oj.uz

Submission #210644

# Submission time Handle Problem Language Result Execution time Memory
210644 2020-03-18T00:51:08 Z tri Mergers (JOI19_mergers) C++14
70 / 100
 267 ms 31480 KB 
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef long double ld;
typedef pair<int, int> pi;
typedef pair<ll, ll> pl;

typedef vector<int> vi;
typedef vector<ld> vd;
typedef vector<ll> vl;

#define pb push_back
#define f first
#define s second

namespace debug {
    const int DEBUG = true;

    template<class T1, class T2>
    void pr(const pair<T1, T2> &x);

    template<class T, size_t SZ>
    void pr(const array<T, SZ> &x);

    template<class T>
    void pr(const vector<T> &x);

    template<class T>
    void pr(const set<T> &x);

    template<class T1, class T2>
    void pr(const map<T1, T2> &x);

    template<class T>
    void pr(const T &x) { if (DEBUG) cout << x; }

    template<class T, class... Ts>
    void pr(const T &first, const Ts &... rest) { pr(first), pr(rest...); }

    template<class T1, class T2>
    void pr(const pair<T1, T2> &x) { pr("{", x.f, ", ", x.s, "}"); }

    template<class T>
    void prIn(const T &x) {
        pr("{");
        bool fst = 1;
        for (auto &a : x) {
            pr(fst ? "" : ", ", a), fst = 0;
        }
        pr("}");
    }

    template<class T, size_t SZ>
    void pr(const array<T, SZ> &x) { prIn(x); }

    template<class T>
    void pr(const vector<T> &x) { prIn(x); }

    template<class T>
    void pr(const set<T> &x) { prIn(x); }

    template<class T1, class T2>
    void pr(const map<T1, T2> &x) { prIn(x); }

    void ps() { pr("\n"), cout << flush; }

    template<class Arg, class... Args>
    void ps(const Arg &first, const Args &... rest) {
        pr(first, " ");
        ps(rest...);
    }
}
using namespace debug;


int N, K;

const int MAXN = 1e5 + 100;
const int LOGN = 20;

vi aL[MAXN];

int anc[MAXN][LOGN];
int depth[MAXN];

void dfs(int cV, int pV) {
    for (int aV : aL[cV]) {
        if (aV != pV) {
            depth[aV] = depth[cV] + 1;
            dfs(aV, cV);
            anc[aV][0] = cV;
        }
    }
}

void prep() {
    dfs(0, -1);
    anc[0][0] = 0;
    for (int k = 1; k < LOGN; k++) {
        for (int i = 0; i < N; i++) {
            anc[i][k] = anc[anc[i][k - 1]][k - 1];
        }
    }
}

int j(int a, int d) {
    for (int i = 0; i < LOGN; i++) {
        if (d & (1 << i)) {
            a = anc[a][i];
        }
    }
    return a;
}

int fLCA(int a, int b) {
    if (depth[a] > depth[b]) swap(a, b);

    b = j(b, depth[b] - depth[a]);

    if (a == b) return a;

    for (int i = LOGN - 1; i >= 0; i--) {
        if (anc[a][i] != anc[b][i]) {
            a = anc[a][i];
            b = anc[b][i];
        }
    }
    return anc[a][0];
}

int st[MAXN];

vi bySt[MAXN];

int mark[MAXN];

vector<pi> mrg;

int dfs2(int cV, int pV) {
    int sum = mark[cV];
    for (int aV : aL[cV]) {
        if (aV != pV) {
            sum += dfs2(aV, cV);
        }
    }
//    ps(cV, sum);
    if (sum) {
        mrg.pb({cV, pV});
    }
    return sum;
}

struct DSU {
    int anc[MAXN];

    void init() {
        for (int i = 0; i < MAXN; i++) {
            anc[i] = i;
        }
    }

    int fRt(int i) {
        return anc[i] == i ? i : anc[i] = fRt(anc[i]);
    }

    bool merge(int a, int b) {
        a = fRt(a), b = fRt(b);
        if (a == b) {
            return false;
        }
        anc[a] = b;
        return true;
    }
} dsu;

int id[MAXN];

vi cAL[MAXN];

int main() {
    cin >> N >> K;
    for (int i = 0; i < N - 1; i++) {
        int x, y;
        cin >> x >> y;
        x--, y--;
        aL[x].pb(y);
        aL[y].pb(x);
    }

    for (int i = 0; i < N; i++) {
        cin >> st[i];
        bySt[st[i]].pb(i);
    }


    prep();
//    ps(fLCA(5, 7));

    memset(mark, 0, sizeof(mark));

    for (vi &list : bySt) {
        for (int i = 0; i + 1 < list.size(); i++) {
            int x = list[i];
            int y = list[i + 1];
            int lca = fLCA(x, y);
//            ps(x, y, lca);
            mark[x]++;
            mark[y]++;
            mark[lca] -= 2;
        }
    }

//    for (int i = 0; i < N; i++) {
//        ps(mark[i]);
//    }

    dfs2(0, -1);

//    ps("mrg:", mrg);

    dsu.init();
    for (pi x : mrg) {
        dsu.merge(x.f, x.s);
    }

    for (int i = 0; i < N; i++) {
        id[i] = dsu.fRt(i);
    }

    for (int cV = 0; cV < N; cV++) {
        for (int aV :aL[cV]) {
            if (id[cV] != id[aV]) {
                cAL[id[cV]].pb(id[aV]);
            }
        }
    }

    for (int i = 0; i < N; i++) {
        sort(cAL[i].begin(), cAL[i].end());
        cAL[i].erase(unique(cAL[i].begin(), cAL[i].end()), cAL[i].end());
//        ps(cAL[i]);
    }

    int leaves = 0;
    for (int i = 0; i < N; i++) {
        if (cAL[i].size() == 1) {
            leaves++;
        }
    }
    cout << (leaves + 1) / 2 << endl;
}

Compilation message

mergers.cpp: In function 'int main()':
mergers.cpp:204:31: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for (int i = 0; i + 1 < list.size(); i++) {
                         ~~~~~~^~~~~~~~~~~~~

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 8184 KB Output is correct
2 Correct 9 ms 8188 KB Output is correct
3 Correct 10 ms 8184 KB Output is correct
4 Correct 10 ms 8184 KB Output is correct
5 Correct 10 ms 8184 KB Output is correct
6 Correct 10 ms 8184 KB Output is correct
7 Correct 10 ms 8184 KB Output is correct
8 Correct 10 ms 8188 KB Output is correct
9 Correct 10 ms 8160 KB Output is correct
10 Correct 10 ms 8184 KB Output is correct
11 Correct 10 ms 8184 KB Output is correct
12 Correct 10 ms 8184 KB Output is correct
13 Correct 10 ms 8204 KB Output is correct
14 Correct 10 ms 8184 KB Output is correct
15 Correct 10 ms 8184 KB Output is correct
16 Correct 10 ms 8184 KB Output is correct
17 Correct 10 ms 8176 KB Output is correct
18 Correct 10 ms 8184 KB Output is correct
19 Correct 10 ms 8184 KB Output is correct
20 Correct 10 ms 8184 KB Output is correct
21 Correct 10 ms 8184 KB Output is correct
22 Correct 10 ms 8184 KB Output is correct
23 Correct 10 ms 8184 KB Output is correct
24 Correct 10 ms 8184 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 8184 KB Output is correct
2 Correct 9 ms 8188 KB Output is correct
3 Correct 10 ms 8184 KB Output is correct
4 Correct 10 ms 8184 KB Output is correct
5 Correct 10 ms 8184 KB Output is correct
6 Correct 10 ms 8184 KB Output is correct
7 Correct 10 ms 8184 KB Output is correct
8 Correct 10 ms 8188 KB Output is correct
9 Correct 10 ms 8160 KB Output is correct
10 Correct 10 ms 8184 KB Output is correct
11 Correct 10 ms 8184 KB Output is correct
12 Correct 10 ms 8184 KB Output is correct
13 Correct 10 ms 8204 KB Output is correct
14 Correct 10 ms 8184 KB Output is correct
15 Correct 10 ms 8184 KB Output is correct
16 Correct 10 ms 8184 KB Output is correct
17 Correct 10 ms 8176 KB Output is correct
18 Correct 10 ms 8184 KB Output is correct
19 Correct 10 ms 8184 KB Output is correct
20 Correct 10 ms 8184 KB Output is correct
21 Correct 10 ms 8184 KB Output is correct
22 Correct 10 ms 8184 KB Output is correct
23 Correct 10 ms 8184 KB Output is correct
24 Correct 10 ms 8184 KB Output is correct
25 Correct 10 ms 8184 KB Output is correct
26 Correct 14 ms 8696 KB Output is correct
27 Correct 14 ms 8696 KB Output is correct
28 Correct 15 ms 8824 KB Output is correct
29 Correct 14 ms 8828 KB Output is correct
30 Correct 14 ms 8696 KB Output is correct
31 Correct 10 ms 8184 KB Output is correct
32 Correct 14 ms 8824 KB Output is correct
33 Correct 11 ms 8184 KB Output is correct
34 Correct 13 ms 8700 KB Output is correct
35 Correct 15 ms 8824 KB Output is correct
36 Correct 14 ms 8696 KB Output is correct
37 Correct 14 ms 8696 KB Output is correct
38 Correct 10 ms 8184 KB Output is correct
39 Correct 14 ms 8696 KB Output is correct
40 Correct 14 ms 8696 KB Output is correct
41 Correct 13 ms 8696 KB Output is correct
42 Correct 14 ms 8696 KB Output is correct
43 Correct 14 ms 8828 KB Output is correct
44 Correct 10 ms 8184 KB Output is correct
45 Correct 15 ms 8824 KB Output is correct
46 Correct 14 ms 8696 KB Output is correct
47 Correct 11 ms 8184 KB Output is correct
48 Correct 14 ms 8696 KB Output is correct
49 Correct 14 ms 8824 KB Output is correct
50 Correct 15 ms 8824 KB Output is correct
51 Correct 14 ms 8696 KB Output is correct
52 Correct 13 ms 8696 KB Output is correct
53 Correct 14 ms 8696 KB Output is correct
54 Correct 14 ms 8696 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 8184 KB Output is correct
2 Correct 9 ms 8188 KB Output is correct
3 Correct 10 ms 8184 KB Output is correct
4 Correct 10 ms 8184 KB Output is correct
5 Correct 10 ms 8184 KB Output is correct
6 Correct 10 ms 8184 KB Output is correct
7 Correct 10 ms 8184 KB Output is correct
8 Correct 10 ms 8188 KB Output is correct
9 Correct 10 ms 8160 KB Output is correct
10 Correct 10 ms 8184 KB Output is correct
11 Correct 10 ms 8184 KB Output is correct
12 Correct 10 ms 8184 KB Output is correct
13 Correct 10 ms 8204 KB Output is correct
14 Correct 10 ms 8184 KB Output is correct
15 Correct 10 ms 8184 KB Output is correct
16 Correct 10 ms 8184 KB Output is correct
17 Correct 10 ms 8176 KB Output is correct
18 Correct 10 ms 8184 KB Output is correct
19 Correct 10 ms 8184 KB Output is correct
20 Correct 10 ms 8184 KB Output is correct
21 Correct 10 ms 8184 KB Output is correct
22 Correct 10 ms 8184 KB Output is correct
23 Correct 10 ms 8184 KB Output is correct
24 Correct 10 ms 8184 KB Output is correct
25 Correct 10 ms 8184 KB Output is correct
26 Correct 175 ms 23548 KB Output is correct
27 Correct 208 ms 23272 KB Output is correct
28 Correct 14 ms 8696 KB Output is correct
29 Correct 10 ms 8184 KB Output is correct
30 Correct 10 ms 8184 KB Output is correct
31 Correct 207 ms 23156 KB Output is correct
32 Correct 13 ms 8696 KB Output is correct
33 Correct 255 ms 28880 KB Output is correct
34 Correct 205 ms 23308 KB Output is correct
35 Correct 14 ms 8696 KB Output is correct
36 Correct 220 ms 23676 KB Output is correct
37 Correct 14 ms 8696 KB Output is correct
38 Correct 15 ms 8696 KB Output is correct
39 Correct 177 ms 23544 KB Output is correct
40 Correct 14 ms 8824 KB Output is correct
41 Correct 194 ms 23024 KB Output is correct
42 Correct 267 ms 25064 KB Output is correct
43 Correct 10 ms 8184 KB Output is correct
44 Correct 243 ms 29016 KB Output is correct
45 Correct 236 ms 26240 KB Output is correct
46 Correct 14 ms 8696 KB Output is correct
47 Correct 14 ms 8696 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 171 ms 22140 KB Output is correct
2 Correct 198 ms 27368 KB Output is correct
3 Correct 14 ms 8696 KB Output is correct
4 Correct 14 ms 8696 KB Output is correct
5 Correct 10 ms 8184 KB Output is correct
6 Correct 10 ms 8184 KB Output is correct
7 Correct 14 ms 8700 KB Output is correct
8 Correct 230 ms 24808 KB Output is correct
9 Correct 14 ms 8696 KB Output is correct
10 Correct 206 ms 23412 KB Output is correct
11 Correct 10 ms 8312 KB Output is correct
12 Correct 226 ms 23272 KB Output is correct
13 Correct 234 ms 24940 KB Output is correct
14 Correct 224 ms 28536 KB Output is correct
15 Correct 167 ms 23416 KB Output is correct
16 Correct 14 ms 8696 KB Output is correct
17 Correct 10 ms 8184 KB Output is correct
18 Correct 203 ms 28268 KB Output is correct
19 Correct 241 ms 31480 KB Output is correct
20 Correct 14 ms 8696 KB Output is correct
21 Correct 10 ms 8184 KB Output is correct
22 Correct 189 ms 25128 KB Output is correct
23 Correct 14 ms 8696 KB Output is correct
24 Correct 225 ms 23788 KB Output is correct
25 Correct 234 ms 30456 KB Output is correct
26 Correct 15 ms 8824 KB Output is correct
27 Correct 14 ms 8824 KB Output is correct
28 Correct 14 ms 8696 KB Output is correct
29 Correct 14 ms 8696 KB Output is correct
30 Correct 14 ms 8696 KB Output is correct

Subtask #5
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 8184 KB Output is correct
2 Correct 9 ms 8188 KB Output is correct
3 Correct 10 ms 8184 KB Output is correct
4 Correct 10 ms 8184 KB Output is correct
5 Correct 10 ms 8184 KB Output is correct
6 Correct 10 ms 8184 KB Output is correct
7 Correct 10 ms 8184 KB Output is correct
8 Correct 10 ms 8188 KB Output is correct
9 Correct 10 ms 8160 KB Output is correct
10 Correct 10 ms 8184 KB Output is correct
11 Correct 10 ms 8184 KB Output is correct
12 Correct 10 ms 8184 KB Output is correct
13 Correct 10 ms 8204 KB Output is correct
14 Correct 10 ms 8184 KB Output is correct
15 Correct 10 ms 8184 KB Output is correct
16 Correct 10 ms 8184 KB Output is correct
17 Correct 10 ms 8176 KB Output is correct
18 Correct 10 ms 8184 KB Output is correct
19 Correct 10 ms 8184 KB Output is correct
20 Correct 10 ms 8184 KB Output is correct
21 Correct 10 ms 8184 KB Output is correct
22 Correct 10 ms 8184 KB Output is correct
23 Correct 10 ms 8184 KB Output is correct
24 Correct 10 ms 8184 KB Output is correct
25 Correct 10 ms 8184 KB Output is correct
26 Correct 14 ms 8696 KB Output is correct
27 Correct 14 ms 8696 KB Output is correct
28 Correct 15 ms 8824 KB Output is correct
29 Correct 14 ms 8828 KB Output is correct
30 Correct 14 ms 8696 KB Output is correct
31 Correct 10 ms 8184 KB Output is correct
32 Correct 14 ms 8824 KB Output is correct
33 Correct 11 ms 8184 KB Output is correct
34 Correct 13 ms 8700 KB Output is correct
35 Correct 15 ms 8824 KB Output is correct
36 Correct 14 ms 8696 KB Output is correct
37 Correct 14 ms 8696 KB Output is correct
38 Correct 10 ms 8184 KB Output is correct
39 Correct 14 ms 8696 KB Output is correct
40 Correct 14 ms 8696 KB Output is correct
41 Correct 13 ms 8696 KB Output is correct
42 Correct 14 ms 8696 KB Output is correct
43 Correct 14 ms 8828 KB Output is correct
44 Correct 10 ms 8184 KB Output is correct
45 Correct 15 ms 8824 KB Output is correct
46 Correct 14 ms 8696 KB Output is correct
47 Correct 11 ms 8184 KB Output is correct
48 Correct 14 ms 8696 KB Output is correct
49 Correct 14 ms 8824 KB Output is correct
50 Correct 15 ms 8824 KB Output is correct
51 Correct 14 ms 8696 KB Output is correct
52 Correct 13 ms 8696 KB Output is correct
53 Correct 14 ms 8696 KB Output is correct
54 Correct 14 ms 8696 KB Output is correct
55 Correct 10 ms 8184 KB Output is correct
56 Correct 175 ms 23548 KB Output is correct
57 Correct 208 ms 23272 KB Output is correct
58 Correct 14 ms 8696 KB Output is correct
59 Correct 10 ms 8184 KB Output is correct
60 Correct 10 ms 8184 KB Output is correct
61 Correct 207 ms 23156 KB Output is correct
62 Correct 13 ms 8696 KB Output is correct
63 Correct 255 ms 28880 KB Output is correct
64 Correct 205 ms 23308 KB Output is correct
65 Correct 14 ms 8696 KB Output is correct
66 Correct 220 ms 23676 KB Output is correct
67 Correct 14 ms 8696 KB Output is correct
68 Correct 15 ms 8696 KB Output is correct
69 Correct 177 ms 23544 KB Output is correct
70 Correct 14 ms 8824 KB Output is correct
71 Correct 194 ms 23024 KB Output is correct
72 Correct 267 ms 25064 KB Output is correct
73 Correct 10 ms 8184 KB Output is correct
74 Correct 243 ms 29016 KB Output is correct
75 Correct 236 ms 26240 KB Output is correct
76 Correct 14 ms 8696 KB Output is correct
77 Correct 14 ms 8696 KB Output is correct
78 Correct 171 ms 22140 KB Output is correct
79 Correct 198 ms 27368 KB Output is correct
80 Correct 14 ms 8696 KB Output is correct
81 Correct 14 ms 8696 KB Output is correct
82 Correct 10 ms 8184 KB Output is correct
83 Correct 10 ms 8184 KB Output is correct
84 Correct 14 ms 8700 KB Output is correct
85 Correct 230 ms 24808 KB Output is correct
86 Correct 14 ms 8696 KB Output is correct
87 Correct 206 ms 23412 KB Output is correct
88 Correct 10 ms 8312 KB Output is correct
89 Correct 226 ms 23272 KB Output is correct
90 Correct 234 ms 24940 KB Output is correct
91 Correct 224 ms 28536 KB Output is correct
92 Correct 167 ms 23416 KB Output is correct
93 Correct 14 ms 8696 KB Output is correct
94 Correct 10 ms 8184 KB Output is correct
95 Correct 203 ms 28268 KB Output is correct
96 Correct 241 ms 31480 KB Output is correct
97 Correct 14 ms 8696 KB Output is correct
98 Correct 10 ms 8184 KB Output is correct
99 Correct 189 ms 25128 KB Output is correct
100 Correct 14 ms 8696 KB Output is correct
101 Correct 225 ms 23788 KB Output is correct
102 Correct 234 ms 30456 KB Output is correct
103 Correct 15 ms 8824 KB Output is correct
104 Correct 14 ms 8824 KB Output is correct
105 Correct 14 ms 8696 KB Output is correct
106 Correct 14 ms 8696 KB Output is correct
107 Correct 14 ms 8696 KB Output is correct
108 Runtime error 17 ms 14712 KB Execution killed with signal 11 (could be triggered by violating memory limits)
109 Halted 0 ms 0 KB -