Submission #525879

#	Time	Username	Problem	Language	Result	Execution time	Memory
525879		mjhmjh1104	Mountains and Valleys (CCO20_day1problem3)	C++17	5 / 25	41 ms	32204 KiB

Main

#include <set>
#include <cstdio>
#include <vector>
#include <utility>
#include <iterator>
#include <algorithm>
using namespace std;

struct Item {
    int posde = (int)-1e9;
    int negde = (int)-1e9;
    int ans = (int)-1e9;
} tree_split[524288];

Item f(const Item a, const Item b) {
    Item ret = { max(a.posde, b.posde), max(a.negde, b.negde), max(a.ans, b.ans) };
    ret.ans = max(ret.ans, a.posde + b.negde);
    return ret;
}

int query_deg(int i, int b, int e, int l, int r) {
    if (r < l || r < b || e < l) return (int)-1e9;
    if (l <= b && e <= r) return tree_split[i].negde;
    int m = (b + e) / 2;
    return max(query_deg(i * 2 + 1, b, m, l, r), query_deg(i * 2 + 2, m + 1, e, l, r));
}

Item query_split(int i, int b, int e, int l, int r) {
    if (r < l || r < b || e < l) return Item{ (int)-1e9, (int)-1e9, (int)-1e9 };
    if (l <= b && e <= r) return tree_split[i];
    int m = (b + e) / 2;
    return f(query_split(i * 2 + 1, b, m, l, r), query_split(i * 2 + 2, m + 1, e, l, r));
}

int n, m;
vector<int> tree[200006], child[200006];
vector<pair<int, int>> adj[200006];
int sz[200006], depth[200006], par[200006];
int in[200006], top[100006], T;
int sp[18][200006];
multiset<int> lt_depth[200006];
int max_depth[200006], rev_max_depth[200006], dist[200006], rev_dist[200006];
int edge[200006];

int query_hld_half(int u, int v) {
    int ret = (int)-1e9;
    int pv = -1;
    while (top[u] != top[v]) {
        if (depth[top[u]] < depth[top[v]]) swap(u, v);
        if (pv != -1) lt_depth[u].erase(lt_depth[u].find(max_depth[pv] + 1));
        ret = max(ret, (lt_depth[u].empty() ? 0 : *lt_depth[u].rbegin()) - depth[u]);
        if (pv != -1) lt_depth[u].insert(max_depth[pv] + 1);
        ret = max(ret, query_deg(0, 0, 262143, in[top[u]], in[u] - 1));
        pv = top[u];
        u = par[top[u]];
    }
    if (depth[u] < depth[v]) swap(u, v);
    if (pv != -1) lt_depth[u].erase(lt_depth[u].find(max_depth[pv] + 1));
    ret = max(ret, (lt_depth[u].empty() ? 0 : *lt_depth[u].rbegin()) - depth[u]);
    if (pv != -1) lt_depth[u].insert(max_depth[pv] + 1);
    ret = max(ret, query_deg(0, 0, 262143, in[v], in[u] - 1));
    return ret;
}

int query_hld_res(int u, int v) {
    vector<Item> z;
    int pv = -1;
    while (top[u] != top[v]) {
        if (depth[top[u]] < depth[top[v]]) swap(u, v);
        if (pv != -1) lt_depth[u].erase(lt_depth[u].find(max_depth[pv] + 1));
        int V = (lt_depth[u].empty() ? 0 : *lt_depth[u].rbegin());
        z.push_back(Item{ V + depth[u], V - depth[u], (int)-1e9 });
        if (pv != -1) lt_depth[u].insert(max_depth[pv] + 1);
        z.push_back(query_split(0, 0, 262143, in[top[u]], in[u] - 1));
        if (z.back().posde == (int)-1e9) z.pop_back();
        pv = top[u];
        u = par[top[u]];
    }
    if (depth[u] < depth[v]) swap(u, v);
    if (pv != -1) lt_depth[u].erase(lt_depth[u].find(max_depth[pv] + 1));
    int V = (lt_depth[u].empty() ? 0 : *lt_depth[u].rbegin());
    z.push_back(Item{ V + depth[u], V - depth[u], (int)-1e9 });
    if (pv != -1) lt_depth[u].insert(max_depth[pv] + 1);
    z.push_back(query_split(0, 0, 262143, in[v], in[u] - 1));
    if (z.back().posde == (int)-1e9) z.pop_back();
    reverse(z.begin(), z.end());
    int ret = (int)-1e9;
    for (auto &i: z) ret = max(ret, i.ans);
    for (int i = 0; i < (int)z.size(); i++) for (int j = i + 1; j < (int)z.size(); j++) ret = max(ret, z[i].posde + z[j].negde);
    return ret;
}
 
int dfs_dist(int x) {
    vector<int> v;
    max_depth[x] = 0;
    dist[x] = 0;
    for (auto &i: child[x]) {
        v.push_back(dfs_dist(i) + 1);
        max_depth[x] = max(max_depth[x], v.back());
        dist[x] = max(dist[x], dist[i]);
    }
    int v0 = max_element(v.begin(), v.end()) - v.begin();
    int X = v[v0];
    if (!v.empty()) v[v0] = 0;
    int v1 = max_element(v.begin(), v.end()) - v.begin();
    v[v0] = X;
    if (!v.empty()) dist[x] = max(dist[x], v[v0]);
    if ((int)v.size() > 1) dist[x] = max(dist[x], v[v0] + v[v1]);
    return max_depth[x];
}

void dfs_rev_dist(int x) {
    multiset<int> v, u, w;
    v.insert(rev_max_depth[x]);
    u.insert(rev_dist[x]);
    for (auto &i: child[x]) {
        v.insert(max_depth[i] + 1);
        u.insert(dist[i]);
    }
    for (auto &i: child[x]) {
        v.erase(v.find(max_depth[i] + 1));
        u.erase(u.find(dist[i]));
        if (!u.empty()) rev_dist[i] = *u.rbegin();
        if (!v.empty()) rev_dist[i] = max(rev_dist[i], rev_max_depth[i] = *v.rbegin() + 1);
        if ((int)v.size() > 1) rev_dist[i] = max(rev_dist[i], *v.rbegin() + *prev(prev(v.end())));
        v.insert(max_depth[i] + 1);
        u.insert(dist[i]);
    }
    for (auto &i: child[x]) dfs_rev_dist(i);
}

void dfs_edge(int x) {
    multiset<int> v;
    for (auto &i: child[x]) v.insert(max_depth[i] + 1);
    for (auto &i: child[x]) {
        v.erase(v.find(max_depth[i] + 1));
        if ((int)v.size() > 1) edge[i] = *v.rbegin() + *prev(prev(v.end()));
        else if (!v.empty()) edge[i] = *v.rbegin();
        v.insert(max_depth[i] + 1);
    }
    for (auto &i: child[x]) dfs_edge(i);
}

void dfs_child(int x, int prev = -1) {
    par[x] = prev;
    for (auto &i: tree[x]) if (i != prev) {
        child[x].push_back(i);
        dfs_child(i, x);
    }
}

int dfs_sz(int x) {
    sz[x] = 1;
    for (auto &i: child[x]) {
        depth[i] = depth[x] + 1;
        sz[x] += dfs_sz(i);
        if (sz[i] > sz[child[x][0]]) swap(child[x][0], i);
    }
    return sz[x];
}

void dfs_hld(int x) {
    in[x] = T++;
    for (auto &i: child[x]) {
        top[i] = (i == child[x][0] ? top[x] : i);
        dfs_hld(i);
    }
}

int lca(int u, int v) {
    int ret = 0;
    while (top[u] != top[v]) {
        if (depth[top[u]] < depth[top[v]]) swap(u, v);
        ret += depth[u] - depth[par[top[u]]];
        u = par[top[u]];
    }
    if (depth[u] > depth[v]) swap(u, v);
    return u;
}

int pr(int x, int y) {
    for (int t = 17; t >= 0; t--) if (y >= 1 << t) {
        y -= 1 << t;
        x = sp[t][x];
    }
    return x;
}

int tree_dist[524288], tree_edge[524288];

int query_dist(int i, int b, int e, int l, int r) {
    if (r < l || r < b || e < l) return 0;
    if (l <= b && e <= r) return tree_dist[i];
    int m = (b + e) / 2;
    return max(query_dist(i * 2 + 1, b, m, l, r), query_dist(i * 2 + 2, m + 1, e, l, r));
}

int query_edge(int i, int b, int e, int l, int r) {
    if (r < l || r < b || e < l) return 0;
    if (l <= b && e <= r) return tree_edge[i];
    int m = (b + e) / 2;
    return max(query_edge(i * 2 + 1, b, m, l, r), query_edge(i * 2 + 2, m + 1, e, l, r));
}

vector<pair<int, int>> lt;

void query_hld(int u, int v) {
    while (top[u] != top[v]) {
        if (depth[top[u]] < depth[top[v]]) swap(u, v);
        lt.push_back({ in[top[u]], in[u] });
        u = par[top[u]];
    }
    lt.push_back({ min(in[u], in[v]), max(in[u], in[v]) });
}

int query_hld_dist(int u, int v, int x, int y) {
    lt.clear();
    query_hld(u, v);
    sort(lt.begin(), lt.end());
    int ret = max(query_dist(0, 0, 262143, x, lt[0].first - 1), query_dist(0, 0, 262143, lt.back().second + 1, y));
    for (int i = 1; i < (int)lt.size(); i++) ret = max(ret, query_dist(0, 0, 262143, lt[i - 1].second + 1, lt[i].first - 1));
    return ret;
}

int query_hld_edge(int u, int v) {
    int ret = 0;
    while (top[u] != top[v]) {
        if (depth[top[u]] < depth[top[v]]) swap(u, v);
        ret = max(ret, query_edge(0, 0, 262143, in[top[u]], in[u]));
        u = par[top[u]];
    }
    ret = max(ret, query_edge(0, 0, 262143, min(in[u], in[v]), max(in[u], in[v])));
    return ret;
}

int main() {
    scanf("%d%d", &n, &m);
    while (m--) {
        int x, y, w;
        scanf("%d%d%d", &x, &y, &w);
        if (w == 1) {
            tree[x].push_back(y);
            tree[y].push_back(x);
        } else {
            adj[x].push_back({ y, w });
            adj[y].push_back({ x, w });
        }
    }
    dfs_child(0);
    dfs_sz(0);
    dfs_hld(0);
    dfs_dist(0);
    dfs_rev_dist(0);
    dfs_edge(0);
    for (int i = 0; i < n; i++) sp[0][i] = par[i];
    for (int t = 1; t < 18; t++) for (int i = 0; i < n; i++) {
        if (sp[t - 1][i] == -1) sp[t][i] = -1;
        else sp[t][i] = sp[t - 1][sp[t - 1][i]];
    }
    for (int i = 0; i < n; i++) for (auto &j: child[i]) lt_depth[i].insert(max_depth[j] + 1);
    for (int i = 0; i < n; i++) {
        tree_dist[262143 + in[i]] = dist[i];
        tree_edge[262143 + in[i]] = edge[i];
        int v = 0;
        if (!child[i].empty()) lt_depth[i].erase(lt_depth[i].find(max_depth[child[i][0]] + 1));
        if (!lt_depth[i].empty()) v = *lt_depth[i].rbegin();
        if (!child[i].empty()) lt_depth[i].insert(max_depth[child[i][0]] + 1);
        tree_split[262143 + in[i]] = { v + depth[i], v - depth[i], (int)-1e9 };
    }
    for (int i = 262142; i >= 0; i--) {
        tree_dist[i] = max(tree_dist[i * 2 + 1], tree_dist[i * 2 + 2]);
        tree_edge[i] = max(tree_edge[i * 2 + 1], tree_edge[i * 2 + 2]);
        tree_split[i] = f(tree_split[i * 2 + 1], tree_split[i * 2 + 2]);
    }
    int zero = 2 * (n - 1) - dist[0], one = (int)1e9;
    for (int i = 0; i < n; i++) for (auto &j: adj[i]) if (i < j.first) {
        int l = lca(i, j.first);
        int ds = depth[i] + depth[j.first] - depth[l] - depth[l];
        int curr = j.second + 2 * (n - 1) - ds - 1;
        int y = max(rev_dist[l] - 1, query_hld_dist(i, j.first, in[l], in[l] + sz[l] - 1) - 1);
        int A = (i == l ? -1 : pr(i, depth[i] - depth[l] - 1));
        int B = (j.first == l ? -1 : pr(j.first, depth[j.first] - depth[l] - 1));
        int Ap = (depth[i] - depth[l] - 2 >= 0 ? pr(i, depth[i] - depth[l] - 2) : -1);
        int Bp = (depth[j.first] - depth[l] - 2 >= 0 ? pr(j.first, depth[j.first] - depth[l] - 2) : -1);
        if (A != -1) lt_depth[l].erase(lt_depth[l].find(max_depth[A] + 1));
        if (B != -1) lt_depth[l].erase(lt_depth[l].find(max_depth[B] + 1));
        int G = 0;
        if (!lt_depth[l].empty()) G = *lt_depth[l].rbegin();
        if (!lt_depth[l].empty()) y = max(y, *lt_depth[l].rbegin() + rev_max_depth[l] - 1);
        else y = max(y, rev_max_depth[l] - 1);
        if ((int)lt_depth[l].size() > 1) y = max(y, *lt_depth[l].rbegin() + *prev(prev(lt_depth[l].end())) - 1);
        if (A != -1) lt_depth[l].insert(max_depth[A] + 1);
        if (B != -1) lt_depth[l].insert(max_depth[B] + 1);
        if (Ap != -1) y = max(y, query_hld_edge(Ap, i) - 1);
        if (Bp != -1) y = max(y, query_hld_edge(Bp, j.first) - 1);
        int Alt = (A == -1 ? (int)-1e9 : query_hld_half(A, i) + depth[l]);
        int Brt = (B == -1 ? (int)-1e9 : query_hld_half(B, j.first) + depth[l]);
        int Lt = max(rev_dist[l], G);
        y = max(y, Alt + max(Brt, Lt) + 1);
        y = max(y, max(Alt, Lt) + Brt + 1);
        if (A != -1) y = max(y, query_hld_res(A, i) + 1);
        if (B != -1) y = max(y, query_hld_res(B, j.first) + 1);
        curr -= y;
        one = min(one, curr);
    }
    printf("%d", min(zero, one));
}

Compilation message (stderr)

Main.cpp: In function 'int main()':
Main.cpp:237:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  237 |     scanf("%d%d", &n, &m);
      |     ~~~~~^~~~~~~~~~~~~~~~
Main.cpp:240:14: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  240 |         scanf("%d%d%d", &x, &y, &w);
      |         ~~~~~^~~~~~~~~~~~~~~~~~~~~~

• Subtask 1: 1 / 1
• Subtask 2: 2 / 2
• Subtask 3: 2 / 2
• Subtask 4: 0 / 6
• Subtask 5: 0 / 2
• Subtask 6: 0 / 3
• Subtask 7: 0 / 5
• Subtask 8: 0 / 4