oj.uz

Submission #376801

# Submission time Handle Problem Language Result Execution time Memory
376801 2021-03-12T04:15:25 Z wiwiho Mergers (JOI19_mergers) C++14
70 / 100
 3000 ms 199752 KB 
#include<bits/stdc++.h>

#define mp make_pair
#define F first
#define S second
#define iter(a) a.begin(), a.end()
#define lsort(a) sort(iter(a))
#define printv(a, b) { \
    for(auto pv : a) b << pv << " "; \
    b << "\n"; \
}
#define eb emplace_back

using namespace std;

typedef long long ll;

using pll = pair<ll, ll>;
using pii = pair<int, int>;

ostream& operator<<(ostream& o, pll p){
    return o << '(' << p.F << ',' << p.S << ')';
}

void waassert(bool t){
    if(!t){
        cout << "OAO\n";
        exit(0);
    }
}

struct Info{
    pii mn, mx, al, lb, alb;
};

Info pull(Info a, Info b){
    Info c;
    c.mn = min(a.mn, b.mn);
    c.mx = max(a.mx, b.mx);
    c.al = max({a.al, b.al, mp(a.mx.F - 2 * b.mn.F, b.mn.S)});
    c.lb = max({a.lb, b.lb, mp(- 2 * a.mn.F + b.mx.F, a.mn.S)});
    c.alb = max({a.alb, b.alb, mp(a.al.F + b.mx.F, a.al.S), mp(a.mx.F + b.lb.F, b.lb.S)});
    return c;
}

ostream& operator<<(ostream& o, Info info){
    return o << '(' << info.mn << ',' << info.mx << ',' << info.al << ',' << info.lb << ',' << info.alb << ')';
}

struct Node{
    int l = -1, r = -1;
    int tag = 0;
    Info info;
    Info rv(){
        Info t = info;
        t.mn.F += tag;
        t.mx.F += tag;
        t.al.F -= tag;
        t.lb.F -= tag;
        return t;
    }
};

struct SegmentTree{
    vector<Node> st;
    int ts = 0;
    int build(int l, int r){
        int id = ts++;
        st[id].info.mn.S = st[id].info.mx.S = l;
        st[id].info.al.S = l;
        st[id].info.lb.S = l;
        st[id].info.alb.S = l;
        if(l == r) return id;
        int m = (l + r) / 2;
        st[id].l = build(l, m);
        st[id].r = build(m + 1, r);
        return id;
    }
    void push(int id){
        st[st[id].l].tag += st[id].tag;
        st[st[id].r].tag += st[id].tag;
        st[id].info = st[id].rv();
        st[id].tag = 0;
    }
    void modify(int l, int r, int v, int L, int R, int id){
        if(l == L && r == R){
            st[id].tag += v;
            return;
        }
        int M = (L + R) / 2;
        if(r <= M) modify(l, r, v, L, M, st[id].l);
        else if(l > M) modify(l, r, v, M + 1, R, st[id].r);
        else{
            modify(l, M, v, L, M, st[id].l);
            modify(M + 1, r, v, M + 1, R, st[id].r);
        }
        st[id].info = pull(st[st[id].l].rv(), st[st[id].r].rv());
    }
    pii query(int l, int r, int L, int R, int id){
        if(l == L && r == R) return st[id].rv().mx;
        push(id);
        int M = (L + R) / 2;
        if(r <= M) return query(l, r, L, M, st[id].l);
        else if(l > M) return query(l, r, M + 1, R, st[id].r);
        else return max(query(l, M, L, M, st[id].l), query(M + 1, r, M + 1, R, st[id].r));
    }
    void print(int l, int r, int id){
        cerr << "print " << l << " " << r << " " << id << " " << st[id].l << " " << st[id].r << " " << st[id].info << "\n";
        if(l == r) return;
        push(id);
        int m = (l + r) / 2;
        print(l, m, st[id].l);
        print(m + 1, r, st[id].r);
    }
};

struct DSU{
    vector<int> dsu;
    vector<int> rk, up;
    int cnt;
    void init(int n){
        dsu.resize(n + 1);
        rk.resize(n + 1, 1);
        up.resize(n + 1);
        cnt = n;
        for(int i = 1; i <= n; i++) dsu[i] = up[i] = i;
    }
    int findDSU(int a){
        if(dsu[a] != a) dsu[a] = findDSU(dsu[a]);
        return dsu[a];
    }
    void unionDSU(int a, int b){
        a = findDSU(a);
        b = findDSU(b);
        if(a == b) return;
        int tmp = up[a];
        if(rk[a] < rk[b]) swap(a, b);
        else if(rk[a] == rk[b]) rk[a]++;
        up[a] = tmp;
        cnt--;
        dsu[b] = a;
    }
};

int n;
vector<vector<int>> g;
vector<int> s;
vector<vector<int>> anc;
vector<int> in, out;
vector<int> et(1);
DSU dsu;
int ts = 0;
SegmentTree st;

void dfs1(int now, int p){
    anc[0][now] = p;
    in[now] = ++ts;
    et.eb(now);
    for(int i : g[now]){
        if(i == p) continue;
        dfs1(i, now);
        ts++;
        et.eb(now);
    }
    out[now] = ts;
}

void buildLCA(){
    for(int i = 1; i < 20; i++){
        for(int j = 1; j <= n; j++){
            anc[i][j] = anc[i - 1][anc[i - 1][j]];
        }
    }
}

bool isAnc(int a, int b){
    return in[a] <= in[b] && out[a] >= out[b];
}

int getLCA(int a, int b){
    if(isAnc(a, b)) return a;
    for(int i = 19; i >= 0; i--){
        if(!isAnc(anc[i][a], b)) a = anc[i][a];
    }
    return anc[0][a];
}

int ucnt = 0;
int unionPath(int a, int b){
    int lca = getLCA(a, b);
    a = dsu.up[dsu.findDSU(a)];
    b = dsu.up[dsu.findDSU(b)];
    //cerr << a << " " << b << "\n";
    while(!isAnc(a, lca)){
        //cerr << a << " " << b << "\n";
        st.modify(in[a], out[a], -1, 1, 2 * n - 1, 0);
        dsu.unionDSU(anc[0][a], a);
        a = dsu.findDSU(a);
        a = dsu.up[a];
        ucnt++;
        assert(ucnt < n);
    }
    while(!isAnc(b, lca)){
        //cerr << a << " " << b << "\n";
        st.modify(in[b], out[b], -1, 1, 2 * n - 1, 0);
        dsu.unionDSU(anc[0][b], b);
        b = dsu.findDSU(b);
        b = dsu.up[b];
        ucnt++;
        assert(ucnt < n);
    }
    return dsu.up[dsu.findDSU(lca)];
}

int fv = -1, fd = -1;

void dfs2(int now, int p, int dpt){
    if(dpt > fd) fv = now, fd = dpt;
    //cerr << "dfs2 " << now << " " << p << " " << dpt << "\n";
    for(int i : g[now]){
        if(i == p) continue;
        if(dsu.findDSU(now) != dsu.findDSU(i)) dfs2(i, now, dpt + 1);
        else dfs2(i, now, dpt);
    }
}

void owo(){
    //cerr << "owo\n";
    int mid = st.st[0].info.alb.S;
    int t1 = et[st.query(1, mid, 1, 2 * n - 1, 0).S];
    int t2 = et[st.query(mid, 2 * n - 1, 1, 2 * n - 1, 0).S];
    //cerr << mid << " " << t1 << " " << t2 << "\n";
    unionPath(t1, t2);
}

int main(){
    ios_base::sync_with_stdio(false);
    cin.tie(0);

    int k;
    cin >> n >> k;
    g.resize(n + 1);
    s.resize(n + 1);
    anc.resize(20, vector<int>(n + 1));
    in.resize(n + 1);
    out.resize(n + 1);
    dsu.init(n);
    vector<vector<int>> city(k + 1);
    st.st.resize(4 * n);

    for(int i = 0; i < n - 1; i++){
        int u, v;
        cin >> u >> v;
        g[u].eb(v);
        g[v].eb(u);
    }
    for(int i = 1; i <= n; i++){
        cin >> s[i];
        city[s[i]].eb(i);
    }

    dfs1(1, 1);
    //printv(et, cerr);
    buildLCA();
    st.build(1, 2 * n - 1);
    for(int i = 1; i <= n; i++){
        st.modify(in[i], out[i], 1, 1, 2 * n - 1, 0);
    }

    for(int i = 1; i <= k; i++){
        int v = city[i].front();
        for(int j = 1; j < city[i].size(); j++){
            v = unionPath(v, city[i][j]);
        }
    }
    /*for(int i = 1; i < 2 * n; i++){
        cerr << i << " " << st.query(i, i, 1, 2 * n - 1, 0) << "\n";
    }
    st.print(1, 2 * n - 1, 0);*/

    int ans = 0;
    while(dsu.cnt > 1){
        owo();
        ans++;
    }
    cout << ans << "\n";


    return 0;
}

Compilation message

mergers.cpp: In function 'int main()':
mergers.cpp:272:26: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  272 |         for(int j = 1; j < city[i].size(); j++){
      |                        ~~^~~~~~~~~~~~~~~~

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 1 ms 364 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 1 ms 364 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 11 ms 1644 KB Output is correct
27 Correct 11 ms 1516 KB Output is correct
28 Correct 11 ms 1792 KB Output is correct
29 Correct 13 ms 1644 KB Output is correct
30 Correct 10 ms 1516 KB Output is correct
31 Correct 1 ms 364 KB Output is correct
32 Correct 12 ms 1772 KB Output is correct
33 Correct 1 ms 364 KB Output is correct
34 Correct 8 ms 1516 KB Output is correct
35 Correct 10 ms 1644 KB Output is correct
36 Correct 10 ms 1536 KB Output is correct
37 Correct 13 ms 1516 KB Output is correct
38 Correct 1 ms 364 KB Output is correct
39 Correct 10 ms 1516 KB Output is correct
40 Correct 9 ms 1516 KB Output is correct
41 Correct 11 ms 1516 KB Output is correct
42 Correct 9 ms 1644 KB Output is correct
43 Correct 12 ms 1644 KB Output is correct
44 Correct 1 ms 364 KB Output is correct
45 Correct 11 ms 1644 KB Output is correct
46 Correct 10 ms 1516 KB Output is correct
47 Correct 1 ms 364 KB Output is correct
48 Correct 10 ms 1516 KB Output is correct
49 Correct 9 ms 1644 KB Output is correct
50 Correct 11 ms 1644 KB Output is correct
51 Correct 11 ms 1516 KB Output is correct
52 Correct 8 ms 1536 KB Output is correct
53 Correct 9 ms 1644 KB Output is correct
54 Correct 10 ms 1516 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 1 ms 364 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 446 ms 38896 KB Output is correct
27 Correct 523 ms 38500 KB Output is correct
28 Correct 10 ms 1516 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 1 ms 364 KB Output is correct
31 Correct 465 ms 38500 KB Output is correct
32 Correct 8 ms 1516 KB Output is correct
33 Correct 668 ms 44388 KB Output is correct
34 Correct 517 ms 38628 KB Output is correct
35 Correct 11 ms 1516 KB Output is correct
36 Correct 591 ms 39140 KB Output is correct
37 Correct 10 ms 1516 KB Output is correct
38 Correct 9 ms 1516 KB Output is correct
39 Correct 449 ms 38884 KB Output is correct
40 Correct 12 ms 1644 KB Output is correct
41 Correct 518 ms 38372 KB Output is correct
42 Correct 634 ms 40420 KB Output is correct
43 Correct 1 ms 364 KB Output is correct
44 Correct 659 ms 44388 KB Output is correct
45 Correct 592 ms 41572 KB Output is correct
46 Correct 8 ms 1644 KB Output is correct
47 Correct 9 ms 1516 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 434 ms 38884 KB Output is correct
2 Correct 509 ms 43748 KB Output is correct
3 Correct 10 ms 1772 KB Output is correct
4 Correct 11 ms 1516 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 8 ms 1516 KB Output is correct
8 Correct 670 ms 41060 KB Output is correct
9 Correct 13 ms 1644 KB Output is correct
10 Correct 487 ms 38768 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 559 ms 38756 KB Output is correct
13 Correct 673 ms 40804 KB Output is correct
14 Correct 570 ms 43620 KB Output is correct
15 Correct 448 ms 39012 KB Output is correct
16 Correct 9 ms 1516 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 523 ms 43364 KB Output is correct
19 Correct 679 ms 46564 KB Output is correct
20 Correct 10 ms 1516 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 564 ms 41316 KB Output is correct
23 Correct 10 ms 1516 KB Output is correct
24 Correct 666 ms 39268 KB Output is correct
25 Correct 646 ms 45668 KB Output is correct
26 Correct 9 ms 1644 KB Output is correct
27 Correct 10 ms 1644 KB Output is correct
28 Correct 11 ms 1516 KB Output is correct
29 Correct 8 ms 1516 KB Output is correct
30 Correct 9 ms 1516 KB Output is correct

Subtask #5
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 1 ms 364 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 11 ms 1644 KB Output is correct
27 Correct 11 ms 1516 KB Output is correct
28 Correct 11 ms 1792 KB Output is correct
29 Correct 13 ms 1644 KB Output is correct
30 Correct 10 ms 1516 KB Output is correct
31 Correct 1 ms 364 KB Output is correct
32 Correct 12 ms 1772 KB Output is correct
33 Correct 1 ms 364 KB Output is correct
34 Correct 8 ms 1516 KB Output is correct
35 Correct 10 ms 1644 KB Output is correct
36 Correct 10 ms 1536 KB Output is correct
37 Correct 13 ms 1516 KB Output is correct
38 Correct 1 ms 364 KB Output is correct
39 Correct 10 ms 1516 KB Output is correct
40 Correct 9 ms 1516 KB Output is correct
41 Correct 11 ms 1516 KB Output is correct
42 Correct 9 ms 1644 KB Output is correct
43 Correct 12 ms 1644 KB Output is correct
44 Correct 1 ms 364 KB Output is correct
45 Correct 11 ms 1644 KB Output is correct
46 Correct 10 ms 1516 KB Output is correct
47 Correct 1 ms 364 KB Output is correct
48 Correct 10 ms 1516 KB Output is correct
49 Correct 9 ms 1644 KB Output is correct
50 Correct 11 ms 1644 KB Output is correct
51 Correct 11 ms 1516 KB Output is correct
52 Correct 8 ms 1536 KB Output is correct
53 Correct 9 ms 1644 KB Output is correct
54 Correct 10 ms 1516 KB Output is correct
55 Correct 1 ms 364 KB Output is correct
56 Correct 446 ms 38896 KB Output is correct
57 Correct 523 ms 38500 KB Output is correct
58 Correct 10 ms 1516 KB Output is correct
59 Correct 1 ms 364 KB Output is correct
60 Correct 1 ms 364 KB Output is correct
61 Correct 465 ms 38500 KB Output is correct
62 Correct 8 ms 1516 KB Output is correct
63 Correct 668 ms 44388 KB Output is correct
64 Correct 517 ms 38628 KB Output is correct
65 Correct 11 ms 1516 KB Output is correct
66 Correct 591 ms 39140 KB Output is correct
67 Correct 10 ms 1516 KB Output is correct
68 Correct 9 ms 1516 KB Output is correct
69 Correct 449 ms 38884 KB Output is correct
70 Correct 12 ms 1644 KB Output is correct
71 Correct 518 ms 38372 KB Output is correct
72 Correct 634 ms 40420 KB Output is correct
73 Correct 1 ms 364 KB Output is correct
74 Correct 659 ms 44388 KB Output is correct
75 Correct 592 ms 41572 KB Output is correct
76 Correct 8 ms 1644 KB Output is correct
77 Correct 9 ms 1516 KB Output is correct
78 Correct 434 ms 38884 KB Output is correct
79 Correct 509 ms 43748 KB Output is correct
80 Correct 10 ms 1772 KB Output is correct
81 Correct 11 ms 1516 KB Output is correct
82 Correct 1 ms 364 KB Output is correct
83 Correct 1 ms 364 KB Output is correct
84 Correct 8 ms 1516 KB Output is correct
85 Correct 670 ms 41060 KB Output is correct
86 Correct 13 ms 1644 KB Output is correct
87 Correct 487 ms 38768 KB Output is correct
88 Correct 1 ms 364 KB Output is correct
89 Correct 559 ms 38756 KB Output is correct
90 Correct 673 ms 40804 KB Output is correct
91 Correct 570 ms 43620 KB Output is correct
92 Correct 448 ms 39012 KB Output is correct
93 Correct 9 ms 1516 KB Output is correct
94 Correct 1 ms 364 KB Output is correct
95 Correct 523 ms 43364 KB Output is correct
96 Correct 679 ms 46564 KB Output is correct
97 Correct 10 ms 1516 KB Output is correct
98 Correct 1 ms 364 KB Output is correct
99 Correct 564 ms 41316 KB Output is correct
100 Correct 10 ms 1516 KB Output is correct
101 Correct 666 ms 39268 KB Output is correct
102 Correct 646 ms 45668 KB Output is correct
103 Correct 9 ms 1644 KB Output is correct
104 Correct 10 ms 1644 KB Output is correct
105 Correct 11 ms 1516 KB Output is correct
106 Correct 8 ms 1516 KB Output is correct
107 Correct 9 ms 1516 KB Output is correct
108 Execution timed out 3091 ms 199752 KB Time limit exceeded
109 Halted 0 ms 0 KB -