답안 #402625

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
402625 2021-05-12T04:53:13 Z generic_placeholder_name 다리 (APIO19_bridges) C++17
100 / 100
2731 ms 8080 KB
#pragma GCC optimize("Ofast")
#pragma GCC optimization("unroll-loops, no-stack-protector")
#pragma GCC target("avx,avx2,fma")

#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/trie_policy.hpp>
#include <ext/rope>

using namespace std;
using namespace __gnu_pbds;
using namespace __gnu_cxx;

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

#define fi first
#define se second
#define pb push_back
#define eb emplace_back
#define mp make_pair
#define gcd __gcd
#define fastio ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0)
#define rep(i, n) for (int i=0; i<(n); i++)
#define rep1(i, n) for (int i=1; i<=(n); i++)
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define endl "\n"

typedef long long ll;
typedef unsigned long long ull;
typedef unsigned uint;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef vector<int> vi;
typedef vector<vector<int>> vvi;
typedef vector<ll> vll;
typedef vector<vector<ll>> vvll;
typedef vector<bool> vb;
typedef vector<vector<bool>> vvb;
template<typename T, typename cmp = less<T>>
using ordered_set=tree<T, null_type, cmp, rb_tree_tag, tree_order_statistics_node_update>;
typedef trie<string, null_type, trie_string_access_traits<>, pat_trie_tag, trie_prefix_search_node_update> pref_trie;

//C++17 when

constexpr int N = 50005, M = 100005;
constexpr int Q = 100005, T = 444;

int n, m;

int u[M], v[M], w[M];
vector<int> idx;

auto comp = [](int x, int y) {
    return mp(w[x], x) > mp(w[y], y);
};

int cur_w[M];
bool changed[M];
bool tmp_vis[N];

int d[N];

//fwd-star
constexpr int MX = 2000;
int lst[N];
int to[MX], edge[MX], nxt[MX];
int sz = 0;

void add_edge(int u, int v, int i) {
    nxt[++sz] = lst[u];
    to[sz] = v;
    edge[sz] = i;
    lst[u] = sz;
}

int find(int x) {return d[x] < 0 ? x : d[x] = find(d[x]);}

void join(int x, int y) {
    x = find(x), y = find(y);
    if(x == y) return;
    if(d[x] > d[y]) swap(x, y);
    d[x] += d[y]; d[y] = x;
}

int comp_sz(int x) {
    return -d[find(x)];
}

struct query {
    int t, u, w;
    query(int t, int u, int w): t(t), u(u), w(w) {}
    bool operator < (const query& oth) {return w > oth.w;}
};

struct update {
    int t, id, w;
    update(int t, int id, int w): t(t), id(id), w(w) {}
};

vi merge(const vi& a, const vi& b) {
    vi ans; ans.reserve(m);
    int ptra = 0, ptrb = 0;
    while(ptra < a.size() || ptrb < b.size()) {
        if(ptra < a.size() && (ptrb == b.size() || comp(a[ptra], b[ptrb]))) ans.pb(a[ptra++]);
        else ans.pb(b[ptrb++]);
    }
    return ans;
}

void process_queries(const vector<update>& upd, vector<query> qry) {
    sort(all(qry));
    vector<int> updated;
    memset(changed, 0, m * sizeof(bool));
    memset(d, -1, n * sizeof(int));
    memset(tmp_vis, 0, n * sizeof(bool));
    memset(lst, 0, n * sizeof(int));
    sz = 0;
    for(auto& u: upd) if(!changed[u.id]) {
        updated.pb(u.id);
        idx.erase(lower_bound(all(idx), u.id, comp));
        //idx.erase(find(all(idx), u.id));
        changed[u.id] = 1;
    }
    vector<pii> ans;
    int ptr = 0;
    for(auto& q: qry) {
        //cout << "processing " << q.t << ' ' << q.u << ' ' << q.w << endl;
        while(ptr < idx.size() && w[idx[ptr]] >= q.w) {
            //if(!changed[idx[ptr]]) cout << "joining " << idx[ptr] << ' ' << u[idx[ptr]] << ' ' << v[idx[ptr]] << endl;
            join(u[idx[ptr]], v[idx[ptr]]);
            ptr++;
        }
        sz = 0;
        for(int id: updated) {
            lst[find(u[id])] = 0;
            lst[find(v[id])] = 0;
            cur_w[id] = w[id];
        }
        for(int i = 0; i < upd.size() && upd[i].t <= q.t; i++) {
            cur_w[upd[i].id] = upd[i].w;
        }
        for(int id: updated) {
            int x = find(u[id]), y = find(v[id]);
            //cout << "insert edge " << id << ' ' << x << ' ' << y << ' ' << cur_w[id] << endl;
            add_edge(x, y, id);
            add_edge(y, x, id);
        }
        int res = 0;
        for(int id: updated) {
            tmp_vis[find(u[id])] = 0;
            tmp_vis[find(v[id])] = 0;
        }
        q.u = find(q.u);
        function<void(int)> dfs = [&](int u) -> void {
            tmp_vis[u] = 1;
            res += comp_sz(u);
            for(int id = lst[u]; id; id = nxt[id]) {
                int v = to[id], i = edge[id];
                if(cur_w[i] >= q.w && !tmp_vis[v]) dfs(v);
            }
        };
        dfs(q.u);
        ans.eb(q.t, res);
    }
    for(auto& u: upd) w[u.id] = u.w;
    vi erased_idx;
    for(int x: updated) erased_idx.pb(x);
    sort(all(erased_idx), comp);
    idx = merge(idx, erased_idx);
    sort(all(ans));
    for(auto& [_, v]: ans) cout << v << endl;
    //cout << "end block\n";
    //rep(i, m) cout << w[i] << ' '; cout << endl;
    //rep(i, m) cout << idx[i] << ' '; cout << endl;
}

int32_t main() {
    fastio;
    cin >> n >> m;
    rep(i, m) {
        cin >> u[i] >> v[i] >> w[i];
        --u[i], --v[i];
    }
    idx.resize(m);
    iota(all(idx), 0);
    sort(all(idx), comp);
    int q; cin >> q;
    for(int i = 0; i < q; i += T) {
        vector<query> queries;
        vector<update> updates;
        for(int j = i; j < min(i + T, q); j++) {
            int T; cin >> T;
            if(T == 1) {
                int x, w; cin >> x >> w; --x;
                updates.eb(j, x, w);
            }
            else {
                int u, w; cin >> u >> w; --u;
                queries.eb(j, u, w);
            }
        }
        process_queries(updates, queries);
    }
}

Compilation message

bridges.cpp:2: warning: ignoring '#pragma GCC optimization' [-Wunknown-pragmas]
    2 | #pragma GCC optimization("unroll-loops, no-stack-protector")
      | 
bridges.cpp: In function 'vi merge(const vi&, const vi&)':
bridges.cpp:105:16: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  105 |     while(ptra < a.size() || ptrb < b.size()) {
      |           ~~~~~^~~~~~~~~~
bridges.cpp:105:35: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  105 |     while(ptra < a.size() || ptrb < b.size()) {
      |                              ~~~~~^~~~~~~~~~
bridges.cpp:106:17: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  106 |         if(ptra < a.size() && (ptrb == b.size() || comp(a[ptra], b[ptrb]))) ans.pb(a[ptra++]);
      |            ~~~~~^~~~~~~~~~
bridges.cpp:106:37: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  106 |         if(ptra < a.size() && (ptrb == b.size() || comp(a[ptra], b[ptrb]))) ans.pb(a[ptra++]);
      |                                ~~~~~^~~~~~~~~~~
bridges.cpp: In function 'void process_queries(const std::vector<update>&, std::vector<query>)':
bridges.cpp:130:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  130 |         while(ptr < idx.size() && w[idx[ptr]] >= q.w) {
      |               ~~~~^~~~~~~~~~~~
bridges.cpp:141:26: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<update>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  141 |         for(int i = 0; i < upd.size() && upd[i].t <= q.t; i++) {
      |                        ~~^~~~~~~~~~~~
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 57 ms 524 KB Output is correct
4 Correct 6 ms 372 KB Output is correct
5 Correct 25 ms 392 KB Output is correct
6 Correct 25 ms 392 KB Output is correct
7 Correct 23 ms 380 KB Output is correct
8 Correct 21 ms 332 KB Output is correct
9 Correct 26 ms 392 KB Output is correct
10 Correct 20 ms 396 KB Output is correct
11 Correct 20 ms 392 KB Output is correct
12 Correct 20 ms 400 KB Output is correct
13 Correct 28 ms 388 KB Output is correct
14 Correct 27 ms 392 KB Output is correct
15 Correct 25 ms 396 KB Output is correct
16 Correct 23 ms 388 KB Output is correct
17 Correct 23 ms 388 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 1546 ms 2540 KB Output is correct
2 Correct 1538 ms 2360 KB Output is correct
3 Correct 1536 ms 2328 KB Output is correct
4 Correct 1524 ms 2540 KB Output is correct
5 Correct 1541 ms 2700 KB Output is correct
6 Correct 1917 ms 2804 KB Output is correct
7 Correct 1814 ms 2640 KB Output is correct
8 Correct 1742 ms 2660 KB Output is correct
9 Correct 53 ms 592 KB Output is correct
10 Correct 1574 ms 2532 KB Output is correct
11 Correct 1485 ms 2424 KB Output is correct
12 Correct 950 ms 2812 KB Output is correct
13 Correct 1297 ms 2492 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 1155 ms 1884 KB Output is correct
2 Correct 837 ms 964 KB Output is correct
3 Correct 1280 ms 1988 KB Output is correct
4 Correct 1190 ms 1744 KB Output is correct
5 Correct 53 ms 616 KB Output is correct
6 Correct 1197 ms 1960 KB Output is correct
7 Correct 1159 ms 1784 KB Output is correct
8 Correct 1129 ms 1752 KB Output is correct
9 Correct 606 ms 1844 KB Output is correct
10 Correct 597 ms 2008 KB Output is correct
11 Correct 864 ms 1632 KB Output is correct
12 Correct 837 ms 1716 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 1139 ms 3492 KB Output is correct
2 Correct 52 ms 452 KB Output is correct
3 Correct 126 ms 2432 KB Output is correct
4 Correct 78 ms 2432 KB Output is correct
5 Correct 798 ms 3364 KB Output is correct
6 Correct 1138 ms 3312 KB Output is correct
7 Correct 795 ms 3236 KB Output is correct
8 Correct 615 ms 1912 KB Output is correct
9 Correct 602 ms 1964 KB Output is correct
10 Correct 623 ms 2224 KB Output is correct
11 Correct 1040 ms 2684 KB Output is correct
12 Correct 994 ms 2568 KB Output is correct
13 Correct 1048 ms 2788 KB Output is correct
14 Correct 781 ms 3448 KB Output is correct
15 Correct 786 ms 3492 KB Output is correct
16 Correct 1273 ms 3376 KB Output is correct
17 Correct 1280 ms 3244 KB Output is correct
18 Correct 1276 ms 3352 KB Output is correct
19 Correct 1266 ms 3248 KB Output is correct
20 Correct 1173 ms 3236 KB Output is correct
21 Correct 1180 ms 3092 KB Output is correct
22 Correct 1230 ms 3388 KB Output is correct
23 Correct 944 ms 3012 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 1546 ms 2540 KB Output is correct
2 Correct 1538 ms 2360 KB Output is correct
3 Correct 1536 ms 2328 KB Output is correct
4 Correct 1524 ms 2540 KB Output is correct
5 Correct 1541 ms 2700 KB Output is correct
6 Correct 1917 ms 2804 KB Output is correct
7 Correct 1814 ms 2640 KB Output is correct
8 Correct 1742 ms 2660 KB Output is correct
9 Correct 53 ms 592 KB Output is correct
10 Correct 1574 ms 2532 KB Output is correct
11 Correct 1485 ms 2424 KB Output is correct
12 Correct 950 ms 2812 KB Output is correct
13 Correct 1297 ms 2492 KB Output is correct
14 Correct 1155 ms 1884 KB Output is correct
15 Correct 837 ms 964 KB Output is correct
16 Correct 1280 ms 1988 KB Output is correct
17 Correct 1190 ms 1744 KB Output is correct
18 Correct 53 ms 616 KB Output is correct
19 Correct 1197 ms 1960 KB Output is correct
20 Correct 1159 ms 1784 KB Output is correct
21 Correct 1129 ms 1752 KB Output is correct
22 Correct 606 ms 1844 KB Output is correct
23 Correct 597 ms 2008 KB Output is correct
24 Correct 864 ms 1632 KB Output is correct
25 Correct 837 ms 1716 KB Output is correct
26 Correct 1446 ms 2420 KB Output is correct
27 Correct 1804 ms 2500 KB Output is correct
28 Correct 1684 ms 2584 KB Output is correct
29 Correct 1500 ms 2652 KB Output is correct
30 Correct 1807 ms 2460 KB Output is correct
31 Correct 1792 ms 2692 KB Output is correct
32 Correct 1798 ms 2492 KB Output is correct
33 Correct 1639 ms 2392 KB Output is correct
34 Correct 1640 ms 2596 KB Output is correct
35 Correct 1638 ms 2404 KB Output is correct
36 Correct 1503 ms 2436 KB Output is correct
37 Correct 1501 ms 2500 KB Output is correct
38 Correct 1504 ms 2604 KB Output is correct
39 Correct 900 ms 2456 KB Output is correct
40 Correct 902 ms 2484 KB Output is correct
41 Correct 901 ms 2480 KB Output is correct
42 Correct 1219 ms 2232 KB Output is correct
43 Correct 1229 ms 2332 KB Output is correct
44 Correct 1217 ms 2236 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 57 ms 524 KB Output is correct
4 Correct 6 ms 372 KB Output is correct
5 Correct 25 ms 392 KB Output is correct
6 Correct 25 ms 392 KB Output is correct
7 Correct 23 ms 380 KB Output is correct
8 Correct 21 ms 332 KB Output is correct
9 Correct 26 ms 392 KB Output is correct
10 Correct 20 ms 396 KB Output is correct
11 Correct 20 ms 392 KB Output is correct
12 Correct 20 ms 400 KB Output is correct
13 Correct 28 ms 388 KB Output is correct
14 Correct 27 ms 392 KB Output is correct
15 Correct 25 ms 396 KB Output is correct
16 Correct 23 ms 388 KB Output is correct
17 Correct 23 ms 388 KB Output is correct
18 Correct 1546 ms 2540 KB Output is correct
19 Correct 1538 ms 2360 KB Output is correct
20 Correct 1536 ms 2328 KB Output is correct
21 Correct 1524 ms 2540 KB Output is correct
22 Correct 1541 ms 2700 KB Output is correct
23 Correct 1917 ms 2804 KB Output is correct
24 Correct 1814 ms 2640 KB Output is correct
25 Correct 1742 ms 2660 KB Output is correct
26 Correct 53 ms 592 KB Output is correct
27 Correct 1574 ms 2532 KB Output is correct
28 Correct 1485 ms 2424 KB Output is correct
29 Correct 950 ms 2812 KB Output is correct
30 Correct 1297 ms 2492 KB Output is correct
31 Correct 1155 ms 1884 KB Output is correct
32 Correct 837 ms 964 KB Output is correct
33 Correct 1280 ms 1988 KB Output is correct
34 Correct 1190 ms 1744 KB Output is correct
35 Correct 53 ms 616 KB Output is correct
36 Correct 1197 ms 1960 KB Output is correct
37 Correct 1159 ms 1784 KB Output is correct
38 Correct 1129 ms 1752 KB Output is correct
39 Correct 606 ms 1844 KB Output is correct
40 Correct 597 ms 2008 KB Output is correct
41 Correct 864 ms 1632 KB Output is correct
42 Correct 837 ms 1716 KB Output is correct
43 Correct 1139 ms 3492 KB Output is correct
44 Correct 52 ms 452 KB Output is correct
45 Correct 126 ms 2432 KB Output is correct
46 Correct 78 ms 2432 KB Output is correct
47 Correct 798 ms 3364 KB Output is correct
48 Correct 1138 ms 3312 KB Output is correct
49 Correct 795 ms 3236 KB Output is correct
50 Correct 615 ms 1912 KB Output is correct
51 Correct 602 ms 1964 KB Output is correct
52 Correct 623 ms 2224 KB Output is correct
53 Correct 1040 ms 2684 KB Output is correct
54 Correct 994 ms 2568 KB Output is correct
55 Correct 1048 ms 2788 KB Output is correct
56 Correct 781 ms 3448 KB Output is correct
57 Correct 786 ms 3492 KB Output is correct
58 Correct 1273 ms 3376 KB Output is correct
59 Correct 1280 ms 3244 KB Output is correct
60 Correct 1276 ms 3352 KB Output is correct
61 Correct 1266 ms 3248 KB Output is correct
62 Correct 1173 ms 3236 KB Output is correct
63 Correct 1180 ms 3092 KB Output is correct
64 Correct 1230 ms 3388 KB Output is correct
65 Correct 944 ms 3012 KB Output is correct
66 Correct 1446 ms 2420 KB Output is correct
67 Correct 1804 ms 2500 KB Output is correct
68 Correct 1684 ms 2584 KB Output is correct
69 Correct 1500 ms 2652 KB Output is correct
70 Correct 1807 ms 2460 KB Output is correct
71 Correct 1792 ms 2692 KB Output is correct
72 Correct 1798 ms 2492 KB Output is correct
73 Correct 1639 ms 2392 KB Output is correct
74 Correct 1640 ms 2596 KB Output is correct
75 Correct 1638 ms 2404 KB Output is correct
76 Correct 1503 ms 2436 KB Output is correct
77 Correct 1501 ms 2500 KB Output is correct
78 Correct 1504 ms 2604 KB Output is correct
79 Correct 900 ms 2456 KB Output is correct
80 Correct 902 ms 2484 KB Output is correct
81 Correct 901 ms 2480 KB Output is correct
82 Correct 1219 ms 2232 KB Output is correct
83 Correct 1229 ms 2332 KB Output is correct
84 Correct 1217 ms 2236 KB Output is correct
85 Correct 2610 ms 3996 KB Output is correct
86 Correct 244 ms 5004 KB Output is correct
87 Correct 196 ms 5164 KB Output is correct
88 Correct 2202 ms 6428 KB Output is correct
89 Correct 2617 ms 8080 KB Output is correct
90 Correct 2164 ms 6248 KB Output is correct
91 Correct 1630 ms 5028 KB Output is correct
92 Correct 1631 ms 5224 KB Output is correct
93 Correct 1789 ms 5044 KB Output is correct
94 Correct 2251 ms 6252 KB Output is correct
95 Correct 2244 ms 6488 KB Output is correct
96 Correct 2349 ms 6392 KB Output is correct
97 Correct 1199 ms 6172 KB Output is correct
98 Correct 1848 ms 5452 KB Output is correct
99 Correct 2731 ms 7808 KB Output is correct
100 Correct 2615 ms 7788 KB Output is correct
101 Correct 2731 ms 8060 KB Output is correct
102 Correct 2693 ms 7652 KB Output is correct
103 Correct 2523 ms 6756 KB Output is correct
104 Correct 2407 ms 6896 KB Output is correct
105 Correct 2122 ms 6336 KB Output is correct
106 Correct 1839 ms 6008 KB Output is correct
107 Correct 1563 ms 6916 KB Output is correct
108 Correct 2684 ms 7124 KB Output is correct
109 Correct 2311 ms 5508 KB Output is correct