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#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() { 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(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; int n, m, Q; pair<pair<int, int>, pair<int, int> > q[1000111]; int p[1111]; int d[1111]; vector<int> v[1111]; int main() { cin >> n >> m >> Q; for (int i = 0; i < m; i++) { scanf("%d%d%d", &q[i].second.first, &q[i].second.second, &q[i].first.first); q[i].second.first--; q[i].second.second--; q[i].first.second = i; } sort(q, q + m); reverse(q, q + m); for (int i = 0; i < Q; i++) { int l, r; cin >> l >> r; l--; r--; for (int i = 0; i < n; i++) v[i].clear(); for (int i = 0; i < n; i++) { p[i] = i; d[i] = 0; v[i].push_back(i); } int ans = -1; for (int i = 0; i < m; i++) if (q[i].first.second >= l && q[i].first.second <= r) { int x = q[i].second.first; int y = q[i].second.second; if (p[x] == p[y]) { if (d[x] == d[y]) { ans = q[i].first.first; break; } continue; } int we = 1 ^ d[x] ^ d[y]; if (v[p[x]].size() > v[p[y]].size()) swap(x, y); int c = p[x]; for (int j = 0; j < v[c].size(); j++) { int t = v[c][j]; d[t] = d[t] ^ we; p[t] = p[y]; v[p[y]].push_back(t); } } cout << ans << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, q; int u[1000100], v[1000100], w[1000100], id[1000100]; struct UnionFind { vector<int> uf; UnionFind(int n) : uf(n, -1) {} int operator[](int x) { if (uf[x] < 0) return x; return uf[x] = operator[](uf[x]); } bool merge(int x, int y) { x = operator[](x); y = operator[](y); if (x == y) return false; if (-uf[x] < -uf[y]) swap(x, y); uf[x] += uf[y]; uf[y] = x; return true; } }; int solve(int l, int r) { UnionFind uf(n * 2); for (int i = 0; i < m; i++) { if (l <= id[i] && id[i] <= r) { if (uf[u[i]] == uf[v[i]]) { return w[i]; } else { uf.merge(u[i], v[i] + n); uf.merge(u[i] + n, v[i]); } } } return -1; } int main() { cin >> n >> m >> q; vector<tuple<int, int, int, int>> wuvi(m); for (int i = 0; i < m; i++) { scanf("%d %d %d", &u[i], &v[i], &w[i]); u[i]--; v[i]--; wuvi[i] = make_tuple(w[i], u[i], v[i], i); } sort(wuvi.rbegin(), wuvi.rend()); for (int i = 0; i < m; i++) { tie(w[i], u[i], v[i], id[i]) = wuvi[i]; } for (int ii = 0; ii < q; ii++) { int l, r; scanf("%d %d", &l, &r); l--; r--; printf("%d\n", solve(l, r)); } }
#include <bits/stdc++.h> using namespace std; int fr[1000005], to[1000005], par[1005]; pair<int, int> cost[1000005]; set<int> s[2][1005]; int s1[1005]; bool ok; int parent(int x) { if (x == par[x]) return x; return par[x] = parent(par[x]); } void merg(int x, int i, int y, int j) { if (s[0][x].size() + s[1][x].size() > s[0][y].size() + s[1][y].size()) { merg(y, j, x, i); return; } par[x] = y; int i1 = (i ^ 1), j1 = (j ^ 1); for (auto u : s[i][x]) { s[j1][y].insert(u); s1[u] = j1; } for (auto u : s[i1][x]) { s[j][y].insert(u); s1[u] = j; } s[0][x].clear(); s[1][x].clear(); } int main() { int n, m, q; cin >> n >> m >> q; for (int i = 1; i <= m; ++i) { scanf("%d%d%d", fr + i, to + i, &cost[i].first); cost[i].second = i; } int l, r; sort(cost + 1, cost + m + 1); while (q--) { scanf("%d%d", &l, &r); int ans = -1; for (int i = 0; i <= n; ++i) { par[i] = i; s[0][i].clear(); s[1][i].clear(); s[0][i].insert(i); s1[i] = 0; } for (int j = m; j >= 1; --j) { int i = cost[j].second; if (i > r || i < l) continue; int u = fr[i], v = to[i]; u = parent(u); v = parent(v); if (u == v) { if (s1[fr[i]] != s1[to[i]]) continue; ans = cost[j].first; break; } int x = 0, y = 0; if (s[1][u].count(fr[i])) x = 1; if (s[1][v].count(to[i])) y = 1; merg(u, x, v, y); } printf("%d\n", ans); } }
#include <bits/stdc++.h> using namespace std; template <class T> inline T bigmod(T p, T e, T M) { long long ret = 1; for (; e > 0; e >>= 1) { if (e & 1) ret = (ret * p) % M; p = (p * p) % M; } return (T)ret; } template <class T> inline T gcd(T a, T b) { if (b == 0) return a; return gcd(b, a % b); } template <class T> inline T modinverse(T a, T M) { return bigmod(a, M - 2, M); } int pre[1001], fl[1001]; int Find(int x) { if (x == pre[x]) return x; return pre[x] = Find(pre[x]); } pair<pair<int, int>, pair<int, int> > pp[1000001]; int ar[1001][1001], cnt[1001]; int main() { ios_base::sync_with_stdio(0); cin.tie(0); int n, m, q; cin >> n >> m >> q; for (int i = (1); i < (m + 1); ++i) { cin >> pp[i].second.first >> pp[i].second.second; cin >> pp[i].first.first; pp[i].first.second = i; } sort(pp + 1, pp + m + 1); while (q--) { for (int i = (1); i < (n + 1); ++i) cnt[i] = 0; for (int i = (1); i < (n + 1); ++i) { ar[i][++cnt[i]] = i; pre[i] = i; fl[i] = 0; } int l, r; cin >> l >> r; int res = 1000000009ll; for (int i = m; i >= 1; i--) { if (pp[i].first.second < l || pp[i].first.second > r) continue; int x = pp[i].second.first, y = pp[i].second.second, c = pp[i].first.first; int px = Find(x), py = Find(y); if (px == py) { if (fl[x] == fl[y]) { res = c; break; } } else { if (cnt[px] < cnt[py]) { swap(px, py); swap(x, y); } int d = (fl[x] == fl[y]); for (int k = (1); k < (cnt[py] + 1); ++k) { if (d) fl[ar[py][k]] ^= 1; ar[px][++cnt[px]] = ar[py][k]; } pre[py] = px; } } if (res == 1000000009ll) cout << -1 << endl; else cout << res << endl; } }
#include <bits/stdc++.h> using namespace std; namespace IO { void read(int &x) { x = 0; int f = 1; char c = getchar(); while ('0' > c || c > '9') { if (c == '-') f = -1; c = getchar(); } while ('0' <= c && c <= '9') { x = (x << 3) + (x << 1) + c - '0'; c = getchar(); } x *= f; } void write(int x) { if (x < 0) { putchar('-'); write(-x); return; } if (x < 10) putchar(x + '0'); else { write(x / 10); putchar(x % 10 + '0'); } } } // namespace IO namespace ufs { int fa[2005]; int w[2005]; void makeset(int n) { for (int i = 1; i <= n; i++) { fa[i] = i; w[i] = 0; } } int findset(int x) { if (fa[x] == x) return x; int t = findset(fa[x]); w[x] ^= w[fa[x]]; return fa[x] = t; } void merge(int u, int v, int ty) { int a = findset(u); int b = findset(v); fa[a] = b; w[a] = w[u] ^ ty ^ w[v]; w[b] = 0; } } // namespace ufs using namespace IO; using namespace ufs; int n, m, q; struct node { int u, v, w, id; friend bool operator<(const node &a, const node &b) { return a.w < b.w; } } e[5000005]; int main() { read(n); read(m); read(q); for (int i = 1, u, v, w; i <= m; i++) { read(u); read(v); read(w); e[i] = (node){u, v, w, i}; } sort(e + 1, e + m + 1); for (int i = 1, l, r; i <= q; i++) { read(l); read(r); bool f = 1; makeset(n * 2); for (int j = m; j >= 1; j--) { if (l <= e[j].id && e[j].id <= r) { if (findset(e[j].u) == findset(e[j].v)) { if ((w[e[j].u] ^ w[e[j].v]) != 1) { f = 0; write(e[j].w); putchar('\n'); break; } } else merge(e[j].u, e[j].v, 1); } } if (f) { write(-1); putchar('\n'); } } return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 1000 + 2, maxm = 1000 * 1000 + 2; int n, m, q, parent[maxn], r[maxn], b[maxn]; pair<pair<long long, int>, pair<int, int> > v[maxm]; bool chek = false; int par(int x) { if (x == parent[x]) return x; int y = par(parent[x]); b[x] += b[parent[x]]; b[x] %= 2; return parent[x] = y; } void merge(int x, int y) { int second = x, e = y; x = par(x); y = par(y); if (x == y) { if (b[second] == b[e]) chek = true; return; } if (r[x] < r[y]) { swap(x, y); swap(second, e); } r[x] += r[y]; parent[y] = x; b[y] = (b[e] + 1 + b[second]) % 2; } int main() { ios::sync_with_stdio(false); int x, y, second, e; long long z; cin >> n >> m >> q; for (int i = 0; i < m; i++) { cin >> x >> y >> z; x--; y--; v[i] = make_pair(make_pair(z, i + 1), make_pair(x, y)); } sort(v, v + m); reverse(v, v + m); for (int t = 0; t < q; t++) { chek = false; cin >> second >> e; for (int i = 0; i < n; i++) { parent[i] = i; r[i] = 1; b[i] = 0; } for (int i = 0; i < m; i++) if (v[i].first.second >= second && v[i].first.second <= e) { x = v[i].second.first; y = v[i].second.second; z = v[i].first.first; merge(x, y); if (chek == true) { cout << z << endl; break; } } if (chek == false) cout << -1 << endl; } 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); 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; int n, m, dad[1234567]; int q; int l, r; struct way { int l, r, val, id; } w[1234567]; bool com(way x, way y) { return x.val < y.val; } int finddad(int x) { return (x == dad[x]) ? x : dad[x] = finddad(dad[x]); } void gop(int x, int y) { int xx = finddad(x), yy = finddad(y); if (xx != yy) dad[xx] = yy; } int main() { ios_base::sync_with_stdio(false); cin >> n >> m >> q; for (int i = 1; i <= m; i++) { cin >> w[i].l >> w[i].r >> w[i].val; w[i].id = i; } sort(w + 1, w + m + 1, com); while (q--) { cin >> l >> r; int luu = 0; for (int i = 1; i <= 2 * n; i++) dad[i] = i; for (int j = m; j >= 1; j--) { if (l <= w[j].id && r >= w[j].id) { if (finddad(w[j].l) == finddad(w[j].r)) { cout << w[j].val << endl; luu = 1; break; } gop(w[j].l + n, w[j].r); gop(w[j].l, w[j].r + n); } } if (!luu) cout << -1 << endl; } 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; } void solve() { sort(V.begin(), V.end()); for (int i = 0; i < q; i++) { int first, b; scanf("%d%d", &first, &b); vector<trzy> Akt; 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 N = 1111, M = N * N / 2; int n, m, q; int u[M], v[M], w[M], u0[M], v0[M], w0[M]; int order[M]; int p[N], h[N]; bool rel[N]; int find(int x) { int root; bool rel_root = 0; for (root = x; p[root] != root; root = p[root]) rel_root ^= rel[root]; for (; x != root;) { bool rel_x = rel[x]; rel[x] = rel_root; rel_root ^= rel_x; int px = p[x]; p[x] = root; x = px; } return root; } __inline bool add(int e) { int fu = find(u[e]), fv = find(v[e]); if (fu == fv) if (rel[u[e]] == rel[v[e]]) { return 0; } else ; else { if (h[fu] > h[fv]) swap(fu, fv); p[fu] = fv; h[fv] += h[fv] == h[fu]; rel[fu] = rel[u[e]] ^ rel[v[e]] ^ 1; } return 1; } __inline bool cmp(int x, int y) { return w0[x] > w0[y]; } inline void getint(int &x) { char ch; for (; !isdigit(ch = getchar());) ; x = ch - '0'; for (; isdigit(ch = getchar());) x = x * 10 + ch - '0'; } int unsolved[N], cu; int main() { getint(n); getint(m); getint(q); int cp = 0; for (int i = 1; i <= m; i++) { order[i] = i; getint(u0[i]); getint(v0[i]); getint(w0[i]); } sort(order + 1, order + m + 1, cmp); for (int i = 1; i <= m; i++) { u[i] = u0[order[i]]; v[i] = v0[order[i]]; w[i] = w0[order[i]]; } for (int k = 1; k <= q; ++k) { int l, r, ans; getint(l); getint(r); for (int i = 1; i <= n; i++) p[i] = i, h[i] = 1, rel[i] = 0; ans = -1; for (int e = 1; e <= m; e++) { if (order[e] >= l && order[e] <= r) if (!add(e)) { ans = w[e]; break; } } printf("%d\n", ans); } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1010; const int M = N * N / 2; const int K = 10000; struct A { int ans; vector<pair<int, pair<int, int> > > vec; A() { ans = -1; } } ans; vector<pair<int, pair<int, int> > > vec; int n, m, q; int fa[N], dp[N]; int F(int k) { if (fa[k] == k) { return k; } else { int res = F(fa[k]); dp[k] ^= dp[fa[k]]; fa[k] = res; return res; } } void solve() { ans = A(); for (int i = 1; i <= n; i++) fa[i] = i, dp[i] = 0; for (int i = 0; i <= (int)vec.size() - 1; i++) { int u = vec[i].second.first; int v = vec[i].second.second; int w = vec[i].first; if (F(u) != F(v)) { dp[fa[u]] = 1 ^ dp[u] ^ dp[v]; fa[fa[u]] = fa[v]; ans.vec.push_back(vec[i]); } else if (1 ^ dp[u] ^ dp[v]) { ans.ans = w; return; } } } A operator+(const A& x, const A& y) { vec.resize(x.vec.size() + y.vec.size()); merge(x.vec.begin(), x.vec.end(), y.vec.begin(), y.vec.end(), vec.begin(), greater<pair<int, pair<int, int> > >()); solve(); ans.ans = max(ans.ans, max(x.ans, y.ans)); return ans; } int x[M], y[M], z[M]; A init_(int l, int r) { l = max(l, 1); r = min(r, m); vec.clear(); for (int i = l; i <= r; i++) vec.push_back(pair<int, pair<int, int> >(z[i], pair<int, int>(x[i], y[i]))); sort(vec.begin(), vec.end(), greater<pair<int, pair<int, int> > >()); solve(); return ans; } A sum[M / K][M / K]; int main() { cin >> n >> m >> q; for (int i = 1; i <= m; i++) scanf("%d%d%d", x + i, y + i, z + i); int size = m / K; for (int i = 0; i <= size; i++) sum[i][i] = init_(i * K, (i + 1) * K - 1); for (int i = 0; i <= size; i++) for (int j = i + 1; j <= size; j++) sum[i][j] = sum[i][j - 1] + sum[j][j]; while (q--) { int l, r; scanf("%d%d", &l, &r); int L = l / K; int R = r / K; if (L == R) { A res = init_(l, r); printf("%d\n", res.ans); } else { A res_L = init_(l, (L + 1) * K - 1); A res_R = init_(R * K, r); A res = res_L + res_R + sum[L + 1][R - 1]; printf("%d\n", res.ans); } } return 0; }
#include <bits/stdc++.h> using namespace std; int i, j, n, x, y, z, m, k, l, r, flag, timer, glob, sz, q; string s, t; pair<pair<int, int>, pair<int, int> > a[1000000 + 500]; int g[1005][1005], gsz[1005]; int p[1005], c[1005]; int w[1000000 + 500], num[1000000 + 500], fir[1000000 + 500], sec[1000000 + 500]; int main() { cin >> n >> m >> q; for (i = 0; i < m; i++) { scanf("%d %d %d", &a[i].second.first, &a[i].second.second, &a[i].first.first); a[i].first.second = i + 1; } sort(a, a + m); reverse(a, a + m); for (j = 0; j < m; j++) num[j] = a[j].first.second; for (i = 0; i < q; i++) { for (j = 1; j <= n; j++) p[j] = j, c[j] = -1, w[j] = 1; cin >> l >> r; int ans = -1; for (j = 0; j < m; j++) if (num[j] >= l && num[j] <= r) { int x = a[j].second.first; int y = a[j].second.second; if (p[x] == p[y]) { if (c[x] == c[y]) { ans = a[j].first.first; break; } } else { if (c[x] == -1 && c[y] == -1) { p[x] = p[y]; c[x] = 0; c[y] = 1; w[p[x]] = 2; } else if (c[x] == -1) { p[x] = p[y]; c[x] = !c[y]; w[p[x]]++; } else if (c[y] == -1) { p[y] = p[x]; c[y] = !c[x]; w[p[y]]++; } else { if (w[p[x]] > w[p[y]]) swap(x, y); w[p[y]] += w[p[x]]; int col = p[x]; int to_inv = (c[x] == c[y]); for (k = 1; k <= n; k++) if (p[k] == col) { p[k] = p[y]; c[k] ^= to_inv; } } } } cout << ans << endl; } return 0; }
#include <bits/stdc++.h> #pragma GCC optimize("O3") int ii[(1000 * (1000 - 1) / 2)], jj[(1000 * (1000 - 1) / 2)], ww[(1000 * (1000 - 1) / 2)]; int compare(const void *a, const void *b) { int h1 = *(int *)a; int h2 = *(int *)b; return ww[h2] - ww[h1]; } int dsu[1000 * 2]; int find(int i) { return dsu[i] < 0 ? i : (dsu[i] = find(dsu[i])); } void join(int i, int j) { i = find(i); j = find(j); if (i == j) return; if (dsu[i] > dsu[j]) dsu[i] = j; else { if (dsu[i] == dsu[j]) dsu[i]--; dsu[j] = i; } } int main() { static int hh[(1000 * (1000 - 1) / 2)]; int n, m, q, h; scanf("%d%d%d", &n, &m, &q); for (h = 0; h < m; h++) { scanf("%d%d%d", &ii[h], &jj[h], &ww[h]), ii[h]--, jj[h]--; hh[h] = h; } qsort(hh, m, sizeof *hh, compare); while (q--) { int l, r, w; scanf("%d%d", &l, &r), l--, r--; memset(dsu, -1, n * 2 * sizeof *dsu); w = -1; for (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; join(i0, j1); join(i1, j0); if (find(i0) == find(i1) || find(j0) == find(j1)) { w = ww[h_]; break; } } } printf("%d\n", w); } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 2000 + 5; const int M = 5e5 + 5; int n, m, q; vector<int> g[N]; int root[N]; int f(int x) { if (x == root[x]) return x; return root[x] = f(root[x]); } int merge(int x, int y) { if (root[f(2 * x - 1)] == f(2 * y) and root[f(2 * y - 1)] == f(2 * x)) return -1; root[f(2 * x - 1)] = f(2 * y); root[f(2 * y - 1)] = f(2 * x); return f(2 * x) != f(2 * x - 1) and f(2 * y) != f(2 * y - 1); } void init() { for (int i = 1; i <= 2 * n; i++) { root[i] = i; g[i].clear(); g[i].push_back(i); } } class tree { public: bool ends; vector<pair<int, pair<int, int> > > v; tree() { ends = 0; } tree operator+(tree oth) { tree res; vector<pair<int, pair<int, int> > > e; e.resize(v.size() + oth.v.size()); merge(v.begin(), v.end(), oth.v.begin(), oth.v.end(), e.begin(), [&](pair<int, pair<int, int> > x, pair<int, pair<int, int> > y) { return x.first > y.first; }); init(); for (int i = 0; i < e.size(); i++) { int x, y; tie(x, y) = e[i].second; int m = merge(x, y); if (m >= 0) res.v.push_back(e[i]); if (m == 0) { res.ends = 1; break; } } return res; } } t[M << 1]; int main() { scanf("%d %d %d", &n, &m, &q); for (int i = 1; i <= m; i++) { int x, y, c; scanf("%d %d %d", &x, &y, &c); t[i + M].v.push_back({c, {x, y}}); } for (int i = M - 1; i >= 1; i--) t[i] = t[i + i] + t[i + i + 1]; for (int i = 1; i <= q; i++) { int l, r; scanf("%d %d", &l, &r); tree ans; for (l += M, r += M; l <= r; l = (l + 1) >> 1, r = (r - 1) >> 1) { if (l & 1) ans = ans + t[l]; if (~r & 1) ans = ans + t[r]; } if (!ans.ends) puts("-1"); else printf("%d\n", ans.v.back().first); } return 0; }
#include <bits/stdc++.h> using namespace std; int fa[2010], siz[2010], id[1000010], x[1000010], y[1000010], z[1000010]; int n, m, q; int cmp(int x, int y) { return z[x] > z[y]; } int find(int x) { if (x == fa[x]) return x; return fa[x] = find(fa[x]); } void merge(int x, int y) { int dx = find(x), dy = find(y); if (siz[dx] > siz[dy]) swap(dx, dy); siz[dy] += siz[dx]; fa[dx] = dy; } int read() { int ans = 0; char ch = getchar(); while (ch < '0' || ch > '9') ch = getchar(); while (ch >= '0' && ch <= '9') ans = (ans << 1) + (ans << 3) + ch - '0', ch = getchar(); return ans; } int main() { scanf("%d%d%d", &n, &m, &q); for (int i = 1; i <= m; i++) x[i] = read(), y[i] = read(), z[i] = read(); for (int i = 1; i <= m; i++) id[i] = i; sort(id + 1, id + m + 1, cmp); while (q--) { int dl = read(), dr = read(); int flag = 1; for (int i = 1; i <= n + n; i++) fa[i] = i, siz[i] = 1; for (int i = 1; i <= m; i++) if (id[i] >= dl && id[i] <= dr) { if (find(x[id[i]]) == find(y[id[i]])) { flag = 0; printf("%d\n", z[id[i]]); break; } else merge(x[id[i]], y[id[i]] + n), merge(x[id[i]] + n, y[id[i]]); } if (flag) printf("-1\n"); } }
#include <bits/stdc++.h> using namespace std; int n, m, q, w[1000001], u[1000001], v[1000001], id[1000001]; bool comp(int x, int y) { return w[x] < w[y]; } int rnk[1001], bipartite[1001]; pair<int, int> parent[1001]; void make_set(int v) { parent[v] = make_pair(v, 0); rnk[v] = 0; bipartite[v] = true; } pair<int, int> find_set(int v) { if (v != parent[v].first) { int parity = parent[v].second; parent[v] = find_set(parent[v].first); parent[v].second ^= parity; } return parent[v]; } bool unite(int a, int b) { pair<int, int> pa = find_set(a); a = pa.first; int x = pa.second; pair<int, int> pb = find_set(b); b = pb.first; int y = pb.second; if (a == b) { if (x == y) return false; } else { if (rnk[a] < rnk[b]) swap(a, b); parent[b] = make_pair(a, x ^ y ^ 1); bipartite[a] &= bipartite[b]; if (rnk[a] == rnk[b]) ++rnk[a]; } return true; } bool is_bipartite(int v) { return bipartite[find_set(v).first]; } 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]); id[i] = i; } sort(id + 1, id + m + 1, comp); while (q--) { int l, r; scanf("%d%d", &l, &r); for (int i = 1; i <= n; i++) { make_set(i); } int bip = 0; for (int i = m; i >= 1; i--) { int cur = id[i]; if (cur <= r && cur >= l) { if (!unite(u[cur], v[cur])) { printf("%d\n", w[cur]); bip = 1; break; } } } if (!bip) { printf("-1\n"); } } return 0; }
#include <bits/stdc++.h> using namespace std; 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) {} bool operator<(const Edge &e) const { return w > e.w; } } edge[(1010) * (1010)]; int fa[(1010) << 1], dep[(1010) << 1]; int n, m, q; int getfather(int x) { int root = x; while (root != fa[root]) root = fa[root]; while (x != root) { int temp = fa[x]; fa[x] = root; x = temp; } return root; } void union_set(int u, int v) { u = getfather(u); v = getfather(v); if (u == v) return; if (dep[u] < dep[v]) fa[v] = u; else { fa[u] = v; if (dep[u] == dep[v]) dep[v]++; } } int main() { scanf("%d%d%d", &n, &m, &q); for (int i = 1; i <= m; ++i) { int u, v, w; scanf("%d%d%d", &u, &v, &w); edge[i] = Edge(u, v, w, i); } sort(edge + 1, edge + m + 1); for (int i = 1; i <= q; ++i) { int l, r; scanf("%d%d", &l, &r); for (int j = 1; j <= (n << 1); ++j) fa[j] = j, dep[j] = 1; bool have_odd_cycle = 1; for (int j = 1; j <= m; ++j) { if (edge[j].id < l || edge[j].id > r) continue; int fu = getfather(edge[j].u); int fv = getfather(edge[j].v); if (fu == fv) { printf("%d\n", edge[j].w); have_odd_cycle = 0; break; } else { union_set(edge[j].u, edge[j].v + n); union_set(edge[j].v, edge[j].u + n); } } if (have_odd_cycle) printf("-1\n"); } return 0; }
#include <bits/stdc++.h> using namespace std; const int MX = 1005; int n, m, q, p[2 * MX]; struct Edge { int u, v, w, ind; Edge() {} Edge(int u, int v, int w, int ind) : u(u), v(v), w(w), ind(ind) {} bool operator<(const Edge &ot) const { return w > ot.w; } } e[MX * MX]; int parent(int a) { return a == p[a] ? a : p[a] = parent(p[a]); } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cin >> n >> m >> q; for (int i = 1; i <= m; i++) { int u, v, w; cin >> u >> v >> w; e[i] = {u, v, w, i}; } sort(e + 1, e + 1 + m); while (q--) { int l, r, f = 0; cin >> l >> r; iota(p, p + 2 * MX, 0); for (int i = 1; i <= m; i++) if (l <= e[i].ind && e[i].ind <= r) { int u = e[i].u, v = e[i].v; if (parent(2 * u) == parent(2 * v)) { cout << e[i].w << '\n'; f = 1; break; } else { p[parent(2 * u)] = parent(2 * v + 1); p[parent(2 * v)] = parent(2 * u + 1); } } if (!f) cout << -1 << '\n'; } return 0; }
#include <bits/stdc++.h> using namespace std; struct Edge { int u, v, w, id; bool operator<(const Edge &rhs) const { return w < rhs.w; } }; int p[1001]; bool col[1001]; int findset(int x) { if (x == p[x]) return x; int t = findset(p[x]); col[x] ^= col[p[x]]; return p[x] = t; } Edge edge[1000 * 999 / 2 + 1]; int main() { int n, m, q; scanf("%d %d %d", &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--) { int l, r; scanf("%d %d", &l, &r); for (int i = 1; i <= n; ++i) p[i] = i, col[i] = 0; int pos; for (pos = m; pos > 0; --pos) { if (edge[pos].id < l || edge[pos].id > r) continue; int u = findset(edge[pos].u); int v = findset(edge[pos].v); if (u != v) { if (col[edge[pos].u] == col[edge[pos].v]) col[u] ^= 1; p[u] = v; } else if (col[edge[pos].u] == col[edge[pos].v]) break; } printf("%d\n", pos == 0 ? -1 : edge[pos].w); } return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 1e3 + 7; const int maxm = 1e6 + 7; const int mod = 1e9 + 7; const int INF = 1e9 + 7; const int mlog = 21; const int SQ = 400; vector<int> adj[maxn]; int par[maxn]; int fi[maxm], se[maxm], we[maxm], ord[maxm]; bool col[maxn]; void dfs(int v, int Par = -1) { col[v] ^= 1; for (auto u : adj[v]) if (u != Par) dfs(u, v); } int get(int v) { return (par[v] < 0 ? v : par[v] = get(par[v])); } int merge(int v, int u) { bool change = col[v] ^ col[u]; int V = get(v); int U = get(u); if (V == U) { if (!change) return -1; return 0; } par[V] = U; if (!change) dfs(v); return 1; } bool cmp(int i, int j) { return (we[i] > we[j]); } int32_t main() { int n, m, q; scanf("%d%d%d", &n, &m, &q); for (int i = 0; i < m; i++) scanf("%d%d%d", fi + i, se + i, we + i), ord[i] = i, fi[i]--, se[i]--; sort(ord, ord + m, cmp); for (int rep = 0; rep < q; rep++) { for (int i = 0; i < n; i++) adj[i].clear(), par[i] = -1, col[i] = 0; int l, r, ans = -1; scanf("%d%d", &l, &r); l--; for (int i = 0; i < m; i++) { if (l <= ord[i] && ord[i] < r) { int v = fi[ord[i]]; int u = se[ord[i]]; int w = we[ord[i]]; int state = merge(v, u); if (state == 1) adj[v].push_back(u), adj[u].push_back(v); if (state == -1) { ans = w; break; } } } printf("%d\n", ans); } return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, q; struct data { int x, y, z, id; bool friend operator<(data a, data b) { return a.z > b.z; } } w[500005]; int F[1005 << 1]; int Find(int a) { if (F[a] == a) return a; return F[a] = Find(F[a]); } void con(int a, int b) { F[Find(a)] = Find(b); } int main() { scanf("%d%d%d", &n, &m, &q); for (int i = 1; i <= m; ++i) { scanf("%d%d%d", &w[i].x, &w[i].y, &w[i].z); w[i].id = i; } sort(w + 1, w + 1 + m); while (q--) { int l, r; scanf("%d%d", &l, &r); for (int i = 1; i <= (n << 1); ++i) F[i] = i; bool ok = 0; for (int i = 1; i <= m; ++i) { if (w[i].id < l || w[i].id > r) continue; int u = w[i].x, v = w[i].y, w = ::w[i].z; if (Find(u) == Find(v)) { ok = 1; printf("%d\n", w); break; } else { con(u, v + n); con(v, u + n); if (Find(u) == Find(u + n) || Find(v) == Find(v + n)) { ok = 1; printf("%d\n", w); break; } } } if (!ok) puts("-1"); } return 0; }
#include <bits/stdc++.h> using namespace std; long long read() { long long q = 0, w = 1; char ch = getchar(); while (ch > '9' || ch < '0') { if (ch == '-') w = -1; ch = getchar(); } while (ch >= '0' && ch <= '9') { q = q * 10 + (ch - '0'); ch = getchar(); } return q * w; } const long long N = 1000 + 95; const long long M = 1e6 + 95; long long n, m, q; struct Edge { long long u, v, w, num; } e[M]; vector<Edge> s; bool cmp(Edge x, Edge y) { return x.w > y.w; } long long fa[N << 1]; long long Find(long long x) { if (fa[x] == x) return x; return (fa[x] = Find(fa[x])); } int main() { n = read(); m = read(); q = read(); for (long long i = 1; i <= m; i++) { e[i].u = read(); e[i].v = read(); e[i].w = read(); e[i].num = i; } sort(e + 1, e + m + 1, cmp); while (q--) { long long u = read(), v = read(); for (long long i = 1; i <= (n << 1); i++) fa[i] = i; long long cnt = -1; for (long long i = 1; i <= m; i++) { if (e[i].num < u || v < e[i].num) continue; long long x = e[i].u, y = e[i].v; long long fax = Find(x), fay = Find(y); if (fax == fay) { cnt = e[i].w; break; } fa[fax] = Find(y + n); fa[fay] = Find(x + n); } cout << cnt << '\n'; } return 0; }
#include <bits/stdc++.h> using namespace std; inline int readChar(); template <class T = int> inline T readInt(); template <class T> inline void writeInt(T x, char end = 0); inline void writeChar(int x); inline void writeWord(const char *s); static const int buf_size = 4096; inline int getChar() { static char buf[buf_size]; static int len = 0, pos = 0; if (pos == len) pos = 0, len = fread(buf, 1, buf_size, stdin); if (pos == len) return -1; return buf[pos++]; } inline int readChar() { int c = getChar(); while (c <= 32) c = getChar(); return c; } template <class T> inline T readInt() { int s = 1, c = readChar(); T x = 0; if (c == '-') s = -1, c = getChar(); while ('0' <= c && c <= '9') x = x * 10 + c - '0', c = getChar(); return s == 1 ? x : -x; } static int write_pos = 0; static char write_buf[buf_size]; inline void writeChar(int x) { if (write_pos == buf_size) fwrite(write_buf, 1, buf_size, stdout), write_pos = 0; write_buf[write_pos++] = x; } template <class T> inline void writeInt(T x, char end) { if (x < 0) writeChar('-'), x = -x; char s[24]; int n = 0; while (x || !n) s[n++] = '0' + x % 10, x /= 10; while (n--) writeChar(s[n]); if (end) writeChar(end); } inline void writeWord(const char *s) { while (*s) writeChar(*s++); } struct Flusher { ~Flusher() { if (write_pos) fwrite(write_buf, 1, write_pos, stdout), write_pos = 0; } } flusher; inline void readWord(char *s) { int c = readChar(); while (c > 32) *s++ = c, c = getChar(); *s = 0; } inline void writeDouble(double x, int output_len) { if (x < 0) writeChar('-'), x = -x; int t = (int)x; writeInt(t), x -= t; writeChar('.'); for (int i = output_len - 1; i > 0; i--) { x *= 10; t = min(9, (int)x); writeChar('0' + t), x -= t; } x *= 10; t = min(9, (int)(x + 0.5)); writeChar('0' + t); } #pragma comment(linker, "/stack:200000000") #pragma GCC optimize("Ofast") #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native") #pragma GCC optimize("unroll-loops") using ll = long long; using ld = long double; using pii = pair<int, int>; using pll = pair<ll, ll>; using vi = vector<int>; using vll = vector<ll>; using ull = unsigned long long; const int maxn = 5e5; const int mod = 998244353; const int M = 1e9 + 7; const int inf = 1e9; const ll inf64 = 1e18L; const ld pi = acos((ld)-1.0); const ld eps = (ld)1e-6; const int di[] = {1, 1, -1, -1, 2, 2, -2, -2}; const int dj[] = {2, -2, 2, -2, 1, -1, 1, -1}; const int dii[] = {0, 1, -1, 0}; const int djj[] = {1, 0, 0, -1}; const int dx[] = {1, 1, -1, -1}; const int dy[] = {1, -1, 1, -1}; const int SQ = 1000; const int L = 19; const int HF = 65536; struct DSU { int n; vi p, s, he; DSU(int n) : p(n + 1), s(n + 1, 1), he(n + 1, n) { iota(p.begin(), p.end(), 0); s[n] = 0; } int get(int v) { return p[v] == v ? v : p[v] = get(p[v]); } bool dif(int u, int v) { if ((u = get(u)) == (v = get(v))) return false; else { if (he[u] != v) { int A = u, B = he[v]; int C = v, D = he[u]; { if (s[A] < s[B]) swap(A, B); s[A] += s[B]; p[B] = A; } { if (s[C] < s[D]) swap(C, D); s[C] += s[D]; p[D] = C; } he[A] = C; he[C] = A; } return true; } } }; struct edge { int u, v, w, id; bool operator<(const edge &he) const { return w > he.w; } } a[499500]; int n, m, q; int main() { ios::sync_with_stdio(0), cin.tie(0), cout.tie(0); n = readInt(); m = readInt(); q = readInt(); for (int i = 0; i < m; i++) { a[i] = {readInt() - 1, readInt() - 1, readInt(), i}; } sort(a, a + m); while (q--) { int l = readInt() - 1, r = readInt() - 1; int ans = -1; DSU dsu(n); for (int i = 0; i < m && ans == -1; i++) { if (l <= a[i].id && a[i].id <= r && !dsu.dif(a[i].u, a[i].v)) { ans = a[i].w; } } writeInt(ans, '\n'); } }
#include <bits/stdc++.h> using namespace std; inline int read() { int w = 0, x = 0; char c = getchar(); while (!isdigit(c)) w |= c == '-', c = getchar(); while (isdigit(c)) x = x * 10 + (c ^ 48), c = getchar(); return w ? -x : x; } namespace star { const int maxn = 1005; int n, m, q, fa[maxn << 1]; struct edge { int u, v, dis, id; inline bool operator<(const edge &zp) const { return dis > zp.dis; } } a[maxn * maxn]; int find(int x) { return fa[x] == x ? x : fa[x] = find(fa[x]); } inline void onion(int x, int y) { fa[find(x)] = find(y); } inline void work() { n = read(), m = read(), q = read(); for (int i = 1; i <= m; i++) a[i].u = read(), a[i].v = read(), a[i].dis = read(), a[i].id = i; sort(a + 1, a + 1 + m); while (q--) { int l = read(), r = read(), ans = -1; for (int i = 1; i <= n << 1; i++) fa[i] = i; for (int i = 1; i <= m; i++) { if (a[i].id > r or a[i].id < l) continue; if (find(a[i].u) == find(a[i].v)) { ans = a[i].dis; break; } else onion(a[i].u, a[i].v + n), onion(a[i].v, a[i].u + n); } printf("%d\n", ans); } } } // namespace star signed main() { star::work(); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 1e3 + 5; const int maxm = 1e6 + 5; int readint() { int x = 0, f = 1; char s = getchar(); while (s < '0' || s > '9') { if (s == '-') f = -1; (s = getchar()); } while (s >= '0' && s <= '9') { x = (x << 3) + (x << 1) + (s ^ 48); (s = getchar()); } return x * f; } struct edge { int u, v, id, w; } e[maxm]; bool cmp(const edge &x, const edge &y) { return x.w > y.w; } int fa[maxn << 1]; int findset(int x) { if (x != fa[x]) fa[x] = findset(fa[x]); return fa[x]; } int main() { int n = readint(), m = readint(), q = readint(); for (int i = 1; i <= m; i++) { e[i].u = readint(), e[i].v = readint(), e[i].w = readint(); e[i].id = i; } sort(e + 1, e + m + 1, cmp); while (q--) { int ans = -1; int l = readint(), r = readint(); for (int i = 1; i <= (n << 1); i++) { fa[i] = i; } for (int i = 1; i <= m; i++) { if (e[i].id < l || e[i].id > r) continue; int fu = findset(e[i].u), fv = findset(e[i].v); if (fu == fv) { ans = e[i].w; break; } else { int fu1 = findset(e[i].u + n), fv1 = findset(e[i].v + n); if (fu != fv1) fa[fu] = fv1; if (fu1 != fv) fa[fu1] = fv; } } printf("%d\n", ans); } return 0; }
#include <bits/stdc++.h> using namespace std; int INF = 1100000000; struct unionfind { vector<int> p, sz; unionfind(int N) { p = vector<int>(N, -1); sz = vector<int>(N, 1); } int root(int x) { if (p[x] == -1) { return x; } else { p[x] = root(p[x]); return p[x]; } } bool same(int x, int y) { return root(x) == root(y); } void unite(int x, int y) { x = root(x); y = root(y); if (x != y) { if (sz[x] > sz[y]) { p[y] = x; sz[x] += sz[y]; } else { p[x] = y; sz[y] += sz[x]; } } } }; int main() { int n, m, q; cin >> n >> m >> q; vector<tuple<int, int, int, int>> E(m); for (int i = 0; i < m; i++) { int u, v, w; cin >> u >> v >> w; u--; v--; E[i] = make_tuple(w, u, v, i); } sort(E.rbegin(), E.rend()); for (int i = 0; i < q; i++) { int l, r; cin >> l >> r; l--; r--; unionfind UF(n * 2); int ans = INF; for (int j = 0; j < m; j++) { int w = get<0>(E[j]); int u = get<1>(E[j]); int v = get<2>(E[j]); int id = get<3>(E[j]); if (l <= id && id <= r) { UF.unite(u * 2, v * 2 + 1); UF.unite(u * 2 + 1, v * 2); if (UF.same(u * 2, u * 2 + 1) || UF.same(v * 2, v * 2 + 1)) { ans = w; break; } } } if (ans == INF) { cout << -1 << endl; } else { cout << ans << endl; } } }
#include <bits/stdc++.h> using namespace std; inline char gc() { static char buf[100000], *p1 = buf, *p2 = buf; return p1 == p2 && (p2 = (p1 = buf) + fread(buf, 1, 100000, stdin), p1 == p2) ? EOF : *p1++; } inline int read() { int x = 0; char ch = getchar(); bool positive = 1; for (; !isdigit(ch); ch = getchar()) if (ch == '-') positive = 0; for (; isdigit(ch); ch = getchar()) x = x * 10 + ch - '0'; return positive ? x : -x; } inline void write(int a) { if (a >= 10) write(a / 10); putchar('0' + a % 10); } inline void writeln(int a) { if (a < 0) { a = -a; putchar('-'); } write(a); puts(""); } const int N = 1005; int n, m, q, father[N], dist[N]; pair<pair<int, int>, pair<int, int> > a[1000005]; inline int getfather(int x) { if (x == father[x]) return x; int f = getfather(father[x]); dist[x] ^= dist[father[x]]; return father[x] = f; } inline int query(int l, int r) { for (int i = 1; i <= n; i++) { father[i] = i; dist[i] = 0; } for (int i = m; i; i--) { if (a[i].first.second < l || a[i].first.second > r) continue; int t1 = getfather(a[i].second.first), t2 = getfather(a[i].second.second); if (t1 == t2) { if ((dist[a[i].second.first] ^ dist[a[i].second.second]) == 0) return a[i].first.first; else continue; } father[t1] = t2; dist[t1] = dist[a[i].second.first] ^ dist[a[i].second.second] ^ 1; } return -1; } int main() { n = read(); m = read(); q = read(); for (int i = 1; i <= m; i++) { int u = read(), v = read(), w = read(); a[i] = make_pair(make_pair(w, i), make_pair(u, v)); } sort(&a[1], &a[m + 1]); while (q--) { int l = read(), r = read(); writeln(query(l, r)); } }
#include <bits/stdc++.h> using namespace std; const int MAXN = 1e3 + 5; int rep[MAXN]; bool col[MAXN]; int siz[MAXN]; int fam[MAXN][MAXN]; struct union_find { union_find(int N) { for (int i = 0; i < N; i++) { rep[i] = i; col[i] = false; siz[i] = 1; fam[i][0] = i; } } bool unio(int a, int b) { bool flip = col[a] == col[b]; a = rep[a], b = rep[b]; if (siz[a] < siz[b]) swap(a, b); for (int i = 0; i < siz[b]; i++) { int v = fam[b][i]; col[v] = col[v] ^ flip; rep[v] = a; fam[a][siz[a]++] = v; } return true; } }; int main() { ios_base::sync_with_stdio(false); cin.tie(0), cout.tie(0); cout << fixed << setprecision(15); int N, M, Q; scanf("%d %d %d", &N, &M, &Q); vector<int> u(M), v(M), w(M); for (int i = 0; i < M; i++) { scanf("%d %d %d", &u[i], &v[i], &w[i]); u[i]--, v[i]--; } vector<int> l(Q), r(Q), ans(Q); for (int i = 0; i < Q; i++) { scanf("%d %d", &l[i], &r[i]); l[i]--, r[i]--; } vector<int> inx(M); for (int i = 0; i < M; i++) inx[i] = i; sort(inx.begin(), inx.end(), [&](int i, int j) { return w[i] > w[j]; }); for (int q = 0; q < Q; q++) { union_find uf(N); for (int e : inx) { if (ans[q]) break; if (l[q] > e || r[q] < e) continue; if (rep[u[e]] == rep[v[e]]) { if (col[u[e]] == col[v[e]]) ans[q] = w[e]; } else { uf.unio(u[e], v[e]); } } } for (int v : ans) { printf("%d\n", v ? v : -1); } return 0; }
#include <bits/stdc++.h> using namespace std; struct UnionFind { vector<int> data; UnionFind(int sz) : data(sz, -1) {} int find(int k) { return (data[k] < 0 ? k : (data[k] = find(data[k]))); } void unite(int x, int y) { x = find(x); y = find(y); if (x == y) return; if (data[x] < data[y]) swap(x, y); data[x] += data[y]; data[y] = x; } }; int main() { int N, M, Q, U[1000 * 999 / 2], V[1000 * 999 / 2], W[1000 * 999 / 2]; scanf("%d %d %d", &N, &M, &Q); vector<int> idx(M); for (int i = 0; i < M; i++) { scanf("%d %d %d", U + i, V + i, W + i); idx[i] = i; --U[i]; --V[i]; } sort(begin(idx), end(idx), [&](const int& a, const int& b) { return (W[a] > W[b]); }); while (Q--) { int L, R; scanf("%d %d", &L, &R); --L; --R; UnionFind tree(N + N); int ret = -1; for (int i : idx) { if (L <= i && i <= R) { int x = U[i], y = V[i]; if (tree.find(x) == tree.find(N + y)) continue; tree.unite(x, N + y); tree.unite(y, N + x); if (tree.find(x) == tree.find(y)) { ret = W[i]; break; } } } printf("%d\n", ret); } }
#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); } }
#include <bits/stdc++.h> using namespace std; const int mod = 1000000007; int n, m, q, a[1000005], b[1000005], w[1000005]; vector<int> t[4 * 1000005], c[4 * 1000005]; pair<int, int> par[1005]; int sz[1005]; pair<int, int> Find(int v) { if (v != par[v].first) { int w = par[v].second; par[v] = Find(par[v].first); par[v].second ^= w; } return par[v]; } int Union(int a, int b) { pair<int, int> pa = Find(a); int x = pa.second; a = pa.first; pair<int, int> pb = Find(b); int y = pb.second; b = pb.first; if (a == b) { if (x == y) return -1; return 1; } if (sz[a] < sz[b]) swap(a, b); par[b] = {a, x ^ y ^ 1}; sz[a] += sz[b]; return 0; } void MERGE(vector<int> &c, vector<int> &a, vector<int> &b) { int i = 0, j = 0, n = a.size(), m = b.size(); while (i != n || j != m) { if (j == m || (i != n && w[a[i]] > w[b[j]])) c.push_back(a[i++]); else c.push_back(b[j++]); } } void build(int v, int tl, int tr) { int m = (tl + tr) / 2, i; if (tl == tr) { t[v].push_back(tl); return; } build(v * 2, tl, m); build(v * 2 + 1, m + 1, tr); MERGE(t[v], t[v * 2], t[v * 2 + 1]); for (i = 0; i < t[v].size(); i++) { int u = a[t[v][i]]; par[u] = {u, 0}; sz[u] = 1; u = b[t[v][i]]; par[u] = {u, 0}; sz[u] = 1; } vector<int> nw; for (i = 0; i < t[v].size(); i++) { int x = Union(a[t[v][i]], b[t[v][i]]); if (x != 1) nw.push_back(t[v][i]); if (x == -1) break; } swap(t[v], nw); } void get(int v, int tl, int tr, int l, int r) { int m = (tl + tr) / 2, i; if (l > r) return; if (tl == l && tr == r) { c[v] = t[v]; return; } get(v * 2, tl, m, l, min(m, r)); get(v * 2 + 1, m + 1, tr, max(l, m + 1), r); if (c[v * 2].empty()) swap(c[v], c[v * 2 + 1]); if (c[v * 2 + 1].empty()) swap(c[v], c[v * 2]); if (c[v].empty()) MERGE(c[v], c[v * 2], c[v * 2 + 1]); c[v * 2].clear(); c[v * 2 + 1].clear(); } int main() { ios_base ::sync_with_stdio(false); cin.tie(); int i; cin >> n >> m >> q; for (i = 0; i < m; i++) { cin >> a[i] >> b[i] >> w[i]; a[i]--; b[i]--; } build(1, 0, m - 1); while (q--) { int l, r; cin >> l >> r; l--; r--; get(1, 0, m - 1, l, r); vector<int> s; swap(s, c[1]); for (i = 0; i < s.size(); i++) { int v = a[s[i]]; par[v] = {v, 0}; sz[v] = 1; v = b[s[i]]; par[v] = {v, 0}; sz[v] = 1; } for (i = 0; i < s.size(); i++) { int x = Union(a[s[i]], b[s[i]]); if (x == -1) { cout << w[s[i]] << "\n"; break; } } if (i == s.size()) cout << "-1\n"; } return 0; }
#include <bits/stdc++.h> const int N = 2005; using namespace std; vector<pair<int, int>> es; vector<int> par(N, 1), U(N*N), V(N*N), A1(N*N), A2(N*N); int F(int u) { if (u == par[u]) return u; return par[u] = F(par[u]); } int n, m, q, el, l, r; int main() { ios_base::sync_with_stdio(0); cout.tie(0); cin.tie(0); cin >> n >> m >> q; for (int i = 1; i <= m; i++) { cin >> U[i] >> V[i] >> el; es.push_back({el, i}); } sort(es.begin(), es.end()); reverse(es.begin(), es.end()); for (int i = 1; i <= m; i++) { A1[i] = es[i - 1].second; A2[i] = es[i - 1].first; } while (q--) { cin >> l >> r; for (int i = 1; i <= 2 * n; i++) par[i] = i; int ans = -1; for (int i = 1; i <= m; i++) { if (l <= A1[i] && A1[i] <= r) { int u = U[A1[i]], v = V[A1[i]]; if (F(u) == F(v)) { ans = A2[i]; break; } par[F(u + n)] = F(v); par[F(v + n)] = F(u); } } cout << ans << '\n'; } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1005; const int M = 500010; int n, m, q; int X[M], Y[M], Z[M]; struct qt { vector<int> a; void print() { printf("OZY:"); for (int u = 0; u < a.size(); u++) printf("%d ", a[u]); printf("\n"); }; }; struct qq { int l, r; qt c; int s1, s2; } tr[M * 2]; int num; int f[N], g[N]; int find(int x) { if (f[x] == x) return f[x]; int t = f[x]; f[x] = find(f[x]); g[x] = (g[x] ^ g[t]); return f[x]; } int p[N * 2]; qt Merge(qt x, qt y) { int cnt = 0; qt o; int a = x.a.size(), b = y.a.size(); int now = 0, now1 = 0; while (now < a && now1 < b) { if (Z[x.a[now]] > Z[y.a[now1]]) p[++cnt] = x.a[now++]; else p[++cnt] = y.a[now1++]; } while (now < a) p[++cnt] = x.a[now++]; while (now1 < b) p[++cnt] = y.a[now1++]; for (int u = 1; u <= n; u++) f[u] = u, g[u] = 0; for (int u = 1; u <= cnt; u++) { int xx = X[p[u]], yy = Y[p[u]]; int fx = find(xx), fy = find(yy); if (fx != fy) { g[fx] = (g[xx] ^ g[yy] ^ 1); f[fx] = fy; o.a.push_back(p[u]); } else if (g[xx] != g[yy]) continue; else { o.a.push_back(p[u]); break; } } return o; } void bt(int l, int r) { int a = ++num; tr[a].l = l; tr[a].r = r; if (l == r) { tr[a].c.a.push_back(l); return; } int mid = (l + r) >> 1; tr[a].s1 = num + 1; bt(l, mid); tr[a].s2 = num + 1; bt(mid + 1, r); tr[a].c = Merge(tr[tr[a].s1].c, tr[tr[a].s2].c); } qt find(int now, int l, int r) { if (tr[now].l == l && tr[now].r == r) { return tr[now].c; } int mid = (tr[now].l + tr[now].r) >> 1; int s1 = tr[now].s1, s2 = tr[now].s2; if (r <= mid) return find(s1, l, r); else if (l > mid) return find(s2, l, r); else return Merge(find(s1, l, mid), find(s2, mid + 1, r)); } int main() { scanf("%d%d%d", &n, &m, &q); for (int u = 1; u <= m; u++) scanf("%d%d%d", &X[u], &Y[u], &Z[u]); num = 0; bt(1, m); for (int u = 1; u <= q; u++) { int l, r; scanf("%d%d", &l, &r); qt ans = find(1, l, r); int tot = ans.a.size(); int lalal = -1; for (int u = 1; u <= n; u++) f[u] = u; for (int u = 0; u < tot; u++) { int x = X[ans.a[u]], y = Y[ans.a[u]], z = Z[ans.a[u]]; int fx = find(x), fy = find(y); if (fx != fy) f[fx] = fy; else { lalal = z; break; } } printf("%d\n", lalal); } return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 1010; struct in { int u, v, w, id; bool operator<(const in &x) const { return w > x.w; } }; in a[maxn * maxn]; int fa[maxn << 1], dis[maxn]; int find(int x) { if (x != fa[x]) { int fx = find(fa[x]); dis[x] ^= dis[fa[x]]; fa[x] = fx; } return fa[x]; } bool Union(int x, int y) { int fx = find(x), fy = find(y); if (fx == fy) { if (dis[x] == dis[y]) return false; return true; } fa[fx] = fy; dis[fx] = dis[x] ^ dis[y] ^ 1; return true; } int main() { int N, M, Q, L, R; scanf("%d%d%d", &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); for (int i = 1; i <= Q; i++) { int ans = -1; scanf("%d%d", &L, &R); for (int j = 1; j <= N; j++) fa[j] = j, dis[j] = 0; for (int j = 1; j <= M; j++) { if (a[j].id < L || a[j].id > R) continue; if (!Union(a[j].u, a[j].v)) { ans = a[j].w; break; } } printf("%d\n", ans); } return 0; }
#include <bits/stdc++.h> using namespace std; struct DisjointSets { int N; vector<int> representatives; DisjointSets(const int N) : N(N), representatives(N) { iota(begin(representatives), end(representatives), 0); } int find(const int n) { if (representatives[n] != n) representatives[n] = find(representatives[n]); return representatives[n]; } void merge(const int n, const int m) { representatives[find(n)] = find(m); } }; int main() { ios::sync_with_stdio(false); cin.tie(nullptr); struct Edge { int index, v, w, weight; }; int n, m, q; cin >> n >> m >> q; auto edges = vector<Edge>(m); for (auto i = 0; i < m; i++) { int v, w, weight; cin >> v >> w >> weight; v--; w--; edges[i] = {i, v, w, weight}; } sort(begin(edges), end(edges), [](const Edge a, const Edge b) { return a.weight > b.weight; }); const auto solve = [&](const int l, const int r) { auto components = DisjointSets(2 * n); for (const auto e : edges) if (l <= e.index && e.index <= r) { if (components.find(2 * e.v) == components.find(2 * e.w)) return e.weight; components.merge(2 * e.v, 2 * e.w + 1); components.merge(2 * e.v + 1, 2 * e.w); } return -1; }; for (auto i = 0; i < q; i++) { int l, r; cin >> l >> r; l--; r--; cout << solve(l, r) << "\n"; } }
#include <bits/stdc++.h> using namespace std; void read(int &x) { int v = 0, f = 1; char c = getchar(); while (!isdigit(c) && c != '-') c = getchar(); if (c == '-') f = -1; else v = v * 10 + c - '0'; while (isdigit(c = getchar())) v = v * 10 + c - '0'; x = v * f; } void read(long long &x) { long long v = 0ll, f = 1ll; char c = getchar(); while (!isdigit(c) && c != '-') c = getchar(); if (c == '-') f = -1; else v = v * 10 + c - '0'; while (isdigit(c = getchar())) v = v * 10 + c - '0'; x = v * f; } void readc(char &x) { char c; while ((c = getchar()) == ' ') ; x = c; } void writes(string s) { puts(s.c_str()); } void writeln() { writes(""); } void writei(int x) { if (x < 0) { putchar('-'); x = abs(x); } if (!x) putchar('0'); char a[25]; int top = 0; while (x) { a[++top] = (x % 10) + '0'; x /= 10; } while (top) { putchar(a[top]); top--; } } void writell(long long x) { if (x < 0) { putchar('-'); x = abs(x); } if (!x) putchar('0'); char a[25]; int top = 0; while (x) { a[++top] = (x % 10) + '0'; x /= 10; } while (top) { putchar(a[top]); top--; } } inline long long inc(int &x) { return ++x; } inline long long inc(long long &x) { return ++x; } inline long long inc(int &x, long long y) { return x += y; } inline long long inc(long long &x, long long y) { return x += y; } inline double inc(double &x, double y) { return x += y; } inline long long dec(int &x) { return --x; } inline long long dec(long long &x) { return --x; } inline long long dec(int &x, long long y) { return x -= y; } inline long long dec(long long &x, long long y) { return x -= y; } inline double dec(double &x, double y) { return x -= y; } inline long long mul(int &x) { return x = ((long long)x) * x; } inline long long mul(long long &x) { return x = x * x; } inline long long mul(int &x, long long y) { return x *= y; } inline long long mul(long long &x, long long y) { return x *= y; } inline double mul(double &x, double y) { return x *= y; } inline long long divi(const int &x) { long long ans, l, r, mid; ans = 0; l = 0; r = 0x3fffffff; while (l < r) { mid = (l + r) / 2; if (mid * mid <= x) { ans = mid; l = mid + 1; } else r = mid; } return ans; } inline long long divi(const long long &x) { long long ans, l, r, mid; ans = 0; l = 0; r = 0x3fffffff; while (l < r) { mid = (l + r) / 2; if (mid * mid <= x) { ans = mid; l = mid + 1; } else r = mid; } return ans; } inline long long divi(int &x, long long y) { return x /= y; } inline long long divi(long long &x, long long y) { return x /= y; } inline double divi(double &x, double y) { return x /= y; } inline long long mod(int &x, long long y) { return x %= y; } inline long long mod(long long &x, long long y) { return x %= y; } struct ee { int x, y, z, id; } e[500005]; bool cmp(ee x, ee y) { return x.z > y.z; } int n, m, i, j, q, fa[1000005], l, r; int fnd(int x) { if (fa[x] == x) return x; return fa[x] = fnd(fa[x]); } int main() { read(n); read(m); read(q); if ((1) <= ((m))) for (((i)) = (1); ((i)) <= ((m)); ((i))++) { e[i].id = i; read(e[i].x); read(e[i].y); read(e[i].z); } stable_sort(e + 1, e + m + 1, cmp); while (q--) { read(l); read(r); if ((1) <= ((n + n))) for (((i)) = (1); ((i)) <= ((n + n)); ((i))++) fa[i] = i; if ((1) <= ((m))) for (((i)) = (1); ((i)) <= ((m)); ((i))++) { if (e[i].id < l || e[i].id > r) continue; if (fnd(e[i].x) == fnd(e[i].y)) break; if (fnd(e[i].x + n) == fnd(e[i].y + n)) break; fa[fnd(e[i].x)] = fnd(e[i].y + n); fa[fnd(e[i].y)] = fnd(e[i].x + n); } if (i > m) puts("-1"); else printf("%d\n", e[i].z); } return 0; }
#include <bits/stdc++.h> using namespace std; #pragma GCC diagnostic ignored "-Wmissing-declarations" inline int safe_mul(int x, int y) __attribute__((warn_unused_result)); int const maxn = 1003; int parent[maxn]; int val[maxn]; struct Edge { int index; int cost; int u; int v; }; inline bool operator<(const Edge& a, const Edge& b) { return a.cost > b.cost; } Edge edges[maxn * maxn / 2]; int temp[maxn]; inline int get_parent(int v) { int cur = v; temp[0] = v; int top = 0; while (cur != parent[cur]) { cur = parent[cur]; temp[++top] = cur; } int curval = 0; for (int i = top - 1; i >= 0; --i) { curval ^= val[temp[i]]; val[temp[i]] = curval; parent[temp[i]] = cur; } return cur; } int main() { int n, m, q; scanf("%d %d %d", &n, &m, &q); for (int i = 0; i < m; ++i) { scanf("%d %d %d", &edges[i].u, &edges[i].v, &edges[i].cost); edges[i].index = i + 1; } sort(edges, edges + m); for (int tst = 0; tst < q; ++tst) { int l, r; scanf("%d %d", &l, &r); for (int i = 1; i <= n; ++i) parent[i] = i; fill(val, val + maxn, 0); int ans = -1; for (int i = 0; i < m; ++i) { if (edges[i].index >= l && edges[i].index <= r) { int x = get_parent(edges[i].v); int y = get_parent(edges[i].u); int valx = val[edges[i].v] ^ val[x]; int valy = val[edges[i].u] ^ val[y]; if (x == y) { if (valx == valy) { ans = edges[i].cost; break; } } else { if (valx == valy) val[x] ^= 1; parent[x] = y; } } } printf("%d\n", ans); } }
#include <bits/stdc++.h> using namespace std; string Next() { string S; cin >> S; return S; } int NextInt() { int n; scanf("%d", &n); return n; } long long NextLong() { long long n; scanf("%lld", &n); return n; } struct Edge { int u, v, w, i; bool operator<(const Edge &d) const { return w > d.w; } }; const int N = (int)1e3 + 10; const int M = (int)1e6 + 10; int n, m, q, p[N], d[N]; Edge E[M]; int Root(int u) { if (p[u] < 0) return u; int x = Root(p[u]); d[u] ^= d[p[u]]; return p[u] = x; } int Height(int u) { Root(u); return d[u]; } void Merge(int u, int v) { int x = Root(u), y = Root(v); if (p[x] > p[y]) { swap(x, y); swap(u, v); } p[x] += p[y]; p[y] = x; d[y] ^= d[u] ^ d[v] ^ 1; } int main() { scanf("%d%d%d", &n, &m, &q); for (int i = 1; i <= m; ++i) scanf("%d%d%d", &E[i].u, &E[i].v, &E[i].w), E[i].i = i; sort(E + 1, E + 1 + m); while (q--) { int l = NextInt(), r = NextInt(); for (int i = 1; i <= n; ++i) p[i] = -1, d[i] = 0; int ans = -1; for (int i = 1; i <= m; ++i) if (l <= E[i].i && E[i].i <= r) { int u = E[i].u, v = E[i].v; if (Root(u) != Root(v)) Merge(u, v); else { if (Height(u) == Height(v)) { ans = E[i].w; break; } } } printf("%d\n", ans); } return 0; }
#include <bits/stdc++.h> #pragma GCC optimize("Ofast") #pragma GCC target("avx,avx2,fma") using namespace std; mt19937 rnd(chrono::steady_clock::now().time_since_epoch().count()); mt19937 rnf(2106); const int N = 1003; struct ban { int i; int x, y, d; }; bool operator<(const ban& a, const ban& b) { return a.d < b.d; } bool soi(const ban& a, const ban& b) { return a.i < b.i; } int n, m, q; ban a[N * N]; int p[N]; int r[N]; vector<pair<int, int> > v; int first(int x) { if (p[x] == x) return x; v.push_back(make_pair(x, p[x])); return p[x] = first(p[x]); } int kpc(int x, int y) { x = first(x); y = first(y); if (x == y) return -1; v.push_back(make_pair(n + x, r[x])); v.push_back(make_pair(n + y, r[y])); r[x] = first(r[x]); r[y] = first(r[y]); if (p[r[x]] == y && p[r[y]] == x) return 0; if (r[x]) { v.push_back(make_pair(r[x], p[r[x]])); p[r[x]] = y; } if (r[y]) { v.push_back(make_pair(r[y], p[r[y]])); p[r[y]] = x; } v.push_back(make_pair(n + x, r[x])); v.push_back(make_pair(n + y, r[y])); r[x] = y; r[y] = x; return 1; } vector<int> t[N * N * 2]; void bil(int tl, int tr, int pos) { if (tl != tr) { int m = (tl + tr) / 2; bil(tl, m, pos * 2); bil(m + 1, tr, pos * 2 + 1); vector<ban> v; int j = m + 1; for (int i = tl; i <= m; ++i) { while (j <= tr && a[j].d <= a[i].d) v.push_back(a[j++]); v.push_back(a[i]); } while (j <= tr) v.push_back(a[j++]); for (int i = tl; i <= tr; ++i) a[i] = v[i - tl]; } for (int i = tr; i >= tl; --i) { int kk = kpc(a[i].x, a[i].y); if (kk == -1) { t[pos].push_back(a[i].i); break; } else if (kk == 1) { t[pos].push_back(a[i].i); } } for (int i = ((int)(v).size()) - 1; i >= 0; --i) { if (v[i].first <= n) p[v[i].first] = v[i].second; else r[v[i].first - n] = v[i].second; } v.clear(); } vector<ban> u; void qry(int tl, int tr, int l, int r, int pos) { if (l > r) return; if (tl == l && tr == r) { for (int i = 0; i < ((int)(t[pos]).size()); ++i) u.push_back(a[t[pos][i]]); return; } int m = (tl + tr) / 2; qry(m + 1, tr, max(m + 1, l), r, pos * 2 + 1); qry(tl, m, l, min(m, r), pos * 2); } void solv() { cin >> n >> m >> q; for (int i = 1; i <= m; ++i) { a[i].i = i; cin >> a[i].x >> a[i].y >> a[i].d; } for (int i = 1; i <= n; ++i) { p[i] = i; } bil(1, m, 1); sort(a + 1, a + m + 1, soi); for (int i = 1; i <= q; ++i) { int L, R; cin >> L >> R; u.clear(); qry(1, m, L, R, 1); sort((u).begin(), (u).end()); int ans = -1; for (int j = ((int)(u).size()) - 1; j >= 0; --j) { if (kpc(u[j].x, u[j].y) == -1) { ans = u[j].d; break; } } for (int i = ((int)(v).size()) - 1; i >= 0; --i) { if (v[i].first <= n) p[v[i].first] = v[i].second; else r[v[i].first - n] = v[i].second; } v.clear(); cout << ans << "\n"; } } int main() { ios_base::sync_with_stdio(false), cin.tie(0); int tt = 1; while (tt--) { solv(); } return 0; }
#include <bits/stdc++.h> using namespace std; inline int read() { int t = 1, sum = 0; char ch = getchar(); while (ch < '0' || ch > '9') { if (ch == '-') t = -1; ch = getchar(); } while (ch >= '0' && ch <= '9') sum = sum * 10 + ch - '0', ch = getchar(); return t * sum; } const int _N = 1e3 + 10, _M = 5e5 + 10; int fa[_N], col[_N], n, m, ans, Ans; struct edge { int u, v, w; void init() { fa[u] = u; fa[v] = v; col[u] = col[v] = 0; } } _e[_M]; vector<edge> E[_M << 2], ans1, ans2; int find_fa(int x) { if (fa[x] == x) return x; int F = find_fa(fa[x]); col[x] ^= col[fa[x]]; return fa[x] = F; } int make_tg(int u, int v) { int x = find_fa(u), y = find_fa(v); if (x == y) if (col[u] == col[v]) return 2; else return 0; col[x] ^= col[u] ^ 1 ^ col[v]; fa[x] = y; return 1; } void merge(vector<edge> &a, vector<edge> &b, vector<edge> &c) { edge now; c.clear(); int i, j, k; for (i = 0; i < a.size(); i++) a[i].init(); for (i = 0; i < b.size(); i++) b[i].init(); i = j = 0; while (i < a.size() || j < b.size()) { if (i < a.size() && (j == b.size() || a[i].w > b[j].w)) now = a[i++]; else now = b[j++]; k = make_tg(now.u, now.v); if (k) { c.push_back(now); if (k == 2) { ans = now.w; break; } } } } void build(int o, int l, int r) { if (l == r) { E[o].push_back(_e[l]); return; } int mid = l + r >> 1; build(o << 1, l, mid); build(o << 1 | 1, mid + 1, r); merge(E[o << 1], E[o << 1 | 1], E[o]); } void query(int o, int l, int r, int L, int R) { if (L <= l && r <= R) { if (r == R) ans = -1; merge(ans1, E[o], ans2), swap(ans1, ans2); if (r == R) Ans = ans; return; } int mid = l + r >> 1; if (L <= mid) query(o << 1, l, mid, L, R); if (R > mid) query(o << 1 | 1, mid + 1, r, L, R); } int main() { int i, x, y, Q; n = read(); m = read(); Q = read(); for (i = 1; i <= m; i++) _e[i].u = read(), _e[i].v = read(), _e[i].w = read(); build(1, 1, m); while (Q--) { x = read(); y = read(); ans1.clear(); ans2.clear(); query(1, 1, m, x, y); printf("%d\n", Ans); } 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; if (sz[fu] > sz[fv]) std::swap(fu, fv); 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, id; Edge() {} Edge(int _u, int _v, int _w, int _id) : u(_u), v(_v), w(_w), id(_id) {} inline bool operator<(const Edge &rhs) const { return w > rhs.w; } }; vector<Edge> e; int n, m, q, l, r, f[2005], rnk[2005]; inline int gf(int x) { return x == f[x] ? x : f[x] = gf(f[x]); } inline void merge(int x, int y) { x = gf(x), y = gf(y); if (x == y) return; if (rnk[x] < rnk[y]) f[x] = y; else { f[y] = x; if (rnk[x] == rnk[y]) rnk[x]++; } } inline int query() { for (int i = 1; i <= n + n; i++) { f[i] = i; rnk[i] = 0; } for (unsigned i = 0; i < e.size(); i++) { if (e[i].id < l || e[i].id > r) continue; int u = e[i].u, v = e[i].v, fu = gf(u), fv = gf(v); if (fu != fv) { merge(u, v + n); merge(v, u + n); } else return e[i].w; } return -1; } int main() { scanf("%d%d%d", &n, &m, &q); for (int i = 1, x, y, z; i <= m; i++) { scanf("%d%d%d", &x, &y, &z); e.push_back(Edge(x, y, z, i)); } sort(e.begin(), e.end()); while (q--) { scanf("%d%d", &l, &r); printf("%d\n", query()); } 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], color[N]; int find(int x) { if (p[x] < 0) return x; int bef = p[x]; p[x] = find(p[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--) { memset(p, -1, sizeof p); memset(color, 0, sizeof color); 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; struct node { int from, to, val; int id; } edge[1002 * 1002]; int fa[1002 * 1002]; inline int getfa(int x) { if (fa[x] == x) return x; return fa[x] = getfa(fa[x]); } inline void uni(int x, int y) { if (getfa(x) != getfa(y)) fa[getfa(x)] = getfa(y); } inline bool cmp(node x, node y) { return x.val > y.val; } int main() { cin >> n >> m >> q; for (int i = 1; i <= m; i++) { int u, v, w; cin >> u >> v >> w; edge[i].from = u; edge[i].id = i; edge[i].to = v; edge[i].val = w; } sort(edge + 1, edge + m + 1, cmp); for (int i = 1; i <= q; i++) { int l, r, ans = -1; cin >> l >> r; for (int i = 1; i <= n * n; i++) fa[i] = i; for (int j = 1; j <= m; j++) { if (edge[j].id >= l && edge[j].id <= r) { if (getfa(edge[j].from) == getfa(edge[j].to)) { ans = edge[j].val; break; } else { uni(edge[j].from, edge[j].to + n); uni(edge[j].from + n, edge[j].to); } } } cout << ans << endl; } }
#include <bits/stdc++.h> using namespace std; template <typename T> inline bool chkmin(T &a, const T &b) { return a > b ? a = b, 1 : 0; } template <typename T> inline bool chkmax(T &a, const T &b) { return a < b ? a = b, 1 : 0; } const int oo = 0x3f3f3f3f; const int maxn = 1000, maxq = 1000; const int maxm = 500000; struct edge { int first, second, w, id; edge() {} edge(int _x, int _y, int _w) : first(_x), second(_y), w(_w) {} friend bool operator<(const edge &first, const edge &second) { return first.w > second.w; } }; int n, m, qn; edge e[maxm + 5]; int fa[maxn + 5], col[maxn + 5]; int get(int first) { if (fa[first] == first) return first; int tmp = get(fa[first]); col[first] ^= col[fa[first]]; return fa[first] = tmp; } int main() { scanf("%d%d%d", &n, &m, &qn); for (int i = (0), i_end_ = (m); i < i_end_; ++i) scanf("%d%d%d", &e[i].first, &e[i].second, &e[i].w), --e[i].first, --e[i].second, e[i].id = i; sort(e, e + m); for (int i = (0), i_end_ = (qn); i < i_end_; ++i) { int u, v; scanf("%d%d", &u, &v), --u; for (int j = (0), j_end_ = (n); j < j_end_; ++j) fa[j] = j, col[j] = 0; int ret = -1; for (int j = (0), j_end_ = (m); j < j_end_; ++j) if (e[j].id >= u && e[j].id < v) { int first = e[j].first, second = e[j].second; if (get(first) != get(second)) { int u = get(first), v = get(second); col[u] ^= col[first] ^ col[second] ^ 1; fa[u] = v; } else if (col[first] == col[second]) { ret = e[j].w; break; } } printf("%d\n", ret); } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1010; struct EDGE { int u, v, c, num; bool operator<(const EDGE &t) const { return c > t.c; } } e[N * N]; int n, m, q; struct VALSET { int c[N], fa[N]; void init() { for (int i = 1; i <= n; i++) fa[i] = i, c[i] = 0; } int finds(int u) { if (u == fa[u]) return u; int o = finds(fa[u]); c[u] = c[u] ^ c[fa[u]]; return fa[u] = o; } bool join(int u, int v) { int fu = finds(u); int fv = finds(v); if (fu == fv && c[u] == c[v]) return 0; fa[fu] = fv; c[fu] = c[u] ^ c[v] ^ 1; return 1; } } Valset; void read_graph() { scanf("%d%d%d", &n, &m, &q); for (int i = 1; i <= m; i++) scanf("%d%d%d", &e[i].u, &e[i].v, &e[i].c), e[i].num = i; } void solve() { sort(e + 1, e + m + 1); while (q--) { int l, r; bool flag = 0; Valset.init(); scanf("%d%d", &l, &r); for (int i = 1; i <= m; i++) if (e[i].num >= l && e[i].num <= r) if (!Valset.join(e[i].u, e[i].v)) { printf("%d\n", e[i].c); flag = 1; break; } if (!flag) printf("-1\n"); } } int main() { read_graph(); solve(); return 0; }
#include <bits/stdc++.h> namespace XX { template <typename... Datas> class UnionFind { public: struct Node : public Datas... { int _parent = -1; int size() { return -_parent; } void operator+=(Node& other) { int dummy[] = {(Datas::operator+=(other), 0)...}; } }; UnionFind(int size) : _data(size) {} Node& operator[](int idx) { return _data[(*this)(idx)]; } int operator()(int n) { if (_data[n]._parent < 0) return n; else return _data[n]._parent = (*this)(_data[n]._parent); } bool operator()(int a, int b) { int pa = (*this)(a), pb = (*this)(b); if (pa == pb) return false; else { if (_data[pa]._parent == _data[pb]._parent) _data[pa]._parent--; else if (_data[pa]._parent > _data[pb]._parent) std::swap(pa, pb); _data[pa] += _data[pb]; _data[pb]._parent = pa; return true; } } private: std::vector<Node> _data; }; } // namespace XX template <typename T> struct ScanfSpecifier {}; template <> struct ScanfSpecifier<int> { static constexpr const char* value = "%d"; }; template <> struct ScanfSpecifier<double> { static constexpr const char* value = "%lf"; }; template <> struct ScanfSpecifier<float> { static constexpr const char* value = "%f"; }; template <> struct ScanfSpecifier<char> { static constexpr const char* value = "%c"; }; template <> struct ScanfSpecifier<const char*> { static constexpr const char* value = "%s"; }; template <> struct ScanfSpecifier<unsigned long> { static constexpr const char* value = "%lu"; }; template <> struct ScanfSpecifier<char*> { static constexpr const char* value = "%s"; }; template <> struct ScanfSpecifier<unsigned int> { static constexpr const char* value = "%u"; }; template <> struct ScanfSpecifier<long long int> { static constexpr const char* value = "%lld"; }; template <typename T> int RD(T& arg) { return std::scanf(ScanfSpecifier<T>::value, &arg); } template <int S> int RD(char (&arg)[S]) { return std::scanf("%s", arg); } template <> int RD<char*>(char*& arg) { return std::scanf("%s", arg); } template <> int RD<char>(char& arg) { return std::scanf(" %c", &arg); } template <typename T, typename... Args> int RD(T& arg1, Args&... args) { return RD(arg1) + RD(args...); } template <typename T> T RD() { T ret; RD(ret); return ret; } template <typename It> void RDV(It begin, It end) { while (begin != end) RD(*begin++); } template <typename C> void RDV(C& c) { RDV(std::begin(c), std::end(c)); } template <typename... Args> void WT(Args... args) { int alc = 0; int dummy[] = {((alc++ ? std::printf(" ") : 0), std::printf(ScanfSpecifier<Args>::value, args), 0)...}; } template <typename... Args> void WTL(Args... args) { WT(args...); std::printf("\n"); } template <typename It> void WTV(It begin, It end) { int alc = 0; while (begin != end) (alc++ ? std::printf(" ") : 0), WT(*begin++); } template <typename C> void WTV(const C& c) { WTV(std::begin(c), std::end(c)); } template <typename It> void WTVL(It begin, It end) { WTV(begin, end); std::printf("\n"); } template <typename C> void WTVL(const C& c) { WTVL(std::begin(c), std::end(c)); } namespace XX { template <template <typename> class Compare, typename T> inline T& UP(T& x, const T& y) { if (Compare<T>()(y, x)) x = y; return x; } template <typename Compare, typename T> inline T& UP(T& x, const T& y, Compare comp) { if (comp(y, x)) x = y; return x; } template <typename T> inline T& GT(T& x, const T& y) { return UP<std::greater>(x, y); } template <typename T> inline T& LS(T& x, const T& y) { return UP<std::less>(x, y); } template <typename T> struct Mapper { int operator[](const T& v) { int& ret = table[v]; if (!ret) rtable[ret = table.size()] = v; return ret - 1; } template <typename... Args> int operator()(Args... args) { return (*this)[T(args...)]; } T rev(int idx) { return rtable[idx + 1]; } std::map<T, int> table; std::map<int, T> rtable; }; template <typename T, int S> struct ReferenceArray { struct It { typename std::array<T*, S>::iterator it; T& operator*() { return **it; } void operator++() { it++; } bool operator!=(const It& other) { return it != other.it; } }; int size() const { return _ptr.size(); } It begin() const { return {_ptr.begin()}; } It end() const { return {_ptr.end()}; } T& operator[](int idx) const { return *_ptr[idx]; } mutable std::array<T*, S> _ptr; }; template <typename T, typename... Args> ReferenceArray<T, sizeof...(Args) + 1> MAKEV(T& arg1, Args&... args) { return {&arg1, &args...}; } struct Range { struct It { int num, step; int operator*() { return num; } void operator++() { num += step; } bool operator!=(const It& other) { return num != other.num; } }; Range(int ee) : b(0), e(ee) {} Range(int bb, int ee) : b(bb), e(ee) {} It begin() { return {b, (b < e ? 1 : -1)}; } It end() { return {e, 0}; } int b, e; }; } // namespace XX template <typename... Datas> using UF = XX::UnionFind<Datas...>; template <typename T> T& UMAX(T& x, T y) { return XX::UP<std::greater>(x, y); } template <typename T> T& UMIN(T& x, T y) { return XX::UP<std::less>(x, y); } using XX::UP; using RG = XX::Range; using XX::MAKEV; using XX::Mapper; using namespace std; const int E = 2000009; const int V = 1009; int N, M, Q; struct Edge { int idx; int u, v; int w; bool operator<(const Edge& other) const { return w > other.w; } } es[E]; Edge buf[E]; struct Data { unsigned long long ch[16] = {}; int amt = 1; void operator+=(Data& other) { for (int i = 0; i < 16; i++) ch[i] |= other.ch[i]; amt += other.amt; } }; int main() { RD(N, M, Q); for (int i = 1; i <= M; i++) { es[i].idx = i; RD(es[i].u, es[i].v, es[i].w); es[i].u--; es[i].v--; } sort(es + 1, es + M + 1); while (Q--) { int l, r; RD(l, r); int total = 0; for (int i = 1; i <= M; i++) if (l <= es[i].idx && es[i].idx <= r) buf[total++] = es[i]; UF<Data> uf(N); bool pass[V] = {}; int ans = -1; unsigned long long color[16] = {}; for (int i = 0; i < N; i++) uf[i].ch[i >> 6] |= 1ll << (i & 63); auto getc = [&](int u) -> bool { return color[u >> 6] & (1ll << (u & 63)); }; auto setc = [&](int u, int b) { if (b) color[u >> 6] |= 1ll << (u & 63); else color[u >> 6] &= ~(1ll << (u & 63)); }; for (int i = 0; i < total; i++) { int u = buf[i].u, v = buf[i].v; if (pass[v]) swap(u, v); if (!pass[u]) { setc(u, 0); setc(v, 1); uf(u, v); } else if (!pass[v]) { setc(v, !getc(u)); uf(u, v); } else if (getc(u) != getc(v)) uf(u, v); else if (uf(u) == uf(v)) { ans = buf[i].w; break; } else { for (int i = 0; i < 16; i++) color[i] ^= uf[u].ch[i]; uf(u, v); } pass[u] = pass[v] = true; } WTL(ans); } }
#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], bit[1005]; int getfa(int u) { if (u == fa[u]) return u; int res = getfa(fa[u]); bit[u] ^= bit[fa[u]]; fa[u] = res; return fa[u] = res; } inline bool unite(int u, int v) { int x = getfa(u), y = getfa(v); if (x == y) return bit[u] != bit[v]; fa[x] = y; bit[x] = bit[u] ^ bit[v] ^ 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", &arr[i].u, &arr[i].v, &arr[i].w); arr[i].u--; arr[i].v--; arr[i].idx = i; } sort(arr, arr + m); while (q--) { int l, r; scanf("%d%d", &l, &r); l--; r--; for (int i = 0; i < n; i++) { fa[i] = i; bit[i] = 0; } bool f = false; for (int i = 0; i < m && !f; i++) { if (arr[i].idx < l || arr[i].idx > r) continue; if (!unite(arr[i].u, arr[i].v)) { printf("%d\n", arr[i].w); f = true; } } if (!f) printf("-1\n"); } 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 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 (rand() & 1) { par[v] = u; } else { par[u] = v; } } 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; 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> #pragma GCC optimize("O2") using namespace std; const int maxn = 1000 + 10, maxm = 1e6 + 100; int n, m, q; struct DSU { int par[maxn], mx = -1; bool c[maxn]; vector<pair<int, int> > v; DSU() { fill(par, par + maxn, -1); } int root(int x) { return par[x] < 0 ? x : root(par[x]); } bool xr(int x) { return par[x] < 0 ? 0 : c[x] ^ xr(par[x]); } bool dis(int x, int y) { return xr(x) ^ xr(y); } bool merge(int x, int y, int w) { int xp = x, yp = y; x = root(x); y = root(y); bool cy = 1 ^ dis(x, xp) ^ dis(y, yp); if (x == y) { if (dis(xp, yp) == 0) { mx = max(mx, w); } return 0; } if (-par[x] < -par[y]) swap(x, y); v.push_back({y, par[y]}); par[x] += par[y]; par[y] = x; c[y] = cy; return 1; } void undo() { if (v.size() == 0) return; pair<int, int> p = v.back(); v.pop_back(); int y = p.first, x = par[y]; c[y] = 0; par[y] = p.second; par[x] -= par[y]; } void reset() { while (v.size()) { undo(); } mx = -1; } } dsu; struct edge { int a, b, w; } e[maxm]; struct Segment { vector<int> S[maxm << 2]; int mx[maxm << 2]; void merge(vector<int>& v, vector<int>& vl, vector<int>& vr) { dsu.reset(); int pos[2] = {0, 0}, size[2] = {int(vl.size()), int(vr.size())}; for (int i = 0; i < size[0] + size[1]; i++) { int x = 0; if (pos[0] == size[0]) { x = vr[pos[1]]; pos[1]++; } else if (pos[1] == size[1]) { x = vl[pos[0]]; pos[0]++; } else { if (e[vl[pos[0]]].w > e[vr[pos[1]]].w) { x = vl[pos[0]]; pos[0]++; } else { x = vr[pos[1]]; pos[1]++; } } if (dsu.merge(e[x].a, e[x].b, e[x].w)) { v.push_back(x); } } } void Build(int id = 1, int l = 0, int r = m) { if (r - l == 1) { S[id].push_back(l); mx[id] = -1; return; } int mid = (l + r) >> 1; Build(id << 1, l, mid); Build(id << 1 | 1, mid, r); merge(S[id], S[id << 1], S[id << 1 | 1]); mx[id] = max(dsu.mx, max(mx[id << 1], mx[id << 1 | 1])); } vector<int> v[2]; int now = 1, pre = 0, ans = -1; void get(int L, int R, int id = 1, int l = 0, int r = m) { if (L >= r || R <= l) return; if (L <= l && R >= r) { swap(now, pre); v[now].clear(); merge(v[now], v[pre], S[id]); ans = max(ans, max(dsu.mx, mx[id])); return; } int mid = (l + r) >> 1; get(L, R, id << 1, l, mid); get(L, R, id << 1 | 1, mid, r); } } seg; int32_t main() { 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--; } seg.Build(); for (int i = 0; i < q; i++) { seg.ans = -1; int l, r; scanf("%d%d", &l, &r); l--; seg.v[0].clear(); seg.v[1].clear(); seg.get(l, r); printf("%d\n", seg.ans); } }
#include <bits/stdc++.h> using namespace std; const int mod = 1e9 + 7; pair<pair<int, int>, pair<int, int> > s[1 << 20]; int f[1 << 11]; int get(int k) { return k == f[k] ? k : f[k] = get(f[k]); } int main(void) { srand(time(0)); cout << fixed << setprecision(7); cerr << fixed << setprecision(7); int n, m, q; ios_base ::sync_with_stdio(0); scanf("%d", &n); scanf("%d", &m); scanf("%d", &q); for (int i = 1; i <= m; ++i) { scanf("%d", &s[i].second.first); scanf("%d", &s[i].second.second); scanf("%d", &s[i].first.first); s[i].first.second = i; } sort(s + 1, s + 1 + m); reverse(s + 1, s + 1 + m); for (int qwerty = 1; qwerty <= q; ++qwerty) { int l, r; scanf("%d", &l); scanf("%d", &r); for (int i = 1; i <= n + n + 1; ++i) f[i] = i; int ans = -1; for (int i = 1; i <= m && ans == -1; ++i) if (l <= s[i].first.second && s[i].first.second <= r) if (get(s[i].second.first << 1) == get(s[i].second.second << 1)) ans = s[i].first.first; else { f[get(s[i].second.first << 1)] = get(s[i].second.second << 1 | 1); f[get(s[i].second.first << 1 | 1)] = get(s[i].second.second << 1); } cout << ans << '\n'; } return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, q, l, r, fa[1010 * 2]; struct ma { int u, v, c, num; } e[1010 * 1010]; bool operator<(ma p, ma q) { return p.c > q.c; } int find(int x) { return fa[x] == x ? x : fa[x] = find(fa[x]); } void doit() { for (int i = 1; i <= n * 2; i++) fa[i] = i; scanf("%d%d", &l, &r); for (int i = 1; i <= m; i++) if (e[i].num >= l && e[i].num <= r) { int u = e[i].u, v = e[i].v; if (find(u) != find(v + n)) fa[find(u)] = find(v + n); if (find(v) != find(u + n)) fa[find(v)] = find(u + n); if (find(u) == find(u + n)) { printf("%d\n", e[i].c); return; } } puts("-1"); } int main() { cin >> n >> m >> q; for (int i = 1; i <= m; i++) scanf("%d%d%d", &e[i].u, &e[i].v, &e[i].c), e[i].num = i; sort(e + 1, e + m + 1); while (q--) doit(); }
#include <bits/stdc++.h> using namespace std; const int M = 1012; const int Q = 1e9 + 7; pair<int, int> pr[M]; int inv[M]; pair<pair<int, int>, pair<int, int> > e[M * M]; pair<int, int> get(int v) { if (v == pr[v].first) return make_pair(v, inv[v]); auto res = get(pr[v].first); return pr[v] = make_pair(res.first, res.second ^ pr[v].second); } bool un(int a, int b) { auto ai = get(a); auto bi = get(b); if (ai.first == bi.first) { return ai.second != bi.second; } if (ai.second == bi.second) inv[ai.first] ^= 1; pr[ai.first] = make_pair(bi.first, inv[ai.first]); return true; } int main() { srand(time(NULL)); cin.tie(0); ios_base::sync_with_stdio(0); int n, m, q; cin >> n >> m >> q; for (int i = 0; i < m; i++) { int s, f, w; cin >> s >> f >> w; e[i] = make_pair(make_pair(-w, i + 1), make_pair(s, f)); } sort(e, e + m); for (int it = 0; it < q; it++) { int l, r; cin >> l >> r; for (int i = 1; i <= n; i++) pr[i] = make_pair(i, 0), inv[i] = 0; int ans = -1; for (int i = 0; i < m; i++) { if (l <= e[i].first.second && e[i].first.second <= r) { if (!un(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 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]; inline pair<int, int> get(int v) { b[0] = v; int 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; } return p[b[0]]; } 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]]; uu = get(e[i].u); 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> 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; 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; pair<int, pair<pii, int>> 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; } 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].second.first.first >> edges[i].second.first.second >> edges[i].first, edges[i].second.second = i; } sort(edges + 1, edges + m + 1); int l, r; while (q--) { cin >> l >> r; for (int i = 1; i <= n; i++) dsu[i] = {{i, 1}, 1}; int ans = -1; for (int i = m; i >= 1; i--) { if (edges[i].second.second < l || edges[i].second.second > r) continue; if (!uni(edges[i].second.first.first, edges[i].second.first.second) && sameasparent(edges[i].second.first.first) == sameasparent(edges[i].second.first.second)) { ans = edges[i].first; break; } } printf("%d\n", ans); } return 0; }
#include <bits/stdc++.h> using namespace std; long long mul(long long a, long long b) { return (a * b) % (100000007); } long long add(long long a, long long b) { return (a + b) % (100000007); } long long sub(long long a, long long b) { return (a - b + llabs(a - b) / (100000007) * (100000007) + (100000007)) % (100000007); } long long gcd(long long a, long long b) { if (!b) return a; return gcd(b, a % b); } void upd(long long &a, long long b) { a = (a % (100000007) + b % (100000007)) % (100000007); } int read() { int x = 0, f = 1; char ch = getchar(); while (!isdigit(ch)) { if (ch == '-') f = -1; ch = getchar(); } while (isdigit(ch)) { x = x * 10 + ch - '0'; ch = getchar(); } return x * f; } class bingchaji { public: int father[(2000 + 10)], n; void mem(int _n) { n = _n; for (int i = 1; i <= n; i++) father[i] = i; } int getfather(int x) { if (father[x] == x) return x; return father[x] = getfather(father[x]); } void unite(int x, int y) { father[x] = getfather(father[x]); father[y] = getfather(father[y]); father[father[x]] = father[father[y]]; } bool same(int x, int y) { return getfather(x) == getfather(y); } } S; int n, m, q; vector<pair<int, pair<int, pair<int, int>>>> e; int main() { while (cin >> n >> m >> q) { for (int i = 1; i <= m; i++) { int u, v, w; cin >> u >> v >> w; e.push_back(make_pair(w, make_pair(u, make_pair(v, i)))); } sort((e).begin(), (e).end()); reverse((e).begin(), (e).end()); for (int i = 0; i < q; i++) { bool b = 0; int l, r; cin >> l >> r; S.mem(2 * n); for (int i = 0; i < m; i++) if (l <= e[i].second.second.second && e[i].second.second.second <= r) { int u = e[i].second.first, v = e[i].second.second.first; if (S.same(u, v)) { b = 1; cout << e[i].first << endl; break; } else { S.unite(u, v + n); S.unite(u + n, v); } } if (!b) puts("-1"); } } return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 1000 + 5; struct DSU { int par[4 * maxn], n; void init(int n) { this->n = n; 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 a, int b) { if (find(a << 1) == find(b << 1)) { return false; } par[find(a << 1)] = find(b << 1 | 1); par[find(b << 1)] = find(a << 1 | 1); return true; } } dsu; struct Edge { int u, v, w, num; Edge() {} Edge(int u, int v, int w) : u(u), v(v), w(w) {} } es[maxn * maxn]; bool cmp(const Edge &a, const Edge &b) { return a.w > b.w; } int n, m, q; int main(void) { scanf("%d%d%d", &n, &m, &q); for (int i = 0; i < m; i++) { scanf("%d%d%d", &es[i].u, &es[i].v, &es[i].w); es[i].u--; es[i].v--; es[i].num = i + 1; } sort(es, es + m, cmp); for (int i = 0; i < q; i++) { int l, r; scanf("%d%d", &l, &r); int res = -1; dsu.init(2 * n); for (int j = 0; j < m && res == -1; j++) { if (es[j].num >= l && es[j].num <= r) { if (!dsu.merge(es[j].u, es[j].v)) { res = es[j].w; } } } printf("%d\n", res); } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1001, M = 500000; int n, m, q, fa[N * 2], l, r; int qr() { int ans = 0, f = 1; char ch = getchar(); while (!isdigit(ch)) f = ch == '-' ? -1 : 1, ch = getchar(); while (isdigit(ch)) ans = ans * 10 + ch - '0', ch = getchar(); return ans * f; } struct node { int x, y, w, num; } p[M]; bool cmp(node a, node b) { return a.w > b.w; } int getf(int u) { if (fa[u] == u) return u; else { fa[u] = getf(fa[u]); return fa[u]; } } void ma(int u, int v) { int t1 = getf(u), t2 = getf(v); if (t1 == t2) return; fa[t1] = t2; return; } int main() { cin >> n >> m >> q; for (int i = 1; i <= m; i++) { p[i].x = qr(); p[i].y = qr(); p[i].w = qr(); p[i].num = i; } sort(p + 1, p + 1 + m, cmp); int ans; while (q--) { ans = -1; l = qr(), r = qr(); for (int i = 1; i <= 2 * n; i++) fa[i] = i; for (int i = 1; i <= m; i++) { if (p[i].num >= l && p[i].num <= r) { if (getf(p[i].x) == getf(p[i].y)) { ans = p[i].w; break; } else { ma(p[i].x, p[i].y + n); ma(p[i].y, p[i].x + n); } } } cout << ans << endl; } 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]; 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 (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; int edges[567567][3]; const int S = 1 << 19; vector<int> tree[2 * S]; vector<int> out; pair<int, bool> parent[1234]; 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]); } } 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; } } } 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 budka(int p, int q, int node) { vector<int> inds; for (int i = p; i <= q; ++i) { if (i < m) inds.push_back(i); else break; } calc(inds); tree[node] = out; if (p < q) { int s = (p + q) / 2; budka(p, s, 2 * node); budka(s + 1, q, 2 * node + 1); } } void build() { budka(0, S - 1, 1); } void zbierz(int l, int r, int ll, int rr, int node, vector<int>& inds) { if (rr < l || r < ll) { return; } if (l <= ll && rr <= r) { for (int ind : tree[node]) { inds.push_back(ind); } return; } int ss = (ll + rr) / 2; zbierz(l, r, ll, ss, 2 * node, inds); zbierz(l, r, ss + 1, rr, 2 * node + 1, inds); } int query() { int l, r; scanf("%d%d", &l, &r); --l; --r; vector<int> inds; zbierz(l, r, 0, S - 1, 1, inds); return calc(inds); } void debug(int i) { for (int ind : tree[i]) { cerr << ind << " "; } cerr << endl; } int main() { loda(); build(); for (int i = 0; i < q; ++i) { printf("%d\n", query()); } }
#include <bits/stdc++.h> using namespace std; int in() { int a; scanf("%d", &a); return a; } int gcm(int a, int b) { if (b > a) return gcm(b, a); if (a % b == 0) return b; else return gcm(b, a % b); } int calc_rev(int x) { int ret = 0; while (x) { int a = x % 10; ret = ret * 10 + a; x /= 10; } return ret; } int rev[100010]; map<pair<int, int>, vector<int> > lucky; pair<int, int> a_reva(int a) { int g = gcm(a, rev[a]); int b = a / g; int c = rev[a] / g; return make_pair(b, c); } pair<int, int> invert_pint(pair<int, int> t) { return make_pair(t.second, t.first); } int main() { for (int i = (1); i <= (100000); i++) { rev[i] = calc_rev(i); } for (int i = (1); i <= (100000); i++) { lucky[a_reva(i)].push_back(i); } pair<int, int> ans = make_pair(-1, -1); long long ans_fact = ((long long)(1001001001) * (1001001001)); int maxx = in(); int maxy = in(); int w = in(); int bar = maxy; int ltickets = 0; for (int x = (1); x <= (maxx); x++) { vector<int> hoge = lucky[invert_pint(a_reva(x))]; int ind = distance(hoge.begin(), upper_bound(hoge.begin(), hoge.end(), bar)); ltickets += ind; while (ltickets >= w) { if ((long long)x * bar < ans_fact) { ans = make_pair(x, bar); ans_fact = (long long)x * bar; } vector<int> fuga = lucky[invert_pint(a_reva(bar))]; int ind2 = distance(fuga.begin(), upper_bound(fuga.begin(), fuga.end(), x)); ltickets -= ind2; bar--; } } if (ans.first == -1) { puts("-1"); } else { printf("%d %d\n", ans.first, ans.second); } return 0; }
#include <bits/stdc++.h> using namespace std; map<pair<int, int>, vector<int> > M; map<pair<int, int>, int> Mcnt; const long long inf = (long long)1E16; int gcd(int a, int b) { if (b == 0) return a; return gcd(b, a % b); } int rev(int x) { int y = 0; while (x) { y = y * 10 + x % 10; x /= 10; } return y; } int main() { int mx, my, need, i, j, d, tx, ty; while (~scanf("%d%d%d", &mx, &my, &need)) { int cur = 0, cx = 1, cy = my; M.clear(); Mcnt.clear(); for (i = 1; i <= my; i++) { j = rev(i); int x = i, y = j; d = gcd(x, y); x /= d, y /= d; M[make_pair(x, y)].push_back(i); } long long res = inf; int rx = -1, ry = -1; for (; cx <= mx; cx++) { ty = cx, tx = rev(cx); d = gcd(tx, ty); tx /= d, ty /= d; cur += M[make_pair(tx, ty)].size(); Mcnt[make_pair(tx, ty)]++; while (cy > 1 && cur >= need) { int x = cy, y = rev(cy); d = gcd(x, y); x /= d, y /= d; int dd = Mcnt[make_pair(x, y)]; if (cur - dd < need) break; cur -= dd; M[make_pair(x, y)].pop_back(); --cy; } if (cur >= need) { long long r0 = (long long)cx * (long long)cy; if (res > r0) { res = r0; rx = cx, ry = cy; } } } if (res == inf) printf("-1\n"); else printf("%d %d\n", rx, ry); } return 0; }
#include <bits/stdc++.h> using namespace std; map<pair<int, int>, int> A, B; int maxx, maxy; long long w, ansx = 100001, ansy = 100001; int gcd(int x, int y) { if (y == 0) return x; return gcd(y, x % y); } int rev(int x) { int tmp = 0; while (x) { tmp = tmp * 10 + x % 10; x /= 10; } return tmp; } int main() { scanf("%d%d%d", &maxx, &maxy, &w); for (int j = 1; j <= maxy; j++) { int g = gcd(rev(j), j), revj = rev(j); B[make_pair(revj / g, j / g)]++; } long long cnt = 0; int j = maxy, i; for (i = 1; i <= maxx; i++) { int g = gcd(rev(i), i), revi = rev(i); pair<int, int> tmp; tmp = make_pair(i / g, revi / g); A[tmp]++; cnt += B[tmp]; while (1) { int g = gcd(rev(j), j), revj = rev(j); pair<int, int> tmp; tmp = make_pair(revj / g, j / g); if (cnt - A[tmp] < w) break; cnt -= A[tmp]; B[tmp]--; j--; } if (cnt >= w && (long long)i * j < ansx * ansy) ansx = i, ansy = j; } if (ansx <= maxx) printf("%I64d %I64d\n", ansx, ansy); else printf("-1"); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 100010; int gcd(int x, int y) { return !y ? x : gcd(y, x % y); } int rev(int num) { int dig[10], tot = 0, s = 0; for (; num; num /= 10) dig[tot++] = num % 10; for (int i = 0; i < tot; i++) s = s * 10 + dig[i]; return s; } pair<int, int> p[maxn], r[maxn]; void init() { for (int i = 1; i <= 100000; i++) { int re = rev(i); int g = gcd(re, i); p[i] = make_pair(i / g, re / g); r[i] = make_pair(re / g, i / g); } } int main() { init(); map<pair<int, int>, int> mx, my; int nx, ny, w; cin >> nx >> ny >> w; for (int i = 1; i <= ny; i++) ++my[p[i]]; int x = -1, y = -1; for (int i = 1, j = ny, k = 0; i <= nx; i++) { ++mx[p[i]]; k += my[r[i]]; while (j > 0 && k >= w) { if (x == -1 || (long long)x * y > (long long)i * j) { x = i; y = j; } my[p[j]]--; k -= mx[r[j]]; j--; if (k < w) { j++; my[p[j]]++; k += mx[r[j]]; break; } } } if (x == -1) { puts("-1"); } else { printf("%d %d\n", x, y); } return 0; }
#include <bits/stdc++.h> using namespace std; vector<long long> re, r; bool ire[110000]; template <class typ> struct BIT { vector<typ> x; BIT(int n) : x(n, 0) {} typ sum(int a, int b) { if (a == 0) { typ s = 0; for (int i = b; i >= 0; i = (i & (i + 1)) - 1) s += x[i]; return s; } else return sum(0, b) - sum(0, a - 1); } void add(int ind, typ f) { for (int i = ind; i < x.size(); i |= i + 1) x[i] += f; } }; int gcd(int m, int n) { int a = max(m, n), b = min(m, n); if (m == 0) return n; if (n == 0) return m; if (a % b == 0) return b; return gcd(b, a - b * (a / b)); } int rev(int a) { int ret = 0; while (a > 0) { ret = ret * 10 + a % 10; a /= 10; } return ret; } int main() { BIT<int> bit(110000); long long inf = 1000000000000LL, ma = inf, outx = -1, outy = -1, ny, i, j, maxx, maxy, w; cin >> maxx >> maxy >> w; ny = maxy; memset(ire, false, sizeof(ire)); re.push_back(0); for (i = 1; i < 110000; i++) re.push_back(rev(i)); for (i = 1; i < re.size(); i++) { if (i == re[i]) { r.push_back(i); ire[i] = true; } } for (i = 1; i <= maxx; i++) { if (ire[i]) { for (j = 0; j < r.size(); j++) bit.add((int)r[j], 1); } else { int g = gcd(i, re[i]); for (j = 1; j * re[i] / g <= maxy; j++) { if (re[j * re[i] / g] == j * i / g) bit.add((int)(j * re[i] / g), 1); } } while (bit.sum(0, ny - 1) >= w) ny--; if (bit.sum(0, ny) >= w && i * ny <= ma) { ma = i * ny; outx = i; outy = ny; } } if (ma >= inf) cout << "-1" << endl; else cout << outx << ' ' << outy << endl; return 0; }
#include <bits/stdc++.h> using namespace std; double const pi = 3.1415926535897932384626433832795; int const inf = (int)1e9; long long const inf64 = (long long)2e18; const string name = "c"; int maxx, maxy, w, calc[100010], pal[100010]; vector<int> ans[100010], qqq[100010]; int rev(int n) { int res = 0; while (n > 0) { res = res * 10 + n % 10; n /= 10; } return res; } int find(int w) { int d = 2, ww = calc[w]; while (d * d <= w) { while (w % d == 0) { if (ww % d == 0) ww /= d; w /= d; } d++; } if (ww % w == 0) ww /= w; return ww; } int main() { cin >> maxx >> maxy >> w; for (int i = 0; i < (int)max(maxx, maxy) + 1; i++) calc[i] = rev(i); memset(pal, 0, sizeof(pal)); for (int i = 0; i < (int)max(maxx, maxy) + 1; i++) if (calc[i] == i) pal[i] = 1; int now, st; for (int i = 1; i <= maxx; ++i) { st = find(i); now = st; while (now <= maxy) { if ((long long)i * now == (long long)calc[i] * calc[now]) ans[i].push_back(now), qqq[now].push_back(i); now += st; } } long long ansx = 100001, ansy = 100001, lvl = 1; now = 0; for (int i = maxx; i >= 1; i--) { while (lvl <= maxy && now < w) now += qqq[lvl++].size(); if (now >= w && (long long)i * (lvl - 1) < ansx * ansy) ansx = i, ansy = lvl - 1; for (int j = 0; j < (int)ans[i].size(); j++) { if (ans[i][j] < lvl) now--; qqq[ans[i][j]].resize(qqq[ans[i][j]].size() - 1); } } if (ansx > maxx) cout << -1 << endl; else cout << ansx << " " << ansy << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const long long INF = 12345678987654321LL; const int MAXN = 100100; pair<int, int> r[MAXN]; inline int gcd(int a, int b) { return b == 0 ? a : gcd(b, a % b); } inline int rev(int x) { int r = 0; while (x > 0) { r = r * 10 + x % 10; x /= 10; } return r; } pair<int, int> inv(pair<int, int> &p) { return make_pair(p.second, p.first); } void init() { for (int i = 1; i <= 100000; i++) { int t = rev(i); int g = gcd(i, t); r[i] = make_pair(i / g, t / g); } } int main() { init(); for (int mx, my, w; ~scanf("%d%d%d", &mx, &my, &w);) { map<pair<int, int>, int> mpx, mpy; for (int y = 1; y <= my; y++) { mpy[r[y]]++; } long long X = -1, Y = -1; long long iw = 0; for (long long x = 1, y = my; x <= mx; x++) { iw += mpy[inv(r[x])]; mpx[r[x]]++; while (iw >= w) { iw -= mpx[inv(r[y])]; mpy[r[y]]--; y--; if (iw < w) { y++; mpy[r[y]]++; iw += mpx[inv(r[y])]; break; } } if (iw >= w && (X == -1 || x * y < X * Y)) { X = x; Y = y; } } if (X == -1) { puts("-1"); } else { printf("%I64d %I64d\n", X, Y); } } return 0; }
#include <bits/stdc++.h> using std::abs; using std::bitset; using std::cerr; using std::cin; using std::copy; using std::cout; using std::deque; using std::endl; using std::fill; using std::fixed; using std::greater; using std::iota; using std::istream; using std::lower_bound; using std::make_pair; using std::make_tuple; using std::map; using std::max; using std::max_element; using std::min; using std::min_element; using std::multiset; using std::next_permutation; using std::nth_element; using std::ostream; using std::pair; using std::priority_queue; using std::queue; using std::reverse; using std::rotate; using std::set; using std::sort; using std::string; using std::swap; using std::tie; using std::tuple; using std::unique; using std::unordered_map; using std::unordered_set; using std::upper_bound; using std::vector; long long rnd(long long x, long long y) { static auto gen = std::bind(std::uniform_int_distribution<long long>(), std::mt19937(960172)); return gen() % (y - x + 1) + x; } long long gcd(long long a, long long b) { while (b > 0) { long long t = a % b; a = b; b = t; } return a; } template <typename T> T sqr(T const& a) { return a * a; } int const INF = 100 + (int)1e9; long long const INFL = 100 + (long long)1e18; long double const PI = 3.1415926535897932384626433832795028; struct ratio_t { int num, den; ratio_t() {} ratio_t(int num, int den) : num(num), den(den) { int g = gcd(num, den); num /= g; den /= g; } ratio_t inv() const { return ratio_t(den, num); } }; bool operator<(ratio_t const& a, ratio_t const& b) { return (long long)a.num * b.den < (long long)b.num * a.den; } bool operator==(ratio_t const& a, ratio_t const& b) { return (long long)a.num * b.den == (long long)b.num * a.den; } int rev(int a) { int b = 0; while (a > 0) { b = 10 * b + a % 10; a /= 10; } return b; } ratio_t AR(int a) { return ratio_t(a, rev(a)); } ratio_t RA(int a) { return ratio_t(rev(a), a); } void solve() { int X, Y, W; scanf("%d%d%d", &X, &Y, &W); map<ratio_t, int> ar, ra; int x = 1, y = 0; long long cnt = 0; ++ar[AR(x)]; while (y < Y && cnt < W) { ++y; cnt += ar[RA(y)]; ++ra[RA(y)]; } int ax = -1, ay = -1; long long area = INFL; while (x <= X) { if (cnt >= W) { long long cur = (long long)x * y; if (cur < area) { area = cur; ax = x; ay = y; } } ++x; cnt += ra[AR(x)]; ++ar[AR(x)]; while (true) { long long next = cnt - ar[RA(y)]; if (next >= W) { --ra[RA(y)]; --y; cnt = next; } else break; } } if (ax < 0) { puts("-1"); return; } printf("%d %d\n", ax, ay); } int main() { cout.precision(15); cout << fixed; cerr.precision(6); cerr << fixed; solve(); }
#include <bits/stdc++.h> using namespace std; template <class T> const T& max(const T& a, const T& b, const T& c) { return max(a, max(b, c)); } template <class T> const T& min(const T& a, const T& b, const T& c) { return min(a, min(b, c)); } void sc(int& a) { scanf("%d", &a); } void sc(long long& a) { scanf("%lld", &a); } void sc(int& a, int& b) { sc(a); sc(b); } void sc(long long& a, long long& b) { sc(a); sc(b); } void sc(int& a, int& b, int& c) { sc(a, b); sc(c); } void sc(long long& a, long long& b, long long& c) { sc(a, b); sc(c); } void prl(int a) { printf("%d\n", a); } void prl(long long a) { printf("%lld\n", a); } void prl() { printf("\n"); } void prs(int a) { printf("%d ", a); } void prs(long long a) { printf("%lld ", a); } long long gcd(long long a, long long b) { if (b == 0) return a; return gcd(b, a % b); } long long lcm(long long a, long long b) { return (a * b) / gcd(a, b); } long long poww(long long a, long long b) { if (b == 0) return 1; long long tmp = poww(a, b / 2); return (b & 1 ? a * tmp * tmp : tmp * tmp); } long long sumOfDigs(string s) { long long sum = 0; for (int i = 0; i < s.length(); i++) sum += s[i] - '0'; return sum; } long long sumOfDigs(long long n) { return (n < 10 ? n : n % 10 + sumOfDigs(n / 10)); } string itos(long long i) { string s = ""; while (i) { s += char(i % 10 + '0'); i /= 10; } reverse(s.begin(), s.end()); return s; } long long stoi(string& s) { long long tot = 0; for (int i = (int)s.length() - 1, j = 1; i >= 0; i--, j *= 10) { tot += j * (s[i] + '0'); } return tot; } int months[13] = {0, 31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31}; using namespace std; long long mod = 1e9 + 7; void tt() { freopen("test.txt", "r", stdin); } long long modpower(long long x, long long y, long long p) { x %= mod; if (!y) return 1; long long res = 1; if (y & 1) { res *= x; res %= p; } long long z = modpower(x, y / 2, p); z %= p; z *= z; z %= mod; res *= z; res %= p; return res; } map<double, int> mpx, mpy; int rev(int num) { int tot = 0; while (num) { tot = tot * 10 + (num % 10); num /= 10; } return tot; } int main() { int mx, my, w; cin >> mx >> my >> w; for (int i = 1; i <= mx; i++) { mpx[i * 1.0 / rev(i)]++; } int x = mx, y = 0; int poss = 0; int finx = -1, finy = -1; int cnt = 0; while (x >= 1 && y <= my) { if (cnt < w) { y++; double temp = rev(y) * 1.0 / y; cnt += mpx[temp]; mpy[temp]++; } else { if (!poss || (1ll * finx * finy > 1ll * x * y)) { poss = 1; finx = x, finy = y; } double temp = x * 1.0 / rev(x); cnt -= mpy[temp]; mpx[temp]--; x--; } } if (!poss) { return cout << -1 << endl, 0; } cout << finx << " " << finy << endl; return 0; }
#include <bits/stdc++.h> using namespace std; struct Node { double v; int id; } s[100100]; const double eps = 1e-9; int n, m, w, size[100100], tot; double v[100100]; int rev(int x) { int t = 0; while (x) t = t * 10 + x % 10, x /= 10; return t; } bool cmp(Node x, Node y) { return x.v < y.v || (x.v == y.v && x.id < y.id); } void prep() { for (int i = 1; i <= max(n, m); i++) { int x = rev(i); v[i] = (double)i / x; s[i].v = (double)x / i; s[i].id = i; } sort(s + 1, s + m + 1, cmp); } int dcmp(double x) { if (fabs(x) < eps) return 0; return x > eps ? 1 : -1; } int getwhe(int x) { int l = 1, r = m; while (l < r) { int mid = (l + r) >> 1; if (dcmp(s[mid].v - v[x]) < 0) l = mid + 1; else r = mid; } return l; } void work() { prep(); int r = m, ans1, ans2; long long ans = (long long)1 << 50; for (int i = 1; i <= n; i++) { int str = getwhe(i); for (; str <= m && dcmp(s[str].v - v[i]) == 0 && s[str].id <= r; str++) tot++, size[s[str].id]++; while (tot - size[r] >= w) tot -= size[r], r--; if (tot >= w && (long long)i * r < ans) ans = (long long)i * r, ans1 = i, ans2 = r; } if (ans == (long long)1 << 50) cout << "-1"; else cout << ans1 << " " << ans2; } int main() { cin >> n >> m >> w; work(); }
#include <bits/stdc++.h> using namespace std; const int MaxN = 100000; vector<int> a[MaxN + 5]; int x, y, w; int rev[MaxN + 5]; struct number { int idx; double o; }; number nA[MaxN + 5], nB[MaxN + 5]; int rr(int x) { int r = 0; while (x) { r = r * 10 + x % 10; x /= 10; } return r; } bool cmp(number a, number b) { return a.o + 0.000000001 < b.o || (fabs(a.o - b.o) < 0.000000001 && a.idx < b.idx); } int comp(long long a, long long b, long long c, long long d) { if (a * b == c * d) return 0; if (a * b < c * d) return -1; return 1; } int cum[MaxN + 5]; void add(int idx) { while (idx <= MaxN) { cum[idx]++; idx += idx & (-idx); } } int sum(int idx) { int r = 0; while (idx) { r += cum[idx]; idx -= idx & (-idx); } return r; } int main() { for (int i = 1; i <= MaxN; i++) { rev[i] = rr(i); nA[i].idx = i; nA[i].o = double(i) / double(rev[i]); nB[i].idx = i; nB[i].o = double(rev[i]) / double(i); } sort(nA + 1, nA + MaxN + 1, cmp); sort(nB + 1, nB + MaxN + 1, cmp); int i = 1, j = 1; while (i <= MaxN && j <= MaxN) { int c = comp(nA[i].idx, nB[j].idx, rev[nA[i].idx], rev[nB[j].idx]); if (c == -1) i++; else if (c == 0) { for (int k = j; comp(nA[i].idx, nB[k].idx, rev[nA[i].idx], rev[nB[k].idx]) == 0 && k <= MaxN; k++) a[nA[i].idx].push_back(nB[k].idx); i++; } else j++; } scanf("%d%d%d", &x, &y, &w); memset(cum, 0, sizeof(cum)); int solX = 2123456789, solY = 2123456789; for (int i = 1; i <= x; i++) { for (int j = 0; j < a[i].size(); j++) add(a[i][j]); int l = 1, r = MaxN, k; while (l < r) { k = (l + r) / 2; if (sum(k) >= w) { if (sum(k - 1) >= w) r = k - 1; else break; } else l = k + 1; } if (sum(k - 1) >= w && k - 1 <= y) { if (comp(solX, solY, i, k - 1) == 1) { solX = i; solY = k - 1; } } else if (sum(k) >= w && k <= y) { if (comp(solX, solY, i, k) == 1) { solX = i; solY = k; } } else if (sum(k + 1) >= w && k + 1 <= y) { if (comp(solX, solY, i, k + 1) == 1) { solX = i; solY = k + 1; } } } if (solX == 2123456789) { printf("-1\n"); return 0; } printf("%d %d\n", solX, solY); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 110000; const long long INF = (long long)N * (long long)N; int mam[N][2]; map<pair<int, int>, int> mapa; inline int numer(const pair<int, int> &p) { if (mapa.count(p) == 0) { int res = (int)mapa.size(); return mapa[p] = res; } return mapa[p]; } int rev(int x) { int res = 0; while (x > 0) { res = 10 * res + (x % 10); x /= 10; } return res; } int nwd(int a, int b) { return b == 0 ? a : nwd(b, a % b); } pair<int, int> popraw(int a, int b) { int d = nwd(a, b); return make_pair(a / d, b / d); } int dajnumer(int x) { return numer(popraw(x, rev(x))); } int dajnumerrev(int x) { return numer(popraw(rev(x), x)); } int main() { int maxx, maxy, w; long long suma = 0; long long best = INF; int bestx = -1, besty = -1; scanf("%d %d %d", &maxx, &maxy, &w); for (int i = (1); i <= (maxx); ++i) { int a = dajnumer(i); mam[a][0]++; } int akty = 0; for (int i = (maxx); i >= (1); --i) { while (akty < maxy && suma < w) { akty++; int b = dajnumerrev(akty); suma -= (long long)mam[b][0] * (long long)mam[b][1]; mam[b][1]++; suma += (long long)mam[b][0] * (long long)mam[b][1]; } if (suma < w) break; if ((long long)i * (long long)akty < best) { best = (long long)i * (long long)akty; bestx = i; besty = akty; } int a = dajnumer(i); suma -= (long long)mam[a][0] * (long long)mam[a][1]; mam[a][0]--; suma += (long long)mam[a][0] * (long long)mam[a][1]; } if (best == INF) puts("-1"); else printf("%d %d\n", bestx, besty); return 0; }
#include <bits/stdc++.h> using namespace std; long long w, mxx, mxy, ansx, ansy, sum; map<double, long long> mp1, mp2; long long rev(long long x) { long long xlh = 0; while (x) { xlh = xlh * 10 + x % 10; x /= 10; } return xlh; } int main() { long long i, x, y; double now; scanf("%lld%lld%lld", &mxx, &mxy, &w); for (i = 1; i <= mxx; i++) mp1[1.0 * i / rev(i)]++; for (i = 1; i <= mxy; i++) sum += mp1[1.0 * rev(i) / i]; if (sum < w) return puts("-1"), 0; x = mxx; y = 1; sum = mp1[1]; mp2[1]++; ansx = mxx; ansy = mxy; while (x >= 1 && y <= mxy) { if (sum >= w) { if (x * y < ansx * ansy) ansx = x, ansy = y; now = 1.0 * x / rev(x); sum -= mp2[now]; mp1[now]--; x--; } else { y++; now = 1.0 * rev(y) / y; sum += mp1[now]; mp2[now]++; } } printf("%lld %lld\n", ansx, ansy); }
#include <bits/stdc++.h> using namespace std; const double PI = acos(-1.0); int rev(int x) { int res = 0; while (x) { res = res * 10 + x % 10; x /= 10; } return res; } int gcd(int a, int b) { if (!b) return a; return gcd(b, a % b); } map<pair<int, int>, int> mx, my; int X, Y, W; int main() { cin >> X >> Y >> W; long long best = 1000111000111000LL; int savex = -1, savey; for (int y = (1), _b = (Y); y <= _b; y++) { int g = gcd(y, rev(y)); my[make_pair(rev(y) / g, y / g)]++; } long long now = 0; long long y = Y; for (int x = (1), _b = (X); x <= _b; x++) { int g = gcd(x, rev(x)); mx[make_pair(x / g, rev(x) / g)]++; now += my[make_pair(x / g, rev(x) / g)]; while (y > 0 && now >= W) { if (x * y <= best) { best = x * y; savex = x; savey = y; } int g = gcd(y, rev(y)); now -= mx[make_pair(rev(y) / g, y / g)]; my[make_pair(rev(y) / g, y / g)]--; y--; } } if (savex == -1) { puts("-1"); return 0; } cout << savex << ' ' << savey; return 0; }
#include <bits/stdc++.h> using namespace std; struct NUM { int x, y; void init(int i) { x = i; int t = 0; while (i) { t = t * 10 + (i % 10); i /= 10; } y = t; } bool operator<(const NUM &t) const { return 1LL * y * t.x <= 1LL * t.y * x; } } num[100005]; int rev(int x) { int res = 0; while (x) { res = res * 10 + (x % 10); x /= 10; } return res; } int mx, my, w; int a[100005]; void add(int x) { while (x <= my) { ++a[x]; x += x & (-x); } } int getSum(int x) { int res = 0; while (x >= 1) { res += a[x]; x -= x & (-x); } return res; } int main() { scanf("%d%d%d", &mx, &my, &w); for (int i = 1; i <= my; ++i) num[i].init(i); sort(num + 1, num + 1 + my); int x = -1, y = -1; long long mi; for (int i = 1; i <= mx; ++i) { int t = rev(i); int l = 1, r = my; while (l < r) { int m = (l + r) >> 1; if (1LL * num[m].y * t < 1LL * i * num[m].x) l = m + 1; else r = m; } while (l <= my && 1LL * num[l].y * t == 1LL * i * num[l].x) { add(num[l].x); ++l; } l = 1, r = my; while (l < r) { int m = (l + r) >> 1; if (getSum(m) < w) l = m + 1; else r = m; } if (getSum(l) >= w) { if (x == -1) x = i, y = l, mi = 1LL * x * y; else if (mi > 1LL * i * l) x = i, y = l, mi = 1LL * x * y; } } if (x != -1) printf("%d %d\n", x, y); else puts("-1"); return 0; }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:256000000") using namespace std; const int maxN = 110000; int mx, my, w; int r[maxN]; int a[maxN], b[maxN]; int rev(int x) { int res = 0; while (x) { res = res * 10 + (x % 10); x /= 10; } return res; } int gcd(int x, int y) { if (x == 0 || y == 0) { return x + y; } if (x > y) { return gcd(x % y, y); } else { return gcd(y % x, x); } } map<pair<int, int>, vector<int> > MY; map<pair<int, int>, vector<int> > MX; long long getForX(int index, int bound) { vector<int> &current = MY[make_pair(b[index], a[index])]; return upper_bound(current.begin(), current.end(), bound) - current.begin(); } long long get(int mx, int bound) { long long res = 0; for (int i = 1; i <= mx; ++i) { res += getForX(i, bound); } return res; } long long getForY(int index, int bound) { vector<int> &current = MX[make_pair(a[index], b[index])]; return upper_bound(current.begin(), current.end(), bound) - current.begin(); } int calc(int mx) { int left_bound = 1, right_bound = my; while (right_bound - left_bound > 1) { int middle = (left_bound + right_bound) / 2; if (get(mx, middle) >= w) { right_bound = middle; } else { left_bound = middle; } } if (get(mx, left_bound) >= w) { return left_bound; } if (get(mx, right_bound) >= w) { return right_bound; } return -1; } void trivial(int mx, int my, int w) { long long res = 1000000000000000000LL; int x = -1, y = -1; for (int i = 1; i <= mx; ++i) { for (int j = 1; j <= my; ++j) { int score = 0; for (int a = 1; a <= i; ++a) { for (int b = 1; b <= j; ++b) { if (a * b == r[a] * r[b]) { ++score; } } } if (score >= w && i * j < res) { res = i * j; x = i; y = j; } } } cout << x << " " << y << endl; } int main() { for (int i = 1; i < maxN; ++i) { r[i] = rev(i); } cin >> mx >> my >> w; for (int i = 1; i <= max(mx, my); ++i) { a[i] = r[i]; b[i] = i; int d = gcd(a[i], b[i]); a[i] /= d; b[i] /= d; MY[make_pair(a[i], b[i])].push_back(i); MX[make_pair(b[i], a[i])].push_back(i); } long long res = 1000000000000000000LL; int x = -1, y = -1; int currentY = calc(mx); if (currentY == -1) { cout << -1 << endl; return 0; } x = mx; y = currentY; res = (long long)(x) * (long long)(y); long long value = get(x, y); for (int i = mx - 1; i >= 1; --i) { value -= getForX(i + 1, currentY); while (currentY < my && value < w) { value += getForY(currentY + 1, i); ++currentY; } if (value < w) { break; } if ((long long)(i) * (long long)(currentY) < res) { res = (long long)(i) * (long long)(currentY); x = i; y = currentY; } } cout << x << " " << y << endl; return 0; }
#include <bits/stdc++.h> using namespace std; map<pair<int, int>, int> A, B; int MA, MB, W; int r1, r2; int rev(int u) { int v = 0; for (; u; u /= 10) v = v * 10 + u % 10; return v; } int gcd(int a, int b) { return !b ? a : gcd(b, a % b); } int main() { scanf("%d%d%d", &MA, &MB, &W); for (int i = 1; i <= MA; i++) { int u = i, v = rev(i); A[make_pair(u / gcd(u, v), v / gcd(u, v))]++; } r1 = r2 = -1; long long now = 0; for (int i = MA, j = 0; i; i--) { while (j < MB && now < W) { ++j; int u = rev(j), v = j; pair<int, int> tmp = make_pair(u / gcd(u, v), v / gcd(u, v)); now += A[tmp]; B[tmp]++; } if (now >= W) { if (r1 == -1 || (long long)r1 * r2 > (long long)i * j) r1 = i, r2 = j; } int u = i, v = rev(i); pair<int, int> tmp = make_pair(u / gcd(u, v), v / gcd(u, v)); now -= B[tmp]; A[tmp]--; } if (r1 == -1) printf("-1\n"); else printf("%d %d\n", r1, r2); }
#include <bits/stdc++.h> using namespace std; const int MAX = 1e5 + 20; template <typename T> inline void hash_combine(size_t &seed, const T &value) { seed ^= hash<T>()(value) + 0x9e3779b9 + (seed << 6) + (seed >> 2); } template <typename T> inline void hash_val(size_t &seed, const T &val) { hash_combine(seed, val); } template <typename T, typename... Types> inline void hash_val(size_t &seed, const T &val, const Types &...args) { hash_combine(seed, val); hash_val(seed, args...); } template <typename... Types> inline size_t hash_val(const Types &...args) { size_t seed = 0; hash_val(seed, args...); return seed; } class obHash { public: std::size_t operator()(const pair<long long, long long> &c) const { return hash_val(c.first, c.second); } }; long long rev[MAX]; unordered_map<pair<long long, long long>, long long, obHash> m1, m2; long long gcd(long long a, long long b) { if (b == 0) return a; else return gcd(b, a % b); } pair<long long, long long> aa[MAX], bb[MAX]; long long maxx, maxy, w; int main() { scanf("%lld%lld%lld", &maxx, &maxy, &w); for (int i = (1); i <= (100000); ++i) { int tt = i, base = 1; rev[i] = 0; tt /= 10; while (tt) { tt /= 10; base *= 10; } tt = i; while (tt) { rev[i] += base * (tt % 10); tt /= 10; base /= 10; } } for (int i = (1); i <= (100000); ++i) { long long d = gcd(i, rev[i]); aa[i] = {(long long)i / d, rev[i] / d}; bb[i] = {rev[i] / d, (long long)i / d}; } long long x = 1, y = maxy; for (int i = (1); i <= (maxy); ++i) { ++m2[bb[i]]; } ++m1[aa[1]]; long long value = m1[aa[1]] * m2[aa[1]], ans = LLONG_MAX, optx, opty; while (x <= maxx && y >= 1) { if (value >= w) { if ((long long)x * y < ans) ans = (long long)x * y, optx = x, opty = y; value -= m1[bb[y]], --m2[bb[y]], --y; } else { ++x; if (x <= maxx) { ++m1[aa[x]], value += m2[aa[x]]; } } } if (ans == LLONG_MAX) printf("-1\n"); else printf("%lld %lld\n", optx, opty); return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, w, x = -1, y, tot; long long ans = (long long)1e18; map<pair<int, int>, int> A, B; int gcd(int a, int b) { if (b == 0) return a; else return gcd(b, a % b); } pair<int, int> caln_A(int x) { int k = x, rev = 0; while (x > 0) { rev = rev * 10 + x % 10; x /= 10; } int d = gcd(k, rev); k /= d; rev /= d; return make_pair(k, rev); } pair<int, int> caln_B(int x) { pair<int, int> now = caln_A(x); swap(now.first, now.second); return now; } int main() { int j = 0; tot = 0; scanf("%d%d%d", &n, &m, &w); for (int i = 1; i <= n; i++) A[caln_A(i)]++; for (int i = n; i >= 1; i--) { while (tot < w && j < m) { j++; pair<int, int> now = caln_B(j); B[now]++; tot += A[now]; } if (tot < w) continue; if ((long long)i * j <= ans) ans = (long long)i * j, x = i, y = j; pair<int, int> now = caln_A(i); tot -= B[now]; A[now]--; } if (x == -1) printf("-1\n"); else printf("%d %d\n", x, y); }
#include <bits/stdc++.h> using namespace std; map<double, long long> a1, a2; long long maxx, maxy, w, cnt, l, r = 1, x, y; double tmp; inline long long qpow(register long long x) { long long ans = 0; while (x) { ans = ans * 10 + x % 10; x /= 10; } return ans; } int main() { scanf("%lld%lld%lld", &maxx, &maxy, &w); for (register int i = 1; i <= maxx; i++) a1[1.0 * i / qpow(i)]++; for (register int i = 1; i <= maxy; i++) cnt += a1[1.0 * qpow(i) / i]; if (cnt < w) return puts("-1"), 0; l = x = maxx; y = maxy; cnt = a1[1.0]; a2[1.0]++; while (l >= 1 && r <= maxy) { if (cnt >= w) { if (l * r < x * y) x = l, y = r; tmp = (double)l / qpow(l); cnt -= a2[tmp]; a1[tmp]--; l--; } else { r++; tmp = (double)qpow(r) / r; cnt += a1[tmp]; a2[tmp]++; } } printf("%lld %lld\n", x, y); return 0; }
#include <bits/stdc++.h> using namespace std; using namespace std; class BIT { public: int tree[100002 + 1]; BIT() { memset(tree, 0, sizeof(tree)); } void update(int index, int val) { while (index <= 100002) { tree[index] += val; index += (index & -index); } } int query(int index) { int sum = 0; while (index > 0) { sum += tree[index]; index -= (index & -index); } return sum; } int readsingle(int index) { int sum = tree[index]; int z = index - (index & -index); index--; while (index != z) { sum -= tree[index]; index -= (index & -index); } return sum; } }; BIT B; int mx, my, w; struct node { int num, n, d; }; node N[100002]; int gcd(int a, int b) { if (a < b) swap(a, b); if (b == 0) return a; return gcd(b, a % b); } bool cmp(node A, node B) { if (A.n == B.n) return A.d < B.d; return A.n < B.n; } map<pair<int, int>, int> MIN, MAX; int R(int i) { stringstream s, ss; s << i; string r = s.str(); s.clear(); reverse(r.begin(), r.end()); ss << r; int j; ss >> j; return j; } int main() { cin >> mx >> my >> w; int MX = max(mx, my); vector<int> vec[MX + 1]; for (int i = 1; i < MX + 1; ++i) { int reverse = R(i); int g = gcd(i, reverse); int NN = i / g; int D = reverse / g; N[i].num = i; N[i].n = NN; N[i].d = D; } sort(N + 1, N + MX + 1, cmp); for (int i = 1; i < MX + 1; ++i) { pair<int, int> temp = make_pair(N[i].n, N[i].d); if (MIN[temp] == 0) { MIN[temp] = (1 << 22); } MIN[temp] = min(MIN[temp], i); MAX[temp] = max(MAX[temp], i); } int from = 1; for (int to = 1; to < MX + 2; ++to) { if (to == MX + 1 || !(N[to].n == N[from].n && N[to].d == N[from].d)) { int nr = N[from].d; int dr = N[from].n; pair<int, int> temp = make_pair(nr, dr); int L = MIN[temp], R = MAX[temp]; if (R != 0) { for (int i = from; i < to; ++i) { for (int j = L; j < R + 1; ++j) { vec[N[i].num].push_back(N[j].num); } } } from = to; } } long long int prod = (1LL << 50), xx, yy; for (int i = 1; i < mx + 1; ++i) { int size = vec[i].size(); for (int j = 0; j < size; ++j) { B.update(vec[i][j], 1); } int lo = 1, hi = my; for (int rep = 0; rep < 19; ++rep) { int mid = (lo + hi) >> 1; int prod = B.query(mid); if (prod < w) { lo = mid; } else hi = mid; } if (B.query(lo) >= w) lo = lo; else if (B.query(hi) >= w) lo = hi; else lo = -1; if (lo != -1) { long long int temp = (long long int)lo * i; if (temp < prod) { prod = temp; xx = i; yy = lo; } } } if (prod == (1LL << 50)) { cout << "-1"; } else cout << xx << " " << yy; return 0; }
#include <bits/stdc++.h> using namespace std; int rev(int a) { int res = 0; while (a > 0) { res *= 10; res += a % 10; a /= 10; } return res; } pair<int, int> rev(pair<int, int> a) { return make_pair(a.second, a.first); } int gcd(int a, int b) { if (b == 0) return a; return gcd(b, a % b); } int A, B, W, M, co[100100], rco[100100], x[200100], y[200100]; pair<int, int> frac[100100]; pair<int, int> check(long long P) { memset(x, 0, sizeof(int) * M); memset(y, 0, sizeof(int) * M); int cur = min(P, (long long)B); for (int i = (1); i < (cur + 1); ++i) ++y[rco[i]]; int lim = min(P, (long long)A); long long ile = 0; for (int i = (1); i < (lim + 1); ++i) { while ((long long)cur * i > P) { --y[rco[cur]]; ile -= x[rco[cur]]; --cur; } ++x[co[i]]; ile += y[co[i]]; if (ile >= W) return make_pair(i, cur); } return make_pair(-1, -1); } int main(void) { scanf("%d%d%d", &A, &B, &W); vector<pair<int, int> > all; for (int i = (1); i < (max(A, B) + 1); ++i) { int d = gcd(i, rev(i)); frac[i] = make_pair(i / d, rev(i) / d); all.push_back(frac[i]); all.push_back(rev(frac[i])); } M = ((int)((all).size())); sort((all).begin(), (all).end()); for (int i = (1); i < (max(A, B) + 1); ++i) { co[i] = lower_bound((all).begin(), (all).end(), frac[i]) - all.begin(); rco[i] = lower_bound((all).begin(), (all).end(), rev(frac[i])) - all.begin(); } long long l = 1, r = (long long)A * B, mid; pair<int, int> best = make_pair(-1, -1); while (l <= r) { mid = (l + r) / 2; pair<int, int> z = check(mid); if (z.first == -1) l = mid + 1; else { best = z; r = mid - 1; } } if (best.first == -1) puts("-1"); else printf("%d %d\n", best.first, best.second); return 0; }
#include <bits/stdc++.h> using namespace std; #pragma comment(linker, "/stack:16000000") #pragma warning(disable : 4996) const int inf = 1 << 25; const double eps = 1e-9; map<pair<int, int>, vector<int> > Y; const int MAXN = 101000; int gcd(int a, int b) { return !b ? a : gcd(b, a % b); } int revMemo[MAXN]; int rev(int x) { int& ret = revMemo[x]; if (ret != -1) return ret; ret = 0; while (x > 0) { ret = ret * 10 + x % 10; x /= 10; } return ret; } int add[MAXN]; bool cmp(const pair<int, int>& A, const pair<int, int>& B) { return (long long)A.first * A.second < (long long)B.first * B.second; } int main() { memset((revMemo), (-1), sizeof(revMemo)); for (int i = (1); i < (100010); ++i) { int y = i; int yrev = rev(y); int d = gcd(y, yrev); y /= d, yrev /= d; Y[pair<int, int>(yrev, y)].push_back(i); } int maxX, maxY, w; cin >> maxX >> maxY >> w; pair<int, int> ans(inf, inf); int cury = 0; int cs = 0; memset((add), (0), sizeof(add)); for (int i = (1); i < (maxX + 1); ++i) { int x = i; int xrev = rev(x); int d = gcd(x, xrev); x /= d, xrev /= d; vector<int>& a = Y[pair<int, int>(x, xrev)]; for (int j = (0); j < ((int)a.size()); ++j) { int y = a[j]; if (y <= cury) ++cs; ++add[y]; } if (cs >= w) { while (cs - add[cury] >= w) cs -= add[cury], --cury; } else { while (cury < maxY && cs < w) cs += add[++cury]; } if (cs >= w) ans = min(ans, pair<int, int>(i, cury), cmp); } if (ans.first == inf) printf("-1\n"); else printf("%d %d\n", ans.first, ans.second); return 0; }
#include <bits/stdc++.h> using namespace std; int mx, mn, w, x, cc, y, ansx, ansy; map<double, int> m1, m2; double q; int rev(int x) { int ret = 0; while (x > 0) ret = ret * 10 + (x % 10), x /= 10; return ret; } int main() { cin >> mx >> mn >> w; for (int i = 1; i <= mx; i++) q = i * 1.0 / rev(i), m1[q]++; x = mx; while (y <= mn && x >= 1) { if (cc < w && y < mn) y++, q = (rev(y) * 1.0) / y, cc += m1[q], m2[q]++; else if (cc >= w) { if (ansx * ansy > x * y || !ansx) ansx = x, ansy = y; q = (x * 1.0) / rev(x), cc -= m2[q], m1[q]--, x--; } else y = mn + 1; } if (!ansx) cout << -1; else cout << ansx << " " << ansy; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 100000; long long rev[MAXN]; struct cmp { bool operator()(const int &a, const int &b) const { return a * rev[b] < b * rev[a]; } }; map<int, int, cmp> map1, map2; int X, Y, W; int reverse(int x) { int ret = 0; while (x) { int dig = x % 10; x /= 10; ret = 10 * ret + dig; } return ret; } int main() { scanf("%d %d %d", &X, &Y, &W); for (int i = 0; i < MAXN; ++i) { rev[i] = reverse(i); if (reverse(rev[i]) != i) rev[i] = 0; } int a = 0; int b = 0; long long cnt = 0; while (b + 1 < MAXN) { ++b; ++map2[b]; } int ansx = -1, ansy; long long best = -1; while (a < MAXN && b > 0) { if (cnt < W) { ++a; if (rev[a]) { cnt += map2[rev[a]]; } ++map1[a]; } else { if (a <= X && b <= Y) { long long prod = a; prod *= b; if ((best == -1) || prod < best) { best = prod; ansx = a; ansy = b; } } if (rev[b]) { cnt -= map1[rev[b]]; } --map2[b]; --b; } } if (ansx != -1) { printf("%d %d\n", ansx, ansy); } else { printf("-1\n"); } return 0; }
#include <bits/stdc++.h> using namespace std; int num[120]; int Rev(int x) { int t = 0; while (x > 0) { num[t++] = x % 10; x /= 10; } int sum = 0; for (int i = 0; i < t; i++) { sum *= 10; sum += num[i]; } return sum; } struct Np { int x, y; } q[1500000]; bool cmp(const Np &x, const Np &y) { if (x.y == y.y) return x.x > y.x; return x.y < y.y; } struct D { int x, y; double va; } d[150000]; const double eps = 1e-13; double Ab(double x) { if (x < 0.0) return -x; return x; } bool Eq(double x, double y) { if (Ab(x - y) < eps) return true; return false; } bool cmp2(const D &x, const D &y) { if (Eq(x.va, y.va)) return x.x > y.x; return x.va < y.va; } int Cal(int x, int y) { int t = 0; int gs = max(x, y); int i; for (i = 1; i <= gs; i++) { d[i - 1].x = i; d[i - 1].y = Rev(i); d[i - 1].va = (double)i / (double)Rev(i); } sort(d, d + gs, cmp2); for (i = 0; i < gs; i++) { if (d[i].x > x) continue; int nx, ny; int tx, ty; nx = d[i].x; ny = d[i].y; int lo, up, mid; lo = 0; up = gs; while (lo + 1 < up) { mid = (lo + up) / 2; if (d[i].va * d[mid].va > 1.0 + eps) up = mid; else lo = mid; } for (int j = lo; j >= 0; j--) { tx = d[j].x; ty = d[j].y; if (tx > y || d[i].va * d[j].va > 1.0 + eps) break; else { if ((long long)tx * (long long)nx == (long long)ny * (long long)ty) { q[t].x = nx; q[t].y = tx; t++; } else break; } } } sort(q, q + t, cmp); return t; } int tree[150000]; int N; void init() { for (int i = 1; i <= N; i++) tree[i] = 0; } int read(int k) { int sum = 0; while (k) { sum += tree[k]; k -= k & -k; } return sum; } void update(int k, int v) { while (k <= N) { tree[k] += v; k += k & -k; } } int n, m, w, i, x, y, po; int main() { while (~scanf("%d%d%d", &n, &m, &w)) { int num = Cal(n, m); N = n; init(); po = n; x = n + 1; y = m + 1; for (i = 0; i < num; i++) { update(q[i].x, 1); while (po >= 1 && read(po) >= w) { if ((long long)x * (long long)y > (long long)q[i].y * (long long)po) { x = po; y = q[i].y; } po--; } } if (x == n + 1 && y == m + 1) puts("-1"); else printf("%d %d\n", x, y); } }
#include <bits/stdc++.h> using namespace std; int maxx, maxy, w, l, r, ans, ansl, ansr, cnt, sum; map<double, int> t1, t2; inline int read() { int s = 0, w = 1; char ch = getchar(); while (ch < '0' || ch > '9') { if (ch == '-') w = -1; ch = getchar(); } while (ch >= '0' && ch <= '9') { s = s * 10 + ch - '0'; ch = getchar(); } return s * w; } int rev(int x) { int res = 0; while (x) { res = res * 10 + x % 10; x /= 10; } return res; } int main() { maxx = read(); maxy = read(); w = read(); ans = 1e10; for (int i = 1; i <= maxx; i++) t1[1.0 * i / rev(i)]++; for (int i = 1; i <= maxy; i++) sum += t1[1.0 * rev(i) / i]; if (sum < w) printf("%d\n", -1); else { l = maxx, r = 0; while (l && r <= maxy) { while (cnt < w && r <= maxy) { r++; t2[1.0 * rev(r) / r]++; cnt += t1[1.0 * rev(r) / r]; } if (cnt >= w && r * l < ans) { ans = r * l; ansl = l; ansr = r; } cnt -= t2[1.0 * l / rev(l)]; t1[1.0 * l / rev(l)]--; l--; } printf("%d %d\n", ansl, ansr); } return 0; }
#include <bits/stdc++.h> using namespace std; int rev(int a) { int b = 0; while (a) { b = b * 10 + a % 10; a /= 10; } return b; } int gcd(int a, int b) { while (b) { int t = a % b; a = b; b = t; } return a; } int main() { int mx, my, w; scanf("%d%d%d", &mx, &my, &w); multimap<pair<int, int>, pair<int, int> > cor; for (int i = 1; i <= my; i++) { int r = rev(i); int d = gcd(i, r); int a = i / d, b = r / d; cor.insert(make_pair(make_pair(a, b), make_pair(i, r))); } static vector<int> list[110000]; int count = 0; for (int i = 1; i <= mx; i++) { int r = rev(i); int d = gcd(i, r); int a = i / d, b = r / d; pair<int, int> t(b, a); for (multimap<pair<int, int>, pair<int, int> >::iterator p = cor.lower_bound(t); p != cor.end() && p->first == t; p++) { list[i].push_back(p->second.first); count++; } } if (count < w) { puts("-1"); return 0; } priority_queue<int> ids; int sy = my, sx = mx; for (int i = 1; i <= mx; i++) { for (vector<int>::iterator j = list[i].begin(); j != list[i].end(); j++) { ids.push(*j); } while ((int)ids.size() > w) ids.pop(); if ((int)ids.size() >= w) { int y = i; int x = ids.top(); if ((long long)sy * (long long)sx > (long long)y * (long long)x) { sy = y; sx = x; } } } printf("%d %d\n", sy, sx); return 0; }
#include <bits/stdc++.h> using namespace std; int gcd(int n, int m) { if (n == 0) return m; return gcd(m % n, n); } int reverseNumber(int x) { int temp = 0; while (x) { temp = 10 * temp + (x % 10); x /= 10; } return temp; } pair<int, int> getNormalizedCount1(int x) { int revX = reverseNumber(x); int g = gcd(x, revX); return make_pair(x / g, revX / g); } pair<int, int> getNormalizedCount2(int x) { pair<int, int> pr = getNormalizedCount1(x); return make_pair(pr.second, pr.first); } int main() { int maxX, maxY, w; scanf("%d%d%d", &maxX, &maxY, &w); map<pair<int, int>, int> count1, count2; long long int total = 0; for (int i = 1; i <= maxY; ++i) { count1[getNormalizedCount1(i)]++; } int curY = maxY, ans_x, ans_y; long long int mx = ((long long int)maxY) * ((long long int)(maxX + 1)); long long int ans = mx; for (int i = 1; i <= maxX; ++i) { total += count1[getNormalizedCount2(i)]; ++count2[getNormalizedCount2(i)]; while (curY > 0) { int temp = count2[getNormalizedCount1(curY)]; if ((total - temp) < w) break; total -= temp; --count1[getNormalizedCount1(curY)]; --curY; } if (total >= w) { long long int cur_ans = ((long long int)i) * ((long long int)curY); if (cur_ans < ans) { ans = cur_ans; ans_x = i; ans_y = curY; } } } if (ans == mx) printf("-1\n"); else printf("%d %d\n", ans_x, ans_y); return 0; }
#include <bits/stdc++.h> using namespace std; double a[100010], b[100010], rev[100010]; multimap<double, int> xmap, ymap; multimap<double, int>::iterator xit[100010], yit[100010]; int mx, my, w; int main(int argc, char** argv) { cin >> mx >> my >> w; for (int i = 1; i <= max(mx, my); i++) { rev[i] = 0; int k = i; while (k) { rev[i] = rev[i] * 10 + k % 10; k /= 10; } a[i] = (double)i / rev[i]; b[i] = (double)rev[i] / i; if (i <= mx) xit[i] = xmap.insert(make_pair(a[i], i)); } int cnt = 0; int rx, ry, rt = -1; for (int i = 1, j = mx; i <= my; i++) { cnt += xmap.count(b[i]); yit[i] = ymap.insert(make_pair(b[i], i)); while (cnt >= w) { if (rt == -1 || i * j < rt) { rt = i * j; rx = j; ry = i; } cnt -= ymap.count(a[j]); xmap.erase(xit[j]); j -= 1; } } if (rt == -1) cout << rt << endl; else cout << rx << " " << ry << endl; return (EXIT_SUCCESS); }
#include <bits/stdc++.h> using namespace std; const int maxn = 1e5 + 5, mod = 1e6 + 3, inf = 0x3f3f3f3f; template <class T> T QuickMod(T a, T b, T c) { T ans = 1; while (b) { if (b & 1) ans = ans * a % c; b >>= 1; a = (a * a) % c; } return ans; } template <class T> T Gcd(T a, T b) { return b != 0 ? Gcd(b, a % b) : a; } template <class T> T Lcm(T a, T b) { return a / Gcd(a, b) * b; } template <class T> void outln(T x) { cout << x << endl; } int mx, my, w, cnt; map<double, long long> m, n; int rev(int k) { int a = 0; while (k) { a = a * 10 + k % 10; k /= 10; } return a; } int main() { cin >> mx >> my >> w; for (int i = 1; i <= mx; i++) m[1.0 * i / rev(i)]++; for (int i = 1; i <= my; i++) cnt += m[1.0 * rev(i) / i]; if (cnt < w) { puts("-1"); return 0; } int dx = mx, dy = 1, cnt = m[1.0], x = mx, y = my; double t; n[1.0]++; while (dx > 0 && dy <= my) { if (cnt >= w) { if (1ll * dx * dy < 1ll * x * y) { x = dx; y = dy; } t = 1.0 * dx / rev(dx); cnt -= n[t]; m[t]--; dx--; } else { dy++; t = 1.0 * rev(dy) / dy; cnt += m[t]; n[t]++; } } cout << x << ' ' << y << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int gcd(int a, int b) { while (b) { int c = a % b; a = b; b = c; } return a; } pair<int, int> F(int n) { int m = 0; for (int i = n; i; i /= 10) m = m * 10 + i % 10; int d = gcd(n, m); return pair<int, int>(n / d, m / d); } const int N = 100000 + 10; pair<int, int> a[N], b[N]; int main() { int n, m, w; scanf("%d %d %d", &n, &m, &w); map<pair<int, int>, int> A, B; for (int i = 1; i < N; ++i) { a[i] = F(i); b[i] = pair<int, int>(a[i].second, a[i].first); } int i = 1, j; int cnt = 0; for (j = 1; j <= m; ++j) B[a[j]]++; for (i = 1; i <= n; ++i) { A[a[i]]++; cnt += B[b[i]]; if (cnt >= w) break; } if (cnt < w) { puts("-1"); return 0; } j = m; while (true) { if (cnt - A[b[j]] < w) break; cnt -= A[b[j]]; B[a[j]]--; --j; } int ret = i * j; int ret_i = i, ret_j = j; for (++i; i <= n; ++i) { A[a[i]]++; cnt += B[b[i]]; while (true) { if (cnt - A[b[j]] < w) break; cnt -= A[b[j]]; B[a[j]]--; --j; } if (i * j < ret) { ret = i * j; ret_i = i; ret_j = j; } } printf("%d %d\n", ret_i, ret_j); return 0; }
#include <bits/stdc++.h> using namespace std; int gcd(int a, int b) { if (b == 0) return a; else return gcd(b, a % b); } int rev(int n) { int ret = 0; while (n != 0) { ret = (10 * ret) + (n % 10); n /= 10; } return ret; } int main() { int mx, my, w; int i, j, k, t; int ax, ay; vector<int> v; map<pair<int, int>, vector<int> > mp; scanf("%d%d%d", &mx, &my, &w); for (i = 1; i <= my; i++) { j = rev(i); k = gcd(i, j); mp[make_pair(i / k, j / k)].push_back(i); } vector<int> vec(my + 1, 0); vector<vector<int> > vv; vv.push_back(v); for (i = 1; i <= mx; i++) { j = rev(i); k = gcd(i, j); v = mp[make_pair(j / k, i / k)]; for (j = 0; j < v.size(); j++) vec[v[j]]++; vv.push_back(v); } long long ans = -1; for (i = mx, j = 0, k = 0; i > 0; i--) { if (k < w && j < my) { do { j++; k += vec[j]; } while (k < w && j < my); } if (k >= w && (ans == -1 || ans > (long long)i * j)) { ans = (long long)i * j; ax = i; ay = j; } for (t = 0; t < vv[i].size(); t++) { if (vv[i][t] <= j) k--; vec[vv[i][t]]--; } } if (ans == -1) printf("-1\n"); else printf("%d %d\n", ax, ay); return 0; }
#include <bits/stdc++.h> using namespace std; template <typename A, typename B> string to_string(pair<A, B> p); template <typename A, typename B, typename C> string to_string(tuple<A, B, C> p); template <typename A, typename B, typename C, typename D> string to_string(tuple<A, B, C, D> p); string to_string(const string& s) { return '"' + s + '"'; } string to_string(const char* s) { return to_string((string)s); } string to_string(bool b) { return (b ? "true" : "false"); } string to_string(vector<bool> v) { bool first = true; string res = "{"; for (int i = 0; i < static_cast<int>(v.size()); i++) { if (!first) { res += ", "; } first = false; res += to_string(v[i]); } res += "}"; return res; } template <size_t N> string to_string(bitset<N> v) { string res = ""; for (size_t i = 0; i < N; i++) { res += static_cast<char>('0' + v[i]); } return res; } template <typename A> string to_string(A v) { bool first = true; string res = "{"; for (const auto& x : v) { if (!first) { res += ", "; } first = false; res += to_string(x); } res += "}"; return res; } template <typename A, typename B> string to_string(pair<A, B> p) { return "(" + to_string(p.first) + ", " + to_string(p.second) + ")"; } template <typename A, typename B, typename C> string to_string(tuple<A, B, C> p) { return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " + to_string(get<2>(p)) + ")"; } template <typename A, typename B, typename C, typename D> string to_string(tuple<A, B, C, D> p) { return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " + to_string(get<2>(p)) + ", " + to_string(get<3>(p)) + ")"; } void debug_out() { cerr << endl; } template <typename Head, typename... Tail> void debug_out(Head H, Tail... T) { cerr << " " << to_string(H); debug_out(T...); } const int N = (int)1e5; long long md = 998244353; long long INF = (long long)9e18; long long val[N], inv[N]; inline long long mul(long long a, long long b) { return (long long)((long long)a * b % md); } inline int power(long long a, long long b) { int res = 1; while (b > 0) { if (b & 1) { res = mul(res, a); } a = mul(a, a); b >>= 1; } return res; } inline int rev(int x) { int res = 0; while (x) { res *= 10; res += x % 10; x /= 10; } return res; } int main() { ios_base::sync_with_stdio(false); cin.tie(0); int n, m, w; cin >> n >> m >> w; for (int i = 1; i < N; i++) { val[i] = (long long)i * power(rev(i), md - 2) % md, inv[i] = power(val[i], md - 2); } map<int, int> cnt[2]; for (int i = 1; i <= m; i++) { cnt[1][val[i]]++; } int j = m; long long sum = 0; long long res = INF; long long x, y; for (int i = 1; i <= n; i++) { sum += cnt[1][inv[i]]; cnt[0][val[i]]++; while (j && sum - cnt[0][inv[j]] >= w) { cnt[1][val[j]]--; sum -= cnt[0][inv[j]]; j--; } 42; if (sum >= w) { res = min(res, (long long)i * j); if (res == (long long)i * j) { x = i; y = j; } } } if (res == INF) { cout << "-1" << '\n'; } else { cout << x << " " << y << '\n'; } return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 100100; const long long INF = 12345678987654321LL; pair<int, int> r[MAXN]; int gcd(int a, int b) { return b == 0 ? a : gcd(b, a % b); } int rev(int x) { int y = 0; while (x > 0) { y = y * 10 + x % 10; x /= 10; } return y; } pair<int, int> inv(const pair<int, int>& p) { return pair<int, int>(p.second, p.first); } void init() { for (int i = 1; i < MAXN; ++i) { int t = rev(i); int g = gcd(t, i); r[i] = make_pair(t / g, i / g); } } int main() { int nx, ny, nw; long long x, y, w; map<pair<int, int>, int> mx, my; init(); scanf("%d%d%d", &nx, &ny, &nw); for (int j = 1; j <= ny; ++j) { ++my[r[j]]; } x = y = -1; w = INF; for (long long i = 1, j = ny, k = 0; i <= nx; ++i) { ++mx[r[i]]; k += my[inv(r[i])]; while (j > 0 && k >= nw) { if (w == INF || i * j < x * y) { x = i; y = j; w = k; } --my[r[j]]; k -= mx[inv(r[j])]; --j; if (k < nw) { ++j; k += mx[inv(r[j])]; ++my[r[j]]; break; } } } if (w < INF) { printf("%d %d\n", (int)x, (int)y); } else { puts("-1"); } return 0; }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:16777216") using namespace std; struct Tree { int n; int t[4 * 100001 + 1]; void build(int sz); void build(int i, int l, int r); void add(int pos, int val); void add(int pos, int val, int i, int l, int r); int get_kth(int k); int get_kth(int k, int i, int l, int r); }; void Tree::build(int sz) { n = sz; build(1, 0, n - 1); } void Tree::build(int i, int l, int r) { if (l == r) { t[i] = 0; return; } int m = (l + r) / 2; build(i * 2, l, m); build(i * 2 + 1, m + 1, r); t[i] = t[i * 2] + t[i * 2 + 1]; } void Tree::add(int pos, int val) { add(pos, val, 1, 0, n - 1); } void Tree::add(int pos, int val, int i, int l, int r) { t[i] += val; if (l == r) return; int m = (l + r) / 2; if (pos <= m) add(pos, val, i * 2, l, m); else add(pos, val, i * 2 + 1, m + 1, r); } int Tree::get_kth(int k) { return get_kth(k, 1, 0, n - 1); } int Tree::get_kth(int k, int i, int l, int r) { assert(k >= 0 && k < t[i]); if (l == r) return l; int m = (l + r) / 2; if (k < t[i * 2]) return get_kth(k, i * 2, l, m); else return get_kth(k - t[i * 2], i * 2 + 1, m + 1, r); } int rev(int x) { char s[64]; int r = 0; for (int i = (sprintf(s, "%d", x)) - 1; i >= 0; --i) r = r * 10 + s[i] - '0'; return r; } Tree t; int maxx, maxy, w; map<double, vector<int> > g; void solution() { cin >> maxx >> maxy >> w; for (int i = 1; i <= maxy; i++) { double ratio = rev(i) * 1. / i; g[ratio].push_back(i); } t.build(maxy + 1); int x = -1, y, into = 0; for (int i = 1; i <= maxx; i++) { double ratio = i * 1. / rev(i); vector<int>& v = g[ratio]; for (int j = 0, _n = ((int)((v).size())); j < _n; ++j) t.add(v[j], +1); into += (int)((v).size()); if (into < w) continue; int val = t.get_kth(w - 1); if (x == -1 || i * val < x * y) x = i, y = val; } if (x == -1) puts("-1"); else printf("%d %d\n", x, y); } int main() { solution(); return 0; }
#include <bits/stdc++.h> using namespace std; int Rev[100001]; int maxX, maxY, W; map<pair<int, int>, vector<int> > XSobreInv; long long rev(int x) { if (Rev[x] != -1) return Rev[x]; int y = 0; while (x) { y *= 10; y += x % 10; x /= 10; } return Rev[x] = y; } int gcd(int a, int b) { return b ? gcd(b, a % b) : a; } pair<int, int> transforma(int x) { int inv = rev(x); int g = gcd(x, inv); x /= g; inv /= g; if (inv == 0) x = 1; return make_pair(x, inv); } int usei[100001]; int tenho(int x, int y) { int q = 0; pair<int, int> ok = transforma(x); swap(ok.first, ok.second); if (XSobreInv.count(ok)) { for (vector<int>::iterator it = XSobreInv[ok].begin(); it != XSobreInv[ok].end(); it++) { if (*it <= y) { q++; usei[*it]++; } else { break; } } } return q; } void atualiza(long long &X, long long &Y, long long x, long long y) { if (x * y < X * Y) { X = x; Y = y; } } int main() { scanf("%d %d %d", &maxX, &maxY, &W); memset(Rev, -1, sizeof(Rev)); XSobreInv.clear(); for (int i = 1; i < 100001; i++) { int x = i; pair<int, int> p = transforma(x); XSobreInv[p].push_back(i); } memset(usei, 0, sizeof(usei)); int total = 0; long long X = maxX + 1, Y = maxY + 1; for (int x = 1; x <= maxX; x++) { total += tenho(x, maxY); if (total >= W) { X = x; Y = maxY; break; } } if (X > maxX) { printf("-1\n"); return 0; } int xat = X; for (int y = maxY; y >= 2; y--) { total -= usei[y]; while (xat < maxX && total < W) { total += tenho(++xat, y - 1); } if (total >= W) { atualiza(X, Y, xat, y - 1); } else { break; } } cout << X << " " << Y << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int gcd(int a, int b) { if (b == 0) return a; return gcd(b, a % b); } pair<int, int> val[100000]; map<pair<int, int>, set<int> > C; int rev(int a) { int ans = 0; while (a) ans = ans * 10 + a % 10, a /= 10; return ans; } struct by_x { bool operator()(const pair<int, int>& a, const pair<int, int>& b) { if (a.first == b.first) return a.second < b.second; return a.first < b.first; } }; struct by_y { bool operator()(const pair<int, int>& a, const pair<int, int>& b) { if (a.second == b.second) return a.first < b.first; return a.second < b.second; } }; int main() { int X, Y, W; cin >> X >> Y >> W; for (int i = (1); i <= (max(X, Y)); ++i) { int r = rev(i); int g = gcd(i, r); val[i] = make_pair(i / g, r / g); C[val[i]].insert(i); } vector<pair<int, int> > evt; for (int a = (1); a <= (X); ++a) { pair<int, int> p = val[a]; swap(p.first, p.second); for (set<int>::iterator it = C[p].begin(); it != C[p].end(); it++) { int b = (*it); if (b > Y) continue; evt.push_back(make_pair(a, b)); assert(a * (long long)b == rev(a) * (long long)rev(b)); } } int N = evt.size(); if (W > N) { cout << -1 << endl; return 0; } int bestx = X + 1; int besty = Y + 1; long long area = bestx * (long long)besty; priority_queue<pair<int, int>, vector<pair<int, int> >, by_y> Q; for (int i = 0; i < N; ++i) { Q.push(evt[i]); while (Q.size() > W) Q.pop(); if (Q.size() < W) continue; int x = evt[i].first; int y = Q.top().second; if (x * (long long)y <= area) { area = x * (long long)y; bestx = x; besty = y; } } cout << bestx << " " << besty << endl; return 0; }