oj.uz

Submission #534333

# Submission time Handle Problem Language Result Execution time Memory
534333 2022-03-08T05:07:38 Z 79brue Mergers (JOI19_mergers) C++14
100 / 100
 1190 ms 155608 KB 
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;

struct UnionFind{
    int par[500002];

    void init(int n){
        for(int i=1; i<=n; i++) par[i] = i;
    }

    int find(int x){
        return x==par[x] ? x : (par[x] = find(par[x]));
    }

    void merge(int x, int y){
        x = find(x), y = find(y);
        par[x] = y;
    }
} dsu;

int n, k;
int arr[500002];
vector<int> link[500002];
int deg[500002], leafCnt;

int in[500002], inCnt;
int par[500002], depth[500002];
int LCADB[500002][20];
vector<int> vec[500002];
int sum[500002];

void dfs(int x, int p=-1){
    in[x] = ++inCnt;
    vec[arr[x]].push_back(x);

    for(auto y: link[x]){
        if(y == p) continue;
        par[y] = LCADB[y][0] = x;
        depth[y] = depth[x]+1;
        dfs(y, x);
    }
}

void dfs2(int x, int p=-1){
    for(auto y: link[x]){
        if(y == p) continue;
        dfs2(y, x);
        sum[in[x]] += sum[in[y]];
    }
    if(sum[in[x]]){
        dsu.merge(x, p);
    }
}

int getLCA(int x, int y){
    if(depth[x] < depth[y]) swap(x, y);
    for(int d=0; d<20; d++) if((depth[x]-depth[y])&(1<<d)) x=LCADB[x][d];
    if(x==y) return x;
    for(int d=19; d>=0; d--) if(LCADB[x][d] != LCADB[y][d]) x = LCADB[x][d], y = LCADB[y][d];
    return par[x];
}

int main(){
    scanf("%d %d", &n, &k);
    dsu.init(n);
    for(int i=1; i<n; i++){
        int x, y;
        scanf("%d %d", &x, &y);
        link[x].push_back(y);
        link[y].push_back(x);
    }
    for(int i=1; i<=n; i++) scanf("%d", &arr[i]);

    dfs(1);
    for(int d=1; d<20; d++) for(int i=1; i<=n; i++) LCADB[i][d] = LCADB[LCADB[i][d-1]][d-1];

    for(int i=1; i<=k; i++){
        sort(vec[i].begin(), vec[i].end(), [&](int x, int y){
            return in[x] < in[y];
        });
        if(!vec[i].empty()) vec[i].push_back(vec[i][0]);
        for(int j=0; j<(int)vec[i].size()-1; j++){
            int x = vec[i][j], y = vec[i][j+1], z = getLCA(x, y);
            sum[in[x]]++, sum[in[y]]++, sum[in[z]]-=2;
        }
    }

    dfs2(1);
    for(int i=1; i<=n; i++){
        for(auto j: link[i]){
            if(dsu.find(i) != dsu.find(j)) deg[dsu.find(i)]++;
        }
    }
    for(int i=1; i<=n; i++) if(deg[i] == 1) leafCnt++;
    printf("%d\n", (leafCnt + 1) / 2);
}

Compilation message

mergers.cpp: In function 'int main()':
mergers.cpp:67:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   67 |     scanf("%d %d", &n, &k);
      |     ~~~~~^~~~~~~~~~~~~~~~~
mergers.cpp:71:14: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   71 |         scanf("%d %d", &x, &y);
      |         ~~~~~^~~~~~~~~~~~~~~~~
mergers.cpp:75:34: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   75 |     for(int i=1; i<=n; i++) scanf("%d", &arr[i]);
      |                             ~~~~~^~~~~~~~~~~~~~~

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 23756 KB Output is correct
2 Correct 13 ms 23756 KB Output is correct
3 Correct 12 ms 23756 KB Output is correct
4 Correct 13 ms 23820 KB Output is correct
5 Correct 14 ms 23808 KB Output is correct
6 Correct 12 ms 23756 KB Output is correct
7 Correct 13 ms 23756 KB Output is correct
8 Correct 17 ms 23800 KB Output is correct
9 Correct 13 ms 23800 KB Output is correct
10 Correct 16 ms 23756 KB Output is correct
11 Correct 14 ms 23784 KB Output is correct
12 Correct 12 ms 23796 KB Output is correct
13 Correct 13 ms 23760 KB Output is correct
14 Correct 12 ms 23748 KB Output is correct
15 Correct 12 ms 23756 KB Output is correct
16 Correct 12 ms 23756 KB Output is correct
17 Correct 14 ms 23788 KB Output is correct
18 Correct 13 ms 23756 KB Output is correct
19 Correct 12 ms 23800 KB Output is correct
20 Correct 13 ms 23756 KB Output is correct
21 Correct 16 ms 23756 KB Output is correct
22 Correct 13 ms 23824 KB Output is correct
23 Correct 16 ms 23804 KB Output is correct
24 Correct 12 ms 23756 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 23756 KB Output is correct
2 Correct 13 ms 23756 KB Output is correct
3 Correct 12 ms 23756 KB Output is correct
4 Correct 13 ms 23820 KB Output is correct
5 Correct 14 ms 23808 KB Output is correct
6 Correct 12 ms 23756 KB Output is correct
7 Correct 13 ms 23756 KB Output is correct
8 Correct 17 ms 23800 KB Output is correct
9 Correct 13 ms 23800 KB Output is correct
10 Correct 16 ms 23756 KB Output is correct
11 Correct 14 ms 23784 KB Output is correct
12 Correct 12 ms 23796 KB Output is correct
13 Correct 13 ms 23760 KB Output is correct
14 Correct 12 ms 23748 KB Output is correct
15 Correct 12 ms 23756 KB Output is correct
16 Correct 12 ms 23756 KB Output is correct
17 Correct 14 ms 23788 KB Output is correct
18 Correct 13 ms 23756 KB Output is correct
19 Correct 12 ms 23800 KB Output is correct
20 Correct 13 ms 23756 KB Output is correct
21 Correct 16 ms 23756 KB Output is correct
22 Correct 13 ms 23824 KB Output is correct
23 Correct 16 ms 23804 KB Output is correct
24 Correct 12 ms 23756 KB Output is correct
25 Correct 13 ms 23852 KB Output is correct
26 Correct 16 ms 24304 KB Output is correct
27 Correct 15 ms 24320 KB Output is correct
28 Correct 15 ms 24488 KB Output is correct
29 Correct 15 ms 24268 KB Output is correct
30 Correct 15 ms 24292 KB Output is correct
31 Correct 13 ms 23792 KB Output is correct
32 Correct 16 ms 24576 KB Output is correct
33 Correct 13 ms 23804 KB Output is correct
34 Correct 15 ms 24288 KB Output is correct
35 Correct 16 ms 24384 KB Output is correct
36 Correct 15 ms 24260 KB Output is correct
37 Correct 15 ms 24332 KB Output is correct
38 Correct 13 ms 23928 KB Output is correct
39 Correct 16 ms 24332 KB Output is correct
40 Correct 20 ms 24220 KB Output is correct
41 Correct 16 ms 24184 KB Output is correct
42 Correct 15 ms 24268 KB Output is correct
43 Correct 18 ms 24540 KB Output is correct
44 Correct 12 ms 23756 KB Output is correct
45 Correct 16 ms 24396 KB Output is correct
46 Correct 18 ms 24324 KB Output is correct
47 Correct 16 ms 23832 KB Output is correct
48 Correct 15 ms 24268 KB Output is correct
49 Correct 17 ms 24324 KB Output is correct
50 Correct 16 ms 24396 KB Output is correct
51 Correct 15 ms 24264 KB Output is correct
52 Correct 15 ms 24268 KB Output is correct
53 Correct 15 ms 24268 KB Output is correct
54 Correct 15 ms 24164 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 23756 KB Output is correct
2 Correct 13 ms 23756 KB Output is correct
3 Correct 12 ms 23756 KB Output is correct
4 Correct 13 ms 23820 KB Output is correct
5 Correct 14 ms 23808 KB Output is correct
6 Correct 12 ms 23756 KB Output is correct
7 Correct 13 ms 23756 KB Output is correct
8 Correct 17 ms 23800 KB Output is correct
9 Correct 13 ms 23800 KB Output is correct
10 Correct 16 ms 23756 KB Output is correct
11 Correct 14 ms 23784 KB Output is correct
12 Correct 12 ms 23796 KB Output is correct
13 Correct 13 ms 23760 KB Output is correct
14 Correct 12 ms 23748 KB Output is correct
15 Correct 12 ms 23756 KB Output is correct
16 Correct 12 ms 23756 KB Output is correct
17 Correct 14 ms 23788 KB Output is correct
18 Correct 13 ms 23756 KB Output is correct
19 Correct 12 ms 23800 KB Output is correct
20 Correct 13 ms 23756 KB Output is correct
21 Correct 16 ms 23756 KB Output is correct
22 Correct 13 ms 23824 KB Output is correct
23 Correct 16 ms 23804 KB Output is correct
24 Correct 12 ms 23756 KB Output is correct
25 Correct 12 ms 23756 KB Output is correct
26 Correct 115 ms 39532 KB Output is correct
27 Correct 129 ms 39168 KB Output is correct
28 Correct 18 ms 24292 KB Output is correct
29 Correct 15 ms 23724 KB Output is correct
30 Correct 16 ms 23800 KB Output is correct
31 Correct 120 ms 39188 KB Output is correct
32 Correct 18 ms 24268 KB Output is correct
33 Correct 138 ms 50668 KB Output is correct
34 Correct 178 ms 39152 KB Output is correct
35 Correct 16 ms 24268 KB Output is correct
36 Correct 138 ms 40432 KB Output is correct
37 Correct 20 ms 24232 KB Output is correct
38 Correct 14 ms 24196 KB Output is correct
39 Correct 99 ms 39420 KB Output is correct
40 Correct 14 ms 24652 KB Output is correct
41 Correct 112 ms 39004 KB Output is correct
42 Correct 178 ms 42900 KB Output is correct
43 Correct 14 ms 23756 KB Output is correct
44 Correct 150 ms 51048 KB Output is correct
45 Correct 163 ms 45144 KB Output is correct
46 Correct 17 ms 24196 KB Output is correct
47 Correct 14 ms 24268 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 160 ms 38520 KB Output is correct
2 Correct 142 ms 41504 KB Output is correct
3 Correct 20 ms 24292 KB Output is correct
4 Correct 19 ms 24188 KB Output is correct
5 Correct 17 ms 23796 KB Output is correct
6 Correct 15 ms 23756 KB Output is correct
7 Correct 15 ms 24200 KB Output is correct
8 Correct 182 ms 41024 KB Output is correct
9 Correct 16 ms 24200 KB Output is correct
10 Correct 137 ms 39664 KB Output is correct
11 Correct 14 ms 23788 KB Output is correct
12 Correct 128 ms 39636 KB Output is correct
13 Correct 141 ms 40888 KB Output is correct
14 Correct 136 ms 42440 KB Output is correct
15 Correct 110 ms 39456 KB Output is correct
16 Correct 17 ms 24232 KB Output is correct
17 Correct 13 ms 23756 KB Output is correct
18 Correct 114 ms 42476 KB Output is correct
19 Correct 148 ms 48708 KB Output is correct
20 Correct 15 ms 24268 KB Output is correct
21 Correct 14 ms 23800 KB Output is correct
22 Correct 114 ms 41188 KB Output is correct
23 Correct 15 ms 24268 KB Output is correct
24 Correct 136 ms 39928 KB Output is correct
25 Correct 164 ms 46568 KB Output is correct
26 Correct 17 ms 24396 KB Output is correct
27 Correct 16 ms 24428 KB Output is correct
28 Correct 16 ms 24228 KB Output is correct
29 Correct 19 ms 24256 KB Output is correct
30 Correct 16 ms 24352 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 23756 KB Output is correct
2 Correct 13 ms 23756 KB Output is correct
3 Correct 12 ms 23756 KB Output is correct
4 Correct 13 ms 23820 KB Output is correct
5 Correct 14 ms 23808 KB Output is correct
6 Correct 12 ms 23756 KB Output is correct
7 Correct 13 ms 23756 KB Output is correct
8 Correct 17 ms 23800 KB Output is correct
9 Correct 13 ms 23800 KB Output is correct
10 Correct 16 ms 23756 KB Output is correct
11 Correct 14 ms 23784 KB Output is correct
12 Correct 12 ms 23796 KB Output is correct
13 Correct 13 ms 23760 KB Output is correct
14 Correct 12 ms 23748 KB Output is correct
15 Correct 12 ms 23756 KB Output is correct
16 Correct 12 ms 23756 KB Output is correct
17 Correct 14 ms 23788 KB Output is correct
18 Correct 13 ms 23756 KB Output is correct
19 Correct 12 ms 23800 KB Output is correct
20 Correct 13 ms 23756 KB Output is correct
21 Correct 16 ms 23756 KB Output is correct
22 Correct 13 ms 23824 KB Output is correct
23 Correct 16 ms 23804 KB Output is correct
24 Correct 12 ms 23756 KB Output is correct
25 Correct 13 ms 23852 KB Output is correct
26 Correct 16 ms 24304 KB Output is correct
27 Correct 15 ms 24320 KB Output is correct
28 Correct 15 ms 24488 KB Output is correct
29 Correct 15 ms 24268 KB Output is correct
30 Correct 15 ms 24292 KB Output is correct
31 Correct 13 ms 23792 KB Output is correct
32 Correct 16 ms 24576 KB Output is correct
33 Correct 13 ms 23804 KB Output is correct
34 Correct 15 ms 24288 KB Output is correct
35 Correct 16 ms 24384 KB Output is correct
36 Correct 15 ms 24260 KB Output is correct
37 Correct 15 ms 24332 KB Output is correct
38 Correct 13 ms 23928 KB Output is correct
39 Correct 16 ms 24332 KB Output is correct
40 Correct 20 ms 24220 KB Output is correct
41 Correct 16 ms 24184 KB Output is correct
42 Correct 15 ms 24268 KB Output is correct
43 Correct 18 ms 24540 KB Output is correct
44 Correct 12 ms 23756 KB Output is correct
45 Correct 16 ms 24396 KB Output is correct
46 Correct 18 ms 24324 KB Output is correct
47 Correct 16 ms 23832 KB Output is correct
48 Correct 15 ms 24268 KB Output is correct
49 Correct 17 ms 24324 KB Output is correct
50 Correct 16 ms 24396 KB Output is correct
51 Correct 15 ms 24264 KB Output is correct
52 Correct 15 ms 24268 KB Output is correct
53 Correct 15 ms 24268 KB Output is correct
54 Correct 15 ms 24164 KB Output is correct
55 Correct 12 ms 23756 KB Output is correct
56 Correct 115 ms 39532 KB Output is correct
57 Correct 129 ms 39168 KB Output is correct
58 Correct 18 ms 24292 KB Output is correct
59 Correct 15 ms 23724 KB Output is correct
60 Correct 16 ms 23800 KB Output is correct
61 Correct 120 ms 39188 KB Output is correct
62 Correct 18 ms 24268 KB Output is correct
63 Correct 138 ms 50668 KB Output is correct
64 Correct 178 ms 39152 KB Output is correct
65 Correct 16 ms 24268 KB Output is correct
66 Correct 138 ms 40432 KB Output is correct
67 Correct 20 ms 24232 KB Output is correct
68 Correct 14 ms 24196 KB Output is correct
69 Correct 99 ms 39420 KB Output is correct
70 Correct 14 ms 24652 KB Output is correct
71 Correct 112 ms 39004 KB Output is correct
72 Correct 178 ms 42900 KB Output is correct
73 Correct 14 ms 23756 KB Output is correct
74 Correct 150 ms 51048 KB Output is correct
75 Correct 163 ms 45144 KB Output is correct
76 Correct 17 ms 24196 KB Output is correct
77 Correct 14 ms 24268 KB Output is correct
78 Correct 160 ms 38520 KB Output is correct
79 Correct 142 ms 41504 KB Output is correct
80 Correct 20 ms 24292 KB Output is correct
81 Correct 19 ms 24188 KB Output is correct
82 Correct 17 ms 23796 KB Output is correct
83 Correct 15 ms 23756 KB Output is correct
84 Correct 15 ms 24200 KB Output is correct
85 Correct 182 ms 41024 KB Output is correct
86 Correct 16 ms 24200 KB Output is correct
87 Correct 137 ms 39664 KB Output is correct
88 Correct 14 ms 23788 KB Output is correct
89 Correct 128 ms 39636 KB Output is correct
90 Correct 141 ms 40888 KB Output is correct
91 Correct 136 ms 42440 KB Output is correct
92 Correct 110 ms 39456 KB Output is correct
93 Correct 17 ms 24232 KB Output is correct
94 Correct 13 ms 23756 KB Output is correct
95 Correct 114 ms 42476 KB Output is correct
96 Correct 148 ms 48708 KB Output is correct
97 Correct 15 ms 24268 KB Output is correct
98 Correct 14 ms 23800 KB Output is correct
99 Correct 114 ms 41188 KB Output is correct
100 Correct 15 ms 24268 KB Output is correct
101 Correct 136 ms 39928 KB Output is correct
102 Correct 164 ms 46568 KB Output is correct
103 Correct 17 ms 24396 KB Output is correct
104 Correct 16 ms 24428 KB Output is correct
105 Correct 16 ms 24228 KB Output is correct
106 Correct 19 ms 24256 KB Output is correct
107 Correct 16 ms 24352 KB Output is correct
108 Correct 860 ms 111556 KB Output is correct
109 Correct 1039 ms 129680 KB Output is correct
110 Correct 1088 ms 147572 KB Output is correct
111 Correct 1190 ms 155608 KB Output is correct
112 Correct 1139 ms 139964 KB Output is correct
113 Correct 787 ms 118300 KB Output is correct
114 Correct 964 ms 100532 KB Output is correct
115 Correct 876 ms 100484 KB Output is correct
116 Correct 1084 ms 107224 KB Output is correct
117 Correct 932 ms 118580 KB Output is correct
118 Correct 875 ms 102332 KB Output is correct
119 Correct 948 ms 118380 KB Output is correct
120 Correct 1016 ms 140936 KB Output is correct
121 Correct 965 ms 118428 KB Output is correct
122 Correct 1103 ms 112452 KB Output is correct
123 Correct 806 ms 119876 KB Output is correct
124 Correct 1034 ms 116756 KB Output is correct