oj.uz

Submission #124307

# Submission time Handle Problem Language Result Execution time Memory
124307 2019-07-03T01:25:57 Z duality Unique Cities (JOI19_ho_t5) C++11
68 / 100
 2000 ms 107572 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,queries[200000];
int mm[400000];
int tree[400000],lazy[200000];
int apply(int p,int num) {
    tree[p] += num;
    if (p < N) lazy[p] += num;
    return 0;
}
int build(int p) {
    while (p > 1) p >>= 1,tree[p] = max(tree[p << 1],tree[(p << 1) | 1])+lazy[p];
    return 0;
}
int push(int p) {
    int i;
    for (i = logn; i > 0; i--) {
        int j = p >> i;
        if (lazy[j] != 0) {
            apply(j << 1,lazy[j]);
            apply((j << 1) | 1,lazy[j]);
            lazy[j] = 0;
        }
    }
    return 0;
}
int update(int as,int ae,int num) {
    as += N,ae += N+1;
    int oas = as,oae = ae;
    while (as < ae) {
        if (as & 1) apply(as++,num);
        if (ae & 1) apply(--ae,num);
        as >>= 1,ae >>= 1;
    }
    build(oas),build(oae-1);
    return 0;
}
int query(int qs,int qe) {
    qs += N,qe += N+1;
    push(qs),push(qe-1);
    int ans = 0;
    while (qs < qe) {
        if (qs & 1) ans = max(ans,tree[qs++]);
        if (qe & 1) ans = max(ans,tree[--qe]);
        qs >>= 1,qe >>= 1;
    }
    return ans;
}
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(disc[v],disc[v]);
        if ((disc[u] >= disc[v]) && (disc[u] < fin[v])) {
            v = moveToward(v,u);
            mm[queries[u][i].second] += query(disc[v],fin[v]-1);
        }
        else {
            int m = query(fin[v],N-1);
            if (m >= -mm[queries[u][i].second]) mm[queries[u][i].second] = 0;
            else mm[queries[u][i].second] += max(m,query(0,disc[v]-1));
        }
    }
    for (i = 0; i < adjList[u].size(); i++) {
        int v = adjList[u][i];
        if (v != p) {
            update(0,N-1,1),update(disc[v],fin[v]-1,-2);
            doDFS3(v,u);
            update(0,N-1,-1),update(disc[v],fin[v]-1,2);
        }
    }
    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));
    for (i = 0; i < N; i++) tree[i+N] = depth[inv[i]];
    for (i = N-1; i > 0; i--) tree[i] = max(tree[i << 1],tree[(i << 1) | 1]);
    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: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:161:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (i = 0; i < queries[u].size(); i++) {
                 ~~^~~~~~~~~~~~~~~~~~~
joi2019_ho_t5.cpp:174:19: 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:201:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for (j = 0; j < tree2[i].size(); j++) {
                     ~~^~~~~~~~~~~~~~~~~
joi2019_ho_t5.cpp:206:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for (j = 0; j < tree2[i].size(); j++) {
                     ~~^~~~~~~~~~~~~~~~~
joi2019_ho_t5.cpp:214:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (j = 0; j < tree2[i].size(); j++) {
                 ~~^~~~~~~~~~~~~~~~~
joi2019_ho_t5.cpp:219:19: 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:252:19: 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:256:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (i = 0; i < cand.size(); i++) {
                 ~~^~~~~~~~~~~~~
joi2019_ho_t5.cpp:228:10: 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:230:14: 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:235:46: 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 21 ms 22136 KB Output is correct
2 Correct 25 ms 22524 KB Output is correct
3 Correct 24 ms 22396 KB Output is correct
4 Correct 25 ms 22524 KB Output is correct
5 Correct 26 ms 22648 KB Output is correct
6 Correct 27 ms 22776 KB Output is correct
7 Correct 26 ms 22648 KB Output is correct
8 Correct 25 ms 22648 KB Output is correct
9 Correct 25 ms 22520 KB Output is correct
10 Correct 25 ms 22656 KB Output is correct
11 Correct 25 ms 22648 KB Output is correct
12 Correct 25 ms 22648 KB Output is correct
13 Correct 28 ms 22776 KB Output is correct
14 Correct 26 ms 22648 KB Output is correct
15 Correct 25 ms 22648 KB Output is correct
16 Correct 26 ms 22652 KB Output is correct
17 Correct 27 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 26 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 25 ms 22628 KB Output is correct
25 Correct 25 ms 22520 KB Output is correct
26 Correct 25 ms 22648 KB Output is correct
27 Correct 27 ms 22776 KB Output is correct
28 Correct 26 ms 22776 KB Output is correct
29 Correct 25 ms 22648 KB Output is correct
30 Correct 25 ms 22648 KB Output is correct
31 Correct 27 ms 22776 KB Output is correct
32 Correct 26 ms 22648 KB Output is correct

Subtask #2
32.0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 461 ms 48428 KB Output is correct
2 Correct 960 ms 68984 KB Output is correct
3 Correct 117 ms 30196 KB Output is correct
4 Correct 918 ms 67420 KB Output is correct
5 Correct 1567 ms 98168 KB Output is correct
6 Correct 1258 ms 81596 KB Output is correct
7 Correct 797 ms 67528 KB Output is correct
8 Correct 938 ms 69396 KB Output is correct
9 Correct 943 ms 69200 KB Output is correct
10 Correct 936 ms 69280 KB Output is correct
11 Correct 808 ms 72368 KB Output is correct
12 Correct 1603 ms 90196 KB Output is correct
13 Correct 1311 ms 83608 KB Output is correct
14 Correct 1220 ms 82172 KB Output is correct
15 Correct 699 ms 72280 KB Output is correct
16 Correct 1276 ms 95472 KB Output is correct
17 Correct 1150 ms 81892 KB Output is correct

Subtask #3
32.0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 651 ms 58920 KB Output is correct
2 Correct 1606 ms 99412 KB Output is correct
3 Correct 136 ms 31328 KB Output is correct
4 Correct 858 ms 67988 KB Output is correct
5 Correct 1660 ms 98876 KB Output is correct
6 Correct 1149 ms 79524 KB Output is correct
7 Correct 813 ms 68064 KB Output is correct
8 Correct 949 ms 71324 KB Output is correct
9 Correct 946 ms 70368 KB Output is correct
10 Correct 901 ms 69448 KB Output is correct
11 Correct 786 ms 69300 KB Output is correct
12 Correct 1624 ms 98320 KB Output is correct
13 Correct 1175 ms 80988 KB Output is correct
14 Correct 1212 ms 81964 KB Output is correct
15 Correct 704 ms 71856 KB Output is correct
16 Correct 1345 ms 97704 KB Output is correct
17 Correct 1131 ms 79808 KB Output is correct

Subtask #4
0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 22136 KB Output is correct
2 Correct 25 ms 22524 KB Output is correct
3 Correct 24 ms 22396 KB Output is correct
4 Correct 25 ms 22524 KB Output is correct
5 Correct 26 ms 22648 KB Output is correct
6 Correct 27 ms 22776 KB Output is correct
7 Correct 26 ms 22648 KB Output is correct
8 Correct 25 ms 22648 KB Output is correct
9 Correct 25 ms 22520 KB Output is correct
10 Correct 25 ms 22656 KB Output is correct
11 Correct 25 ms 22648 KB Output is correct
12 Correct 25 ms 22648 KB Output is correct
13 Correct 28 ms 22776 KB Output is correct
14 Correct 26 ms 22648 KB Output is correct
15 Correct 25 ms 22648 KB Output is correct
16 Correct 26 ms 22652 KB Output is correct
17 Correct 27 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 26 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 25 ms 22628 KB Output is correct
25 Correct 25 ms 22520 KB Output is correct
26 Correct 25 ms 22648 KB Output is correct
27 Correct 27 ms 22776 KB Output is correct
28 Correct 26 ms 22776 KB Output is correct
29 Correct 25 ms 22648 KB Output is correct
30 Correct 25 ms 22648 KB Output is correct
31 Correct 27 ms 22776 KB Output is correct
32 Correct 26 ms 22648 KB Output is correct
33 Correct 461 ms 48428 KB Output is correct
34 Correct 960 ms 68984 KB Output is correct
35 Correct 117 ms 30196 KB Output is correct
36 Correct 918 ms 67420 KB Output is correct
37 Correct 1567 ms 98168 KB Output is correct
38 Correct 1258 ms 81596 KB Output is correct
39 Correct 797 ms 67528 KB Output is correct
40 Correct 938 ms 69396 KB Output is correct
41 Correct 943 ms 69200 KB Output is correct
42 Correct 936 ms 69280 KB Output is correct
43 Correct 808 ms 72368 KB Output is correct
44 Correct 1603 ms 90196 KB Output is correct
45 Correct 1311 ms 83608 KB Output is correct
46 Correct 1220 ms 82172 KB Output is correct
47 Correct 699 ms 72280 KB Output is correct
48 Correct 1276 ms 95472 KB Output is correct
49 Correct 1150 ms 81892 KB Output is correct
50 Correct 651 ms 58920 KB Output is correct
51 Correct 1606 ms 99412 KB Output is correct
52 Correct 136 ms 31328 KB Output is correct
53 Correct 858 ms 67988 KB Output is correct
54 Correct 1660 ms 98876 KB Output is correct
55 Correct 1149 ms 79524 KB Output is correct
56 Correct 813 ms 68064 KB Output is correct
57 Correct 949 ms 71324 KB Output is correct
58 Correct 946 ms 70368 KB Output is correct
59 Correct 901 ms 69448 KB Output is correct
60 Correct 786 ms 69300 KB Output is correct
61 Correct 1624 ms 98320 KB Output is correct
62 Correct 1175 ms 80988 KB Output is correct
63 Correct 1212 ms 81964 KB Output is correct
64 Correct 704 ms 71856 KB Output is correct
65 Correct 1345 ms 97704 KB Output is correct
66 Correct 1131 ms 79808 KB Output is correct
67 Correct 94 ms 28320 KB Output is correct
68 Correct 769 ms 62140 KB Output is correct
69 Correct 647 ms 57336 KB Output is correct
70 Correct 838 ms 67220 KB Output is correct
71 Correct 1813 ms 101728 KB Output is correct
72 Correct 1198 ms 80560 KB Output is correct
73 Correct 859 ms 67128 KB Output is correct
74 Correct 1012 ms 71372 KB Output is correct
75 Correct 928 ms 68616 KB Output is correct
76 Correct 901 ms 68224 KB Output is correct
77 Correct 791 ms 68928 KB Output is correct
78 Correct 1527 ms 90512 KB Output is correct
79 Correct 1591 ms 92932 KB Output is correct
80 Correct 1179 ms 80612 KB Output is correct
81 Correct 693 ms 71848 KB Output is correct
82 Correct 1616 ms 99872 KB Output is correct
83 Correct 1162 ms 80304 KB Output is correct
84 Correct 873 ms 67412 KB Output is correct
85 Correct 1828 ms 99072 KB Output is correct
86 Correct 1143 ms 77948 KB Output is correct
87 Correct 820 ms 67196 KB Output is correct
88 Correct 983 ms 71768 KB Output is correct
89 Correct 921 ms 69116 KB Output is correct
90 Correct 893 ms 68628 KB Output is correct
91 Correct 800 ms 68928 KB Output is correct
92 Execution timed out 2023 ms 107572 KB Time limit exceeded
93 Halted 0 ms 0 KB -