oj.uz

Submission #284129

# Submission time Handle Problem Language Result Execution time Memory
284129 2020-08-26T21:59:39 Z duality Village (BOI20_village) C++11
100 / 100
 229 ms 24864 KB 
#define DEBUG 0

#include <bits/stdc++.h>
using namespace std;

#if DEBUG
// basic debugging macros
int __i__,__j__;
#define printLine(l) for(__i__=0;__i__<l;__i__++){cout<<"-";}cout<<endl
#define printLine2(l,c) for(__i__=0;__i__<l;__i__++){cout<<c;}cout<<endl
#define printVar(n) cout<<#n<<": "<<n<<endl
#define printArr(a,l) cout<<#a<<": ";for(__i__=0;__i__<l;__i__++){cout<<a[__i__]<<" ";}cout<<endl
#define print2dArr(a,r,c) cout<<#a<<":\n";for(__i__=0;__i__<r;__i__++){for(__j__=0;__j__<c;__j__++){cout<<a[__i__][__j__]<<" ";}cout<<endl;}
#define print2dArr2(a,r,c,l) cout<<#a<<":\n";for(__i__=0;__i__<r;__i__++){for(__j__=0;__j__<c;__j__++){cout<<setw(l)<<setfill(' ')<<a[__i__][__j__]<<" ";}cout<<endl;}

// advanced debugging class
// debug 1,2,'A',"test";
class _Debug {
    public:
        template<typename T>
        _Debug& operator,(T val) {
            cout << val << endl;
            return *this;
        }
};
#define debug _Debug(),
#else
#define printLine(l)
#define printLine2(l,c)
#define printVar(n)
#define printArr(a,l)
#define print2dArr(a,r,c)
#define print2dArr2(a,r,c,l)
#define debug
#endif

// define
#define MAX_VAL 999999999
#define MAX_VAL_2 999999999999999999LL
#define EPS 1e-6
#define mp make_pair
#define pb push_back

// typedef
typedef unsigned int UI;
typedef long long int LLI;
typedef unsigned long long int ULLI;
typedef unsigned short int US;
typedef pair<int,int> pii;
typedef pair<LLI,LLI> plli;
typedef vector<int> vi;
typedef vector<LLI> vlli;
typedef vector<pii> vpii;
typedef vector<plli> vplli;

// ---------- END OF TEMPLATE ----------

vi adjList[100000];
int parent[100000],size[100000];
LLI dp[100000][2];
int doDFS(int u,int p) {
    int i;
    LLI m = 1e9;
    parent[u] = p,size[u] = 1;
    for (i = 0; i < adjList[u].size(); i++) {
        int v = adjList[u][i];
        if (v != p) {
            size[u] += doDFS(v,u);
            dp[u][0] += dp[v][1];
            dp[u][1] += min(dp[v][0]+1,dp[v][1]);
            m = min(m,min(dp[v][0],dp[v][1])+1-min(dp[v][0]+1,dp[v][1]));
        }
    }
    dp[u][1] += m;
    dp[u][0] = min(dp[u][0],(LLI) 1e9),dp[u][1] = min(dp[u][1],(LLI) 1e9);
    return size[u];
}
vi adjList2[100000];
int getAns(int u,int p,int t) {
    int i;
    if (t == 0) {
        for (i = 0; i < adjList[u].size(); i++) {
            int v = adjList[u][i];
            if (v != p) getAns(v,u,1);
        }
    }
    else {
        LLI m = 1e9;
        for (i = 0; i < adjList[u].size(); i++) {
            int v = adjList[u][i];
            if (v != p) m = min(m,min(dp[v][0],dp[v][1])+1-min(dp[v][0]+1,dp[v][1]));
        }
        m = max(m,0LL);
        for (i = 0; i < adjList[u].size(); i++) {
            int v = adjList[u][i];
            if (v != p) {
                if (min(dp[v][0],dp[v][1])+1-min(dp[v][0]+1,dp[v][1]) <= m) {
                    adjList2[u].pb(v);
                    adjList2[v].pb(u);
                    getAns(v,u,dp[v][1] < dp[v][0]);
                    m = 0;
                }
                else getAns(v,u,dp[v][1] < dp[v][0]+1);
            }
        }
    }
    return 0;
}
vi order;
int visited[100000];
int doDFS2(int u,int p) {
    int i;
    order.pb(u),visited[u] = 1;
    for (i = 0; i < adjList2[u].size(); i++) {
        int v = adjList2[u][i];
        if (v != p) doDFS2(v,u);
    }
    return 0;
}
int doDFS3(int u,int p) {
    int i;
    order.pb(u);
    for (i = 0; i < adjList[u].size(); i++) {
        int v = adjList[u][i];
        if (v != p) doDFS3(v,u);
    }
    return 0;
}
int ans[100000];
int main() {
    int i;
    int N,a,b;
    scanf("%d",&N);
    for (i = 0; i < N-1; i++) {
        scanf("%d %d",&a,&b);
        a--,b--;
        adjList[a].pb(b);
        adjList[b].pb(a);
    }

    int j;
    LLI sum = 0;
    doDFS(0,-1);
    for (i = 1; i < N; i++) sum += 2*min(size[i],N-size[i]);
    printf("%lld %lld\n",2*dp[0][1],sum);
    getAns(0,-1,1);
    for (i = 0; i < N; i++) {
        if (!visited[i]) {
            doDFS2(i,-1);
            for (j = 0; j < order.size(); j++) ans[order[j]] = order[(j+1) % order.size()];
            order.clear();
        }
    }
    for (i = 0; i < N; i++) printf("%d ",ans[i]+1);
    printf("\n");

    for (i = 0; i < N; i++) {
        for (j = 0; j < adjList[i].size(); j++) {
            int v = adjList[i][j];
            if ((v == parent[i]) && (N-size[i] > N/2)) break;
            else if ((v != parent[i]) && (size[v] > N/2)) break;
        }
        if (j == adjList[i].size()) break;
    }
    int c = i;
    for (i = 0; i < adjList[c].size(); i++) doDFS3(adjList[c][i],c);
    if (!(N & 1)) order.pb(c);
    for (i = 0; i < order.size(); i++) ans[order[i]] = order[(i+(order.size()/2)) % order.size()];
    if (N & 1) ans[c] = ans[order[0]],ans[order[0]] = c;
    for (i = 0; i < N; i++) printf("%d ",ans[i]+1);
    printf("\n");

    return 0;
}

Compilation message

Village.cpp: In function 'int doDFS(int, int)':
Village.cpp:65:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   65 |     for (i = 0; i < adjList[u].size(); i++) {
      |                 ~~^~~~~~~~~~~~~~~~~~~
Village.cpp: In function 'int getAns(int, int, int)':
Village.cpp:82:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   82 |         for (i = 0; i < adjList[u].size(); i++) {
      |                     ~~^~~~~~~~~~~~~~~~~~~
Village.cpp:89:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   89 |         for (i = 0; i < adjList[u].size(); i++) {
      |                     ~~^~~~~~~~~~~~~~~~~~~
Village.cpp:94:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   94 |         for (i = 0; i < adjList[u].size(); i++) {
      |                     ~~^~~~~~~~~~~~~~~~~~~
Village.cpp: In function 'int doDFS2(int, int)':
Village.cpp:114:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  114 |     for (i = 0; i < adjList2[u].size(); i++) {
      |                 ~~^~~~~~~~~~~~~~~~~~~~
Village.cpp: In function 'int doDFS3(int, int)':
Village.cpp:123:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  123 |     for (i = 0; i < adjList[u].size(); i++) {
      |                 ~~^~~~~~~~~~~~~~~~~~~
Village.cpp: In function 'int main()':
Village.cpp:150:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  150 |             for (j = 0; j < order.size(); j++) ans[order[j]] = order[(j+1) % order.size()];
      |                         ~~^~~~~~~~~~~~~~
Village.cpp:158:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  158 |         for (j = 0; j < adjList[i].size(); j++) {
      |                     ~~^~~~~~~~~~~~~~~~~~~
Village.cpp:163:15: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  163 |         if (j == adjList[i].size()) break;
      |             ~~^~~~~~~~~~~~~~~~~~~~
Village.cpp:166:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  166 |     for (i = 0; i < adjList[c].size(); i++) doDFS3(adjList[c][i],c);
      |                 ~~^~~~~~~~~~~~~~~~~~~
Village.cpp:168:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  168 |     for (i = 0; i < order.size(); i++) ans[order[i]] = order[(i+(order.size()/2)) % order.size()];
      |                 ~~^~~~~~~~~~~~~~
Village.cpp:133:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  133 |     scanf("%d",&N);
      |     ~~~~~^~~~~~~~~
Village.cpp:135:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  135 |         scanf("%d %d",&a,&b);
      |         ~~~~~^~~~~~~~~~~~~~~

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 4992 KB Output is correct
2 Correct 4 ms 4992 KB Output is correct
3 Correct 4 ms 4992 KB Output is correct
4 Correct 4 ms 5080 KB Output is correct
5 Correct 4 ms 4992 KB Output is correct
6 Correct 4 ms 4992 KB Output is correct
7 Correct 4 ms 4992 KB Output is correct
8 Correct 3 ms 4992 KB Output is correct
9 Correct 4 ms 4992 KB Output is correct
10 Correct 4 ms 4992 KB Output is correct
11 Correct 4 ms 4992 KB Output is correct
12 Correct 4 ms 4992 KB Output is correct
13 Correct 5 ms 4992 KB Output is correct
14 Correct 4 ms 4992 KB Output is correct
15 Correct 5 ms 4992 KB Output is correct
16 Correct 4 ms 4992 KB Output is correct
17 Correct 4 ms 5084 KB Output is correct

Subtask #2
38.0 / 38.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 5120 KB Output is correct
2 Correct 4 ms 5120 KB Output is correct
3 Correct 5 ms 5120 KB Output is correct
4 Correct 6 ms 5248 KB Output is correct
5 Correct 5 ms 5120 KB Output is correct
6 Correct 5 ms 5120 KB Output is correct
7 Correct 5 ms 5248 KB Output is correct
8 Correct 5 ms 5120 KB Output is correct
9 Correct 5 ms 5120 KB Output is correct
10 Correct 4 ms 5248 KB Output is correct
11 Correct 5 ms 5120 KB Output is correct
12 Correct 5 ms 5120 KB Output is correct
13 Correct 5 ms 5248 KB Output is correct
14 Correct 5 ms 5224 KB Output is correct
15 Correct 5 ms 5120 KB Output is correct
16 Correct 5 ms 5120 KB Output is correct
17 Correct 5 ms 5248 KB Output is correct
18 Correct 5 ms 5120 KB Output is correct
19 Correct 5 ms 5120 KB Output is correct
20 Correct 4 ms 5120 KB Output is correct
21 Correct 5 ms 5120 KB Output is correct
22 Correct 5 ms 5120 KB Output is correct
23 Correct 4 ms 5120 KB Output is correct
24 Correct 4 ms 5120 KB Output is correct
25 Correct 5 ms 5120 KB Output is correct
26 Correct 5 ms 5120 KB Output is correct
27 Correct 4 ms 5120 KB Output is correct
28 Correct 5 ms 5120 KB Output is correct
29 Correct 5 ms 5232 KB Output is correct
30 Correct 5 ms 5120 KB Output is correct

Subtask #3
50.0 / 50.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 4992 KB Output is correct
2 Correct 4 ms 4992 KB Output is correct
3 Correct 4 ms 4992 KB Output is correct
4 Correct 4 ms 5080 KB Output is correct
5 Correct 4 ms 4992 KB Output is correct
6 Correct 4 ms 4992 KB Output is correct
7 Correct 4 ms 4992 KB Output is correct
8 Correct 3 ms 4992 KB Output is correct
9 Correct 4 ms 4992 KB Output is correct
10 Correct 4 ms 4992 KB Output is correct
11 Correct 4 ms 4992 KB Output is correct
12 Correct 4 ms 4992 KB Output is correct
13 Correct 5 ms 4992 KB Output is correct
14 Correct 4 ms 4992 KB Output is correct
15 Correct 5 ms 4992 KB Output is correct
16 Correct 4 ms 4992 KB Output is correct
17 Correct 4 ms 5084 KB Output is correct
18 Correct 4 ms 5120 KB Output is correct
19 Correct 4 ms 5120 KB Output is correct
20 Correct 5 ms 5120 KB Output is correct
21 Correct 6 ms 5248 KB Output is correct
22 Correct 5 ms 5120 KB Output is correct
23 Correct 5 ms 5120 KB Output is correct
24 Correct 5 ms 5248 KB Output is correct
25 Correct 5 ms 5120 KB Output is correct
26 Correct 5 ms 5120 KB Output is correct
27 Correct 4 ms 5248 KB Output is correct
28 Correct 5 ms 5120 KB Output is correct
29 Correct 5 ms 5120 KB Output is correct
30 Correct 5 ms 5248 KB Output is correct
31 Correct 5 ms 5224 KB Output is correct
32 Correct 5 ms 5120 KB Output is correct
33 Correct 5 ms 5120 KB Output is correct
34 Correct 5 ms 5248 KB Output is correct
35 Correct 5 ms 5120 KB Output is correct
36 Correct 5 ms 5120 KB Output is correct
37 Correct 4 ms 5120 KB Output is correct
38 Correct 5 ms 5120 KB Output is correct
39 Correct 5 ms 5120 KB Output is correct
40 Correct 4 ms 5120 KB Output is correct
41 Correct 4 ms 5120 KB Output is correct
42 Correct 5 ms 5120 KB Output is correct
43 Correct 5 ms 5120 KB Output is correct
44 Correct 4 ms 5120 KB Output is correct
45 Correct 5 ms 5120 KB Output is correct
46 Correct 5 ms 5232 KB Output is correct
47 Correct 5 ms 5120 KB Output is correct
48 Correct 159 ms 16400 KB Output is correct
49 Correct 162 ms 17400 KB Output is correct
50 Correct 174 ms 17508 KB Output is correct
51 Correct 119 ms 14704 KB Output is correct
52 Correct 165 ms 17344 KB Output is correct
53 Correct 155 ms 16112 KB Output is correct
54 Correct 77 ms 14712 KB Output is correct
55 Correct 208 ms 24864 KB Output is correct
56 Correct 212 ms 20848 KB Output is correct
57 Correct 220 ms 19524 KB Output is correct
58 Correct 229 ms 18540 KB Output is correct
59 Correct 182 ms 17524 KB Output is correct
60 Correct 127 ms 18032 KB Output is correct
61 Correct 147 ms 18332 KB Output is correct
62 Correct 164 ms 18288 KB Output is correct
63 Correct 145 ms 17476 KB Output is correct
64 Correct 145 ms 18164 KB Output is correct
65 Correct 149 ms 18416 KB Output is correct
66 Correct 124 ms 17604 KB Output is correct
67 Correct 99 ms 14704 KB Output is correct
68 Correct 121 ms 16368 KB Output is correct
69 Correct 161 ms 18524 KB Output is correct
70 Correct 122 ms 17652 KB Output is correct
71 Correct 90 ms 14324 KB Output is correct
72 Correct 130 ms 15724 KB Output is correct
73 Correct 151 ms 18420 KB Output is correct
74 Correct 133 ms 17332 KB Output is correct
75 Correct 203 ms 17372 KB Output is correct
76 Correct 202 ms 17268 KB Output is correct
77 Correct 155 ms 17600 KB Output is correct
78 Correct 84 ms 13596 KB Output is correct
79 Correct 118 ms 14900 KB Output is correct
80 Correct 182 ms 17356 KB Output is correct
81 Correct 148 ms 17784 KB Output is correct
82 Correct 146 ms 17972 KB Output is correct