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#include <bits/stdc++.h> using namespace std; int n, m, q, l, r; int fa[1100], dis[1100]; struct edge { int x, y, v, pos; friend bool operator<(const edge &r1, const edge &r2) { return r1.v < r2.v; }; } a[1100 * 1100]; int find(int x) { if (fa[x] == x) return x; int t = find(fa[x]); dis[x] += dis[fa[x]]; return fa[x] = t; } int check(int x, int y) { if (find(x) == find(y)) return (dis[x] + dis[y]) & 1; int t = find(x); fa[t] = find(y); dis[t] = 1 - (dis[x] + dis[y]) % 2; return 1; } int main() { scanf("%d%d%d", &n, &m, &q); for (int i = 1; i <= m; i++) { scanf("%d%d%d", &a[i].x, &a[i].y, &a[i].v); a[i].pos = i; } sort(a + 1, a + 1 + m); while (q--) { scanf("%d%d", &l, &r); int flag = 0; for (int i = 1; i <= n; i++) fa[i] = i; memset(dis, 0, sizeof(dis)); for (int i = m; i; i--) if (a[i].pos >= l && a[i].pos <= r) { if (!check(a[i].x, a[i].y)) { printf("%d\n", a[i].v); flag = 1; break; } } if (!flag) puts("-1"); } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1005; int n, m, q, u, v, w, l, r, ans, par[N], col[N], mark[N]; vector<pair<int, pair<int, int> > > yal, edge[N * N]; vector<int> cmp[N]; void add(int x) { for (int i = 0; i < edge[x].size(); i++) yal.push_back(edge[x][i]); } int Get_par(int u) { if (par[u] < 0) return u; return par[u] = Get_par(par[u]); } void query(int l, int r) { r++; for (l += m, r += m; l < r; l >>= 1, r >>= 1) { if (l & 1) add(l++); if (r & 1) add(--r); } } void reset(int x) { cmp[x].clear(); cmp[x].push_back(x); } void merge(int u, int v, int s) { u = Get_par(u), v = Get_par(v); if (par[u] > par[v]) swap(u, v); for (int i = 0; i < cmp[v].size(); i++) cmp[u].push_back(cmp[v][i]), col[cmp[v][i]] ^= s; par[u] += par[v], par[v] = u; } void solve(int x) { vector<pair<int, pair<int, int> > > vec; for (int i = 0; i < edge[x].size(); i++) par[edge[x][i].second.first] = par[edge[x][i].second.second] = -1, reset(edge[x][i].second.first), reset(edge[x][i].second.second); for (int i = 0; i < edge[x].size(); i++) { u = edge[x][i].second.first, v = edge[x][i].second.second; if (Get_par(u) == Get_par(v)) { if (col[u] == col[v]) { vec.push_back(edge[x][i]); break; } } else merge(u, v, col[u] == col[v]), vec.push_back(edge[x][i]); } edge[x].clear(); edge[x] = vec; } void merge_t(int u, int v, int an) { int p1 = 0, p2 = 0; while (p1 < edge[u].size() || p2 < edge[v].size()) { if (p2 == edge[v].size() || (p1 < edge[u].size() && edge[u][p1].first > edge[v][p2].first)) edge[an].push_back(edge[u][p1++]); else edge[an].push_back(edge[v][p2++]); } } void build() { for (int i = m - 1; i >= 1; i--) { merge_t(i * 2, i * 2 + 1, i); solve(i); } } void clear() { ans = -1, yal.clear(); fill(col, col + N, 0); fill(par, par + N, -1); for (int i = 1; i < n + 1; i++) reset(i); } int main() { cin >> n >> m >> q; for (int i = 0; i < m; i++) { scanf("%d%d", &u, &v); ; scanf("%d", &w); ; edge[i + m].push_back(make_pair(w, make_pair(u, v))); } build(); for (int io = 0; io < q; io++) { clear(); scanf("%d%d", &l, &r); ; --l, --r; query(l, r); sort(yal.begin(), yal.end()); reverse(yal.begin(), yal.end()); for (int i = 0; i < yal.size(); i++) { u = yal[i].second.first, v = yal[i].second.second; if (Get_par(u) == Get_par(v)) { if (col[u] == col[v]) { ans = yal[i].first; break; } } else merge(u, v, col[u] == col[v]); } cout << ans << '\n'; } }
#include <bits/stdc++.h> using namespace std; const int maxn = 1005; int n, m, q; pair<pair<int, int>, pair<int, int> > edges[maxn * maxn]; pair<int, int> par[maxn]; pair<int, int> getpar(int a) { if (par[a].first == a) return par[a]; pair<int, int> p = getpar(par[a].first); return par[a] = make_pair(p.first, p.second ^ par[a].second); } int main() { scanf("%d %d %d", &n, &m, &q); for (int i = 0; i < m; i++) { scanf("%d %d %d", &edges[i].second.first, &edges[i].second.second, &edges[i].first.first); edges[i].first.second = i; } sort(edges, edges + m); reverse(edges, edges + m); for (int i = 0; i < q; i++) { int l, r; cin >> l >> r; l--; for (int j = 1; j <= n; j++) par[j] = make_pair(j, 0); bool b = 0; for (int j = 0; j < m; j++) if (l <= edges[j].first.second && edges[j].first.second < r) { pair<int, int> x = getpar(edges[j].second.first), y = getpar(edges[j].second.second); if (x.first == y.first) { if (x.second == y.second) { printf("%d\n", edges[j].first.first); b = 1; break; } } else { par[x.first] = make_pair(y.first, x.second ^ y.second ^ 1); } } if (!b) printf("-1\n"); } }
#include <bits/stdc++.h> using namespace std; const long long MOD = 1e9 + 7; const int INF = 1e9 + 7; const long long INF64 = 1e18; const double EPS = 1e-9; const double PI = acos(-1); const long long MD = 1551513443; const long long T = 25923; const int N = 1000100; const int M = 1001; struct st { int v, u, w, ind; st() { v = u = w = ind = 0; } st(int vv, int uu, int ww, int ii) { v = vv; u = uu; w = ww; ind = ii; } } e[N]; bool operator<(st a, st b) { return a.w < b.w; } int n, m, q, rr[M], b[N]; pair<int, int> p[M]; int main() { cin >> n >> m >> q; for (int i = 0; i < int(m); i++) { int v, u, w; scanf("%d %d %d", &v, &u, &w); e[i] = st(v, u, w, i); } sort(e, e + m); reverse(e, e + m); int ans, v, u, first, second, j; pair<int, int> vv, uu; for (int u1 = 0; u1 < int(q); u1++) { int l, r; scanf("%d %d", &l, &r); l--; r--; ans = -1; for (int i = 0; i < int(M); i++) { p[i] = make_pair(i, 0); rr[i] = 0; } for (int i = 0; i < int(m); i++) if (e[i].ind >= l && e[i].ind <= r) { b[0] = e[i].v; j = -1; for (int ii = 0; b[ii] != p[b[ii]].first; ii++) { j = ii; b[ii + 1] = p[b[ii]].first; } for (int ii = j; ii >= 0; ii--) { p[b[ii]].second ^= p[b[ii + 1]].second; p[b[ii]].first = p[b[ii + 1]].first; } vv = p[b[0]]; b[0] = e[i].u; j = -1; for (int ii = 0; b[ii] != p[b[ii]].first; ii++) { j = ii; b[ii + 1] = p[b[ii]].first; } for (int ii = j; ii >= 0; ii--) { p[b[ii]].second ^= p[b[ii + 1]].second; p[b[ii]].first = p[b[ii + 1]].first; } uu = p[b[0]]; first = vv.second; v = vv.first; second = uu.second; u = uu.first; if (v == u) { if (first == second) { ans = e[i].w; break; } } else { if (rr[u] > rr[v]) swap(v, u); p[u] = make_pair(v, first ^ second ^ 1); if (rr[v] == rr[u]) rr[v]++; } } printf("%d\n", ans); } return 0; }
#include <bits/stdc++.h> #pragma GCC optimize("Ofast") #pragma GCC optimization("unroll-loops, no-stack-protector") #pragma GCC target("avx,avx2,fma") using namespace std; const long long maxn = 1e6 + 530; const long long mod = 998244353; const long long base = 1e9; long long par[maxn][2]; long long find_par(long long u, long long t) { if (par[u][t] < 0) return u; return par[u][t] = find_par(par[u][t], t); } void dsu(long long x, long long y, long long t) { if (x == 0 || y == 0) return; x = find_par(x, t); y = find_par(y, t); if (x == y) return; if (par[x][t] > par[y][t]) swap(x, y); par[x][t] += par[y][t]; par[y][t] = x; } struct tk { long long x, y, w, pos; }; long long nxt[maxn]; tk a[maxn]; bool lf(tk a, tk b) { return a.w > b.w; } int main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); if (fopen("t.inp", "r")) { freopen("test.inp", "r", stdin); freopen("test.out", "w", stdout); } long long n, m, q; cin >> n >> m >> q; for (int i = 1; i <= m; i++) { cin >> a[i].x >> a[i].y >> a[i].w; a[i].pos = i; } sort(a + 1, a + m + 1, lf); while (q--) { long long l, r; cin >> l >> r; for (int i = 1; i <= n; i++) { par[i][0] = -1; par[i][1] = -1; nxt[i] = 0; } long long ans = -1; for (int i = 1; i <= m; i++) { if (a[i].pos > r || a[i].pos < l) continue; long long x = a[i].x; long long y = a[i].y; long long x1 = find_par(x, 0); long long y1 = find_par(y, 0); if (x1 == y1) { x = find_par(x, 1); y = find_par(y, 1); if (x == y) { ans = a[i].w; break; } } else { dsu(x1, y1, 0); dsu(x, nxt[y], 1); dsu(y, nxt[x], 1); nxt[x] = y; nxt[y] = x; } } cout << ans << "\n"; } }
#include <bits/stdc++.h> std::mt19937 engine(42); struct Edge { int from, to, weight, index; Edge() {} Edge(int from, int to, int weight, int index) : from(from), to(to), weight(weight), index(index) {} }; const int max_size = 1000; int parent[max_size * 2 + 1]; int rank[max_size * 2 + 1]; Edge edges[max_size * max_size]; int find_set(int v) { if (v == parent[v]) { return v; } return parent[v] = find_set(parent[v]); } void union_sets(int a, int b) { a = find_set(a); b = find_set(b); if (a == b) { return; } if (rand() % 2) { std::swap(a, b); } parent[b] = a; if (rank[a] == rank[b]) { ++rank[a]; } } int main() { std::ios_base::sync_with_stdio(false); std::cout.tie(NULL); int n, m, q; std::cin >> n >> m >> q; for (int i = 0; i < m; ++i) { int from, to, weight; std::cin >> from >> to >> weight; from--, to--; edges[i] = Edge(from, to, weight, i); } std::sort(edges, edges + m, [](Edge a, Edge b) { return a.weight > b.weight; }); for (int query_index = 0; query_index < q; ++query_index) { int left, right; std::cin >> left >> right; for (int i = 0; i < 2 * n; ++i) { parent[i] = i; rank[i] = 0; } bool flag = false; for (int i = 0; i < m; ++i) { Edge edge = edges[i]; if ((edge.index + 1 < left) || (edge.index >= right)) { continue; } int from = edge.from; int to = edge.to; int anti_from = from + n; int anti_to = to + n; union_sets(from, anti_to); union_sets(to, anti_from); if (find_set(anti_to) == find_set(to)) { flag = true; std::cout << edge.weight << '\n'; break; } } if (!flag) { std::cout << -1 << '\n'; } } return 0; }
#include <bits/stdc++.h> using namespace std; inline long long readint() { long long a = 0; char c = getchar(), f = 1; for (; c < '0' || c > '9'; c = getchar()) if (c == '-') f = -f; for (; '0' <= c && c <= '9'; c = getchar()) a = (a << 3) + (a << 1) + (c ^ 48); return a * f; } template <class T> void getMax(T &a, const T &b) { if (a < b) a = b; } const int MaxM = 1000005; const int MaxN = 1005; int n; namespace UFS { int fa[MaxN], val[MaxN]; void init() { for (int i = 1; i <= n; ++i) fa[i] = i, val[i] = 0; } int find(int a) { if (fa[a] == a) return a; int root = find(fa[a]); val[a] ^= val[fa[a]]; return fa[a] = root; } int combine(int a, int b) { int x = find(a), y = find(b); if (x == y) if (val[a] ^ val[b]) return 1; else return 0; fa[x] = y; val[x] = val[a] ^ val[b] ^ 1; return 2; } }; // namespace UFS struct Edge { int from, to, val; Edge(int F = 0, int T = 0, int V = 0) { from = F, to = T, val = V; } } e[MaxM]; void hebing(vector<int> &v, vector<int> &v1, vector<int> &v2) { int p = 0, len1 = v1.size(); int q = 0, len2 = v2.size(); int len = len1 + len2; v.resize(len); while (p < len1 || q < len2) { if (p < len1 && (q >= len2 || e[v1[p]].val > e[v2[q]].val)) v[p + q] = v1[p], ++p; else v[p + q] = v2[q], ++q; } UFS::init(); int delta = 0; for (int i = 0, llb; i + delta < len; ++i) { v[i] = v[i + delta]; llb = UFS::combine(e[v[i]].from, e[v[i]].to); if (llb == 0) { len = i + 1 + delta; break; } if (llb == 1) ++delta, --i; } v.resize(len -= delta); } int m; vector<int> v[MaxM << 1 | 1]; int __id(int l, int r) { return (l + r) | (l != r); } void build(int l = 1, int r = m) { if (l == r) { v[__id(l, r)].resize(1); v[__id(l, r)][0] = l; return; } int t = (l + r) >> 1; build(l, t), build(t + 1, r); hebing(v[__id(l, r)], v[__id(l, t)], v[__id(t + 1, r)]); } void query(int ql, int qr, vector<int> &res, int l = 1, int r = m) { if (ql <= l && r <= qr) { res = v[__id(l, r)]; return; } int t = (l + r) >> 1; if (qr <= t) return query(ql, qr, res, l, t); if (t < ql) return query(ql, qr, res, t + 1, r); vector<int> tmp[2]; query(ql, qr, tmp[0], l, t); query(ql, qr, tmp[1], t + 1, r); hebing(res, tmp[0], tmp[1]); } vector<int> res; int main() { n = readint(), m = readint(); int q = readint(); for (int i = 1; i <= m; ++i) { e[i].from = readint(); e[i].to = readint(); e[i].val = readint(); } build(); while (q--) { int l = readint(); int r = readint(); query(l, r, res); UFS::init(); bool notAny = true; for (int i = 0, len = res.size(); i < len; ++i) if (UFS::combine(e[res[i]].from, e[res[i]].to) == 0) notAny = false; if (!notAny) printf("%d\n", e[res.back()].val); else printf("-1\n"); } return 0; }
#include <bits/stdc++.h> using namespace std; int const M = 5e5 + 41; int const N = 1e3 + 41; int n, m, q, cost[M], from[M], to[M], par[N], sz[N], color[N]; vector<int> e[N]; pair<int, int> edges[M]; void clear() { for (int i = 0; i < n; ++i) { par[i] = i; e[i].clear(); sz[i] = 1; } } void dfs(int u, int p, int newCol, int newPar) { color[u] = newCol; par[u] = newPar; for (int i = 0; i < e[u].size(); ++i) { int to = e[u][i]; if (to == p) { continue; } dfs(to, u, 1 - newCol, newPar); } } void uni(int a, int b) { if (sz[b] > sz[a]) { swap(a, b); } sz[a] += sz[b]; dfs(b, b, 1 - color[a], par[a]); } int solve(int li, int ri) { clear(); int a, b; for (int i = m - 1; i >= 0; --i) { if (edges[i].second >= li && edges[i].second <= ri) { a = from[edges[i].second]; b = to[edges[i].second]; if (par[a] == par[b]) { if (color[a] == color[b]) { return edges[i].first; } } else { uni(a, b); e[a].push_back(b); e[b].push_back(a); } } } return -1; } int main() { scanf("%d%d%d", &n, &m, &q); for (int i = 0; i < m; ++i) { int f, s, c; scanf("%d%d%d", &f, &s, &c); --f; --s; from[i] = f; to[i] = s; cost[i] = c; edges[i] = make_pair(c, i); } sort(edges, edges + m); for (int i = 0; i < q; ++i) { int li, ri; scanf("%d%d", &li, &ri); --li; --ri; printf("%d\n", solve(li, ri)); } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 2e3 + 5; const int M = 1e6 + 5; struct DSU { int fa[N]; int find(int x) { return (x == fa[x]) ? x : (fa[x] = find(fa[x])); } void init(int n) { for (int i = 0; i <= n; i++) fa[i] = i; } void joint(int u, int v) { u = find(u), v = find(v); if (u != v) fa[u] = v; } bool same(int u, int v) { return find(u) == find(v); } }; struct Edge { int id, u, v, w; bool operator<(const Edge &o) const { return w > o.w; } }; int n, m, q, l, r, u, v; DSU dsu; Edge e[M]; int solve() { dsu.init(2 * n); scanf("%d%d", &l, &r); for (int i = 0; i < m; i++) { if (e[i].id < l || e[i].id > r) continue; u = e[i].u, v = e[i].v; if (dsu.same(u, v)) { return e[i].w; } else { dsu.joint(u, v + n); dsu.joint(v, u + n); } } return -1; } int main() { while (scanf("%d%d%d", &n, &m, &q) == 3) { for (int i = 0; i < m; i++) { scanf("%d%d%d", &e[i].u, &e[i].v, &e[i].w); e[i].id = i + 1; } sort(e, e + m); for (int i = 0; i < q; i++) { printf("%d\n", solve()); } } return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; int const nmax = 1000; int const edgemax = nmax * (nmax - 1) / 2; struct Edge { int x; int y; int cost; bool operator<(Edge const &a) const { return cost < a.cost; } } v[1 + edgemax]; namespace Dsu { vector<int> mult; vector<int> sz; vector<int> cost; void initialize(int n) { mult.resize(1 + n); sz.resize(1 + n); cost.resize(1 + n); for (int i = 1; i <= n; i++) mult[i] = i; for (int i = 1; i <= n; i++) sz[i] = 1; for (int i = 1; i <= n; i++) cost[i] = 0; } int jump(int gala) { if (gala != mult[gala]) { int parent = mult[gala]; mult[gala] = jump(mult[gala]); cost[gala] = cost[gala] ^ cost[parent]; } return mult[gala]; } int unite(int gala, int galb) { jump(gala); jump(galb); if (mult[gala] == mult[galb]) { if ((cost[gala] ^ cost[galb]) == 0) return -1; else return 0; } else { int off = cost[gala] ^ cost[galb]; gala = jump(gala); galb = jump(galb); if (sz[galb] < sz[gala]) swap(gala, galb); mult[gala] = galb; cost[gala] = 1 ^ off; sz[galb] += sz[gala]; return 1; } } void cleartaint(vector<Edge> edges) { for (int i = 0; i < edges.size(); i++) { int x = edges[i].x; int y = edges[i].y; mult[x] = x; mult[y] = y; sz[x] = sz[y] = 1; cost[x] = cost[y] = 0; } } } // namespace Dsu int n; class SegmentTree { private: struct Node { vector<Edge> edges; Node operator+(Node a) { Node result; merge(edges.begin(), edges.end(), a.edges.begin(), a.edges.end(), back_inserter(result.edges)); vector<Edge> real; Dsu::cleartaint(result.edges); for (int i = result.edges.size() - 1; 0 <= i; i--) { Edge e = result.edges[i]; int verdict = Dsu::unite(e.x, e.y); if (0 != verdict) real.push_back(e); if (verdict == -1) break; } reverse(real.begin(), real.end()); result.edges = real; return result; } }; vector<Node> aint; public: SegmentTree(int n_) { aint.resize(1 + 4 * n_); } void build(int node, int from, int to) { if (from < to) { int mid = (from + to) / 2; build(node * 2, from, mid); build(node * 2 + 1, mid + 1, to); aint[node] = aint[node * 2] + aint[node * 2 + 1]; } else aint[node].edges.push_back(v[from]); } Node _query(int node, int from, int to, int x, int y) { if (from == x && to == y) return aint[node]; else { int mid = (from + to) / 2; if (x <= mid && y <= mid) return _query(node * 2, from, mid, x, y); else if (mid + 1 <= x && mid + 1 <= y) return _query(node * 2 + 1, mid + 1, to, x, y); else return _query(node * 2, from, mid, x, mid) + _query(node * 2 + 1, mid + 1, to, mid + 1, y); } } int query(int node, int from, int to, int x, int y) { Node result = _query(node, from, to, x, y); Dsu::cleartaint(result.edges); for (int i = result.edges.size() - 1; 0 <= i; i--) { Edge e = result.edges[i]; if (Dsu::unite(e.x, e.y) == -1) return e.cost; } return -1; } }; int main() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); int m, q; cin >> n >> m >> q; for (int i = 1; i <= m; i++) cin >> v[i].x >> v[i].y >> v[i].cost; Dsu::initialize(n); SegmentTree aint(m); aint.build(1, 1, m); for (int i = 1; i <= q; i++) { int x, y; cin >> x >> y; cout << aint.query(1, 1, m, x, y) << '\n'; } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1005; const int M = N * (N - 1) / 2; struct Edge { int u, v, w; }; struct Node { vector<Edge> e; int ans = -1; }; int p[N], vis[N], pass, change[N], sz[N]; int f(int u) { return u == p[u] ? u : f(p[u]); } int get(int u) { return u == p[u] ? 0 : change[u] ^ get(p[u]); } int n, m, q; Node merge(const Node &a, const Node &b) { Node ans; ans.ans = max(a.ans, b.ans); pass++; auto init = [](int u) { vis[u] = pass; p[u] = u; sz[u] = 1; change[u] = 0; }; bool over = false; auto add = [&](Edge e) { if (over) return; if (vis[e.u] != pass) init(e.u); if (vis[e.v] != pass) init(e.v); int valu = get(e.u), valv = get(e.v); int u = f(e.u), v = f(e.v); if (u == v and valu == valv) { over = true; ans.ans = max(ans.ans, e.w); return; } if (u != v) { ans.e.push_back(e); if (sz[u] < sz[v]) swap(u, v); p[v] = u; sz[u] += sz[v]; if (valu == valv) change[v] ^= 1; } }; size_t i = 0, j = 0; while (!over and i < a.e.size() and j < b.e.size()) { if (a.e[i].w > b.e[j].w) { add(a.e[i++]); } else { add(b.e[j++]); } } while (!over and i < a.e.size()) add(a.e[i++]); while (!over and j < b.e.size()) add(b.e[j++]); return ans; } Node st[2 * M]; Node query(int l, int r) { Node ans; for (l += m, r += m; l < r; l >>= 1, r >>= 1) { if (l & 1) ans = merge(ans, st[l++]); if (r & 1) ans = merge(ans, st[--r]); } return ans; } int main() { scanf("%d %d %d", &n, &m, &q); for (int i = 0; i < m; i++) { Edge e; scanf("%d %d %d", &e.u, &e.v, &e.w); st[i + m].e.push_back(e); } for (int i = m - 1; i > 0; i--) { st[i] = merge(st[2 * i], st[2 * i + 1]); } while (q--) { int l, r; scanf("%d %d", &l, &r); printf("%d\n", query(l - 1, r).ans); } }
#include <bits/stdc++.h> using namespace std; template <typename T> inline bool upmin(T &x, T y) { return y < x ? x = y, 1 : 0; } template <typename T> inline bool upmax(T &x, T y) { return x < y ? x = y, 1 : 0; } const long double eps = 1e-11; const long double pi = acos(-1); const int oo = 1 << 30; const long long loo = 1ll << 62; const int mods = 1e9 + 7; const int MAXN = 1000005; const int INF = 0x3f3f3f3f; inline int read() { int f = 1, x = 0; char c = getchar(); while (c < '0' || c > '9') { if (c == '-') f = -1; c = getchar(); } while (c >= '0' && c <= '9') { x = (x << 3) + (x << 1) + (c ^ 48); c = getchar(); } return x * f; } int f[MAXN], num[MAXN]; struct enode { int u, v, c, id; } e[MAXN]; int find(int x) { return f[x] == x ? f[x] : f[x] = find(f[x]); } signed main() { int n = read(), m = read(), q = read(); for (int i = 1; i <= m; i++) { int u = read(), v = read(), c = read(); e[i] = (enode){u, v, c, i}; } sort(e + 1, e + m + 1, [&](enode x, enode y) { return x.c > y.c; }); while (q--) { int l = read(), r = read(), flag = 0; for (int i = 1; i <= n << 1; i++) f[i] = i, num[i] = 1; for (int i = 1; i <= m; i++) if (e[i].id >= l && e[i].id <= r) { int x = find(e[i].u), y = find(e[i].v), xx = find(e[i].u + n), yy = find(e[i].v + n); if (x == y || xx == yy) { printf("%d\n", e[i].c); flag = 1; break; } if (num[xx] > num[y]) f[y] = xx, num[xx] += num[y]; else f[xx] = y, num[y] += num[xx]; if (num[yy] > num[x]) f[x] = yy, num[yy] += num[x]; else f[yy] = x, num[x] += num[yy]; } if (!flag) puts("-1"); } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 5e5 + 5; int fa[N], relation[N]; struct Edge { int u, v, w, id; bool operator<(const Edge &rhs) const { return w > rhs.w; } } p[N]; int find(int x) { if (x == fa[x]) return x; int fx = find(fa[x]); relation[x] ^= relation[fa[x]]; return fa[x] = fx; } bool Union(int u, int v) { int fx = find(u), fy = find(v); if (fx == fy) { if (relation[u] == relation[v]) return false; return true; } fa[fx] = fy; relation[fx] = relation[u] ^ relation[v] ^ 1; return true; } int main() { int n, m, q; scanf("%d%d%d", &n, &m, &q); for (int i = 1; i <= m; ++i) { scanf("%d%d%d", &p[i].u, &p[i].v, &p[i].w); p[i].id = i; } sort(p + 1, p + 1 + m); while (q--) { int l, r, ret = -1; scanf("%d%d", &l, &r); for (int i = 1; i <= n; ++i) fa[i] = i, relation[i] = 0; for (int i = 1; i <= m; ++i) { if (p[i].id < l || p[i].id > r) continue; if (!Union(p[i].u, p[i].v)) { ret = p[i].w; break; } } printf("%d\n", ret); } return 0; }
#include <bits/stdc++.h> using namespace std; struct edge { int u, v, w, idx; inline bool operator<(const edge &a) const { return w > a.w; } } arr[1000005]; int fa[1005], col[1005]; int getfa(int u) { if (u == fa[u]) return u; int res = getfa(fa[u]); col[u] ^= col[fa[u]]; fa[u] = res; return res; } inline bool same(int u, int v) { return getfa(u) == getfa(v) && col[u] == col[v]; } inline void unite(int u, int v) { int x = getfa(u), y = getfa(v); if (x != y) { col[x] = col[u] ^ col[v] ^ 1; fa[x] = y; } } int main() { int n, m, q; scanf("%d%d%d", &n, &m, &q); for (int i = 0; i < m; i++) { scanf("%d%d%d", &arr[i].u, &arr[i].v, &arr[i].w); arr[i].idx = i; arr[i].u--; arr[i].v--; } sort(arr, arr + m); while (q--) { int l, r; scanf("%d%d", &l, &r); l--; for (int i = 0; i < n; i++) { fa[i] = i; col[i] = 0; } bool f = false; for (int i = 0; i < m && !f; i++) { if (arr[i].idx < l || arr[i].idx >= r) continue; if (same(arr[i].u, arr[i].v)) { printf("%d\n", arr[i].w); f = true; } unite(arr[i].u, arr[i].v); } if (!f) printf("-1\n"); } return 0; }
#include <bits/stdc++.h> #pragma GCC optimize("Ofast") #pragma GCC optimization("unroll-loops, no-stack-protector") #pragma GCC target("avx,avx2,fma") using namespace std; const int maxn = 1e6 + 530; const int mod = 998244353; const int base = 1e9; int par[maxn][2]; int find_par(int u, int t) { if (par[u][t] < 0) return u; return par[u][t] = find_par(par[u][t], t); } void dsu(int x, int y, int t) { if (x == 0 || y == 0) return; x = find_par(x, t); y = find_par(y, t); if (x == y) return; if (par[x][t] > par[y][t]) swap(x, y); par[x][t] += par[y][t]; par[y][t] = x; } struct tk { int x, y, w, pos; }; int nxt[maxn]; tk a[maxn]; bool lf(tk a, tk b) { return a.w > b.w; } int main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); if (fopen("t.inp", "r")) { freopen("test.inp", "r", stdin); freopen("test.out", "w", stdout); } int n, m, q; cin >> n >> m >> q; for (int i = 1; i <= m; i++) { cin >> a[i].x >> a[i].y >> a[i].w; a[i].pos = i; } sort(a + 1, a + m + 1, lf); while (q--) { int l, r; cin >> l >> r; for (int i = 1; i <= n; i++) { par[i][0] = -1; par[i][1] = -1; nxt[i] = 0; } int ans = -1; for (int i = 1; i <= m; i++) { if (a[i].pos > r || a[i].pos < l) continue; int x = a[i].x; int y = a[i].y; int x1 = find_par(x, 0); int y1 = find_par(y, 0); if (x1 == y1) { x = find_par(x, 1); y = find_par(y, 1); if (x == y) { ans = a[i].w; break; } } else { dsu(x1, y1, 0); dsu(x, nxt[y], 1); dsu(y, nxt[x], 1); nxt[x] = y; nxt[y] = x; } } cout << ans << "\n"; } }
#include <bits/stdc++.h> using namespace std; struct Edge { int u, v, w; int id; bool operator<(const Edge& o) const { return w > o.w; } } edges[500000]; int n, m, q; int r[1111]; int p[1111]; bool vis[1111]; void init() { memset(vis, 0, sizeof(vis)); for (int i = 1; i <= n; i++) { p[i] = i; r[i] = 0; } } pair<int, int> Find(int u) { if (u == p[u]) { return make_pair(u, 0); } pair<int, int> pp = Find(p[u]); r[u] = r[p[u]] ^ r[u]; p[u] = pp.first; return make_pair(p[u], r[u]); } void Union(int u, int v, int relation) { pair<int, int> fu = Find(u); pair<int, int> fv = Find(v); p[fu.first] = fv.first; r[fu.first] = relation ^ r[u] ^ r[v]; } int Relation(int u, int v) { return r[u] ^ r[v]; } int main() { cin >> n >> m >> q; for (int i = 1; i <= m; i++) { scanf("%d %d %d", &edges[i].u, &edges[i].v, &edges[i].w); edges[i].id = i; } sort(edges + 1, edges + m + 1); for (int i = 1; i <= q; i++) { int ans = -1; int l, r; scanf("%d %d", &l, &r); init(); for (int j = 1; j <= m; j++) { if (edges[j].id < l || edges[j].id > r) { continue; } int u = edges[j].u; int v = edges[j].v; if (vis[u] && vis[v]) { if (Find(u).first != Find(v).first) { Union(u, v, 1); } else { if (Relation(u, v) == 0) { ans = edges[j].w; break; } } } else if (vis[u] && !vis[v]) { Union(v, u, 1); vis[v] = 1; } else if (!vis[u] && vis[v]) { Union(u, v, 1); vis[u] = 1; } else { Union(u, v, 1); vis[u] = vis[v] = 1; } } printf("%d\n", ans); } return 0; }
#include <bits/stdc++.h> using namespace std; struct iii { int first, second, T; }; struct DS { vector<int> p, c, r; int n; DS(int n) : n(n), p(n), c(n), r(n) { clear(); } void clear() { for (int i = 0; i < n; i++) p[i] = i, c[i] = 1, r[i] = 0; } pair<int, int> SetOf(int x) { int y = 0; while (p[x] != x) { y += r[x]; x = p[x]; } return {x, y % 2}; } int Merge(int x, int y) { pair<int, int> tx = SetOf(x); pair<int, int> ty = SetOf(y); if (tx.first == ty.first) { if (tx.second != ty.second) return 2; else return 1; } if (c[tx.first] > c[ty.first]) swap(tx, ty); r[tx.first] = (tx.second + ty.second + 1) % 2; p[tx.first] = ty.first; c[ty.first] += c[tx.first]; return 0; } }; struct segment_tree { vector<vector<iii>> st; DS ds; int n; segment_tree(int n, int m, vector<iii> &e) : n(n), st(2 * n), ds(m) { build(0, n, e); } inline int id(int b, int e) { return (b + e - 1) | (b != e - 1); } void build(int l, int r, vector<iii> &e) { int cur = id(l, r); vector<iii> t; for (int i = l; i < r; i++) t.push_back(e[i]); sort(t.begin(), t.end(), [](iii x, iii y) { return x.T > y.T; }); ds.clear(); for (auto i : t) { int x = ds.Merge(i.first, i.second); if (x <= 1) st[cur].push_back(i); if (x == 1) break; } if (l + 1 == r) return; int mid = (l + r + 1) >> 1; build(l, mid, e); build(mid, r, e); } vector<iii> query(int l, int r, int li, int ri) { int cur = id(l, r); if (l >= ri || r <= li) return {}; if (li <= l && r <= ri) return st[cur]; int mid = (l + r + 1) >> 1; vector<iii> ret; for (auto i : query(l, mid, li, ri)) ret.push_back(i); for (auto i : query(mid, r, li, ri)) ret.push_back(i); return ret; } }; int main() { ios_base::sync_with_stdio(0); cin.tie(0); int n, m, q; cin >> n >> m >> q; vector<iii> e(m); for (auto &i : e) cin >> i.first >> i.second >> i.T, --i.first, --i.second; DS ds(n); segment_tree st(m, n, e); while (q--) { int l, r; cin >> l >> r; --l; auto t = st.query(0, m, l, r); sort(t.begin(), t.end(), [](iii x, iii y) { return x.T > y.T; }); int ans = -1; for (auto i : t) if (ds.Merge(i.first, i.second) == 1) { ans = i.T; break; } cout << ans << '\n'; ds.clear(); } return 0; }
#include <bits/stdc++.h> using namespace std; struct edge { int u, v, w, id; bool operator<(const edge& q) const { return w > q.w; } } a[1001000]; int f[1010]; int e[1010]; int find(int a) { if (f[a] == a) return a; int fa = find(f[a]); e[a] = (e[a] + e[f[a]]) & 1; return f[a] = fa; } int main() { int n, q, m; scanf("%d%d%d", &n, &m, &q); for (int i = 0; i < m; i++) { scanf("%d%d%d", &a[i].u, &a[i].v, &a[i].w); a[i].id = i + 1; } sort(a, a + m); while (q--) { for (int i = 0; i < 1010; i++) f[i] = i, e[i] = 0; int l, r, ans = -1; scanf("%d%d", &l, &r); for (int i = 0; i < m; i++) { if (a[i].id >= l && a[i].id <= r) { int u = a[i].u, v = a[i].v; int fu = find(u), fv = find(v); if (fu == fv && (e[u] + e[v]) % 2 == 0) { ans = a[i].w; break; } if (fu != fv) { f[fu] = fv; e[fu] = (e[u] + e[v] + 1) & 1; } } } printf("%d\n", ans); } }
#include <bits/stdc++.h> using namespace std; const int MAX = 500010; int aa[MAX], bb[MAX], cc[MAX]; int id[MAX]; int a[MAX], b[MAX], c[MAX]; inline bool cmp(int x, int y) { return cc[x] > cc[y]; } const int N = 1010; int color[N], comp[N], nc[N]; int nv[N][N]; int main() { int n, m, q; scanf("%d %d %d", &n, &m, &q); for (int i = 0; i < m; i++) { scanf("%d %d %d", aa + i, bb + i, cc + i); aa[i]--; bb[i]--; id[i] = i; } sort(id, id + m, cmp); for (int i = 0; i < m; i++) { a[i] = aa[id[i]]; b[i] = bb[id[i]]; c[i] = cc[id[i]]; } while (q--) { int from, to; scanf("%d %d", &from, &to); for (int i = 0; i < n; i++) { color[i] = 0; comp[i] = i; nc[i] = 1; nv[i][0] = i; } from--; to--; int ans = -1; for (int i = 0; i < m; i++) { if (id[i] < from || id[i] > to) { continue; } if (comp[a[i]] == comp[b[i]]) { if (color[a[i]] == color[b[i]]) { ans = c[i]; break; } } else { int x = comp[a[i]]; int y = comp[b[i]]; if (nc[x] < nc[y]) { swap(x, y); } int inv = (color[a[i]] == color[b[i]]); for (int j = 0; j < nc[y]; j++) { int ver = nv[y][j]; comp[ver] = x; color[ver] ^= inv; nv[x][nc[x]++] = ver; } } } printf("%d\n", ans); } return 0; }
#include <bits/stdc++.h> int inp() { char c = getchar(); while (c < '0' || c > '9') c = getchar(); int sum = 0; while (c >= '0' && c <= '9') { sum = sum * 10 + c - '0'; c = getchar(); } return sum; } struct Node { int u; int v; int w; int id; } s[1000010]; int fa[2010]; int find(int x) { return fa[x] == x ? x : fa[x] = find(fa[x]); } bool merge(int a, int b) { a = find(a); b = find(b); if (a == b) return false; fa[a] = b; return true; } bool cmp(Node a, Node b) { return a.w > b.w; } int main() { int n = inp(); int m = inp(); int q = inp(); for (int i = 1; i <= m; i++) { s[i].u = inp(); s[i].v = inp(); s[i].w = inp(); s[i].id = i; } std::sort(s + 1, s + m + 1, cmp); while (q--) { int l = inp(); int r = inp(); for (int i = 1; i <= (n << 1); i++) fa[i] = i; bool flg = false; for (int i = 1; i <= m; i++) if (l <= s[i].id && s[i].id <= r) { if (find(s[i].u) == find(s[i].v)) { flg = true; printf("%d\n", s[i].w); break; } merge(s[i].u, s[i].v + n); merge(s[i].u + n, s[i].v); } if (!flg) printf("-1\n"); } }
#include <bits/stdc++.h> using LL = long long; const int N = 1000 + 5; int dsu[N << 1]; int n, m, nq; int find(int x) { return dsu[x] == x ? x : dsu[x] = find(dsu[x]); } struct Edge { int u, v, w, id; }; int main() { scanf("%d%d%d", &n, &m, &nq); std::vector<Edge> es; for (int i = 0; i < m; ++i) { int a, b, w; scanf("%d%d%d", &a, &b, &w); a--; b--; es.push_back(Edge{a, b, w, i}); } std::sort((es).begin(), (es).end(), [](const Edge &a, const Edge &b) { return a.w > b.w; }); for (int i = 0; i < nq; ++i) { int l, r; scanf("%d%d", &l, &r); l--; r--; std::iota(dsu, dsu + n + n, 0); int result = -1; for (int i = 0; i < m; ++i) { Edge &e = es[i]; if (e.id < l || e.id > r) continue; if (find(e.u << 1) == find(e.v << 1)) { result = e.w; break; } dsu[find(e.u << 1)] = find(e.v << 1 | 1); dsu[find(e.u << 1 | 1)] = find(e.v << 1); } printf("%d\n", result); } }
#include <bits/stdc++.h> int n, m, q; int u[(1 << 20)], v[(1 << 20)], w[(1 << 20)]; std::vector<int> edges[(1 << 20) << 1]; int ans; int C[(1010)], dsu[(1010)], sz[(1010)]; int find(int x) { if (x == dsu[x]) return x; int p = find(dsu[x]); C[x] ^= C[dsu[x]]; return dsu[x] = p; } bool union_set(int a, int b) { int x = find(a), y = find(b); if (x == y) return false; if (sz[x] > sz[y]) std::swap(x, y), std::swap(a, b); int p = (C[a] == C[b]); C[x] ^= p; sz[y] += sz[x]; dsu[x] = y; find(a); find(b); return true; } std::vector<int> merge(std::vector<int> &A, std::vector<int> &B) { int i = 0, j = 0; std::vector<int> tmp; while (i < A.size() && j < B.size()) { tmp.push_back(w[A[i]] > w[B[j]] ? A[i++] : B[j++]); } while (i < A.size()) tmp.push_back(A[i++]); while (j < B.size()) tmp.push_back(B[j++]); std::vector<int> rt; ans = -1; for (auto e : tmp) { C[u[e]] = C[v[e]] = 0; dsu[u[e]] = u[e]; dsu[v[e]] = v[e]; sz[u[e]] = sz[v[e]] = 1; } for (auto e : tmp) { if (union_set(u[e], v[e])) rt.push_back(e); else if (ans == -1 && C[u[e]] == C[v[e]]) ans = w[e], rt.push_back(e); } return rt; } void build() { for (int i = ((1 << 20) << 1) - 1; i; --i) { if (i >= (1 << 20)) { if ((1 << 20) + m - 1 >= i) { edges[i].push_back(i - (1 << 20) + 1); } } else { edges[i] = merge(edges[i << 1], edges[(i << 1) + 1]); } } } int query(int l, int r) { l += (1 << 20) - 1; r += (1 << 20); std::vector<int> es; for (; l < r; l >>= 1, r >>= 1) { if (l % 2) es = merge(es, edges[l++]); if (r % 2) es = merge(es, edges[r - 1]); } printf("\n"); return ans; } int main() { scanf("%d%d%d", &n, &m, &q); for (int i = 1; i <= m; ++i) { scanf("%d%d%d", u + i, v + i, w + i); } build(); for (int i = 1; i <= q; ++i) { int l, r; scanf("%d%d", &l, &r); printf("%d\n", query(l, r)); } return 0; }
#include <bits/stdc++.h> #pragma warning(disable : 4996) using namespace std; int IT_MAX = 1 << 17; const long long MOD = 1000000007; const int INF = 1034567890; const long long LL_INF = 1234567890123456789ll; const double PI = acos(-1); const long double ERR = 1E-10; int r[1050][2]; int root(int x) { if (r[x][0] == x) return r[x][0]; int t = r[x][0]; r[x][0] = root(r[x][0]); r[x][1] ^= r[t][1]; return r[x][0]; } pair<pair<int, int>, pair<int, int> > in[500050]; int main() { int N, Q, M, i, j, t1, t2, t3, S, E; scanf("%d %d %d", &N, &M, &Q); for (i = 1; i <= M; i++) { scanf("%d %d %d", &t1, &t2, &t3); in[i] = make_pair(pair<int, int>(t3, i), pair<int, int>(t1, t2)); } sort(in + 1, in + M + 1); while (Q--) { scanf("%d %d", &S, &E); for (i = 1; i <= N; i++) r[i][0] = i, r[i][1] = 0; for (i = M; i >= 1; i--) { if (in[i].first.second < S || in[i].first.second > E) continue; t1 = in[i].second.first; t2 = in[i].second.second; int u1 = root(t1); int u2 = root(t2); int u3 = r[t1][1] ^ r[t2][1] ^ 1; if (u1 == u2 && u3 == 1) break; r[u1][0] = u2; r[u1][1] = u3; } if (i == 0) printf("-1\n"); else printf("%d\n", in[i].first.first); } return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 1005; struct Edge { int u, v, w, id; Edge() {} Edge(int a, int b, int c, int d) : u(a), v(b), w(c), id(d) {} bool operator<(const Edge e) const { return w > e.w; } } e[maxn * maxn]; int fa[maxn << 1]; int Find(int x) { return fa[x] == x ? fa[x] : (fa[x] = Find(fa[x])); } void Merge(int a, int b) { int x = Find(a); int y = Find(b); fa[x] = y; } int main() { int n, m, q; while (scanf("%d%d%d", &n, &m, &q) != EOF) { int u, v, w; for (int i = 0; i < m; i++) { scanf("%d %d %d", &u, &v, &w); e[i] = Edge(u, v, w, i + 1); } sort(e, e + m); while (q--) { int flag = 0; for (int i = 1; i <= 2 * n; i++) fa[i] = i; scanf("%d%d", &u, &v); for (int i = 0; i < m; i++) { if (e[i].id < u || e[i].id > v) continue; if (Find(e[i].u) == Find(e[i].v)) { printf("%d\n", e[i].w); flag = 1; break; } else { Merge(e[i].u, e[i].v + n); Merge(e[i].v, e[i].u + n); } } if (!flag) printf("-1\n"); } } return 0; }
#include <bits/stdc++.h> using namespace std; inline long long getint() { long long _x = 0, _tmp = 1; char _tc = getchar(); while ((_tc < '0' || _tc > '9') && _tc != '-') _tc = getchar(); if (_tc == '-') _tc = getchar(), _tmp = -1; while (_tc >= '0' && _tc <= '9') _x *= 10, _x += (_tc - '0'), _tc = getchar(); return _x * _tmp; } inline long long add(long long _x, long long _y, long long _mod = 1000000007ll) { long long _ = _x + _y; if (_ >= _mod) _ -= _mod; return _; } inline long long sub(long long _x, long long _y, long long _mod = 1000000007ll) { long long _ = _x - _y; if (_ < 0) _ += _mod; return _; } inline long long mul(long long _x, long long _y, long long _mod = 1000000007ll) { long long _ = _x * _y; if (_ >= _mod) _ %= _mod; return _; } long long mypow(long long _a, long long _x, long long _mod) { if (_x == 0) return 1ll; long long _tmp = mypow(_a, _x / 2, _mod); _tmp = mul(_tmp, _tmp, _mod); if (_x & 1) _tmp = mul(_tmp, _a, _mod); return _tmp; } long long mymul(long long _a, long long _x, long long _mod) { if (_x == 0) return 0ll; long long _tmp = mymul(_a, _x / 2, _mod); _tmp = add(_tmp, _tmp, _mod); if (_x & 1) _tmp = add(_tmp, _a, _mod); return _tmp; } inline bool equal(double _x, double _y) { return _x > _y - 1e-9 && _x < _y + 1e-9; } int __ = 1, _cs; void build() {} int n, m, q, p[1021 * 2]; int find_p(int x) { return x == p[x] ? x : p[x] = find_p(p[x]); } void Union(int x, int y) { p[find_p(x)] = find_p(y); } vector<pair<pair<int, int>, pair<int, int> > > v; void init() { n = getint(); m = getint(); q = getint(); for (int i = 1; i <= m; i++) { int ui = getint(); int vi = getint(); int wi = getint(); v.push_back({{wi, i}, {ui, vi}}); } sort((v).begin(), (v).end()); reverse((v).begin(), (v).end()); } void solve() { while (q--) { int li = getint(); int ri = getint(); int ans = -1; for (int i = 1; i <= n + n; i++) p[i] = i; for (size_t i = 0; i < v.size(); i++) { if (v[i].first.second < li || v[i].first.second > ri) continue; int ui = v[i].second.first, vi = v[i].second.second; if (find_p(ui) == find_p(vi)) { ans = v[i].first.first; break; } Union(ui, vi + n); Union(vi, ui + n); } printf("%d\n", ans); } } int main() { build(); while (__--) { init(); solve(); } }
#include <bits/stdc++.h> using namespace std; const int N = 1011, M = N * N / 2; const int inf = 0x3f3f3f3f; struct Edg { int u, v, w, id; void read() { scanf("%d%d%d", &u, &v, &w); } bool operator<(const Edg& t) const { return w > t.w; } } e[M]; int n, m; int f[N], g[N]; inline int fa(int i) { static int j; return f[i] == i ? i : (j = fa(f[i]), g[i] ^= g[f[i]], f[i] = j); } int Solve(int l, int r) { for (int i = 0; i <= n; ++i) { f[i] = i; g[i] = 0; } for (int i = 1; i <= m; ++i) { Edg& x = e[i]; if (x.id > r || x.id < l) continue; int u = fa(x.u), v = fa(x.v); ; if (u == v) { if (g[x.u] == g[x.v]) { return x.w; } } else { f[v] = u, g[v] = g[x.u] ^ g[x.v] ^ 1; } }; return -1; } int main() { int T; scanf("%d%d%d", &n, &m, &T); for (int i = 1; i <= m; ++i) { e[i].read(); e[i].id = i; } sort(e + 1, e + m + 1); for (; T--;) { int l, r; scanf("%d%d", &l, &r); printf("%d\n", Solve(l, r)); } }
#include <bits/stdc++.h> using namespace std; inline long long Rd() { long long x = 0; int ch = getchar(), f = 1; while (!isdigit(ch) && (ch != '-') && (ch != EOF)) ch = getchar(); if (ch == '-') { f = -1; ch = getchar(); } while (isdigit(ch)) { x = (x << 1) + (x << 3) + ch - '0'; ch = getchar(); } return x * f; } inline void Rt(long long x) { if (x < 0) putchar('-'), x = -x; if (x >= 10) Rt(x / 10), putchar(x % 10 + '0'); else putchar(x + '0'); } const int N = 1005, M = 500005; struct Edge { int u, v, w, id; bool operator<(const Edge& x) const { return w > x.w; } } E[M]; int n, m, q, Fa[N], Val[N], Dep[N]; int Find(int x) { if (x == Fa[x]) return x; int F = Find(Fa[x]); Val[x] = Val[x] ^ Val[Fa[x]]; return Fa[x] = F; } int main() { n = Rd(), m = Rd(), q = Rd(); for (int i = 1; i <= (int)m; i++) E[i].u = Rd(), E[i].v = Rd(), E[i].w = Rd(), E[i].id = i; sort(E + 1, E + m + 1); while (q--) { int l = Rd(), r = Rd(); for (int i = 1; i <= (int)n; i++) Fa[i] = i, Val[i] = 0, Dep[i] = 1; int sign = 0; for (int i = 1; i <= (int)m; i++) { if (E[i].id > r || E[i].id < l) continue; int Fu = Find(E[i].u), Fv = Find(E[i].v); if (Fu != Fv) { if (Dep[Fu] < Dep[Fv]) swap(Fu, Fv); Fa[Fv] = Fu; if (Dep[Fv] == Dep[Fu]) Dep[Fu]++; Val[Fv] = Val[E[i].v] ^ Val[E[i].u] ^ 1; } else { if (Val[E[i].u] == Val[E[i].v]) { Rt(E[i].w), putchar('\n'); sign = 1; break; } } } if (!sign) puts("-1"); } }
#include <bits/stdc++.h> using namespace std; struct unionFind { vector<int> u; vector<int> us; vector<int> ucol; unionFind(int n) : u(n + 1), us(n + 1), ucol(n + 1) { for (int i = 1; i <= n; i++) { u[i] = i; us[i] = 1; ucol[i] = 0; } } int get(int x) { if (x == u[x]) return x; int res = get(u[x]); ucol[x] ^= ucol[u[x]]; u[x] = res; return u[x]; } void un(int a0, int b0) { int a = get(a0); int b = get(b0); if (a != b) { if (us[a] < us[b]) { swap(a, b); } us[a] += us[b]; u[b] = a; ucol[b] = ucol[a0] ^ ucol[b0] ^ 1; } } }; int main() { int n, m, q; scanf("%d %d %d", &n, &m, &q); vector<pair<int, int>> w(m); vector<pair<int, int>> e(m); for (int i = 0; i < m; ++i) { scanf("%d %d %d", &e[i].first, &e[i].second, &w[i].first); e[i].first--; e[i].second--; w[i].second = i; } sort(w.begin(), w.end(), greater<pair<int, int>>()); for (int qi = 0; qi < q; ++qi) { int l, r; scanf("%d %d", &l, &r); l--; unionFind u(n); bool found = false; for (auto x : w) { if (x.second < l || x.second >= r) continue; int a = e[x.second].first, b = e[x.second].second; int ra = u.get(a + 1); int rb = u.get(b + 1); if (ra != rb) { u.un(a + 1, b + 1); } else { if ((u.ucol[ra] ^ u.ucol[a + 1]) == (u.ucol[rb] ^ u.ucol[b + 1])) { printf("%d\n", x.first); found = true; break; } } } if (!found) { printf("-1\n"); } } return 0; }
#include <bits/stdc++.h> int n, m, q; int u[(1 << 20)], v[(1 << 20)], w[(1 << 20)]; std::vector<int> edges[(1 << 20) << 1]; int ans; int C[(1010)], dsu[(1010)], sz[(1010)]; int find(int x) { if (x == dsu[x]) return x; int p = find(dsu[x]); C[x] ^= C[dsu[x]]; return dsu[x] = p; } bool union_set(int a, int b) { int x = find(a), y = find(b); if (x == y) return false; if (sz[x] > sz[y]) std::swap(x, y); int p = (C[a] == C[b]); C[x] ^= p; sz[y] += sz[x]; dsu[x] = y; return true; } std::vector<int> merge(std::vector<int> &A, std::vector<int> &B) { int i = 0, j = 0; std::vector<int> tmp; while (i < A.size() && j < B.size()) { tmp.push_back(w[A[i]] > w[B[j]] ? A[i++] : B[j++]); } while (i < A.size()) tmp.push_back(A[i++]); while (j < B.size()) tmp.push_back(B[j++]); std::vector<int> rt; ans = -1; for (auto e : tmp) { C[u[e]] = C[v[e]] = 0; dsu[u[e]] = u[e]; dsu[v[e]] = v[e]; sz[u[e]] = sz[v[e]] = 1; } for (auto e : tmp) { if (union_set(u[e], v[e])) rt.push_back(e); else if (ans == -1 && C[u[e]] == C[v[e]]) ans = w[e], rt.push_back(e); } return rt; } void build() { for (int i = ((1 << 20) << 1) - 1; i; --i) { if (i >= (1 << 20)) { if ((1 << 20) + m - 1 >= i) { edges[i].push_back(i - (1 << 20) + 1); } } else { edges[i] = merge(edges[i << 1], edges[(i << 1) + 1]); } } } int query(int l, int r) { l += (1 << 20) - 1; r += (1 << 20); std::vector<int> es; for (; l < r; l >>= 1, r >>= 1) { if (l % 2) es = merge(es, edges[l++]); if (r % 2) es = merge(es, edges[r - 1]); } printf("\n"); return ans; } int main() { scanf("%d%d%d", &n, &m, &q); for (int i = 1; i <= m; ++i) { scanf("%d%d%d", u + i, v + i, w + i); } build(); for (int i = 1; i <= q; ++i) { int l, r; scanf("%d%d", &l, &r); printf("%d\n", query(l, r)); } return 0; }
#include <bits/stdc++.h> using namespace std; template <class S, class T> ostream& operator<<(ostream& os, const pair<S, T>& p) { return os << "(" << p.first << ", " << p.second << ")"; } template <class T> void debug(T a, T b) { cerr << "["; for (T i = a; i != b; ++i) { if (i != a) cerr << ", "; cerr << *i; } cerr << "]\n"; } struct Edge { int u, v, w, idx; inline bool operator<(const Edge& o) const { return w > o.w; } }; const int N = 1010; int par[N]; int size[N]; int opp[N]; int get(int n) { if (par[n] != n) { par[n] = get(par[n]); } return par[n]; } inline void merge(int u, int v) { u = get(u), v = get(v); if (u == v) { return; } if (size[u] > size[v]) { par[v] = u; size[u] += size[v]; } else { par[u] = v; size[v] += size[u]; } } int main() { ios::sync_with_stdio(false); cin.tie(NULL); int n, m, q; cin >> n >> m >> q; vector<Edge> edge(m); for (int i = 0; i < (m); ++i) { cin >> edge[i].u >> edge[i].v >> edge[i].w; --edge[i].u, --edge[i].v; edge[i].idx = i; } sort(edge.begin(), edge.end()); while (q--) { int l, r; cin >> l >> r; --l, --r; for (int i = 0; i < (n); ++i) { par[i] = i; size[i] = 1; opp[i] = -1; } int ans = -1; for (Edge e : edge) { if (e.idx >= l and e.idx <= r) { int u = get(e.u), v = get(e.v); if (u == v) { ans = e.w; break; } if (opp[u] != -1) { merge(opp[u], v); } else { opp[u] = v; } if (opp[v] != -1) { merge(opp[v], u); } else { opp[v] = u; } } } cout << ans << "\n"; } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1005; const int M = N * (N - 1) / 2; struct Edge { int u, v, w; }; struct Node { vector<Edge> e; int ans = -1; }; int p[N], vis[N], pass, change[N], sz[N]; int f(int u) { return u == p[u] ? u : f(p[u]); } int get(int u) { return u == p[u] ? 0 : change[u] ^ get(p[u]); } int n, m, q; Node merge(const Node &a, const Node &b) { Node ans; ans.ans = max(a.ans, b.ans); ans.e.reserve(max(a.e.size(), b.e.size())); pass++; auto init = [](int u) { vis[u] = pass; p[u] = u; sz[u] = 1; change[u] = 0; }; bool over = false; auto add = [&](Edge e) { if (over) return; if (vis[e.u] != pass) init(e.u); if (vis[e.v] != pass) init(e.v); int valu = get(e.u), valv = get(e.v); int u = f(e.u), v = f(e.v); if (u == v and valu == valv) { over = true; ans.ans = max(ans.ans, e.w); return; } if (u != v) { ans.e.push_back(e); if (sz[u] < sz[v]) swap(u, v); p[v] = u; sz[u] += sz[v]; if (valu == valv) change[v] ^= 1; } }; size_t i = 0, j = 0; while (!over and i < a.e.size() and j < b.e.size()) { if (a.e[i].w > b.e[j].w) { add(a.e[i++]); } else { add(b.e[j++]); } } while (!over and i < a.e.size()) add(a.e[i++]); while (!over and j < b.e.size()) add(b.e[j++]); return ans; } Node st[2 * M]; Node query(int l, int r) { Node ans; for (l += m, r += m; l < r; l >>= 1, r >>= 1) { if (l & 1) ans = merge(ans, st[l++]); if (r & 1) ans = merge(ans, st[--r]); } return ans; } int main() { scanf("%d %d %d", &n, &m, &q); for (int i = 0; i < m; i++) { Edge e; scanf("%d %d %d", &e.u, &e.v, &e.w); st[i + m].e.push_back(e); } for (int i = m - 1; i > 0; i--) { st[i] = merge(st[2 * i], st[2 * i + 1]); } while (q--) { int l, r; scanf("%d %d", &l, &r); printf("%d\n", query(l - 1, r).ans); } }
#include <bits/stdc++.h> using namespace std; int n, m, q; struct bian { int from, to, w, i; } b[2000000]; int cmp(const bian &a, const bian &b) { if (a.w > b.w) return 1; else return 0; } int l[10000], r[10000]; int father[10000], path[10000]; int findd(int x) { if (father[x] == x) return x; int t = father[x]; father[x] = findd(father[x]); path[x] = (path[t] + path[x]) % 2; return father[x]; } int fx, fy; int main() { cin >> n >> m >> q; for (int i = 1; i <= m; i++) { scanf("%d%d%d", &b[i].from, &b[i].to, &b[i].w); b[i].i = i; } sort(b + 1, b + m + 1, cmp); for (int i = 1; i <= q; i++) scanf("%d%d", &l[i], &r[i]); for (int i = 1; i <= q; i++) { int ans = 0; for (int j = 1; j <= n; j++) { path[j] = 0; father[j] = j; } for (int j = 1; j <= m; j++) if (b[j].i <= r[i] && b[j].i >= l[i]) { fx = findd(b[j].from); fy = findd(b[j].to); if (fx != fy) { father[fx] = fy; path[fx] = (1 + path[b[j].from] + path[b[j].to]) % 2; } else if (path[b[j].from] == path[b[j].to]) { cout << b[j].w << endl; ans = 1; break; } } if (!ans) cout << -1 << endl; ; } return 0; }
#include <bits/stdc++.h> using namespace std; template <class S, class T> ostream& operator<<(ostream& os, const pair<S, T>& p) { return os << "(" << p.first << ", " << p.second << ")"; } template <class T> void debug(T a, T b) { cerr << "["; for (T i = a; i != b; ++i) { if (i != a) cerr << ", "; cerr << *i; } cerr << "]\n"; } struct Edge { int u, v, w, idx; inline bool operator<(const Edge& o) const { return w > o.w; } }; const int N = 1010; int par[N]; int size[N]; int opp[N]; int get(int n) { if (par[n] != n) { par[n] = get(par[n]); } return par[n]; } inline void merge(int u, int v) { if (u == v) { return; } if (size[u] > size[v]) { par[v] = u; size[u] += size[v]; } else { par[u] = v; size[v] += size[u]; } } int main() { int n, m, q; scanf("%d%d%d", &n, &m, &q); vector<Edge> edge(m); for (int i = 0; i < (m); ++i) { scanf("%d%d%d", &edge[i].u, &edge[i].v, &edge[i].w); --edge[i].u, --edge[i].v; edge[i].idx = i; } sort(edge.begin(), edge.end()); while (q--) { int l, r; scanf("%d%d", &l, &r); --l, --r; for (int i = 0; i < (n); ++i) { par[i] = i; size[i] = 1; opp[i] = -1; } int ans = -1; for (int i = 0; i < (m); ++i) { Edge e = edge[i]; if (e.idx >= l and e.idx <= r) { int u = get(e.u), v = get(e.v); if (u == v) { ans = e.w; break; } if (opp[u] != -1) { merge(get(opp[u]), v); } else { opp[u] = v; } if (opp[v] != -1) { merge(get(opp[v]), u); } else { opp[v] = u; } } } cout << ans << "\n"; } return 0; }
#include <bits/stdc++.h> using namespace std; const long long N = 1 << 20; const long long second = 1 << 10; long long n, m, q, v[N], u[N], w[N], par[N], f[second]; vector<long long> seg[N << 2], V; bool CMP(long long i, long long j) { return w[i] > w[j]; } long long Find(long long v) { if (par[v] == v) return v; long long p = Find(par[v]); f[v] ^= f[par[v]]; par[v] = p; return p; } long long Union(long long v, long long u) { long long vv = Find(v), uu = Find(u); if (vv == uu) { if (f[v] == f[u]) return 0; return 1; } par[vv] = uu; f[vv] = f[v] == f[u]; return 2; } void build(int id = 1, int b = 0, int e = m) { vector<long long> vec; memset(f, 0, sizeof f); iota(par, par + n + 1, 0); for (int i = b; i < e; i++) vec.push_back(i); sort(vec.begin(), vec.end(), CMP); for (auto i : vec) { long long x = Union(v[i], u[i]); if (!x) { seg[id].push_back(i); break; } if (x == 1) continue; seg[id].push_back(i); } if (e - b == 1) return; build((id << 1), b, ((b + e) >> 1)); build(((id << 1) | 1), ((b + e) >> 1), e); } void get(int l, int r, int id = 1, int b = 0, int e = m) { if (r <= b || e <= l) return; if (l <= b && e <= r) { for (auto i : seg[id]) V.push_back(i); return; } get(l, r, (id << 1), b, ((b + e) >> 1)); get(l, r, ((id << 1) | 1), ((b + e) >> 1), e); } int main() { ios::sync_with_stdio(0), cin.tie(0); cin >> n >> m >> q; for (int i = 0; i < m; i++) { cin >> v[i] >> u[i] >> w[i]; } build(); while (q--) { long long l, r; cin >> l >> r; l--; memset(f, 0, sizeof f); iota(par, par + n + 1, 0); V.clear(); get(l, r); long long ans = -1; sort(V.begin(), V.end(), CMP); for (auto i : V) { long long x = Union(v[i], u[i]); if (x == 0) { ans = w[i]; break; } } cout << ans << '\n'; } }
#include <bits/stdc++.h> using namespace std; template <typename T> void read(T &x) { x = 0; char c = getchar(); bool p = 0; for (; c < '0' || c > '9'; c = getchar()) if (c == '-') p = 1; for (; c >= '0' && c <= '9'; c = getchar()) x = (x << 3) + (x << 1) + (c ^ 48); if (p) x = -x; } struct node { int id, l, r, val; } Hina[1000005], Aya[1000005]; int enemy[1005], f[1005], n, m, q, cnt; int find(int x) { return x == f[x] ? x : f[x] = find(f[x]); } bool cmp(node a, node b) { return a.val > b.val; } int query(int L, int R) { for (int i = 1; i <= n; ++i) f[i] = i; memset(enemy, 0, sizeof(enemy)); cnt = 0; for (int i = 1; i <= m; ++i) { if (Hina[i].id >= L && Hina[i].id <= R) { Aya[++cnt] = Hina[i]; } } for (int i = 1; i <= cnt; ++i) { int u = Aya[i].l, v = Aya[i].r; if (find(u) == find(v)) { return Aya[i].val; } if (!enemy[u]) { enemy[u] = v; } else { f[find(enemy[u])] = find(v); } if (!enemy[v]) { enemy[v] = u; } else { f[find(enemy[v])] = find(u); } } return -1; } int main() { read(n), read(m), read(q); for (int i = 1; i <= m; ++i) { read(Hina[i].l), read(Hina[i].r), read(Hina[i].val); Hina[i].id = i; } sort(Hina + 1, Hina + m + 1, cmp); for (int i = 1, L, R; i <= q; ++i) { read(L), read(R); printf("%d\n", query(L, R)); } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1e3 + 5, M = 1e6 + 6; int p[N], n, m, q, u[M], v[M], w[M], id[M]; bool color[N]; int find(int x) { if (p[x] < 0) return x; int bef = p[x]; p[x] = find(p[x]); color[x] = (color[x] != color[bef]); return p[x]; } int main() { scanf("%d%d%d", &n, &m, &q); for (int i = 0; i < m; i++) { scanf("%d%d%d", u + i, v + i, w + i); u[i]--; v[i]--; id[i] = i; } sort(id, id + m, [](int x, int y) { return w[x] > w[y]; }); while (q--) { for (int i = 0; i < n; i++) { p[i] = -1; color[i] = 0; } int l, r; scanf("%d%d", &l, &r); l--; r--; int ans = -1; for (int i = 0; i < m; i++) { if (id[i] < l || id[i] > r) continue; int x = u[id[i]], y = v[id[i]]; int px = find(x), py = find(y); if (px == py) { if (color[x] == color[y]) { ans = w[id[i]]; break; } else continue; } if (p[px] > p[py]) swap(px, py); p[px] += p[py]; p[py] = px; color[py] = (color[x] == color[y]); } printf("%d\n", ans); } return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, q; int edges[566456][3]; const int S = 1 << 19; vector<int> tree[2 * S]; vector<int> out; pair<int, bool> parent[1234]; bool cmp(int i, int j) { return edges[i][2] > edges[j][2]; } void cleaan() { for (int i = 1; i <= n; ++i) { parent[i] = make_pair(0, 0); } } pair<int, bool> finD(int no) { if (!parent[no].first) { return make_pair(no, 0); } auto tmp = finD(parent[no].first); parent[no] = make_pair(tmp.first, tmp.second ^ parent[no].second); return parent[no]; } int unioN(int n1, int n2) { auto tmp1 = finD(n1); auto tmp2 = finD(n2); if (tmp1.first != tmp2.first) { parent[tmp1.first] = make_pair(tmp2.first, 1 ^ tmp1.second ^ tmp2.second); return 1; } else { if (tmp1.second != tmp2.second) { return 3; } else { return 2; } } } void loda() { scanf("%d%d%d", &n, &m, &q); for (int i = 0; i < m; ++i) { scanf("%d%d%d", &edges[i][0], &edges[i][1], &edges[i][2]); } } int calc(vector<int>& inds) { sort(inds.begin(), inds.end(), cmp); cleaan(); out.clear(); for (int i = 0; i < inds.size(); ++i) { int tmp = unioN(edges[inds[i]][0], edges[inds[i]][1]); if (tmp == 1) { out.push_back(inds[i]); } if (tmp == 2) { out.push_back(inds[i]); return edges[inds[i]][2]; } } return -1; } void build(int l, int r, int node) { vector<int> inds; for (int i = l; i <= min(m - 1, r); ++i) inds.push_back(i); calc(inds); tree[node] = out; if (l < r) { int s = (l + r) / 2; build(l, s, 2 * node); build(s + 1, r, 2 * node + 1); } } void zbieraj(int l, int r, int ll, int rr, int node, vector<int>& inds) { if (r < ll || rr < l) { return; } if (l <= ll && rr <= r) { for (int ind : tree[node]) { inds.push_back(ind); } return; } int ss = (ll + rr) / 2; zbieraj(l, r, ll, ss, 2 * node, inds); zbieraj(l, r, ss + 1, rr, 2 * node + 1, inds); } int query() { int l, r; scanf("%d%d", &l, &r); --l; --r; vector<int> inds; zbieraj(l, r, 0, S - 1, 1, inds); return calc(inds); } int main() { loda(); build(0, S - 1, 1); for (int i = 0; i < q; ++i) { printf("%d\n", query()); } }
#include <bits/stdc++.h> using namespace std; void fre() { freopen("c://test//input.in", "r", stdin); freopen("c://test//output.out", "w", stdout); } template <class T1, class T2> inline void gmax(T1 &a, T2 b) { if (b > a) a = b; } template <class T1, class T2> inline void gmin(T1 &a, T2 b) { if (b < a) a = b; } const int N = 1010, M = 5e5 + 10, Z = 1e9 + 7, ms63 = 0x3f3f3f3f; int n, m, q; struct Edge { int x, y, z, o; bool operator<(const Edge &b) const { return z > b.z; } } a[M]; int f[N], op[N]; int find(int x) { return f[x] == x ? f[x] : f[x] = find(f[x]); } int solve(int l, int r) { for (int i = 1; i <= n; ++i) f[i] = i, op[i] = -1; for (int i = 1; i <= m; ++i) if (a[i].o >= l && a[i].o <= r) { int x = find(a[i].x); int y = find(a[i].y); if (x == y) return a[i].z; if (op[x] == -1) op[x] = y; if (op[y] == -1) op[y] = x; op[x] = find(op[x]); op[y] = find(op[y]); f[x] = op[y]; f[y] = op[x]; } return -1; } int main() { while (~scanf("%d%d%d", &n, &m, &q)) { for (int i = 1; i <= m; ++i) { scanf("%d%d%d", &a[i].x, &a[i].y, &a[i].z); a[i].o = i; } sort(a + 1, a + m + 1); while (q--) { int x, y; scanf("%d%d", &x, &y); printf("%d\n", solve(x, y)); } } return 0; }
#include <bits/stdc++.h> using namespace std; struct st { bool bp; int l[1005], cl[1005]; vector<tuple<int, int, int> > el; void rst() { bp = true; el.clear(); for (int i = (0); i < (1000); i++) l[i] = i, cl[i] = 0; } int gl(int i) { if (i == l[i]) return l[i]; else { int nl = gl(l[i]); cl[i] ^= cl[l[i]]; l[i] = nl; return nl; } } int gc(int i) { gl(i); return cl[i]; } void adde(int i, int j, int w) { if (!bp) return; gl(i); gl(j); if (l[i] == l[j]) { if (cl[i] ^ cl[j] ^ 1) { bp = false; el.emplace_back(w, i, j); } } else { cl[l[j]] = 1 ^ cl[j] ^ cl[i]; l[l[j]] = l[i]; el.emplace_back(w, i, j); } } }; st rt[4010]; int n, m, q; tuple<int, int, int> t[600000]; long long eo[600000]; int cp[600000]; vector<int> sp; int l[1005], r[1005]; int rtn; void added(int i, int x, int y, int w) { for (i += rtn; i > 0; i /= 2) { rt[i].adde(x, y, w); } } vector<tuple<int, int, int> > el; st qus; int qu(int i, int j) { el.clear(); for (i += rtn, j += rtn; i < j; i /= 2, j /= 2) { if (i & 1) { el.insert(el.end(), rt[i].el.begin(), rt[i].el.end()), i++; } if (j & 1) { j--; el.insert(el.end(), rt[j].el.begin(), rt[j].el.end()); } } sort(el.begin(), el.end()); reverse(el.begin(), el.end()); qus.rst(); for (auto ed : el) { int w, x, y; tie(w, x, y) = ed; qus.adde(x, y, w); if (!qus.bp) return w; } return -1; } int main() { scanf("%d %d %d", &n, &m, &q); for (int i = (0); i < (m); i++) { int x, y, w; scanf("%d %d %d", &x, &y, &w); x--; y--; t[i] = make_tuple(x, y, w); eo[i] = (1000000005 - w) * 1ll * m + i; } sort(eo, eo + m); for (int i = (0); i < (m); i++) eo[i] %= m; sp.push_back(0); sp.push_back(m); for (int i = (0); i < (q); i++) { scanf("%d %d", l + i, r + i); l[i]--; sp.push_back(l[i]); sp.push_back(r[i]); } sort(sp.begin(), sp.end()); sp.resize(unique(sp.begin(), sp.end()) - sp.begin()); for (int i = (0); i < (int(sp.size()) - 1); i++) for (int j = sp[i]; j < sp[i + 1]; j++) cp[j] = i; cp[m] = int(sp.size()) - 1; rtn = int(sp.size()); for (int i = (0); i < (2 * rtn); i++) rt[i].rst(); for (int i = (0); i < (m); i++) { int j = eo[i]; int x, y, w; tie(x, y, w) = t[j]; added(cp[j], x, y, w); } for (int i = (0); i < (q); i++) { printf("%d\n", qu(cp[l[i]], cp[r[i]])); } }
#include <bits/stdc++.h> using namespace std; using ll = long long; using ld = long double; using ii = pair<ll, ll>; using vi = vector<ll>; using vb = vector<bool>; using vvi = vector<vi>; using vii = vector<ii>; using vvii = vector<vii>; const int INF = 2000000000; const ll LLINF = 9000000000000000000; constexpr size_t NMAX = 1000; constexpr size_t MMAX = 1000000; constexpr size_t TMAX = 2000000; template <class T> struct resettable_vector { vector<T> val, def; vi time; int cur = 0; resettable_vector(int n, T d) { val.assign(n, d); def.assign(n, d); time.assign(n, cur = 0); } T get(int i) { return time[i] == cur ? val[i] : def[i]; } void set(int i, T v) { val[i] = v; time[i] = cur; } void set_default(int i, T v) { def[i] = v; } void reset() { ++cur; } }; struct AdvancedUnionFind { int n, c; bool bipartite = true; resettable_vector<int> par, rank, size; resettable_vector<bool> sign; AdvancedUnionFind(int _n) : n(_n), c(n), par(n, 0), rank(n, 0), size(n, 1), sign(n, false) { for (int i = 0; i < n; ++i) par.set(i, i), par.set_default(i, i); } int find(int i) { if (par.get(i) == i) return i; int p = find(par.get(i)); if (par.get(i) != p && sign.get(par.get(i))) sign.set(i, !sign.get(i)); par.set(i, p); return p; } bool same(int i, int j) { return find(i) == find(j); } bool sign_of(int u, int pu = -1) { if (pu == -1) pu = find(u); bool su = sign.get(u); if (u != pu && sign.get(pu)) su = !su; return su; } bool merge(int i, int j, bool diff = true) { int pi = find(i), pj = find(j); if (pi == pj) { bool si = sign_of(i, pi), sj = sign_of(j, pj); if (si == sj && diff) bipartite = false; if (si != sj && !diff) bipartite = false; return bipartite; } c--; if (rank.get(pi) > rank.get(pj)) swap(i, j), swap(pi, pj); bool si = sign_of(i, pi), sj = sign_of(j, pj); if ((si == sj && diff) || (si != sj && !diff)) sign.set(pi, !sign.get(pi)); par.set(pi, pj); size.set(pj, size.get(pj) + size.get(pi)); if (rank.get(pi) == rank.get(pj)) rank.set(pj, rank.get(pj) + 1); return bipartite; } void reset() { par.reset(); rank.reset(); size.reset(); sign.reset(); bipartite = true; c = n; } }; int n, m, q; vector<pair<ii, ll>> E; constexpr int SZ = 1e6; vb sign; AdvancedUnionFind uf(NMAX); vector<pair<ll, vi>> ans(SZ, {-2LL, vi()}); map<ii, int> cache; void combine_into(pair<ll, vi> &lv, pair<ll, vi> &rv, pair<ll, vi> &o) { uf.reset(); size_t lx = 0, rx = 0; while (lx < lv.second.size() || rx < rv.second.size()) { int i = (lx < lv.second.size() ? lv.second[lx] : rv.second[rx]); if (rx < rv.second.size() && E[i].second <= E[rv.second[rx]].second) { i = rv.second[rx]; ++rx; } else ++lx; int u = E[i].first.first, v = E[i].first.second; int pu = uf.find(u), pv = uf.find(v); if (pu == pv && uf.sign_of(u, pu) != uf.sign_of(v, pv)) continue; o.second.push_back(i); if (!uf.merge(u, v)) { o.first = E[i].second; break; } } } void ptup(pair<ll, vi> &v) { cerr << "{" << v.first << ","; for (ll w : v.second) cerr << " ((" << E[w].first.first << "," << E[w].first.second << ")," << E[w].second << ")"; cerr << "}"; } int solve(int l, int r) { auto it = cache.find({l, r}); if (it != cache.end()) return it->second; cache.insert({{l, r}, cache.size()}); int id = cache.size() - 1; ans[id].first = -1LL; int lid = solve(l, (l + r) / 2), rid = solve((l + r) / 2 + 1, r); combine_into(ans[lid], ans[rid], ans[id]); return id; } void accumulate(int l, int r, int L, int R, vi &res) { if (r < L || R < l) return; if (l <= L && R <= r) res.push_back(solve(L, R)); else { accumulate(l, r, L, (L + R) / 2, res); accumulate(l, r, (L + R) / 2 + 1, R, res); } } ll query(int l, int r) { vi res; accumulate(l, r, 0, m - 1, res); vector<pair<ll, vi>> resa(2, {-1LL, vi()}); for (size_t i = 0; i < res.size(); ++i) { resa[i & 1].second.clear(); combine_into(resa[(i & 1) ^ 1], ans[res[i]], resa[i & 1]); } return resa[(1 & res.size()) ^ 1].first; } int main() { scanf("%d %d %d", &n, &m, &q); E.assign(m, {{-1, -1}, 0LL}); for (int i = 0; i < m; ++i) { int u, v, w; scanf("%d %d %d", &u, &v, &w); E[i] = {{u - 1, v - 1}, ll(w)}; ans[cache.size()] = {-1LL, vi{i}}; cache.insert({{i, i}, cache.size()}); } while (q--) { int l, r; scanf("%d %d", &l, &r); cout << query(l - 1, r - 1) << '\n'; } return 0; }
#include <bits/stdc++.h> using namespace std; namespace std { template <class S, class T> struct hash<pair<S, T>> { size_t operator()(const pair<S, T> &p) const { return ((size_t)1e9 + 7) * hash<S>()(p.first) + hash<T>()(p.second); } }; template <class T> struct hash<vector<T>> { size_t operator()(const vector<T> &v) const { size_t h = 0; for (auto i : v) h = h * ((size_t)1e9 + 7) + hash<T>()(i) + 1; return h; } }; } // namespace std template <class T> ostream &operator<<(ostream &os, const vector<T> &v) { os << "[ "; for (int i = 0; i < (int)v.size(); i++) os << v[i] << (i == v.size() - 1 ? " ]" : ", "); return os; } template <class T> ostream &operator<<(ostream &os, const set<T> &v) { os << "{ "; for (const auto &i : v) os << i << ", "; return os << "}"; } template <class T, class U> ostream &operator<<(ostream &os, const map<T, U> &v) { os << "{"; for (const auto &i : v) os << " " << i.first << ": " << i.second << ","; return os << "}"; } template <class T, class U> ostream &operator<<(ostream &os, const pair<T, U> &p) { return os << "(" << p.first << ", " << p.second << ")"; } void dbgprint(const string &fmt) { cerr << endl; } template <class H, class... T> void dbgprint(const string &fmt, const H &h, const T &...r) { cerr << fmt.substr(0, fmt.find(",")) << "= " << h << " "; dbgprint(fmt.substr(fmt.find(",") + 1), r...); } const int inf = (int)1e9; const double INF = 1e12, EPS = 1e-9; int n, m, q; vector<pair<pair<int, int>, pair<int, int>>> e; int p[2000], height[2000]; inline int root(int x) { return x == p[x] ? x : (p[x] = root(p[x])); } inline void merge(int a, int b) { a = root(a); b = root(b); if (height[a] > height[b]) swap(a, b); else if (height[a] == height[b]) height[a]++; p[b] = a; } int main() { scanf("%d%d%d", &n, &m, &q); for (int i = 0; i < (int)m; i++) { int a, b, c; scanf("%d%d%d", &a, &b, &c); a--; b--; e.emplace_back(make_pair(c, i), make_pair(a, b)); } sort((e).begin(), (e).end()); while (q--) { int l, r; scanf("%d%d", &l, &r); l--; int ans = -1; for (int i = 0; i < (int)2 * n; i++) p[i] = i, height[i] = 0; for (int i = (int)e.size() - 1; i >= 0; i--) if (l <= e[i].first.second && e[i].first.second < r) { int a = e[i].second.first, b = e[i].second.second; int a0 = root(a * 2), b1 = root(b * 2 + 1); if (a0 == b1) continue; merge(b1, a0); merge(b * 2, a * 2 + 1); if (root(a * 2) == root(b * 2)) { ans = e[i].first.first; break; } } printf("%d\n", ans); } return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, Q, fa[500020], g[500020], p[500020]; vector<int> t, T[500020 << 2]; int read() { int x = 0, k = 1; char c; c = getchar(); while (c < '0' || c > '9') { if (c == '-') k = -1; c = getchar(); } while (c >= '0' && c <= '9') x = x * 10 + c - '0', c = getchar(); return x * k; } struct edge { int u, v, w; } e[500020]; int find(int x) { if (fa[x] == x) return x; int t = fa[x]; fa[x] = find(fa[x]); g[x] ^= g[t]; return fa[x]; } vector<int> Merge(vector<int> a, vector<int> b) { int cnt = 0; vector<int> c; for (int i = 0; i < a.size(); i++) { int x = a[i]; fa[e[x].u] = e[x].u, fa[e[x].v] = e[x].v; g[e[x].u] = g[e[x].v] = 0; } for (int i = 0; i < b.size(); i++) { int x = b[i]; fa[e[x].u] = e[x].u, fa[e[x].v] = e[x].v; g[e[x].u] = g[e[x].v] = 0; } for (int i = 0, j = 0; i < a.size() || j < b.size();) { if (i < a.size() && (j == b.size() || e[a[i]].w > e[b[j]].w)) p[++cnt] = a[i], i++; else p[++cnt] = b[j], j++; } for (int i = 1; i <= cnt; i++) { int x = e[p[i]].u, y = e[p[i]].v; if (find(x) != find(y)) g[fa[x]] = g[x] ^ g[y] ^ 1, fa[fa[x]] = fa[y], c.push_back(p[i]); else if (g[x] != g[y]) continue; else { c.push_back(p[i]); break; } } return c; } void Build(int p, int l, int r) { if (l == r) { T[p].push_back(l); return; } int mid = (l + r) >> 1; Build(p << 1, l, mid), Build(p << 1 | 1, mid + 1, r); T[p] = Merge(T[p << 1], T[p << 1 | 1]); } vector<int> Query(int p, int l, int r, int L, int R) { if (L <= l && R >= r) return T[p]; int mid = (l + r) >> 1; if (R <= mid) return Query(p << 1, l, mid, L, R); else if (L > mid) return Query(p << 1 | 1, mid + 1, r, L, R); return Merge(Query(p << 1, l, mid, L, R), Query(p << 1 | 1, mid + 1, r, L, R)); } int main() { n = read(), m = read(), Q = read(); for (int i = 1; i <= m; i++) e[i].u = read(), e[i].v = read(), e[i].w = read(); Build(1, 1, m); for (int i = 1; i <= Q; i++) { int L = read(), R = read(); t = Query(1, 1, m, L, R); for (int j = 0; j < t.size(); j++) fa[e[t[j]].u] = e[t[j]].u, fa[e[t[j]].v] = e[t[j]].v; int ans = -1; for (int j = 0; j < t.size(); j++) { int u = e[t[j]].u, v = e[t[j]].v; if (find(u) == find(v)) { ans = e[t[j]].w; break; } fa[fa[u]] = fa[v]; } printf("%d\n", ans); } return 0; }
#include <bits/stdc++.h> using namespace std; pair<pair<int, int>, pair<int, int> > E[1000000]; int p[1002], d[1002]; pair<int, int> find(int u, int cur) { if (p[u] != u) { pair<int, int> res = find(p[u], (cur + d[u]) % 2); int pp = res.first; int dd = res.second; p[u] = pp; d[u] = (cur + dd) % 2; return make_pair(pp, dd); } else { return make_pair(u, cur); } } int main() { ios::sync_with_stdio(0); int n, m, q; cin >> n >> m >> q; for (int i = 1; i <= m; i++) { int u, v, w; cin >> E[i].second.first >> E[i].second.second >> E[i].first.first; E[i].first.second = i; } sort(E + 1, E + m + 1); for (int i = 0; i < q; i++) { for (int i = 1; i <= n; i++) { p[i] = i; d[i] = 0; } int l, r; cin >> l >> r; bool found = false; int w = 12341234; for (int j = m; j >= 1; j--) { int ind = E[j].first.second; if (ind < l || ind > r) continue; w = E[j].first.first; int u = E[j].second.first; int v = E[j].second.second; pair<int, int> res = find(u, 0); int r = res.first; int d1 = res.second; res = find(v, 0); int s = res.first; int d2 = res.second; if (r != s) { p[s] = r; d[s] = (d1 + d2 + 1) % 2; } else if (d1 == d2) { found = true; break; } } if (found) { cout << w << endl; } else { cout << -1 << endl; } } }
#include <bits/stdc++.h> int n, m, q; int uft[1010][2]; int uftf(int x) { if (x == uft[x][0]) return x; uftf(uft[x][0]); uft[x][1] = uft[uft[x][0]][1] ^ uft[x][1]; uft[x][0] = uft[uft[x][0]][0]; return uft[x][0]; } struct edge { int a, b, c; bool operator<(const edge& r) const { return c > r.c; } }; struct edgeb { int a, b, c; bool operator<(const edgeb& r) const { return c < r.c; } }; edge eg[501000]; struct itnod { std::vector<edge>* a; itnod operator+(itnod z) { itnod res; res.a = new std::vector<edge>; int i, j; edge t; for (i = 1; i <= n; i++) { uft[i][0] = i; uft[i][1] = 0; } i = 0; j = 0; while (i < a->size() || j < z.a->size()) { if (i != a->size() && (j == z.a->size() || (*(a))[i] < (*(z.a))[j])) { t = (*a)[i]; i++; } else { t = (*z.a)[j]; j++; } if (uftf(t.a) != uftf(t.b)) { uft[uft[t.a][0]][1] = 1 ^ uft[t.a][1] ^ uft[t.b][1]; uft[uft[t.a][0]][0] = uftf(t.b); (*res.a).push_back(t); } else { if (uft[t.a][1] == uft[t.b][1]) { (*res.a).push_back(t); break; } } } return res; } }; const int bucketsz = 1 << 10; const int itsz = 1 << 9; itnod it[2 * itsz]; edge es[itsz][bucketsz]; int essz[itsz]; std::priority_queue<edgeb> pq; itnod itcalc(int start, int end) { start += itsz; end += itsz; itnod res; res.a = new std::vector<edge>; std::vector<edge>* pa = res.a; while (start <= end) { if (start % 2 == 1) { res = res + it[start]; pa->clear(); free(pa); pa = res.a; start++; } if (end % 2 == 0) { res = res + it[end]; pa->clear(); free(pa); pa = res.a; end--; } start /= 2; end /= 2; } return res; } int main() { int i, j, k; int a, b; edgeb t; scanf("%d%d%d", &n, &m, &q); for (i = 0; i < m; i++) { scanf("%d%d%d", &eg[i].a, &eg[i].b, &eg[i].c); } for (i = 0; i < m; i++) { es[i / bucketsz][essz[i / bucketsz]] = eg[i]; essz[i / bucketsz]++; } for (i = 0; i < itsz; i++) { std::sort(es[i], es[i] + essz[i]); } for (i = itsz; i < 2 * itsz; i++) { it[i].a = new std::vector<edge>; for (j = 0; j < essz[i - itsz]; j++) { it[i].a->push_back(es[i - itsz][j]); } } for (i = itsz - 1; i > 0; i--) { it[i] = it[i * 2] + it[i * 2 + 1]; } for (k = 0; k < q; k++) { scanf("%d%d", &a, &b); a--; b--; itnod s = itcalc(a / bucketsz + 1, b / bucketsz - 1); edge ta; edgeb tb; for (i = 0; i < s.a->size(); i++) { ta = (*s.a)[i]; tb.a = ta.a; tb.b = ta.b; tb.c = ta.c; pq.push(tb); } for (i = a; i <= b && i / bucketsz == a / bucketsz; i++) { ta = eg[i]; tb.a = ta.a; tb.b = ta.b; tb.c = ta.c; pq.push(tb); } if (i != b + 1) { for (i = b; i / bucketsz == b / bucketsz; i--) { ta = eg[i]; tb.a = ta.a; tb.b = ta.b; tb.c = ta.c; pq.push(tb); } } for (i = 1; i <= n; i++) { uft[i][0] = i; uft[i][1] = 0; } int ans = -1; while (pq.size() > 0) { t = pq.top(); pq.pop(); if (uftf(t.a) != uftf(t.b)) { uft[uft[t.a][0]][1] = 1 ^ uft[t.a][1] ^ uft[t.b][1]; uft[uft[t.a][0]][0] = uftf(t.b); } else { if (uft[t.a][1] == uft[t.b][1]) { ans = t.c; break; } } } while (pq.size() > 0) { pq.pop(); } printf("%d\n", ans); } return 0; }
#include <bits/stdc++.h> using namespace std; int cf[2000], tmpf[2000]; int N, M, Q; int a[1000000], b[1000000], w[1000000]; int cid[1000000]; int find(int i) { if (cf[i] == i) return i; cf[i] = find(cf[i]); return cf[i]; } bool cmp(int x, int y) { return w[x] > w[y]; } int l, r; int main() { scanf("%d %d %d", &N, &M, &Q); for (int i = 0; i < M; i++) { scanf("%d %d %d", &a[i], &b[i], &w[i]); a[i]--, b[i]--; cid[i] = i; } sort(cid, cid + M, cmp); int u, v; for (int i = 0; i < Q; i++) { scanf("%d %d", &l, &r); l--, r--; for (int i = 0; i < 2 * N; i++) cf[i] = i; bool out = 0; for (int j = 0; j < M; j++) { if (l <= cid[j] && cid[j] <= r) { u = a[cid[j]], v = b[cid[j]]; if (find(u) == find(v)) { out = 1; printf("%d\n", w[cid[j]]); break; } cf[find(u)] = find(v + N); cf[find(v)] = find(u + N); } } if (out == 0) printf("-1\n"); } }
#include <bits/stdc++.h> using namespace std; char buf[25]; const int maxn = 1010; const int maxm = 500010; struct edge { int x, y, v; } e[maxm]; struct tree { int lc, rc; vector<int> v; } t[maxm * 2]; vector<int> ans; int f[maxn], w[maxn]; int n, m, q, rt, num, val; int read() { int x = 0, f = 0; char ch; do { ch = getchar(); if (ch == '-') f = 1; } while (ch < '0' || ch > '9'); while (ch >= '0' && ch <= '9') { x = (x << 1) + (x << 3) + (ch ^ 48); ch = getchar(); } return f ? -x : x; } void write(int x) { if (x < 0) { putchar('-'); x = -x; } if (!x) { putchar('0'); return; } int cnt = 0; while (x) { buf[++cnt] = '0' + x % 10; x /= 10; } for (int i = cnt; i >= 1; --i) putchar(buf[i]); } int find(int x) { if (f[x] != x) { val ^= w[x]; int tp = f[x]; f[x] = find(f[x]); w[x] = w[x] ^ w[tp]; } return f[x]; } vector<int> merge(vector<int> a, vector<int> b) { if (a.size() == 0) return b; if (b.size() == 0) return a; vector<int> tp; tp.clear(); int i = 0, j = 0; while (i <= a.size() - 1 && j <= b.size() - 1) { if (e[a[i]].v > e[b[j]].v) tp.push_back(a[i]), ++i; else tp.push_back(b[j]), ++j; } while (i <= a.size() - 1) tp.push_back(a[i]), ++i; while (j <= b.size() - 1) tp.push_back(b[j]), ++j; for (int i = 0; i <= tp.size() - 1; ++i) { int x = e[tp[i]].x, y = e[tp[i]].y; f[x] = x; f[y] = y; w[x] = w[y] = 0; } vector<int> v; v.clear(); for (int i = 0; i <= tp.size() - 1; ++i) { int x = e[tp[i]].x, y = e[tp[i]].y; val = 0; int tx = find(x), ty = find(y); if (tx != ty) { f[tx] = f[ty]; w[tx] = val ^ 1; v.push_back(tp[i]); } else { if (!val) { v.push_back(tp[i]); break; } } } return v; } int build(int l, int r) { int x = ++num; if (l == r) { t[x].v.push_back(l); } else { int mid = (l + r) >> 1; t[x].lc = build(l, mid); t[x].rc = build(mid + 1, r); t[x].v = merge(t[t[x].lc].v, t[t[x].rc].v); } return x; } void query(int x, int l, int r, int ql, int qr) { if (ql <= l && r <= qr) { ans = merge(ans, t[x].v); return; } int mid = (l + r) >> 1; if (ql <= mid) query(t[x].lc, l, mid, ql, qr); if (mid + 1 <= qr) query(t[x].rc, mid + 1, r, ql, qr); } int main() { n = read(); m = read(); q = read(); for (int i = 1; i <= m; ++i) { e[i].x = read(); e[i].y = read(); e[i].v = read(); } rt = build(1, m); for (int i = 1; i <= q; ++i) { int l = read(), r = read(); ans.clear(); query(rt, 1, m, l, r); for (int j = 1; j <= n; ++j) f[j] = j, w[j] = 0; int ANS = -1; for (int j = 0; j <= ans.size() - 1; ++j) { int x = e[ans[j]].x, y = e[ans[j]].y; val = 0; int tx = find(x), ty = find(y); if (tx != ty) f[tx] = f[ty], w[tx] = val ^ 1; else { if (val == 0) { ANS = e[ans[j]].v; break; } } } write(ANS); putchar('\n'); } return 0; }
#include <bits/stdc++.h> using namespace std; inline int in() { int x; scanf("%d", &x); return x; } const int N = 2002, M = (1 << 20), Q = 1001, S = 2 * M; struct Edge { int u, v, w; Edge(int u = 0, int v = 0, int w = 0) : v(v), u(u), w(w) {} bool operator<(const Edge &e) const { return w < e.w; } }; struct Segment { int l, r; Segment(int l = 0, int r = 0) : l(l), r(r) {} }; int n, m, q; Edge es[M]; vector<Edge> seg[S]; Segment range[S]; int par[N], cost[N], PAP[N]; Segment merge(Segment l, Segment r) { return Segment(l.l, r.r); } void clear(vector<Edge> &es) { for (Edge e : es) { par[e.v] = par[e.u] = -1; cost[e.v] = cost[e.u] = 0; PAP[e.v] = PAP[e.u] = 1; } } int root(int v) { if (par[v] == -1) return v; int u = root(par[v]); cost[v] ^= cost[par[v]]; return par[v] = u; } int parity(int v) { root(v); return cost[v]; } int merge(Edge e) { if (PAP[root(e.u)] > PAP[root(e.v)]) swap(e.u, e.v); if (root(e.u) == root(e.v)) { if (parity(e.u) == parity(e.v)) return 2; return 0; } int u = root(e.u); int v = root(e.v); cost[u] ^= (parity(e.u) ^ 1 ^ parity(e.v)); par[u] = root(v); PAP[v] += PAP[u]; return 1; } bool hasOddCycle; vector<Edge> merge(vector<Edge> &a, vector<Edge> &b) { vector<Edge> c; merge(a.begin(), a.end(), b.begin(), b.end(), back_inserter(c)); clear(c); vector<Edge> res; for (int i = c.size() - 1; i >= 0; i--) { int x = merge(c[i]); if (x) res.push_back(c[i]); if (x == 2) { hasOddCycle = 1; break; } } reverse(res.begin(), res.end()); return res; } void make() { for (int i = S - 1; i; i--) { if (i >= M) { range[i] = Segment(i - M, i - M + 1); if (i - M < m) seg[i].push_back(es[i - M]); } else { range[i] = merge(range[i * 2], range[i * 2 + 1]); seg[i] = merge(seg[i * 2], seg[i * 2 + 1]); } } } int solve(Segment s) { vector<Edge> es; hasOddCycle = 0; for (int l = s.l + M, r = s.r + M; l < r; l /= 2, r /= 2) { if (l % 2) es = merge(es, seg[l++]); if (r % 2) es = merge(es, seg[--r]); } if (hasOddCycle) return es[0].w; return -1; } int main() { cin >> n >> m >> q; for (int i = 0; i < m; i++) { es[i].u = in() - 1; es[i].v = in() - 1; es[i].w = in(); } make(); while (q--) { int l = in() - 1, r = in(); cout << solve(Segment(l, r)) << "\n"; } }
#include <bits/stdc++.h> using namespace std; const int maxn = 1011; int fa[maxn * 2]; int find(int x) { return fa[x] == x ? x : fa[x] = find(fa[x]); } int n, m, q; struct edge { int u, v, w, id; bool operator<(const edge &oth) const { return w > oth.w; } } E[maxn * maxn / 2]; int getn() { int r = 0; char c = getchar(); while (!isdigit(c)) c = getchar(); while (isdigit(c)) r = r * 10 + c - '0', c = getchar(); return r; } int main() { n = getn(); m = getn(); q = getn(); for (int i = 1; i <= m; i++) { E[i].u = getn() - 1; E[i].v = getn() - 1; E[i].w = getn(); E[i].id = i; } sort(E + 1, E + 1 + m); while (q--) { int l = getn(), r = getn(); for (int i = 0; i <= n * 2; i++) fa[i] = i; int ok = 0; for (int i = 1; i <= m; i++) if (l <= E[i].id && E[i].id <= r) { if (find(E[i].u * 2) == find(E[i].v * 2)) { ok = 1; printf("%d\n", E[i].w); break; } else { fa[find(E[i].u * 2)] = find(E[i].v * 2 + 1); fa[find(E[i].u * 2 + 1)] = find(E[i].v * 2); } } if (!ok) puts("-1"); } return 0; }
#include <bits/stdc++.h> int n, m, q; int u[(1 << 20)], v[(1 << 20)], w[(1 << 20)]; std::vector<int> edges[(1 << 20) << 1]; int ans; int colr[(1010)], fa[(1010)], sz[(1010)]; int getfather(int x) { if (x == fa[x]) return x; int p = getfather(fa[x]); colr[x] ^= colr[fa[x]]; return fa[x] = p; } bool union_set(int u, int v) { int fu = getfather(u), fv = getfather(v); if (fu == fv) return false; int p = (colr[u] == colr[v]); colr[fu] ^= p; sz[fv] += sz[fu]; fa[fu] = fv; return true; } std::vector<int> merge(std::vector<int> &A, std::vector<int> &B) { int i = 0, j = 0; std::vector<int> tmp; while (i < A.size() && j < B.size()) { tmp.push_back(w[A[i]] > w[B[j]] ? A[i++] : B[j++]); } while (i < A.size()) tmp.push_back(A[i++]); while (j < B.size()) tmp.push_back(B[j++]); std::vector<int> rt; ans = -1; for (auto e : tmp) { colr[u[e]] = colr[v[e]] = 0; fa[u[e]] = u[e]; fa[v[e]] = v[e]; sz[u[e]] = sz[v[e]] = 1; } for (auto e : tmp) { if (union_set(u[e], v[e])) rt.push_back(e); else if (ans == -1 && colr[u[e]] == colr[v[e]]) { ans = w[e]; rt.push_back(e); break; } } return rt; } void build() { for (int i = ((1 << 20) << 1) - 1; i; --i) { if (i >= (1 << 20)) { if ((1 << 20) + m - 1 >= i) { edges[i].push_back(i - (1 << 20) + 1); } } else { edges[i] = merge(edges[i << 1], edges[(i << 1) + 1]); } } } int query(int l, int r) { l += (1 << 20) - 1; r += (1 << 20); std::vector<int> es; for (; l < r; l >>= 1, r >>= 1) { if (l % 2) es = merge(es, edges[l++]); if (r % 2) es = merge(es, edges[r - 1]); } printf("\n"); return ans; } int main() { scanf("%d%d%d", &n, &m, &q); for (int i = 1; i <= m; ++i) { scanf("%d%d%d", u + i, v + i, w + i); } build(); for (int i = 1; i <= q; ++i) { int l, r; scanf("%d%d", &l, &r); printf("%d\n", query(l, r)); } return 0; }
#include <bits/stdc++.h> using namespace std; struct edge { int u, v, w, i; bool operator<(const edge &rhs) const { return w < rhs.w; } } arr[500100]; int n, m, q; vector<edge> adj[1001]; int pa[1001], lz[1001], c[1001]; int find(int cur) { int p = pa[cur]; while (p != pa[p]) { c[cur] ^= lz[p]; lz[cur] ^= lz[p]; p = pa[p]; } pa[cur] = p; return p; } bool merge(int u, int v) { int pu = find(u), pv = find(v); if (pu == pv) { return c[u] != c[v]; } else { if (c[u] == c[v]) { lz[pv] ^= 1, c[pv] ^= 1; } pa[pv] = pu; return true; } } int l, r, mw; int main() { scanf("%d%d%d", &n, &m, &q); for (int i = 0; i < m; i++) { scanf("%d%d%d", &arr[i].u, &arr[i].v, &arr[i].w), arr[i].i = i + 1; } sort(arr, arr + m); while (q--) { int l, r; scanf("%d%d", &l, &r); for (int i = 1; i <= n; i++) pa[i] = i, c[i] = 0, lz[i] = 0; int j = m - 1; for (; j >= 0; j--) if (arr[j].i >= l && arr[j].i <= r) { if (!merge(arr[j].u, arr[j].v)) break; } if (j == -1) puts("-1"); else printf("%d\n", arr[j].w); } return 0; }
#include <bits/stdc++.h> using namespace std; int edges[1010 * 1010][3]; int i, j, n, m, q; int L, R; map<pair<int, int>, int> ans; bool color[1010]; int fa[1010], sum[1010]; struct Edge { int a, b, w, id; } ee[1010 * 1010]; bool cmp(const pair<int, int>& a, const pair<int, int>& b) { return a.second < b.second; } bool cmp2(const Edge& a, const Edge& b) { return a.w > b.w; } int findfa(int a) { if (a == fa[a]) return a; int ans = findfa(fa[a]); color[a] = color[a] ^ color[fa[a]]; return fa[a] = ans; } bool merge(int a, int b) { int aa = findfa(a), bb = findfa(b); if (aa == bb) { if (color[a] == color[b]) return false; return true; } if (sum[aa] > sum[bb]) { swap(aa, bb); } fa[aa] = bb; if (color[a] == color[b]) color[aa] = !color[aa]; sum[bb] += sum[aa]; return true; } int make() { for (i = 1; i < (int)n + 1; ++i) { fa[i] = i; sum[i] = 1; color[i] = 0; } int ans = -1; for (i = 0; i < (int)m; ++i) { if (ee[i].id >= L && ee[i].id <= R) { if (!merge(ee[i].a, ee[i].b)) { ans = ee[i].w; return ans; } } } return ans; } int main() { scanf("%d %d %d", &n, &m, &q); for (i = 0; i < (int)m; ++i) { scanf("%d %d %d", &edges[i][0], &edges[i][1], &edges[i][2]); ee[i].a = edges[i][0]; ee[i].b = edges[i][1]; ee[i].w = edges[i][2]; ee[i].id = i + 1; } sort(ee, ee + m, cmp2); while (q--) { scanf("%d %d", &L, &R); if (!ans.count(make_pair(L, R))) { ans[make_pair(L, R)] = make(); } printf("%d\n", ans[make_pair(L, R)]); } return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, Q; inline int get() { int x = 0; char c = getchar(); while (c < '0' || c > '9') c = getchar(); while (c >= '0' && c <= '9') x = x * 10 + c - '0', c = getchar(); return x; } struct Edge { int x, y, w, id; friend bool operator<(const Edge &p, const Edge &q) { return p.w > q.w; } } E[1000 * 500]; int fa[2010]; int find(int x) { if (x == fa[x]) return x; return fa[x] = find(fa[x]); } inline void uni(int x, int y) { fa[find(x)] = find(y); } int main() { n = get(), m = get(), Q = get(); for (int i = 1; i <= m; i++) E[i].x = get(), E[i].y = get(), E[i].w = get(), E[i].id = i; sort(E + 1, E + m + 1); while (Q--) { int l, r; l = get(), r = get(); for (int i = 1; i <= n + n; i++) fa[i] = i; int ans = -1; for (int i = 1; i <= m; i++) if (E[i].id >= l && E[i].id <= r) { if (find(E[i].x) == find(E[i].y)) { ans = E[i].w; break; } uni(E[i].x, E[i].y + n); uni(E[i].x + n, E[i].y); } printf("%d\n", ans); } return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 1100; int fa[maxn * 2]; int n, m, q; struct Edge { int u, v, w, id; friend bool operator<(const Edge n1, const Edge n2) { return n1.w > n2.w; } } edge[maxn * maxn]; int findset(int x) { return fa[x] == x ? x : fa[x] = findset(fa[x]); } void Union(int x, int y) { int fx = findset(x); int fy = findset(y); if (fx != fy) { fa[fx] = fy; } } int main() { cin >> n >> m >> q; for (int i = 1; i <= m; i++) { scanf("%d%d%d", &edge[i].u, &edge[i].v, &edge[i].w); edge[i].id = i; } sort(edge + 1, edge + m + 1); while (q--) { bool flag = false; int l, r; scanf("%d%d", &l, &r); for (int i = 1; i <= 2 * n; i++) fa[i] = i; int ans = 0x3f3f3f3f; for (int i = 1; i <= m; i++) { if (edge[i].id < l || edge[i].id > r) continue; int u = edge[i].u, v = edge[i].v; int fu = findset(u), fv = findset(v); if (fu != fv) { Union(edge[i].u, edge[i].v + n); Union(edge[i].u + n, edge[i].v); } else { printf("%d\n", edge[i].w); flag = true; break; } } if (!flag) printf("-1\n"); } return 0; }
#include <bits/stdc++.h> using namespace std; template <typename Arg1> void __f(const char* name, Arg1&& arg1) { cerr << name << " : " << arg1 << std::endl; } template <typename Arg1, typename... Args> void __f(const char* names, Arg1&& arg1, Args&&... args) { const char* comma = strchr(names + 1, ','); cerr.write(names, comma - names) << " : " << arg1 << " | "; __f(comma + 1, args...); } const int N = int(1e3) + 10; const int M = (N * (N - 1)) / 2; const int LOGM = 23; int U[M], V[M], W[M], n, m, q, C[N], dsu[N], sz[N]; bool cmp(int a, int b) { return W[a] > W[b]; } inline int Find(int x) { if (x == dsu[x]) return x; int p = Find(dsu[x]); C[x] ^= C[dsu[x]]; return dsu[x] = p; } inline bool Union(int a, int b) { int x = Find(a), y = Find(b); if (x == y) return false; if (sz[x] > sz[y]) swap(x, y), swap(a, b); int p = (C[a] == C[b]); C[x] ^= p; sz[y] += sz[x]; dsu[x] = y; Find(a); Find(b); return true; } struct tree { vector<int> edges; int ans; tree() { edges.clear(); } tree(int l, int r) { for (int i = l; i <= r; i++) edges.push_back(i); sort(edges.begin(), edges.end(), cmp); } tree(vector<int>& _edges) { edges = _edges; } inline void build() { ans = -1; for (auto e : edges) { C[U[e]] = C[V[e]] = 0; dsu[U[e]] = U[e]; dsu[V[e]] = V[e]; sz[U[e]] = sz[V[e]] = 1; } vector<int> want; for (auto e : edges) if (Union(U[e], V[e])) want.push_back(e); else if (ans == -1 && C[U[e]] == C[V[e]]) ans = W[e], want.push_back(e); edges = want; } }; tree ST[4 * M], null; inline tree merge(tree& A, tree& B) { vector<int> edges; vector<int>&a = A.edges, &b = B.edges; if (a.empty() || b.empty()) return (a.empty() ? B : A); int i = 0, j = 0; while (i < (int)(a.size()) && j < (int)(b.size())) if (W[a[i]] > W[b[j]]) edges.push_back(a[i++]); else edges.push_back(b[j++]); while (i < (int)(a.size())) edges.push_back(a[i++]); while (j < (int)(b.size())) edges.push_back(b[j++]); tree ret(edges); ret.build(); return ret; } inline void build(int l = 1, int r = m + 1, int x = 1) { if (l == r - 1) { ST[x] = tree(l, l); ST[x].build(); return; } int m = (l + r) / 2; build(l, m, (x << 1)); build(m, r, (x << 1) | 1); ST[x] = merge(ST[(x << 1)], ST[(x << 1) | 1]); } inline tree query(int L, int R, int l = 1, int r = m + 1, int x = 1) { if (l >= L && r <= R) return ST[x]; if (l >= R || r <= L) return null; int m = (l + r) / 2; tree la = query(L, R, l, m, (x << 1)); tree ra = query(L, R, m, r, (x << 1) | 1); return merge(la, ra); } int main() { scanf("%d", &n); scanf("%d", &m); scanf("%d", &q); for (int i = 1; i <= m; i++) scanf("%d %d %d", U + i, V + i, W + i); build(); while (q--) { int l, r; scanf("%d", &l); scanf("%d", &r); printf("%d\n", query(l, r + 1).ans); } return 0; }
#include <bits/stdc++.h> std::mt19937 engine(42); struct Edge { int from, to, weight, index; Edge() {} Edge(int from, int to, int weight, int index) : from(from), to(to), weight(weight), index(index) {} }; const int max_size = 1000; int parent[max_size * 2 + 1]; int rank[max_size * 2 + 1]; Edge edges[max_size * max_size]; inline int find_set(int v) { if (v == parent[v]) { return v; } return parent[v] = find_set(parent[v]); } inline void union_sets(int a, int b) { a = find_set(a); b = find_set(b); if (a == b) { return; } if (rank[a] < rank[b]) { std::swap(a, b); } parent[b] = a; if (rank[a] == rank[b]) { ++rank[a]; } } int main() { std::ios_base::sync_with_stdio(false); std::cout.tie(NULL); int n, m, q; std::cin >> n >> m >> q; for (int i = 0; i < m; ++i) { int from, to, weight; std::cin >> from >> to >> weight; from--, to--; edges[i] = Edge(from, to, weight, i); } std::sort(edges, edges + m, [](Edge a, Edge b) { return a.weight > b.weight; }); for (int query_index = 0; query_index < q; ++query_index) { int left, right; std::cin >> left >> right; for (int i = 0; i < 2 * n; ++i) { parent[i] = i; rank[i] = 0; } bool flag = false; for (int i = 0; i < m; ++i) { Edge edge = edges[i]; if ((edge.index + 1 < left) || (edge.index >= right)) { continue; } int from = edge.from; int to = edge.to; int anti_from = from + n; int anti_to = to + n; union_sets(from, anti_to); union_sets(to, anti_from); if (find_set(anti_to) == find_set(to)) { flag = true; std::cout << edge.weight << '\n'; break; } } if (!flag) { std::cout << -1 << '\n'; } } return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, q; vector<pair<pair<int, int>, pair<int, int> > > edgeTotal; int p[1111], len[1111], ran[1111]; bool cmp(const pair<pair<int, int>, pair<int, int> > &a, const pair<pair<int, int>, pair<int, int> > &b) { return a.first.first > b.first.first; } int find_set(int x) { if (x == p[x]) return x; int y = find_set(p[x]); len[x] ^= len[p[x]]; return p[x] = y; } void merge_set(int x, int y) { int px = find_set(x); int py = find_set(y); if (ran[px] > ran[py]) swap(px, py); p[px] = py; len[px] ^= len[x] ^ len[y] ^ 1; if (ran[px] == ran[py]) ran[py]++; } int main() { ios::sync_with_stdio(false); cin >> n >> m >> q; for (int i = 1; i <= m; i++) { int a, b, w; cin >> a >> b >> w; edgeTotal.push_back(make_pair(make_pair(w, i), make_pair(a, b))); } sort(edgeTotal.begin(), edgeTotal.end(), cmp); for (int i = 0; i < q; i++) { int l, r; cin >> l >> r; for (int j = 1; j <= n; j++) { p[j] = j; len[j] = 0; ran[j] = 0; } int ans = -1; for (int j = 0; j < edgeTotal.size(); j++) { if (edgeTotal[j].first.second > r || edgeTotal[j].first.second < l) continue; int w = edgeTotal[j].first.first, a = edgeTotal[j].second.first, b = edgeTotal[j].second.second; if (find_set(a) != find_set(b)) { merge_set(a, b); } else { if (abs(len[a] - len[b]) % 2 == 0) { ans = w; break; } } } cout << ans << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; template <typename T> T BigMod(T b, T p, T m) { if (p == 0) return 1; if (p % 2 == 0) { T s = BigMod(b, p / 2, m); return ((s % m) * (s % m)) % m; } return ((b % m) * (BigMod(b, p - 1, m) % m)) % m; } template <typename T> T ModInv(T b, T m) { return BigMod(b, m - 2, m); } template <typename T> T in() { char ch; T n = 0; bool ng = false; while (1) { ch = getchar(); if (ch == '-') { ng = true; ch = getchar(); break; } if (ch >= '0' && ch <= '9') break; } while (1) { n = n * 10 + (ch - '0'); ch = getchar(); if (ch < '0' || ch > '9') break; } return (ng ? -n : n); } template <typename T> T POW(T B, T printf) { if (printf == 0) return 1; if (printf & 1) return B * POW(B, printf - 1); else return (POW(B, printf / 2) * POW(B, printf / 2)); } template <typename T> T Bigmod(T b, T p, T m) { if (p == 0) return 1; else if (!(p & 1)) return (Bigmod(b, p / 2, m) * Bigmod(b, p / 2, m)) % m; else return ((b % m) * Bigmod(b, p - 1, m)) % m; } template <typename T> T Dis(T x1, T y1, T x2, T y2) { return sqrt((x1 - x2 * x1 - x2) + (y1 - y2 * y1 - y2)); } template <typename T> T Angle(T x1, T y1, T x2, T y2) { return atan(double(y1 - y2) / double(x1 - x2)); } template <typename T> T DIFF(T a, T b) { T d = a - b; if (d < 0) return -d; else return d; } template <typename T> T ABS(T a) { if (a < 0) return -a; else return a; } template <typename T> T gcd(T a, T b) { if (a < 0) return gcd(-a, b); if (b < 0) return gcd(a, -b); return (b == 0) ? a : gcd(b, a % b); } template <typename T> T lcm(T a, T b) { if (a < 0) return lcm(-a, b); if (b < 0) return lcm(a, -b); return a * (b / gcd(a, b)); } template <typename T> T euclide(T a, T b, T& x, T& y) { if (a < 0) { T d = euclide(-a, b, x, y); x = -x; return d; } if (b < 0) { T d = euclide(a, -b, x, y); y = -y; return d; } if (b == 0) { x = 1; y = 0; return a; } else { T d = euclide(b, a % b, x, y); T t = x; x = y; y = t - (a / b) * y; return d; } } template <typename T> void ia(T a[], int n) { for (int i = 0; i < n; i++) cin >> a[i]; } template <typename T> void pa(T a[], int n) { for (int i = 0; i < n - 1; i++) cout << a[i] << " "; cout << a[n - 1] << endl; } template <typename T> long long int isLeft(T a, T b, T c) { return (a.x - b.x) * (b.y - c.y) - (b.x - c.x) * (a.y - b.y); } int Set(int N, int pos) { return N = N | (1 << pos); } int Reset(int N, int pos) { return N = N & ~(1 << pos); } bool Check(int N, int pos) { return (bool)(N & (1 << pos)); } template <class T, class first> inline T togglebit(T a, first i) { T t = 1; return (a ^ (t << i)); } double DEG(double x) { return (180.0 * x) / (2.0 * acos(0.0)); } double RAD(double x) { return (x * (double)2.0 * acos(0.0)) / (180.0); } template <class T> struct Vector { T* ar; int sz; int cap; Vector() { cap = 1; sz = 0; ar = (T*)malloc(cap * sizeof(T)); } Vector(int n) { cap = n; sz = n; ar = (T*)calloc(cap, sizeof(T)); } void push_back(T x) { if (sz == cap) { cap = cap + ((cap + 1) >> 1); ar = (T*)realloc(ar, cap * sizeof(T)); } ar[sz++] = x; } void clear() { cap = 1; sz = 0; free(ar); ar = (T*)malloc(cap * sizeof(T)); } void sort(int l, int r) { std::sort(ar + l, ar + r + 1); } T& operator[](int idx) { return ar[idx]; } int size() { return sz; } }; struct Edge { int u, v, w, i; Edge() {} Edge(int _u, int _v, int _w, int _i) { u = _u; v = _v; w = _w; i = _i; } bool operator<(const Edge& p) const { return w < p.w; } }; int par[1007], color[1007]; Vector<int> comp[1007]; Vector<Edge> e; void Init(int n) { for (int i = 0; i <= n; i++) { par[i] = i; color[i] = 0; comp[i].clear(); comp[i].push_back(i); } } int FindPar(int n) { if (par[n] == n) return n; else return par[n] = FindPar(par[n]); } int main() { int n, m, q; scanf("%d%d%d", &n, &m, &q); e = Vector<Edge>(m + 2); for (int i = 1; i <= m; i++) { int u, v, w; scanf("%d%d%d", &u, &v, &w); e[i] = Edge(u, v, w, i); } e.sort(1, m); while (q--) { int l, r; scanf("%d%d", &l, &r); Init(n); int res = -1; for (int i = m; i; i--) { if (e[i].i < l || e[i].i > r) continue; int u = par[e[i].u], v = par[e[i].v], w = e[i].w; if (u != v) { if (comp[u].size() < comp[v].size()) swap(u, v); int f = (color[e[i].u] == color[e[i].v]); for (int j = 0; j < comp[v].size(); j++) { int x = comp[v][j]; color[x] ^= f; comp[u].push_back(x); par[x] = u; } comp[v].clear(); } else if (color[e[i].u] == color[e[i].v]) { res = max(res, w); break; } } printf("%d\n", res); } return 0; }
#include <bits/stdc++.h> using namespace std; void getre() { int x = 0; printf("%d\n", 1 / x); } void gettle() { int res = 1; while (1) res <<= 1; printf("%d\n", res); } template <typename T, typename S> inline bool upmin(T &a, const S &b) { return a > b ? a = b, 1 : 0; } template <typename T, typename S> inline bool upmax(T &a, const S &b) { return a < b ? a = b, 1 : 0; } template <typename N, typename PN> inline N flo(N a, PN b) { return a >= 0 ? a / b : -((-a - 1) / b) - 1; } template <typename N, typename PN> inline N cei(N a, PN b) { return a > 0 ? (a - 1) / b + 1 : -(-a / b); } template <typename N> N gcd(N a, N b) { return b ? gcd(b, a % b) : a; } template <typename N> inline int sgn(N a) { return a > 0 ? 1 : (a < 0 ? -1 : 0); } inline void gn(long long &x) { int sg = 1; char c; while (((c = getchar()) < '0' || c > '9') && c != '-') ; c == '-' ? (sg = -1, x = 0) : (x = c - '0'); while ((c = getchar()) >= '0' && c <= '9') x = x * 10 + c - '0'; x *= sg; } inline void gn(int &x) { long long t; gn(t); x = t; } inline void gn(unsigned long long &x) { long long t; gn(t); x = t; } inline void gn(double &x) { double t; scanf("%lf", &t); x = t; } inline void gn(long double &x) { double t; scanf("%lf", &t); x = t; } inline void gs(char *s) { scanf("%s", s); } inline void gc(char &c) { while ((c = getchar()) > 126 || c < 33) ; } inline void pc(char c) { putchar(c); } inline long long sqr(long long a) { return a * a; } inline double sqrf(double a) { return a * a; } const int inf = 0x3f3f3f3f; const double pi = 3.14159265358979323846264338327950288L; const double eps = 1e-6; int n, m, q; int u[1111111], v[1111111], w[1111111]; int ord[1111111]; int tot; int cmp(int i, int j) { return w[i] > w[j]; } int cmp1(int i, int j) { return w[i] < w[j]; } int val[1111111]; int fa[2222]; int gf(int x) { return x == fa[x] ? x : fa[x] = gf(fa[x]); } map<pair<int, int>, int> mem; int u2[1111111], v2[1111111]; int main() { gn(n); gn(m); gn(q); for (int i = (1), _ed = (m + 1); i < _ed; i++) { gn(u[i]), gn(v[i]), gn(w[i]); ord[i] = i; } sort(ord + 1, ord + 1 + m, cmp1); for (int i = (1), _ed = (m + 1); i < _ed; i++) val[i] = w[ord[i]]; for (int i = (1), _ed = (m + 1); i < _ed; i++) u2[i] = u[ord[i]], v2[i] = v[ord[i]]; while (q--) { int l, r; gn(l); gn(r); if (mem.count(make_pair(l, r))) { printf("%d\n", mem[make_pair(l, r)]); continue; } for (int i = (1), _ed = (2 * n + 1); i < _ed; i++) fa[i] = i; int ans = -1; for (int i = m; i >= 1; i--) if (ord[i] >= l && ord[i] <= r) { int uu = u2[i], vv = v2[i]; int a, b, c, d; if ((a = gf(uu)) == (b = gf(vv)) || (c = gf(uu + n)) == (d = gf(vv + n))) { ans = w[ord[i]]; break; } fa[a] = d; fa[b] = c; } printf("%d\n", mem[make_pair(l, r)] = ans); } return 0; }
#include <bits/stdc++.h> using namespace std; struct Edge { int f, t, w, id; bool operator<(const Edge& r) const { return w < r.w; } }; Edge es[1111111]; int dsu[1111]; int dr[1111]; int pl[1111]; int pr[1111]; void init(int n) { for (int i = 0; i < n; i++) { dsu[i] = i; dr[i] = 0; pl[i] = i; pr[i] = -1; } } int get(int x) { return dsu[x] == x ? x : dsu[x] = get(dsu[x]); } void unite(int x, int y) { x = get(x); y = get(y); if (x == y) { return; } if (dr[x] < dr[y]) { dsu[x] = y; } else { dsu[y] = x; if (dr[x] == dr[y]) { dr[x]++; } } } int main() { int n, m, q; scanf("%d%d%d", &n, &m, &q); for (int i = 0; i < m; i++) { int x, y, z; scanf("%d%d%d", &x, &y, &z); --x; --y; es[i] = Edge{x, y, z, i}; } sort(es, es + m); while (q-- > 0) { init(n); for (int i = 0; i < n; i++) { pl[i] = i; pr[i] = -1; } int l, r; scanf("%d%d", &l, &r); --l; --r; int res = -1; for (int i = m - 1; i >= 0; i--) { Edge& e = es[i]; if (e.id < l || e.id > r) { continue; } int xx = get(e.f); int yy = get(e.t); if (xx == yy) { res = e.w; break; } if (pr[xx] != -1) { unite(pr[xx], yy); } if (pr[yy] != -1) { unite(pr[yy], xx); } pr[xx] = yy; pr[yy] = xx; } printf("%d\n", res); } return 0; }
#include <bits/stdc++.h> using namespace std; int N, M, Q; pair<pair<int, int>, pair<int, int> > E[1000005]; int par[2005]; int find_parent(int x) { if (par[x] == x) return x; return par[x] = find_parent(par[x]); } int go(int li, int ri) { for (int i = 1; i <= 2 * N + 1; i++) par[i] = i; for (int i = M - 1; i >= 0; i--) if (li <= E[i].first.second && E[i].first.second <= ri) { int a = E[i].second.first, b = E[i].second.second; if (find_parent(2 * a) == find_parent(2 * b)) return E[i].first.first; par[find_parent(2 * a)] = find_parent(2 * b + 1); par[find_parent(2 * a + 1)] = find_parent(2 * b); } return -1; } int main() { scanf("%d %d %d", &N, &M, &Q); for (int i = 0; i < M; i++) { scanf("%d %d %d", &E[i].second.first, &E[i].second.second, &E[i].first.first); E[i].first.second = i + 1; } sort(E, E + M); for (int i = 0, li, ri; i < Q; i++) { scanf("%d %d", &li, &ri); printf("%d\n", go(li, ri)); } return 0; }
#include <bits/stdc++.h> using namespace std; const int INF = 0x3f3f3f3f, MOD = 1e9 + 7; const int N = 1e3 + 1000, n_ = 2e3 + 3000; long long gcd(long long a, long long b) { return (a ? gcd(b % a, a) : b); } long long power(long long a, long long n) { long long p = 1; while (n > 0) { if (n % 2) { p = p * a; } n >>= 1; a *= a; } return p; } long long power(long long a, long long n, long long mod) { long long p = 1; while (n > 0) { if (n % 2) { p = p * a; p %= mod; } n >>= 1; a *= a; a %= mod; } return p % mod; } int n, m, q, par[n_]; vector<pair<pair<int, int>, pair<int, int> > > e; void rm() { for (int i = 0; i < n_; i++) { par[i] = i; } } int find(int u) { return par[u] = (par[u] == u ? u : find(par[u])); } int merge(int u, int v) { int fu = find(u), fv = find(v); if (fv == fu) return 0; par[fv] = find(u + N); par[fu] = find(v + N); return 1; } int main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); cin >> n >> m >> q; for (int i = 0; i < m; i++) { int u, v, w; pair<pair<int, int>, pair<int, int> > tmp; cin >> u >> v >> w; u--, v--; tmp.second.first = u, tmp.second.second = v, tmp.first.first = w, tmp.first.second = i; e.push_back(tmp); } sort((e).begin(), (e).end()); while (q--) { int l, r, ans = -1; cin >> l >> r; l--; rm(); for (int i = m - 1; i >= 0; i--) { if (e[i].first.second >= l && e[i].first.second < r && !merge(e[i].second.first, e[i].second.second)) { ans = e[i].first.first; break; } } cout << ans << "\n"; } return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 501 * 1001; vector<pair<pair<int, int>, pair<int, int> > > yal; int par[MAXN] = {}, col[MAXN] = {}, mark[MAXN] = {}; int root(int x) { if (par[x] < 0) { return x; } int p = root(par[x]); col[x] ^= col[par[x]]; return par[x] = p; } int main() { int n, q, m, l, r; scanf("%d%d%d", &n, &m, &q); int x, y, z; for (int i = 0; i < m; i++) scanf("%d%d%d", &x, &y, &z), yal.push_back({{z, i}, {x, y}}); sort(yal.rbegin(), yal.rend()); for (int i = 0; i < q; i++) { scanf("%d%d", &l, &r); for (int i = 1; i <= n; i++) par[i] = -1, col[i] = 0, mark[i] = 0; bool f = 1; for (int j = 0; j < m && f; j++) { if (yal[j].first.second >= l - 1 && yal[j].first.second < r) { x = yal[j].second.first, y = yal[j].second.second; if (root(x) == root(y)) { if (col[x] == col[y]) printf("%d\n", yal[j].first.first), f = 0; } else { bool ff = 0; if (col[x] == col[y]) ff = 1; x = root(x); y = root(y); if (par[y] < par[x]) swap(x, y); par[x] += par[y]; if (ff) { mark[y] = 1; col[y] = 1; } par[y] = x; } } } if (f) puts("-1"); } }
#include <bits/stdc++.h> using namespace std; const int N = 1005; const int M = N * N; int n, m, q; struct Edge { int u, v, w, id; void read(int id) { scanf("%d%d%d", &u, &v, &w); u--; v--; this->id = id; } bool operator<(const Edge& c) const { return w > c.w; } } e[M]; int parent[N * 2]; int find(int x) { if (x == parent[x]) return x; return parent[x] = find(parent[x]); } int gao(int l, int r) { for (int i = 0; i < n * 2; i++) parent[i] = i; for (int i = 1; i <= m; i++) { if (e[i].id < l || e[i].id > r) continue; int pu = find(e[i].u * 2), pv = find(e[i].v * 2 + 1); if (pu != pv) { parent[pu] = pv; parent[find(e[i].u * 2 + 1)] = find(e[i].v * 2); } if (find(e[i].u * 2) == find(e[i].u * 2 + 1)) return e[i].w; if (find(e[i].v * 2) == find(e[i].v * 2 + 1)) return e[i].w; } return -1; } int main() { scanf("%d%d%d", &n, &m, &q); for (int i = 1; i <= m; i++) e[i].read(i); sort(e + 1, e + 1 + m); int l, r; while (q--) { scanf("%d%d", &l, &r); printf("%d\n", gao(l, r)); } return 0; }
#include <bits/stdc++.h> using namespace std; const int M = 1005; int parent[2 * M]; vector<pair<pair<int, int>, pair<int, int> > > edges; void init() { for (int i = 0; i < 2 * M; i++) parent[i] = i; } int find(int u) { if (u == parent[u]) return u; return parent[u] = find(parent[u]); } void un(int u, int v) { u = find(u); v = find(v); parent[u] = v; } int main() { int n, m, q; scanf("%d %d %d", &n, &m, &q); for (int i = 1; i <= m; i++) { int a, b, c; scanf("%d %d %d", &a, &b, &c); edges.push_back(make_pair(make_pair(c, i), make_pair(a, b))); } sort(edges.begin(), edges.end(), greater<pair<pair<int, int>, pair<int, int> > >()); while (q--) { int l, r; scanf("%d %d", &l, &r); int ans = -1; init(); for (int i = 0; i < edges.size(); i++) { int c = edges[i].first.first; int id = edges[i].first.second; int u = edges[i].second.first; int v = edges[i].second.second; if (id < l || id > r) continue; if (find(u) == find(v)) { ans = c; break; } un(u, v + n); un(u + n, v); } printf("%d\n", ans); } return 0; }
#include <bits/stdc++.h> using namespace std; const signed long long INF = 10000001000LL; const long double EPS = 4e-10; struct trzy { int first, b, second, d; trzy() {} trzy(int first, int b, int second, int d) : first(first), b(b), second(second), d(d){}; bool operator<(const trzy& inny) const { return second < inny.second; } }; int n, m, q; vector<trzy> V; void read_data() { scanf("%d%d%d", &n, &m, &q); for (int i = 0; i < m; i++) { int first, b, second; scanf("%d%d%d", &first, &b, &second); V.push_back(trzy(first, b, second, i + 1)); } } inline pair<int, int>& FIND(int v, vector<pair<int, int> >& V) { if (v == V[v].first) return V[v]; pair<int, int>& korzen = FIND(V[v].first, V); V[v].second ^= V[V[v].first].second; V[v].first = korzen.first; return V[korzen.first]; } int UNION(int v, int w, vector<pair<int, int> >& V) { pair<int, int>&korzenv = FIND(v, V), &korzenw = FIND(w, V), &aktv = V[v], &aktw = V[w]; if (korzenv.first == korzenw.first) { if ((aktw.second ^ aktv.second) == 0) return -1; return 0; } int odl = 1 ^ (aktw.second ^ aktv.second); korzenv.first = korzenw.first; korzenv.second = odl; return 0; } void test(vector<trzy>& Akt) { vector<pair<int, int> > V(n + 1); for (int i = 0; i <= n; i++) V[i].first = i, V[i].second = 0; for (auto& el : Akt) { int pom = UNION(el.first, el.b, V); if (pom == -1) { printf("%d\n", el.second); return; } } printf("-1\n"); return; } vector<trzy> Akt; void solve() { Akt.reserve(1000005); sort(V.begin(), V.end()); for (int i = 0; i < q; i++) { Akt.clear(); int first, b; scanf("%d%d", &first, &b); Akt.resize(b - first + 1); int nr = 0; for (int i = m - 1; i >= 0; i--) { if (V[i].d >= first and V[i].d <= b) { Akt[nr] = V[i]; nr++; } } test(Akt); } } int main() { ios_base::sync_with_stdio(false); read_data(); solve(); }
#include <bits/stdc++.h> using namespace std; const int MAX_N = 1000 + 10; const int MAX_M = 1000000 + 10; int n, m, q; vector<pair<int, int> > e1; int M[MAX_M][3]; int mark[MAX_N]; int par[MAX_N]; int size[MAX_N]; int l, r; int findPar(int u) { if (par[u] == par[par[u]]) return par[u]; int parent = par[u]; par[u] = findPar(par[u]); mark[u] *= mark[parent]; return par[u]; } int findSet(int u) { findPar(u); if (u == par[u]) { return mark[u]; } return mark[u] * mark[par[u]]; } void solve() { for (int i = e1.size() - 1; i >= 0; i--) if (e1[i].second <= r && e1[i].second >= l) { int index = e1[i].second; int u = M[index][0]; int v = M[index][1]; int w = e1[i].first; int uPar = findPar(u); int vPar = findPar(v); if (uPar == vPar) { if (findSet(u) == findSet(v)) { cout << w << endl; return; } } else { if (size[uPar] > size[vPar]) { if (findSet(u) == findSet(v)) { mark[vPar] *= -1; } par[vPar] = uPar; } else { if (findSet(u) == findSet(v)) { mark[uPar] *= -1; } par[uPar] = vPar; } } } cout << -1 << endl; return; } void read() { scanf("%d%d%d", &n, &m, &q); for (int i = 1; i <= m; i++) { scanf("%d%d%d", &M[i][0], &M[i][1], &M[i][2]); e1.push_back(pair<int, int>(M[i][2], i)); } sort(e1.begin(), e1.end()); for (int i = 1; i <= q; i++) { scanf("%d%d", &l, &r); for (int j = 1; j <= n; j++) { mark[j] = 1; par[j] = j; size[j] = 1; } solve(); } } int main() { read(); }
#include <bits/stdc++.h> using namespace std; void ga(int N, int *A) { for (int i(0); i < N; i++) scanf("%d", A + i); } struct DSU { int C[(1001)], G[(1001)]; vector<int> V[(1001)]; void con(int u, int v) { int b = G[u] == G[v], x; u = C[u], v = C[v]; if (V[u].size() < V[v].size()) swap(u, v); while (!V[v].empty()) x = V[v].back(), V[v].pop_back(), G[x] ^= b, C[x] = u, V[u].push_back(x); } void ini(int N) { for (int i(0); i < N; i++) V[i].clear(), G[i] = 0, C[i] = i, V[i].push_back(i); } int gc(int u) { return C[u]; } int gp(int u) { return G[u]; } } D; struct bs { long long A[(7805)]; void clr() { (memset(A, 0, sizeof(A))); } void tr(int H) { for (int i(0); i < H >> 6; i++) A[i] = -1; for (int k(H - (H & 63)); k < H; k++) ad(k); } bool is(bs &r) { for (int i(0); i < (7805); i++) if (A[i] & r.A[i]) return 1; return 0; } void operator|=(bs &r) { for (int i(0); i < (7805); i++) A[i] |= r.A[i]; } void operator&=(bs &r) { for (int i(0); i < (7805); i++) A[i] &= r.A[i]; } void operator^=(bs &r) { for (int i(0); i < (7805); i++) A[i] ^= r.A[i]; } void ad(int u) { A[u >> 6] |= 1ull << (u & 63); } void cg(int u) { A[u >> 6] ^= 1ull << (u & 63); } bool ct(int v) { return (A[v >> 6] >> (v & 63)) & 1; } int bt() { int l(0); for (int i(0); i < (7805); i++) l += __builtin_popcountll(A[i]); return l; } int xt(int u) { while (++u & 63) if ((A[u >> 6] >> (u & 63)) & 1) return u; while (u < (7805) << 6 && !A[u >> 6]) ++u; if (u == (7805) << 6) return -1; while (!ct(u)) ++u; return u; } } Z; int M, N, Q, a, b, O[(1001)], B[(499501)], E[(499501)], W[(499501)], H[(499501)], I[(499501)]; struct MOQ { int b, e, i; bool operator<(const MOQ &r) const { return b / (666) ^ r.b / (666) ? b / (666) < r.b / (666) : e < r.e; } }; struct MO { MOQ T[(1001)]; int C[(1001)], L, b, e; void CLR() { L = 0; } void QY(int b, int e) { T[L] = {min(b, e), max(b, e), L}; ++L; } void GO(int *O) { (memset(C, 0, sizeof(C))), st(); sort(T, T + L), b = T[0].b - 1, e = T[0].b - 1; for (int i(0); i < L; i++) { while (b >= T[i].b) add(b--); while (e < T[i].e) add(++e); while (b + 1 < T[i].b) del(++b); while (e > T[i].e) del(e--); O[T[i].i] = ans(); } } void add(int w) { Z.cg(I[w]); } void del(int w) { Z.cg(I[w]); } int ans() { D.ini(N); int J = -1, x, y; while (666) { J = Z.xt(J); if (!~J) return -1; x = B[H[J]], y = E[H[J]]; if (D.gc(x) == D.gc(y)) { if (D.gp(x) == D.gp(y)) return W[H[J]]; continue; } D.con(x, y); } } void st() { Z.clr(); } } T; bool cp(int a, int b) { return W[a] > W[b]; } int main(void) { scanf("%d%d%d", &N, &M, &Q), iota(H, H + M, 0), T.CLR(); for (int i(0); i < M; i++) scanf("%d%d%d", B + i, E + i, W + i), --B[i], --E[i]; sort(H, H + M, cp); for (int i(0); i < M; i++) I[H[i]] = i; for (int i(0); i < Q; i++) scanf("%d%d", &a, &b), T.QY(--a, --b); T.GO(O); for (int i(0); i < Q; i++) printf("%d\n", O[i]); return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; using ld = long double; using ii = pair<ll, ll>; using vi = vector<ll>; using vb = vector<bool>; using vvi = vector<vi>; using vii = vector<ii>; using vvii = vector<vii>; const int INF = 2000000000; const ll LLINF = 9000000000000000000; constexpr size_t NMAX = 1000; constexpr size_t MMAX = 1000000; constexpr size_t TMAX = 2000000; template <class T> struct resettable_vector { vector<T> val, def; vi time; int cur = 0; resettable_vector(int n, T d) { val.assign(n, d); def.assign(n, d); time.assign(n, cur = 0); } T get(int i) { return time[i] == cur ? val[i] : def[i]; } void set(int i, T v) { val[i] = v; time[i] = cur; } void set_default(int i, T v) { def[i] = v; } void reset() { ++cur; } }; struct AdvancedUnionFind { int n, c; bool bipartite = true; resettable_vector<int> par, rank, size; resettable_vector<bool> sign; AdvancedUnionFind(int _n) : n(_n), c(n), par(n, 0), rank(n, 0), size(n, 1), sign(n, false) { for (int i = 0; i < n; ++i) par.set(i, i), par.set_default(i, i); } int find(int i) { if (par.get(i) == i) return i; int p = find(par.get(i)); if (par.get(i) != p && sign.get(par.get(i))) sign.set(i, !sign.get(i)); par.set(i, p); return p; } bool same(int i, int j) { return find(i) == find(j); } bool sign_of(int u, int pu = -1) { if (pu == -1) pu = find(u); bool su = sign.get(u); if (u != pu && sign.get(pu)) su = !su; return su; } void merge(int i, int j, bool diff = true) { int pi = find(i), pj = find(j); if (pi == pj) { bool si = sign_of(i, pi), sj = sign_of(j, pj); if (si == sj && diff) bipartite = false; if (si != sj && !diff) bipartite = false; } c--; if (rank.get(pi) > rank.get(pj)) swap(i, j), swap(pi, pj); bool si = sign_of(i, pi), sj = sign_of(j, pj); if ((si == sj && diff) || (si != sj && !diff)) sign.set(pi, !sign.get(pi)); par.set(pi, pj); size.set(pj, size.get(pj) + size.get(pi)); if (rank.get(pi) == rank.get(pj)) rank.set(pj, rank.get(pj) + 1); } void reset() { par.reset(); rank.reset(); size.reset(); sign.reset(); bipartite = true; c = n; } }; int n, m, q; vector<pair<ii, ll>> E; constexpr int SZ = 1e6; vb sign; AdvancedUnionFind uf(NMAX); vector<pair<ll, vi>> ans(SZ, {-2LL, vi()}); map<ii, int> cache; void combine_into(pair<ll, vi> &lv, pair<ll, vi> &rv, pair<ll, vi> &o) { uf.reset(); size_t lx = 0, rx = 0; while (lx < lv.second.size() || rx < rv.second.size()) { int i = (lx < lv.second.size() ? lv.second[lx] : rv.second[rx]); if (rx < rv.second.size() && E[i].second <= E[rv.second[rx]].second) { i = rv.second[rx]; ++rx; } else ++lx; int u = E[i].first.first, v = E[i].first.second; int pu = uf.find(u), pv = uf.find(v); if (pu == pv && uf.sign_of(u, pu) != uf.sign_of(v, pv)) continue; o.second.push_back(i); if (pu != pv) uf.merge(u, v); else { o.first = E[i].second; break; } } } void ptup(pair<ll, vi> &v) { cerr << "{" << v.first << ","; for (ll w : v.second) cerr << " ((" << E[w].first.first << "," << E[w].first.second << ")," << E[w].second << ")"; cerr << "}"; } int solve(int l, int r) { auto it = cache.find({l, r}); if (it != cache.end()) return it->second; cache.insert({{l, r}, cache.size()}); int id = cache.size() - 1; ans[id].first = -1LL; int lid = solve(l, (l + r) / 2), rid = solve((l + r) / 2 + 1, r); combine_into(ans[lid], ans[rid], ans[id]); return id; } void accumulate(int l, int r, int L, int R, vi &res) { if (r < L || R < l) return; if (l <= L && R <= r) res.push_back(solve(L, R)); else { accumulate(l, r, L, (L + R) / 2, res); accumulate(l, r, (L + R) / 2 + 1, R, res); } } ll query(int l, int r) { vi res; accumulate(l, r, 0, m - 1, res); vector<pair<ll, vi>> resa(2, {-1LL, vi()}); for (size_t i = 0; i < res.size(); ++i) { resa[i & 1].second.clear(); combine_into(resa[(i & 1) ^ 1], ans[res[i]], resa[i & 1]); } return resa[(1 & res.size()) ^ 1].first; } int main() { scanf("%d %d %d", &n, &m, &q); E.assign(m, {{-1, -1}, 0LL}); for (int i = 0; i < m; ++i) { int u, v, w; scanf("%d %d %d", &u, &v, &w); E[i] = {{u - 1, v - 1}, ll(w)}; ans[cache.size()] = {-1LL, vi{i}}; cache.insert({{i, i}, cache.size()}); } while (q--) { int l, r; scanf("%d %d", &l, &r); cout << query(l - 1, r - 1) << '\n'; } return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; using ld = long double; using ii = pair<ll, ll>; using vi = vector<ll>; using vb = vector<bool>; using vvi = vector<vi>; using vii = vector<ii>; using vvii = vector<vii>; const int INF = 2000000000; const ll LLINF = 9000000000000000000; constexpr size_t NMAX = 1000; constexpr size_t MMAX = 1000000; constexpr size_t TMAX = 2000000; template <class T> struct res_vector { vector<T> v, d; int time = 0; vi t; res_vector(int n, T _d) { v.assign(n, _d); d.assign(n, _d); t.assign(n, 0); } T get(int i) { return t[i] == time ? v[i] : d[i]; } void set(int i, T _v) { t[i] = time; v[i] = _v; } void setdef(int i, T _v) { d[i] = _v; } void reset() { ++time; } }; struct UnionFind { bool consistent = true; int n, c; res_vector<int> par, rank, size; res_vector<bool> sign; UnionFind(int _n) : n(_n), c(n), par(n, 0), rank(n, 0), size(n, 1), sign(n, false) { for (int i = 0; i < n; ++i) par.set(i, i), par.setdef(i, i); } int find(int i) { if (par.get(i) == i) return i; int p = find(par.get(i)); if (par.get(i) != p && sign.get(par.get(i))) { sign.set(i, !sign.get(i)); } par.set(i, p); return p; } bool same(int i, int j) { return find(i) == find(j); } bool sign_of(int u, int pu) { bool su = sign.get(u); if (u != pu && sign.get(pu)) su = !su; return su; } void reset() { par.reset(); rank.reset(); size.reset(); sign.reset(); c = n; } void merge(int i, int j, bool diff = true) { int pi = find(i), pj = find(j); if (pi == pj) { bool si = sign_of(i, pi), sj = sign_of(j, pj); if (si == sj && diff) consistent = false; if (si != sj && !diff) consistent = false; } c--; if (rank.get(pi) > rank.get(pj)) swap(i, j), swap(pi, pj); bool si = sign_of(i, pi), sj = sign_of(j, pj); if ((si == sj && diff) || (si != sj && !diff)) { sign.set(pi, !sign.get(pi)); } par.set(pi, pj); size.set(pj, size.get(pj) + size.get(pi)); if (rank.get(pi) == rank.get(pj)) rank.set(pj, rank.get(pj) + 1); } }; int n, m, q; vector<pair<ii, ll>> E; constexpr int SZ = 1e6; vb sign; UnionFind uf(NMAX); vector<pair<ll, vi>> ans(SZ, {-2LL, vi()}); map<ii, int> cache; void combine_into(pair<ll, vi> &lv, pair<ll, vi> &rv, pair<ll, vi> &o) { uf.reset(); size_t lx = 0, rx = 0; while (lx < lv.second.size() || rx < rv.second.size()) { int i = (lx < lv.second.size() ? lv.second[lx] : rv.second[rx]); if (rx < rv.second.size() && E[i].second <= E[rv.second[rx]].second) { i = rv.second[rx]; ++rx; } else ++lx; int u = E[i].first.first, v = E[i].first.second; int pu = uf.find(u), pv = uf.find(v); if (pu == pv && uf.sign_of(u, pu) != uf.sign_of(v, pv)) continue; o.second.push_back(i); if (pu != pv) uf.merge(u, v); else { o.first = E[i].second; break; } } } void ptup(pair<ll, vi> &v) { cerr << "{" << v.first << ","; for (ll w : v.second) cerr << " ((" << E[w].first.first << "," << E[w].first.second << ")," << E[w].second << ")"; cerr << "}"; } int solve(int l, int r) { auto it = cache.find({l, r}); if (it != cache.end()) return it->second; cache.insert({{l, r}, cache.size()}); int id = cache.size() - 1; ans[id].first = -1LL; int lid = solve(l, (l + r) / 2), rid = solve((l + r) / 2 + 1, r); combine_into(ans[lid], ans[rid], ans[id]); return id; } void accumulate(int l, int r, int L, int R, vi &res) { if (r < L || R < l) return; if (l <= L && R <= r) res.push_back(solve(L, R)); else { accumulate(l, r, L, (L + R) / 2, res); accumulate(l, r, (L + R) / 2 + 1, R, res); } } ll query(int l, int r) { vi res; accumulate(l, r, 0, m - 1, res); vector<pair<ll, vi>> resa(2, {-1LL, vi()}); for (size_t i = 0; i < res.size(); ++i) { resa[i & 1].second.clear(); combine_into(resa[(i & 1) ^ 1], ans[res[i]], resa[i & 1]); } return resa[(1 & res.size()) ^ 1].first; } int main() { scanf("%d %d %d", &n, &m, &q); E.assign(m, {{-1, -1}, 0LL}); for (int i = 0; i < m; ++i) { int u, v, w; scanf("%d %d %d", &u, &v, &w); E[i] = {{u - 1, v - 1}, ll(w)}; ans[cache.size()] = {-1LL, vi{i}}; cache.insert({{i, i}, cache.size()}); } while (q--) { int l, r; scanf("%d %d", &l, &r); cout << query(l - 1, r - 1) << '\n'; } return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 1010, d = 0; int N, Q, M, uf[MAXN * 2]; void init() { for (int i = 1; i <= 2 * N; ++i) { uf[i] = -1; } } int find(int n) { if (uf[n] < 0) { return n; } else { uf[n] = find(uf[n]); return uf[n]; } } void merge(int a, int b) { int pa = find(a); int pb = find(b); if (pa == pb) { return; } else if (uf[pa] == uf[pb]) { uf[pa]--; uf[pb] = pa; } else if (uf[pa] < uf[pb]) { uf[pb] = pa; } else { uf[pa] = pb; } } pair<pair<int, int>, pair<int, int> > edges[MAXN * (MAXN - 1) / 2]; int counterpart[MAXN * 2]; void reset() { init(); for (int i = 1; i <= 2 * N; ++i) { counterpart[i] = -1; } } void print_uf() { for (int i = 1; i <= 2 * N; ++i) { printf("\t%d belongs to group %d with counterpart %d\n", i, find(i), counterpart[find(i)]); } } int main() { scanf("%d %d %d", &N, &M, &Q); for (int i = 0; i < M; ++i) { int a, b, c; scanf("%d %d %d", &a, &b, &c); edges[i] = make_pair(make_pair(c, i + 1), make_pair(a, b)); } sort(edges, edges + M); for (int i = 0; i < Q; ++i) { int l, r; scanf("%d %d", &l, &r); reset(); int answer = -1; for (int j = M - 1; j >= 0; --j) { if (edges[j].first.second < l or edges[j].first.second > r) { continue; } int a = edges[j].second.first; int b = edges[j].second.second; int pa = find(a); int pb = find(b); if (counterpart[pa] < 0) { counterpart[pa] = N + pa; counterpart[N + pa] = pa; } if (counterpart[pb] < 0) { counterpart[pb] = N + pb; counterpart[N + pb] = pb; } if (pb == pa) { answer = edges[j].first.first; break; } else { merge(pb, counterpart[pa]); merge(pa, counterpart[pb]); } } printf("%d\n", answer); } return 0; }
#include <bits/stdc++.h> using namespace std; int id[510000]; int st[510000], en[510000], w[510000], f[1100], pos[1100]; bool cmp(int i, int j) { return w[i] < w[j]; } int Fa(int x) { if (f[x] == x) return x; return f[x] = Fa(f[x]); } int n, m; vector<int> root[1100]; int calc(int L, int R) { for (int i = 1; i <= n; i++) f[i] = i, pos[i] = 0, root[i].clear(), root[i].push_back(i); ; for (int i = m; i; i--) { int j = id[i]; if (j < L || j > R) continue; int x = st[j]; int y = en[j]; int in = (pos[x] == pos[y]); int xx = Fa(x); int yy = Fa(y); if (xx == yy) { if (pos[x] == pos[y]) return w[j]; continue; } x = xx; y = yy; if (root[x].size() < root[y].size()) swap(x, y); for (int k = 0; k < root[y].size(); k++) { int aa = root[y][k]; root[x].push_back(aa); pos[aa] ^= in; } root[y].clear(); f[y] = x; } return -1; } int main() { int L, R, Q; scanf("%d%d%d", &n, &m, &Q); for (int i = 1; i <= m; i++) { scanf("%d%d%d", &st[i], &en[i], &w[i]); } for (int i = 1; i <= m; i++) id[i] = i; sort(id + 1, id + m + 1, cmp); int cnt = 0; for (int i = 1; i <= Q; i++) { scanf("%d%d", &L, &R); printf("%d\n", calc(L, R)); } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1005, M = (1 << 20) + 105, S = 1e4 + 4, B = 505, mod = 0; int n, res[M], m, q, fr[M], to[M], ln[M]; pair<int, int> sr[M]; struct dsu { int par[N], h[N], dead; vector<int> comp[N]; dsu(int x = 0) { for (int i = 0; i < N; ++i) par[i] = i, comp[i].push_back(i), h[i] = 0; dead = 0; } bool add(int e) { int u = fr[e], v = to[e]; if (par[u] == par[v] && (h[u] ^ h[v]) == 0) { dead = 1; return 0; } if (par[u] != par[v]) { if (comp[par[u]].size() > comp[par[v]].size()) swap(u, v); int c = h[u], pp = par[u]; for (int x : comp[pp]) { par[x] = par[v]; h[x] = (c ^ h[v] ^ h[x] ^ 1); comp[par[v]].push_back(x); } comp[pp].clear(); return 1; } return 0; } }; vector<int> contain[M]; int ql[N], qr[N]; dsu qd[N], block[B]; int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); memset(res, -1, sizeof res); cin >> n >> m >> q; for (int i = 0; i < B; ++i) block[i] = dsu(); for (int i = 0; i < m; ++i) { cin >> fr[i] >> to[i] >> ln[i]; fr[i]--; to[i]--; sr[i] = make_pair(ln[i], i); } for (int i = 0; i < q; ++i) { qd[i] = dsu(); cin >> ql[i] >> qr[i]; ql[i]--; for (int j = ql[i]; j < min(qr[i], ((ql[i] - 1) / S + 1) * S); ++j) if (j < m) contain[j].push_back(i); for (int j = max((qr[i] / S) * S, ql[i]); j < qr[i]; ++j) if (j < m) contain[j].push_back(i); } sort(sr, sr + m); reverse(sr, sr + m); for (int pp = 0; pp < m; ++pp) { int e = sr[pp].second; for (auto x : contain[e]) if (!qd[x].dead) { qd[x].add(e); if (qd[x].dead) res[x] = sr[pp].first; } int bl = e / S; if (!block[bl].dead) { int flag = block[bl].add(e); flag |= block[bl].dead; if (flag) { int xl = bl * S, xr = (bl + 1) * S; for (int x = 0; x < q; ++x) if (!qd[x].dead) { if (ql[x] <= xl && xr <= qr[x]) { qd[x].add(e); if (qd[x].dead) res[x] = sr[pp].first; } } } } } for (int i = 0; i < q; ++i) cout << res[i] << '\n'; }
#include <bits/stdc++.h> using namespace std; const int N = (int)5e5 + 4; const int inf = (int)1e9 + 7; const long double eps = 1e-7; const int K = 12; const int M = 1001; struct edge { int a, b, w, n; edge() { a = 0, b = 0, w = 0, n = 0; } edge(int a, int b, int w, int n) : a(a), b(b), w(w), n(n) {} bool operator<(const edge &a) const { return w > a.w; } }; edge e[N]; pair<int, int> p[M]; int sz[M]; void make_set(int v) { p[v] = make_pair(v, 0); sz[v] = 1; } inline pair<int, int> find(int v) { if (p[v].first == v) { return make_pair(v, 0); } int s = p[v].second; p[v] = find(p[v].first); p[v].second ^= s; return p[v]; } bool unite(int v, int u) { int a = find(v).first; int b = find(u).first; if (a == b) { return p[v].second ^ p[u].second; } if (sz[a] > sz[b]) { swap(a, b); } sz[b] += sz[a]; p[a] = make_pair(b, p[v].second ^ p[u].second ^ 1); return true; } int main() { int n, m, q; scanf("%d%d%d", &n, &m, &q); for (int i = 0; i < m; ++i) { scanf("%d%d%d", &e[i].a, &e[i].b, &e[i].w); --e[i].a, --e[i].b; e[i].n = i + 1; } sort(e, e + m); for (int i = 0; i < q; ++i) { int l, r; scanf("%d%d", &l, &r); bool f = 0; for (int j = 0; j < n; ++j) { make_set(j); } for (int j = 0; j < m; ++j) { if (e[j].n >= l && e[j].n <= r) { if (!unite(e[j].a, e[j].b)) { printf("%d\n", e[j].w); f = 1; break; } } } if (!f) { printf("-1\n"); } } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1000, M = N * (N - 1) / 2; int dsu[N * 2]; int find(int i) { return dsu[i] < 0 ? i : (dsu[i] = find(dsu[i])); } bool join(int i, int j) { i = find(i); j = find(j); if (i == j) return false; if (dsu[i] > dsu[j]) dsu[i] = j; else { if (dsu[i] == dsu[j]) dsu[i]--; dsu[j] = i; } return true; } int main() { int n, m, q; scanf("%d%d%d", &n, &m, &q); static int ii[M], jj[M], ww[M], hh[M]; for (int h = 0; h < m; h++) { int i, j, w; scanf("%d%d%d", &i, &j, &w), i--, j--; ii[h] = i; jj[h] = j; ww[h] = w; hh[h] = h; } sort(hh, hh + m, [](int a, int b) { return ww[a] > ww[b]; }); while (q-- > 0) { int l, r; scanf("%d%d", &l, &r), l--, r--; fill_n(dsu, n * 2, -1); int w = -1; for (int h = 0; h < m; h++) { int h_ = hh[h]; if (l <= h_ && h_ <= r) { int i = ii[h_]; int j = jj[h_]; int i0 = i << 1, i1 = i0 | 1; int j0 = j << 1, j1 = j0 | 1; if (join(i0, j1) && !join(i1, j0)) { w = ww[h_]; break; } } } printf("%d\n", w); } }
#include <bits/stdc++.h> using namespace std; const int NMAX = 1111; int p[NMAX << 1]; int rnk[NMAX << 1]; int find(int u) { return p[u] == u ? u : p[u] = find(p[u]); } void uni(int u, int v) { u = find(u), v = find(v); if (u == v) return; if (rnk[v] < rnk[u]) swap(v, u); p[u] = v; rnk[v] = max(rnk[v], rnk[u] + 1); } struct edge { int w, a, b, x; const bool operator<(const edge& other) const { return w > other.w; } }; int main() { int N, M, Q; scanf("%d%d%d", &N, &M, &Q); vector<edge> v; for (int i = 1; i <= M; i++) { int a, b, w; scanf("%d%d%d", &a, &b, &w); v.push_back({w, a, b, i}); } sort(v.begin(), v.end()); while (Q--) { int l, r; scanf("%d%d", &l, &r); for (int i = 1; i <= 2 * N; i++) p[i] = i, rnk[i] = 0; bool ok = false; for (int i = 0; i < M; i++) { const auto& e = v[i]; if (l <= e.x && e.x <= r) { if (find(e.a) == find(e.b)) { printf("%d\n", e.w); ok = true; break; } uni(e.a, e.b + N); uni(e.b, e.a + N); } } if (!ok) printf("-1\n"); } }
#include <bits/stdc++.h> using namespace std; struct road { int start, end, len, id; } rd[500005]; int fa[2005]; inline bool cmp(road x, road y) { return x.len > y.len; } inline int getf(int x) { if (fa[x] == x) return fa[x]; return fa[x] = getf(fa[x]); } inline void con(int x, int y) { int f1, f2; f1 = getf(x), f2 = getf(y); if (f1 != f2) fa[f1] = f2; } long long read() { long long ret = 0, f = 1; char c = getchar(); while (!isdigit(c)) f = c == '-' ? -1 : 1, c = getchar(); while (isdigit(c)) ret = ret * 10 + c - '0', c = getchar(); return ret * f; } int main() { register int n, m, q; n = read(), m = read(), q = read(); for (register int i = 1; i <= m; i++) { rd[i].start = read(); rd[i].end = read(); rd[i].len = read(); rd[i].id = i; } sort(rd + 1, rd + 1 + m, cmp); while (q--) { register int ans = -1, l, r; l = read(), r = read(); for (register int i = 1; i <= n * 2; i++) { fa[i] = i; } for (register int i = 1; i <= m; i++) { if (rd[i].id >= l && rd[i].id <= r) { if (getf(rd[i].start) == getf(rd[i].end)) { ans = rd[i].len; break; } else { con(rd[i].start + n, rd[i].end); con(rd[i].start, rd[i].end + n); } } } printf("%d\n", ans); } return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 2e3 + 5; const int maxm = 1e6 + 5; int ufs[maxn], n, m; struct edg { int u, v, w; int id; edg(int u = 0, int v = 0, int w = 0, int id = 0) : u(u), v(v), w(w), id(id) {} }; bool cmp(edg a1, edg b1) { return a1.w > b1.w; } edg a[maxm]; int q; inline void init() { for (int i = 1; i <= n * 2; i++) { ufs[i] = i; } } int find(int u) { if (ufs[u] == u) return u; return ufs[u] = find(ufs[u]); } void join(int u, int v) { ufs[find(u)] = find(v); } void debug() { cout << "print edg" << endl; for (int i = 1; i <= m; i++) { cout << a[i].u << ' ' << a[i].v << ' ' << a[i].w << ' ' << a[i].id << endl; } cout << "print edg end" << endl; } void printu() { cout << "print ufs" << endl; for (int i = 1; i <= n * 2; i++) { cout << ufs[i] << ' '; } cout << endl; } int main() { cin >> n >> m >> q; for (int i = 1; i <= m; i++) { scanf("%d%d%d", &a[i].u, &a[i].v, &a[i].w); a[i].id = i; } sort(a + 1, a + m + 1, cmp); while (q--) { int l, r; init(); int ans = -1; scanf("%d%d", &l, &r); for (int i = 1; i <= m; i++) { if (a[i].id >= l && a[i].id <= r) { int u = a[i].u, v = a[i].v; if (find(u) == find(v)) { ans = a[i].w; break; } else { join(u + n, v); join(u, v + n); } } } cout << ans << endl; } }
#include <bits/stdc++.h> using namespace std; struct road { int start, end, len, id; } rd[500005]; int fa[2005]; bool cmp(road x, road y) { return x.len > y.len; } inline int getf(int x) { if (fa[x] == x) return fa[x]; return fa[x] = getf(fa[x]); } inline void con(int x, int y) { int f1, f2; f1 = getf(x), f2 = getf(y); if (f1 != f2) fa[f1] = f2; } int main() { int n, m, q; cin >> n >> m >> q; for (int i = 1; i <= m; i++) { cin >> rd[i].start >> rd[i].end >> rd[i].len; rd[i].id = i; } sort(rd + 1, rd + 1 + m, cmp); while (q--) { int ans = -1, l, r; cin >> l >> r; for (int i = 1; i <= n * 2; i++) { fa[i] = i; } for (int i = 1; i <= m; i++) { if (rd[i].id >= l && rd[i].id <= r) { if (getf(rd[i].start) == getf(rd[i].end)) { ans = rd[i].len; break; } else { con(rd[i].start + n, rd[i].end); con(rd[i].start, rd[i].end + n); } } } printf("%d\n", ans); } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1010, M = 1e6 + 10; struct edge { int u, v, w, ind; }; int n, m, comp[N], col[N]; vector<int> nodes[N]; edge e[M]; void init() { for (int i = 0; i < (int)(n); i++) { comp[i] = i; col[i] = 0; nodes[i] = vector<int>{i}; } } void merge(int x, int y) { int a = comp[x], b = comp[y]; if (((int)(nodes[a]).size()) < ((int)(nodes[y]).size())) { swap(x, y); swap(a, b); } bool inv = col[x] == col[y]; for (auto u : nodes[b]) { nodes[a].push_back(u); col[u] ^= inv; comp[u] = a; } nodes[b].clear(); } int main() { int q; scanf("%d %d %d", &n, &m, &q); for (int i = 0; i < (int)(m); i++) { int u, v, w; scanf("%d %d %d", &u, &v, &w); u--; v--; e[i] = (edge){u, v, w, i + 1}; } sort(e, e + m, [](edge x, edge y) { return x.w > y.w; }); while (q--) { init(); int l, r; scanf("%d %d", &l, &r); int ans = -1; for (int i = 0; i < (int)(m); i++) if (l <= e[i].ind && e[i].ind <= r) { int u = e[i].u, v = e[i].v; if (comp[u] == comp[v]) { if (col[u] == col[v]) { ans = e[i].w; break; } } else merge(u, v); } printf("%d\n", ans); } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1010; int read() { int MisakaMikoto; scanf("%d", &MisakaMikoto); return MisakaMikoto; } int fa[N * 2]; int find(int x) { if (fa[x] != x) return fa[x] = find(fa[x]); return x; } int cnt; struct edge { int u, v, w, id; edge(){}; edge(int U, int V, int W, int ID) { u = U; v = V; w = W; id = ID; } } e[N * N]; bool cmp(edge a, edge b) { return a.w > b.w; } int n, m, q; int main() { cin >> n >> m >> q; for (int i = 1; i <= m; ++i) { int u = read(), v = read(), w = read(); e[++cnt] = edge(u, v, w, i); } sort(e + 1, e + 1 + cnt, cmp); while (q--) { int l = read(), r = read(), ans = -1; for (int i = 1; i <= n * 2; i++) fa[i] = i; for (int i = 1; i <= m; i++) if (e[i].id >= l && e[i].id <= r) { if (find(e[i].u) == find(e[i].v)) { ans = e[i].w; break; } else { fa[find(e[i].u + n)] = find(e[i].v); fa[find(e[i].u)] = find(e[i].v + n); } } cout << ans << endl; } }
#include <bits/stdc++.h> const int N = 1000 + 10; const int MAXN = 1e9 + 8; using namespace std; int n, m, q; int l, r; bool sign = false; struct Node { int u, v, d, t; } f[N * N / 2]; bool cmp(Node A, Node B) { return A.d > B.d; } void init() { scanf("%d %d %d", &n, &m, &q); int u, v, d; for (int i = 1; i <= m; i++) { scanf("%d %d %d", &f[i].u, &f[i].v, &f[i].d); f[i].t = i; } sort(f + 1, f + m + 1, cmp); } int fa[N * 2]; int findx(int x) { return x == fa[x] ? x : fa[x] = findx(fa[x]); } void solve() { for (int i = 1; i <= n * 2 + 1; i++) { fa[i] = i; } int u, v, lu, lv, ru, rv; for (int i = 1; i <= m; i++) if (f[i].t >= l && f[i].t <= r) { u = f[i].u, v = f[i].v; lu = (u << 1), lv = (v << 1), ru = (u << 1 | 1), rv = (v << 1 | 1); if (findx(lu) == findx(lv) || findx(ru) == findx(rv)) { printf("%d\n", f[i].d); return; } if (fa[lu] != fa[rv]) fa[fa[lu]] = fa[rv]; if (fa[ru] != fa[lv]) fa[fa[ru]] = fa[lv]; } printf("-1\n"); } void work() { for (int i = 1; i <= q; i++) { cin >> l >> r; solve(); } } int main() { init(); work(); return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; using pii = pair<int, int>; using pll = pair<ll, ll>; template <typename T> int sz(const T &a) { return int(a.size()); } const int MAXN = 1e6 + 1; struct edge { int u, v, w; edge() { u = 0, v = 0, w = 0; } const bool operator<(const edge &rhs) const { return rhs.w < w; } }; edge edges[MAXN]; pair<pii, bool> dsu[MAXN]; int find(int a) { if (dsu[a].first.first == a) return a; int rt = find(dsu[a].first.first); dsu[a].second = !(dsu[a].second ^ dsu[dsu[a].first.first].second); return dsu[a].first.first = rt; } bool sameasparent(int a) { find(a); return dsu[a].second; } bool uni(int a, int b) { int ap = find(a), bp = find(b); if (ap == bp) return false; if (dsu[ap].first.second < dsu[bp].first.second) swap(ap, bp); dsu[bp].second = sameasparent(a) ^ sameasparent(b); dsu[ap].first.second += dsu[bp].first.second; dsu[bp].first.first = ap; return true; } pair<vector<edge>, int> getrange(vector<edge> a, vector<edge> b) { vector<edge> te(sz(a) + sz(b)); merge(a.begin(), a.end(), b.begin(), b.end(), te.begin()); for (auto x : te) dsu[x.u] = {{x.u, 1}, 1}, dsu[x.v] = {{x.v, 1}, 1}; vector<edge> fin; for (auto x : te) { if (uni(x.u, x.v)) fin.push_back(x); else if (sameasparent(x.u) == sameasparent(x.v)) { fin.push_back(x); return {fin, x.w}; } } return {fin, -1}; } struct seg { pair<vector<edge>, int> t[MAXN]; void mt(int ind, int le, int ri) { if (le == ri) { t[ind] = {{edges[le]}, -1}; return; } int mid = (le + ri) / 2; int left = ind + 1, right = ind + (mid - le + 1) * 2; mt(left, le, mid), mt(right, mid + 1, ri); t[ind] = getrange(t[left].first, t[right].first); } pair<vector<edge>, int> query(int ind, int le, int ri, int l, int r) { if (l > ri || r < le) return {{}, -1}; if (le >= l && ri <= r) return t[ind]; int mid = (le + ri) / 2; int left = ind + 1, right = ind + (mid - le + 1) * 2; return getrange(query(left, le, mid, l, r).first, query(right, mid + 1, ri, l, r).first); } } tree; int main() { cin.tie(NULL); ios_base::sync_with_stdio(false); int n, q, m; cin >> n >> m >> q; for (int i = 1; i <= m; i++) cin >> edges[i].u >> edges[i].v >> edges[i].w; tree.mt(0, 1, m); int l, r; while (q--) { cin >> l >> r; printf("%d\n", tree.query(0, 1, m, l, r).second); } return 0; }
#include <bits/stdc++.h> using namespace std; const int inf = 1000 * 1000 * 1000; const long long inf64 = 1ll * inf * inf; struct DSU { int n; vector<int> par, color, h; DSU() { n = 0; } DSU(int nn) { n = nn; par.resize(n + 1); color.resize(n + 1); h.resize(n + 1); for (int i = 1; i <= n; i++) { par[i] = i; color[i] = h[i] = 0; } } int find(int x) { if (x == par[x]) return x; else { int t = find(par[x]); color[x] ^= color[par[x]]; return par[x] = t; } } int parity(int x) { find(x); return color[x]; } int add_edge(int x, int y) { int px = find(x); int py = find(y); if (px == py) { if (parity(x) == parity(y)) return 2; else return 0; } if (h[px] < h[py]) { swap(px, py); swap(x, y); } color[py] ^= (parity(x) ^ parity(y) ^ 1); if (h[py] == h[px]) h[px]++; par[py] = px; return 1; } }; int n, m, q; struct edge { int u, v, id, w; static int EdgeCount; edge() { u = v = id = w = 0; } void read() { scanf("%d %d %d", &u, &v, &w); id = EdgeCount++; } void print() { printf("#%d {%d %d} [%d]\n", id, u, v, w); } bool operator<(const edge& b) const { return make_tuple(w, u, v, id) < make_tuple(b.w, b.u, b.v, b.id); } bool operator>(const edge& b) const { return make_tuple(w, u, v, id) > make_tuple(b.w, b.u, b.v, b.id); } bool operator==(const edge& b) const { return make_tuple(w, u, v, id) == make_tuple(b.w, b.u, b.v, b.id); } }; int edge ::EdgeCount = 1; int RESULT; void upd(vector<edge>& l) { vector<edge> res; DSU dsu(n); RESULT = -1; for (auto _e : l) { int type = dsu.add_edge(_e.u, _e.v); if (type) res.push_back(_e); if (type == 2) { RESULT = _e.w; break; } } l = res; } vector<edge> merge(const vector<edge>& l, const vector<edge>& r) { int left_size = (int)l.size(); int right_size = (int)r.size(); int left_cur = 0, right_cur = 0; vector<edge> res; while (left_cur < left_size && right_cur < right_size) { if (l[left_cur] > r[right_cur]) res.push_back(l[left_cur++]); else res.push_back(r[right_cur++]); } while (left_cur < left_size) res.push_back(l[left_cur++]); while (right_cur < right_size) res.push_back(r[right_cur++]); upd(res); return res; } vector<vector<edge> > st; vector<edge> e; void build(int v, int tl, int tr) { if (tl == tr) { st[v].push_back(e[tl]); } else { int tm = (tl + tr) / 2; build(v << 1, tl, tm); build(v << 1 | 1, tm + 1, tr); st[v] = merge(st[v << 1], st[v << 1 | 1]); } } vector<edge> get(int v, int tl, int tr, int l, int r) { if (l <= tl && tr <= r) return st[v]; else { int tm = (tl + tr) / 2; if (l <= tm) { if (r > tm) return merge(get(v << 1, tl, tm, l, r), get(v << 1 | 1, tm + 1, tr, l, r)); else return get(v << 1, tl, tm, l, r); } else return get(v << 1 | 1, tm + 1, tr, l, r); } } bool solve() { scanf("%d %d %d", &n, &m, &q); e.resize(m + 1); for (int i = 1; i <= m; i++) e[i].read(); st.resize(4 * m); build(1, 1, m); for (int l, r; q > 0; q--) { scanf("%d %d", &l, &r); auto tmp = get(1, 1, m, l, r); upd(tmp); printf("%d\n", RESULT); } return true; } int main() { solve(); return 0; }
#include <bits/stdc++.h> using namespace std; struct str { int a, b, len; } edge[1010 * 1010], sing[1010 * 1010]; vector<str> Edge[501000 << 2]; int n, m, Q; int top, ans; int re[1010], fa[1010]; bool cmp(const str &a, const str &b) { return (a.len > b.len); } int find(int a) { if (a == fa[a]) return a; int f = fa[a]; fa[a] = find(f); re[a] ^= re[f]; return fa[a]; } void build(int u, int L, int R) { int n = 0; for (int i = L; i <= R; i++) sing[++n] = edge[i]; sort(sing + 1, sing + n + 1, cmp); for (int i = 1; i <= n; i++) { int a = sing[i].a, b = sing[i].b; if (find(a) != find(b)) { re[fa[a]] = re[a] ^ re[b] ^ 1; fa[fa[a]] = fa[b]; Edge[u].push_back(sing[i]); } else if (re[a] == re[b]) { Edge[u].push_back(sing[i]); break; } } for (int i = 1; i <= n; i++) { int a = sing[i].a, b = sing[i].b; re[a] = 0; re[b] = 0; fa[a] = a; fa[b] = b; } if (L < R) { build((u << 1), L, ((L + R) >> 1)); build((u << 1 | 1), (((L + R) >> 1) + 1), R); } return; } void proc(int u, int L, int R, int l, int r) { if (L == l && R == r) { for (int i = 0; i < (int)Edge[u].size(); i++) sing[++top] = Edge[u][i]; return; } if (r < (((L + R) >> 1) + 1)) proc((u << 1), L, ((L + R) >> 1), l, r); else if (l > ((L + R) >> 1)) proc((u << 1 | 1), (((L + R) >> 1) + 1), R, l, r); else { proc((u << 1), L, ((L + R) >> 1), l, ((L + R) >> 1)); proc((u << 1 | 1), (((L + R) >> 1) + 1), R, (((L + R) >> 1) + 1), r); } return; } int main() { scanf("%d %d %d", &n, &m, &Q); for (int i = 1; i <= m; i++) { scanf("%d %d %d", &edge[i].a, &edge[i].b, &edge[i].len); } for (int i = 1; i <= n; i++) fa[i] = i; build(1, 1, m); for (; Q; Q--) { int l, r; for (int i = 1; i <= n; i++) re[i] = 0, fa[i] = i; scanf("%d %d", &l, &r); top = 0; proc(1, 1, m, l, r); sort(sing + 1, sing + top + 1, cmp); ans = -1; for (int i = 1; i <= top; i++) { int a = sing[i].a, b = sing[i].b; if (find(a) != find(b)) { re[fa[a]] = re[a] ^ re[b] ^ 1; fa[fa[a]] = fa[b]; } else if (re[a] == re[b]) { ans = sing[i].len; break; } } printf("%d\n", ans); } return 0; }
#include <bits/stdc++.h> using namespace std; pair<int, int> edge[1000000]; pair<int, int> vert[1000000]; int parity[1001]; int par[1001]; vector<int> group[1001]; int m; void merge(int u, int v) { int x = parity[u] == parity[v]; u = par[u]; v = par[v]; if (group[u].size() < group[v].size()) swap(u, v); while (!group[v].empty()) { int cur = group[v].back(); group[v].pop_back(); par[cur] = u; parity[cur] ^= x; group[u].push_back(cur); } } int solve(int l, int r) { for (int i = m - 1; i >= 0; i--) { int j = edge[i].second; if (j > r || j < l) continue; int u = vert[j].first; int v = vert[j].second; if (par[u] == par[v]) { if (parity[u] == parity[v]) return edge[i].first; continue; } merge(u, v); } return -1; } int main(int argc, char const *argv[]) { int n, q; scanf("%d%d%d", &n, &m, &q); for (int i = 0; i < m; i++) { int u, v, w; scanf("%d%d%d", &u, &v, &w); edge[i] = make_pair(w, i); vert[i] = make_pair(u, v); } sort(edge, edge + m); while (q--) { int l, r; scanf("%d%d", &l, &r); l--; r--; for (int i = 1; i <= n; i++) { parity[i] = -1; par[i] = i; group[i].clear(); group[i].push_back(i); } int ans = solve(l, r); printf("%d\n", ans); } return 0; }
#include <bits/stdc++.h> using namespace std; using ui64 = unsigned long long; using i64 = long long; using ui32 = unsigned int; using Double = long double; template <class T> inline T Abs(const T& x) { return x < 0 ? -x : x; } template <class T> inline T Sqr(const T& x) { return x * x; } template <class T> void Print(const T& x); template <> void Print<ui64>(const ui64& x) { printf("%" PRIu64, x); } template <> void Print<i64>(const i64& x) { printf("%" PRId64, x); } template <> void Print<ui32>(const ui32& x) { printf("%" PRIu32, x); } template <> void Print<int>(const int& x) { printf("%" PRId32, x); } template <> void Print<float>(const float& x) { printf("%.15f", x); } template <> void Print<double>(const double& x) { printf("%.15lf", x); } template <> void Print<Double>(const Double& x) { Print<double>(x); } template <> void Print<string>(const string& s) { printf("%s", s.c_str()); } template <class T> T Read(); template <> ui64 Read<ui64>() { ui64 x; scanf("%" SCNu64, &x); return x; } template <> i64 Read<i64>() { i64 x; scanf("%" SCNd64, &x); return x; } template <> ui32 Read<ui32>() { ui32 x; scanf("%" SCNu32, &x); return x; } template <> int Read<int>() { int x; scanf("%" SCNd32, &x); return x; } template <> float Read<float>() { float x; scanf("%f", &x); return x; } template <> double Read<double>() { double x; scanf("%lf", &x); return x; } template <> Double Read<Double>() { return Read<double>(); } template <> string Read<string>() { static char buf[int(1e7 + 1)]; scanf("%s", buf); return string(buf); } template <class T> void ReadLine(T& x); template <class T, class... Args> void ReadLine(T& x, Args&... args); template <class T> void PrintLine(const T& x); template <class T, class... Args> void PrintLine(const T& x, Args... args); template <class T> void PrintVector(const vector<T>& x, char delimiter = ' '); template <class T> vector<T> ReadVector(size_t size); const int maxm = 500 * 1001; struct TEdge { int U; int V; int W; }; int main() { int n, m, q; ReadLine(n, m, q); vector<TEdge> edges; vector<int> idx(m); for (int i = 0; i < m; ++i) { int u = Read<int>() - 1; int v = Read<int>() - 1; int w = Read<int>(); edges.push_back({u, v, w}); idx[i] = i; } sort(idx.begin(), idx.end(), [&](int lhs, int rhs) { return edges[lhs].W > edges[rhs].W; }); for (; q; --q) { int l = Read<int>() - 1; int r = Read<int>() - 1; vector<int> color(n, 1); vector<int> comp(n, 0); for (int i = 0; i < n; ++i) { comp[i] = i; } int ans = -1; for (int id : idx) { if (id > r || id < l) { continue; } int u = edges[id].U, v = edges[id].V; if (comp[u] == comp[v]) { if (color[u] == color[v]) { ans = edges[id].W; break; } } else { int mask = (color[u] == color[v] ? 3 : 0); int curComp = comp[v]; for (int i = 0; i < n; ++i) { if (comp[i] == curComp) { comp[i] = comp[u]; color[i] ^= mask; } } } } PrintLine(ans); } return 0; } template <class T> void ReadLine(T& x) { x = Read<T>(); } template <class T, class... Args> void ReadLine(T& x, Args&... args) { x = Read<T>(); ReadLine(args...); } template <class T> void PrintLine(const T& x) { Print(x); printf("\n"); } template <class T, class... Args> void PrintLine(const T& x, Args... args) { Print(x); printf(" "); PrintLine(args...); } template <class T> void PrintVector(const vector<T>& x, char delimiter) { for (size_t i = 0; i < x.size(); ++i) { Print(x[i]); if (i + 1 < x.size()) { printf("%c", delimiter); } } printf("\n"); } template <class T> vector<T> ReadVector(size_t size) { vector<T> res(size); for (size_t i = 0; i < size; ++i) { res[i] = Read<T>(); } return res; }
#include <bits/stdc++.h> using namespace std; static const int INF = 0x3f3f3f3f; static const long long INFL = 0x3f3f3f3f3f3f3f3fLL; template <typename T, typename U> static void amin(T &x, U y) { if (y < x) x = y; } template <typename T, typename U> static void amax(T &x, U y) { if (x < y) x = y; } struct UnionFind { vector<int> data; void init(int n) { data.assign(n, -1); } bool unionSet(int x, int y) { x = root(x); y = root(y); if (x != y) { if (data[y] < data[x]) swap(x, y); data[x] += data[y]; data[y] = x; } return x != y; } bool findSet(int x, int y) { return root(x) == root(y); } int root(int x) { return data[x] < 0 ? x : data[x] = root(data[x]); } int size(int x) { return -data[root(x)]; } }; struct Edge { int i; int u, v; }; int main() { int n; int m; int q; while (~scanf("%d%d%d", &n, &m, &q)) { vector<pair<int, int> > weights(m), pairs(m); for (int(i) = 0; (i) < (int)(m); ++(i)) { int u; int v; int w; scanf("%d%d%d", &u, &v, &w), --u, --v; weights[i] = make_pair(w, i); pairs[i] = make_pair(u, v); } sort(weights.begin(), weights.end()); vector<Edge> edges(m); for (int(i) = 0; (i) < (int)(m); ++(i)) { int ei = weights[m - 1 - i].second; edges[i] = Edge{ei, pairs[ei].first, pairs[ei].second}; } vector<vector<int> > ccs(n); vector<int> root(n), color(n); for (int(i) = 0; (i) < (int)(n); ++(i)) ccs[i].reserve(n); for (int(ii) = 0; (ii) < (int)(q); ++(ii)) { int l; int r; scanf("%d%d", &l, &r), --l; for (int(i) = 0; (i) < (int)(n); ++(i)) { ccs[i].assign(1, i); root[i] = i; color[i] = 0; } int ans = -1; for (int(ix) = 0; (ix) < (int)(m); ++(ix)) { const Edge &e = edges[ix]; if (e.i < l || r <= e.i) continue; bool samecol = color[e.u] == color[e.v]; int x = root[e.u], y = root[e.v]; if (x != y) { vector<int> &v = ccs[x], &w = ccs[y]; if (v.size() < w.size()) { swap(x, y); v.swap(w); } for (int a : w) { root[a] = x; color[a] ^= samecol ? 1 : 0; } v.insert(v.end(), w.begin(), w.end()); w.clear(); ccs[x].swap(v); } else if (samecol) { ans = weights[m - 1 - ix].first; break; } } printf("%d\n", ans); } } return 0; }
#include <bits/stdc++.h> using namespace std; int ar[1000009], pr[1000009], ap[1000009], par[1002], color[1002]; pair<int, pair<int, int> > NOW[1000009]; vector<int> vec[1002]; pair<pair<int, int>, pair<int, int> > NOWW[1000009]; int get_parent(int r) { if (par[r] != r) par[r] = get_parent(par[r]); return par[r]; } int main() { int i, j, k, l, m, n, q, ind = 0, low, high, mid, left, right, ans, pos, flag, u, v, jor, par_u, par_v, z, x, node; cin >> n >> m >> q; pos = 0; for (i = 1; i <= m; i++) { scanf("%d%d%d", &ar[i], &pr[i], &ap[i]); NOWW[++pos] = make_pair(make_pair(ap[i], i), make_pair(ar[i], pr[i])); } sort(NOWW + 1, NOWW + 1 + pos); reverse(NOWW + 1, NOWW + 1 + pos); while (q--) { cin >> left >> right; pos = 0; for (i = 1; i <= m; i++) { if (NOWW[i].first.second >= left && NOWW[i].first.second <= right) NOW[++pos] = make_pair(NOWW[i].first.first, make_pair(NOWW[i].second.first, NOWW[i].second.second)); } for (i = 1; i <= n; i++) { par[i] = i; color[i] = 0; vec[i].clear(); vec[i].push_back(i); } flag = 0; for (i = 1; i <= pos; i++) { u = NOW[i].second.first; v = NOW[i].second.second; jor = (color[u] == color[v]); par_u = get_parent(u); par_v = get_parent(v); if (par_u == par_v) { if (jor == 1) { ans = NOW[i].first; flag = 1; break; } } else { z = vec[par_u].size(); x = vec[par_v].size(); if (z > x) { for (j = 0; j < x; j++) { node = vec[par_v][j]; vec[par_u].push_back(node); color[node] ^= jor; } par[par_v] = par_u; } else { for (j = 0; j < z; j++) { node = vec[par_u][j]; vec[par_v].push_back(node); color[node] ^= jor; } par[par_u] = par_v; } } } if (flag == 0) ans = -1; cout << ans << endl; } }
#include <bits/stdc++.h> using namespace std; int n, m, q, l, r, ans; int fa[1005], w[1005]; struct Node { int x, y, w, id; } f[1000005]; bool cmp(Node a, Node b) { return a.w > b.w; } int find1(int x) { if (fa[x] == x) return x; int fx = find1(fa[x]); w[x] = w[x] ^ w[fa[x]]; fa[x] = fx; return fx; } bool union1(int x, int y) { int fx = find1(x); int fy = find1(y); if (fx == fy) { if (w[x] == w[y]) return false; else return true; } fa[fx] = fy; w[fx] = w[x] ^ w[y] ^ 1; return true; } int main() { scanf("%d%d%d", &n, &m, &q); for (int i = 1; i <= m; ++i) { scanf("%d%d%d", &f[i].x, &f[i].y, &f[i].w); f[i].id = i; } sort(f + 1, f + m + 1, cmp); while (q--) { ans = -1; scanf("%d%d", &l, &r); for (int i = 1; i <= n; ++i) fa[i] = i, w[i] = 0; for (int i = 1; i <= m; ++i) { if (f[i].id >= l && f[i].id <= r) { if (!union1(f[i].x, f[i].y)) { ans = f[i].w; break; } } } printf("%d\n", ans); } return 0; }
#include <bits/stdc++.h> #pragma warning(disable : 4996) using namespace std; int n, m, q; struct EDGE { int s, e, v, idx; EDGE() {} EDGE(int s, int e, int v, int idx) : s(s), e(e), v(v), idx(idx) {} bool operator<(const EDGE &p) const { return v > p.v; } } edge[2000000]; EDGE a[2000000]; int ai; int u[3000]; int find(int x) { return u[x] == x ? x : u[x] = find(u[x]); } int main() { int i, j, k, l; cin >> n >> m >> q; for (i = 0; i < m; i++) { int x, y, z; scanf("%d%d%d", &x, &y, &z), x--, y--; edge[i] = EDGE(x, y, z, i); } sort(edge, edge + m); for (i = 0; i < q; i++) { int x, y; scanf("%d%d", &x, &y), x--, y--; ai = 0; for (j = 0; j < n * 2; j++) u[j] = j; int ans = -1; for (j = 0; j < m; j++) if (edge[j].idx >= x && edge[j].idx <= y) { int x1 = find(edge[j].s * 2), y2 = find(edge[j].e * 2 + 1); if (x1 != y2) u[x1] = y2; int y1 = find(edge[j].e * 2), x2 = find(edge[j].s * 2 + 1); if (y1 != x2) u[y1] = x2; if (find(edge[j].s * 2) == find(edge[j].s * 2 + 1) || find(edge[j].e * 2) == find(edge[j].e * 2 + 1)) { ans = edge[j].v; break; } } printf("%d\n", ans); } return 0; }
#include <bits/stdc++.h> using namespace std; template <class S, class T> ostream& operator<<(ostream& os, const pair<S, T>& p) { return os << "(" << p.first << ", " << p.second << ")"; } template <class T> void debug(T a, T b) { cerr << "["; for (T i = a; i != b; ++i) { if (i != a) cerr << ", "; cerr << *i; } cerr << "]\n"; } struct Edge { int u, v, w, idx; inline bool operator<(const Edge& o) const { return w > o.w; } }; const int N = 1010; int par[N]; int size[N]; int opp[N]; int get(int n) { if (par[n] != n) { par[n] = get(par[n]); } return par[n]; } inline void merge(int u, int v) { if (u == v) { return; } if (size[u] > size[v]) { par[v] = u; size[u] += size[v]; } else { par[u] = v; size[v] += size[u]; } } int main() { int n, m, q; scanf("%d%d%d", &n, &m, &q); vector<Edge> edge(m); for (int i = 0; i < (m); ++i) { scanf("%d%d%d", &edge[i].u, &edge[i].v, &edge[i].w); --edge[i].u, --edge[i].v; edge[i].idx = i; } sort(edge.begin(), edge.end()); while (q--) { int l, r; scanf("%d%d", &l, &r); --l, --r; for (int i = 0; i < (n); ++i) { par[i] = i; size[i] = 1; opp[i] = -1; } int ans = -1; for (Edge e : edge) { if (e.idx >= l and e.idx <= r) { int u = get(e.u), v = get(e.v); if (u == v) { ans = e.w; break; } if (opp[u] != -1) { merge(get(opp[u]), v); } else { opp[u] = v; } if (opp[v] != -1) { merge(get(opp[v]), u); } else { opp[v] = u; } } } cout << ans << "\n"; } return 0; }
#include <bits/stdc++.h> using namespace std; inline long long read(long long num = 0, char c = 0) { while (c > '9' || c < '0') c = getchar(); while (c >= '0' && c <= '9') num = num * 10 + c - 48, c = getchar(); return num; } struct node { int x, y, val, num; void in() { x = read(), y = read(), val = read(); } } p[500010]; int f[2005], n, m, q, l, r; int find(int x) { return f[x] == x ? x : f[x] = find(f[x]); } bool cmp(node a, node b) { return a.val > b.val; } int work() { for (register int i = 1; i <= m; ++i) { if (p[i].num >= l && p[i].num <= r) { if (find(p[i].x) == find(p[i].y)) { return p[i].val; } else { f[find(p[i].x + n)] = f[find(p[i].y)]; f[find(p[i].y + n)] = f[find(p[i].x)]; } } } return -1; } int main() { n = read(), m = read(), q = read(); for (register int i = 1; i <= m; ++i) p[i].in(), p[i].num = i; sort(p + 1, p + 1 + m, cmp); for (register int i = 1; i <= q; ++i) { l = read(), r = read(); for (register int i = 1; i <= 2 * n; ++i) f[i] = i; printf("%d\n", work()); } return 0; }
#include <bits/stdc++.h> struct edge { int u, v, id, w; bool operator<(edge const &x) const { return w > x.w; } } p[1000010]; int n, m, q, f[2010]; int find(int x) { while (x != f[x]) x = f[x] = f[f[x]]; return x; } int main() { scanf("%d%d%d", &n, &m, &q); for (int i = 1; i <= m; i++) scanf("%d%d%d", &p[i].u, &p[i].v, &p[i].w), p[i].id = i; std::sort(p + 1, p + m + 1); while (q--) { for (int i = 1; i <= n * 2; i++) f[i] = i; int l, r, ans = -1; scanf("%d%d", &l, &r); for (int i = 1; i <= m; i++) if (p[i].id <= r && p[i].id >= l) { int u = find(p[i].u), v = find(p[i].v); if (u == v) { ans = p[i].w; break; } else { int fu = find(p[i].u + n), fv = find(p[i].v + n); f[fv] = u; f[fu] = v; } } printf("%d\n", ans); } return 0; }
#include <bits/stdc++.h> using namespace std; int flag, n, q, m, rl[1010], fa[1010]; struct data { int u, v, w, id; bool operator<(const data &rhs) const { return w < rhs.w; } } ed[1001000]; void Init() { flag = 0; for (int i = 1; i <= n; i++) fa[i] = i, rl[i] = 0; } int find(int k) { if (fa[k] == k) return k; int f = find(fa[k]); rl[k] ^= rl[fa[k]]; return fa[k] = f; } bool Unite(int x, int y) { int fx = find(x), fy = find(y); if (fx == fy && rl[x] == rl[y]) return 0; if (fx != fy) { fa[fx] = fy; rl[fx] = rl[x] ^ rl[y] ^ 1; } return 1; } int main() { scanf("%d%d%d", &n, &m, &q); for (int i = 1; i <= m; i++) scanf("%d%d%d", &ed[i].u, &ed[i].v, &ed[i].w), ed[i].id = i; sort(ed + 1, ed + m + 1); while (q--) { int l, r; scanf("%d%d", &l, &r); Init(); for (int i = m; i >= 1; i--) if (ed[i].id >= l && ed[i].id <= r) if (!Unite(ed[i].u, ed[i].v)) { flag = 1; printf("%d\n", ed[i].w); break; } if (!flag) puts("-1"); } }
#include <bits/stdc++.h> using namespace std; const int MAXN = 1010, MAXM = 500000; struct edge { int u, v, w; int id; void read(int i) { scanf("%d %d %d", &u, &v, &w); u--; v--; id = i; } }; bool operator<(edge e1, edge e2) { return e1.w < e2.w; } int N, M, Q; edge E[MAXM]; struct union_find { int par[MAXN]; void reset() { for (int i = 0; i < N; i++) { par[i] = i; } } int find(int x) { return x == par[x] ? x : par[x] = find(par[x]); } bool merge(int x, int y) { x = find(x); y = find(y); if (x == y) { return false; } par[x] = y; return true; } } uf; int col[MAXN]; vector<int> adj[MAXN]; void dfs(int x, int c) { if (col[x] != -1) { return; } col[x] = c; for (int t : adj[x]) { dfs(t, !c); } } int main() { scanf("%d %d %d", &N, &M, &Q); for (int i = 0; i < M; i++) { E[i].read(i); } sort(E, E + M); for (int qi = 0; qi < Q; qi++) { int x, y; scanf("%d %d", &x, &y); x--; uf.reset(); memset(col, -1, sizeof(col)); for (int i = 0; i < N; i++) { adj[i].clear(); } for (int i = M - 1; i >= 0; i--) { if (E[i].id < x || E[i].id >= y) { continue; } int u = E[i].u, v = E[i].v; if (!uf.merge(u, v)) { continue; } adj[u].push_back(v); adj[v].push_back(u); } for (int i = 0; i < N; i++) { dfs(i, 0); } int ans = -1; for (int i = M - 1; i >= 0; i--) { if (E[i].id < x || E[i].id >= y) { continue; } if (col[E[i].u] == col[E[i].v]) { ans = E[i].w; break; } } printf("%d\n", ans); } }
#include <bits/stdc++.h> using namespace std; int p[1000], r[1000], col[1000]; int getp(int v) { if (p[v] == v) return v; int pr = getp(p[v]); col[v] ^= col[p[v]]; p[v] = pr; return p[v]; } void join(int a, int b, int d) { if (r[a] > r[b]) swap(a, b); else if (r[a] == r[b]) ++r[b]; p[a] = b; col[a] = 1 ^ d; } int main() { int n, m, Q; scanf("%d%d%d", &n, &m, &Q); vector<array<int, 4>> v(m); for (int i = 0; i < m; ++i) { scanf("%d%d%d", &v[i][1], &v[i][2], &v[i][0]); --v[i][1]; --v[i][2]; v[i][3] = i + 1; } sort(v.rbegin(), v.rend()); for (int test = 0; test < Q; ++test) { int L, R; scanf("%d%d", &L, &R); memset(r, 0, sizeof(r)); memset(col, 0, sizeof(col)); for (int i = 0; i < n; ++i) p[i] = i; int ans = -1; for (int i = 0; i < v.size(); ++i) if (v[i][3] >= L && v[i][3] <= R) { int a = getp(v[i][1]), b = getp(v[i][2]); if (a != b) { join(a, b, col[v[i][1]] ^ col[v[i][2]]); } else { if (col[v[i][1]] == col[v[i][2]]) { ans = v[i][0]; break; } } } printf("%d\n", ans); } return 0; }
#include <bits/stdc++.h> using namespace std; template <typename T> T BigMod(T b, T p, T m) { if (p == 0) return 1; if (p % 2 == 0) { T s = BigMod(b, p / 2, m); return ((s % m) * (s % m)) % m; } return ((b % m) * (BigMod(b, p - 1, m) % m)) % m; } template <typename T> T ModInv(T b, T m) { return BigMod(b, m - 2, m); } template <typename T> T in() { char ch; T n = 0; bool ng = false; while (1) { ch = getchar(); if (ch == '-') { ng = true; ch = getchar(); break; } if (ch >= '0' && ch <= '9') break; } while (1) { n = n * 10 + (ch - '0'); ch = getchar(); if (ch < '0' || ch > '9') break; } return (ng ? -n : n); } template <typename T> T POW(T B, T printf) { if (printf == 0) return 1; if (printf & 1) return B * POW(B, printf - 1); else return (POW(B, printf / 2) * POW(B, printf / 2)); } template <typename T> T Bigmod(T b, T p, T m) { if (p == 0) return 1; else if (!(p & 1)) return (Bigmod(b, p / 2, m) * Bigmod(b, p / 2, m)) % m; else return ((b % m) * Bigmod(b, p - 1, m)) % m; } template <typename T> T Dis(T x1, T y1, T x2, T y2) { return sqrt((x1 - x2 * x1 - x2) + (y1 - y2 * y1 - y2)); } template <typename T> T Angle(T x1, T y1, T x2, T y2) { return atan(double(y1 - y2) / double(x1 - x2)); } template <typename T> T DIFF(T a, T b) { T d = a - b; if (d < 0) return -d; else return d; } template <typename T> T ABS(T a) { if (a < 0) return -a; else return a; } template <typename T> T gcd(T a, T b) { if (a < 0) return gcd(-a, b); if (b < 0) return gcd(a, -b); return (b == 0) ? a : gcd(b, a % b); } template <typename T> T lcm(T a, T b) { if (a < 0) return lcm(-a, b); if (b < 0) return lcm(a, -b); return a * (b / gcd(a, b)); } template <typename T> T euclide(T a, T b, T& x, T& y) { if (a < 0) { T d = euclide(-a, b, x, y); x = -x; return d; } if (b < 0) { T d = euclide(a, -b, x, y); y = -y; return d; } if (b == 0) { x = 1; y = 0; return a; } else { T d = euclide(b, a % b, x, y); T t = x; x = y; y = t - (a / b) * y; return d; } } template <typename T> void ia(T a[], int n) { for (int i = 0; i < n; i++) cin >> a[i]; } template <typename T> void pa(T a[], int n) { for (int i = 0; i < n - 1; i++) cout << a[i] << " "; cout << a[n - 1] << endl; } template <typename T> long long int isLeft(T a, T b, T c) { return (a.x - b.x) * (b.y - c.y) - (b.x - c.x) * (a.y - b.y); } int Set(int N, int pos) { return N = N | (1 << pos); } int Reset(int N, int pos) { return N = N & ~(1 << pos); } bool Check(int N, int pos) { return (bool)(N & (1 << pos)); } template <class T, class first> inline T togglebit(T a, first i) { T t = 1; return (a ^ (t << i)); } double DEG(double x) { return (180.0 * x) / (2.0 * acos(0.0)); } double RAD(double x) { return (x * (double)2.0 * acos(0.0)) / (180.0); } template <class T> struct Vector { T* ar; int sz; int cap; Vector() { cap = 1; sz = 0; ar = (T*)malloc(cap * sizeof(T)); } Vector(int n) { cap = n; sz = n; ar = (T*)calloc(cap, sizeof(T)); } void push_back(T x) { if (sz == cap) { cap = cap + ((cap + 1) >> 1); ar = (T*)realloc(ar, cap * sizeof(T)); } ar[sz++] = x; } void clear() { cap = 1; sz = 0; free(ar); ar = (T*)malloc(cap * sizeof(T)); } void sort(int l, int r) { std::sort(ar + l, ar + r + 1); } T& operator[](int idx) { return ar[idx]; } int size() { return sz; } }; struct Edge { int u, v, w, i; Edge() {} Edge(int _u, int _v, int _w, int _i) { u = _u; v = _v; w = _w; i = _i; } bool operator<(const Edge& p) const { return w < p.w; } }; int par[1007], color[1007]; Vector<int> comp[1007]; Vector<Edge> e; void Init(int n) { for (int i = 0; i <= n; i++) { par[i] = i; color[i] = 0; comp[i].clear(); comp[i].push_back(i); } } int FindPar(int n) { if (par[n] == n) return n; else return par[n] = FindPar(par[n]); } int main() { int n, m, q; scanf("%d%d%d", &n, &m, &q); e = Vector<Edge>(m + 2); for (int i = 1; i <= m; i++) { int u, v, w; scanf("%d%d%d", &u, &v, &w); e[i] = Edge(u, v, w, i); } e.sort(1, m); while (q--) { int l, r; scanf("%d%d", &l, &r); Init(n); int res = -1; for (int i = m; i; i--) { if (e[i].i < l || e[i].i > r) continue; int u = FindPar(e[i].u), v = FindPar(e[i].v), w = e[i].w; if (u != v) { if (comp[u].size() < comp[v].size()) swap(u, v); int f = (color[e[i].u] == color[e[i].v]); for (int j = 0; j < comp[v].size(); j++) { int x = comp[v][j]; color[x] ^= f; comp[u].push_back(x); par[x] = u; } comp[v].clear(); } else if (color[e[i].u] == color[e[i].v]) { res = max(res, w); break; } } printf("%d\n", res); } return 0; }
#include <bits/stdc++.h> using namespace ::std; const int N = 1000; struct union_find_tree { vector<int> parent; vector<int> height; vector<int> group_size; vector<bool> diff; void init1(int uf_n) { parent.resize(uf_n); height.resize(uf_n); group_size.resize(uf_n); diff.resize(uf_n); } void init(int uf_n) { for (int i = 0; i < uf_n; i++) { parent[i] = i; height[i] = 0; group_size[i] = 0; diff[i] = false; } } pair<int, bool> get_root(int now) { if (parent[now] == now) return pair<int, bool>(parent[now], diff[now]); pair<int, bool> op = get_root(parent[now]); diff[now] = diff[now] ^ diff[parent[now]]; parent[now] = parent[parent[now]]; return pair<int, bool>(parent[now], diff[now]); } void merge(int v1, int v2) { pair<int, bool> p1 = get_root(v1), p2 = get_root(v2); v1 = p1.first, v2 = p2.first; bool di = p1.second ^ p2.second; if (height[v1] < height[v2]) swap(v1, v2); parent[v2] = v1; group_size[v1] += group_size[v2]; diff[v2] = !di; if (height[v1] == height[v2]) height[v1]++; } } uf_tree; int n, m, q; pair<pair<int, int>, pair<int, int> > road[N * N + 5]; int main() { scanf("%d %d %d", &n, &m, &q); for (int i = 1; i <= m; i++) { int v1, v2, r; scanf("%d %d %d", &v1, &v2, &r); road[i] = pair<pair<int, int>, pair<int, int> >(pair<int, int>(r, i), pair<int, int>(v1, v2)); } uf_tree.init1(n + 2); sort(road + 1, road + m + 1); for (int i = 0; i < q; i++) { int l, r, j; scanf("%d %d", &l, &r); uf_tree.init(n + 2); for (j = m; j >= 1; j--) { if (road[j].first.second < l || road[j].first.second > r) continue; int v1 = road[j].second.first, v2 = road[j].second.second; pair<int, bool> p1 = uf_tree.get_root(v1), p2 = uf_tree.get_root(v2); if (p1.first != p2.first) uf_tree.merge(v1, v2); else if (p1.second == p2.second) { printf("%d\n", road[j].first.first); break; } } if (j == 0) printf("-1\n"); } return 0; }
#include <bits/stdc++.h> using namespace std; int id[600000], a[600000], b[600000], c[600000]; bool cmp(int i, int j) { return c[i] > c[j]; } int adj[1010][1010], deg[1010], col[1010], root[1010]; int main() { int n, m, q; cin >> n >> m >> q; for (int i = 0; i < m; i++) { scanf("%d %d %d", a + i, b + i, c + i); id[i] = i; } sort(id, id + m, cmp); int L, R; while (q--) { scanf("%d %d", &L, &R); L--; R--; for (int i = 1; i <= n; i++) { root[i] = i; col[i] = deg[i] = 0; adj[i][deg[i]++] = i; } int ans = -1; for (int ii = 0; ii < m; ii++) { int i = id[ii]; if (i > R || i < L) continue; int x = root[a[i]], y = root[b[i]]; if (x == y) { if (col[a[i]] == col[b[i]]) { ans = c[i]; break; } } else { if (deg[x] > deg[y]) swap(x, y); int inv = (col[a[i]] == col[b[i]]); for (int j = 0; j < deg[x]; j++) { int z = adj[x][j]; adj[y][deg[y]++] = z; root[z] = y; col[z] ^= inv; } } } printf("%d\n", ans); } return 0; }
#include <bits/stdc++.h> using namespace std; template <class T> inline void rread(T& num) { num = 0; T f = 1; char ch = getchar(); while (ch < '0' || ch > '9') { if (ch == '-') f = -1; ch = getchar(); } while (ch >= '0' && ch <= '9') num = num * 10 + ch - '0', ch = getchar(); num *= f; } inline int getgcd(int x, int y) { if (!x) return y; return getgcd(y % x, x); } inline long long getlcm(int x, int y) { return (long long)x / getgcd(x, y) * y; } inline long long getgcd(long long x, long long y) { if (!x) return y; return getgcd(y % x, x); } inline long long getlcm(long long x, long long y) { return x / getgcd(x, y) * y; } inline int power(int x, int k, int p) { int res = 1; for (; k; k >>= 1, x = (long long)x * x % p) if (k & 1) res = (long long)res * x % p; return res; } inline long long power(long long x, long long k, long long p) { long long res = 1; for (; k; k >>= 1, x = x * x % p) if (k & 1) res = res * x % p; return res; } const double pi = acos(-1); inline void judge() { freopen("input.txt", "r", stdin); } const int maxm = 1e6 + 5; const int maxn = 2e3 + 5; int n, m, q; int fa[maxn], rk[maxn]; struct edge { int x, y, z, id; } e[maxm]; inline bool cmp(edge a, edge b) { return a.z > b.z; } inline int find(int x) { return fa[x] == x ? x : fa[x] = find(fa[x]); } inline void merge(int x, int y) { x = find(x); y = find(y); if (x == y) return; if (rk[x] == rk[y]) rk[y]++; else if (rk[x] > rk[y]) swap(rk[x], rk[y]); fa[x] = y; } int main() { rread(n); rread(m); rread(q); for (int(i) = (1); (i) <= (m); (i)++) rread(e[i].x), rread(e[i].y), rread(e[i].z), e[i].id = i; sort(e + 1, e + m + 1, cmp); while (q--) { int l, r; rread(l); rread(r); bool flag = 0; for (int(i) = (1); (i) <= (n * 2); (i)++) fa[i] = i, rk[i] = 0; for (int(i) = (1); (i) <= (m); (i)++) if (e[i].id >= l && e[i].id <= r) { merge((2 * e[i].x - 1), (2 * e[i].y)); merge((2 * e[i].x), (2 * e[i].y - 1)); if (find((2 * e[i].x - 1)) == find((2 * e[i].x)) || find((2 * e[i].y - 1)) == find((2 * e[i].y))) { printf("%d\n", e[i].z); flag = 1; } if (flag) break; } if (!flag) puts("-1"); } return 0; }