oj.uz

Submission #225987

# Submission time Handle Problem Language Result Execution time Memory
225987 2020-04-22T08:48:55 Z PeppaPig Capital City (JOI20_capital_city) C++14
100 / 100
 1240 ms 44792 KB 
#include <bits/stdc++.h>

using namespace std;

const int N = 2e5+5;

int n, k, ans = 1e9;
int C[N], cnt[N];
vector<int> g[N];

int sz[N];
bitset<N> chk;

int get_sz(int u, int p) {
    sz[u] = 1;
    for(int v : g[u]) if(v != p && !chk[v])
        sz[u] += get_sz(v, u);
    return sz[u];
}

int find_cen(int u, int p, int all, int &ret) {
    int mx = all - sz[u];
    for(int v : g[u]) if(v != p && !chk[v])
        mx = max(mx, find_cen(v, u, all, ret));
    if(mx <= (all + 1) / 2) ret = u;
    return sz[u];
}

int par[N], used[N];
vector<int> col[N];
queue<int> Q;

void dfs(int u, int p, bool fill) {
    if(fill) col[C[u]].emplace_back(u), par[u] = p;
    else col[C[u]].clear(), used[C[u]] = 0;
    for(int v : g[u]) if(v != p && !chk[v])
        dfs(v, u, fill);
}

void process(int u) {
    get_sz(u, u), find_cen(u, u, sz[u], u);
    dfs(u, 0, 1);

    int ret = 1;
    bool valid = true;
    Q.emplace(C[u]), used[C[u]] = 1;
    while(!Q.empty()) {
        int now = Q.front(); Q.pop();
        if(col[now].size() != cnt[now]) { valid = false; break; }
        for(int x : col[now]) if(x != u && !used[C[par[x]]]) {
            used[C[par[x]]] = 1, ++ret;
            Q.emplace(C[par[x]]);
        }
    }
    if(valid) ans = min(ans, ret);

    dfs(u, 0, 0), chk[u] = 1;
    for(int v : g[u]) if(!chk[v]) process(v); 
}

int main() {
    scanf("%d %d", &n, &k);
    for(int i = 1, a, b; i < n; i++) {
        scanf("%d %d", &a, &b);
        g[a].emplace_back(b), g[b].emplace_back(a);
    }
    for(int i = 1; i <= n; i++) scanf("%d", C + i), ++cnt[C[i]];
    process(1);

    printf("%d\n", ans - 1);

    return 0;
}

Compilation message

capital_city.cpp: In function 'void process(int)':
capital_city.cpp:49:28: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         if(col[now].size() != cnt[now]) { valid = false; break; }
            ~~~~~~~~~~~~~~~~^~~~~~~~~~~
capital_city.cpp: In function 'int main()':
capital_city.cpp:62:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d %d", &n, &k);
     ~~~~~^~~~~~~~~~~~~~~~~
capital_city.cpp:64:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
         scanf("%d %d", &a, &b);
         ~~~~~^~~~~~~~~~~~~~~~~
capital_city.cpp:67:51: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     for(int i = 1; i <= n; i++) scanf("%d", C + i), ++cnt[C[i]];
                                 ~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 9856 KB Output is correct
2 Correct 10 ms 9728 KB Output is correct
3 Correct 10 ms 9728 KB Output is correct
4 Correct 12 ms 9728 KB Output is correct
5 Correct 10 ms 9600 KB Output is correct
6 Correct 12 ms 9728 KB Output is correct
7 Correct 10 ms 9728 KB Output is correct
8 Correct 10 ms 9728 KB Output is correct
9 Correct 10 ms 9728 KB Output is correct
10 Correct 10 ms 9728 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 9856 KB Output is correct
2 Correct 10 ms 9728 KB Output is correct
3 Correct 10 ms 9728 KB Output is correct
4 Correct 12 ms 9728 KB Output is correct
5 Correct 10 ms 9600 KB Output is correct
6 Correct 12 ms 9728 KB Output is correct
7 Correct 10 ms 9728 KB Output is correct
8 Correct 10 ms 9728 KB Output is correct
9 Correct 10 ms 9728 KB Output is correct
10 Correct 10 ms 9728 KB Output is correct
11 Correct 14 ms 9856 KB Output is correct
12 Correct 12 ms 9856 KB Output is correct
13 Correct 12 ms 9856 KB Output is correct
14 Correct 12 ms 9856 KB Output is correct
15 Correct 12 ms 9984 KB Output is correct
16 Correct 12 ms 9984 KB Output is correct
17 Correct 12 ms 9984 KB Output is correct
18 Correct 12 ms 9984 KB Output is correct
19 Correct 12 ms 9984 KB Output is correct
20 Correct 12 ms 9984 KB Output is correct
21 Correct 12 ms 9984 KB Output is correct
22 Correct 12 ms 10112 KB Output is correct
23 Correct 13 ms 9984 KB Output is correct
24 Correct 12 ms 9984 KB Output is correct
25 Correct 13 ms 9984 KB Output is correct
26 Correct 13 ms 9984 KB Output is correct
27 Correct 13 ms 9984 KB Output is correct
28 Correct 13 ms 9984 KB Output is correct
29 Correct 13 ms 9984 KB Output is correct
30 Correct 13 ms 9984 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 998 ms 44280 KB Output is correct
2 Correct 334 ms 44792 KB Output is correct
3 Correct 1041 ms 43896 KB Output is correct
4 Correct 307 ms 44664 KB Output is correct
5 Correct 992 ms 40312 KB Output is correct
6 Correct 306 ms 44792 KB Output is correct
7 Correct 1130 ms 40824 KB Output is correct
8 Correct 324 ms 44152 KB Output is correct
9 Correct 968 ms 38412 KB Output is correct
10 Correct 1084 ms 35448 KB Output is correct
11 Correct 953 ms 38908 KB Output is correct
12 Correct 1240 ms 42104 KB Output is correct
13 Correct 955 ms 35116 KB Output is correct
14 Correct 956 ms 42616 KB Output is correct
15 Correct 962 ms 41976 KB Output is correct
16 Correct 952 ms 36088 KB Output is correct
17 Correct 1086 ms 36820 KB Output is correct
18 Correct 1037 ms 36856 KB Output is correct
19 Correct 977 ms 40696 KB Output is correct
20 Correct 970 ms 43416 KB Output is correct
21 Correct 12 ms 9728 KB Output is correct

Subtask #4
59.0 / 59.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 9856 KB Output is correct
2 Correct 10 ms 9728 KB Output is correct
3 Correct 10 ms 9728 KB Output is correct
4 Correct 12 ms 9728 KB Output is correct
5 Correct 10 ms 9600 KB Output is correct
6 Correct 12 ms 9728 KB Output is correct
7 Correct 10 ms 9728 KB Output is correct
8 Correct 10 ms 9728 KB Output is correct
9 Correct 10 ms 9728 KB Output is correct
10 Correct 10 ms 9728 KB Output is correct
11 Correct 14 ms 9856 KB Output is correct
12 Correct 12 ms 9856 KB Output is correct
13 Correct 12 ms 9856 KB Output is correct
14 Correct 12 ms 9856 KB Output is correct
15 Correct 12 ms 9984 KB Output is correct
16 Correct 12 ms 9984 KB Output is correct
17 Correct 12 ms 9984 KB Output is correct
18 Correct 12 ms 9984 KB Output is correct
19 Correct 12 ms 9984 KB Output is correct
20 Correct 12 ms 9984 KB Output is correct
21 Correct 12 ms 9984 KB Output is correct
22 Correct 12 ms 10112 KB Output is correct
23 Correct 13 ms 9984 KB Output is correct
24 Correct 12 ms 9984 KB Output is correct
25 Correct 13 ms 9984 KB Output is correct
26 Correct 13 ms 9984 KB Output is correct
27 Correct 13 ms 9984 KB Output is correct
28 Correct 13 ms 9984 KB Output is correct
29 Correct 13 ms 9984 KB Output is correct
30 Correct 13 ms 9984 KB Output is correct
31 Correct 998 ms 44280 KB Output is correct
32 Correct 334 ms 44792 KB Output is correct
33 Correct 1041 ms 43896 KB Output is correct
34 Correct 307 ms 44664 KB Output is correct
35 Correct 992 ms 40312 KB Output is correct
36 Correct 306 ms 44792 KB Output is correct
37 Correct 1130 ms 40824 KB Output is correct
38 Correct 324 ms 44152 KB Output is correct
39 Correct 968 ms 38412 KB Output is correct
40 Correct 1084 ms 35448 KB Output is correct
41 Correct 953 ms 38908 KB Output is correct
42 Correct 1240 ms 42104 KB Output is correct
43 Correct 955 ms 35116 KB Output is correct
44 Correct 956 ms 42616 KB Output is correct
45 Correct 962 ms 41976 KB Output is correct
46 Correct 952 ms 36088 KB Output is correct
47 Correct 1086 ms 36820 KB Output is correct
48 Correct 1037 ms 36856 KB Output is correct
49 Correct 977 ms 40696 KB Output is correct
50 Correct 970 ms 43416 KB Output is correct
51 Correct 12 ms 9728 KB Output is correct
52 Correct 606 ms 23804 KB Output is correct
53 Correct 703 ms 23800 KB Output is correct
54 Correct 728 ms 23928 KB Output is correct
55 Correct 763 ms 24004 KB Output is correct
56 Correct 695 ms 23804 KB Output is correct
57 Correct 680 ms 23928 KB Output is correct
58 Correct 644 ms 28664 KB Output is correct
59 Correct 694 ms 29048 KB Output is correct
60 Correct 827 ms 28024 KB Output is correct
61 Correct 1018 ms 27768 KB Output is correct
62 Correct 301 ms 44664 KB Output is correct
63 Correct 312 ms 44768 KB Output is correct
64 Correct 301 ms 44408 KB Output is correct
65 Correct 311 ms 44664 KB Output is correct
66 Correct 564 ms 34928 KB Output is correct
67 Correct 534 ms 34544 KB Output is correct
68 Correct 473 ms 34544 KB Output is correct
69 Correct 504 ms 34672 KB Output is correct
70 Correct 477 ms 34544 KB Output is correct
71 Correct 460 ms 34544 KB Output is correct
72 Correct 533 ms 34672 KB Output is correct
73 Correct 472 ms 33520 KB Output is correct
74 Correct 482 ms 34764 KB Output is correct
75 Correct 482 ms 34672 KB Output is correct
76 Correct 798 ms 33016 KB Output is correct
77 Correct 699 ms 30456 KB Output is correct
78 Correct 959 ms 36600 KB Output is correct
79 Correct 1175 ms 34424 KB Output is correct
80 Correct 998 ms 42872 KB Output is correct
81 Correct 1048 ms 38524 KB Output is correct
82 Correct 1093 ms 38904 KB Output is correct
83 Correct 1054 ms 34664 KB Output is correct
84 Correct 1002 ms 41848 KB Output is correct
85 Correct 935 ms 39800 KB Output is correct
86 Correct 955 ms 34192 KB Output is correct
87 Correct 949 ms 36344 KB Output is correct
88 Correct 839 ms 37624 KB Output is correct
89 Correct 844 ms 33020 KB Output is correct
90 Correct 989 ms 32760 KB Output is correct
91 Correct 837 ms 35608 KB Output is correct
92 Correct 851 ms 33784 KB Output is correct
93 Correct 833 ms 33528 KB Output is correct
94 Correct 835 ms 32888 KB Output is correct
95 Correct 864 ms 34680 KB Output is correct
96 Correct 822 ms 32892 KB Output is correct
97 Correct 875 ms 35576 KB Output is correct