oj.uz

Submission #373100

# Submission time Handle Problem Language Result Execution time Memory
373100 2021-03-03T10:48:03 Z ACmachine Dynamic Diameter (CEOI19_diameter) C++17
31 / 100
 5000 ms 165352 KB 
#include <bits/stdc++.h>
using namespace std;
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;

template<typename T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
template<typename T, typename U> using ordered_map = tree<T, U, less<T>, rb_tree_tag, tree_order_statistics_node_update>;

typedef long long ll;
typedef long double ld;

typedef pair<int,int> pii;
typedef pair<ll,ll> pll;

typedef vector<int> vi;
typedef vector<ll> vll;

#define FOR(i,j,k,in) for(int i=(j); i < (k);i+=in)
#define FORD(i,j,k,in) for(int i=(j); i >=(k);i-=in)
#define REP(i,b) FOR(i,0,b,1)
#define REPD(i,b) FORD(i,b,0,1)
#define pb push_back
#define mp make_pair
#define ff first
#define ss second
#define all(x) begin(x), end(x)
#define MANY_TESTS int tcase; cin >> tcase; while(tcase--)

const double EPS = 1e-9;
const int MOD = 1e9+7;
const ll INFF = 1e18;
const int INF = 1e9;
const ld PI = acos((ld)-1);
const vi dy = {1, 0, -1, 0, -1, 1, 1, -1};
const vi dx = {0, 1, 0, -1, -1, 1, -1, 1};

void DBG(){cout << "]" << endl;}
template<typename T, typename ...U> void DBG(const T& head, const U... args){ cout << head << "; "; DBG(args...); }
#define dbg(...) cout << "Line(" << __LINE__ << ") -> [" << #__VA_ARGS__ << "]: [", DBG(__VA_ARGS__);
#define chk() cout << "Check at line(" << __LINE__ << ") hit." << endl;

template<class T, unsigned int U>
ostream& operator<<(ostream& out, const array<T, U> &v){out << "[";  REP(i, U) out << v[i] << ", ";  out << "]"; return out;}
template <class T, class U>
ostream& operator<<(ostream& out, const pair<T, U> &par) {out << "[" << par.first << ";" << par.second << "]"; return out;}
template <class T>
ostream& operator<<(ostream& out, const set<T> &cont) { out << "{"; for( const auto &x:cont) out << x << ", "; out << "}"; return out; }
template <class T, class U>
ostream& operator<<(ostream& out, const map<T, U> &cont) {out << "{"; for( const auto &x:cont) out << x << ", "; out << "}"; return out; }
template<class T>
ostream& operator<<(ostream& out, const vector<T> &v){ out << "[";  REP(i, v.size()) out << v[i] << ", ";  out << "]"; return out;}

template<class T>
istream& operator>>(istream& in, vector<T> &v){ for(auto &x : v) in >> x; return in; }

struct node{
    ll ans = 0, lazy = 0;
    void apply(int l, int r, ll val){
        ans += val;
        lazy += val;
    }
};
struct segtree{
    node comb(node const &a, node const &b){
        node res;
        res.ans = max(a.ans, b.ans);
        return res;
    }
    void push(int l, int r, int v){
        tree[v<<1].lazy += tree[v].lazy;
        tree[v<<1|1].lazy += tree[v].lazy;
        tree[v<<1].ans += tree[v].lazy;
        tree[v<<1|1].ans += tree[v].lazy;
        tree[v].lazy = 0;
    }
    int sz;
    vector<node> tree;
    segtree(){}
    segtree(int _sz){ // tree is resized to default values set in node
        sz = 1; while(sz < _sz) sz<<=1;
        tree.resize(2*sz);
    }
    void build(vector<node> &init){
        for(int i = 0; i < sz; ++i)
            if(i < init.size())
                tree[i+sz] = init[i];
        for(int i = sz-1; i > 0; --i)
            tree[i] = comb(tree[i<<1], tree[i<<1|1]);
    }
    node query(int l, int r){return query0(l, r, 0, sz, 1);}
    node query0(int l, int r, int beg, int end, int v){
        if(beg >= l && end <= r)
            return tree[v];
        push(beg, end, v);
        int mid = (beg + end) >> 1;
        node res;
        if(beg >= r || mid <= l) res = query0(l, r, mid, end, v<<1|1); //[beg, mid]
        else if(mid >= r || end <= l) res = query0(l, r, beg, mid, v<<1);
        else res = comb(query0(l, r, beg, mid, v<<1), query0(l, r, mid, end, v<<1|1));
        return res;
    }
    template<typename... T>
    void upd(int l, int r, T ...args){upd0(l, r, 0, sz, 1, args...);}
    template<typename... T>
    void upd0(int l, int r, int beg, int end, int v, T ...args){
        if(beg >= r || end <= l)
            return;
        if(beg >= l && end <= r){
            tree[v].apply(beg, end, args...);
            return;
        }
        push(beg, end, v);
        int mid = (beg + end) >> 1;
        upd0(l, r, beg, mid, v<<1, args...);
        upd0(l, r, mid, end, v<<1|1, args...);
        tree[v] = comb(tree[v<<1], tree[v<<1|1]);
    }
};


int main(){
 	ios_base::sync_with_stdio(false);
 	cin.tie(NULL); cout.tie(NULL);
    int n, q; ll w;
    cin >> n >> q; cin >> w;
    vector<vector<array<ll, 2>>> g(n);
    vector<array<ll, 3>> edges(n - 1);
    // centroids for full, but too hard to impl, impl at the end if time
    REP(i, n - 1){
        ll a, b, c;
        cin >> a >> b >> c;
        a--; b--;
        g[a].pb({b, i});
        g[b].pb({a, i});
        edges[i] = {a, b, c};
    }
    auto solve12 = [&](){
        int diam1, diam2;
        vector<ll> dist(n, 0);
        function<void(int, int)> dfs = [&](int v, int p){
            for(auto x : g[v]){
                if(x[0] == p) continue;
                ll weight = edges[x[1]][2];
                dist[x[0]] = dist[v] + weight;
                dfs(x[0], v);
            }
        };
        dfs(0, -1); diam1 = max_element(all(dist)) - dist.begin();
        dist[diam1] = 0; dfs(diam1, -1); diam2 = max_element(all(dist)) - dist.begin();
        ll last = 0;
        REP(i, q){
            ll d, e;
            cin >> d >> e;
            d = (d + last) % (n - 1);
            e = (e + last) % w;
            edges[d][2] = e;
            dist[diam1] = 0;
            dfs(diam1, -1); int nxt_diam2 = max_element(all(dist)) - dist.begin();
            ll nxt_diamw2 = *max_element(all(dist));
            dist[diam2] = 0; dfs(diam2, -1); int nxt_diam1 = max_element(all(dist)) - dist.begin();
            ll nxt_diamw1 = *max_element(all(dist));
            if(nxt_diamw1 > nxt_diamw2){
                last = nxt_diamw1;
                diam1 = nxt_diam1;
            }
            else{
                last = nxt_diamw2;
                diam2 = nxt_diam2;
            }
            cout << last << "\n";
        }
    };
    //solve12();
    auto solve = [&](){
        vector<multiset<ll>> depths(n); // for each centroid
        multiset<ll> answers;
        vector<int> par(n, -1); // parent in centroid tree
        vector<int> lev(n, 0); // level of centroid
        const int mxlv = 19;
        vector<vector<int>> in(mxlv, vector<int>(n, -1));
        vector<vector<int>> out(mxlv, vector<int>(n, -1));
        vector<vector<int>> sub_root(mxlv, vector<int>(n, -1));
        vector<segtree> segtrees(mxlv, segtree(n));
        vector<vector<node>> init(mxlv, vector<node>(n));
        vector<int> ptr(mxlv, 0); //vector<vector<node>> init(mxlv, vector<node>(n));
        vector<bool> dead(n, false);
        vector<int> sub(n, 0);
        vector<vector<int>> children(n);
        auto compute_ans = [](multiset<ll> &se){
            multiset<ll> :: reverse_iterator it = se.rbegin();
            if(se.size() == 0) return 0ll;
            ll res = *it;
            if(se.size() > 1){
                it++; res += *it;
            }
            return res;
        };
        function<void(int, int)> getsub = [&](int v, int p){
            sub[v] = 1;
            for(auto x : g[v]){
                if(x[0] == p) continue;
                if(dead[x[0]]) continue;
                getsub(x[0], v);
                sub[v] += sub[x[0]];
            }
        };
        function<int(int, int, int)> get_centroid = [&](int v, int p, int total_size){
            int heavy_child = -1;
            for(auto x : g[v]){
                if(x[0] == p || dead[x[0]]) continue;
                if(sub[x[0]] > total_size / 2)
                    heavy_child = x[0];
            }
            if(heavy_child == -1)
                return v;
            else
                return get_centroid(heavy_child, v, total_size);
        };

        function<void(int, int)> decompose = [&](int v, int p){
            // find centroid of this subtree
            getsub(v, -1);
            int centroid = get_centroid(v, -1, sub[v]);
            par[centroid] = p; // par in centroid tree
            if(p != -1) lev[centroid] = lev[p] + 1;
            int level = lev[centroid];
            int t = ptr[level];
            function<void(int, int, ll, int)> dfs = [&](int v, int p, ll depth, int subrootnum){
                in[level][v] = t;
                //segtrees[level].upd(t, t + 1, depth);
                init[level][t].ans = depth;
                sub_root[level][v] = subrootnum;
                t++;
                for(auto x : g[v]){
                    if(x[0] == p || dead[x[0]]) continue;
                    ll weight = edges[x[1]][2];
                    dfs(x[0], v, depth + weight, subrootnum);
                }
                out[level][v] = t;
            };
            for(auto x : g[centroid]){
                if(dead[x[0]]) continue;
                ll weight = edges[x[1]][2];
                dfs(x[0], centroid, weight, x[0]);
                ptr[level] = t;
            }
            for(auto x : g[centroid]){
                if(dead[x[0]]) continue;
                children[centroid].pb(x[0]);
            }
            /*
            for(auto x : g[centroid]){
                if(dead[x[0]]) continue;
                depths[centroid].insert(segtrees[level].query(in[level][x[0]], out[level][x[0]]).ans);
            }
            answers.insert(compute_ans(depths[centroid]));
            */
            dead[centroid] = true;
            for(auto x : g[centroid]){
                if(dead[x[0]]) continue;
                decompose(x[0], centroid);
            }
        };
        decompose(0, -1);
        REP(i, mxlv) segtrees[i].build(init[i]);
        REP(i, n){
            int level = lev[i];
            for(int x : children[i])
                depths[i].insert(segtrees[level].query(in[level][x], out[level][x]).ans);
            answers.insert(compute_ans(depths[i]));
        }
        ll last = 0;
        REP(i, q){
            ll d, e;
            cin >> d >> e;
            d = (d + last) % (n - 1);
            e = (e + last) % w;
            auto edge = edges[d];
            int frs; // prvy centroid ktoreho sa to dotkne
            if(lev[edge[0]] < lev[edge[1]])
                frs = edge[0];
            else
                frs = edge[1];
            while(frs != -1){
                answers.erase(answers.find(compute_ans(depths[frs])));
                int centroid_lev = lev[frs];
                int desc;
                if(in[centroid_lev][edge[0]] > in[centroid_lev][edge[1]])
                    desc = edge[0];
                else
                    desc = edge[1];
                ll delta = e - edge[2];
                int root = sub_root[centroid_lev][desc];
                depths[frs].erase(depths[frs].find(segtrees[centroid_lev].query(in[centroid_lev][root], out[centroid_lev][root]).ans));
                segtrees[centroid_lev].upd(in[centroid_lev][desc], out[centroid_lev][desc], delta);
                depths[frs].insert(segtrees[centroid_lev].query(in[centroid_lev][root], out[centroid_lev][root]).ans);
                answers.insert(compute_ans(depths[frs]));
                frs = par[frs];
            }
            edges[d][2] = e;
            last = *answers.rbegin();
            cout << last << "\n";
        }
    };
    solve();
    return 0;
}

Compilation message

diameter.cpp: In member function 'void segtree::build(std::vector<node>&)':
diameter.cpp:86:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<node>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   86 |             if(i < init.size())
      |                ~~^~~~~~~~~~~~~
diameter.cpp: In function 'int main()':
diameter.cpp:138:10: warning: variable 'solve12' set but not used [-Wunused-but-set-variable]
  138 |     auto solve12 = [&](){
      |          ^~~~~~~

Subtask #1
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 492 KB Output is correct
14 Correct 1 ms 492 KB Output is correct
15 Correct 1 ms 492 KB Output is correct
16 Correct 1 ms 620 KB Output is correct
17 Correct 1 ms 512 KB Output is correct
18 Correct 1 ms 492 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 492 KB Output is correct
14 Correct 1 ms 492 KB Output is correct
15 Correct 1 ms 492 KB Output is correct
16 Correct 1 ms 620 KB Output is correct
17 Correct 1 ms 512 KB Output is correct
18 Correct 1 ms 492 KB Output is correct
19 Correct 25 ms 1852 KB Output is correct
20 Correct 27 ms 1772 KB Output is correct
21 Correct 32 ms 1772 KB Output is correct
22 Correct 40 ms 1900 KB Output is correct
23 Correct 53 ms 9320 KB Output is correct
24 Correct 75 ms 9320 KB Output is correct
25 Correct 75 ms 9448 KB Output is correct
26 Correct 91 ms 9832 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 2 ms 364 KB Output is correct
4 Correct 14 ms 492 KB Output is correct
5 Correct 78 ms 876 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 1004 KB Output is correct
8 Correct 2 ms 1004 KB Output is correct
9 Correct 3 ms 1004 KB Output is correct
10 Correct 20 ms 1132 KB Output is correct
11 Correct 94 ms 1516 KB Output is correct
12 Correct 14 ms 9320 KB Output is correct
13 Correct 15 ms 9340 KB Output is correct
14 Correct 14 ms 9320 KB Output is correct
15 Correct 38 ms 9320 KB Output is correct
16 Correct 147 ms 9832 KB Output is correct
17 Correct 229 ms 158036 KB Output is correct
18 Correct 229 ms 158036 KB Output is correct
19 Correct 239 ms 158036 KB Output is correct
20 Correct 297 ms 158164 KB Output is correct
21 Correct 608 ms 158548 KB Output is correct

Subtask #4
0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 1772 KB Output is correct
2 Correct 45 ms 1772 KB Output is correct
3 Correct 203 ms 2028 KB Output is correct
4 Correct 432 ms 2412 KB Output is correct
5 Correct 37 ms 18280 KB Output is correct
6 Correct 119 ms 18536 KB Output is correct
7 Correct 467 ms 18664 KB Output is correct
8 Correct 898 ms 18920 KB Output is correct
9 Correct 161 ms 80164 KB Output is correct
10 Correct 316 ms 80164 KB Output is correct
11 Correct 1033 ms 80676 KB Output is correct
12 Correct 1941 ms 81404 KB Output is correct
13 Correct 343 ms 160788 KB Output is correct
14 Correct 518 ms 160860 KB Output is correct
15 Correct 1408 ms 161372 KB Output is correct
16 Correct 2459 ms 161592 KB Output is correct
17 Execution timed out 5097 ms 161664 KB Time limit exceeded

Subtask #5
0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 3932 ms 162272 KB Output is correct
2 Correct 4185 ms 161956 KB Output is correct
3 Correct 4061 ms 162272 KB Output is correct
4 Correct 4133 ms 162028 KB Output is correct
5 Correct 3905 ms 162008 KB Output is correct
6 Correct 3631 ms 161248 KB Output is correct
7 Execution timed out 5103 ms 165352 KB Time limit exceeded
8 Halted 0 ms 0 KB -

Subtask #6
0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 492 KB Output is correct
14 Correct 1 ms 492 KB Output is correct
15 Correct 1 ms 492 KB Output is correct
16 Correct 1 ms 620 KB Output is correct
17 Correct 1 ms 512 KB Output is correct
18 Correct 1 ms 492 KB Output is correct
19 Correct 25 ms 1852 KB Output is correct
20 Correct 27 ms 1772 KB Output is correct
21 Correct 32 ms 1772 KB Output is correct
22 Correct 40 ms 1900 KB Output is correct
23 Correct 53 ms 9320 KB Output is correct
24 Correct 75 ms 9320 KB Output is correct
25 Correct 75 ms 9448 KB Output is correct
26 Correct 91 ms 9832 KB Output is correct
27 Correct 1 ms 364 KB Output is correct
28 Correct 1 ms 364 KB Output is correct
29 Correct 2 ms 364 KB Output is correct
30 Correct 14 ms 492 KB Output is correct
31 Correct 78 ms 876 KB Output is correct
32 Correct 1 ms 364 KB Output is correct
33 Correct 1 ms 1004 KB Output is correct
34 Correct 2 ms 1004 KB Output is correct
35 Correct 3 ms 1004 KB Output is correct
36 Correct 20 ms 1132 KB Output is correct
37 Correct 94 ms 1516 KB Output is correct
38 Correct 14 ms 9320 KB Output is correct
39 Correct 15 ms 9340 KB Output is correct
40 Correct 14 ms 9320 KB Output is correct
41 Correct 38 ms 9320 KB Output is correct
42 Correct 147 ms 9832 KB Output is correct
43 Correct 229 ms 158036 KB Output is correct
44 Correct 229 ms 158036 KB Output is correct
45 Correct 239 ms 158036 KB Output is correct
46 Correct 297 ms 158164 KB Output is correct
47 Correct 608 ms 158548 KB Output is correct
48 Correct 7 ms 1772 KB Output is correct
49 Correct 45 ms 1772 KB Output is correct
50 Correct 203 ms 2028 KB Output is correct
51 Correct 432 ms 2412 KB Output is correct
52 Correct 37 ms 18280 KB Output is correct
53 Correct 119 ms 18536 KB Output is correct
54 Correct 467 ms 18664 KB Output is correct
55 Correct 898 ms 18920 KB Output is correct
56 Correct 161 ms 80164 KB Output is correct
57 Correct 316 ms 80164 KB Output is correct
58 Correct 1033 ms 80676 KB Output is correct
59 Correct 1941 ms 81404 KB Output is correct
60 Correct 343 ms 160788 KB Output is correct
61 Correct 518 ms 160860 KB Output is correct
62 Correct 1408 ms 161372 KB Output is correct
63 Correct 2459 ms 161592 KB Output is correct
64 Execution timed out 5097 ms 161664 KB Time limit exceeded