답안 #525724

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
525724 2022-02-12T16:14:13 Z qwerasdfzxcl Mountains and Valleys (CCO20_day1problem3) C++14
25 / 25
6813 ms 443716 KB
#include <bits/stdc++.h>

typedef long long ll;
using namespace std;
struct Query{
    int x, y, z;
    Query(){}
    Query(int _x, int _y, int _z): x(_x), y(_y), z(_z) {}
};
vector<int> adj[500500];
vector<Query> E;
int n;

int dep[500500], par[500500], dp_D[500500], dp_far[500500], D[500500], deep[500500];
void dfs_dp1(int s, int pa = -1){
    //printf(" %d", s);
    par[s] = pa;
    priority_queue<pair<int, int>, vector<pair<int, int>>, greater<pair<int, int>>> pqD, pqfar;

    for (auto &v:adj[s]) if (v!=pa){
        dep[v] = dep[s]+1;
        dfs_dp1(v, s);

        dp_D[s] = max(dp_D[s], dp_D[v]);
        dp_far[s] = max(dp_far[s], dp_far[v]+1);

        pqD.emplace(dp_D[v], v);
        pqfar.emplace(dp_far[v]+1, v);
        if (pqD.size()>3) {pqD.pop(); pqfar.pop();}
    }

    pair<int, int> Drr[3], Frr[3];
    for (int i=pqD.size();i<3;i++) Drr[i] = Frr[i] = {0, -1};

    for (int i=(int)pqD.size()-1;i>=0;i--){
        Drr[i] = pqD.top(); pqD.pop();
    }
    for (int i=(int)pqfar.size()-1;i>=0;i--){
        Frr[i] = pqfar.top(); pqfar.pop();
    }

    dp_D[s] = max(dp_D[s], Frr[0].first + Frr[1].first);

    ///calc D, deep
    for (auto &v:adj[s]) if (v!=pa){
        if (v==Drr[0].second) D[v] = Drr[1].first;
        else D[v] = Drr[0].first;

        if (v==Frr[0].second){
            D[v] = max(D[v], Frr[1].first + Frr[2].first);
            deep[v] = Frr[1].first;
        }
        else if (v==Frr[1].second){
            D[v] = max(D[v], Frr[0].first + Frr[2].first);
            deep[v] = Frr[0].first;
        }
        else{
            D[v] = max(D[v], Frr[0].first + Frr[1].first);
            deep[v] = Frr[0].first;
        }
    }
}

pair<int, int> Dc[500500][4], Fc[500500][4];
int dp_parD[500500], dp_parF[500500];

void dfs_dp2(int s, int pa = -1){
    priority_queue<pair<int, int>, vector<pair<int, int>>, greater<pair<int, int>>> pqD, pqF;
    if (pa!=-1){
        pqD.emplace(dp_parD[s], pa);
        pqF.emplace(dp_parF[s]+1, pa);
    }

    for (auto &v:adj[s]) if (v!=pa){
        pqD.emplace(dp_D[v], v);
        pqF.emplace(dp_far[v]+1, v);
        if (pqD.size()>4) {pqD.pop(); pqF.pop();}
    }


    for (int i=pqD.size();i<4;i++) Dc[s][i] = Fc[s][i] = {0, -1};

    for (int i=(int)pqD.size()-1;i>=0;i--){
        Dc[s][i] = pqD.top(); pqD.pop();
    }
    for (int i=(int)pqF.size()-1;i>=0;i--){
        Fc[s][i] = pqF.top(); pqF.pop();
    }

    ///calc dp_par
    for (auto &v:adj[s]) if (v!=pa){
        if (v==Dc[s][0].second) dp_parD[v] = Dc[s][1].first;
        else dp_parD[v] = Dc[s][0].first;

        if (v==Fc[s][0].second){
            dp_parD[v] = max(dp_parD[v], Fc[s][1].first + Fc[s][2].first);
            dp_parF[v] = Fc[s][1].first;
        }
        else if (v==Fc[s][1].second){
            dp_parD[v] = max(dp_parD[v], Fc[s][0].first + Fc[s][2].first);
            dp_parF[v] = Fc[s][0].first;
        }
        else{
            dp_parD[v] = max(dp_parD[v], Fc[s][0].first + Fc[s][1].first);
            dp_parF[v] = Fc[s][0].first;
        }
    }

    for (auto &v:adj[s]) if (v!=pa) dfs_dp2(v, s);
}

struct Node{
    int ans, a, b;
    Node(){}
    Node(int _ans, int _a, int _b): ans(_ans), a(_a), b(_b) {}
    Node operator +(const Node &R) const{
        return Node(max(max(ans, R.ans), a+R.b), max(a, R.a), max(b, R.b));
    }
};
pair<int, int> sp1[500500][20];
Node sp2[500500][20];

void build(int n){
    for (int i=0;i<n;i++){
        sp1[i][0] = {D[i], par[i]};
        sp2[i][0] = Node(-1e9, deep[i]-(dep[i]-1), deep[i]+(dep[i]-1));
    }

    for (int j=1;j<20;j++){
        for (int i=0;i<n;i++) if (dep[i]>=(1<<j)){
            int tmp = sp1[i][j-1].second;

            sp1[i][j].first = max(sp1[i][j-1].first, sp1[tmp][j-1].first);
            sp1[i][j].second = sp1[tmp][j-1].second;
            sp2[i][j] = sp2[i][j-1] + sp2[tmp][j-1];
        }
    }
}

int prV, prW;
int get_lca(int v, int w){
    if (dep[v]<dep[w]) swap(v, w);

    if(dep[v]!=dep[w]){
        int dist = dep[v] - dep[w] - 1;
        for (int j=0;dist>0;j++) if (dist&(1<<j)){
            v = sp1[v][j].second;
            dist -= 1<<j;
        }
    }
    prV = v, prW = w;
    if (dep[v]!=dep[w]) v = sp1[v][0].second;

    if (v==w) return v;

    for (int j=19;j>=0;j--) if (sp1[v][j].second!=sp1[w][j].second){
        v = sp1[v][j].second;
        w = sp1[w][j].second;
    }
    prV = v, prW = w;
    return sp1[v][0].second;
}

int calc1(int x, int y, int w){
    int lca = get_lca(x, y);
    int ret = 0;

    if (x!=lca) ret = max(ret, dp_D[x]);
    if (y!=lca) ret = max(ret, dp_D[y]);

    int rdist = dep[x] + dep[y] - dep[lca]*2;

    int dist = dep[x] - dep[lca] - 1;
    for (int j=0;dist>0;j++) if (dist&(1<<j)){
        ret = max(ret, sp1[x][j].first);
        x = sp1[x][j].second;
        dist -= 1<<j;
    }

    dist = dep[y] - dep[lca] - 1;
    for (int j=0;dist>0;j++) if (dist&(1<<j)){
        ret = max(ret, sp1[y][j].first);
        y = sp1[y][j].second;
        dist -= 1<<j;
    }

    int S = 0, cnt = 0;
    for (int i=0;i<4;i++) if (Dc[lca][i].second!=x && Dc[lca][i].second!=y) ret = max(ret, Dc[lca][i].first);
    for (int i=0;i<4;i++) if (Fc[lca][i].second!=x && Fc[lca][i].second!=y){
        S += Fc[lca][i].first;
        cnt++;
        if (cnt==2) break;
    }
    ret = max(ret, S);

    return (n-1+w)*2 - ret - rdist - w;
}

int calc2(int x, int y, int w){
    int lca = get_lca(x, y);
    int ret = -1e9, rdist = dep[x] + dep[y] - dep[lca]*2;

    int val = -1;
    for (int i=0;i<4;i++) if (Fc[lca][i].second!=prV && Fc[lca][i].second!=prW) {val = Fc[lca][i].first; break;}
    assert(val!=-1);

    ///left chain
    int tx = x, ty = y;
    Node cur(-1e9, dp_far[tx] - dep[tx], dp_far[tx] + dep[tx]);
    Node Top(-1e9, val - dep[lca], val + dep[lca]);

    int dist = dep[tx] - dep[lca] - 1;
    for (int j=0;dist>0;j++) if (dist&(1<<j)){
        cur = cur + sp2[tx][j];
        tx = sp1[tx][j].second;
        dist -= 1<<j;
    }

    if (tx!=lca) cur = cur + Top;
    ret = max(ret, cur.ans);

    ///right chain
    cur = Node(-1e9, dp_far[ty] - dep[ty], dp_far[ty] + dep[ty]);
    dist = dep[ty] - dep[lca] - 1;
    for (int j=0;dist>0;j++) if (dist&(1<<j)){
        cur = cur + sp2[ty][j];
        ty = sp1[ty][j].second;
        dist -= 1<<j;
    }

    if (ty!=lca) cur = cur + Top;
    ret = max(ret, cur.ans);

    ///left and right
    if (x==lca || y==lca) return (n-2+w) * 2 - (rdist+w+ret);

    int L = dp_far[x] - dep[x], R = dp_far[y] - dep[y];
    tx = x, ty = y;

    dist = dep[tx] - dep[lca] - 1;
    for (int j=0;dist>0;j++) if (dist&(1<<j)){
        L = max(L, sp2[tx][j].a);
        tx = sp1[tx][j].second;
        dist -= 1<<j;
    }

    dist = dep[ty] - dep[lca] - 1;
    for (int j=0;dist>0;j++) if (dist&(1<<j)){
        R = max(R, sp2[ty][j].a);
        ty = sp1[ty][j].second;
        dist -= 1<<j;
    }

    ret = max(ret, L+R + dep[lca]*2);

    return (n-2+w) * 2 - (rdist+w+ret);
}

void Debug(){
    printf("dep: ");
    for (int i=0;i<n;i++) printf("%d ", dep[i]);
    printf("\npar: ");
    for (int i=0;i<n;i++) printf("%d ", par[i]);
    printf("\ndp_D: ");
    for (int i=0;i<n;i++) printf("%d ", dp_D[i]);
    printf("\ndp_far: ");
    for (int i=0;i<n;i++) printf("%d ", dp_far[i]);
    printf("\nD: ");
    for (int i=0;i<n;i++) printf("%d ", D[i]);
    printf("\ndeep: ");
    for (int i=0;i<n;i++) printf("%d ", deep[i]);
    printf("\ndp_parD: ");
    for (int i=0;i<n;i++) printf("%d ", dp_parD[i]);
    printf("\ndp_parF: ");
    for (int i=0;i<n;i++) printf("%d ", dp_parF[i]);
    printf("\n");
}

int main(){
    cin.tie(NULL);
    ios_base::sync_with_stdio(false);
    int m;
    cin >> n >> m;
    for (int i=1;i<=m;i++){
        int x, y, z;
        cin >> x >> y >> z;
        if (z!=1) {E.emplace_back(x, y, z); continue;}

        adj[x].push_back(y);
        adj[y].push_back(x);
    }

    dfs_dp1(0);
    dfs_dp2(0);

    //Debug();

    build(n);

    //if (n>80000) exit(0);

    int ans = (n-1)*2 - dp_D[0];

    for (auto &e:E){
        ans = min(ans, calc1(e.x, e.y, e.z));
        ans = min(ans, calc2(e.x, e.y, e.z));
    }

    printf("%d\n", ans);
    return 0;
}
# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 12108 KB Output is correct
2 Correct 6 ms 12108 KB Output is correct
3 Correct 7 ms 12108 KB Output is correct
4 Correct 7 ms 12108 KB Output is correct
5 Correct 6 ms 12156 KB Output is correct
6 Correct 6 ms 12108 KB Output is correct
7 Correct 7 ms 12108 KB Output is correct
8 Correct 6 ms 12108 KB Output is correct
9 Correct 6 ms 12108 KB Output is correct
10 Correct 6 ms 12108 KB Output is correct
11 Correct 6 ms 12108 KB Output is correct
12 Correct 8 ms 12104 KB Output is correct
13 Correct 6 ms 12088 KB Output is correct
14 Correct 7 ms 12108 KB Output is correct
15 Correct 6 ms 12136 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 12108 KB Output is correct
2 Correct 6 ms 12108 KB Output is correct
3 Correct 7 ms 12108 KB Output is correct
4 Correct 7 ms 12108 KB Output is correct
5 Correct 6 ms 12156 KB Output is correct
6 Correct 6 ms 12108 KB Output is correct
7 Correct 7 ms 12108 KB Output is correct
8 Correct 6 ms 12108 KB Output is correct
9 Correct 6 ms 12108 KB Output is correct
10 Correct 6 ms 12108 KB Output is correct
11 Correct 6 ms 12108 KB Output is correct
12 Correct 8 ms 12104 KB Output is correct
13 Correct 6 ms 12088 KB Output is correct
14 Correct 7 ms 12108 KB Output is correct
15 Correct 6 ms 12136 KB Output is correct
16 Correct 7 ms 12132 KB Output is correct
17 Correct 7 ms 12128 KB Output is correct
18 Correct 7 ms 12164 KB Output is correct
19 Correct 6 ms 12108 KB Output is correct
20 Correct 6 ms 12108 KB Output is correct
21 Correct 6 ms 12108 KB Output is correct
22 Correct 6 ms 12108 KB Output is correct
23 Correct 6 ms 12108 KB Output is correct
24 Correct 6 ms 12108 KB Output is correct
25 Correct 7 ms 12184 KB Output is correct
26 Correct 7 ms 12108 KB Output is correct
27 Correct 7 ms 12108 KB Output is correct
28 Correct 6 ms 12108 KB Output is correct
29 Correct 7 ms 12108 KB Output is correct
30 Correct 6 ms 12108 KB Output is correct
31 Correct 6 ms 12108 KB Output is correct
32 Correct 6 ms 12140 KB Output is correct
33 Correct 7 ms 12164 KB Output is correct
34 Correct 6 ms 12108 KB Output is correct
35 Correct 6 ms 12108 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 17 ms 15920 KB Output is correct
2 Correct 16 ms 16200 KB Output is correct
3 Correct 16 ms 15564 KB Output is correct
4 Correct 15 ms 15284 KB Output is correct
5 Correct 16 ms 15208 KB Output is correct
6 Correct 13 ms 14792 KB Output is correct
7 Correct 15 ms 16076 KB Output is correct
8 Correct 16 ms 15724 KB Output is correct
9 Correct 16 ms 16076 KB Output is correct
10 Correct 17 ms 15328 KB Output is correct
11 Correct 18 ms 15744 KB Output is correct
12 Correct 18 ms 15148 KB Output is correct
13 Correct 18 ms 15436 KB Output is correct
14 Correct 15 ms 15564 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 12108 KB Output is correct
2 Correct 6 ms 12108 KB Output is correct
3 Correct 7 ms 12108 KB Output is correct
4 Correct 7 ms 12108 KB Output is correct
5 Correct 6 ms 12156 KB Output is correct
6 Correct 6 ms 12108 KB Output is correct
7 Correct 7 ms 12108 KB Output is correct
8 Correct 6 ms 12108 KB Output is correct
9 Correct 6 ms 12108 KB Output is correct
10 Correct 6 ms 12108 KB Output is correct
11 Correct 6 ms 12108 KB Output is correct
12 Correct 8 ms 12104 KB Output is correct
13 Correct 6 ms 12088 KB Output is correct
14 Correct 7 ms 12108 KB Output is correct
15 Correct 6 ms 12136 KB Output is correct
16 Correct 7 ms 12132 KB Output is correct
17 Correct 7 ms 12128 KB Output is correct
18 Correct 7 ms 12164 KB Output is correct
19 Correct 6 ms 12108 KB Output is correct
20 Correct 6 ms 12108 KB Output is correct
21 Correct 6 ms 12108 KB Output is correct
22 Correct 6 ms 12108 KB Output is correct
23 Correct 6 ms 12108 KB Output is correct
24 Correct 6 ms 12108 KB Output is correct
25 Correct 7 ms 12184 KB Output is correct
26 Correct 7 ms 12108 KB Output is correct
27 Correct 7 ms 12108 KB Output is correct
28 Correct 6 ms 12108 KB Output is correct
29 Correct 7 ms 12108 KB Output is correct
30 Correct 6 ms 12108 KB Output is correct
31 Correct 6 ms 12108 KB Output is correct
32 Correct 6 ms 12140 KB Output is correct
33 Correct 7 ms 12164 KB Output is correct
34 Correct 6 ms 12108 KB Output is correct
35 Correct 6 ms 12108 KB Output is correct
36 Correct 7 ms 12228 KB Output is correct
37 Correct 6 ms 12232 KB Output is correct
38 Correct 7 ms 12228 KB Output is correct
39 Correct 6 ms 12108 KB Output is correct
40 Correct 7 ms 12132 KB Output is correct
41 Correct 6 ms 12108 KB Output is correct
42 Correct 6 ms 12236 KB Output is correct
43 Correct 6 ms 12236 KB Output is correct
44 Correct 6 ms 12136 KB Output is correct
45 Correct 6 ms 12108 KB Output is correct
46 Correct 9 ms 12108 KB Output is correct
47 Correct 7 ms 12108 KB Output is correct
48 Correct 6 ms 12108 KB Output is correct
49 Correct 8 ms 12108 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 12108 KB Output is correct
2 Correct 6 ms 12108 KB Output is correct
3 Correct 7 ms 12108 KB Output is correct
4 Correct 7 ms 12108 KB Output is correct
5 Correct 6 ms 12156 KB Output is correct
6 Correct 6 ms 12108 KB Output is correct
7 Correct 7 ms 12108 KB Output is correct
8 Correct 6 ms 12108 KB Output is correct
9 Correct 6 ms 12108 KB Output is correct
10 Correct 6 ms 12108 KB Output is correct
11 Correct 6 ms 12108 KB Output is correct
12 Correct 8 ms 12104 KB Output is correct
13 Correct 6 ms 12088 KB Output is correct
14 Correct 7 ms 12108 KB Output is correct
15 Correct 6 ms 12136 KB Output is correct
16 Correct 7 ms 12132 KB Output is correct
17 Correct 7 ms 12128 KB Output is correct
18 Correct 7 ms 12164 KB Output is correct
19 Correct 6 ms 12108 KB Output is correct
20 Correct 6 ms 12108 KB Output is correct
21 Correct 6 ms 12108 KB Output is correct
22 Correct 6 ms 12108 KB Output is correct
23 Correct 6 ms 12108 KB Output is correct
24 Correct 6 ms 12108 KB Output is correct
25 Correct 7 ms 12184 KB Output is correct
26 Correct 7 ms 12108 KB Output is correct
27 Correct 7 ms 12108 KB Output is correct
28 Correct 6 ms 12108 KB Output is correct
29 Correct 7 ms 12108 KB Output is correct
30 Correct 6 ms 12108 KB Output is correct
31 Correct 6 ms 12108 KB Output is correct
32 Correct 6 ms 12140 KB Output is correct
33 Correct 7 ms 12164 KB Output is correct
34 Correct 6 ms 12108 KB Output is correct
35 Correct 6 ms 12108 KB Output is correct
36 Correct 7 ms 12228 KB Output is correct
37 Correct 6 ms 12232 KB Output is correct
38 Correct 7 ms 12228 KB Output is correct
39 Correct 6 ms 12108 KB Output is correct
40 Correct 7 ms 12132 KB Output is correct
41 Correct 6 ms 12108 KB Output is correct
42 Correct 6 ms 12236 KB Output is correct
43 Correct 6 ms 12236 KB Output is correct
44 Correct 6 ms 12136 KB Output is correct
45 Correct 6 ms 12108 KB Output is correct
46 Correct 9 ms 12108 KB Output is correct
47 Correct 7 ms 12108 KB Output is correct
48 Correct 6 ms 12108 KB Output is correct
49 Correct 8 ms 12108 KB Output is correct
50 Correct 7 ms 12492 KB Output is correct
51 Correct 7 ms 12492 KB Output is correct
52 Correct 7 ms 12492 KB Output is correct
53 Correct 7 ms 12372 KB Output is correct
54 Correct 9 ms 12364 KB Output is correct
55 Correct 8 ms 12364 KB Output is correct
56 Correct 7 ms 12512 KB Output is correct
57 Correct 7 ms 12488 KB Output is correct
58 Correct 8 ms 12492 KB Output is correct
59 Correct 7 ms 12364 KB Output is correct
60 Correct 8 ms 12364 KB Output is correct
61 Correct 8 ms 12364 KB Output is correct
62 Correct 7 ms 12360 KB Output is correct
63 Correct 7 ms 12364 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 12108 KB Output is correct
2 Correct 6 ms 12108 KB Output is correct
3 Correct 7 ms 12108 KB Output is correct
4 Correct 7 ms 12108 KB Output is correct
5 Correct 6 ms 12156 KB Output is correct
6 Correct 6 ms 12108 KB Output is correct
7 Correct 7 ms 12108 KB Output is correct
8 Correct 6 ms 12108 KB Output is correct
9 Correct 6 ms 12108 KB Output is correct
10 Correct 6 ms 12108 KB Output is correct
11 Correct 6 ms 12108 KB Output is correct
12 Correct 8 ms 12104 KB Output is correct
13 Correct 6 ms 12088 KB Output is correct
14 Correct 7 ms 12108 KB Output is correct
15 Correct 6 ms 12136 KB Output is correct
16 Correct 7 ms 12132 KB Output is correct
17 Correct 7 ms 12128 KB Output is correct
18 Correct 7 ms 12164 KB Output is correct
19 Correct 6 ms 12108 KB Output is correct
20 Correct 6 ms 12108 KB Output is correct
21 Correct 6 ms 12108 KB Output is correct
22 Correct 6 ms 12108 KB Output is correct
23 Correct 6 ms 12108 KB Output is correct
24 Correct 6 ms 12108 KB Output is correct
25 Correct 7 ms 12184 KB Output is correct
26 Correct 7 ms 12108 KB Output is correct
27 Correct 7 ms 12108 KB Output is correct
28 Correct 6 ms 12108 KB Output is correct
29 Correct 7 ms 12108 KB Output is correct
30 Correct 6 ms 12108 KB Output is correct
31 Correct 6 ms 12108 KB Output is correct
32 Correct 6 ms 12140 KB Output is correct
33 Correct 7 ms 12164 KB Output is correct
34 Correct 6 ms 12108 KB Output is correct
35 Correct 6 ms 12108 KB Output is correct
36 Correct 17 ms 15920 KB Output is correct
37 Correct 16 ms 16200 KB Output is correct
38 Correct 16 ms 15564 KB Output is correct
39 Correct 15 ms 15284 KB Output is correct
40 Correct 16 ms 15208 KB Output is correct
41 Correct 13 ms 14792 KB Output is correct
42 Correct 15 ms 16076 KB Output is correct
43 Correct 16 ms 15724 KB Output is correct
44 Correct 16 ms 16076 KB Output is correct
45 Correct 17 ms 15328 KB Output is correct
46 Correct 18 ms 15744 KB Output is correct
47 Correct 18 ms 15148 KB Output is correct
48 Correct 18 ms 15436 KB Output is correct
49 Correct 15 ms 15564 KB Output is correct
50 Correct 7 ms 12228 KB Output is correct
51 Correct 6 ms 12232 KB Output is correct
52 Correct 7 ms 12228 KB Output is correct
53 Correct 6 ms 12108 KB Output is correct
54 Correct 7 ms 12132 KB Output is correct
55 Correct 6 ms 12108 KB Output is correct
56 Correct 6 ms 12236 KB Output is correct
57 Correct 6 ms 12236 KB Output is correct
58 Correct 6 ms 12136 KB Output is correct
59 Correct 6 ms 12108 KB Output is correct
60 Correct 9 ms 12108 KB Output is correct
61 Correct 7 ms 12108 KB Output is correct
62 Correct 6 ms 12108 KB Output is correct
63 Correct 8 ms 12108 KB Output is correct
64 Correct 7 ms 12492 KB Output is correct
65 Correct 7 ms 12492 KB Output is correct
66 Correct 7 ms 12492 KB Output is correct
67 Correct 7 ms 12372 KB Output is correct
68 Correct 9 ms 12364 KB Output is correct
69 Correct 8 ms 12364 KB Output is correct
70 Correct 7 ms 12512 KB Output is correct
71 Correct 7 ms 12488 KB Output is correct
72 Correct 8 ms 12492 KB Output is correct
73 Correct 7 ms 12364 KB Output is correct
74 Correct 8 ms 12364 KB Output is correct
75 Correct 8 ms 12364 KB Output is correct
76 Correct 7 ms 12360 KB Output is correct
77 Correct 7 ms 12364 KB Output is correct
78 Correct 16 ms 15740 KB Output is correct
79 Correct 16 ms 15820 KB Output is correct
80 Correct 17 ms 15548 KB Output is correct
81 Correct 15 ms 15524 KB Output is correct
82 Correct 15 ms 15180 KB Output is correct
83 Correct 12 ms 14796 KB Output is correct
84 Correct 15 ms 15692 KB Output is correct
85 Correct 15 ms 15820 KB Output is correct
86 Correct 16 ms 15908 KB Output is correct
87 Correct 16 ms 15436 KB Output is correct
88 Correct 16 ms 15436 KB Output is correct
89 Correct 15 ms 15308 KB Output is correct
90 Correct 13 ms 15312 KB Output is correct
91 Correct 12 ms 15436 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 12108 KB Output is correct
2 Correct 6 ms 12108 KB Output is correct
3 Correct 7 ms 12108 KB Output is correct
4 Correct 7 ms 12108 KB Output is correct
5 Correct 6 ms 12156 KB Output is correct
6 Correct 6 ms 12108 KB Output is correct
7 Correct 7 ms 12108 KB Output is correct
8 Correct 6 ms 12108 KB Output is correct
9 Correct 6 ms 12108 KB Output is correct
10 Correct 6 ms 12108 KB Output is correct
11 Correct 6 ms 12108 KB Output is correct
12 Correct 8 ms 12104 KB Output is correct
13 Correct 6 ms 12088 KB Output is correct
14 Correct 7 ms 12108 KB Output is correct
15 Correct 6 ms 12136 KB Output is correct
16 Correct 7 ms 12132 KB Output is correct
17 Correct 7 ms 12128 KB Output is correct
18 Correct 7 ms 12164 KB Output is correct
19 Correct 6 ms 12108 KB Output is correct
20 Correct 6 ms 12108 KB Output is correct
21 Correct 6 ms 12108 KB Output is correct
22 Correct 6 ms 12108 KB Output is correct
23 Correct 6 ms 12108 KB Output is correct
24 Correct 6 ms 12108 KB Output is correct
25 Correct 7 ms 12184 KB Output is correct
26 Correct 7 ms 12108 KB Output is correct
27 Correct 7 ms 12108 KB Output is correct
28 Correct 6 ms 12108 KB Output is correct
29 Correct 7 ms 12108 KB Output is correct
30 Correct 6 ms 12108 KB Output is correct
31 Correct 6 ms 12108 KB Output is correct
32 Correct 6 ms 12140 KB Output is correct
33 Correct 7 ms 12164 KB Output is correct
34 Correct 6 ms 12108 KB Output is correct
35 Correct 6 ms 12108 KB Output is correct
36 Correct 17 ms 15920 KB Output is correct
37 Correct 16 ms 16200 KB Output is correct
38 Correct 16 ms 15564 KB Output is correct
39 Correct 15 ms 15284 KB Output is correct
40 Correct 16 ms 15208 KB Output is correct
41 Correct 13 ms 14792 KB Output is correct
42 Correct 15 ms 16076 KB Output is correct
43 Correct 16 ms 15724 KB Output is correct
44 Correct 16 ms 16076 KB Output is correct
45 Correct 17 ms 15328 KB Output is correct
46 Correct 18 ms 15744 KB Output is correct
47 Correct 18 ms 15148 KB Output is correct
48 Correct 18 ms 15436 KB Output is correct
49 Correct 15 ms 15564 KB Output is correct
50 Correct 7 ms 12228 KB Output is correct
51 Correct 6 ms 12232 KB Output is correct
52 Correct 7 ms 12228 KB Output is correct
53 Correct 6 ms 12108 KB Output is correct
54 Correct 7 ms 12132 KB Output is correct
55 Correct 6 ms 12108 KB Output is correct
56 Correct 6 ms 12236 KB Output is correct
57 Correct 6 ms 12236 KB Output is correct
58 Correct 6 ms 12136 KB Output is correct
59 Correct 6 ms 12108 KB Output is correct
60 Correct 9 ms 12108 KB Output is correct
61 Correct 7 ms 12108 KB Output is correct
62 Correct 6 ms 12108 KB Output is correct
63 Correct 8 ms 12108 KB Output is correct
64 Correct 7 ms 12492 KB Output is correct
65 Correct 7 ms 12492 KB Output is correct
66 Correct 7 ms 12492 KB Output is correct
67 Correct 7 ms 12372 KB Output is correct
68 Correct 9 ms 12364 KB Output is correct
69 Correct 8 ms 12364 KB Output is correct
70 Correct 7 ms 12512 KB Output is correct
71 Correct 7 ms 12488 KB Output is correct
72 Correct 8 ms 12492 KB Output is correct
73 Correct 7 ms 12364 KB Output is correct
74 Correct 8 ms 12364 KB Output is correct
75 Correct 8 ms 12364 KB Output is correct
76 Correct 7 ms 12360 KB Output is correct
77 Correct 7 ms 12364 KB Output is correct
78 Correct 16 ms 15740 KB Output is correct
79 Correct 16 ms 15820 KB Output is correct
80 Correct 17 ms 15548 KB Output is correct
81 Correct 15 ms 15524 KB Output is correct
82 Correct 15 ms 15180 KB Output is correct
83 Correct 12 ms 14796 KB Output is correct
84 Correct 15 ms 15692 KB Output is correct
85 Correct 15 ms 15820 KB Output is correct
86 Correct 16 ms 15908 KB Output is correct
87 Correct 16 ms 15436 KB Output is correct
88 Correct 16 ms 15436 KB Output is correct
89 Correct 15 ms 15308 KB Output is correct
90 Correct 13 ms 15312 KB Output is correct
91 Correct 12 ms 15436 KB Output is correct
92 Correct 326 ms 64932 KB Output is correct
93 Correct 322 ms 64764 KB Output is correct
94 Correct 244 ms 61448 KB Output is correct
95 Correct 178 ms 65976 KB Output is correct
96 Correct 181 ms 65676 KB Output is correct
97 Correct 324 ms 73660 KB Output is correct
98 Correct 327 ms 75680 KB Output is correct
99 Correct 323 ms 64108 KB Output is correct
100 Correct 319 ms 65892 KB Output is correct
101 Correct 308 ms 63804 KB Output is correct
102 Correct 101 ms 54392 KB Output is correct
103 Correct 340 ms 71924 KB Output is correct
104 Correct 330 ms 66280 KB Output is correct
105 Correct 339 ms 68308 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 12108 KB Output is correct
2 Correct 6 ms 12108 KB Output is correct
3 Correct 7 ms 12108 KB Output is correct
4 Correct 7 ms 12108 KB Output is correct
5 Correct 6 ms 12156 KB Output is correct
6 Correct 6 ms 12108 KB Output is correct
7 Correct 7 ms 12108 KB Output is correct
8 Correct 6 ms 12108 KB Output is correct
9 Correct 6 ms 12108 KB Output is correct
10 Correct 6 ms 12108 KB Output is correct
11 Correct 6 ms 12108 KB Output is correct
12 Correct 8 ms 12104 KB Output is correct
13 Correct 6 ms 12088 KB Output is correct
14 Correct 7 ms 12108 KB Output is correct
15 Correct 6 ms 12136 KB Output is correct
16 Correct 7 ms 12132 KB Output is correct
17 Correct 7 ms 12128 KB Output is correct
18 Correct 7 ms 12164 KB Output is correct
19 Correct 6 ms 12108 KB Output is correct
20 Correct 6 ms 12108 KB Output is correct
21 Correct 6 ms 12108 KB Output is correct
22 Correct 6 ms 12108 KB Output is correct
23 Correct 6 ms 12108 KB Output is correct
24 Correct 6 ms 12108 KB Output is correct
25 Correct 7 ms 12184 KB Output is correct
26 Correct 7 ms 12108 KB Output is correct
27 Correct 7 ms 12108 KB Output is correct
28 Correct 6 ms 12108 KB Output is correct
29 Correct 7 ms 12108 KB Output is correct
30 Correct 6 ms 12108 KB Output is correct
31 Correct 6 ms 12108 KB Output is correct
32 Correct 6 ms 12140 KB Output is correct
33 Correct 7 ms 12164 KB Output is correct
34 Correct 6 ms 12108 KB Output is correct
35 Correct 6 ms 12108 KB Output is correct
36 Correct 17 ms 15920 KB Output is correct
37 Correct 16 ms 16200 KB Output is correct
38 Correct 16 ms 15564 KB Output is correct
39 Correct 15 ms 15284 KB Output is correct
40 Correct 16 ms 15208 KB Output is correct
41 Correct 13 ms 14792 KB Output is correct
42 Correct 15 ms 16076 KB Output is correct
43 Correct 16 ms 15724 KB Output is correct
44 Correct 16 ms 16076 KB Output is correct
45 Correct 17 ms 15328 KB Output is correct
46 Correct 18 ms 15744 KB Output is correct
47 Correct 18 ms 15148 KB Output is correct
48 Correct 18 ms 15436 KB Output is correct
49 Correct 15 ms 15564 KB Output is correct
50 Correct 7 ms 12228 KB Output is correct
51 Correct 6 ms 12232 KB Output is correct
52 Correct 7 ms 12228 KB Output is correct
53 Correct 6 ms 12108 KB Output is correct
54 Correct 7 ms 12132 KB Output is correct
55 Correct 6 ms 12108 KB Output is correct
56 Correct 6 ms 12236 KB Output is correct
57 Correct 6 ms 12236 KB Output is correct
58 Correct 6 ms 12136 KB Output is correct
59 Correct 6 ms 12108 KB Output is correct
60 Correct 9 ms 12108 KB Output is correct
61 Correct 7 ms 12108 KB Output is correct
62 Correct 6 ms 12108 KB Output is correct
63 Correct 8 ms 12108 KB Output is correct
64 Correct 7 ms 12492 KB Output is correct
65 Correct 7 ms 12492 KB Output is correct
66 Correct 7 ms 12492 KB Output is correct
67 Correct 7 ms 12372 KB Output is correct
68 Correct 9 ms 12364 KB Output is correct
69 Correct 8 ms 12364 KB Output is correct
70 Correct 7 ms 12512 KB Output is correct
71 Correct 7 ms 12488 KB Output is correct
72 Correct 8 ms 12492 KB Output is correct
73 Correct 7 ms 12364 KB Output is correct
74 Correct 8 ms 12364 KB Output is correct
75 Correct 8 ms 12364 KB Output is correct
76 Correct 7 ms 12360 KB Output is correct
77 Correct 7 ms 12364 KB Output is correct
78 Correct 16 ms 15740 KB Output is correct
79 Correct 16 ms 15820 KB Output is correct
80 Correct 17 ms 15548 KB Output is correct
81 Correct 15 ms 15524 KB Output is correct
82 Correct 15 ms 15180 KB Output is correct
83 Correct 12 ms 14796 KB Output is correct
84 Correct 15 ms 15692 KB Output is correct
85 Correct 15 ms 15820 KB Output is correct
86 Correct 16 ms 15908 KB Output is correct
87 Correct 16 ms 15436 KB Output is correct
88 Correct 16 ms 15436 KB Output is correct
89 Correct 15 ms 15308 KB Output is correct
90 Correct 13 ms 15312 KB Output is correct
91 Correct 12 ms 15436 KB Output is correct
92 Correct 326 ms 64932 KB Output is correct
93 Correct 322 ms 64764 KB Output is correct
94 Correct 244 ms 61448 KB Output is correct
95 Correct 178 ms 65976 KB Output is correct
96 Correct 181 ms 65676 KB Output is correct
97 Correct 324 ms 73660 KB Output is correct
98 Correct 327 ms 75680 KB Output is correct
99 Correct 323 ms 64108 KB Output is correct
100 Correct 319 ms 65892 KB Output is correct
101 Correct 308 ms 63804 KB Output is correct
102 Correct 101 ms 54392 KB Output is correct
103 Correct 340 ms 71924 KB Output is correct
104 Correct 330 ms 66280 KB Output is correct
105 Correct 339 ms 68308 KB Output is correct
106 Correct 4604 ms 443716 KB Output is correct
107 Correct 4783 ms 437784 KB Output is correct
108 Correct 6813 ms 347968 KB Output is correct
109 Correct 6653 ms 344080 KB Output is correct
110 Correct 6111 ms 345144 KB Output is correct
111 Correct 1367 ms 288108 KB Output is correct
112 Correct 4543 ms 431872 KB Output is correct
113 Correct 6242 ms 379900 KB Output is correct
114 Correct 6575 ms 386744 KB Output is correct
115 Correct 6690 ms 341560 KB Output is correct
116 Correct 6456 ms 360088 KB Output is correct
117 Correct 4030 ms 361656 KB Output is correct
118 Correct 1638 ms 346612 KB Output is correct
119 Correct 1557 ms 322304 KB Output is correct