
        q.push(e.first);
    }
    ll cnt = 0;
    unordered_set<ll> used;
    while (cnt < edges.size()) {
        while (!q.empty()) {
            ll hash = q.front(); q.pop();
            if (poss[hash] != 1 || used.count(hash)) continue;
            cnt++;
            ll id = lnk[hash];
            a[id] = hash >> 31;
            b[id] = hash & ~(1 << 31);
            used.insert(id);
            if (--poss[edgeHashes[id].first] == 1) q.push(edgeHashes[id].first);
            if (--poss[edgeHashes[id].second] == 1) q.push(edgeHashes[id].second);
            lnk[edgeHashes[id].first] ^= id;
            lnk[edgeHashes[id].second] ^= id;
        }
        if (cnt < edges.size()) {
            ll v = 0;
            for (auto &e : poss) {
                if (e.second != 2) continue;
                v = e.first;
                break;
            }
            for (int i = 0; i < edges.size(); i++) {
                if (used.count(i)) continue;
                auto e = edges[i];
                ll midX = (x[e.first] + x[e.second]) / 2;
                ll midY = (y[e.first] + y[e.second]) / 2;
                if (abs(midX - (v >> 31)) + abs(midY - (v & ~(1 << 31))) > 1) continue;
                a[i] = v >> 31;
                b[i] = v & ~(1 << 31);
                poss[v] = 0;
                ll otherX = a[i] + 2 * (midX - a[i]);
                ll otherY = b[i] + 2 * (midY - b[i]);
                ll otherHash = (otherX << 31) | otherY;
                poss[otherHash]--;
                lnk[otherHash] ^= i;
                while (poss[otherHash == 1]) {
                    ll edge = lnk[otherHash];
                    auto e = edges[edge];
                    ll midX = (x[e.first] + x[e.second]) / 2;
                    ll midY = (y[e.first] + y[e.second]) / 2;
                    a[edge] = otherHash >> 31;
                    b[edge] = otherHash & ~(1 << 31);
                    poss[v] = 0;
                    ll otherX = a[edge] + 2 * (midX - a[edge]);
                    ll otherY = b[edge] + 2 * (midY - b[edge]);
                    otherHash = (otherX << 31) | otherY;
                    poss[otherHash]--;
                    lnk[otherHash] ^= edge;
                    cnt++;
                    used.insert(edge);
                }
                cnt++;
                used.insert(i);
                break;
            }
        }
    }
 
    vector<int> u, v;
    for (int i = 0; i < edges.size(); i++) {
        u.push_back(coords[edges[i].first].second);
        v.push_back(coords[edges[i].second].second);
        unite(edges[i].first, edges[i].second);
    }
 
    if (sz[find(0)] < n) return 0;
 
    build(u, v, a, b);
    return 1;
}

Compilation message

parks.cpp: In function 'int construct_roads(std::vector<int>, std::vector<int>)':
parks.cpp:84:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   84 |     for (int i = 0; i < edges.size(); i++) {
      |                     ~~^~~~~~~~~~~~~~
parks.cpp:109:16: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  109 |     while (cnt < edges.size()) {
      |            ~~~~^~~~~~~~~~~~~~
parks.cpp:123:17: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  123 |         if (cnt < edges.size()) {
      |             ~~~~^~~~~~~~~~~~~~
parks.cpp:130:31: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  130 |             for (int i = 0; i < edges.size(); i++) {
      |                             ~~^~~~~~~~~~~~~~
parks.cpp:168:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  168 |     for (int i = 0; i < edges.size(); i++) {
      |                     ~~^~~~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 154 ms 46628 KB Output is correct
10 Correct 11 ms 4564 KB Output is correct
11 Correct 70 ms 24616 KB Output is correct
12 Correct 15 ms 6856 KB Output is correct
13 Correct 49 ms 19904 KB Output is correct
14 Correct 1 ms 600 KB Output is correct
15 Correct 2 ms 1236 KB Output is correct
16 Correct 150 ms 46544 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 154 ms 46628 KB Output is correct
10 Correct 11 ms 4564 KB Output is correct
11 Correct 70 ms 24616 KB Output is correct
12 Correct 15 ms 6856 KB Output is correct
13 Correct 49 ms 19904 KB Output is correct
14 Correct 1 ms 600 KB Output is correct
15 Correct 2 ms 1236 KB Output is correct
16 Correct 150 ms 46544 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 448 ms 95188 KB Output is correct
24 Correct 0 ms 344 KB Output is correct
25 Correct 2 ms 856 KB Output is correct
26 Correct 3 ms 1628 KB Output is correct
27 Correct 4 ms 2140 KB Output is correct
28 Correct 151 ms 38676 KB Output is correct
29 Correct 274 ms 61920 KB Output is correct
30 Correct 464 ms 77236 KB Output is correct
31 Correct 509 ms 96660 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 344 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 0 ms 436 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 0 ms 348 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 2 ms 1116 KB Output is correct
44 Correct 3 ms 1372 KB Output is correct
45 Correct 139 ms 39720 KB Output is correct
46 Correct 245 ms 57548 KB Output is correct
47 Correct 239 ms 58816 KB Output is correct

Subtask #3
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 154 ms 46628 KB Output is correct
10 Correct 11 ms 4564 KB Output is correct
11 Correct 70 ms 24616 KB Output is correct
12 Correct 15 ms 6856 KB Output is correct
13 Correct 49 ms 19904 KB Output is correct
14 Correct 1 ms 600 KB Output is correct
15 Correct 2 ms 1236 KB Output is correct
16 Correct 150 ms 46544 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 448 ms 95188 KB Output is correct
24 Correct 0 ms 344 KB Output is correct
25 Correct 2 ms 856 KB Output is correct
26 Correct 3 ms 1628 KB Output is correct
27 Correct 4 ms 2140 KB Output is correct
28 Correct 151 ms 38676 KB Output is correct
29 Correct 274 ms 61920 KB Output is correct
30 Correct 464 ms 77236 KB Output is correct
31 Correct 509 ms 96660 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 344 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 0 ms 436 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 0 ms 348 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 2 ms 1116 KB Output is correct
44 Correct 3 ms 1372 KB Output is correct
45 Correct 139 ms 39720 KB Output is correct
46 Correct 245 ms 57548 KB Output is correct
47 Correct 239 ms 58816 KB Output is correct
48 Correct 0 ms 344 KB Output is correct
49 Correct 0 ms 348 KB Output is correct
50 Correct 0 ms 348 KB Output is correct
51 Execution timed out 3595 ms 348 KB Time limit exceeded
52 Halted 0 ms 0 KB -

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 154 ms 46628 KB Output is correct
10 Correct 11 ms 4564 KB Output is correct
11 Correct 70 ms 24616 KB Output is correct
12 Correct 15 ms 6856 KB Output is correct
13 Correct 49 ms 19904 KB Output is correct
14 Correct 1 ms 600 KB Output is correct
15 Correct 2 ms 1236 KB Output is correct
16 Correct 150 ms 46544 KB Output is correct
17 Correct 0 ms 344 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 604 KB Output is correct
20 Correct 288 ms 75912 KB Output is correct
21 Correct 322 ms 75384 KB Output is correct
22 Correct 300 ms 75376 KB Output is correct
23 Correct 271 ms 72892 KB Output is correct
24 Correct 48 ms 22468 KB Output is correct
25 Correct 290 ms 87264 KB Output is correct
26 Correct 296 ms 87036 KB Output is correct
27 Correct 356 ms 92668 KB Output is correct
28 Correct 336 ms 92672 KB Output is correct
29 Correct 380 ms 93012 KB Output is correct
30 Correct 326 ms 92420 KB Output is correct
31 Correct 0 ms 344 KB Output is correct
32 Execution timed out 3594 ms 5108 KB Time limit exceeded
33 Halted 0 ms 0 KB -

Subtask #5
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 154 ms 46628 KB Output is correct
10 Correct 11 ms 4564 KB Output is correct
11 Correct 70 ms 24616 KB Output is correct
12 Correct 15 ms 6856 KB Output is correct
13 Correct 49 ms 19904 KB Output is correct
14 Correct 1 ms 600 KB Output is correct
15 Correct 2 ms 1236 KB Output is correct
16 Correct 150 ms 46544 KB Output is correct
17 Correct 408 ms 93448 KB Output is correct
18 Execution timed out 3510 ms 85756 KB Time limit exceeded
19 Halted 0 ms 0 KB -

Subtask #6
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 154 ms 46628 KB Output is correct
10 Correct 11 ms 4564 KB Output is correct
11 Correct 70 ms 24616 KB Output is correct
12 Correct 15 ms 6856 KB Output is correct
13 Correct 49 ms 19904 KB Output is correct
14 Correct 1 ms 600 KB Output is correct
15 Correct 2 ms 1236 KB Output is correct
16 Correct 150 ms 46544 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 448 ms 95188 KB Output is correct
24 Correct 0 ms 344 KB Output is correct
25 Correct 2 ms 856 KB Output is correct
26 Correct 3 ms 1628 KB Output is correct
27 Correct 4 ms 2140 KB Output is correct
28 Correct 151 ms 38676 KB Output is correct
29 Correct 274 ms 61920 KB Output is correct
30 Correct 464 ms 77236 KB Output is correct
31 Correct 509 ms 96660 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 344 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 0 ms 436 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 0 ms 348 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 2 ms 1116 KB Output is correct
44 Correct 3 ms 1372 KB Output is correct
45 Correct 139 ms 39720 KB Output is correct
46 Correct 245 ms 57548 KB Output is correct
47 Correct 239 ms 58816 KB Output is correct
48 Correct 0 ms 344 KB Output is correct
49 Correct 0 ms 348 KB Output is correct
50 Correct 0 ms 348 KB Output is correct
51 Execution timed out 3595 ms 348 KB Time limit exceeded
52 Halted 0 ms 0 KB -