oj.uz

Submission #619160

# Submission time Handle Problem Language Result Execution time Memory
619160 2022-08-02T10:19:16 Z Je_O Dynamic Diameter (CEOI19_diameter) C++17
31 / 100
 5000 ms 8728 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 = 2e9 + 5;
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[N];
int lf[N], rg[N];

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

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

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

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

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

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

ii dfs(int idx, int p, int cur_sum){
    par[idx] = p;
    ar[idx] = cur_sum;
    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, cur_sum + lst[idx][i].se);
        res.fi = min(res.fi, cur.fi);
        res.se = max(res.se, cur.se);
    }
    lf[idx] = res.fi; rg[idx] = res.se;
    return res;
}

node rs[N];

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, 0);
    int id_l = 0;
    for(int i = 1; i <= n; ++i){
        if(lst[i].size() == 1){
            id_l = i;
            break;
        }
    }
    build(1, 1, n);
    for(int i = 1; i < id_l; ++i){
        rs[i] = get(1, 1, n, lf[i], rg[i]);
        rs[i].mx1 -= ar[i];
        rs[i].mx2 -= ar[i];
        mep[rs[i].mx1 + rs[i].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);
        upd(1, 1, n, lf[x], rg[x], e - cost[x]);
        int idx = x;
        while(par[idx] != -1){
            idx = par[idx];
            int last_sum = rs[idx].mx1 + rs[idx].mx2;
            mep[last_sum]--;
            rs[idx] = get(1, 1, n, lf[idx], rg[idx]);
            rs[idx].mx1 -= ar[idx];
            rs[idx].mx2 -= ar[idx];
            mep[rs[idx].mx1 + rs[idx].mx2]++;
        }
        cost[x] = e;
        vec[d].fi = e;
        auto it = mep.end();
        --it;
        while(it->se == 0){
            mep.erase(it->fi);
            --it;
        }
        int ans = it->fi;
        if(it->se > 1){
            ans += it->fi;
        }else{
            while(it->se == 0){
                mep.erase(it->fi);
                --it;
            }
            --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, int)':
diameter.cpp:172:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  172 |     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 1 ms 2644 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 1 ms 2644 KB Output is correct
6 Correct 1 ms 2644 KB Output is correct
7 Correct 2 ms 2684 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 2644 KB Output is correct
16 Correct 2 ms 2644 KB Output is correct
17 Correct 3 ms 2644 KB Output is correct
18 Correct 2 ms 2692 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 1 ms 2644 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 1 ms 2644 KB Output is correct
6 Correct 1 ms 2644 KB Output is correct
7 Correct 2 ms 2684 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 2644 KB Output is correct
16 Correct 2 ms 2644 KB Output is correct
17 Correct 3 ms 2644 KB Output is correct
18 Correct 2 ms 2692 KB Output is correct
19 Correct 292 ms 2776 KB Output is correct
20 Correct 297 ms 2792 KB Output is correct
21 Correct 322 ms 2772 KB Output is correct
22 Correct 303 ms 2800 KB Output is correct
23 Correct 1914 ms 3260 KB Output is correct
24 Correct 2062 ms 3268 KB Output is correct
25 Correct 2180 ms 3272 KB Output is correct
26 Correct 2041 ms 3152 KB Output is correct

Subtask #3
7.0 / 7.0

# 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 3 ms 2644 KB Output is correct
4 Correct 10 ms 2756 KB Output is correct
5 Correct 38 ms 2992 KB Output is correct
6 Correct 2 ms 2644 KB Output is correct
7 Correct 2 ms 2644 KB Output is correct
8 Correct 5 ms 2644 KB Output is correct
9 Correct 48 ms 2772 KB Output is correct
10 Correct 11 ms 2828 KB Output is correct
11 Correct 48 ms 3132 KB Output is correct
12 Correct 4 ms 3028 KB Output is correct
13 Correct 6 ms 3028 KB Output is correct
14 Correct 7 ms 3092 KB Output is correct
15 Correct 13 ms 3164 KB Output is correct
16 Correct 47 ms 3500 KB Output is correct
17 Correct 44 ms 7776 KB Output is correct
18 Correct 45 ms 7788 KB Output is correct
19 Correct 60 ms 7860 KB Output is correct
20 Correct 45 ms 7908 KB Output is correct
21 Correct 96 ms 8728 KB Output is correct

Subtask #4
0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 47 ms 2788 KB Output is correct
2 Execution timed out 5054 ms 2772 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #5
0 / 24.0

# Verdict Execution time Memory Grader output
1 Runtime error 4 ms 5204 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 1 ms 2644 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 1 ms 2644 KB Output is correct
6 Correct 1 ms 2644 KB Output is correct
7 Correct 2 ms 2684 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 2644 KB Output is correct
16 Correct 2 ms 2644 KB Output is correct
17 Correct 3 ms 2644 KB Output is correct
18 Correct 2 ms 2692 KB Output is correct
19 Correct 292 ms 2776 KB Output is correct
20 Correct 297 ms 2792 KB Output is correct
21 Correct 322 ms 2772 KB Output is correct
22 Correct 303 ms 2800 KB Output is correct
23 Correct 1914 ms 3260 KB Output is correct
24 Correct 2062 ms 3268 KB Output is correct
25 Correct 2180 ms 3272 KB Output is correct
26 Correct 2041 ms 3152 KB Output is correct
27 Correct 2 ms 2644 KB Output is correct
28 Correct 1 ms 2644 KB Output is correct
29 Correct 3 ms 2644 KB Output is correct
30 Correct 10 ms 2756 KB Output is correct
31 Correct 38 ms 2992 KB Output is correct
32 Correct 2 ms 2644 KB Output is correct
33 Correct 2 ms 2644 KB Output is correct
34 Correct 5 ms 2644 KB Output is correct
35 Correct 48 ms 2772 KB Output is correct
36 Correct 11 ms 2828 KB Output is correct
37 Correct 48 ms 3132 KB Output is correct
38 Correct 4 ms 3028 KB Output is correct
39 Correct 6 ms 3028 KB Output is correct
40 Correct 7 ms 3092 KB Output is correct
41 Correct 13 ms 3164 KB Output is correct
42 Correct 47 ms 3500 KB Output is correct
43 Correct 44 ms 7776 KB Output is correct
44 Correct 45 ms 7788 KB Output is correct
45 Correct 60 ms 7860 KB Output is correct
46 Correct 45 ms 7908 KB Output is correct
47 Correct 96 ms 8728 KB Output is correct
48 Correct 47 ms 2788 KB Output is correct
49 Execution timed out 5054 ms 2772 KB Time limit exceeded
50 Halted 0 ms 0 KB -