oj.uz

Submission #402373

# Submission time Handle Problem Language Result Execution time Memory
402373 2021-05-11T16:05:37 Z jhnah917 Unique Cities (JOI19_ho_t5) C++14
68 / 100
 1719 ms 46000 KB 
#include <bits/stdc++.h>
#define x first
#define y second
using namespace std;

using PII = pair<int,int>;
constexpr int SZ = 1 << 18;

int N, M, C[SZ], R[SZ];
vector<int> G[SZ];

int D[2020], SR[2020], Use[2020];
int BFS(int st){
    memset(SR, 0, sizeof SR);
    memset(D, -1, sizeof D);
    memset(Use, 0, sizeof Use);
    queue<int> Q; Q.push(st); D[st] = 0;
    while(Q.size()){
        int v = Q.front(); Q.pop();
        if(!SR[D[v]]) SR[D[v]] = C[v];
        else SR[D[v]] = -1;
        for(auto i : G[v]) if(D[i] == -1) Q.push(i), D[i] = D[v] + 1;
    }
    for(int i=1; i<=N; i++) if(SR[i] > 0) Use[SR[i]] = 1;
    return accumulate(Use+1, Use+M+1, 0);
}

void Naive(){
    for(int i=1; i<=N; i++) cout << BFS(i) << "\n";
}

PII T[SZ << 1]; int L[SZ << 1];
PII Merge(const PII &l, const PII &r){
    return l.x == r.x ? PII(l.x, l.y + r.y) : min(l, r);
}
void Push(int node, int s, int e){
    T[node].x += L[node];
    if(s != e) L[node<<1] += L[node], L[node<<1|1] += L[node];
    L[node] = 0;
}
void Init(int node=1, int s=1, int e=N){
    L[node] = 0;
    if(s == e){ T[node] = {0, 1}; return; }
    int m = s + e >> 1;
    Init(node<<1, s, m);
    Init(node<<1|1, m+1, e);
    T[node] = Merge(T[node<<1], T[node<<1|1]);
}
void Update(int l, int r, int v, int node=1, int s=1, int e=N){
    Push(node, s, e);
    if(r < s || e < l) return;
    if(l <= s && e <= r){ L[node] += v; Push(node, s, e); return; }
    int m = s + e >> 1;
    Update(l, r, v, node<<1, s, m);
    Update(l, r, v, node<<1|1, m+1, e);
    T[node] = Merge(T[node<<1], T[node<<1|1]);
}
PII Query(int l, int r, int node=1, int s=1, int e=N){
    Push(node, s, e);
    if(r < s || e < l) return T[0];
    if(l <= s && e <= r) return T[node];
    int m = s + e >> 1;
    return Merge(Query(l, r, node<<1, s, m), Query(l, r, node<<1|1, m+1, e));
}

PII Diameter(int root=1){
    function<PII(int,int,int)> dfs_far = [&dfs_far](int v, int b, int d){
        PII ret(d, v);
        for(auto i : G[v]) if(i != b) ret = max(ret, dfs_far(i, v, d+1));
        return ret;
    };
    int t1 = dfs_far(root, -1, 0).y;
    int t2 = dfs_far(t1, -1, 0).y;
    return {t1, t2};
}

int Dep[SZ]; PII Sub[SZ];
void dfs_info(int v, int b=-1){
    Sub[v] = {0, v};
    for(auto i : G[v]){
        if(i == b) continue;
        Dep[i] = Dep[v] + 1;
        dfs_info(i, v);
        Sub[v] = max(Sub[v], PII(Sub[i].x+1, Sub[i].y));
    }
}
void dfs_calc(int v, int b=-1){
    auto [mn,cnt] = Query(1, Dep[v]-Sub[v].x-1);
    if(mn == 0) R[v] = max(R[v], cnt);
    for(auto i : G[v]){
        if(i == b) continue;
        Update(Dep[v]-Sub[i].x-1, Dep[v]-1, +1);
    }
    for(auto i : G[v]){
        if(i == b) continue;
        Update(Dep[v]-Sub[i].x-1, Dep[v]-1, -1);
        dfs_calc(i, v);
        Update(Dep[v]-Sub[i].x-1, Dep[v]-1, +1);
    }
    for(auto i : G[v]){
        if(i == b) continue;
        Update(Dep[v]-Sub[i].x-1, Dep[v]-1, -1);
    }
}
void Solve(int st){
    Dep[st] = 1;
    dfs_info(st);
    Init();
    dfs_calc(st);
}

int main(){
    ios_base::sync_with_stdio(false); cin.tie(nullptr);
    cin >> N >> M;
    for(int i=1,s,e; i<N; i++) cin >> s >> e, G[s].push_back(e), G[e].push_back(s);
    for(int i=1; i<=N; i++) cin >> C[i];
    if(N <= 2000){ Naive(); return 0; }
    auto [u,v] = Diameter();

    Solve(u); Solve(v);
    for(int i=1; i<=N; i++) cout << min(R[i], M) << "\n";
}

Compilation message

joi2019_ho_t5.cpp: In function 'void Init(int, int, int)':
joi2019_ho_t5.cpp:44:15: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   44 |     int m = s + e >> 1;
      |             ~~^~~
joi2019_ho_t5.cpp: In function 'void Update(int, int, int, int, int, int)':
joi2019_ho_t5.cpp:53:15: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   53 |     int m = s + e >> 1;
      |             ~~^~~
joi2019_ho_t5.cpp: In function 'PII Query(int, int, int, int, int)':
joi2019_ho_t5.cpp:62:15: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   62 |     int m = s + e >> 1;
      |             ~~^~~
joi2019_ho_t5.cpp: In function 'void dfs_calc(int, int)':
joi2019_ho_t5.cpp:88:10: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   88 |     auto [mn,cnt] = Query(1, Dep[v]-Sub[v].x-1);
      |          ^
joi2019_ho_t5.cpp: In function 'int main()':
joi2019_ho_t5.cpp:118:10: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
  118 |     auto [u,v] = Diameter();
      |          ^

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 6476 KB Output is correct
2 Correct 99 ms 6560 KB Output is correct
3 Correct 33 ms 6536 KB Output is correct
4 Correct 101 ms 6584 KB Output is correct
5 Correct 115 ms 6728 KB Output is correct
6 Correct 125 ms 6604 KB Output is correct
7 Correct 122 ms 6604 KB Output is correct
8 Correct 107 ms 6604 KB Output is correct
9 Correct 122 ms 6604 KB Output is correct
10 Correct 123 ms 6596 KB Output is correct
11 Correct 118 ms 6604 KB Output is correct
12 Correct 80 ms 6608 KB Output is correct
13 Correct 125 ms 6604 KB Output is correct
14 Correct 122 ms 6604 KB Output is correct
15 Correct 123 ms 6604 KB Output is correct
16 Correct 80 ms 6728 KB Output is correct
17 Correct 108 ms 6604 KB Output is correct
18 Correct 111 ms 6500 KB Output is correct
19 Correct 116 ms 6504 KB Output is correct
20 Correct 122 ms 6596 KB Output is correct
21 Correct 124 ms 6604 KB Output is correct
22 Correct 111 ms 6532 KB Output is correct
23 Correct 128 ms 6604 KB Output is correct
24 Correct 119 ms 6500 KB Output is correct
25 Correct 123 ms 6620 KB Output is correct
26 Correct 84 ms 6632 KB Output is correct
27 Correct 136 ms 6604 KB Output is correct
28 Correct 117 ms 6604 KB Output is correct
29 Correct 120 ms 6604 KB Output is correct
30 Correct 80 ms 6736 KB Output is correct
31 Correct 109 ms 6500 KB Output is correct
32 Correct 112 ms 6604 KB Output is correct

Subtask #2
32.0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 662 ms 15648 KB Output is correct
2 Correct 825 ms 28124 KB Output is correct
3 Correct 154 ms 10280 KB Output is correct
4 Correct 1255 ms 23324 KB Output is correct
5 Correct 1719 ms 45108 KB Output is correct
6 Correct 1607 ms 34088 KB Output is correct
7 Correct 1183 ms 23360 KB Output is correct
8 Correct 1259 ms 25540 KB Output is correct
9 Correct 1276 ms 24832 KB Output is correct
10 Correct 1262 ms 24740 KB Output is correct
11 Correct 1153 ms 23928 KB Output is correct
12 Correct 1522 ms 36888 KB Output is correct
13 Correct 1366 ms 34004 KB Output is correct
14 Correct 1508 ms 33272 KB Output is correct
15 Correct 1049 ms 23988 KB Output is correct
16 Correct 1420 ms 38064 KB Output is correct
17 Correct 1513 ms 34432 KB Output is correct

Subtask #3
32.0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 924 ms 21048 KB Output is correct
2 Correct 1542 ms 44460 KB Output is correct
3 Correct 183 ms 10696 KB Output is correct
4 Correct 1200 ms 23324 KB Output is correct
5 Correct 1631 ms 46000 KB Output is correct
6 Correct 1579 ms 34416 KB Output is correct
7 Correct 1210 ms 23376 KB Output is correct
8 Correct 1297 ms 27980 KB Output is correct
9 Correct 1244 ms 26352 KB Output is correct
10 Correct 1278 ms 25076 KB Output is correct
11 Correct 1167 ms 23672 KB Output is correct
12 Correct 1536 ms 41420 KB Output is correct
13 Correct 1356 ms 33156 KB Output is correct
14 Correct 1498 ms 33284 KB Output is correct
15 Correct 1079 ms 23984 KB Output is correct
16 Correct 1429 ms 38584 KB Output is correct
17 Correct 1517 ms 34596 KB Output is correct

Subtask #4
0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 6476 KB Output is correct
2 Correct 99 ms 6560 KB Output is correct
3 Correct 33 ms 6536 KB Output is correct
4 Correct 101 ms 6584 KB Output is correct
5 Correct 115 ms 6728 KB Output is correct
6 Correct 125 ms 6604 KB Output is correct
7 Correct 122 ms 6604 KB Output is correct
8 Correct 107 ms 6604 KB Output is correct
9 Correct 122 ms 6604 KB Output is correct
10 Correct 123 ms 6596 KB Output is correct
11 Correct 118 ms 6604 KB Output is correct
12 Correct 80 ms 6608 KB Output is correct
13 Correct 125 ms 6604 KB Output is correct
14 Correct 122 ms 6604 KB Output is correct
15 Correct 123 ms 6604 KB Output is correct
16 Correct 80 ms 6728 KB Output is correct
17 Correct 108 ms 6604 KB Output is correct
18 Correct 111 ms 6500 KB Output is correct
19 Correct 116 ms 6504 KB Output is correct
20 Correct 122 ms 6596 KB Output is correct
21 Correct 124 ms 6604 KB Output is correct
22 Correct 111 ms 6532 KB Output is correct
23 Correct 128 ms 6604 KB Output is correct
24 Correct 119 ms 6500 KB Output is correct
25 Correct 123 ms 6620 KB Output is correct
26 Correct 84 ms 6632 KB Output is correct
27 Correct 136 ms 6604 KB Output is correct
28 Correct 117 ms 6604 KB Output is correct
29 Correct 120 ms 6604 KB Output is correct
30 Correct 80 ms 6736 KB Output is correct
31 Correct 109 ms 6500 KB Output is correct
32 Correct 112 ms 6604 KB Output is correct
33 Correct 662 ms 15648 KB Output is correct
34 Correct 825 ms 28124 KB Output is correct
35 Correct 154 ms 10280 KB Output is correct
36 Correct 1255 ms 23324 KB Output is correct
37 Correct 1719 ms 45108 KB Output is correct
38 Correct 1607 ms 34088 KB Output is correct
39 Correct 1183 ms 23360 KB Output is correct
40 Correct 1259 ms 25540 KB Output is correct
41 Correct 1276 ms 24832 KB Output is correct
42 Correct 1262 ms 24740 KB Output is correct
43 Correct 1153 ms 23928 KB Output is correct
44 Correct 1522 ms 36888 KB Output is correct
45 Correct 1366 ms 34004 KB Output is correct
46 Correct 1508 ms 33272 KB Output is correct
47 Correct 1049 ms 23988 KB Output is correct
48 Correct 1420 ms 38064 KB Output is correct
49 Correct 1513 ms 34432 KB Output is correct
50 Correct 924 ms 21048 KB Output is correct
51 Correct 1542 ms 44460 KB Output is correct
52 Correct 183 ms 10696 KB Output is correct
53 Correct 1200 ms 23324 KB Output is correct
54 Correct 1631 ms 46000 KB Output is correct
55 Correct 1579 ms 34416 KB Output is correct
56 Correct 1210 ms 23376 KB Output is correct
57 Correct 1297 ms 27980 KB Output is correct
58 Correct 1244 ms 26352 KB Output is correct
59 Correct 1278 ms 25076 KB Output is correct
60 Correct 1167 ms 23672 KB Output is correct
61 Correct 1536 ms 41420 KB Output is correct
62 Correct 1356 ms 33156 KB Output is correct
63 Correct 1498 ms 33284 KB Output is correct
64 Correct 1079 ms 23984 KB Output is correct
65 Correct 1429 ms 38584 KB Output is correct
66 Correct 1517 ms 34596 KB Output is correct
67 Incorrect 120 ms 9108 KB Output isn't correct
68 Halted 0 ms 0 KB -