답안 #108950

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
108950 2019-05-03T10:01:41 Z oolimry 철인 이종 경기 (APIO18_duathlon) C++14
100 / 100
637 ms 58220 KB
#include <bits/stdc++.h>
 
using namespace std;
int n, m;
typedef vector<int> vi;
typedef pair<int,int> ii;
struct node{
    int depth = -1;
    int low;
    int parent;
    bool vis = false;
    bool isArti = false;
    vi adj;
};
 
vector<unordered_set<int> > biconnected;
stack<int> s; ///this is only needed for biconnected components
///note: this will ignore single nodes with no edges
static node g[200005];
int rootChildren = 0;
void dfs(int u){
    if(g[u].depth == -1) g[u].depth = g[g[u].parent].depth + 1;
    g[u].low = g[u].depth;
    g[u].vis = true;
    for(int i = 0;i < g[u].adj.size();i++){
        int v = g[u].adj[i];
        if(!g[v].vis){
            g[v].parent = u;
            if(g[u].depth == 0) rootChildren++;
            s.push(u); ///s traces the path of tree traversal
            dfs(v);
            g[u].low = min(g[u].low,g[v].low);
 
            if(g[v].low >= g[u].depth){
                g[u].isArti = true;
                g[u].low = min(g[u].low,g[v].low);
                unordered_set<int> newSet;
                int nn;
                biconnected.push_back(newSet); ///create new biconnected component
                do{
                    assert(!s.empty());
                    nn = s.top();
                    s.pop();
                    biconnected.back().insert(nn);
                }while(nn != u);
            }
            ///if(g[v].low > g[u].depth{
                  ///u,v is a bridge
            ///}
        }
        else if(v != g[u].parent){
            g[u].low = min(g[u].low,g[v].depth);
        }
        s.push(u);
    }
}
struct node2{
    long long sz;
    long long dp = 0;
    bool isArti = false;
    bool vis = false;
    int r;
    int p = -1;
    vi adj;
};
 
vector<node2> bct; ///block-cut tree
long long root = -1;
void dp(int u){
    if(bct[u].vis) return;
    bct[u].vis = true;
    bct[u].dp = bct[u].sz;
    bct[u].r = root;
    for(int i = 0;i < bct[u].adj.size();i++){
        int v = bct[u].adj[i];
        if(bct[v].vis) continue;
        bct[v].p = u;
        dp(v);
        bct[u].dp += bct[v].dp;
    }
}
int main()
{
    //freopen("i.txt","r",stdin);
    cin >> n >> m;
    ii edges[m];
    for(int i = 0;i < m;i++){
        int a, b;
        cin >> a >> b;
        a--;
        b--;
        g[a].adj.push_back(b);
        g[b].adj.push_back(a);
        edges[i] = ii(a,b);
    }
 
    for(int i = 0;i < n;i++){
        if(!g[i].vis){
            rootChildren = 0;
            g[i].depth = 0;
            dfs(i);
            if(rootChildren > 1) g[i].isArti = true;
            else g[i].isArti = false; ///this line is needed
        }
    }
    unordered_map<int,int> artis;
    for(int i = 0;i < n;i++){
        if(g[i].isArti){
            artis[i] = bct.size();
            node2 nn;
            nn.sz = 1;
            nn.isArti = true;
            bct.push_back(nn);
        }
    }
 
 
    for(int i = 0;i < biconnected.size();i++){
        node2 nn;
        nn.sz = biconnected[i].size();
        nn.isArti = false;
        for(unordered_set<int>::iterator it = biconnected[i].begin();it != biconnected[i].end();it++){
            //cout << *it << " ";
            if(artis.find(*it) != artis.end()){
                nn.adj.push_back(artis[*it]);
                bct[artis[*it]].adj.push_back(bct.size());
                nn.sz--;
            }
        }
        bct.push_back(nn);
        //cout << "\n";
    }
    for(int i = 0;i < bct.size();i++){
        root = i;
        dp(i);
    }
    /*
    for(int i = 0;i < bct.size();i++){
        cout << i << " " << bct[i].sz << " " << bct[i].dp << " " << bct[i].isArti << "| ";
        for(int j = 0;j < bct[i].adj.size();j++){
            cout << bct[i].adj[j] << " ";
        }
        cout << "\n";
    }
    */
    long long ans = 0ll;
    for(int i = 0;i < bct.size();i++){
        vector<long long> branches;
        vector<long long> branchStart;
        long long total = 0ll;
        for(int j = 0;j < bct[i].adj.size();j++){
            if(bct[i].adj[j] != bct[i].p){
                branches.push_back(bct[bct[i].adj[j]].dp);
                branchStart.push_back(bct[bct[i].adj[j]].sz);
            }
        }
        if(bct[i].p >= 0){
            branches.push_back(bct[bct[i].r].dp - bct[i].dp);
            branchStart.push_back(bct[bct[i].p].sz);
        }
        for(int j = 0;j < branches.size();j++) total += branches[j];
        long long extra = 0ll;
        if(!bct[i].isArti) extra = max(0ll,(long long)(bct[i].adj.size())-2);
        for(int j = 0;j < branches.size();j++){
            //cout << i << " " << branches[j] << "\n";
            ///branch1 to self or neighbor articulation point to branch2
            ans += branches[j] * (total - branches[j]) * (bct[i].sz + extra);
 
            ///branch to self to self or self to self to branch
            ans += 2 * (bct[i].sz) * (bct[i].sz - 1) * branches[j];
 
            ///self to arti to another branch
            //if(!bct[i].isArti){
            //    ans += 2ll * (bct[i].sz) * branches[j] * (bct[i].adj.size() - 1);
            //}
 
            if(bct[i].isArti){
                ///direct branch to self to same branch(not reverse) or its reverse
                ans += 2ll * bct[i].sz * branchStart[j] * (branches[j] - branchStart[j]);
                ///direct branch to self to direct or its reverse
                ans += bct[i].sz * (branchStart[j]) * (branchStart[j] - 1);
 
            }
        }
 
 
        ///self to self to self
        ans += (bct[i].sz) * (bct[i].sz - 1) * (bct[i].sz - 2);
        //if(!bct[i].isArti) ans += (bct[i].sz) * (bct[i].sz - 1) * (bct[i].adj.size());
        //cout << i << " " << ans << "\n";
    }
    cout << ans;
}

Compilation message

count_triplets.cpp: In function 'void dfs(int)':
count_triplets.cpp:25:21: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for(int i = 0;i < g[u].adj.size();i++){
                   ~~^~~~~~~~~~~~~~~~~
count_triplets.cpp: In function 'void dp(int)':
count_triplets.cpp:74:21: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for(int i = 0;i < bct[u].adj.size();i++){
                   ~~^~~~~~~~~~~~~~~~~~~
count_triplets.cpp: In function 'int main()':
count_triplets.cpp:118:21: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for(int i = 0;i < biconnected.size();i++){
                   ~~^~~~~~~~~~~~~~~~~~~~
count_triplets.cpp:133:21: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for(int i = 0;i < bct.size();i++){
                   ~~^~~~~~~~~~~~
count_triplets.cpp:147:21: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for(int i = 0;i < bct.size();i++){
                   ~~^~~~~~~~~~~~
count_triplets.cpp:151:25: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for(int j = 0;j < bct[i].adj.size();j++){
                       ~~^~~~~~~~~~~~~~~~~~~
count_triplets.cpp:161:25: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for(int j = 0;j < branches.size();j++) total += branches[j];
                       ~~^~~~~~~~~~~~~~~~~
count_triplets.cpp:164:25: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for(int j = 0;j < branches.size();j++){
                       ~~^~~~~~~~~~~~~~~~~
# 결과 실행 시간 메모리 Grader output
1 Correct 9 ms 8192 KB Output is correct
2 Correct 10 ms 8192 KB Output is correct
3 Correct 10 ms 8192 KB Output is correct
4 Correct 11 ms 8192 KB Output is correct
5 Correct 10 ms 8192 KB Output is correct
6 Correct 10 ms 8192 KB Output is correct
7 Correct 9 ms 8192 KB Output is correct
8 Correct 9 ms 8192 KB Output is correct
9 Correct 9 ms 8196 KB Output is correct
10 Correct 9 ms 8192 KB Output is correct
11 Correct 10 ms 8200 KB Output is correct
12 Correct 10 ms 8164 KB Output is correct
13 Correct 9 ms 8192 KB Output is correct
14 Correct 9 ms 8192 KB Output is correct
15 Correct 9 ms 8192 KB Output is correct
16 Correct 9 ms 8192 KB Output is correct
17 Correct 9 ms 8192 KB Output is correct
18 Correct 10 ms 8192 KB Output is correct
19 Correct 10 ms 8192 KB Output is correct
20 Correct 9 ms 8192 KB Output is correct
21 Correct 9 ms 8164 KB Output is correct
22 Correct 10 ms 8192 KB Output is correct
23 Correct 11 ms 8192 KB Output is correct
24 Correct 11 ms 8192 KB Output is correct
25 Correct 10 ms 8192 KB Output is correct
26 Correct 11 ms 8192 KB Output is correct
27 Correct 14 ms 8192 KB Output is correct
28 Correct 10 ms 8192 KB Output is correct
29 Correct 9 ms 8192 KB Output is correct
30 Correct 9 ms 8108 KB Output is correct
31 Correct 13 ms 8192 KB Output is correct
32 Correct 10 ms 8192 KB Output is correct
33 Correct 9 ms 8192 KB Output is correct
34 Correct 10 ms 8192 KB Output is correct
35 Correct 11 ms 8192 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 9 ms 8192 KB Output is correct
2 Correct 10 ms 8192 KB Output is correct
3 Correct 10 ms 8192 KB Output is correct
4 Correct 11 ms 8192 KB Output is correct
5 Correct 10 ms 8192 KB Output is correct
6 Correct 10 ms 8192 KB Output is correct
7 Correct 9 ms 8192 KB Output is correct
8 Correct 9 ms 8192 KB Output is correct
9 Correct 9 ms 8196 KB Output is correct
10 Correct 9 ms 8192 KB Output is correct
11 Correct 10 ms 8200 KB Output is correct
12 Correct 10 ms 8164 KB Output is correct
13 Correct 9 ms 8192 KB Output is correct
14 Correct 9 ms 8192 KB Output is correct
15 Correct 9 ms 8192 KB Output is correct
16 Correct 9 ms 8192 KB Output is correct
17 Correct 9 ms 8192 KB Output is correct
18 Correct 10 ms 8192 KB Output is correct
19 Correct 10 ms 8192 KB Output is correct
20 Correct 9 ms 8192 KB Output is correct
21 Correct 9 ms 8164 KB Output is correct
22 Correct 10 ms 8192 KB Output is correct
23 Correct 11 ms 8192 KB Output is correct
24 Correct 11 ms 8192 KB Output is correct
25 Correct 10 ms 8192 KB Output is correct
26 Correct 11 ms 8192 KB Output is correct
27 Correct 14 ms 8192 KB Output is correct
28 Correct 10 ms 8192 KB Output is correct
29 Correct 9 ms 8192 KB Output is correct
30 Correct 9 ms 8108 KB Output is correct
31 Correct 13 ms 8192 KB Output is correct
32 Correct 10 ms 8192 KB Output is correct
33 Correct 9 ms 8192 KB Output is correct
34 Correct 10 ms 8192 KB Output is correct
35 Correct 11 ms 8192 KB Output is correct
36 Correct 9 ms 8192 KB Output is correct
37 Correct 10 ms 8192 KB Output is correct
38 Correct 11 ms 8176 KB Output is correct
39 Correct 9 ms 8192 KB Output is correct
40 Correct 9 ms 8192 KB Output is correct
41 Correct 9 ms 8192 KB Output is correct
42 Correct 10 ms 8096 KB Output is correct
43 Correct 10 ms 8192 KB Output is correct
44 Correct 11 ms 8192 KB Output is correct
45 Correct 10 ms 8192 KB Output is correct
46 Correct 9 ms 8128 KB Output is correct
47 Correct 9 ms 8192 KB Output is correct
48 Correct 10 ms 8192 KB Output is correct
49 Correct 9 ms 8192 KB Output is correct
50 Correct 9 ms 8192 KB Output is correct
51 Correct 14 ms 8192 KB Output is correct
52 Correct 10 ms 8192 KB Output is correct
53 Correct 10 ms 8192 KB Output is correct
54 Correct 10 ms 8192 KB Output is correct
55 Correct 10 ms 8192 KB Output is correct
56 Correct 10 ms 8112 KB Output is correct
57 Correct 10 ms 8164 KB Output is correct
58 Correct 13 ms 8192 KB Output is correct
59 Correct 11 ms 8192 KB Output is correct
60 Correct 9 ms 8192 KB Output is correct
61 Correct 11 ms 8192 KB Output is correct
62 Correct 11 ms 8192 KB Output is correct
63 Correct 12 ms 8192 KB Output is correct
64 Correct 10 ms 8192 KB Output is correct
65 Correct 10 ms 8192 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 234 ms 33456 KB Output is correct
2 Correct 233 ms 33416 KB Output is correct
3 Correct 367 ms 41284 KB Output is correct
4 Correct 291 ms 37636 KB Output is correct
5 Correct 306 ms 37412 KB Output is correct
6 Correct 378 ms 40924 KB Output is correct
7 Correct 378 ms 39992 KB Output is correct
8 Correct 376 ms 41404 KB Output is correct
9 Correct 424 ms 38504 KB Output is correct
10 Correct 411 ms 36664 KB Output is correct
11 Correct 232 ms 32324 KB Output is correct
12 Correct 227 ms 32068 KB Output is correct
13 Correct 195 ms 31552 KB Output is correct
14 Correct 195 ms 31340 KB Output is correct
15 Correct 137 ms 24900 KB Output is correct
16 Correct 170 ms 24544 KB Output is correct
17 Correct 10 ms 8220 KB Output is correct
18 Correct 11 ms 8192 KB Output is correct
19 Correct 12 ms 8192 KB Output is correct
20 Correct 16 ms 8192 KB Output is correct
21 Correct 12 ms 8192 KB Output is correct
22 Correct 11 ms 8192 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 11 ms 8576 KB Output is correct
2 Correct 12 ms 8572 KB Output is correct
3 Correct 14 ms 8576 KB Output is correct
4 Correct 14 ms 8704 KB Output is correct
5 Correct 16 ms 8704 KB Output is correct
6 Correct 12 ms 8604 KB Output is correct
7 Correct 13 ms 8640 KB Output is correct
8 Correct 11 ms 8548 KB Output is correct
9 Correct 14 ms 8576 KB Output is correct
10 Correct 13 ms 8576 KB Output is correct
11 Correct 12 ms 8612 KB Output is correct
12 Correct 12 ms 8576 KB Output is correct
13 Correct 12 ms 8576 KB Output is correct
14 Correct 16 ms 8448 KB Output is correct
15 Correct 13 ms 8568 KB Output is correct
16 Correct 12 ms 8392 KB Output is correct
17 Correct 12 ms 8492 KB Output is correct
18 Correct 11 ms 8448 KB Output is correct
19 Correct 10 ms 8448 KB Output is correct
20 Correct 11 ms 8448 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 466 ms 49716 KB Output is correct
2 Correct 425 ms 49844 KB Output is correct
3 Correct 428 ms 50028 KB Output is correct
4 Correct 441 ms 49728 KB Output is correct
5 Correct 413 ms 49796 KB Output is correct
6 Correct 637 ms 58220 KB Output is correct
7 Correct 457 ms 55324 KB Output is correct
8 Correct 430 ms 54044 KB Output is correct
9 Correct 435 ms 52536 KB Output is correct
10 Correct 454 ms 49928 KB Output is correct
11 Correct 376 ms 49868 KB Output is correct
12 Correct 470 ms 49804 KB Output is correct
13 Correct 415 ms 49832 KB Output is correct
14 Correct 436 ms 48180 KB Output is correct
15 Correct 319 ms 38520 KB Output is correct
16 Correct 195 ms 29904 KB Output is correct
17 Correct 244 ms 41772 KB Output is correct
18 Correct 273 ms 41396 KB Output is correct
19 Correct 203 ms 41260 KB Output is correct
20 Correct 206 ms 41380 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 11 ms 8576 KB Output is correct
2 Correct 16 ms 8496 KB Output is correct
3 Correct 15 ms 8548 KB Output is correct
4 Correct 14 ms 8448 KB Output is correct
5 Correct 11 ms 8320 KB Output is correct
6 Correct 11 ms 8320 KB Output is correct
7 Correct 11 ms 8320 KB Output is correct
8 Correct 13 ms 8320 KB Output is correct
9 Correct 11 ms 8320 KB Output is correct
10 Correct 15 ms 8320 KB Output is correct
11 Correct 12 ms 8312 KB Output is correct
12 Correct 13 ms 8576 KB Output is correct
13 Correct 15 ms 8576 KB Output is correct
14 Correct 12 ms 8576 KB Output is correct
15 Correct 14 ms 8576 KB Output is correct
16 Correct 12 ms 8448 KB Output is correct
17 Correct 11 ms 8448 KB Output is correct
18 Correct 13 ms 8448 KB Output is correct
19 Correct 12 ms 8320 KB Output is correct
20 Correct 10 ms 8320 KB Output is correct
21 Correct 12 ms 8448 KB Output is correct
22 Correct 11 ms 8448 KB Output is correct
23 Correct 11 ms 8448 KB Output is correct
24 Correct 17 ms 8448 KB Output is correct
25 Correct 12 ms 8192 KB Output is correct
26 Correct 11 ms 8160 KB Output is correct
27 Correct 10 ms 8320 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 417 ms 49680 KB Output is correct
2 Correct 366 ms 49720 KB Output is correct
3 Correct 394 ms 48628 KB Output is correct
4 Correct 378 ms 35556 KB Output is correct
5 Correct 329 ms 28908 KB Output is correct
6 Correct 295 ms 25820 KB Output is correct
7 Correct 273 ms 25552 KB Output is correct
8 Correct 361 ms 21968 KB Output is correct
9 Correct 242 ms 21588 KB Output is correct
10 Correct 261 ms 20248 KB Output is correct
11 Correct 253 ms 19068 KB Output is correct
12 Correct 175 ms 18524 KB Output is correct
13 Correct 179 ms 18572 KB Output is correct
14 Correct 198 ms 21852 KB Output is correct
15 Correct 429 ms 55084 KB Output is correct
16 Correct 441 ms 52972 KB Output is correct
17 Correct 385 ms 46036 KB Output is correct
18 Correct 349 ms 43688 KB Output is correct
19 Correct 299 ms 35392 KB Output is correct
20 Correct 307 ms 35364 KB Output is correct
21 Correct 323 ms 35364 KB Output is correct
22 Correct 277 ms 33728 KB Output is correct
23 Correct 231 ms 28112 KB Output is correct
24 Correct 331 ms 41032 KB Output is correct
25 Correct 366 ms 40988 KB Output is correct
26 Correct 342 ms 38772 KB Output is correct
27 Correct 342 ms 38652 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 9 ms 8192 KB Output is correct
2 Correct 10 ms 8192 KB Output is correct
3 Correct 10 ms 8192 KB Output is correct
4 Correct 11 ms 8192 KB Output is correct
5 Correct 10 ms 8192 KB Output is correct
6 Correct 10 ms 8192 KB Output is correct
7 Correct 9 ms 8192 KB Output is correct
8 Correct 9 ms 8192 KB Output is correct
9 Correct 9 ms 8196 KB Output is correct
10 Correct 9 ms 8192 KB Output is correct
11 Correct 10 ms 8200 KB Output is correct
12 Correct 10 ms 8164 KB Output is correct
13 Correct 9 ms 8192 KB Output is correct
14 Correct 9 ms 8192 KB Output is correct
15 Correct 9 ms 8192 KB Output is correct
16 Correct 9 ms 8192 KB Output is correct
17 Correct 9 ms 8192 KB Output is correct
18 Correct 10 ms 8192 KB Output is correct
19 Correct 10 ms 8192 KB Output is correct
20 Correct 9 ms 8192 KB Output is correct
21 Correct 9 ms 8164 KB Output is correct
22 Correct 10 ms 8192 KB Output is correct
23 Correct 11 ms 8192 KB Output is correct
24 Correct 11 ms 8192 KB Output is correct
25 Correct 10 ms 8192 KB Output is correct
26 Correct 11 ms 8192 KB Output is correct
27 Correct 14 ms 8192 KB Output is correct
28 Correct 10 ms 8192 KB Output is correct
29 Correct 9 ms 8192 KB Output is correct
30 Correct 9 ms 8108 KB Output is correct
31 Correct 13 ms 8192 KB Output is correct
32 Correct 10 ms 8192 KB Output is correct
33 Correct 9 ms 8192 KB Output is correct
34 Correct 10 ms 8192 KB Output is correct
35 Correct 11 ms 8192 KB Output is correct
36 Correct 9 ms 8192 KB Output is correct
37 Correct 10 ms 8192 KB Output is correct
38 Correct 11 ms 8176 KB Output is correct
39 Correct 9 ms 8192 KB Output is correct
40 Correct 9 ms 8192 KB Output is correct
41 Correct 9 ms 8192 KB Output is correct
42 Correct 10 ms 8096 KB Output is correct
43 Correct 10 ms 8192 KB Output is correct
44 Correct 11 ms 8192 KB Output is correct
45 Correct 10 ms 8192 KB Output is correct
46 Correct 9 ms 8128 KB Output is correct
47 Correct 9 ms 8192 KB Output is correct
48 Correct 10 ms 8192 KB Output is correct
49 Correct 9 ms 8192 KB Output is correct
50 Correct 9 ms 8192 KB Output is correct
51 Correct 14 ms 8192 KB Output is correct
52 Correct 10 ms 8192 KB Output is correct
53 Correct 10 ms 8192 KB Output is correct
54 Correct 10 ms 8192 KB Output is correct
55 Correct 10 ms 8192 KB Output is correct
56 Correct 10 ms 8112 KB Output is correct
57 Correct 10 ms 8164 KB Output is correct
58 Correct 13 ms 8192 KB Output is correct
59 Correct 11 ms 8192 KB Output is correct
60 Correct 9 ms 8192 KB Output is correct
61 Correct 11 ms 8192 KB Output is correct
62 Correct 11 ms 8192 KB Output is correct
63 Correct 12 ms 8192 KB Output is correct
64 Correct 10 ms 8192 KB Output is correct
65 Correct 10 ms 8192 KB Output is correct
66 Correct 9 ms 8192 KB Output is correct
67 Correct 14 ms 8320 KB Output is correct
68 Correct 12 ms 8448 KB Output is correct
69 Correct 12 ms 8448 KB Output is correct
70 Correct 11 ms 8344 KB Output is correct
71 Correct 15 ms 8448 KB Output is correct
72 Correct 18 ms 8320 KB Output is correct
73 Correct 17 ms 8320 KB Output is correct
74 Correct 14 ms 8448 KB Output is correct
75 Correct 10 ms 8320 KB Output is correct
76 Correct 8 ms 8192 KB Output is correct
77 Correct 10 ms 8448 KB Output is correct
78 Correct 10 ms 8448 KB Output is correct
79 Correct 10 ms 8320 KB Output is correct
80 Correct 10 ms 8320 KB Output is correct
81 Correct 12 ms 8320 KB Output is correct
82 Correct 11 ms 8276 KB Output is correct
83 Correct 11 ms 8320 KB Output is correct
84 Correct 10 ms 8448 KB Output is correct
85 Correct 11 ms 8448 KB Output is correct
86 Correct 15 ms 8448 KB Output is correct
87 Correct 13 ms 8320 KB Output is correct
88 Correct 18 ms 8320 KB Output is correct
89 Correct 14 ms 8192 KB Output is correct
90 Correct 10 ms 8320 KB Output is correct
91 Correct 15 ms 8320 KB Output is correct
92 Correct 14 ms 8320 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 9 ms 8192 KB Output is correct
2 Correct 10 ms 8192 KB Output is correct
3 Correct 10 ms 8192 KB Output is correct
4 Correct 11 ms 8192 KB Output is correct
5 Correct 10 ms 8192 KB Output is correct
6 Correct 10 ms 8192 KB Output is correct
7 Correct 9 ms 8192 KB Output is correct
8 Correct 9 ms 8192 KB Output is correct
9 Correct 9 ms 8196 KB Output is correct
10 Correct 9 ms 8192 KB Output is correct
11 Correct 10 ms 8200 KB Output is correct
12 Correct 10 ms 8164 KB Output is correct
13 Correct 9 ms 8192 KB Output is correct
14 Correct 9 ms 8192 KB Output is correct
15 Correct 9 ms 8192 KB Output is correct
16 Correct 9 ms 8192 KB Output is correct
17 Correct 9 ms 8192 KB Output is correct
18 Correct 10 ms 8192 KB Output is correct
19 Correct 10 ms 8192 KB Output is correct
20 Correct 9 ms 8192 KB Output is correct
21 Correct 9 ms 8164 KB Output is correct
22 Correct 10 ms 8192 KB Output is correct
23 Correct 11 ms 8192 KB Output is correct
24 Correct 11 ms 8192 KB Output is correct
25 Correct 10 ms 8192 KB Output is correct
26 Correct 11 ms 8192 KB Output is correct
27 Correct 14 ms 8192 KB Output is correct
28 Correct 10 ms 8192 KB Output is correct
29 Correct 9 ms 8192 KB Output is correct
30 Correct 9 ms 8108 KB Output is correct
31 Correct 13 ms 8192 KB Output is correct
32 Correct 10 ms 8192 KB Output is correct
33 Correct 9 ms 8192 KB Output is correct
34 Correct 10 ms 8192 KB Output is correct
35 Correct 11 ms 8192 KB Output is correct
36 Correct 9 ms 8192 KB Output is correct
37 Correct 10 ms 8192 KB Output is correct
38 Correct 11 ms 8176 KB Output is correct
39 Correct 9 ms 8192 KB Output is correct
40 Correct 9 ms 8192 KB Output is correct
41 Correct 9 ms 8192 KB Output is correct
42 Correct 10 ms 8096 KB Output is correct
43 Correct 10 ms 8192 KB Output is correct
44 Correct 11 ms 8192 KB Output is correct
45 Correct 10 ms 8192 KB Output is correct
46 Correct 9 ms 8128 KB Output is correct
47 Correct 9 ms 8192 KB Output is correct
48 Correct 10 ms 8192 KB Output is correct
49 Correct 9 ms 8192 KB Output is correct
50 Correct 9 ms 8192 KB Output is correct
51 Correct 14 ms 8192 KB Output is correct
52 Correct 10 ms 8192 KB Output is correct
53 Correct 10 ms 8192 KB Output is correct
54 Correct 10 ms 8192 KB Output is correct
55 Correct 10 ms 8192 KB Output is correct
56 Correct 10 ms 8112 KB Output is correct
57 Correct 10 ms 8164 KB Output is correct
58 Correct 13 ms 8192 KB Output is correct
59 Correct 11 ms 8192 KB Output is correct
60 Correct 9 ms 8192 KB Output is correct
61 Correct 11 ms 8192 KB Output is correct
62 Correct 11 ms 8192 KB Output is correct
63 Correct 12 ms 8192 KB Output is correct
64 Correct 10 ms 8192 KB Output is correct
65 Correct 10 ms 8192 KB Output is correct
66 Correct 234 ms 33456 KB Output is correct
67 Correct 233 ms 33416 KB Output is correct
68 Correct 367 ms 41284 KB Output is correct
69 Correct 291 ms 37636 KB Output is correct
70 Correct 306 ms 37412 KB Output is correct
71 Correct 378 ms 40924 KB Output is correct
72 Correct 378 ms 39992 KB Output is correct
73 Correct 376 ms 41404 KB Output is correct
74 Correct 424 ms 38504 KB Output is correct
75 Correct 411 ms 36664 KB Output is correct
76 Correct 232 ms 32324 KB Output is correct
77 Correct 227 ms 32068 KB Output is correct
78 Correct 195 ms 31552 KB Output is correct
79 Correct 195 ms 31340 KB Output is correct
80 Correct 137 ms 24900 KB Output is correct
81 Correct 170 ms 24544 KB Output is correct
82 Correct 10 ms 8220 KB Output is correct
83 Correct 11 ms 8192 KB Output is correct
84 Correct 12 ms 8192 KB Output is correct
85 Correct 16 ms 8192 KB Output is correct
86 Correct 12 ms 8192 KB Output is correct
87 Correct 11 ms 8192 KB Output is correct
88 Correct 11 ms 8576 KB Output is correct
89 Correct 12 ms 8572 KB Output is correct
90 Correct 14 ms 8576 KB Output is correct
91 Correct 14 ms 8704 KB Output is correct
92 Correct 16 ms 8704 KB Output is correct
93 Correct 12 ms 8604 KB Output is correct
94 Correct 13 ms 8640 KB Output is correct
95 Correct 11 ms 8548 KB Output is correct
96 Correct 14 ms 8576 KB Output is correct
97 Correct 13 ms 8576 KB Output is correct
98 Correct 12 ms 8612 KB Output is correct
99 Correct 12 ms 8576 KB Output is correct
100 Correct 12 ms 8576 KB Output is correct
101 Correct 16 ms 8448 KB Output is correct
102 Correct 13 ms 8568 KB Output is correct
103 Correct 12 ms 8392 KB Output is correct
104 Correct 12 ms 8492 KB Output is correct
105 Correct 11 ms 8448 KB Output is correct
106 Correct 10 ms 8448 KB Output is correct
107 Correct 11 ms 8448 KB Output is correct
108 Correct 466 ms 49716 KB Output is correct
109 Correct 425 ms 49844 KB Output is correct
110 Correct 428 ms 50028 KB Output is correct
111 Correct 441 ms 49728 KB Output is correct
112 Correct 413 ms 49796 KB Output is correct
113 Correct 637 ms 58220 KB Output is correct
114 Correct 457 ms 55324 KB Output is correct
115 Correct 430 ms 54044 KB Output is correct
116 Correct 435 ms 52536 KB Output is correct
117 Correct 454 ms 49928 KB Output is correct
118 Correct 376 ms 49868 KB Output is correct
119 Correct 470 ms 49804 KB Output is correct
120 Correct 415 ms 49832 KB Output is correct
121 Correct 436 ms 48180 KB Output is correct
122 Correct 319 ms 38520 KB Output is correct
123 Correct 195 ms 29904 KB Output is correct
124 Correct 244 ms 41772 KB Output is correct
125 Correct 273 ms 41396 KB Output is correct
126 Correct 203 ms 41260 KB Output is correct
127 Correct 206 ms 41380 KB Output is correct
128 Correct 11 ms 8576 KB Output is correct
129 Correct 16 ms 8496 KB Output is correct
130 Correct 15 ms 8548 KB Output is correct
131 Correct 14 ms 8448 KB Output is correct
132 Correct 11 ms 8320 KB Output is correct
133 Correct 11 ms 8320 KB Output is correct
134 Correct 11 ms 8320 KB Output is correct
135 Correct 13 ms 8320 KB Output is correct
136 Correct 11 ms 8320 KB Output is correct
137 Correct 15 ms 8320 KB Output is correct
138 Correct 12 ms 8312 KB Output is correct
139 Correct 13 ms 8576 KB Output is correct
140 Correct 15 ms 8576 KB Output is correct
141 Correct 12 ms 8576 KB Output is correct
142 Correct 14 ms 8576 KB Output is correct
143 Correct 12 ms 8448 KB Output is correct
144 Correct 11 ms 8448 KB Output is correct
145 Correct 13 ms 8448 KB Output is correct
146 Correct 12 ms 8320 KB Output is correct
147 Correct 10 ms 8320 KB Output is correct
148 Correct 12 ms 8448 KB Output is correct
149 Correct 11 ms 8448 KB Output is correct
150 Correct 11 ms 8448 KB Output is correct
151 Correct 17 ms 8448 KB Output is correct
152 Correct 12 ms 8192 KB Output is correct
153 Correct 11 ms 8160 KB Output is correct
154 Correct 10 ms 8320 KB Output is correct
155 Correct 417 ms 49680 KB Output is correct
156 Correct 366 ms 49720 KB Output is correct
157 Correct 394 ms 48628 KB Output is correct
158 Correct 378 ms 35556 KB Output is correct
159 Correct 329 ms 28908 KB Output is correct
160 Correct 295 ms 25820 KB Output is correct
161 Correct 273 ms 25552 KB Output is correct
162 Correct 361 ms 21968 KB Output is correct
163 Correct 242 ms 21588 KB Output is correct
164 Correct 261 ms 20248 KB Output is correct
165 Correct 253 ms 19068 KB Output is correct
166 Correct 175 ms 18524 KB Output is correct
167 Correct 179 ms 18572 KB Output is correct
168 Correct 198 ms 21852 KB Output is correct
169 Correct 429 ms 55084 KB Output is correct
170 Correct 441 ms 52972 KB Output is correct
171 Correct 385 ms 46036 KB Output is correct
172 Correct 349 ms 43688 KB Output is correct
173 Correct 299 ms 35392 KB Output is correct
174 Correct 307 ms 35364 KB Output is correct
175 Correct 323 ms 35364 KB Output is correct
176 Correct 277 ms 33728 KB Output is correct
177 Correct 231 ms 28112 KB Output is correct
178 Correct 331 ms 41032 KB Output is correct
179 Correct 366 ms 40988 KB Output is correct
180 Correct 342 ms 38772 KB Output is correct
181 Correct 342 ms 38652 KB Output is correct
182 Correct 9 ms 8192 KB Output is correct
183 Correct 14 ms 8320 KB Output is correct
184 Correct 12 ms 8448 KB Output is correct
185 Correct 12 ms 8448 KB Output is correct
186 Correct 11 ms 8344 KB Output is correct
187 Correct 15 ms 8448 KB Output is correct
188 Correct 18 ms 8320 KB Output is correct
189 Correct 17 ms 8320 KB Output is correct
190 Correct 14 ms 8448 KB Output is correct
191 Correct 10 ms 8320 KB Output is correct
192 Correct 8 ms 8192 KB Output is correct
193 Correct 10 ms 8448 KB Output is correct
194 Correct 10 ms 8448 KB Output is correct
195 Correct 10 ms 8320 KB Output is correct
196 Correct 10 ms 8320 KB Output is correct
197 Correct 12 ms 8320 KB Output is correct
198 Correct 11 ms 8276 KB Output is correct
199 Correct 11 ms 8320 KB Output is correct
200 Correct 10 ms 8448 KB Output is correct
201 Correct 11 ms 8448 KB Output is correct
202 Correct 15 ms 8448 KB Output is correct
203 Correct 13 ms 8320 KB Output is correct
204 Correct 18 ms 8320 KB Output is correct
205 Correct 14 ms 8192 KB Output is correct
206 Correct 10 ms 8320 KB Output is correct
207 Correct 15 ms 8320 KB Output is correct
208 Correct 14 ms 8320 KB Output is correct
209 Correct 13 ms 8192 KB Output is correct
210 Correct 218 ms 29508 KB Output is correct
211 Correct 328 ms 31732 KB Output is correct
212 Correct 349 ms 33512 KB Output is correct
213 Correct 329 ms 32272 KB Output is correct
214 Correct 183 ms 28072 KB Output is correct
215 Correct 193 ms 25948 KB Output is correct
216 Correct 392 ms 38684 KB Output is correct
217 Correct 285 ms 29888 KB Output is correct
218 Correct 309 ms 22136 KB Output is correct
219 Correct 246 ms 19988 KB Output is correct
220 Correct 223 ms 19084 KB Output is correct
221 Correct 206 ms 18168 KB Output is correct
222 Correct 234 ms 20228 KB Output is correct
223 Correct 346 ms 38456 KB Output is correct
224 Correct 310 ms 37032 KB Output is correct
225 Correct 288 ms 28712 KB Output is correct
226 Correct 292 ms 28776 KB Output is correct
227 Correct 411 ms 28868 KB Output is correct
228 Correct 330 ms 26552 KB Output is correct
229 Correct 211 ms 23644 KB Output is correct
230 Correct 269 ms 29508 KB Output is correct
231 Correct 236 ms 29516 KB Output is correct