oj.uz

Submission #124305

# Submission time Handle Problem Language Result Execution time Memory
124305 2019-07-03T01:19:42 Z duality Unique Cities (JOI19_ho_t5) C++11
100 / 100
 1849 ms 113884 KB 
#define DEBUG 1

#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[400000];
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 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(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:200:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (i = 0; i < queries[u].size(); i++) {
                 ~~^~~~~~~~~~~~~~~~~~~
joi2019_ho_t5.cpp:213:19: 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:240:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for (j = 0; j < tree2[i].size(); j++) {
                     ~~^~~~~~~~~~~~~~~~~
joi2019_ho_t5.cpp:245:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for (j = 0; j < tree2[i].size(); j++) {
                     ~~^~~~~~~~~~~~~~~~~
joi2019_ho_t5.cpp:253:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (j = 0; j < tree2[i].size(); j++) {
                 ~~^~~~~~~~~~~~~~~~~
joi2019_ho_t5.cpp:258:19: 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:291:19: 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:295:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (i = 0; i < cand.size(); i++) {
                 ~~^~~~~~~~~~~~~
joi2019_ho_t5.cpp:267:10: 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:269:14: 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:274:46: 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 24 ms 22520 KB Output is correct
3 Correct 28 ms 22392 KB Output is correct
4 Correct 25 ms 22520 KB Output is correct
5 Correct 25 ms 22520 KB Output is correct
6 Correct 32 ms 22780 KB Output is correct
7 Correct 31 ms 22648 KB Output is correct
8 Correct 25 ms 22520 KB Output is correct
9 Correct 30 ms 22520 KB Output is correct
10 Correct 26 ms 22648 KB Output is correct
11 Correct 29 ms 22560 KB Output is correct
12 Correct 29 ms 22648 KB Output is correct
13 Correct 32 ms 22776 KB Output is correct
14 Correct 26 ms 22648 KB Output is correct
15 Correct 26 ms 22648 KB Output is correct
16 Correct 25 ms 22648 KB Output is correct
17 Correct 27 ms 22748 KB Output is correct
18 Correct 25 ms 22648 KB Output is correct
19 Correct 25 ms 22520 KB Output is correct
20 Correct 27 ms 22780 KB Output is correct
21 Correct 26 ms 22648 KB Output is correct
22 Correct 25 ms 22520 KB Output is correct
23 Correct 25 ms 22520 KB Output is correct
24 Correct 24 ms 22520 KB Output is correct
25 Correct 25 ms 22520 KB Output is correct
26 Correct 25 ms 22520 KB Output is correct
27 Correct 27 ms 22776 KB Output is correct
28 Correct 26 ms 22776 KB Output is correct
29 Correct 26 ms 22648 KB Output is correct
30 Correct 24 ms 22648 KB Output is correct
31 Correct 26 ms 22776 KB Output is correct
32 Correct 25 ms 22648 KB Output is correct

Subtask #2
32.0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 429 ms 48184 KB Output is correct
2 Correct 977 ms 68704 KB Output is correct
3 Correct 117 ms 30064 KB Output is correct
4 Correct 802 ms 67248 KB Output is correct
5 Correct 1548 ms 97932 KB Output is correct
6 Correct 1224 ms 81256 KB Output is correct
7 Correct 805 ms 67360 KB Output is correct
8 Correct 875 ms 69064 KB Output is correct
9 Correct 862 ms 68472 KB Output is correct
10 Correct 851 ms 68740 KB Output is correct
11 Correct 768 ms 71856 KB Output is correct
12 Correct 1442 ms 89824 KB Output is correct
13 Correct 1276 ms 83208 KB Output is correct
14 Correct 1154 ms 81632 KB Output is correct
15 Correct 701 ms 71828 KB Output is correct
16 Correct 1361 ms 95200 KB Output is correct
17 Correct 1080 ms 81376 KB Output is correct

Subtask #3
32.0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 603 ms 58516 KB Output is correct
2 Correct 1574 ms 99292 KB Output is correct
3 Correct 131 ms 31348 KB Output is correct
4 Correct 807 ms 68084 KB Output is correct
5 Correct 1565 ms 98836 KB Output is correct
6 Correct 1109 ms 79836 KB Output is correct
7 Correct 809 ms 68040 KB Output is correct
8 Correct 955 ms 71456 KB Output is correct
9 Correct 870 ms 70424 KB Output is correct
10 Correct 843 ms 69600 KB Output is correct
11 Correct 748 ms 69344 KB Output is correct
12 Correct 1468 ms 98240 KB Output is correct
13 Correct 1086 ms 81024 KB Output is correct
14 Correct 1111 ms 81976 KB Output is correct
15 Correct 698 ms 71876 KB Output is correct
16 Correct 1464 ms 97852 KB Output is correct
17 Correct 1067 ms 80020 KB Output is correct

Subtask #4
32.0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 22136 KB Output is correct
2 Correct 24 ms 22520 KB Output is correct
3 Correct 28 ms 22392 KB Output is correct
4 Correct 25 ms 22520 KB Output is correct
5 Correct 25 ms 22520 KB Output is correct
6 Correct 32 ms 22780 KB Output is correct
7 Correct 31 ms 22648 KB Output is correct
8 Correct 25 ms 22520 KB Output is correct
9 Correct 30 ms 22520 KB Output is correct
10 Correct 26 ms 22648 KB Output is correct
11 Correct 29 ms 22560 KB Output is correct
12 Correct 29 ms 22648 KB Output is correct
13 Correct 32 ms 22776 KB Output is correct
14 Correct 26 ms 22648 KB Output is correct
15 Correct 26 ms 22648 KB Output is correct
16 Correct 25 ms 22648 KB Output is correct
17 Correct 27 ms 22748 KB Output is correct
18 Correct 25 ms 22648 KB Output is correct
19 Correct 25 ms 22520 KB Output is correct
20 Correct 27 ms 22780 KB Output is correct
21 Correct 26 ms 22648 KB Output is correct
22 Correct 25 ms 22520 KB Output is correct
23 Correct 25 ms 22520 KB Output is correct
24 Correct 24 ms 22520 KB Output is correct
25 Correct 25 ms 22520 KB Output is correct
26 Correct 25 ms 22520 KB Output is correct
27 Correct 27 ms 22776 KB Output is correct
28 Correct 26 ms 22776 KB Output is correct
29 Correct 26 ms 22648 KB Output is correct
30 Correct 24 ms 22648 KB Output is correct
31 Correct 26 ms 22776 KB Output is correct
32 Correct 25 ms 22648 KB Output is correct
33 Correct 429 ms 48184 KB Output is correct
34 Correct 977 ms 68704 KB Output is correct
35 Correct 117 ms 30064 KB Output is correct
36 Correct 802 ms 67248 KB Output is correct
37 Correct 1548 ms 97932 KB Output is correct
38 Correct 1224 ms 81256 KB Output is correct
39 Correct 805 ms 67360 KB Output is correct
40 Correct 875 ms 69064 KB Output is correct
41 Correct 862 ms 68472 KB Output is correct
42 Correct 851 ms 68740 KB Output is correct
43 Correct 768 ms 71856 KB Output is correct
44 Correct 1442 ms 89824 KB Output is correct
45 Correct 1276 ms 83208 KB Output is correct
46 Correct 1154 ms 81632 KB Output is correct
47 Correct 701 ms 71828 KB Output is correct
48 Correct 1361 ms 95200 KB Output is correct
49 Correct 1080 ms 81376 KB Output is correct
50 Correct 603 ms 58516 KB Output is correct
51 Correct 1574 ms 99292 KB Output is correct
52 Correct 131 ms 31348 KB Output is correct
53 Correct 807 ms 68084 KB Output is correct
54 Correct 1565 ms 98836 KB Output is correct
55 Correct 1109 ms 79836 KB Output is correct
56 Correct 809 ms 68040 KB Output is correct
57 Correct 955 ms 71456 KB Output is correct
58 Correct 870 ms 70424 KB Output is correct
59 Correct 843 ms 69600 KB Output is correct
60 Correct 748 ms 69344 KB Output is correct
61 Correct 1468 ms 98240 KB Output is correct
62 Correct 1086 ms 81024 KB Output is correct
63 Correct 1111 ms 81976 KB Output is correct
64 Correct 698 ms 71876 KB Output is correct
65 Correct 1464 ms 97852 KB Output is correct
66 Correct 1067 ms 80020 KB Output is correct
67 Correct 95 ms 28272 KB Output is correct
68 Correct 802 ms 62156 KB Output is correct
69 Correct 608 ms 57324 KB Output is correct
70 Correct 836 ms 67324 KB Output is correct
71 Correct 1798 ms 101848 KB Output is correct
72 Correct 1144 ms 80708 KB Output is correct
73 Correct 730 ms 67440 KB Output is correct
74 Correct 894 ms 71388 KB Output is correct
75 Correct 856 ms 68832 KB Output is correct
76 Correct 838 ms 68256 KB Output is correct
77 Correct 820 ms 69088 KB Output is correct
78 Correct 1448 ms 90776 KB Output is correct
79 Correct 1464 ms 92980 KB Output is correct
80 Correct 1083 ms 80740 KB Output is correct
81 Correct 674 ms 71832 KB Output is correct
82 Correct 1520 ms 99828 KB Output is correct
83 Correct 1054 ms 80468 KB Output is correct
84 Correct 784 ms 67344 KB Output is correct
85 Correct 1748 ms 99244 KB Output is correct
86 Correct 1217 ms 78076 KB Output is correct
87 Correct 822 ms 67360 KB Output is correct
88 Correct 989 ms 71872 KB Output is correct
89 Correct 935 ms 69188 KB Output is correct
90 Correct 834 ms 68832 KB Output is correct
91 Correct 744 ms 69008 KB Output is correct
92 Correct 1824 ms 107676 KB Output is correct
93 Correct 1106 ms 80796 KB Output is correct
94 Correct 949 ms 75488 KB Output is correct
95 Correct 769 ms 75104 KB Output is correct
96 Correct 1294 ms 99232 KB Output is correct
97 Correct 1091 ms 84396 KB Output is correct
98 Correct 859 ms 71772 KB Output is correct
99 Correct 1849 ms 113884 KB Output is correct
100 Correct 1159 ms 85984 KB Output is correct
101 Correct 856 ms 71260 KB Output is correct
102 Correct 934 ms 73952 KB Output is correct
103 Correct 875 ms 73180 KB Output is correct
104 Correct 937 ms 72248 KB Output is correct
105 Correct 760 ms 72976 KB Output is correct
106 Correct 1314 ms 89700 KB Output is correct
107 Correct 1388 ms 94672 KB Output is correct
108 Correct 1012 ms 79388 KB Output is correct
109 Correct 684 ms 75836 KB Output is correct
110 Correct 1270 ms 100796 KB Output is correct
111 Correct 1100 ms 84832 KB Output is correct