oj.uz

Submission #124286

# Submission time Handle Problem Language Result Execution time Memory
124286 2019-07-03T00:27:41 Z duality Unique Cities (JOI19_ho_t5) C++11
4 / 100
 2000 ms 103360 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 ----------

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;
vpii 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;
        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 mm[queries[u][i].second] = max(query(0,N-1,fin[v],N-1,0),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++) {
        int u = cand[i].first,v = cand[i].second;
        if (depth[u] < depth[v]) swap(u,v);
        for (j = logn-1; j >= 0; j--) {
            if ((parent[u][j] != -1) && (depth[parent[u][j]] >= depth[v])) u = parent[u][j];
        }
        if (u != v) {
            for (j = logn-1; j >= 0; j--) {
                if (parent[u][j] != parent[v][j]) u = parent[u][j],v = parent[v][j];
            }
            u = parent[u][0];
        }
        int lca = u;
        u = cand[i].first,v = cand[i].second;
        if (mm[i] < depth[u]+depth[v]-2*depth[lca]) {
            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:67:19: 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:95:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (i = 0; i < adjList[u].size(); i++) {
                 ~~^~~~~~~~~~~~~~~~~~~
joi2019_ho_t5.cpp:102:19: 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:156:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (i = 0; i < queries[u].size(); i++) {
                 ~~^~~~~~~~~~~~~~~~~~~
joi2019_ho_t5.cpp:164:19: 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:191:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for (j = 0; j < tree2[i].size(); j++) {
                     ~~^~~~~~~~~~~~~~~~~
joi2019_ho_t5.cpp:196:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for (j = 0; j < tree2[i].size(); j++) {
                     ~~^~~~~~~~~~~~~~~~~
joi2019_ho_t5.cpp:204:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (j = 0; j < tree2[i].size(); j++) {
                 ~~^~~~~~~~~~~~~~~~~
joi2019_ho_t5.cpp:209:19: 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:242:19: 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:245:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (i = 0; i < cand.size(); i++) {
                 ~~^~~~~~~~~~~~~
joi2019_ho_t5.cpp:218:10: 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:220:14: 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:225:46: 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 25 ms 22520 KB Output is correct
3 Correct 24 ms 22392 KB Output is correct
4 Correct 28 ms 22520 KB Output is correct
5 Correct 26 ms 22580 KB Output is correct
6 Correct 28 ms 22776 KB Output is correct
7 Correct 27 ms 22648 KB Output is correct
8 Correct 26 ms 22520 KB Output is correct
9 Correct 26 ms 22648 KB Output is correct
10 Correct 26 ms 22648 KB Output is correct
11 Correct 27 ms 22520 KB Output is correct
12 Correct 26 ms 22648 KB Output is correct
13 Correct 29 ms 22776 KB Output is correct
14 Correct 27 ms 22648 KB Output is correct
15 Correct 28 ms 22648 KB Output is correct
16 Correct 28 ms 22648 KB Output is correct
17 Correct 28 ms 22776 KB Output is correct
18 Correct 28 ms 22648 KB Output is correct
19 Correct 26 ms 22540 KB Output is correct
20 Correct 28 ms 22776 KB Output is correct
21 Correct 27 ms 22648 KB Output is correct
22 Correct 27 ms 22520 KB Output is correct
23 Correct 26 ms 22648 KB Output is correct
24 Correct 26 ms 22648 KB Output is correct
25 Correct 27 ms 22520 KB Output is correct
26 Correct 26 ms 22648 KB Output is correct
27 Correct 29 ms 22776 KB Output is correct
28 Correct 28 ms 22776 KB Output is correct
29 Correct 27 ms 22648 KB Output is correct
30 Correct 26 ms 22648 KB Output is correct
31 Correct 28 ms 22776 KB Output is correct
32 Correct 28 ms 22648 KB Output is correct

Subtask #2
0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 588 ms 48808 KB Output is correct
2 Correct 1101 ms 71140 KB Output is correct
3 Correct 160 ms 30708 KB Output is correct
4 Correct 1066 ms 72000 KB Output is correct
5 Execution timed out 2050 ms 102668 KB Time limit exceeded
6 Halted 0 ms 0 KB -

Subtask #3
0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 802 ms 60688 KB Output is correct
2 Execution timed out 2075 ms 103360 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #4
0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 22136 KB Output is correct
2 Correct 25 ms 22520 KB Output is correct
3 Correct 24 ms 22392 KB Output is correct
4 Correct 28 ms 22520 KB Output is correct
5 Correct 26 ms 22580 KB Output is correct
6 Correct 28 ms 22776 KB Output is correct
7 Correct 27 ms 22648 KB Output is correct
8 Correct 26 ms 22520 KB Output is correct
9 Correct 26 ms 22648 KB Output is correct
10 Correct 26 ms 22648 KB Output is correct
11 Correct 27 ms 22520 KB Output is correct
12 Correct 26 ms 22648 KB Output is correct
13 Correct 29 ms 22776 KB Output is correct
14 Correct 27 ms 22648 KB Output is correct
15 Correct 28 ms 22648 KB Output is correct
16 Correct 28 ms 22648 KB Output is correct
17 Correct 28 ms 22776 KB Output is correct
18 Correct 28 ms 22648 KB Output is correct
19 Correct 26 ms 22540 KB Output is correct
20 Correct 28 ms 22776 KB Output is correct
21 Correct 27 ms 22648 KB Output is correct
22 Correct 27 ms 22520 KB Output is correct
23 Correct 26 ms 22648 KB Output is correct
24 Correct 26 ms 22648 KB Output is correct
25 Correct 27 ms 22520 KB Output is correct
26 Correct 26 ms 22648 KB Output is correct
27 Correct 29 ms 22776 KB Output is correct
28 Correct 28 ms 22776 KB Output is correct
29 Correct 27 ms 22648 KB Output is correct
30 Correct 26 ms 22648 KB Output is correct
31 Correct 28 ms 22776 KB Output is correct
32 Correct 28 ms 22648 KB Output is correct
33 Correct 588 ms 48808 KB Output is correct
34 Correct 1101 ms 71140 KB Output is correct
35 Correct 160 ms 30708 KB Output is correct
36 Correct 1066 ms 72000 KB Output is correct
37 Execution timed out 2050 ms 102668 KB Time limit exceeded
38 Halted 0 ms 0 KB -