oj.uz

Submission #124294

# Submission time Handle Problem Language Result Execution time Memory
124294 2019-07-03T00:44:16 Z duality Unique Cities (JOI19_ho_t5) C++11
68 / 100
 2000 ms 107496 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 ----------
#pragma GCC optimize("Ofast")
#pragma GCC target("avx,avx2,fma")

int N,logn;
vi adjList[200000];
int C[200000];
int parent[200000][18],height[200000],node[200000];
int depth[200000],disc[200000],fin[200000],inv[200000],num = 0;
int doDFS(int u,int p,int d) {
    int i;
    parent[u][0] = p,height[u] = 0,node[u] = u;
    depth[u] = d,disc[u] = num++,inv[num-1] = u;
    for (i = 0; i < adjList[u].size(); i++) {
        int v = adjList[u][i];
        if (v != p) {
            doDFS(v,u,d+1);
            if (height[v]+1 > height[u]) {
                height[u] = height[v]+1,node[u] = node[v];
                if (!(height[u] & 1)) node[u] = parent[node[u]][0];
            }
        }
    }
    fin[u] = num;
    return 0;
}
int moveToward(int u,int v) {
    if (u == -1) return 0;
    if ((disc[v] >= disc[u]) && (disc[v] < fin[u])) {
        int i;
        for (i = logn-1; i >= 0; i--) {
            if ((parent[v][i] != -1) && (depth[parent[v][i]] > depth[u])) v = parent[v][i];
        }
        return v;
    }
    else return parent[u][0];
}
int height2[200000],node2[200000];
int doDFS2(int u,int p) {
    int i;
    int m1 = height2[u],m2 = height2[u],p1 = u,p2 = u;
    for (i = 0; i < adjList[u].size(); i++) {
        int v = adjList[u][i];
        if (v != p) {
            if (height[v]+1 >= m1) m2 = m1,p2 = p1,m1 = height[v]+1,p1 = v;
            else if (height[v]+1 >= m2) m2 = height[v]+1,p2 = v;
        }
    }
    for (i = 0; i < adjList[u].size(); i++) {
        int v = adjList[u][i];
        if (v != p) {
            if (v == p1) height2[v] = m2+1,node2[v] = (p2 == u) ? node2[p2]:node[p2];
            else height2[v] = m1+1,node2[v] = (p1 == u) ? node2[p1]:node[p1];
            if (height2[v] & 1) node2[v] = moveToward(node2[v],v);
            doDFS2(v,u);
        }
    }
    return 0;
}
vpii cand,queries[200000];
int mm[400000];
int tree[1 << 19],lazy[1 << 19];
int prop(int s,int e,int i) {
    tree[i] += lazy[i];
    if (s != e) lazy[2*i+1] += lazy[i],lazy[2*i+2] += lazy[i];
    lazy[i] = 0;
    return 0;
}
int build(int s,int e,int i) {
    if (s == e) {
        tree[i] = depth[inv[s]];
        return tree[i];
    }

    int mid = (s+e) / 2;
    tree[i] = max(build(s,mid,2*i+1),build(mid+1,e,2*i+2));
    return tree[i];
}
int update(int s,int e,int as,int ae,int i,int num) {
    prop(s,e,i);
    if ((s > ae) || (e < as)) return tree[i];
    else if ((s >= as) && (e <= ae)) {
        lazy[i] += num;
        prop(s,e,i);
        return tree[i];
    }

    int mid = (s+e) / 2;
    tree[i] = max(update(s,mid,as,ae,2*i+1,num),update(mid+1,e,as,ae,2*i+2,num));
    return tree[i];
}
int query(int s,int e,int qs,int qe,int i) {
    prop(s,e,i);
    if ((s > qe) || (e < qs)) return 0;
    else if ((s >= qs) && (e <= qe)) return tree[i];

    int mid = (s+e) / 2;
    return max(query(s,mid,qs,qe,2*i+1),query(mid+1,e,qs,qe,2*i+2));
}
int doDFS3(int u,int p) {
    int i;
    for (i = 0; i < queries[u].size(); i++) {
        int v = queries[u][i].first;
        mm[queries[u][i].second] -= query(0,N-1,disc[v],disc[v],0);
        if ((disc[u] >= disc[v]) && (disc[u] < fin[v])) {
            v = moveToward(v,u);
            mm[queries[u][i].second] += query(0,N-1,disc[v],fin[v]-1,0);
        }
        else {
            int m = query(0,N-1,fin[v],N-1,0);
            if (m >= -mm[queries[u][i].second]) mm[queries[u][i].second] = 0;
            else mm[queries[u][i].second] += max(m,query(0,N-1,0,disc[v]-1,0));
        }
    }
    for (i = 0; i < adjList[u].size(); i++) {
        int v = adjList[u][i];
        if (v != p) {
            update(0,N-1,0,N-1,0,1),update(0,N-1,disc[v],fin[v]-1,0,-2);
            doDFS3(v,u);
            update(0,N-1,0,N-1,0,-1),update(0,N-1,disc[v],fin[v]-1,0,2);
        }
    }
    return 0;
}
int c[200000],n = 0;
vi tree2[1 << 19];
int ans[200000];
int add(int s,int e,int as,int ae,int i,int num) {
    if ((s > ae) || (e < as)) return 0;
    else if ((s >= as) && (e <= ae)) {
        tree2[i].pb(num);
        return 0;
    }

    int mid = (s+e) / 2;
    add(s,mid,as,ae,2*i+1,num),add(mid+1,e,as,ae,2*i+2,num);
    return 0;
}
int process(int s,int e,int i) {
    if (s == e) {
        int j;
        for (j = 0; j < tree2[i].size(); j++) {
            if (c[tree2[i][j]] == 0) n++;
            c[tree2[i][j]]++;
        }
        ans[inv[s]] = n;
        for (j = 0; j < tree2[i].size(); j++) {
            if (c[tree2[i][j]] == 1) n--;
            c[tree2[i][j]]--;
        }
        return 0;
    }

    int j,mid = (s+e) / 2;
    for (j = 0; j < tree2[i].size(); j++) {
        if (c[tree2[i][j]] == 0) n++;
        c[tree2[i][j]]++;
    }
    process(s,mid,2*i+1),process(mid+1,e,2*i+2);
    for (j = 0; j < tree2[i].size(); j++) {
        if (c[tree2[i][j]] == 1) n--;
        c[tree2[i][j]]--;
    }
    return 0;
}
int main() {
    int i;
    int M,A,B;
    scanf("%d %d",&N,&M);
    for (i = 0; i < N-1; i++) {
        scanf("%d %d",&A,&B);
        A--,B--;
        adjList[A].pb(B);
        adjList[B].pb(A);
    }
    for (i = 0; i < N; i++) scanf("%d",&C[i]),C[i]--;

    int j;
    doDFS(0,-1,0);
    for (i = 1; (1 << i) < N; i++) {
        for (j = 0; j < N; j++) {
            if (parent[j][i-1] != -1) parent[j][i] = parent[parent[j][i-1]][i-1];
            else parent[j][i] = -1;
        }
    }
    logn = i;
    height2[0] = 0,node2[0] = -1;
    doDFS2(0,-1);
    for (i = 1; i < N; i++) {
        cand.pb(mp(parent[i][0],node[i]));
        cand.pb(mp(i,node2[i]));
    }
    for (i = 0; i < cand.size(); i++) queries[cand[i].second].pb(mp(cand[i].first,i));
    build(0,N-1,0);
    doDFS3(0,-1);
    for (i = 0; i < cand.size(); i++) {
        if (mm[i] < 0) {
            int u = cand[i].first,v = cand[i].second;
            if ((disc[u] >= disc[v]) && (disc[u] < fin[v])) {
                v = moveToward(v,u);
                add(0,N-1,fin[v],N-1,0,C[u]),add(0,N-1,0,disc[v]-1,0,C[u]);
            }
            else add(0,N-1,disc[v],fin[v]-1,0,C[u]);
        }
    }
    process(0,N-1,0);
    for (i = 0; i < N; i++) printf("%d\n",ans[i]);

    return 0;
}

Compilation message

joi2019_ho_t5.cpp: In function 'int doDFS(int, int, int)':
joi2019_ho_t5.cpp:69:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (i = 0; i < adjList[u].size(); i++) {
                 ~~^~~~~~~~~~~~~~~~~~~
joi2019_ho_t5.cpp: In function 'int doDFS2(int, int)':
joi2019_ho_t5.cpp:97:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (i = 0; i < adjList[u].size(); i++) {
                 ~~^~~~~~~~~~~~~~~~~~~
joi2019_ho_t5.cpp:104:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (i = 0; i < adjList[u].size(); i++) {
                 ~~^~~~~~~~~~~~~~~~~~~
joi2019_ho_t5.cpp: In function 'int doDFS3(int, int)':
joi2019_ho_t5.cpp:157:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (i = 0; i < queries[u].size(); i++) {
                 ~~^~~~~~~~~~~~~~~~~~~
joi2019_ho_t5.cpp:170:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (i = 0; i < adjList[u].size(); i++) {
                 ~~^~~~~~~~~~~~~~~~~~~
joi2019_ho_t5.cpp: In function 'int process(int, int, int)':
joi2019_ho_t5.cpp:197:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for (j = 0; j < tree2[i].size(); j++) {
                     ~~^~~~~~~~~~~~~~~~~
joi2019_ho_t5.cpp:202:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for (j = 0; j < tree2[i].size(); j++) {
                     ~~^~~~~~~~~~~~~~~~~
joi2019_ho_t5.cpp:210:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (j = 0; j < tree2[i].size(); j++) {
                 ~~^~~~~~~~~~~~~~~~~
joi2019_ho_t5.cpp:215:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (j = 0; j < tree2[i].size(); j++) {
                 ~~^~~~~~~~~~~~~~~~~
joi2019_ho_t5.cpp: In function 'int main()':
joi2019_ho_t5.cpp:248:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (i = 0; i < cand.size(); i++) queries[cand[i].second].pb(mp(cand[i].first,i));
                 ~~^~~~~~~~~~~~~
joi2019_ho_t5.cpp:251:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (i = 0; i < cand.size(); i++) {
                 ~~^~~~~~~~~~~~~
joi2019_ho_t5.cpp:224:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d %d",&N,&M);
     ~~~~~^~~~~~~~~~~~~~~
joi2019_ho_t5.cpp:226:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
         scanf("%d %d",&A,&B);
         ~~~~~^~~~~~~~~~~~~~~
joi2019_ho_t5.cpp:231:46: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     for (i = 0; i < N; i++) scanf("%d",&C[i]),C[i]--;
                             ~~~~~~~~~~~~~~~~~^~~~~~~

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 22136 KB Output is correct
2 Correct 26 ms 22392 KB Output is correct
3 Correct 23 ms 22520 KB Output is correct
4 Correct 27 ms 22776 KB Output is correct
5 Correct 26 ms 22520 KB Output is correct
6 Correct 29 ms 22776 KB Output is correct
7 Correct 27 ms 22648 KB Output is correct
8 Correct 27 ms 22648 KB Output is correct
9 Correct 26 ms 22520 KB Output is correct
10 Correct 26 ms 22648 KB Output is correct
11 Correct 27 ms 22648 KB Output is correct
12 Correct 26 ms 22652 KB Output is correct
13 Correct 29 ms 22908 KB Output is correct
14 Correct 27 ms 22648 KB Output is correct
15 Correct 27 ms 22648 KB Output is correct
16 Correct 26 ms 22620 KB Output is correct
17 Correct 28 ms 22776 KB Output is correct
18 Correct 27 ms 22648 KB Output is correct
19 Correct 26 ms 22520 KB Output is correct
20 Correct 28 ms 22776 KB Output is correct
21 Correct 27 ms 22648 KB Output is correct
22 Correct 26 ms 22520 KB Output is correct
23 Correct 26 ms 22648 KB Output is correct
24 Correct 27 ms 22608 KB Output is correct
25 Correct 26 ms 22520 KB Output is correct
26 Correct 25 ms 22648 KB Output is correct
27 Correct 28 ms 22776 KB Output is correct
28 Correct 27 ms 22776 KB Output is correct
29 Correct 27 ms 22648 KB Output is correct
30 Correct 25 ms 22648 KB Output is correct
31 Correct 28 ms 22776 KB Output is correct
32 Correct 27 ms 22652 KB Output is correct

Subtask #2
32.0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 595 ms 49000 KB Output is correct
2 Correct 1053 ms 72420 KB Output is correct
3 Correct 151 ms 30580 KB Output is correct
4 Correct 1012 ms 69236 KB Output is correct
5 Correct 1688 ms 103052 KB Output is correct
6 Correct 1486 ms 85808 KB Output is correct
7 Correct 1014 ms 69156 KB Output is correct
8 Correct 1136 ms 71064 KB Output is correct
9 Correct 1150 ms 70628 KB Output is correct
10 Correct 1219 ms 70760 KB Output is correct
11 Correct 974 ms 73644 KB Output is correct
12 Correct 1769 ms 95300 KB Output is correct
13 Correct 1535 ms 86476 KB Output is correct
14 Correct 1416 ms 85508 KB Output is correct
15 Correct 990 ms 74348 KB Output is correct
16 Correct 1645 ms 98828 KB Output is correct
17 Correct 1397 ms 85080 KB Output is correct

Subtask #3
32.0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 813 ms 60636 KB Output is correct
2 Correct 1787 ms 104472 KB Output is correct
3 Correct 177 ms 31876 KB Output is correct
4 Correct 1082 ms 69772 KB Output is correct
5 Correct 1880 ms 104156 KB Output is correct
6 Correct 1407 ms 82956 KB Output is correct
7 Correct 1024 ms 69824 KB Output is correct
8 Correct 1166 ms 73808 KB Output is correct
9 Correct 1141 ms 72684 KB Output is correct
10 Correct 1120 ms 71656 KB Output is correct
11 Correct 1010 ms 71264 KB Output is correct
12 Correct 1822 ms 102688 KB Output is correct
13 Correct 1409 ms 83920 KB Output is correct
14 Correct 1451 ms 85788 KB Output is correct
15 Correct 930 ms 74352 KB Output is correct
16 Correct 1632 ms 101560 KB Output is correct
17 Correct 1443 ms 83148 KB Output is correct

Subtask #4
0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 22136 KB Output is correct
2 Correct 26 ms 22392 KB Output is correct
3 Correct 23 ms 22520 KB Output is correct
4 Correct 27 ms 22776 KB Output is correct
5 Correct 26 ms 22520 KB Output is correct
6 Correct 29 ms 22776 KB Output is correct
7 Correct 27 ms 22648 KB Output is correct
8 Correct 27 ms 22648 KB Output is correct
9 Correct 26 ms 22520 KB Output is correct
10 Correct 26 ms 22648 KB Output is correct
11 Correct 27 ms 22648 KB Output is correct
12 Correct 26 ms 22652 KB Output is correct
13 Correct 29 ms 22908 KB Output is correct
14 Correct 27 ms 22648 KB Output is correct
15 Correct 27 ms 22648 KB Output is correct
16 Correct 26 ms 22620 KB Output is correct
17 Correct 28 ms 22776 KB Output is correct
18 Correct 27 ms 22648 KB Output is correct
19 Correct 26 ms 22520 KB Output is correct
20 Correct 28 ms 22776 KB Output is correct
21 Correct 27 ms 22648 KB Output is correct
22 Correct 26 ms 22520 KB Output is correct
23 Correct 26 ms 22648 KB Output is correct
24 Correct 27 ms 22608 KB Output is correct
25 Correct 26 ms 22520 KB Output is correct
26 Correct 25 ms 22648 KB Output is correct
27 Correct 28 ms 22776 KB Output is correct
28 Correct 27 ms 22776 KB Output is correct
29 Correct 27 ms 22648 KB Output is correct
30 Correct 25 ms 22648 KB Output is correct
31 Correct 28 ms 22776 KB Output is correct
32 Correct 27 ms 22652 KB Output is correct
33 Correct 595 ms 49000 KB Output is correct
34 Correct 1053 ms 72420 KB Output is correct
35 Correct 151 ms 30580 KB Output is correct
36 Correct 1012 ms 69236 KB Output is correct
37 Correct 1688 ms 103052 KB Output is correct
38 Correct 1486 ms 85808 KB Output is correct
39 Correct 1014 ms 69156 KB Output is correct
40 Correct 1136 ms 71064 KB Output is correct
41 Correct 1150 ms 70628 KB Output is correct
42 Correct 1219 ms 70760 KB Output is correct
43 Correct 974 ms 73644 KB Output is correct
44 Correct 1769 ms 95300 KB Output is correct
45 Correct 1535 ms 86476 KB Output is correct
46 Correct 1416 ms 85508 KB Output is correct
47 Correct 990 ms 74348 KB Output is correct
48 Correct 1645 ms 98828 KB Output is correct
49 Correct 1397 ms 85080 KB Output is correct
50 Correct 813 ms 60636 KB Output is correct
51 Correct 1787 ms 104472 KB Output is correct
52 Correct 177 ms 31876 KB Output is correct
53 Correct 1082 ms 69772 KB Output is correct
54 Correct 1880 ms 104156 KB Output is correct
55 Correct 1407 ms 82956 KB Output is correct
56 Correct 1024 ms 69824 KB Output is correct
57 Correct 1166 ms 73808 KB Output is correct
58 Correct 1141 ms 72684 KB Output is correct
59 Correct 1120 ms 71656 KB Output is correct
60 Correct 1010 ms 71264 KB Output is correct
61 Correct 1822 ms 102688 KB Output is correct
62 Correct 1409 ms 83920 KB Output is correct
63 Correct 1451 ms 85788 KB Output is correct
64 Correct 930 ms 74352 KB Output is correct
65 Correct 1632 ms 101560 KB Output is correct
66 Correct 1443 ms 83148 KB Output is correct
67 Correct 122 ms 28516 KB Output is correct
68 Correct 890 ms 65796 KB Output is correct
69 Correct 829 ms 58892 KB Output is correct
70 Correct 1076 ms 69072 KB Output is correct
71 Execution timed out 2020 ms 107496 KB Time limit exceeded
72 Halted 0 ms 0 KB -