oj.uz

Submission #619055

# Submission time Handle Problem Language Result Execution time Memory
619055 2022-08-02T09:32:21 Z Je_O Dynamic Diameter (CEOI19_diameter) C++17
31 / 100
 5000 ms 8764 KB 
// #pragma GCC optimize("O3")
// #pragma GCC optimize("unroll-loops")
// #pragma GCC target("avx2")
#include<bits/stdc++.h>
#define fi first
#define se second
#define mp make_pair
#define pb push_back
using namespace std;
typedef long long ll;
typedef pair<int, int> ii;
typedef pair<int, ii> iii;

const int N = 1e5 + 5;
const int LOG = 18;
const int INF = 1e9;
vector<iii> vec;
vector<ii> lst[N];
int dist[N];

void solve_sub2(int n, int q, int w){
    int last = 0;
    while(q--){
        int d, e; cin >> d >> e;
        d = (d + last) % (n - 1);
        e = (e + last) % w;
        vec[d].fi = e;
        for(int i = 1; i <= n; ++i)lst[i].clear();
        for(int i = 0; i < n - 1; ++i){
            lst[vec[i].se.fi].pb(mp(vec[i].se.se, vec[i].fi));
            lst[vec[i].se.se].pb(mp(vec[i].se.fi, vec[i].fi));
        }
        for(int i = 1; i <= n; ++i)dist[i] = INF;
        queue<int> q;
        q.push(1);
        dist[1] = 0;
        while(!q.empty()){
            int cur = q.front(); q.pop();
            for(int i = 0; i < lst[cur].size(); ++i){
                int nx = lst[cur][i].fi;
                int cs = dist[cur] + lst[cur][i].se;
                if(cs < dist[nx]){
                    dist[nx] = cs;
                    q.push(nx);
                }
            }
        }
        ii maxdist = mp(-1, -1);
        for(int i = 1; i <= n; ++i){
            maxdist = max(maxdist, mp(dist[i], i));
        }
        for(int i = 1; i <= n; ++i)dist[i] = INF;
        q.push(maxdist.se);
        dist[maxdist.se] = 0;
        while(!q.empty()){
            int cur = q.front(); q.pop();
            for(int i = 0; i < lst[cur].size(); ++i){
                int nx = lst[cur][i].fi;
                int cs = dist[cur] + lst[cur][i].se;
                if(cs < dist[nx]){
                    dist[nx] = cs;
                    q.push(nx);
                }
            }
        }
        int ans = -1;
        for(int i = 1; i <= n; ++i){
            ans = max(ans, dist[i]);
        }
        last = ans;
        cout << ans << '\n';
    }
    return;
}

map<int, int> mep;

void solve_sub3(int n, int q, int w){
    int last = 0;
    while(q--){
        int d, e; cin >> d >> e;
        d = (d + last) % (n - 1);
        e = (e + last) % w;
        --mep[vec[d].fi];
        if(mep[vec[d].fi] == 0)mep.erase(vec[d].fi);
        ++mep[e];
        vec[d].fi = e;
        auto it = mep.end();
        --it;
        int ans = it->fi;
        if(it->se > 1)ans += it->fi;
        else{
            --it;
            ans += it->fi;
        }
        last = ans;
        cout << ans << '\n';
    }
    return;
}

int par[N];
int depth[N];
int cost[N];
int ar[LOG][N];
int lf[N], rg[N];

struct node{
    int mx1, mx2, lz;
};

node st[LOG][4 * N];

node merge(node a, node b){
    return {max(a.mx1, b.mx1), max(min(a.mx1, b.mx1), max(a.mx2, b.mx2)), 0};
}

void build(int idx, int l, int r, int lg){
    if(l == r){
        st[lg][l] = {ar[lg][l], -1, 0};
        return;
    }
    int m = (l + r)/2;
    build(idx * 2, l, m, lg);
    build(idx * 2 + 1, m + 1, r, lg);
    st[lg][idx] = merge(st[lg][idx * 2], st[lg][idx * 2 + 1]);
    return;
}

void apply(int idx, int l, int r, int v, int lg){
    st[lg][idx].mx1 += v;
    st[lg][idx].mx2 += v;
    st[lg][idx].lz += v;
    return;
}

void pushdown(int idx, int l, int r, int lg){
    if(st[lg][idx].lz == 0)return;
    int m = (l + r)/2;
    apply(idx * 2, l, m, st[lg][idx].lz, lg);
    apply(idx * 2 + 1, m + 1, r, st[lg][idx].lz, lg);
    st[lg][idx].lz = 0;
    return;
}

void upd(int idx, int l, int r, int x, int y, int v, int lg){
    if(l > y || r < x)return;
    if(l >= x && r <= y){
        apply(idx, l, r, v, lg);
        return;
    }
    pushdown(idx, l, r, lg);
    int m = (l + r)/2;
    upd(idx * 2, l, m, x, y, v, lg);
    upd(idx * 2 + 1, m + 1, r, x, y, v, lg);
    st[lg][idx] = merge(st[lg][idx * 2], st[lg][idx * 2 + 1]);
    return;
}

node get(int idx, int l, int r, int x, int y, int lg){
    if(l > y || r < x)return {-1, -1, 0};
    if(l >= x && r <= y)return st[idx][lg];
    pushdown(idx, l, r, lg);
    int m = (l + r)/2;
    return merge(get(idx * 2, l, m, x, y, lg), get(idx * 2 + 1, m + 1, r, x, y, lg));
}

ii dfs(int idx, int p){
    par[idx] = p;
    ii res = mp(INF, 0);
    for(int i = 0; i < lst[idx].size(); ++i){
        int nx = lst[idx][i].fi;
        if(nx == p)continue;
        cost[nx] = lst[idx][i].se;
        depth[nx] = depth[idx] + 1;
        ii cur = dfs(nx, idx);
        res.fi = min(res.fi, cur.fi);
        res.se = max(res.se, cur.se);
    }
    lf[idx] = res.fi; rg[idx] = res.se;
    return res;
}

void build_ar(int l, int r){
    for(int i = l; i <= r; ++i){
        int idx = i;
        int sum_cost = 0;
        while(par[idx] != -1){
            sum_cost += cost[idx];
            idx = par[idx];
            ar[depth[idx]][i] = sum_cost;
        }
    }
    return;
}

int main(){
    ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);
    int n, q, w; cin >> n >> q >> w;
    bool sub3 = true;
    for(int i = 0; i < n - 1; ++i){
        int a, b, c; cin >> a >> b >> c;
        lst[a].pb(mp(b, c));
        lst[b].pb(mp(a, c));
        vec.pb(mp(c, mp(a, b)));
        ++mep[c];
        if(a != 1 && b != 1)sub3 = false;
    }
    if(n <= 5000 && q <= 5000){
        solve_sub2(n, q, w);
        return 0;
    }
    if(sub3){
        solve_sub3(n, q, w);
        return 0;
    }
    mep.clear();
    dfs(1, -1);
    int id_l = 0;
    for(int i = 1; i <= n; ++i){
        if(lst[i].size() == 1){
            id_l = i;
            break;
        }
    }
    build_ar(id_l, n);
    for(int i = 0; i < LOG; ++i)build(1, 1, n, i);
    for(int i = 1; i < id_l; ++i){
        node res = get(1, 1, n, lf[i], rg[i], depth[i]);
        mep[res.mx1 + res.mx2]++;
    }
    int last = 0;
    while(q--){
        int d, e; cin >> d >> e;
        d = (d + last) % (n - 1);
        e = (e + last) % w;
        int x = vec[d].se.fi, y = vec[d].se.se;
        if(depth[x] < depth[y])swap(x, y);
        int idx = x;
        while(par[idx] != -1){
            idx = par[idx];
            node res = get(1, 1, n, lf[idx], rg[idx], depth[idx]);
            mep[res.mx1 + res.mx2]--;
            if(mep[res.mx1 + res.mx2] == 0)mep.erase(res.mx1 + res.mx2);
            upd(1, 1, n, lf[x], rg[x], e - cost[x], depth[idx]);
            res = get(1, 1, n, lf[idx], rg[idx], depth[idx]);
            mep[res.mx1 + res.mx2]++;
        }
        cost[x] = e;
        vec[d].fi = e;
        auto it = mep.end();
        --it;
        int ans = it->fi;
        if(it->se > 1){
            ans += it->fi;
        }else{
            --it;
            ans += it->fi;
        }
        last = ans;
        cout << ans << '\n';
    }
    return 0;
}

Compilation message

diameter.cpp: In function 'void solve_sub2(int, int, int)':
diameter.cpp:39:30: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   39 |             for(int i = 0; i < lst[cur].size(); ++i){
      |                            ~~^~~~~~~~~~~~~~~~~
diameter.cpp:57:30: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   57 |             for(int i = 0; i < lst[cur].size(); ++i){
      |                            ~~^~~~~~~~~~~~~~~~~
diameter.cpp: In function 'ii dfs(int, int)':
diameter.cpp:171:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  171 |     for(int i = 0; i < lst[idx].size(); ++i){
      |                    ~~^~~~~~~~~~~~~~~~~

Subtask #1
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 1 ms 2644 KB Output is correct
3 Correct 2 ms 2552 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 2 ms 2644 KB Output is correct
6 Correct 2 ms 2644 KB Output is correct
7 Correct 2 ms 2644 KB Output is correct
8 Correct 2 ms 2644 KB Output is correct
9 Correct 2 ms 2644 KB Output is correct
10 Correct 2 ms 2644 KB Output is correct
11 Correct 2 ms 2644 KB Output is correct
12 Correct 2 ms 2644 KB Output is correct
13 Correct 3 ms 2644 KB Output is correct
14 Correct 2 ms 2644 KB Output is correct
15 Correct 3 ms 2772 KB Output is correct
16 Correct 4 ms 2644 KB Output is correct
17 Correct 2 ms 2644 KB Output is correct
18 Correct 2 ms 2644 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 1 ms 2644 KB Output is correct
3 Correct 2 ms 2552 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 2 ms 2644 KB Output is correct
6 Correct 2 ms 2644 KB Output is correct
7 Correct 2 ms 2644 KB Output is correct
8 Correct 2 ms 2644 KB Output is correct
9 Correct 2 ms 2644 KB Output is correct
10 Correct 2 ms 2644 KB Output is correct
11 Correct 2 ms 2644 KB Output is correct
12 Correct 2 ms 2644 KB Output is correct
13 Correct 3 ms 2644 KB Output is correct
14 Correct 2 ms 2644 KB Output is correct
15 Correct 3 ms 2772 KB Output is correct
16 Correct 4 ms 2644 KB Output is correct
17 Correct 2 ms 2644 KB Output is correct
18 Correct 2 ms 2644 KB Output is correct
19 Correct 310 ms 2788 KB Output is correct
20 Correct 305 ms 2776 KB Output is correct
21 Correct 324 ms 2772 KB Output is correct
22 Correct 316 ms 2800 KB Output is correct
23 Correct 1934 ms 3148 KB Output is correct
24 Correct 2074 ms 3108 KB Output is correct
25 Correct 2077 ms 3120 KB Output is correct
26 Correct 2019 ms 3236 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 4 ms 2644 KB Output is correct
4 Correct 9 ms 2772 KB Output is correct
5 Correct 38 ms 3064 KB Output is correct
6 Correct 2 ms 2644 KB Output is correct
7 Correct 2 ms 2644 KB Output is correct
8 Correct 6 ms 2644 KB Output is correct
9 Correct 43 ms 2728 KB Output is correct
10 Correct 10 ms 2736 KB Output is correct
11 Correct 39 ms 3156 KB Output is correct
12 Correct 4 ms 3028 KB Output is correct
13 Correct 3 ms 3028 KB Output is correct
14 Correct 7 ms 3028 KB Output is correct
15 Correct 15 ms 3156 KB Output is correct
16 Correct 45 ms 3508 KB Output is correct
17 Correct 35 ms 7792 KB Output is correct
18 Correct 40 ms 7756 KB Output is correct
19 Correct 38 ms 7880 KB Output is correct
20 Correct 47 ms 7884 KB Output is correct
21 Correct 99 ms 8764 KB Output is correct

Subtask #4
0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 62 ms 2772 KB Output is correct
2 Execution timed out 5038 ms 3156 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #5
0 / 24.0

# Verdict Execution time Memory Grader output
1 Runtime error 6 ms 5176 KB Execution killed with signal 11
2 Halted 0 ms 0 KB -

Subtask #6
0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 1 ms 2644 KB Output is correct
3 Correct 2 ms 2552 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 2 ms 2644 KB Output is correct
6 Correct 2 ms 2644 KB Output is correct
7 Correct 2 ms 2644 KB Output is correct
8 Correct 2 ms 2644 KB Output is correct
9 Correct 2 ms 2644 KB Output is correct
10 Correct 2 ms 2644 KB Output is correct
11 Correct 2 ms 2644 KB Output is correct
12 Correct 2 ms 2644 KB Output is correct
13 Correct 3 ms 2644 KB Output is correct
14 Correct 2 ms 2644 KB Output is correct
15 Correct 3 ms 2772 KB Output is correct
16 Correct 4 ms 2644 KB Output is correct
17 Correct 2 ms 2644 KB Output is correct
18 Correct 2 ms 2644 KB Output is correct
19 Correct 310 ms 2788 KB Output is correct
20 Correct 305 ms 2776 KB Output is correct
21 Correct 324 ms 2772 KB Output is correct
22 Correct 316 ms 2800 KB Output is correct
23 Correct 1934 ms 3148 KB Output is correct
24 Correct 2074 ms 3108 KB Output is correct
25 Correct 2077 ms 3120 KB Output is correct
26 Correct 2019 ms 3236 KB Output is correct
27 Correct 1 ms 2644 KB Output is correct
28 Correct 2 ms 2644 KB Output is correct
29 Correct 4 ms 2644 KB Output is correct
30 Correct 9 ms 2772 KB Output is correct
31 Correct 38 ms 3064 KB Output is correct
32 Correct 2 ms 2644 KB Output is correct
33 Correct 2 ms 2644 KB Output is correct
34 Correct 6 ms 2644 KB Output is correct
35 Correct 43 ms 2728 KB Output is correct
36 Correct 10 ms 2736 KB Output is correct
37 Correct 39 ms 3156 KB Output is correct
38 Correct 4 ms 3028 KB Output is correct
39 Correct 3 ms 3028 KB Output is correct
40 Correct 7 ms 3028 KB Output is correct
41 Correct 15 ms 3156 KB Output is correct
42 Correct 45 ms 3508 KB Output is correct
43 Correct 35 ms 7792 KB Output is correct
44 Correct 40 ms 7756 KB Output is correct
45 Correct 38 ms 7880 KB Output is correct
46 Correct 47 ms 7884 KB Output is correct
47 Correct 99 ms 8764 KB Output is correct
48 Correct 62 ms 2772 KB Output is correct
49 Execution timed out 5038 ms 3156 KB Time limit exceeded
50 Halted 0 ms 0 KB -