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Submission #1054894

# Submission time Handle Problem Language Result Execution time Memory
1054894 2024-08-12T12:55:53 Z Zicrus Fountain Parks (IOI21_parks) C++17
15 / 100
 3500 ms 111052 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_set<ll> twos;
    unordered_map<ll, ll> lnk, lnkU;
    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;
        if (poss[hashL] >= 2) twos.erase(hashL);
        poss[hashL]++;
        if (poss[hashL] >= 2) twos.insert(hashL);
        if (poss[hashR] >= 2) twos.erase(hashR);
        poss[hashR]++;
        if (poss[hashR] >= 2) twos.insert(hashR);
        lnk[hashL] ^= i;
        lnk[hashR] ^= i;
        lnkU[hashL] = i;
        lnkU[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); twos.erase(edgeHashes[id].first); }
            if (poss[edgeHashes[id].first] >= 2) twos.insert(edgeHashes[id].first);
            if (--poss[edgeHashes[id].second] == 1) { q.push(edgeHashes[id].second); twos.erase(edgeHashes[id].second); }
            if (poss[edgeHashes[id].second] >= 2) twos.insert(edgeHashes[id].second);
            lnk[edgeHashes[id].first] ^= id;
            lnk[edgeHashes[id].second] ^= id;
        }
        if (cnt < edges.size() && !twos.empty()) {
            ll v = *twos.begin();
            twos.erase(twos.begin());
            for (int i = 0; i < 1; i = 10) {
                i = lnkU[v];
                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;
                if (poss[otherHash] >= 2) twos.erase(otherHash);
                poss[otherHash]--;
                if (poss[otherHash] >= 2) twos.insert(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);
                    ll otherX = a[edge] + 2 * (midX - a[edge]);
                    ll otherY = b[edge] + 2 * (midY - b[edge]);
                    otherHash = (otherX << 31) | otherY;
                    if (poss[otherHash] >= 2) twos.erase(otherHash);
                    poss[otherHash]--;
                    if (poss[otherHash] >= 2) twos.insert(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:85:23: 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]
   85 |     for (int i = 0; i < edges.size(); i++) {
      |                     ~~^~~~~~~~~~~~~~
parks.cpp:116:16: 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]
  116 |     while (cnt < edges.size()) {
      |            ~~~~^~~~~~~~~~~~~~
parks.cpp:132:17: 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]
  132 |         if (cnt < edges.size() && !twos.empty()) {
      |             ~~~~^~~~~~~~~~~~~~
parks.cpp:177:23: 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]
  177 |     for (int i = 0; i < edges.size(); i++) {
      |                     ~~^~~~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 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 213 ms 54764 KB Output is correct
10 Correct 13 ms 5332 KB Output is correct
11 Correct 94 ms 29064 KB Output is correct
12 Correct 18 ms 8172 KB Output is correct
13 Correct 73 ms 23728 KB Output is correct
14 Correct 1 ms 860 KB Output is correct
15 Correct 3 ms 1368 KB Output is correct
16 Correct 209 ms 54836 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 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 213 ms 54764 KB Output is correct
10 Correct 13 ms 5332 KB Output is correct
11 Correct 94 ms 29064 KB Output is correct
12 Correct 18 ms 8172 KB Output is correct
13 Correct 73 ms 23728 KB Output is correct
14 Correct 1 ms 860 KB Output is correct
15 Correct 3 ms 1368 KB Output is correct
16 Correct 209 ms 54836 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 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 1 ms 344 KB Output is correct
23 Correct 713 ms 107900 KB Output is correct
24 Correct 0 ms 344 KB Output is correct
25 Correct 2 ms 1116 KB Output is correct
26 Correct 4 ms 1884 KB Output is correct
27 Correct 6 ms 2276 KB Output is correct
28 Correct 212 ms 43712 KB Output is correct
29 Correct 348 ms 70004 KB Output is correct
30 Correct 604 ms 87204 KB Output is correct
31 Correct 840 ms 107940 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 1 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 348 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 0 ms 348 KB Output is correct
42 Correct 1 ms 348 KB Output is correct
43 Correct 2 ms 1112 KB Output is correct
44 Correct 4 ms 1628 KB Output is correct
45 Correct 274 ms 45000 KB Output is correct
46 Correct 517 ms 67836 KB Output is correct
47 Correct 453 ms 66920 KB Output is correct

Subtask #3
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 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 213 ms 54764 KB Output is correct
10 Correct 13 ms 5332 KB Output is correct
11 Correct 94 ms 29064 KB Output is correct
12 Correct 18 ms 8172 KB Output is correct
13 Correct 73 ms 23728 KB Output is correct
14 Correct 1 ms 860 KB Output is correct
15 Correct 3 ms 1368 KB Output is correct
16 Correct 209 ms 54836 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 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 1 ms 344 KB Output is correct
23 Correct 713 ms 107900 KB Output is correct
24 Correct 0 ms 344 KB Output is correct
25 Correct 2 ms 1116 KB Output is correct
26 Correct 4 ms 1884 KB Output is correct
27 Correct 6 ms 2276 KB Output is correct
28 Correct 212 ms 43712 KB Output is correct
29 Correct 348 ms 70004 KB Output is correct
30 Correct 604 ms 87204 KB Output is correct
31 Correct 840 ms 107940 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 1 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 348 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 0 ms 348 KB Output is correct
42 Correct 1 ms 348 KB Output is correct
43 Correct 2 ms 1112 KB Output is correct
44 Correct 4 ms 1628 KB Output is correct
45 Correct 274 ms 45000 KB Output is correct
46 Correct 517 ms 67836 KB Output is correct
47 Correct 453 ms 66920 KB Output is correct
48 Correct 0 ms 348 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 3590 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 1 ms 344 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 213 ms 54764 KB Output is correct
10 Correct 13 ms 5332 KB Output is correct
11 Correct 94 ms 29064 KB Output is correct
12 Correct 18 ms 8172 KB Output is correct
13 Correct 73 ms 23728 KB Output is correct
14 Correct 1 ms 860 KB Output is correct
15 Correct 3 ms 1368 KB Output is correct
16 Correct 209 ms 54836 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 348 KB Output is correct
20 Correct 579 ms 85792 KB Output is correct
21 Correct 795 ms 84856 KB Output is correct
22 Correct 773 ms 85504 KB Output is correct
23 Correct 506 ms 83588 KB Output is correct
24 Correct 79 ms 20680 KB Output is correct
25 Correct 539 ms 103996 KB Output is correct
26 Correct 584 ms 103688 KB Output is correct
27 Correct 670 ms 109204 KB Output is correct
28 Correct 620 ms 109036 KB Output is correct
29 Correct 604 ms 109896 KB Output is correct
30 Correct 576 ms 109644 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Execution timed out 3585 ms 5848 KB Time limit exceeded
33 Halted 0 ms 0 KB -

Subtask #5
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 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 213 ms 54764 KB Output is correct
10 Correct 13 ms 5332 KB Output is correct
11 Correct 94 ms 29064 KB Output is correct
12 Correct 18 ms 8172 KB Output is correct
13 Correct 73 ms 23728 KB Output is correct
14 Correct 1 ms 860 KB Output is correct
15 Correct 3 ms 1368 KB Output is correct
16 Correct 209 ms 54836 KB Output is correct
17 Correct 821 ms 111052 KB Output is correct
18 Execution timed out 3591 ms 103720 KB Time limit exceeded
19 Halted 0 ms 0 KB -

Subtask #6
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 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 213 ms 54764 KB Output is correct
10 Correct 13 ms 5332 KB Output is correct
11 Correct 94 ms 29064 KB Output is correct
12 Correct 18 ms 8172 KB Output is correct
13 Correct 73 ms 23728 KB Output is correct
14 Correct 1 ms 860 KB Output is correct
15 Correct 3 ms 1368 KB Output is correct
16 Correct 209 ms 54836 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 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 1 ms 344 KB Output is correct
23 Correct 713 ms 107900 KB Output is correct
24 Correct 0 ms 344 KB Output is correct
25 Correct 2 ms 1116 KB Output is correct
26 Correct 4 ms 1884 KB Output is correct
27 Correct 6 ms 2276 KB Output is correct
28 Correct 212 ms 43712 KB Output is correct
29 Correct 348 ms 70004 KB Output is correct
30 Correct 604 ms 87204 KB Output is correct
31 Correct 840 ms 107940 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 1 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 348 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 0 ms 348 KB Output is correct
42 Correct 1 ms 348 KB Output is correct
43 Correct 2 ms 1112 KB Output is correct
44 Correct 4 ms 1628 KB Output is correct
45 Correct 274 ms 45000 KB Output is correct
46 Correct 517 ms 67836 KB Output is correct
47 Correct 453 ms 66920 KB Output is correct
48 Correct 0 ms 348 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 3590 ms 348 KB Time limit exceeded
52 Halted 0 ms 0 KB -