oj.uz

Submission #478134

# Submission time Handle Problem Language Result Execution time Memory
478134 2021-10-05T19:33:02 Z bonopo Dynamic Diameter (CEOI19_diameter) C++17
49 / 100
 5000 ms 244064 KB 
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
using namespace std;
using namespace __gnu_pbds;
#pragma GCC optimize("Ofast")
#pragma GCC target("avx,avx2,fma")
#pragma GCC target ("avx2")
#define pb push_back
#define rc (i<<1)|1
#define lc (i<<1)
#define el "\n"
#define f first
#define s second

typedef long long ll;
const int MM=1e5+5, MOD=1e9+7, LOG=19;
int N, Q, sz[MM], bk[MM], pa[MM], in[LOG][MM], ot[LOG][MM], cp[LOG][MM], tp[LOG][MM], ct;
vector<int> adj[MM]; ll av[MM], W;
gp_hash_table<int,int> mp[MM];
multiset<ll> ast;

struct node {
    ll lz;
    pair<ll,int> mx;
};

struct tree {
    vector<node> seg;
    int wt;

    inline void prop(int i, int l, int r) {
        if(l!=r) {
            seg[lc].lz+=seg[i].lz;
            seg[rc].lz+=seg[i].lz; }
        seg[i].mx.f+=seg[i].lz;
        seg[i].lz=0;
    }

    void build(int i, int sl, int sr) {
        if(sl==sr) {
            seg[i].mx=make_pair(0,sl);
            return; }
        int m=sl+sr>>1;
        build(rc, m+1, sr);
        build(lc, sl, m);
        calc(i);
    }

    inline void calc(int i) {
        seg[i].mx=max(seg[lc].mx, seg[rc].mx);
    }

    void upd(int i, int sl, int sr, int l, int r, ll v) {
        prop(i, sl, sr);
        if(l>sr || r<sl) return;
        if(l<=sl&&sr<=r) {
            seg[i].lz+=v;
            prop(i, sl, sr); return; }
        int m=sl+sr>>1;
        upd(rc, m+1, sr, l, r, v);
        upd(lc, sl, m, l, r, v);
        calc(i);
    }

    pair<ll,int> rmq(int i, int sl, int sr, int l, int r) {
        prop(i, sl, sr);
        if(l>sr || r<sl) return {0,0};
        if(l<=sl&&sr<=r) return seg[i].mx;
        int m=sl+sr>>1;
        return max(rmq(lc, sl, m, l, r), rmq(rc, m+1, sr, l, r));
    }

    void init(int n) {
        wt=n;
        seg.resize(4*n+4);
        build(1, 1, n);
    }
} st[MM];

int crt(int u, int th, int fa) {
    for(int &v:adj[u]) if(v!=fa&&!bk[v]&&sz[v]>th) {
        return crt(v, th, u); }
    return u;
}

void dfs(int u, int fa) {
    sz[u]=1;
    for(int &v:adj[u]) if(v!=fa&&!bk[v]) {
        dfs(v, u);
        sz[u]+=sz[v];
    }
}

void etr(int u, int fa, int lvl, int rt, int tv) {
    in[lvl][u]=++ct; cp[lvl][u]=rt; tp[lvl][u]=tv; mp[rt][ct]=u;
    for(int &v:adj[u]) if(v!=fa&&!bk[v]) {
        etr(v, u, lvl, rt, tv); }
    ot[lvl][u]=ct;
}

void rec(int rt, int nds, int fa=-1, int lvl=0) {
    if(nds<=1) return;
    dfs(rt, 0);

    //  cout<<"centroid for "<<rt<<" nds "<<nds<<" lvl "<<lvl<<" is ";
    rt=crt(rt, nds/2, 0); pa[rt]=fa;
    //  cout<<rt<<el;

    bk[rt]=true; ct=0;

    // get ett
    cp[lvl][rt]=tp[lvl][rt]=rt;
    for(int &v:adj[rt]) if(!bk[v]) etr(v, rt, lvl, rt, v);
    if(ct==0) return;

    // construct tree
    st[rt].init(nds);
    int tally=0, lv=-1;
    for(int &v:adj[rt]) if(!bk[v]) {
        if(sz[v]<sz[rt]) {
            tally+=sz[v];
            rec(v, sz[v], rt, lvl+1);
        } else lv=v;
    }


    if(~lv) rec(lv, nds-tally-1, rt, lvl+1);
}

void qry(int u, int v, ll val) {

    // find smallest component
    int cur=0;
    while(cur<LOG-1&&cp[cur+1][u]==cp[cur+1][v]&&cp[cur+1][u]!=0) ++cur;
    //  cout<<"iterating on "<<u<<" starting with "<<cur<<" delta "<<val<<el;

    // jump
    int crt=cp[cur][u];
    while(cur>=0) {
        // update edge
        //   cout<<"crt "<<crt<<el;


        int w=(in[cur][u]>in[cur][v]?u:v);

        // cout<<"level "<<cur<<" w "<<w<<" cent "<<crt<<" updating "<<in[cur][w]<<" "<<ot[cur][w]<<el;
        st[crt].upd(1, 1, st[crt].wt, in[cur][w], ot[cur][w], val);

        // query max
        auto x=st[crt].rmq(1, 1, st[crt].wt, 1, st[crt].wt);
        x.s=mp[crt][x.s];
        // cout<<"x value "<<x.f<<" "<<x.s<<" "<<tp[cur][x.s]<<" "<<in[cur][tp[cur][x.s]]<<" "<<ot[cur][tp[cur][x.s]]<<el;
        auto y=max(st[crt].rmq(1, 1, st[crt].wt, 1, in[cur][tp[cur][x.s]]-1), st[crt].rmq(1, 1, st[crt].wt, ot[cur][tp[cur][x.s]]+1, st[crt].wt));
        //cout<<"y value "<<y.f<<" "<<x.s<<el;

        ll cnd=x.f+y.f;
        if(cnd!=av[crt]) {
            ast.erase(ast.find(av[crt]));
            ast.insert(av[crt]=cnd);
        }

        crt=pa[crt]; cur--;
    }

}

int32_t main() {
    cin.tie(nullptr)->sync_with_stdio(false);
    cin>>N>>Q>>W;
    vector<pair<ll,pair<int,int>>> edg;
    for(int i=1; i<N; ++i) {
        ll u, v, w; cin>>u>>v>>w;
        adj[u].pb(v); adj[v].pb(u);
        edg.pb({w,{u,v}});
    }

    // preprocess
    rec(1, N);
    for(int i=1; i<=N; ++i) ast.insert(0);
    for(auto &e:edg) qry(e.s.f, e.s.s, e.f);

    ll last=0, e, w;
    for(int q=1; q<=Q; ++q) {
        cin>>e>>w;
        e=(e+last)%(N-1);
        w=(w+last)%W;

        qry(edg[e].s.f, edg[e].s.s, w-edg[e].f);
        last=*ast.rbegin(); edg[e].f=w;
        cout<<last<<el;
    }
}

Compilation message

diameter.cpp: In member function 'void tree::build(int, int, int)':
diameter.cpp:43:17: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   43 |         int m=sl+sr>>1;
      |               ~~^~~
diameter.cpp: In member function 'void tree::upd(int, int, int, int, int, ll)':
diameter.cpp:59:17: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   59 |         int m=sl+sr>>1;
      |               ~~^~~
diameter.cpp: In member function 'std::pair<long long int, int> tree::rmq(int, int, int, int, int)':
diameter.cpp:69:17: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   69 |         int m=sl+sr>>1;
      |               ~~^~~

Subtask #1
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 26956 KB Output is correct
2 Correct 20 ms 27028 KB Output is correct
3 Correct 20 ms 26956 KB Output is correct
4 Correct 21 ms 27032 KB Output is correct
5 Correct 20 ms 26956 KB Output is correct
6 Correct 22 ms 26956 KB Output is correct
7 Correct 22 ms 27028 KB Output is correct
8 Correct 22 ms 27048 KB Output is correct
9 Correct 23 ms 27084 KB Output is correct
10 Correct 21 ms 27016 KB Output is correct
11 Correct 22 ms 27004 KB Output is correct
12 Correct 21 ms 27056 KB Output is correct
13 Correct 23 ms 27084 KB Output is correct
14 Correct 24 ms 27072 KB Output is correct
15 Correct 22 ms 27128 KB Output is correct
16 Correct 25 ms 27084 KB Output is correct
17 Correct 25 ms 27168 KB Output is correct
18 Correct 23 ms 27112 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 26956 KB Output is correct
2 Correct 20 ms 27028 KB Output is correct
3 Correct 20 ms 26956 KB Output is correct
4 Correct 21 ms 27032 KB Output is correct
5 Correct 20 ms 26956 KB Output is correct
6 Correct 22 ms 26956 KB Output is correct
7 Correct 22 ms 27028 KB Output is correct
8 Correct 22 ms 27048 KB Output is correct
9 Correct 23 ms 27084 KB Output is correct
10 Correct 21 ms 27016 KB Output is correct
11 Correct 22 ms 27004 KB Output is correct
12 Correct 21 ms 27056 KB Output is correct
13 Correct 23 ms 27084 KB Output is correct
14 Correct 24 ms 27072 KB Output is correct
15 Correct 22 ms 27128 KB Output is correct
16 Correct 25 ms 27084 KB Output is correct
17 Correct 25 ms 27168 KB Output is correct
18 Correct 23 ms 27112 KB Output is correct
19 Correct 39 ms 28032 KB Output is correct
20 Correct 43 ms 28152 KB Output is correct
21 Correct 49 ms 28284 KB Output is correct
22 Correct 52 ms 28392 KB Output is correct
23 Correct 69 ms 32468 KB Output is correct
24 Correct 90 ms 34028 KB Output is correct
25 Correct 94 ms 34964 KB Output is correct
26 Correct 111 ms 36276 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 26984 KB Output is correct
2 Correct 21 ms 26988 KB Output is correct
3 Correct 22 ms 26920 KB Output is correct
4 Correct 30 ms 26956 KB Output is correct
5 Correct 63 ms 27320 KB Output is correct
6 Correct 20 ms 26940 KB Output is correct
7 Correct 26 ms 27108 KB Output is correct
8 Correct 24 ms 27084 KB Output is correct
9 Correct 28 ms 27100 KB Output is correct
10 Correct 49 ms 27084 KB Output is correct
11 Correct 118 ms 27520 KB Output is correct
12 Correct 27 ms 28220 KB Output is correct
13 Correct 28 ms 28176 KB Output is correct
14 Correct 28 ms 28220 KB Output is correct
15 Correct 54 ms 28256 KB Output is correct
16 Correct 124 ms 28724 KB Output is correct
17 Correct 145 ms 51224 KB Output is correct
18 Correct 150 ms 51116 KB Output is correct
19 Correct 153 ms 51164 KB Output is correct
20 Correct 190 ms 51372 KB Output is correct
21 Correct 277 ms 51856 KB Output is correct

Subtask #4
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 33 ms 28236 KB Output is correct
2 Correct 54 ms 28236 KB Output is correct
3 Correct 171 ms 28500 KB Output is correct
4 Correct 293 ms 28760 KB Output is correct
5 Correct 103 ms 43092 KB Output is correct
6 Correct 144 ms 43200 KB Output is correct
7 Correct 357 ms 43456 KB Output is correct
8 Correct 645 ms 43712 KB Output is correct
9 Correct 472 ms 122640 KB Output is correct
10 Correct 561 ms 122632 KB Output is correct
11 Correct 947 ms 122960 KB Output is correct
12 Correct 1370 ms 123408 KB Output is correct
13 Correct 1016 ms 231180 KB Output is correct
14 Correct 1113 ms 231204 KB Output is correct
15 Correct 1615 ms 231476 KB Output is correct
16 Correct 2287 ms 231784 KB Output is correct
17 Correct 3082 ms 231872 KB Output is correct

Subtask #5
0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 3754 ms 194684 KB Output is correct
2 Correct 3807 ms 200236 KB Output is correct
3 Correct 3751 ms 197612 KB Output is correct
4 Correct 3853 ms 201192 KB Output is correct
5 Correct 3706 ms 190340 KB Output is correct
6 Correct 2618 ms 140564 KB Output is correct
7 Execution timed out 5072 ms 244064 KB Time limit exceeded
8 Halted 0 ms 0 KB -

Subtask #6
0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 26956 KB Output is correct
2 Correct 20 ms 27028 KB Output is correct
3 Correct 20 ms 26956 KB Output is correct
4 Correct 21 ms 27032 KB Output is correct
5 Correct 20 ms 26956 KB Output is correct
6 Correct 22 ms 26956 KB Output is correct
7 Correct 22 ms 27028 KB Output is correct
8 Correct 22 ms 27048 KB Output is correct
9 Correct 23 ms 27084 KB Output is correct
10 Correct 21 ms 27016 KB Output is correct
11 Correct 22 ms 27004 KB Output is correct
12 Correct 21 ms 27056 KB Output is correct
13 Correct 23 ms 27084 KB Output is correct
14 Correct 24 ms 27072 KB Output is correct
15 Correct 22 ms 27128 KB Output is correct
16 Correct 25 ms 27084 KB Output is correct
17 Correct 25 ms 27168 KB Output is correct
18 Correct 23 ms 27112 KB Output is correct
19 Correct 39 ms 28032 KB Output is correct
20 Correct 43 ms 28152 KB Output is correct
21 Correct 49 ms 28284 KB Output is correct
22 Correct 52 ms 28392 KB Output is correct
23 Correct 69 ms 32468 KB Output is correct
24 Correct 90 ms 34028 KB Output is correct
25 Correct 94 ms 34964 KB Output is correct
26 Correct 111 ms 36276 KB Output is correct
27 Correct 21 ms 26984 KB Output is correct
28 Correct 21 ms 26988 KB Output is correct
29 Correct 22 ms 26920 KB Output is correct
30 Correct 30 ms 26956 KB Output is correct
31 Correct 63 ms 27320 KB Output is correct
32 Correct 20 ms 26940 KB Output is correct
33 Correct 26 ms 27108 KB Output is correct
34 Correct 24 ms 27084 KB Output is correct
35 Correct 28 ms 27100 KB Output is correct
36 Correct 49 ms 27084 KB Output is correct
37 Correct 118 ms 27520 KB Output is correct
38 Correct 27 ms 28220 KB Output is correct
39 Correct 28 ms 28176 KB Output is correct
40 Correct 28 ms 28220 KB Output is correct
41 Correct 54 ms 28256 KB Output is correct
42 Correct 124 ms 28724 KB Output is correct
43 Correct 145 ms 51224 KB Output is correct
44 Correct 150 ms 51116 KB Output is correct
45 Correct 153 ms 51164 KB Output is correct
46 Correct 190 ms 51372 KB Output is correct
47 Correct 277 ms 51856 KB Output is correct
48 Correct 33 ms 28236 KB Output is correct
49 Correct 54 ms 28236 KB Output is correct
50 Correct 171 ms 28500 KB Output is correct
51 Correct 293 ms 28760 KB Output is correct
52 Correct 103 ms 43092 KB Output is correct
53 Correct 144 ms 43200 KB Output is correct
54 Correct 357 ms 43456 KB Output is correct
55 Correct 645 ms 43712 KB Output is correct
56 Correct 472 ms 122640 KB Output is correct
57 Correct 561 ms 122632 KB Output is correct
58 Correct 947 ms 122960 KB Output is correct
59 Correct 1370 ms 123408 KB Output is correct
60 Correct 1016 ms 231180 KB Output is correct
61 Correct 1113 ms 231204 KB Output is correct
62 Correct 1615 ms 231476 KB Output is correct
63 Correct 2287 ms 231784 KB Output is correct
64 Correct 3082 ms 231872 KB Output is correct
65 Correct 3754 ms 194684 KB Output is correct
66 Correct 3807 ms 200236 KB Output is correct
67 Correct 3751 ms 197612 KB Output is correct
68 Correct 3853 ms 201192 KB Output is correct
69 Correct 3706 ms 190340 KB Output is correct
70 Correct 2618 ms 140564 KB Output is correct
71 Execution timed out 5072 ms 244064 KB Time limit exceeded
72 Halted 0 ms 0 KB -