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#include <bits/stdc++.h> using namespace std; int n, kezd[200002], veg[200002], pos[200002], inv[200002], x, csa, csb; vector<pair<pair<int, int>, int> > sz; vector<int> v; priority_queue<pair<int, int> > q; void p() { for (int i = 1; i <= n; i++) inv[pos[i]] = i; for (int i = 1; i <= n; i++) cout << inv[i] << " "; cout << "\n"; } int main() { ios_base::sync_with_stdio(false), cin.tie(0), cout.tie(0); cin >> n; for (int i = 1; i <= n; i++) { int a, b; cin >> a >> b, kezd[i] = a, veg[i] = b; sz.push_back({{a, b}, i}); } sort(sz.begin(), sz.end()); for (int i = 1; i <= n; i++) { while (x < n && sz[x].first.first == i) q.push({-sz[x].first.second, sz[x].second}), x++; pos[i] = q.top().second, q.pop(); } for (int i = 1; i <= n; i++) { while (v.size() > 0 && veg[pos[v.back()]] < i) { v.pop_back(); } int a = kezd[pos[i]], b = veg[pos[i]]; if (v.size() > 0 && a <= v.back()) { csa = i, csb = v.back(); } while (v.size() > 0 && b >= veg[pos[v.back()]]) v.pop_back(); v.push_back(i); } if (!csa) { cout << "YES" << "\n"; p(); } else { cout << "NO" << "\n"; p(), swap(pos[csa], pos[csb]), p(); } return 0; }
#include <bits/stdc++.h> using namespace std; template <typename T1, typename T2> inline void chkmin(T1 &x, T2 y) { if (x > y) x = y; } template <typename T1, typename T2> inline void chkmax(T1 &x, T2 y) { if (x < y) x = y; } using ll = long long; using ld = long double; const string FILENAME = "input"; const int MAXN = 200228; int n; int a[MAXN], b[MAXN]; int c[MAXN]; vector<pair<int, int> > g[MAXN]; bool ok(int i, int val) { return a[i] <= val && val <= b[i]; } int who[MAXN]; vector<int> ending[MAXN]; int main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); cin >> n; for (int i = 0; i < n; i++) { cin >> a[i] >> b[i]; g[a[i]].push_back({b[i], i}); } set<pair<int, int> > s; for (int i = 1; i <= n; i++) { for (auto x : g[i]) { s.insert(x); } auto x = *s.begin(); s.erase(x); c[x.second] = i; } for (int i = 0; i < n; i++) { who[c[i]] = i; ending[b[i]].push_back(i); } for (int i = 1; i <= n; i++) { if (!s.empty()) { auto x = *s.rbegin(); int t = x.second; if (x.first >= a[who[i]]) { assert(ok(t, i) && ok(who[i], c[t])); } if (ok(t, i) && ok(who[i], c[t])) { cout << "NO\n"; for (int is = 0; is < n; is++) { cout << c[is] << ' '; } cout << '\n'; swap(c[t], c[who[i]]); for (int is = 0; is < n; is++) { cout << c[is] << ' '; } cout << '\n'; return 0; } } s.insert(make_pair(i, who[i])); for (auto x : ending[i]) { s.erase(make_pair(c[x], x)); } } for (int i = 0; i < n - 1; i++) { if (ok(i, c[i + 1]) && ok(i + 1, c[i])) { cout << "NO\n"; for (int is = 0; is < n; is++) { cout << c[is] << ' '; } cout << '\n'; swap(c[i], c[i + 1]); for (int is = 0; is < n; is++) { cout << c[is] << ' '; } cout << '\n'; return 0; } } cout << "YES\n"; for (int i = 0; i < n; i++) { cout << c[i] << ' '; } cout << '\n'; }
#include <bits/stdc++.h> using namespace std; const int mxn = 200000; int n; int a[mxn], b[mxn], first[mxn], ff[mxn]; vector<int> v[mxn]; auto cmp = [](int x, int y) { return b[x] > b[y]; }; priority_queue<int, vector<int>, decltype(cmp)> pq(cmp); map<int, int> second; int main() { ios::sync_with_stdio(0); cin.tie(0); cin >> n; for (int i = 0; i < n; i++) { cin >> a[i] >> b[i]; a[i]--, b[i]--; v[a[i]].push_back(i); } int p = -1, q = -1; for (int i = 0; i < n; i++) { for (int j : v[i]) pq.push(j); int x = pq.top(); pq.pop(); first[i] = x, ff[x] = i + 1; if (!~p) { auto it = second.lower_bound(i); if (it != second.end() && it->second >= a[x]) { p = first[it->second], q = x; } else { it = second.insert({b[x], i}).first; if (it->second < i) { if (next(it) != second.end() && i <= next(it)->second) it = second.erase(it); while (it != second.begin() && (--it)->second <= i) it = second.erase(it); } } } } cout << (!~p ? "YES" : "NO") << '\n'; for (int i = 0; i < 1 + !!~p; i++) { cout << ff[0]; for (int i = 1; i < n; i++) cout << " " << ff[i]; cout << '\n'; if (~p) swap(ff[p], ff[q]); } return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 2e5 + 7, lim = 4 * maxn; pair<int, int> segtree[lim]; set<pair<int, int> > s; vector<pair<int, pair<int, int> > > v; int ip[maxn][2], ans[maxn], pos[maxn], n, swapl = -1, swapr = -1; void build(int cur, int l, int r) { if (l == r) { segtree[cur] = {ip[pos[l]][0], l}; return; } int lc = 2 * cur, rc = lc + 1, mid = (l + r) / 2; build(lc, l, mid); build(rc, mid + 1, r); segtree[cur] = min(segtree[lc], segtree[rc]); } pair<int, int> query(int cur, int l, int r, int ql, int qr) { if (l > qr || r < ql || ql > qr) { return {INT_MAX, INT_MAX}; } if (l >= ql && r <= qr) { return segtree[cur]; } int lc = 2 * cur, rc = lc + 1, mid = (l + r) / 2; return min(query(lc, l, mid, ql, qr), query(rc, mid + 1, r, ql, qr)); } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); ; cin >> n; for (int i = 1; i <= n; i++) { cin >> ip[i][0] >> ip[i][1]; v.push_back({ip[i][0], {ip[i][1], i}}); } sort(v.rbegin(), v.rend()); for (int i = 1; i <= n; i++) { while (!v.empty() && v.back().first <= i) { s.insert(v.back().second); v.pop_back(); } pair<int, int> cur = *s.begin(); s.erase(s.begin()); ans[cur.second] = i; pos[i] = cur.second; } build(1, 1, n); for (int i = 1; i < n; i++) { int j = query(1, 1, n, i + 1, ip[pos[i]][1]).second; if (j == INT_MAX || ip[pos[j]][0] > i) continue; swapl = i; swapr = j; } if (swapl == -1) { cout << "YES\n"; } else { cout << "NO\n"; } for (int i = 1; i <= n; i++) cout << ans[i] << " "; cout << '\n'; if (swapl != -1) { swap(ans[pos[swapl]], ans[pos[swapr]]); for (int i = 1; i <= n; i++) cout << ans[i] << " "; } return 0; }
#include <bits/stdc++.h> using namespace std; long long gcd(long long a, long long b) { for (; b; a %= b, swap(a, b)) ; return a; } int n; struct pos { int l; int r; int idx; bool operator<(const pos p) const { if (r != p.r) return r < p.r; else if (l != p.l) return l < p.l; return idx < p.idx; } }; bool comp(pos p1, pos p2) { return p1.l < p2.l; } const int N = 200001; pos p[N], tmp[N]; set<pos> st; int ans1[N], ans2[N]; int ans_idx[N]; pair<int, int> segTree[N * 4]; void update(int ptr, int l, int r, int i, pair<int, int> val) { if (l > i || r < i) return; if (l == r) { segTree[ptr] = val; return; } update(ptr * 2, l, (l + r) / 2, i, val); update(ptr * 2 + 1, (l + r) / 2 + 1, r, i, val); segTree[ptr] = max(segTree[ptr * 2], segTree[ptr * 2 + 1]); } pair<int, int> getVal(int ptr, int l, int r, int i, int j) { if (l > j || r < i) return {0, 0}; if (i <= l && r <= j) return segTree[ptr]; return max(getVal(ptr * 2, l, (l + r) / 2, i, j), getVal(ptr * 2 + 1, (l + r) / 2 + 1, r, i, j)); } int main() { ios::sync_with_stdio(0); cin.tie(0), cout.tie(0); cin >> n; for (int i = 0; i < n; i++) { cin >> p[i].l >> p[i].r; p[i].idx = i; tmp[i] = p[i]; } sort(p, p + n, comp); int ptr = 0; bool isYes = true; for (int i = 0; i < n; i++) { while (ptr < n && p[ptr].l == i + 1) st.insert(p[ptr++]); pos cur = *st.begin(); st.erase(st.begin()); ans1[cur.idx] = i + 1; ans2[cur.idx] = i + 1; ans_idx[i + 1] = cur.idx; } for (int i = 1; i <= n; i++) { int idx = ans_idx[i]; pair<int, int> v = {tmp[idx].r, idx}; update(1, 1, n, i, v); if (i > 1 && isYes) { pair<int, int> res = getVal(1, 1, n, tmp[idx].l, i - 1); if (res.first >= i) { isYes = false; swap(ans2[res.second], ans2[idx]); } } } if (isYes) { cout << "YES\n"; for (int i = 0; i < n; i++) cout << ans1[i] << ' '; } else { cout << "NO\n"; for (int i = 0; i < n; i++) cout << ans1[i] << ' '; cout << "\n"; for (int i = 0; i < n; i++) cout << ans2[i] << ' '; } }
#include <bits/stdc++.h> using namespace std; pair<int, int> label[200005]; pair<pair<int, int>, int> sortedLabel[200005]; int order[200005]; int lastInd[200005]; int ans[200005]; int n; int tree[400005]; int query(int l, int r) { int res = 0; for (l += n, r += n; l < r; l >>= 1, r >>= 1) { if (l & 1) res = max(res, tree[l++]); if (r & 1) res = max(res, tree[--r]); } return res; } int main() { ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0); cin >> n; for (int i = 0; i < n; i++) { cin >> label[i].first >> label[i].second; label[i].first--; label[i].second--; sortedLabel[i].first = label[i]; sortedLabel[i].second = i; } sort(sortedLabel, sortedLabel + n); set<pair<pair<int, int>, int> > end_start; int cur = 0; for (int i = 0; i < n; i++) { while (cur < n && sortedLabel[cur].first.first <= i) { end_start.insert( {{sortedLabel[cur].first.second, sortedLabel[cur].first.first}, sortedLabel[cur].second}); cur++; } auto x = end_start.begin(); order[i] = x->second; end_start.erase(x); } for (int i = 0; i < n; i++) { lastInd[i] = label[order[i]].second; } for (int i = 0; i < n; i++) tree[n + i] = lastInd[i]; for (int i = n - 1; i > 0; i--) tree[i] = max(tree[i << 1], tree[i << 1 | 1]); pair<int, int> xchng = {-1, -1}; for (int i = 1; i < n; i++) { int maxVal = query(label[order[i]].first, i); if (maxVal >= i) { xchng.first = i; for (int j = label[order[i]].first; j < i; j++) { if (label[order[j]].second >= i) { xchng.second = j; break; } } break; } } for (int i = 0; i < n; i++) ans[order[i]] = i; if (xchng.second != -1) { cout << "NO\n"; for (int i = 0; i < n; i++) cout << ans[i] + 1 << " "; cout << "\n"; swap(order[xchng.first], order[xchng.second]); for (int i = 0; i < n; i++) ans[order[i]] = i; for (int i = 0; i < n; i++) cout << ans[i] + 1 << " "; } else { cout << "YES\n"; for (int i = 0; i < n; i++) cout << ans[i] + 1 << " "; } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 2e5 + 5; int _w; set<int> S; priority_queue<pair<int, int> > Q; int n, L[N], R[N], match[N], fr[N], vis[N]; void another(int u, int v) { static int rmp[N]; puts("NO"); for (int i = 1; i <= n; ++i) rmp[match[i]] = i; for (int i = 1; i <= n; ++i) printf("%d ", rmp[i]); putchar('\n'); int x = u; while (x != v) x = match[rmp[x]] = fr[x]; match[rmp[v]] = u; for (int i = 1; i <= n; ++i) rmp[match[i]] = i; for (int i = 1; i <= n; ++i) printf("%d ", rmp[i]); exit(0); } void dfs(int u) { set<int>::iterator it; vector<int> del; vis[u] = 1; int v; while (!S.empty()) { it = S.lower_bound(L[u]); if (it != S.end() && match[*it] == u) { del.push_back(*it); ++it; } if (it == S.end()) break; if (*it > R[u]) break; v = match[*it]; if (vis[v] == 1) another(u, v); del.push_back(*it); if (vis[v] == 2) continue; fr[v] = u; dfs(v); } while (!del.empty()) { if (S.count(del.back())) S.erase(del.back()); del.pop_back(); } vis[u] = 2; } int main(void) { static int id[N]; _w = scanf("%d", &n); for (int i = 1; i <= n; ++i) _w = scanf("%d%d", L + i, R + i), id[i] = i, S.insert(i); sort(id + 1, id + 1 + n, [](int a, int b) { return L[a] < L[b]; }); for (int i = 1, cur = 1; i <= n; ++i) { while (cur <= n && L[id[cur]] == i) Q.push(pair<int, int>(-R[id[cur]], id[cur])), ++cur; match[i] = Q.top().second; Q.pop(); } for (int i = 1; i <= n; ++i) id[match[i]] = i; for (int i = 1; i <= n; ++i) if (!vis[i]) dfs(i); puts("YES"); for (int i = 1; i <= n; ++i) printf("%d ", id[i]); return 0; }
#include <bits/stdc++.h> using namespace std; void debug_out() { cerr << endl; } template <typename Head, typename... Tail> void debug_out(Head H, Tail... T) { cerr << " " << to_string(H); debug_out(T...); } class DebugStream { } LOG; template <typename T> DebugStream &operator<<(DebugStream &s, const T &) { return s; } mt19937 rnd(chrono::steady_clock::now().time_since_epoch().count()); const int maxN = 2e5 + 9, maxV = 1e6 + 9, MOD = 1e9 + 7, SQ = 335, lg = 20, bs = 29; int le[maxN], ri[maxN], n, rsp = -1, nxt[maxN]; vector<int> solve(int cnd) { vector<int> inds(n), ret(n); iota(inds.begin(), inds.end(), 0); sort(inds.begin(), inds.end(), [&](int a, int b) { return le[a] < le[b]; }); auto compare = [&](int a, int b) { return ri[a] > ri[b] || (ri[a] == ri[b] && a > b); }; priority_queue<int, vector<int>, decltype(compare)> pq(compare); int cr = 0; auto fn = [&]() { int tpp = pq.top(); pq.pop(); if (pq.size()) { nxt[tpp] = pq.top(); } ret[tpp] = cr++; }; for (int i = 0, j = 0; i < n; i = j) { while (le[inds[i]] > cr) fn(); for (; j < n && le[inds[i]] == le[inds[j]]; j++) pq.push(inds[j]); } while (pq.size()) fn(); return ret; } void prt(vector<int> vc) { for (auto el : vc) cout << el + 1 << ' '; cout << '\n'; } int main() { ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); cin >> n; for (int i = 0; i < n; i++) { cin >> le[i] >> ri[i]; le[i]--; 42; nxt[i] = -1; } auto uno = solve(1); for (int i = 0; i < n; i++) { if (nxt[i] != -1 && uno[nxt[i]] < ri[i]) { cout << "NO\n"; prt(uno); swap(uno[i], uno[nxt[i]]); prt(uno); exit(0); } } cout << "YES\n"; prt(uno); exit(0); }
#include <bits/stdc++.h> using namespace std; struct interv { int x, y, p; bool operator<(const interv &aux) const { if (x != aux.x) return x < aux.x; return y < aux.y; } }; interv a[200005]; int n; int which[200005], ans[200005], aux[200005]; set<pair<int, int> > s; int Arb[800020], where[800020]; void update(int pos, int val, int st = 1, int dr = n, int nod = 1) { if (st == dr) { Arb[nod] = val; if (val == 1) where[nod] = pos; else where[nod] = 0; return; } int mij = (st + dr) / 2; if (pos <= mij) update(pos, val, st, mij, nod * 2); if (mij + 1 <= pos) update(pos, val, mij + 1, dr, nod * 2 + 1); Arb[nod] = Arb[nod * 2] + Arb[nod * 2 + 1]; where[nod] = max(where[nod * 2], where[nod * 2 + 1]); } int query(int x, int y, int st = 1, int dr = n, int nod = 1) { if (x <= st && dr <= y) return where[nod]; int mij = (st + dr) / 2; int ans = 0; if (x <= mij) ans = max(ans, query(x, y, st, mij, nod * 2)); if (mij + 1 <= y) ans = max(ans, query(x, y, mij + 1, dr, nod * 2 + 1)); return ans; } int main() { scanf("%d", &n); for (int i = 1; i <= n; ++i) { scanf("%d%d", &a[i].x, &a[i].y); a[i].p = i; } sort(a + 1, a + n + 1); int j = 1; for (int val = 1; val <= n; ++val) { while (j <= n && a[j].x <= val) { s.insert({a[j].y, j}); ++j; } which[val] = s.begin()->second; aux[s.begin()->second] = val; s.erase(s.begin()); } for (int val = 1; val <= n; ++val) ans[a[which[val]].p] = val; j = 1; for (int val = 1; val <= n; ++val) { while (j <= n && a[j].x <= val) { update(aux[j], 1); s.insert({a[j].y, j}); ++j; } int q = 0; int ind = which[val]; if (a[ind].x < val) q = max(q, query(a[ind].x, val - 1)); if (val < a[ind].y && q == 0) q = max(q, query(val + 1, a[ind].y)); if (q != 0) { printf("NO\n"); for (int i = 1; i <= n; ++i) printf("%d ", ans[i]); ans[a[ind].p] = q; ans[a[which[q]].p] = val; printf("\n"); for (int i = 1; i <= n; ++i) printf("%d ", ans[i]); return 0; } while (!s.empty() && s.begin()->first == val) { int j = s.begin()->second; update(aux[j], 0); s.erase(s.begin()); } } printf("YES\n"); for (int i = 1; i <= n; ++i) printf("%d ", ans[i]); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 2e5 + 5; struct node { int l, r; int id; }; void ans_swap(vector<int> &vec, int a, int b) { int p1, p2; for (int i = 1; i < vec.size(); i++) { if (vec[i] == a) p1 = i; if (vec[i] == b) p2 = i; } swap(vec[p1], vec[p2]); } void out(vector<int> &vec) { for (int i = 1; i < vec.size(); i++) { cout << vec[i] << ' '; } cout << '\n'; } int F_Min[N][20], F_Max[N][20]; int Min(int l, int r) { if (l > r) { return 1e9; } int k = (int)(log(double(r - l + 1)) / log((double)2)); return min(F_Min[l][k], F_Min[r - (1 << k) + 1][k]); } int main() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); int n; cin >> n; vector<node> v(n + 1), v2(n + 1); vector<int> ans(n + 1); set<int> s; for (int i = 1; i <= n; i++) { s.insert(i); cin >> v[i].l >> v[i].r; v[i].id = i; v2[i] = v[i]; } sort(v.begin(), v.end(), [](node &a, node &b) { return a.r < b.r; }); for (int i = 1; i <= n; i++) { int p = v[i].id; int l = v[i].l; int val = *s.lower_bound(l); ans[p] = val; s.erase(val); } for (int i = 1; i <= n; i++) { v2[i].id = ans[i]; } sort(v2.begin(), v2.end(), [](node &a, node &b) { return a.id < b.id; }); for (int i = 1; i <= n; i++) { F_Min[i][0] = F_Max[i][0] = v2[i].l; } for (int i = 1; (1 << i) <= n; i++) { for (int j = 1; j + (1 << i) - 1 <= n; j++) { F_Max[j][i] = max(F_Max[j][i - 1], F_Max[j + (1 << (i - 1))][i - 1]); F_Min[j][i] = min(F_Min[j][i - 1], F_Min[j + (1 << (i - 1))][i - 1]); } } for (int i = 1; i <= n; i++) { int t_min = Min(i + 1, v2[i].r); if (t_min <= i) { cout << "NO" << endl; out(ans); for (int j = i + 1; j <= n; j++) { if (v2[j].l == t_min && i <= v2[j].r) { ans_swap(ans, i, j); break; } } out(ans); return 0; } } cout << "YES" << endl; out(ans); }
#include <bits/stdc++.h> using namespace std; function<void(void)> ____ = []() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); }; const int MAXN = 2e5 + 7; const int INF = 0x3f3f3f3f; int n, dz[MAXN]; vector<pair<int, pair<int, int>>> vec[MAXN]; int rmax[MAXN]; template <typename T> struct SegmentTree { T maxx[MAXN << 2], lazy[MAXN << 2]; int l[MAXN << 2], r[MAXN << 2]; void build(int L, int R, int rt) { l[rt] = L; r[rt] = R; lazy[rt] = 0; if (L + 1 == R) return; int mid = (L + R) >> 1; build(L, mid, rt << 1); build(mid, R, rt << 1 | 1); } void pushdown(int rt) { if (!lazy[rt]) return; lazy[rt << 1] += lazy[rt]; lazy[rt << 1 | 1] += lazy[rt]; maxx[rt << 1] += lazy[rt]; maxx[rt << 1 | 1] += lazy[rt]; lazy[rt] = 0; } void update(int L, int R, int rt, T x) { if (L >= r[rt] || l[rt] >= R) return; if (L <= l[rt] && r[rt] <= R) { lazy[rt] += x; maxx[rt] += x; return; } pushdown(rt); update(L, R, rt << 1, x); update(L, R, rt << 1 | 1, x); maxx[rt] = max(maxx[rt << 1], maxx[rt << 1 | 1]); } T query(int L, int R, int rt) { if (L >= r[rt] || l[rt] >= R) return -INF; if (L <= l[rt] && r[rt] <= R) return maxx[rt]; pushdown(rt); return max(query(L, R, rt << 1), query(L, R, rt << 1 | 1)); } }; SegmentTree<int> ST; int main() { ____(); cin >> n; for (int i = 0; i < n; i++) { int l, r; cin >> l >> r; l--, r--; rmax[i] = r; vec[l].push_back(make_pair(r, make_pair(l, i))); } priority_queue<pair<int, pair<int, int>>, vector<pair<int, pair<int, int>>>, greater<pair<int, pair<int, int>>>> que; ST.build(0, n, 1); bool unq = true; vector<int> ret1, ret2; for (int i = 0; i < n; i++) { for (auto seg : vec[i]) que.push(seg); auto p = que.top(); que.pop(); ret1.push_back(p.second.second); if (!unq) { ret2.push_back(p.second.second); continue; } ST.update(i, i + 1, 1, p.first); if (!i) continue; int maxx = ST.query(p.second.first, i, 1); if (maxx < i) continue; unq = false; int pos = 0; for (int j = p.second.first; j < i; j++) { if (rmax[ret1[j]] >= i) { pos = j; break; } } copy(ret1.begin(), ret1.end(), back_inserter(ret2)); swap(ret2[pos], ret2[i]); } if (unq) { cout << "YES" << endl; for (int i = 0; i < n; i++) dz[ret1[i]] = i + 1; for (int i = 0; i < n; i++) cout << dz[i] << ' '; cout << endl; } else { cout << "NO" << endl; for (int i = 0; i < n; i++) dz[ret1[i]] = i + 1; for (int i = 0; i < n; i++) cout << dz[i] << ' '; cout << endl; for (int i = 0; i < n; i++) dz[ret2[i]] = i + 1; for (int i = 0; i < n; i++) cout << dz[i] << ' '; cout << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 2e5 + 50; const int mod = 1e9 + 7; long long qp(long long a, long long n) { long long res = 1; while (n > 0) { if (n & 1) res = res * a % mod; a = a * a % mod; n >>= 1; } return res; } template <class T> inline bool scan(T& ret) { char c; int sgn; if (c = getchar(), c == EOF) return 0; while (c != '-' && (c < '0' || c > '9')) c = getchar(); sgn = (c == '-') ? -1 : 1; ret = (c == '-') ? 0 : (c - '0'); while (c = getchar(), c >= '0' && c <= '9') ret = ret * 10 + (c - '0'); ret *= sgn; return 1; } int n; set<pair<int, int> > st; vector<pair<int, int> > a[maxn]; int res[maxn]; void pt(const vector<int>& x) { for (auto i : x) printf("%d ", i); printf("\n"); } int main(int argc, char* argv[]) { scanf("%d", &n); for (int i = 0; i < n; ++i) { int l, r; scanf("%d%d", &l, &r); a[l].emplace_back(r, i); } for (int i = 1; i <= n; ++i) { for (auto j : a[i]) st.emplace(j); res[st.begin()->second] = i; st.erase(st.begin()); } for (int i = 1; i <= n; ++i) { for (auto j : a[i]) st.emplace(j); if (st.size() > 1 && res[next(st.begin())->second] <= st.begin()->first) { puts("NO"); pt(vector<int>(res, res + n)); swap(res[next(st.begin())->second], res[st.begin()->second]); pt(vector<int>(res, res + n)); exit(0); } st.erase(st.begin()); } puts("YES"); pt(vector<int>(res, res + n)); return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; using ii = pair<int, int>; const int N = 2e5 + 10; int n, l[N], r[N], p[N]; vector<ii> interval[N]; multiset<ii> st; int main() { scanf("%d", &n); for (int i = 1; i <= n; i++) { scanf("%d %d", &l[i], &r[i]); interval[l[i]].push_back({r[i], i}); } for (int i = 1; i <= n; i++) { while (!interval[i].empty()) { st.insert(interval[i].back()); interval[i].pop_back(); } auto it = *st.begin(); st.erase(st.begin()); p[it.second] = i; } for (int i = 1; i <= n; i++) { interval[p[i]].push_back({i, +1}); interval[r[i] + 1].push_back({i, -1}); } vector<int> ord(n, 0); iota(ord.begin(), ord.end(), 1); sort(ord.begin(), ord.end(), [&](int x, int y) { return p[x] < p[y]; }); st.clear(); int p1 = -1, p2; for (int i : ord) { for (auto work : interval[p[i]]) if (work.second == -1) st.erase(st.find({p[work.first], work.first})); if (!st.empty()) { auto it = *st.rbegin(); int mx = it.first; if (l[i] <= mx) { p1 = i; p2 = it.second; break; } } for (auto work : interval[p[i]]) if (work.second == 1) st.insert({p[work.first], work.first}); } if (p1 + 1) { puts("NO"); for (int i = 1; i <= n; i++) printf("%d ", p[i]); puts(""); swap(p[p1], p[p2]); for (int i = 1; i <= n; i++) printf("%d ", p[i]); puts(""); } else { puts("YES"); for (int i = 1; i <= n; i++) printf("%d ", p[i]); puts(""); } return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; using ii = pair<int, int>; using vi = vector<int>; const int N = 2e5 + 5; int n, l[N], r[N], atob[N], btoa[N]; vector<ii> ops[N], rng[N]; set<int> unvis, stk; int par[N]; int anc = -1, des = -1; void dfs(int a, int dad = -1) { par[a] = dad; unvis.erase(a); stk.insert(a); int b = atob[a]; for (auto &[x, y] : rng[b]) { auto tmp = stk.lower_bound(x); if (tmp != stk.end() && *tmp <= y) { anc = *tmp, des = b; return; } for (auto it = unvis.lower_bound(x); it != unvis.end() && *it <= y;) { int i = *it; dfs(i, b); if (~anc) return; it = unvis.lower_bound(i + 1); } } stk.erase(a); } int main(int argc, char const *argv[]) { scanf("%d", &n); for (int i = 1; i <= n; ++i) { scanf("%d %d", l + i, r + i); ops[l[i]].emplace_back(i, +1); ops[r[i] + 1].emplace_back(i, -1); } set<ii> bag; for (int i = 1; i <= n; ++i) { for (ii &o : ops[i]) { int j = o.first; if (o.second == -1) { bag.erase(ii(r[j], j)); } else { bag.insert(ii(r[j], j)); } } atob[i] = bag.begin()->second; bag.erase(bag.begin()); } for (int i = 1; i <= n; ++i) { btoa[atob[i]] = i; } for (int i = 1; i <= n; ++i) { int &m = btoa[i]; if (l[i] <= m - 1) rng[i].emplace_back(l[i], m - 1); if (m + 1 <= r[i]) rng[i].emplace_back(m + 1, r[i]); } for (int i = 1; i <= n; ++i) unvis.insert(i); for (int i = 1; i <= n; ++i) { if (unvis.count(i)) { dfs(i); if (~anc) break; } } if (!~anc) { puts("YES"); for (int i = 1; i <= n; ++i) { printf("%d%c", btoa[i], " \n"[i == n]); } return 0; } puts("NO"); for (int i = 1; i <= n; ++i) { printf("%d%c", btoa[i], " \n"[i == n]); } int cura = btoa[des]; int curb = par[cura]; while (cura != anc) { int nxta = btoa[curb]; int nxtb = par[nxta]; atob[cura] = curb; btoa[curb] = cura; cura = nxta; curb = nxtb; } btoa[des] = anc; atob[anc] = des; for (int i = 1; i <= n; ++i) { printf("%d%c", btoa[i], " \n"[i == n]); } return 0; }
#include <bits/stdc++.h> using namespace std; template <class T1, class T2> ostream &operator<<(ostream &os, pair<T1, T2> &p); template <class T> ostream &operator<<(ostream &os, vector<T> &v); template <class T> ostream &operator<<(ostream &os, set<T> &v); template <class T1, class T2> ostream &operator<<(ostream &os, map<T1, T2> &v); const long long mod = 1e9 + 7; const int N = 2e5 + 5; void Print(vector<int> &v) { for (int i = 0; i < v.size(); i++) { printf("%d ", v[i]); } printf("\n"); } bool check(pair<int, int> a, pair<int, int> b, int ans1, int ans2) { return ans1 >= b.first && ans1 <= b.second && ans2 >= a.first && ans2 <= a.second; } vector<int> ans; bool comp(pair<pair<int, int>, int> a, pair<pair<int, int>, int> b) { return ans[a.second] < ans[b.second]; } void TEST_CASES(int cas) { int n; scanf("%d", &n); ans.resize(n); vector<pair<pair<int, int>, int> > v(n); vector<multiset<pair<int, int> > > st(n + 1); for (int i = 0; i < n; i++) { scanf("%d %d", &v[i].first.first, &v[i].first.second); v[i].second = i; st[v[i].first.first].insert({v[i].first.second, v[i].second}); } priority_queue<pair<int, int> > pq; for (int i = 1; i <= n; i++) { for (auto it : st[i]) { pq.push({-it.first, it.second}); } pair<int, int> p = pq.top(); pq.pop(); ans[p.second] = i; } sort(v.begin(), v.end(), comp); for (int i = 0; i < n - 1; i++) { if (check(v[i].first, v[i + 1].first, ans[v[i].second], ans[v[i + 1].second])) { printf("NO\n"); Print(ans); swap(ans[v[i].second], ans[v[i + 1].second]); Print(ans); return; } } sort(v.begin(), v.end()); for (int i = 0; i < n - 1; i++) { if (check(v[i].first, v[i + 1].first, ans[v[i].second], ans[v[i + 1].second])) { printf("NO\n"); Print(ans); swap(ans[v[i].second], ans[v[i + 1].second]); Print(ans); return; } } printf("YES\n"); Print(ans); } int main() { int t = 1, cas = 0; while (t--) { TEST_CASES(++cas); } return 0; } template <class T1, class T2> ostream &operator<<(ostream &os, pair<T1, T2> &p) { os << "{" << p.first << ", " << p.second << "} "; return os; } template <class T> ostream &operator<<(ostream &os, vector<T> &v) { os << "[ "; for (int i = 0; i < v.size(); i++) { os << v[i] << " "; } os << " ]"; return os; } template <class T> ostream &operator<<(ostream &os, set<T> &v) { os << "[ "; for (T i : v) { os << i << " "; } os << " ]"; return os; } template <class T1, class T2> ostream &operator<<(ostream &os, map<T1, T2> &v) { for (auto i : v) { os << "Key : " << i.first << " , Value : " << i.second << endl; } return os; }
#include <bits/stdc++.h> #pragma GCC optimize("Ofast", "unroll-loops", "omit-frame-pointer", "inline") #pragma GCC optimize(3, "Ofast", "inline") #pragma GCC optimize("Ofast") #pragma GCC target("avx,avx2,fma") #pragma GCC optimization("unroll-loops") using namespace std; const double esp = 1e-6, pi = acos(-1); const int N = 1e6 + 10, INF = 0x3f3f3f3f, mod = 1e9 + 7; int val[N], p[N], n, L[N], R[N]; struct node { int l, r, id; bool operator<(const node &a) const { if (l != a.l) return l < a.l; return r < a.r; } } e[N]; int sum[N * 4]; void up(int rt) { sum[rt] = sum[rt << 1] + sum[rt << 1 | 1]; } void update(int rt, int l, int r, int pos, int k) { if (l == r) { sum[rt] += k; return; } int mid = l + r >> 1; if (pos <= mid) update(rt << 1, l, mid, pos, k); else update(rt << 1 | 1, mid + 1, r, pos, k); up(rt); } int ask(int rt, int l, int r, int ql, int qr) { if (l == r) { if (sum[rt]) return l; return 0; } int ans = 0, mid = l + r >> 1; if (ql <= mid && sum[rt << 1]) ans = ask(rt << 1, l, mid, ql, qr); if (qr > mid && sum[rt << 1 | 1] && !ans) ans = ask(rt << 1 | 1, mid + 1, r, ql, qr); return ans; } int work() { scanf("%d", &n); for (int i = 1; i <= n; i++) { scanf("%d%d", &L[i], &R[i]); e[i] = {L[i], R[i], i}; } sort(e + 1, e + n + 1); set<pair<int, int> > s; for (int i = 1, j = 1; i <= n; i++) { while (j <= n && e[j].l == i) s.insert({e[j].r, e[j].id}), j++; p[i] = (*s.begin()).second; val[p[i]] = i; s.erase(s.begin()); } for (int i = 1, j = 1; i <= n; i++) { int id = p[i]; while (j <= n && e[j].l == i) update(1, 1, n, val[e[j].id], 1), j++; update(1, 1, n, val[id], -1); int ans = ask(1, 1, n, L[id], R[id]); if (ans) { puts("NO"); for (int i = 1; i <= n; i++) cout << val[i] << " "; puts(""); swap(val[id], val[p[ans]]); for (int i = 1; i <= n; i++) cout << val[i] << " "; puts(""); return 0; } } puts("YES"); for (int i = 1; i <= n; i++) cout << val[i] << " "; puts(""); return 0; } int main() { work(); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 2e5 + 9; int n, ans1 = -1, ans2, par[N]; pair<int, int> m, p[N], tree[N * 2]; vector<pair<int, int> > v[N]; set<pair<int, int> > s; pair<int, int> query(int l, int r) { pair<int, int> res; res.first = res.second = -1; r++; for (l += n, r += n; l < r; l >>= 1, r >>= 1) { if (l & 1) { if (tree[l].first > res.first) res = tree[l]; l++; } if (r & 1) { if (tree[--r].first > res.first) res = tree[r]; } } return res; } void make_tree() { for (int i = n - 1; i >= 1; i--) { pair<int, int> p1 = tree[i * 2], p2 = tree[i * 2 + 1]; if (p1.first > p2.first) tree[i] = p1; else tree[i] = p2; } } int main() { cin >> n; for (long long i = 0; i < n; i++) { scanf("%d%d", &p[i].first, &p[i].second); ; p[i].first--, p[i].second--; v[p[i].first].push_back(make_pair(p[i].second, i)); } for (long long i = 0; i < n; i++) { for (long long j = 0; j < v[i].size(); j++) s.insert(v[i][j]); pair<int, int> u = *s.begin(); s.erase(u); tree[i + n] = u; par[u.second] = i; } make_tree(); for (long long i = 0; i < n; i++) { m = query(p[i].first, par[i] - 1); if (m.first >= par[i]) ans1 = i, ans2 = m.second; } if (ans1 == -1) cout << "YES" << endl; else cout << "NO" << endl; for (long long i = 0; i < n; i++) cout << par[i] + 1 << " "; cout << endl; if (ans1 != -1) { swap(par[ans1], par[ans2]); for (long long i = 0; i < n; i++) cout << par[i] + 1 << " "; } }
#include <bits/stdc++.h> class Segtree { private: std::vector<int> t_; int n_; public: int Query(int n, int lft, int rgt, int rs, int re) { if (lft >= rs && rgt <= re) return t_[n]; if (lft > re || rgt < rs) return 0; const int mid = (lft + rgt) / 2; return std::max(Query(2 * n, lft, mid, rs, re), Query(2 * n + 1, mid + 1, rgt, rs, re)); } void Set(int n, int lft, int rgt, int pt, int v) { if (lft == rgt) { t_[n] = v; return; } const int mid = (lft + rgt) / 2; if (pt <= mid) { Set(2 * n, lft, mid, pt, v); } else { Set(2 * n + 1, mid + 1, rgt, pt, v); } t_[n] = std::max(t_[2 * n], t_[2 * n + 1]); } Segtree(int n) : n_(n), t_(4 * n + 1) {} }; template <typename T> void print_vector(const std::vector<T>& v, int lo, int hi, bool newline = true) { while (lo <= hi) { std::cout << v[lo++] << ' '; } if (newline) { std::cout << '\n'; } } void Run() { int n; std::cin >> n; std::vector<std::array<int, 2>> inter(n); std::vector<std::vector<int>> start(n + 1); std::vector<int> greed(n + 1); std::vector<int> who(n + 1); for (int i = 0; i < n; ++i) { std::cin >> inter[i][0] >> inter[i][1]; start[inter[i][0]].push_back(i); } std::set<std::pair<int, int>> by_end; for (int i = 1; i <= n; ++i) { for (int j : start[i]) { by_end.emplace(inter[j][1], j); } greed[by_end.begin()->second] = i; who[i] = by_end.begin()->second; by_end.erase(by_end.begin()); } Segtree t(n + 1); for (int i = 1; i <= n; ++i) { std::array<int, 2> interval = inter[who[i]]; if (t.Query(1, 0, n - 1, interval[0], i) >= i) { std::cout << "NO\n"; print_vector(greed, 0, n - 1); for (int j = interval[0]; j <= i; ++j) { if (inter[who[j]][1] >= i) { std::swap(greed[who[j]], greed[who[i]]); print_vector(greed, 0, n - 1); return; } } assert(false); } t.Set(1, 0, n - 1, i, interval[1]); } std::cout << "YES\n"; print_vector(greed, 0, n - 1); } int main() { srand(time(0)); std::ios_base::sync_with_stdio(false); std::cin.tie(nullptr); Run(); return 0; }
#include <bits/stdc++.h> using namespace std; long long P = 7340033; const int arrn = 2e5 + 1; template <typename T> class segtree { private: int N; T lambda(T a, T b) { return min(a, b); } T rseg(int l, int r, int i, int lt, int rt) { if (l == lt && r == rt) return tree[i]; else { int m = (lt + rt) >> 1; if (m < r && m >= l) return lambda(rseg(l, m, i << 1, lt, m), rseg(m + 1, r, ((i << 1) | 1), m + 1, rt)); else if (r <= m) return rseg(l, r, i << 1, lt, m); else if (l > m) return rseg(l, r, ((i << 1) | 1), m + 1, rt); else assert(false); } } void upseg(int index, T val, int i, int l, int r) { if (l == r) tree[i] = val; else { int m = (l + r) >> 1; if (index <= m) upseg(index, val, i << 1, l, m); else if (index > m) upseg(index, val, ((i << 1) | 1), m + 1, r); tree[i] = lambda(tree[i << 1], tree[((i << 1) | 1)]); } } void preseg(int i, int l, int r, const vector<T> &in) { if (l == r) tree[i] = in[l]; else { int m = (l + r) >> 1; preseg(i << 1, l, m, in); preseg(((i << 1) | 1), m + 1, r, in); tree[i] = lambda(tree[i << 1], tree[((i << 1) | 1)]); } } public: vector<T> tree; segtree(int siz) { N = siz; tree.resize(4 * N); } segtree(const vector<T> &in) { N = in.size(); tree.resize(4 * N); preseg(1, 0, N - 1, in); } T rng(int l, int r) { return rseg(l, r, 1, 0, N - 1); } void upd(int ind, T val) { upseg(ind, val, 1, 0, N - 1); } }; void solve() { int n; cin >> n; vector<pair<pair<int, int>, int>> tem(n); for (int i = 0; i < n; i++) { cin >> tem[i].first.first >> tem[i].first.second; tem[i].first.first--; tem[i].first.second--; tem[i].second = i; } sort(tem.begin(), tem.end()); vector<pair<int, int>> inter(n); vector<int> aind(n); for (int i = 0; i < n; i++) { inter[i] = tem[i].first; aind[i] = tem[i].second; } set<pair<pair<int, int>, int>> proc; int ind = 0; vector<int> lo(n, -1), hi(n, -1), ans1(n, -1), ans2; for (int i = 0; i < n; i++) { while (ind < n && inter[ind].first <= i) { proc.insert( make_pair(make_pair(inter[ind].second, inter[ind].first), aind[ind])); ind++; } auto it = proc.begin(); assert(it->first.first >= i); lo[i] = it->first.second; hi[i] = it->first.first; ans1[it->second] = i; proc.erase(it); } segtree<pair<int, int>> tree(n); for (int i = 0; i < n; i++) { tree.upd(i, make_pair(lo[i], i)); } ans2 = ans1; bool chk = 0; for (int i = 0; i < n; i++) { int l = i + 1, r = hi[i]; if (l > r) continue; auto tem = tree.rng(l, r); if (tem.first <= i) { int u = -1, v = -1; for (int j = 0; j < n; j++) { if (ans2[j] == i) u = j; if (ans2[j] == tem.second) v = j; } swap(ans2[u], ans2[v]); chk = 1; break; } } if (!chk) { cout << "YES\n"; for (int i = 0; i < n; i++) cout << ans1[i] + 1 << ' '; return; } cout << "NO\n"; for (int i = 0; i < n; i++) cout << ans1[i] + 1 << ' '; cout << '\n'; for (int i = 0; i < n; i++) cout << ans2[i] + 1 << ' '; cout << '\n'; } int main() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); ; int T = 1; for (int c = 0; c < T; c++) { solve(); } }
#include <bits/stdc++.h> using namespace std; const int N = 2e5 + 7, mod = 1e9 + 7; int n, l[N], r[N], ans[N], nxt[N]; vector<pair<int, int> > p[N]; priority_queue<pair<int, int>, vector<pair<int, int> >, greater<pair<int, int> > > pr; void print() { for (int i = 1; i <= n; i++) { cout << ans[i] << " "; } cout << "\n"; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cin >> n; for (int i = 1; i <= n; i++) { cin >> l[i] >> r[i]; p[l[i]].push_back(make_pair(r[i], i)); } for (int i = 1; i <= n; i++) { for (auto t : p[i]) { pr.push(t); } int now = pr.top().second; ans[now] = i; pr.pop(); if (!pr.empty()) { nxt[now] = pr.top().second; } } for (int i = 1; i <= n; i++) { if (nxt[i] == 0) continue; int nx = nxt[i]; if (l[nx] <= ans[i] && r[nx] >= ans[i] && l[i] <= ans[nx] && r[i] >= ans[nx]) { cout << "NO\n"; print(); swap(ans[i], ans[nx]); print(); return 0; } } cout << "YES\n"; print(); }
#include <bits/stdc++.h> using namespace std; vector<pair<int, int> > vec[200005]; int pos[200005]; int ans1[200005], ans2[200005]; int main() { int n; scanf("%d", &n); for (int i = 1; i <= n; i++) { int a, b; scanf("%d %d", &a, &b); vec[a].push_back({b, i}); } set<pair<int, int> > se; for (int i = 1; i <= n; i++) { for (pair<int, int> p : vec[i]) se.insert(p); pos[i] = se.begin()->second; se.erase(se.begin()); } for (int i = 1; i <= n; i++) ans1[pos[i]] = i; for (int i = 1; i <= n; i++) ans2[i] = ans1[i]; bool flag = true; for (int i = 1; i <= n; i++) { for (pair<int, int> p : vec[i]) se.insert(p); if (se.size() == 1) { se.erase(se.begin()); continue; } auto it = se.begin(); ++it; int j = it->second; if (ans1[j] <= se.begin()->first) { swap(ans2[pos[i]], ans2[j]); flag = false; break; } se.erase(se.begin()); } printf("%s\n", flag ? "YES" : "NO"); for (int i = 1; i <= n; i++) printf("%d ", ans1[i]); printf("\n"); if (!flag) { for (int i = 1; i <= n; i++) printf("%d ", ans2[i]); printf("\n"); } return 0; }
#include <bits/stdc++.h> #pragma GCC target("avx2") #pragma GCC optimize("O3") using namespace std; const int mod = (int)1e9 + 7; const int N = (int)2e5 + 123; const long long inf = (long long)1e18 + 1; const double pi = acos(-1.0); const double eps = 1e-7; const int dx[] = {0, 0, 1, 0, -1}; const int dy[] = {0, 1, 0, -1, 0}; int n, a[N], b[N], p[N], t[4 * N]; vector<int> add[N], del[N]; set<pair<int, int> > s; void upd(int pos, int val, int v = 1, int tl = 1, int tr = n) { if (tl == tr) { if (val < 0) t[v] = mod; else t[v] = val; return; } int tm = tl + tr >> 1; if (pos <= tm) upd(pos, val, v + v, tl, tm); else upd(pos, val, v + v + 1, tm + 1, tr); t[v] = min(t[v + v], t[v + v + 1]); } int get(int l, int r, int v = 1, int tl = 1, int tr = n) { if (tl > r || tr < l) return mod; if (l <= tl && tr <= r) return t[v]; int tm = tl + tr >> 1; return min(get(l, r, v + v, tl, tm), get(l, r, v + v + 1, tm + 1, tr)); } inline void boost() { ios_base ::sync_with_stdio(0); cin.tie(0), cout.tie(0); } inline void Solve() { cin >> n; set<int> s; for (int i = 1; i <= n; i++) s.insert(i); for (int i = 1; i <= n; i++) cin >> a[i] >> b[i], add[b[i]].push_back(i); for (int i = 1; i <= n; i++) { for (auto it : add[i]) { p[it] = *s.lower_bound(a[it]); s.erase(p[it]); } } for (int i = 1; i <= n; i++) add[i].clear(); for (int i = 1; i < 4 * N; i++) t[i] = mod; for (int i = 1; i <= n; i++) { add[a[i]].push_back(i); del[b[i]].push_back(i); } for (int i = 1; i <= n; i++) { for (auto it : add[i]) upd(p[it], a[it]); for (auto it : del[i]) { if (get(p[it] + 1, b[it]) <= p[it]) { int x = it, y = -1; for (int j = 1; j <= n; j++) { if (x == j) continue; if (p[x] < p[j] && p[j] <= b[it] && a[j] <= p[it]) { y = j; break; } } if (y == -1) cout << 1 / 0, exit(0); cout << "NO\n"; for (int z = 1; z <= n; z++) cout << p[z] << ' '; cout << '\n'; swap(p[x], p[y]); for (int z = 1; z <= n; z++) cout << p[z] << ' '; exit(0); } } for (auto it : del[i]) upd(p[it], -a[it]); } cout << "YES\n"; for (int i = 1; i <= n; i++) cout << p[i] << ' '; } signed main() { int tt = 1; while (tt--) { Solve(); } return 0; }
#include <bits/stdc++.h> using namespace std; template <class T1, class T2, class T3 = hash<T1>> using umap = unordered_map<T1, T2, T3>; template <class T> using uset = unordered_set<T>; template <class T> using vec = vector<T>; const long long infll = numeric_limits<long long>::max() >> 1; const int inf = numeric_limits<int>::max() >> 1; const int N = 4e5 + 5; const int M = 2e5 + 1; int n; int pos[N]; int ind[N]; pair<int, int> p[N]; vec<pair<int, int>> upd[N]; set<pair<int, int>> opt; set<int> ins; bool vis[N]; bool stk[N]; vec<int> cycle; vec<int> st; struct Dsu { int par[N]; int cnt[N]; int nxt[N]; } dsu; bool dfs(int); bool visit(int, int); int root(int u) { return dsu.par[u] == u ? u : dsu.par[u] = root(dsu.par[u]); } void unite(int u, int v) { u = root(u); v = root(v); if (dsu.cnt[u] < dsu.cnt[v]) { swap(u, v); } dsu.nxt[u] = max(dsu.nxt[u], dsu.nxt[v]); dsu.cnt[u] += dsu.cnt[v]; dsu.par[v] = u; } void input() { cin >> n; for (int i = 1; i <= n; ++i) { cin >> p[i].first; cin >> p[i].second; upd[p[i].first].push_back({p[i].second, i}); } } void construct_matching() { for (int i = 1; i <= n; ++i) { for (pair<int, int> p : upd[i]) { opt.insert(p); } ind[opt.begin()->second] = i; pos[i] = opt.begin()->second; opt.erase(opt.begin()); } } bool visit(int l, int r, int p) { int x = *ins.lower_bound(l); if (x == p) { x = *ins.upper_bound(p); } if (x <= r) { while (st.back() != x) { cycle.push_back(st.back()); st.pop_back(); } cycle.push_back(st.back()); st.pop_back(); return 1; } for (int i = dsu.nxt[root(l)]; i <= r; i = dsu.nxt[root(i + 1)]) { if (i == p) { continue; } unite(i, i + 1); if (dfs(i)) { return 1; } } return 0; } bool dfs(int u) { st.push_back(u); ins.insert(u); vis[u] = 1; stk[u] = 1; if (u <= n) { if (visit(p[u].first + n, p[u].second + n, ind[u] + n)) { return 1; } } else { if (visit(pos[u - n], pos[u - n], 0)) { return 1; } } stk[u] = 0; st.pop_back(); ins.erase(u); return 0; } void answer() { cout << "NO\n"; for (int i = 1; i <= n; ++i) { cout << ind[i] << " "; } cout << "\n"; for (int i = 0; i < (int)cycle.size(); ++i) { if (cycle[i] <= n) { ind[cycle[i]] = cycle[(i - 1 + (int)cycle.size()) % (int)cycle.size()] - n; } } for (int i = 1; i <= n; ++i) { cout << ind[i] << " "; } cout << "\n"; } void solve() { ins.insert(inf); construct_matching(); for (int i = 1; i <= 2 * n + 1; ++i) { dsu.cnt[i] = 1; dsu.par[i] = i; dsu.nxt[i] = i; } for (int i = 1; i <= n; ++i) { if (!vis[i]) { if (dfs(i)) { answer(); return; } } } cout << "YES\n"; for (int i = 1; i <= n; ++i) { cout << ind[i] << " "; } cout << "\n"; } int main() { ios_base::sync_with_stdio(false); cin.tie(0), cout.tie(0); input(); solve(); }
#include <bits/stdc++.h> using namespace std; template <class T1, class T2> ostream &operator<<(ostream &os, pair<T1, T2> &p); template <class T> ostream &operator<<(ostream &os, vector<T> &v); template <class T> ostream &operator<<(ostream &os, set<T> &v); template <class T1, class T2> ostream &operator<<(ostream &os, map<T1, T2> &v); const long long mod = 1e9 + 7; const int N = 2e5 + 5; void Print(vector<int> &v) { for (int i = 0; i < v.size(); i++) { printf("%d ", v[i]); } printf("\n"); } bool check(pair<int, int> a, pair<int, int> b, int ans1, int ans2) { return ans1 >= b.first && ans1 <= b.second && ans2 >= a.first && ans2 <= a.second; } vector<int> ans; bool comp(pair<pair<int, int>, int> a, pair<pair<int, int>, int> b) { return ans[a.second] < ans[b.second]; } void TEST_CASES(int cas) { int n; scanf("%d", &n); ans.resize(n); vector<pair<pair<int, int>, int> > v(n); vector<multiset<pair<int, int> > > st(n + 1); for (int i = 0; i < n; i++) { scanf("%d %d", &v[i].first.first, &v[i].first.second); v[i].second = i; st[v[i].first.first].insert({v[i].first.second, v[i].second}); } priority_queue<pair<int, int> > pq; for (int i = 1; i <= n; i++) { for (auto it : st[i]) { pq.push({-it.first, it.second}); } pair<int, int> p = pq.top(); pq.pop(); ans[p.second] = i; } sort(v.begin(), v.end(), comp); for (int i = 0; i < n - 1; i++) { if (check(v[i].first, v[i + 1].first, ans[v[i].second], ans[v[i + 1].second])) { printf("NO\n"); Print(ans); swap(ans[v[i].second], ans[v[i + 1].second]); Print(ans); return; } } if (0 != n - 1 && check(v[0].first, v[n - 1].first, ans[v[0].second], ans[v[n - 1].second])) { printf("NO\n"); Print(ans); swap(ans[v[0].second], ans[v[n - 1].second]); Print(ans); return; } sort(v.begin(), v.end()); for (int i = 0; i < n - 1; i++) { if (check(v[i].first, v[i + 1].first, ans[v[i].second], ans[v[i + 1].second])) { printf("NO\n"); Print(ans); swap(ans[v[i].second], ans[v[i + 1].second]); Print(ans); return; } } printf("YES\n"); Print(ans); } int main() { int t = 1, cas = 0; while (t--) { TEST_CASES(++cas); } return 0; } template <class T1, class T2> ostream &operator<<(ostream &os, pair<T1, T2> &p) { os << "{" << p.first << ", " << p.second << "} "; return os; } template <class T> ostream &operator<<(ostream &os, vector<T> &v) { os << "[ "; for (int i = 0; i < v.size(); i++) { os << v[i] << " "; } os << " ]"; return os; } template <class T> ostream &operator<<(ostream &os, set<T> &v) { os << "[ "; for (T i : v) { os << i << " "; } os << " ]"; return os; } template <class T1, class T2> ostream &operator<<(ostream &os, map<T1, T2> &v) { for (auto i : v) { os << "Key : " << i.first << " , Value : " << i.second << endl; } return os; }
#include <bits/stdc++.h> using namespace std; const int NMAX = 2e5 + 100; int n, m, k; vector<int> g[2 * NMAX]; int used[2 * NMAX]; int l[2 * NMAX]; void bfs() { queue<int> q; for (int i = 0; i < m + n; i++) l[i] = -1; for (int i = 0; i < n; i++) if (used[i] == -1) q.push(i), l[i] = 0; k = 1e9; while (!q.empty()) { int v = q.front(); if (l[v] >= k) return; if (l[v] % 2 == 0) { for (int i : g[v]) if (l[i] == -1) { q.push(i); l[i] = l[v] + 1; if (used[i] == -1) k = l[i]; } } else if (l[used[v]] == -1) { if (used[v] == -1) cout << "WARNING\n"; l[used[v]] = l[v] + 1; q.push(used[v]); } q.pop(); } } bool dfs(int v) { if (v == -1) return true; for (int to : g[v]) if ((used[to] == -1) or (l[used[to]] == l[v] - 2)) if (dfs(used[to])) { used[to] = v; used[v] = to; return true; } l[v] = -1; return false; } void SARA() { for (int i = 0; i < n + m; i++) used[i] = -1; while (true) { bfs(); if (k == 1e9) break; for (int i = 0; i < m + n; i++) if ((l[i] == k) and (used[i] == -1)) dfs(i); } } void add_edge(int i, int j) { g[i - 1].push_back(n + j - 1); g[n + j - 1].push_back(i - 1); } int N; int lt[NMAX]; int rt[NMAX]; set<vector<int> > answers; void add(vector<int> ans) { answers.insert(ans); if (answers.size() > 1) { cout << "NO\n"; for (auto it = answers.begin(); it != answers.end(); it++, cout << "\n") for (int i : *it) cout << i << " "; exit(0); } } void try_() { for (int i = 0; i < 2 * N; i++) g[i].clear(); vector<int> pr; for (int i = 1; i <= n; i++) pr.push_back(i); random_shuffle(pr.begin(), pr.end()); vector<int> bck(n); for (int i = 0; i < n; i++) bck[pr[i] - 1] = i + 1; for (int i = 1; i <= N; i++) { if (rt[i] - lt[i] < 6) for (int j = lt[i]; j <= rt[i]; j++) add_edge(pr[i - 1], pr[j - 1]); else { set<int> st; while (st.size() < 5) st.insert(rand() % (rt[i] - lt[i] + 1) + lt[i]); for (int j : st) add_edge(pr[i - 1], pr[j - 1]); } } SARA(); int q = 0; for (int i = 0; i < n; i++) if (used[i] != -1) q++; if (q < n) return; vector<int> ans(n); for (int i = 0; i < n; i++) ans[i] = bck[used[pr[i] - 1] - n]; add(ans); } void gridi() { vector<int> ans(n); set<pair<pair<int, int>, int> > st; set<pair<int, int> > bef; for (int i = 1; i <= n; i++) st.insert({{lt[i], rt[i]}, i - 1}); for (int i = 1; i <= n; i++) { while ((st.size() > 0) and ((*st.begin()).first.first <= i)) { bef.insert({(*st.begin()).first.second, (*st.begin()).second}); st.erase(st.begin()); } if (bef.size() == 0) return; ans[(*bef.begin()).second] = i; bef.erase(bef.begin()); } add(ans); } void gridi2() { for (int i = 1; i <= n; i++) lt[i] = n + 1 - lt[i], rt[i] = n + 1 - rt[i], swap(lt[i], rt[i]); vector<int> ans(n); set<pair<pair<int, int>, int> > st; set<pair<int, int> > bef; for (int i = 1; i <= n; i++) st.insert({{lt[i], rt[i]}, i - 1}); for (int i = 1; i <= n; i++) { while ((st.size() > 0) and ((*st.begin()).first.first <= i)) { bef.insert({(*st.begin()).first.second, (*st.begin()).second}); st.erase(st.begin()); } if (bef.size() == 0) { for (int i = 1; i <= n; i++) lt[i] = n + 1 - lt[i], rt[i] = n + 1 - rt[i], swap(lt[i], rt[i]); return; } ans[(*bef.begin()).second] = i; bef.erase(bef.begin()); } for (int i = 1; i <= n; i++) lt[i] = n + 1 - lt[i], rt[i] = n + 1 - rt[i], swap(lt[i], rt[i]); for (int& i : ans) i = n + 1 - i; add(ans); } void gridi3() { vector<int> ans(n); set<pair<pair<int, int>, int> > st; set<pair<int, int> > bef; for (int i = 1; i <= n; i++) st.insert({{lt[i], rt[i]}, -i + 1}); for (int i = 1; i <= n; i++) { while ((st.size() > 0) and ((*st.begin()).first.first <= i)) { bef.insert({(*st.begin()).first.second, (*st.begin()).second}); st.erase(st.begin()); } if (bef.size() == 0) return; ans[-(*bef.begin()).second] = i; bef.erase(bef.begin()); } add(ans); } void gridi4() { for (int i = 1; i <= n; i++) lt[i] = n + 1 - lt[i], rt[i] = n + 1 - rt[i], swap(lt[i], rt[i]); vector<int> ans(n); set<pair<pair<int, int>, int> > st; set<pair<int, int> > bef; for (int i = 1; i <= n; i++) st.insert({{lt[i], rt[i]}, -i + 1}); for (int i = 1; i <= n; i++) { while ((st.size() > 0) and ((*st.begin()).first.first <= i)) { bef.insert({(*st.begin()).first.second, (*st.begin()).second}); st.erase(st.begin()); } if (bef.size() == 0) { for (int i = 1; i <= n; i++) lt[i] = n + 1 - lt[i], rt[i] = n + 1 - rt[i], swap(lt[i], rt[i]); return; } ans[-(*bef.begin()).second] = i; bef.erase(bef.begin()); } for (int i = 1; i <= n; i++) lt[i] = n + 1 - lt[i], rt[i] = n + 1 - rt[i], swap(lt[i], rt[i]); for (int& i : ans) i = n + 1 - i; add(ans); } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); srand(time(0)); cin >> N; for (int i = 1; i <= N; i++) cin >> lt[i] >> rt[i]; n = m = N; gridi(); gridi2(); gridi3(); gridi4(); while (clock() * 1.0 / CLOCKS_PER_SEC < 0.5) try_(); cout << "YES\n"; if (answers.empty()) cout << 1 / 0; for (int i : (*answers.begin())) cout << i << " "; cout << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 200009; const long long MOD = 119 << 23 | 1; class { public: vector<pair<int, int> > V[maxn]; int a[maxn], b[maxn]; int ans[maxn]; int n; void solve() { cin >> n; for (int i = 1; i <= n; ++i) { cin >> a[i] >> b[i]; V[a[i]].emplace_back(b[i], i); } priority_queue<pair<int, int> > que; for (int i = 1; i <= n; ++i) { for (auto j : V[i]) { que.emplace(-j.first, j.second); } ans[i] = que.top().second; que.pop(); } build(1, 1, n); for (int i = 1; i <= n; ++i) { if (a[ans[i]] == i) continue; int res = query(1, 1, n, a[ans[i]], i - 1); if (res >= i) { cout << "NO\n"; out(); for (int j = a[ans[i]]; j <= i - 1; ++j) { if (b[ans[j]] >= i) { swap(ans[j], ans[i]); break; } } out(); return; } } cout << "YES\n"; out(); } int c[maxn]; void out() { for (int i = 1; i <= n; ++i) { c[ans[i]] = i; } for (int i = 1; i <= n; ++i) cout << c[i] << " "; cout << '\n'; } int Max[maxn << 2]; void build(int rt, int l, int r) { if (l == r) { Max[rt] = b[ans[l]]; return; } int mid = l + r >> 1; build(rt << 1, l, mid); build(rt << 1 | 1, mid + 1, r); Max[rt] = max(Max[rt << 1], Max[rt << 1 | 1]); } int query(int rt, int l, int r, int ll, int rr) { if (ll <= l && rr >= r) return Max[rt]; int mid = l + r >> 1; int res = 0; if (ll <= mid) res = max(res, query(rt << 1, l, mid, ll, rr)); if (rr > mid) res = max(res, query(rt << 1 | 1, mid + 1, r, ll, rr)); return res; } } NSPACE; int main() { ; ios_base::sync_with_stdio(false); cout.tie(0); cin.tie(0); NSPACE.solve(); }
#include <bits/stdc++.h> using namespace std; int pos[(int)(1e6 + 10)], L[(int)(1e6 + 10)], R[(int)(1e6 + 10)], ans[(int)(1e6 + 10)]; struct nod { int l, r, id; } a[(int)(1e6 + 10)]; struct tnod { int val, id; } c[(int)(1e6 + 10)]; int cmp(nod x, nod y) { if (x.l == y.l) { if (x.r == y.r) return x.id < y.id; return x.r < y.r; } return x.l < y.l; } set<pair<int, int> > st; void build(int rt, int l, int r) { if (l == r) { c[rt].val = L[pos[l]]; c[rt].id = l; return; } int mid = (l + r) >> 1; build(rt << 1, l, mid); build(rt << 1 | 1, mid + 1, r); tnod ls = c[rt << 1], rs = c[rt << 1 | 1]; tnod minn = ls.val < rs.val ? ls : rs; c[rt] = minn; } pair<int, int> query(int rt, int l, int r, int ql, int qr) { if (qr < l || ql > r) return make_pair(0x7f7f7f7f, -2); if (qr >= r && ql <= l) return make_pair(c[rt].val, c[rt].id); int mid = (l + r) >> 1; pair<int, int> ls = query(rt << 1, l, mid, ql, qr); pair<int, int> rs = query(rt << 1 | 1, mid + 1, r, ql, qr); return ls.first < rs.first ? ls : rs; } int main() { int n; scanf("%d", &n); for (int i = 1; i <= n; i++) { scanf("%d%d", &a[i].l, &a[i].r); a[i].id = i, L[i] = a[i].l, R[i] = a[i].r; } sort(a + 1, a + 1 + n, cmp); int p = 1; for (int i = 1; i <= n; i++) { while (p <= n && a[p].l <= i) { st.insert(make_pair(a[p].r, a[p].id)); p++; } pos[i] = st.begin()->second; st.erase(st.begin()); } for (int i = 1; i <= n; i++) ans[pos[i]] = i; build(1, 1, n); int flag = 0, u, v; for (int i = 1; i <= n; i++) { if (i + 1 > R[pos[i]]) continue; pair<int, int> temp = query(1, 1, n, i + 1, R[pos[i]]); if (temp.first <= i) { flag = 1; u = pos[temp.second], v = pos[i]; break; } } if (!flag) { printf("YES\n"); for (int i = 1; i <= n; i++) printf("%d ", ans[i]); } else { printf("NO\n"); for (int i = 1; i <= n; i++) printf("%d ", ans[i]); printf("\n"); swap(ans[u], ans[v]); for (int i = 1; i <= n; i++) printf("%d ", ans[i]); } return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 200005; struct AAAA { int n, cnt[MAXN]; struct seg { struct node { int sum, maxv, maxfrm; } tree[530000]; int lim; void init(int n) { for (lim = 1; lim <= n; lim <<= 1) ; } node merge(node a, node b) { node ret; ret.sum = a.sum + b.sum; if (a.maxv >= a.sum + b.maxv) { ret.maxv = a.maxv; ret.maxfrm = a.maxfrm; } else { ret.maxv = a.sum + b.maxv; ret.maxfrm = b.maxfrm; } return ret; } void set(int x, int v) { x += lim; tree[x] = {v, max(v, 0), x - lim}; while (x > 1) { x >>= 1; tree[x] = merge(tree[2 * x], tree[2 * x + 1]); } } node query() { return tree[1]; } } seg; struct intv { int s, e, v; bool operator<(const intv &i) const { return pair<int, int>(e, v) < pair<int, int>(i.e, i.v); } } a[MAXN]; struct rmq { pair<int, int> tree[530000]; int lim; void init(int n) { for (lim = 1; lim <= n; lim <<= 1) ; fill(tree, tree + 530000, pair<int, int>(1e9, 1e9)); } void add(int x, pair<int, int> v) { x += lim; tree[x] = v; while (x > 1) { x >>= 1; tree[x] = min(tree[2 * x], tree[2 * x + 1]); } } pair<int, int> query(int s, int e) { s += lim; e += lim; pair<int, int> ret(1e9, 1e9); while (s < e) { if (s % 2 == 1) ret = min(ret, tree[s++]); if (e % 2 == 0) ret = min(ret, tree[e--]); s >>= 1; e >>= 1; } if (s == e) ret = min(ret, tree[s]); return ret; } } rmq; vector<intv> st[MAXN]; pair<int, int> orv[MAXN]; vector<int> orz(vector<int> v) { n = v.size() / 2; for (int i = 1; i <= n; i++) { a[i].s = v[2 * i - 2]; a[i].e = v[2 * i - 1]; orv[i] = pair<int, int>(a[i].s, a[i].e); a[i].v = i; } sort(a + 1, a + n + 1); for (int i = 1; i <= n; i++) { st[a[i].s].push_back(a[i]); cnt[i]--; cnt[a[i].e]++; } seg.init(n); rmq.init(n); for (int i = 1; i <= n; i++) seg.set(i, cnt[i]); vector<int> ans; for (int i = 1; i <= n; i++) { int lst = i; cnt[i]++; seg.set(i, cnt[i]); if (seg.query().maxv > 0) lst = seg.query().maxfrm; else lst = n; for (auto &j : st[i]) { auto it = lower_bound(a + 1, a + n + 1, j) - a; rmq.add(it, pair<int, int>(j.v, it)); } int l = lower_bound(a + 1, a + n + 1, (intv){-1, lst, 2222222}) - a; auto k = rmq.query(1, l - 1); int ev = orv[k.first].second; rmq.add(k.second, pair<int, int>(1e9, 1e9)); cnt[ev]--; seg.set(ev, cnt[ev]); ans.push_back(k.first); } return ans; } } F, G; int n; pair<int, int> a[MAXN]; int f[MAXN]; vector<int> rev(vector<int> v) { for (int i = 0; i < v.size(); i++) f[v[i]] = i + 1; return vector<int>(f + 1, f + n + 1); } int main() { scanf("%d", &n); for (int i = 1; i <= n; i++) scanf("%d %d", &a[i].first, &a[i].second); vector<int> sexF, sexG; for (int i = 1; i <= n; i++) { sexF.push_back(a[i].first); sexF.push_back(a[i].second); sexG.push_back(a[n + 1 - i].first); sexG.push_back(a[n + 1 - i].second); } auto X = F.orz(sexF); auto Y = G.orz(sexG); for (auto &i : Y) i = n + 1 - i; X = rev(X); Y = rev(Y); if (X == Y) { puts("YES"); for (auto &i : X) printf("%d ", i); } else { puts("NO"); for (auto &i : X) printf("%d ", i); puts(""); for (auto &i : Y) printf("%d ", i); } }
#include <bits/stdc++.h> using namespace std; const int inf = 0x3f3f3f3f; int N, a[200010], b[200010], ans[200010], pos[200010]; vector<pair<int, int> > d[200010]; int base; pair<int, int> tree[1 << 19]; void init() { for (base = 1; base < N; base <<= 1) ; for (int i = 0; i < (1 << 19); i++) tree[i] = {inf, inf}; for (int i = 1; i <= N; i++) tree[base + i - 1] = {a[pos[i]], pos[i]}; for (int i = base - 1; i; i--) tree[i] = min(tree[i << 1], tree[i << 1 | 1]); } pair<int, int> query(int l, int r) { l += base - 1; r += base - 1; pair<int, int> ret = {inf, inf}; while (l <= r) { if (l & 1) ret = min(ret, tree[l]); if (~r & 1) ret = min(ret, tree[r]); l = (l + 1) >> 1; r = (r - 1) >> 1; } return ret; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cin >> N; for (int i = 1; i <= N; i++) { cin >> a[i] >> b[i]; d[a[i]].push_back({b[i], i}); } set<pair<int, int> > curr; for (int i = 1; i <= N; i++) { for (auto j : d[i]) curr.insert(j); pair<int, int> x = *curr.begin(); curr.erase(curr.begin()); ans[x.second] = i; pos[i] = x.second; } init(); for (int i = 1; i <= N; i++) { pair<int, int> x = query(i + 1, b[pos[i]]); if (x.first <= i) { cout << "NO" << '\n'; for (int i = 1; i <= N; i++) cout << ans[i] << ' '; cout << '\n'; swap(ans[pos[i]], ans[x.second]); for (int i = 1; i <= N; i++) cout << ans[i] << ' '; cout << '\n'; return 0; } } cout << "YES" << '\n'; for (int i = 1; i <= N; i++) cout << ans[i] << ' '; cout << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; int n; int it[800005]; int a[200005], b[200005]; int at[200005]; int pos[200005]; vector<pair<pair<int, int>, int> > ax; void update(int id, int l, int r, int pos, int val) { if (l == r) { it[id] = val; return; } int mid = (l + r) / 2; if (pos > mid) { update(id * 2 + 1, mid + 1, r, pos, val); } else { update(id * 2, l, mid, pos, val); } it[id] = min(it[id * 2], it[id * 2 + 1]); } int get(int id, int l, int r, int u, int v) { if (l > v || r < u) { return 1000000000; } if (u <= l && v >= r) { return it[id]; } int mid = (l + r) / 2; return min(get(id * 2, l, mid, u, v), get(id * 2 + 1, mid + 1, r, u, v)); } void build_tree(int id, int l, int r) { if (l == r) { it[id] = l; return; } int mid = (l + r) / 2; build_tree(id * 2, l, mid); build_tree(id * 2 + 1, mid + 1, r); it[id] = min(it[id * 2], it[id * 2 + 1]); } signed main() { cin >> n; build_tree(1, 1, n); for (int i = 1; i <= n; i++) { cin >> a[i] >> b[i]; ax.push_back({{b[i], a[i]}, i}); } sort(ax.begin(), ax.end()); for (auto i : ax) { int ok = get(1, 1, n, i.first.second, i.first.first); at[ok] = i.second; pos[i.second] = ok; update(1, 1, n, ok, 100000000); } memset(it, 0, sizeof(it)); for (int i = 1; i <= n; i++) { update(1, 1, n, i, -b[at[i]]); } for (int i = 1; i <= n; i++) { if (a[at[i]] == i) continue; int ok = get(1, 1, n, a[at[i]], i - 1); if (abs(ok) >= i) { for (int j = a[at[i]]; j < i; j++) { if (b[at[j]] >= i) { cout << "NO\n"; for (int k = 1; k <= n; k++) { cout << pos[k] << " "; } cout << endl; swap(pos[at[i]], pos[at[j]]); for (int k = 1; k <= n; k++) { cout << pos[k] << " "; } return 0; } } } } cout << "YES\n"; for (int i = 1; i <= n; i++) { cout << pos[i] << " "; } }
#include <bits/stdc++.h> using namespace std; bool inotr(long long l, long long x, long long r) { return (x >= l) && (x < r); } int32_t main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); long long n; cin >> n; pair<long long, long long> a[n]; vector<pair<long long, long long> > b[n]; for (long long i = 0; i < n; ++i) { cin >> a[i].first >> a[i].second; a[i].first--; b[a[i].first].push_back({a[i].second, i}); } long long ans[n]; long long u[n]; set<pair<long long, pair<long long, long long> > > v; for (long long i = 0; i < n; ++i) { for (long long j = 0; j < b[i].size(); ++j) { pair<long long, long long> curr = b[i][j]; v.insert({curr.first, {i, curr.second}}); } pair<long long, pair<long long, long long> > h = (*v.begin()); v.erase(h); ans[i] = h.second.second; } for (long long i = 0; i < n; ++i) { u[ans[i]] = i; } for (long long i = 0; i < (n - 1); ++i) { if (inotr(a[ans[i]].first, i + 1, a[ans[i]].second) && inotr(a[ans[i + 1]].first, i, a[ans[i + 1]].second)) { cout << "NO" << endl; for (long long i = 0; i < n; ++i) { cout << u[i] + 1 << " "; } cout << endl; swap(ans[i], ans[i + 1]); for (long long i = 0; i < n; ++i) { u[ans[i]] = i; } for (long long i = 0; i < n; ++i) { cout << u[i] + 1 << " "; } return 0; } } for (long long i = 0; i < n; ++i) { sort(b[i].begin(), b[i].end()); if (b[i].size() >= 2) { long long x = u[b[i][1].second]; if (x < b[i][0].first) { cout << "NO" << endl; for (long long i = 0; i < n; ++i) { cout << u[i] + 1 << " "; } cout << endl; swap(ans[x], ans[b[i][0].second]); for (long long i = 0; i < n; ++i) { u[ans[i]] = i; } for (long long i = 0; i < n; ++i) { cout << u[i] + 1 << " "; } return 0; } } } cout << "YES" << endl; for (long long i = 0; i < n; ++i) { cout << u[i] + 1 << " "; } return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, i, j, k, res[200500], st1[200500][20], st2[200500][20]; int l2(int n) { int r = 0; while (n - 1) { r++; n >>= 1; } return r; } int chk1(int l, int r) { int k = l2(r - l + 1); return max(st1[l][k], st1[r - (1 << k) + 1][k]); } int chk2(int l, int r) { int k = l2(r - l + 1); return min(st2[l][k], st2[r - (1 << k) + 1][k]); } struct sb { int id, l, r; bool operator<(const sb x) const { return r > x.r; } } tmp, s[200500]; vector<sb> v[200500]; priority_queue<sb> q; void ans() { for (int i = 1; i <= n; i++) { printf("%d ", res[i]); } puts(""); } int main() { memset(st2, 0x3f, sizeof(st2)); scanf("%d", &n); for (i = 1; i <= n; i++) { scanf("%d%d", &j, &k); s[i].id = i; s[i].l = j; s[i].r = k; v[j].push_back(s[i]); } for (i = 1; i <= n; i++) { for (auto j : v[i]) { q.push(j); } s[i] = q.top(); q.pop(); res[s[i].id] = i; st1[i][0] = s[i].r; st2[i][0] = s[i].l; } for (j = 1; j <= 18; j++) { for (i = 1; i + (1 << j) - 1 <= n; i++) { st1[i][j] = max(st1[i][j - 1], st1[i + (1 << (j - 1))][j - 1]); st2[i][j] = min(st2[i][j - 1], st2[i + (1 << (j - 1))][j - 1]); } } for (i = 1; i <= n; i++) { if (s[i].l < i && chk1(s[i].l, i - 1) >= i) { puts("NO"); ans(); for (j = i - 1;; j--) { if (s[j].r >= i) { swap(res[s[i].id], res[s[j].id]); break; } } ans(); return 0; } if (s[i].r > i && chk2(i + 1, s[i].r) <= i) { puts("NO"); ans(); for (j = i + 1;; j++) { if (s[j].l <= i) { swap(res[s[i].id], res[s[j].id]); break; } } ans(); return 0; } } puts("YES"); ans(); }
#include <bits/stdc++.h> using namespace std; mt19937 __MT(chrono::system_clock::now().time_since_epoch().count()); const int maxn = 200000 + 10; pair<int, int> itvl[maxn]; int n; int id[maxn]; int ans[maxn]; int inv[maxn]; struct segtree { int maxv[maxn << 2]; int maxid[maxn << 2]; int n, ql, qr, idx, rm; void init(int n) { this->n = n; build(1, n, 1); } void maintain(int l, int r, int o) { if (l != r) { maxv[o] = max(maxv[o << 1], maxv[o << 1 | 1]); if (maxv[o << 1] == maxv[o]) maxid[o] = maxid[o << 1]; if (maxv[o << 1 | 1] == maxv[o]) maxid[o] = maxid[o << 1 | 1]; } } void build(int l, int r, int o) { if (l == r) { maxv[o] = itvl[inv[l]].second; maxid[o] = l; return; } int mid = l + r >> 1; build(l, mid, o << 1), build(mid + 1, r, o << 1 | 1); maintain(l, r, o); } void update(int o) { if (rm < maxv[o]) { rm = maxv[o]; idx = maxid[o]; } } void query(int l, int r, int o) { if (ql <= l && qr >= r) update(o); else { int mid = l + r >> 1; if (ql <= mid) query(l, mid, o << 1); if (qr > mid) query(mid + 1, r, o << 1 | 1); } } pair<int, int> Query(int l, int r) { rm = -1; idx = -1; ql = l, qr = r; query(1, n, 1); return (pair<int, int>){rm, idx}; } }; segtree tree; inline void solve() { priority_queue<pair<int, int>, vector<pair<int, int> >, greater<pair<int, int> > > q; int p = 1; for (auto i = (1); i <= (n); ++i) { if (p <= n && itvl[id[p]].first == i) q.push({itvl[id[p]].second, id[p]}), ++p; while (p <= n && itvl[id[p]].first == itvl[id[p - 1]].first) { q.push({itvl[id[p]].second, id[p]}); ++p; } auto e = q.top(); q.pop(); ans[e.second] = i; } for (auto i = (1); i <= (n); ++i) inv[ans[i]] = i; tree.init(n); pair<int, int> swp; int amb = 0; swp.first = swp.second = -1; for (auto i = (2); i <= (n); ++i) { int j = inv[i]; assert(itvl[j].first <= i); auto e = tree.Query(itvl[j].first, i - 1); if (e.first >= i) { swp.first = i; swp.second = e.second; amb = 1; break; } } if (!amb) { puts("YES"); } else { puts("NO"); } for (auto i = (1); i <= (n); ++i) printf("%d ", ans[i]); puts(""); if (amb) { swap(ans[inv[swp.first]], ans[inv[swp.second]]); for (auto i = (1); i <= (n); ++i) printf("%d ", ans[i]); puts(""); } } int main(void) { scanf("%d", &(n)); for (auto i = (1); i <= (n); ++i) scanf("%d%d", &itvl[i].first, &itvl[i].second), id[i] = i; sort(id + 1, id + 1 + n, [](const int& a, const int& b) { return itvl[a] < itvl[b]; }); solve(); return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 2e5; const int TSIZE = 1 << 19; int T[TSIZE]; int tget(int x, int l, int r, int L, int R) { int m = min(r, R); int M = max(l, L); if (M <= m) { if (M == L && m == R) { return T[x]; } int mid = (L + R + 1) / 2; return max(tget(2 * x + 1, l, r, L, mid - 1), tget(2 * x + 2, l, r, mid, R)); } return 0; } int tget(int l, int r) { return tget(0, l, r, 0, TSIZE / 2 - 1); } void tset(int x, int v, int p, int L, int R) { if (L == R) { T[x] = v; return; } int mid = (L + R + 1) / 2; if (p < mid) tset(2 * x + 1, v, p, L, mid - 1); else tset(2 * x + 2, v, p, mid, R); T[x] = max(T[2 * x + 1], T[2 * x + 2]); } void tset(int p, int v) { tset(0, v, p, 0, TSIZE / 2 - 1); } int A[MAXN][2]; int B[MAXN]; int BI[MAXN]; int idx[MAXN]; struct ev { int x, t; bool operator<(const ev &p) const { if (x != p.x) return x < p.x; return t < p.t; } }; ev E[MAXN * 2]; bool cmp(int a, int b) { if (A[a][1] != A[b][1]) return A[a][1] < A[b][1]; return A[a][0] < A[b][0]; } void solve() { int n; scanf("%d", &n); for (int i = 0; i < n; ++i) scanf("%d%d", &A[i][0], &A[i][1]); for (int i = 0; i < n; ++i) idx[i] = i; sort(idx, idx + n, cmp); set<int> have; for (int i = 1; i <= n; ++i) have.insert(i); int vi = -1, vj = -1; for (int i = 0; i < n; ++i) { int x = idx[i]; set<int>::iterator f = have.lower_bound(A[x][0]); int v = *f; have.erase(f); B[x] = v; if (vi == -1) { int m = tget(A[x][0], v); if (m >= v) { vi = v; for (int i = A[x][0]; i <= v; ++i) { if (tget(i, i) >= v) { vj = i; break; } } } } tset(v, A[x][1]); } for (int i = 0; i < n; ++i) { BI[B[i] - 1] = i; } for (int i = 0; i < n; ++i) { E[2 * i].t = (i + 1); E[2 * i].x = A[i][0]; E[2 * i + 1].t = -(i + 1); E[2 * i + 1].x = A[i][1] + 1; } sort(E, E + 2 * n); printf((vi == -1 ? "YES\n" : "NO\n")); for (int i = 0; i < n; ++i) printf("%d ", B[i]); printf("\n"); if (vi != -1) { int i = BI[vi - 1]; int j = BI[vj - 1]; swap(B[i], B[j]); for (int i = 0; i < n; ++i) printf("%d ", B[i]); printf("\n"); } } int main() { solve(); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 4e5 + 5; int n, m, k; int a[maxn], p[maxn], x[maxn], y[maxn]; int tmp, cnt; int flag; int ans[maxn]; vector<pair<int, int> > vc[maxn]; struct node { int id, val; } c[maxn << 1]; template <typename T> inline void read(T &X) { X = 0; int w = 0; char ch = 0; while (!isdigit(ch)) { w |= ch == '-'; ch = getchar(); } while (isdigit(ch)) X = (X << 3) + (X << 1) + (ch ^ 48), ch = getchar(); if (w) X = -X; } void build(int rt, int l, int r) { if (l == r) { c[rt].id = p[l]; c[rt].val = x[p[l]]; return; } int mid = (l + r) >> 1; build(rt << 1, l, mid); build(rt << 1 | 1, mid + 1, r); if (c[rt << 1].val < c[rt << 1 | 1].val) c[rt] = c[rt << 1]; else c[rt] = c[rt << 1 | 1]; } pair<int, int> query(int rt, int l, int r, int ql, int qr) { if (ql <= l && r <= qr) { return make_pair(c[rt].val, c[rt].id); } int mid = (l + r) >> 1; pair<int, int> tmp1, tmp2; tmp1.first = -1; tmp2.first = -1; if (ql <= mid) tmp1 = query(rt << 1, l, mid, ql, qr); if (qr > mid) tmp2 = query(rt << 1 | 1, mid + 1, r, ql, qr); if (tmp1.first == -1) return tmp2; if (tmp2.first == -1) return tmp1; if (tmp1.first > tmp2.first) return tmp2; return tmp1; } void prt() { for (register int i = (1); i <= (n); i++) printf("%d%c", ans[i], i == n ? '\n' : ' '); } int main() { read(n); for (register int i = (1); i <= (n); i++) { int l, r; read(l); read(r); x[i] = l; y[i] = r; vc[l].push_back(make_pair(r, i)); } set<pair<int, int> > st; for (register int i = (1); i <= (n); i++) { st.insert(vc[i].begin(), vc[i].end()); int y = (*st.begin()).second; st.erase(st.begin()); ans[y] = i; p[i] = y; } build(1, 1, n); for (register int i = (1); i <= (n); i++) { if (i + 1 > y[p[i]]) continue; pair<int, int> k = query(1, 1, n, i + 1, y[p[i]]); if (k.first <= i) { puts("NO"); prt(); swap(ans[p[i]], ans[k.second]); prt(); return 0; } } puts("YES"); prt(); return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; template <class T> struct sparse { int n, h; vector<vector<T>> table; function<T(T, T)> func; sparse(vector<T> a, function<T(T, T)> f) { n = a.size(); func = f; h = 32 - __builtin_clz(n); table.resize(h); table[0] = a; for (int j = 1; j < h; j++) { table[j].resize(n - (1 << j) + 1); for (int i = 0; i <= n - (1 << j); i++) { table[j][i] = func(table[j - 1][i], table[j - 1][i + (1 << (j - 1))]); } } } T get(int from, int to) const { int k = 32 - __builtin_clz(to - from + 1) - 1; return func(table[k][from], table[k][to - (1 << k) + 1]); } }; int main() { ios::sync_with_stdio(false); cin.tie(0); int n; cin >> n; vector<int> a(n), b(n); vector<vector<int>> p(n); for (int i = 0; i < n; i++) { cin >> a[i] >> b[i]; a[i]--, b[i]--; p[a[i]].emplace_back(i); } priority_queue<pair<int, int>, vector<pair<int, int>>, greater<pair<int, int>>> pq; vector<int> ans(n); vector<int> c(n), l(n), r(n); for (int i = 0; i < n; i++) { for (int j : p[i]) { pq.emplace(b[j], j); } pair<int, int> t = pq.top(); pq.pop(); ans[t.second] = i; c[i] = t.second; l[i] = a[t.second]; r[i] = b[t.second]; } sparse<int> s(l, [&](int a, int b) { return min(a, b); }); sparse<int> t(r, [&](int a, int b) { return max(a, b); }); ; for (int i = 0; i < n; i++) { pair<int, int> sw = {-1, i}; if (i + 1 <= r[i] && s.get(i + 1, r[i]) <= i) { for (int j = i + 1; j <= r[i]; j++) { if (l[j] <= i) { sw.first = j; break; } } } if (i <= i - 1 && t.get(l[i], i - 1) >= i) { for (int j = i - 1; j >= l[i]; j--) { if (r[j] >= i) { sw.first = j; break; } } } if (sw.first != -1) { ; cout << "NO" << '\n'; for (int j : ans) { cout << j + 1 << " "; } cout << '\n'; swap(ans[c[sw.first]], ans[c[sw.second]]); for (int j : ans) { cout << j + 1 << " "; } cout << '\n'; return 0; } } cout << "YES" << '\n'; for (int i : ans) { cout << i + 1 << " "; } cout << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; int unx() { int x = 0, n = 0; char c = getchar(); for (; !isdigit(c); c = getchar()) n = (c == '-'); for (; isdigit(c); c = getchar()) x = x * 10 + c - '0'; return (n) ? -x : x; } mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); int rnd(int l, int r) { return l + rng() % (r - l + 1); } const int N = 2e5 + 5; int n; pair<int, int> a[N]; int s[N], pos[N], id[N]; priority_queue<pair<int, int>, vector<pair<int, int>>, greater<pair<int, int>>> h; vector<pair<int, int>> event[N]; int main() { ios_base::sync_with_stdio(false), cin.tie(0), cout.tie(0); for (int i = 1, _c = n = unx(); i <= _c; ++i) { a[i] = {unx(), unx()}; } for (int i = 1, _c = n; i <= _c; ++i) event[a[i].first].push_back(make_pair(a[i].second, i)); for (int i = 1, _c = n; i <= _c; ++i) { for (auto &v : event[i]) h.push(v); int ri, index; tie(ri, index) = h.top(); h.pop(); id[index] = i; pos[i] = index; if (h.size()) s[index] = h.top().second; } for (int i = 1, _c = n; i <= _c; ++i) { int cur = i, nxt = s[i]; if (nxt && a[cur].first <= id[nxt] && id[nxt] <= a[cur].second && a[nxt].first <= id[cur] && id[cur] <= a[nxt].second) { cout << "NO\n"; for (int i = 1, _c = n; i <= _c; ++i) cout << id[i] << ' '; cout << '\n'; swap(id[cur], id[nxt]); for (int i = 1, _c = n; i <= _c; ++i) cout << id[i] << ' '; return 0; } } cout << "YES\n"; for (int i = 1, _c = n; i <= _c; ++i) cout << id[i] << ' '; }
#include <bits/stdc++.h> using namespace std; const int N = 2e5 + 3; const int mod = 1e9 + 7; const int inf = 1e9 + 7; pair<int, int> t[N * 4]; void upd(int v, int l, int r, int pos, int val) { if (l == r) { t[v] = make_pair(val, l); return; } int mid = (l + r) / 2; if (pos <= mid) upd(v * 2, l, mid, pos, val); else upd(v * 2 + 1, mid + 1, r, pos, val); t[v] = max(t[v * 2], t[v * 2 + 1]); } pair<int, int> get(int v, int l, int r, int L, int R) { if (l > r || L > r || l > R) return make_pair(0, 0); if (L <= l && r <= R) return t[v]; int mid = (l + r) / 2; return max(get(v * 2, l, mid, L, R), get(v * 2 + 1, mid + 1, r, L, R)); } int main() { ios_base::sync_with_stdio(0); cin.tie(0); int n; cin >> n; pair<pair<int, int>, int> p[n + 4]; for (int i = 1; i <= n; ++i) { int l, r; cin >> l >> r; p[i].first.first = r, p[i].first.second = l; p[i].second = i; } sort(p + 1, p + 1 + n); set<int> s; for (int i = 1; i <= n; ++i) s.insert(i); int a[n + 4], pos[n + 4]; vector<pair<int, int> > L[n + 4]; for (int i = 1; i <= n; ++i) { int id = p[i].second; int l = p[i].first.second, r = p[i].first.first; a[id] = *s.lower_bound(l); s.erase(a[id]); L[l].push_back(make_pair(a[id], r)); pos[a[id]] = i; } int x = -1, y = -1; int last = 0; for (int i = 1; i <= n; ++i) { int id = p[pos[i]].second; int l = p[pos[i]].first.second, r = p[pos[i]].first.first; for (auto it : L[i]) upd(1, 1, n, it.first, it.second); pair<int, int> rr = get(1, 1, n, l, r); if (a[id] <= rr.first && rr.second != a[id]) { x = a[id], y = rr.second; } } if (x != -1 && y != -1) { cout << "NO\n"; for (int i = 1; i <= n; ++i) cout << a[i] << ' '; cout << "\n"; for (int i = 1; i <= n; ++i) { if (a[i] == x) cout << y << ' '; else if (a[i] == y) cout << x << ' '; else cout << a[i] << ' '; } } else { cout << "YES\n"; for (int i = 1; i <= n; ++i) cout << a[i] << ' '; } return 0; }
#include <bits/stdc++.h> const int N = 2e5 + 10; const int INF = 0x3f3f3f3f; int n; int st[N], en[N]; std::vector<std::pair<int, int> > v[N]; int ans[N], re_ans[N]; std::pair<int, int> minn[N << 1]; void Build() { for (int i = 1; i <= n; ++i) minn[i + n - 1] = std::make_pair(st[re_ans[i]], i); for (int i = n - 1; i >= 1; --i) minn[i] = std::min(minn[i << 1], minn[i << 1 | 1]); } int Find(int l, int r) { l += n, r += n; std::pair<int, int> res(INF, INF); for (; l < r; l >>= 1, r >>= 1) { if (l & 1) res = std::min(res, minn[l++]); if (r & 1) res = std::min(res, minn[--r]); } return res.second == INF ? -1 : res.second; } int main() { scanf("%d", &n); for (int i = 1; i <= n; ++i) scanf("%d%d", &st[i], &en[i]); for (int i = 1; i <= n; ++i) v[st[i]].push_back(std::make_pair(en[i], i)); std::set<std::pair<int, int> > s; for (int i = 1; i <= n; ++i) { s.insert(v[i].begin(), v[i].end()); ans[s.begin()->second] = i; re_ans[i] = s.begin()->second; s.erase(s.begin()); } Build(); for (int i = 1; i <= n; ++i) { int p = Find(i, en[re_ans[i]]); if (p == -1) continue; if (st[re_ans[p]] <= i) { printf("NO\n"); for (int i = 1; i <= n; ++i) printf("%d ", ans[i]); printf("\n"); std::swap(ans[re_ans[i]], ans[re_ans[p]]); for (int i = 1; i <= n; ++i) printf("%d ", ans[i]); printf("\n"); return 0; } } printf("YES\n"); for (int i = 1; i <= n; ++i) printf("%d ", ans[i]); printf("\n"); return 0; }
#include <bits/stdc++.h> int n, l[200005], r[200005], rk[200005], rk1[200005], p[200005]; struct cmp { bool operator()(int a, int b) { return r[a] > r[b]; } }; int cmp1(int a, int b) { return l[a] < l[b]; } int cmp2(int a, int b) { return p[a] < p[b]; } std::priority_queue<int, std::vector<int>, cmp> q; std::vector<int> G[200005]; struct segmentTree { int min[200005 << 2]; int gmin(int a, int b) { if (r[a] > r[b]) return a; return b; } void modify(int l, int r, int p, int v, int rt) { if (l == r) { min[rt] = gmin(v, min[rt]); return; } int mid = (l + r) >> 1; if (p <= mid) modify(l, mid, p, v, rt << 1); else modify(mid + 1, r, p, v, rt << 1 | 1); min[rt] = gmin(min[rt << 1], min[rt << 1 | 1]); } int query(int l, int r, int L, int R, int rt) { if (l > R || r < L) return 0; if (l <= L && R <= r) return min[rt]; return gmin(query(l, r, L, (L + R) >> 1, rt << 1), query(l, r, ((L + R) >> 1) + 1, R, rt << 1 | 1)); } } sgt; int main() { scanf("%d", &n); for (int i = 1; i <= n; ++i) { scanf("%d%d", &l[i], &r[i]); rk[i] = i; rk1[i] = i; G[l[i]].push_back(i); } for (int i = 1; i <= n; ++i) { for (int v : G[i]) q.push(v); int u = q.top(); q.pop(); p[u] = i; } std::sort(rk1 + 1, rk1 + n + 1, cmp1); std::sort(rk + 1, rk + n + 1, cmp2); int p1 = 0; for (int i = 1; i <= n; ++i) { while (p1 < n && l[rk1[p1 + 1]] <= p[rk[i]]) { p1++; sgt.modify(1, n, p[rk1[p1]], rk1[p1], 1); } int d = sgt.gmin(sgt.query(l[rk[i]], p[rk[i]] - 1, 1, n, 1), sgt.query(p[rk[i]] + 1, r[rk[i]], 1, n, 1)); if (r[d] < r[rk[i]]) continue; printf("NO\n"); for (int i = 1; i <= n; ++i) printf("%d ", p[i]); puts(""); std::swap(p[rk[i]], p[d]); for (int i = 1; i <= n; ++i) printf("%d ", p[i]); return 0; } printf("YES\n"); for (int i = 1; i <= n; ++i) printf("%d ", p[i]); return 0; }
#include <bits/stdc++.h> using namespace std; void print_ans(const vector<int>& p) { vector<int> ans(p.size()); for (int i = 0; i < (int)p.size(); ++i) ans[p[i]] = i; for (int i = 0; i < (int)ans.size(); ++i) printf("%d%c", ans[i] + 1, i + 1 == (int)ans.size() ? '\n' : ' '); } int main() { int n; scanf("%d", &n); vector<int> a(n), b(n); vector<pair<int, int>> events; for (int i = 0; i < n; ++i) { scanf("%d %d", &a[i], &b[i]); --a[i], --b[i]; events.emplace_back(a[i], i); } sort(events.begin(), events.end()); vector<int> p; priority_queue<pair<int, int>> pq; for (int i = 0, e = 0; i < n; ++i) { while (e < (int)events.size() && events[e].first <= i) { int v = events[e].second; pq.emplace(-b[v], v); ++e; } int v = pq.top().second; pq.pop(); p.emplace_back(v); } int lef = -1, rig = -1; stack<int> vrig; for (int i = n - 1; i >= 0; --i) { int v = p[i]; while (!vrig.empty() && a[p[vrig.top()]] > i) vrig.pop(); if (!vrig.empty() && vrig.top() <= b[v]) { lef = i, rig = vrig.top(); break; } while (!vrig.empty() && a[p[vrig.top()]] >= a[v]) vrig.pop(); vrig.push(i); } if (lef == -1) { puts("YES"); } else { puts("NO"); print_ans(p); swap(p[lef], p[rig]); } print_ans(p); return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n; scanf("%d", &n); vector<int> l(n), r(n); vector<pair<int, int>> st[n]; for (int i = 0; i < n; i++) { scanf("%d%d", &l[i], &r[i]), l[i]--, r[i]--; st[l[i]].push_back({r[i], i}); } set<pair<int, int>> sii; pair<int, int> prs = {-1, -1}; vector<int> ans(n), dq; for (int i = 0; i < n; i++) { for (auto& p : st[i]) sii.insert(p); int x = sii.begin()->second; sii.erase(sii.begin()); ans[x] = i; while (!dq.empty() && r[dq.back()] < i) dq.pop_back(); if (!dq.empty() && l[x] <= ans[dq.back()]) prs = {dq.back(), x}; dq.push_back(x); } printf(~prs.first ? "NO\n" : "YES\n"); for (int& i : ans) printf("%d ", i + 1); printf("\n"); if (prs.first == -1) return 0; swap(ans[prs.first], ans[prs.second]); for (int& i : ans) printf("%d ", i + 1); printf("\n"); }
#include <bits/stdc++.h> using namespace std; using ll = long long; class SegmentTree { private: vector<pair<int, int>> aint; vector<int> lazy; int mode; public: SegmentTree(int n, int mode_) { aint.resize(1 + 4 * n); lazy.resize(1 + 4 * n); mode = mode_; } void cleannode(int node, int from, int to) { if (from < to) { int mid = (from + to) / 2; lazy[node * 2] += lazy[node]; lazy[node * 2 + 1] += lazy[node]; } aint[node].first += lazy[node]; lazy[node] = 0; } pair<int, int> join(pair<int, int> f1, pair<int, int> f2) { if (mode == 1) return min(f1, f2); else return max(f1, f2); } void computenode(int node, int from, int to) { if (from < to) aint[node] = join(aint[node * 2], aint[node * 2 + 1]); } void build(int node, int from, int to) { if (from < to) { int mid = (from + to) / 2; build(node * 2, from, mid); build(node * 2 + 1, mid + 1, to); computenode(node, from, to); } else aint[node] = {0, from}; } void update(int node, int from, int to, int x, int y, int val) { if (y < x) return; if (from == x && to == y) { lazy[node] += val; cleannode(node, from, to); } else { int mid = (from + to) / 2; cleannode(node * 2, from, mid); cleannode(node * 2 + 1, mid + 1, to); if (x <= mid) update(node * 2, from, mid, x, (((y) < (mid)) ? (y) : (mid)), val); if (mid + 1 <= y) update(node * 2 + 1, mid + 1, to, (((mid + 1) < (x)) ? (x) : (mid + 1)), y, val); computenode(node, from, to); } } pair<int, int> _query(int node, int from, int to, int x, int y) { if (y < x) return {0, 0}; cleannode(node, from, to); if (from == x && to == y) return aint[node]; else { int mid = (from + to) / 2; if (y <= mid) return _query(node * 2, from, mid, x, y); else if (mid + 1 <= x) return _query(node * 2 + 1, mid + 1, to, x, y); else return join(_query(node * 2, from, mid, x, mid), _query(node * 2 + 1, mid + 1, to, mid + 1, y)); } } pair<int, int> query() { return aint[1]; } }; int const nmax = 200000; struct Event { int y; int id; bool operator<(Event const &a) const { if (y != a.y) return y < a.y; else return id < a.id; } }; vector<Event> events[1 + nmax]; int sol1[1 + nmax]; int sol2[1 + nmax]; int main() { ios::sync_with_stdio(0); cin.tie(0); int n; cin >> n; SegmentTree aint(n, 1); for (int i = 1; i <= n; i++) aint.update(1, 1, n, i, i, i); for (int i = 1; i <= n; i++) { int x, y; cin >> x >> y; events[x].push_back({y, i}); aint.update(1, 1, n, y, n, -1); } set<Event> myset; set<Event> myset2; bool valid = 0; for (int i = 1; i <= n; i++) { for (int h = 0; h < events[i].size(); h++) { myset.insert(events[i][h]); myset2.insert(events[i][h]); } sol1[myset.begin()->id] = i; myset.erase(myset.begin()); set<Event>::iterator it = myset2.begin(), target = myset2.begin(); it++; if (it != myset2.end() && 0 < aint._query(1, 1, n, i, it->y - 1).first) { target = it; valid = 1; } else target = myset2.begin(); aint.update(1, 1, n, i, target->y - 1, -1); sol2[target->id] = i; myset2.erase(target); } if (valid == 0) { cout << "YES\n"; for (int i = 1; i <= n; i++) cout << sol1[i] << " "; } else { cout << "NO\n"; for (int i = 1; i <= n; i++) cout << sol1[i] << " "; cout << '\n'; for (int i = 1; i <= n; i++) cout << sol2[i] << " "; cout << '\n'; } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 500010; int l[N]; int r[N]; int p[N]; int q[N]; vector<pair<int, int> > g[N]; int t[N]; void upd(int n, int pos, int x) { for (; pos <= n; pos |= pos + 1) t[pos] += x; } int get(int pos) { int sum = 0; for (; pos > 0; pos &= pos + 1, pos--) sum += t[pos]; return sum; } int32_t main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); int n; cin >> n; vector<pair<int, int> > v; for (int i = 1; i <= n; i++) cin >> l[i] >> r[i], g[l[i]].push_back({r[i], i}); set<pair<int, int> > st; for (int i = 1; i <= n; i++) { for (auto cur : g[i]) { st.insert(cur); } int ind = (*st.begin()).second; p[ind] = i; st.erase(st.begin()); if (!st.empty()) { v.push_back({ind, (*st.begin()).second}); } } for (auto cur : v) { int i = cur.first; int j = cur.second; if (p[j] >= l[i] && p[j] <= r[i] && p[i] >= l[j] && p[i] <= r[j]) { cout << "NO\n"; for (int t = 1; t <= n; t++) cout << p[t] << " "; cout << '\n'; swap(p[i], p[j]); for (int t = 1; t <= n; t++) cout << p[t] << " "; cout << '\n'; return 0; } } cout << "YES\n"; for (int t = 1; t <= n; t++) cout << p[t] << " "; cout << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; pair<int, int> T[4 * 200005]; void update(int n, int b, int e, int p, int v) { if (b == p && e == p) { T[n] = make_pair(v, p); } else { int m = (b + e) / 2; if (p <= m) update(2 * n, b, m, p, v); else update(2 * n + 1, m + 1, e, p, v); T[n] = max(T[2 * n], T[2 * n + 1]); } } pair<int, int> query(int n, int b, int e, int l, int r) { if (b == l && e == r) { return T[n]; } else { int m = (b + e) / 2; if (m >= r) return query(2 * n, b, m, l, r); if (l > m) return (query(2 * n + 1, m + 1, e, l, r)); return max(query(2 * n, b, m, l, m), query(2 * n + 1, m + 1, e, m + 1, r)); } } int main() { ios_base::sync_with_stdio(false); cin.tie(0); int n; cin >> n; vector<pair<pair<int, int>, int> > arr(n); vector<pair<int, int> > ori(n); int a, b; for (int i = 0; i < n; i++) { cin >> a >> b; arr[i] = make_pair(make_pair(a, b), i); ori[i] = make_pair(a, b); } sort(arr.begin(), arr.end()); priority_queue<pair<int, int> > q; vector<int> result1(n); vector<int> result2(n); int index = 0; map<int, int> comp; for (int i = 1; i <= n; i++) { while (index < n && arr[index].first.first == i) { q.push(make_pair(-1 * arr[index].first.second, arr[index].second)); index++; } pair<int, int> current = q.top(); q.pop(); result1[current.second] = i; comp[i] = current.second; } for (int i = 0; i < n; i++) { result2[i] = result1[i]; } bool one = true; for (int i = 1; i <= n; i++) { int l = ori[comp[i]].first; int r = ori[comp[i]].second; pair<int, int> res = query(1, 0, 200005, l, r); if (res.first >= i) { one = false; result2[comp[i]] = result1[comp[res.second]]; result2[comp[res.second]] = result1[comp[i]]; break; } update(1, 0, 200005, i, r); } if (one) { cout << "YES" << '\n'; for (int i = 0; i < n; i++) { cout << result1[i] << " "; } cout << '\n'; } else { cout << "NO" << '\n'; for (int i = 0; i < n; i++) { cout << result1[i] << " "; } cout << '\n'; for (int i = 0; i < n; i++) { cout << result2[i] << " "; } cout << '\n'; } return 0; }
#include <bits/stdc++.h> using namespace std; const long long INF = 1000000000; struct edge { long long to, cost; edge(int a, int b) : to(a), cost(b) {} }; void debug(vector<int>& db) { for (auto x : db) cout << x << " "; cout << endl; } long long mod = 1000000007; long long my_pow(long long a, long long b) { long long re = 1; while (b) { if (b & 1) re = (re * a) % mod; a = (a * a) % mod; b >>= 1; } return re; } struct P { int l, r, idx; P(int tl, int tr, int tidx) : l(tl), r(tr), idx(tidx) {} }; struct cmp { bool operator()(const P& a, const P& b) { return a.l < b.l; } } cmp; struct setcmp { bool operator()(const P& a, const P& b) { return a.r < b.r; } }; int main() { std::ios::sync_with_stdio(false); std::cin.tie(0); int n; cin >> n; vector<P> da; multiset<P, setcmp> sp; for (int i = 0; i < n; i++) { int l, r; cin >> l >> r; da.push_back(P(l, r, i)); } sort(da.begin(), da.end(), cmp); vector<P> vp; vector<int> ans(n); int now = 0; for (int i = 1; i <= n; i++) { while (now < n && da[now].l <= i) { sp.insert(da[now++]); } vp.push_back(*sp.begin()); sp.erase(sp.begin()); } for (int i = 0; i < n; i++) { ans[vp[i].idx] = i + 1; } map<int, pair<int, int>, greater<int>> mp; for (int i = 0; i < n; i++) { while (mp.begin() != mp.end() && mp.begin()->second.second < i + 1) mp.erase(mp.begin()); if (mp.begin() != mp.end() && vp[i].l <= mp.begin()->first) { cout << "NO" << endl; debug(ans); swap(ans[vp[i].idx], ans[mp.begin()->second.first]); debug(ans); return 0; } if (mp.find(i + 1) == mp.end()) mp[i + 1] = {vp[i].idx, vp[i].r}; else if (mp[i + 1].second < vp[i].r) mp[i + 1] = {vp[i].idx, vp[i].r}; } cout << "YES" << endl; debug(ans); }
#include <bits/stdc++.h> #pragma GCC optimize(2) #pragma G++ optimize(2) using namespace std; const int MAX_N = 2e5 + 5; const int inf = 1e9; struct node { int l, r, mn, pos; } tr[MAX_N << 2]; void pushup(int k) { if (tr[k << 1].mn < tr[k << 1 | 1].mn) tr[k].mn = tr[k << 1].mn, tr[k].pos = tr[k << 1].pos; else tr[k].mn = tr[k << 1 | 1].mn, tr[k].pos = tr[k << 1 | 1].pos; } void build(int k, int l, int r) { tr[k].l = l, tr[k].r = r, tr[k].mn = inf, tr[k].pos = -1; if (l == r) { tr[k].pos = l; return; } int mid = (l + r) >> 1; build(k << 1, l, mid), build(k << 1 | 1, mid + 1, r); } void update(int k, int l, int r, int pos, int val) { if (l == r) { tr[k].mn = val; return; } int mid = (l + r) >> 1; if (pos <= mid) update(k << 1, l, mid, pos, val); else update(k << 1 | 1, mid + 1, r, pos, val); pushup(k); } pair<int, int> query(int k, int l, int r, int L, int R) { if (l == L && r == R) return pair<int, int>(tr[k].pos, tr[k].mn); int mid = (l + r) >> 1; if (L > mid) return query(k << 1 | 1, mid + 1, r, L, R); else if (R <= mid) return query(k << 1, l, mid, L, R); else { pair<int, int> t1 = query(k << 1, l, mid, L, mid), t2 = query(k << 1 | 1, mid + 1, r, mid + 1, R); return (t1.second < t2.second) ? t1 : t2; } } struct node2 { int l, r, id, pos; } p[MAX_N]; bool cmp(node2 a, node2 b) { if (a.r != b.r) return a.r < b.r; else return a.l < b.l; } set<int> s; int id_pos[MAX_N], pos_id[MAX_N]; int main() { int n; scanf("%d", &n); for (register int i = 1; i <= n; ++i) scanf("%d", &p[i].l), scanf("%d", &p[i].r), p[i].id = i, s.insert(i); sort(p + 1, p + 1 + n, cmp); build(1, 1, n); for (register int i = 1; i <= n; ++i) { auto it = s.lower_bound(p[i].l); id_pos[p[i].id] = *it, pos_id[*it] = p[i].id, p[i].pos = *it; update(1, 1, n, *it, p[i].l); s.erase(*it); } for (register int i = 1; i <= n; ++i) { int tmp = p[i].pos; if (tmp + 1 > n || tmp + 1 > p[i].r) continue; pair<int, int> tn = query(1, 1, n, tmp + 1, p[i].r); if (tn.second <= tmp) { puts("NO"); for (register int j = 1; j <= n; ++j) printf("%d%c", id_pos[j], j == n ? '\n' : ' '); swap(id_pos[p[i].id], id_pos[pos_id[tn.first]]); for (register int j = 1; j <= n; ++j) printf("%d%c", id_pos[j], j == n ? '\n' : ' '); return 0; } } puts("YES"); for (register int i = 1; i <= n; ++i) printf("%d%c", id_pos[i], i == n ? '\n' : ' '); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 2e5 + 5; int n, pos[maxn]; struct Node { int l, r, id; bool operator<(const Node& b) const { return r < b.r; } } p[maxn]; pair<int, int> pp[maxn], st[maxn << 2]; void build(int rt, int L, int R) { if (L == R) { st[rt] = pp[L]; return; } int mid = (L + R) >> 1; build((rt << 1), L, mid); build((rt << 1 | 1), mid + 1, R); st[rt] = min(st[(rt << 1)], st[(rt << 1 | 1)]); } pair<int, int> query(int rt, int l, int r, int L, int R) { if (l <= L && R <= r) return st[rt]; int mid = (L + R) >> 1; pair<int, int> ans = {n + 1, 0}; if (l <= mid) ans = min(ans, query((rt << 1), l, r, L, mid)); if (r > mid) ans = min(ans, query((rt << 1 | 1), l, r, mid + 1, R)); return ans; } void print() { for (int i = 1; i <= n; ++i) printf("%d%c", pos[i], i == n ? '\n' : ' '); } int main() { set<int> s; scanf("%d", &n); for (int i = 1; i <= n; ++i) { scanf("%d%d", &p[i].l, &p[i].r); p[i].id = i; s.insert(i); } sort(p + 1, p + 1 + n); for (int i = 1; i <= n; ++i) { auto it = s.lower_bound(p[i].l); pos[p[i].id] = *it; pp[*it] = {p[i].l, p[i].id}; s.erase(it); } build(1, 1, n); for (int i = 1; i <= n; ++i) { int Pi = pos[p[i].id], Ri = p[i].r; if (Pi + 1 > Ri) continue; pair<int, int> res = query(1, Pi + 1, Ri, 1, n); if (res.first > Pi) continue; puts("NO"); print(); swap(pos[res.second], pos[p[i].id]); print(); return 0; } puts("YES"); print(); return 0; }
#include <bits/stdc++.h> using namespace std; int n, u = -1, v = -1; struct A { int id, l, r; } p[200000], q[200001]; int ans[200000]; bool operator<(A a, A b) { return a.r > b.r; } bool operator>(A a, A b) { return a.r < b.r; } inline bool comp(A a, A b) { return a.l < b.l; } priority_queue<A> h; void read(void) { scanf("%d", &n); for (int i = 0; i < n; i++) { scanf("%d%d", &p[i].l, &p[i].r); p[i].id = i; } sort(p, p + n, comp); int pos = 0; for (int i = 1; i <= n; i++) { while (pos < n && p[pos].l < i) pos++; while (pos < n && p[pos].l == i) { h.push(p[pos]); pos++; } ans[h.top().id] = i; h.pop(); } return; } int x, y; int mini[800001], maxi[800001]; inline void build(int i, int l, int r) { if (l == r) { mini[i] = maxi[i] = l; return; } int m = (l + r) >> 1; build(i << 1, l, m); build(i << 1 | 1, m + 1, r); if (q[mini[i << 1]].l < q[mini[i << 1 | 1]].l) mini[i] = mini[i << 1]; else mini[i] = mini[i << 1 | 1]; if (q[maxi[i << 1]].l > q[maxi[i << 1 | 1]].l) maxi[i] = maxi[i << 1]; else maxi[i] = maxi[i << 1 | 1]; return; } inline int mn(int i, int l, int r) { if (x <= l && r <= y) return mini[i]; int res, m = (l + r) >> 1, a = -1, b = -1; if (x <= m) a = mn(i << 1, l, m); if (m < y) b = mn(i << 1 | 1, m + 1, r); if (a != -1) res = a; if (b != -1 && (a == -1 || q[b].l < q[a].l)) res = b; return res; } inline int querymn(int l, int r) { x = l; y = r; return mn(1, 1, n); } inline int mx(int i, int l, int r) { if (x <= l && r <= y) return maxi[i]; int res, m = (l + r) >> 1, a = -1, b = -1; if (x <= m) a = mx(i << 1, l, m); if (m < y) b = mx(i << 1 | 1, m + 1, r); if (a != -1) res = a; if (b != -1 && (a == -1 || q[b].r > q[a].r)) res = b; return res; } inline int querymx(int l, int r) { x = l; y = r; return mx(1, 1, n); } void print(void) { if (u == -1 || v == -1) { printf("YES\n%d", ans[0]); for (int i = 1; i < n; i++) printf(" %d", ans[i]); putchar('\n'); } else { printf("NO\n%d", ans[0]); for (int i = 1; i < n; i++) printf(" %d", ans[i]); for (int i = 0; i < n; i++) if (ans[i] == u) ans[i] = v; else if (ans[i] == v) ans[i] = u; printf("\n%d", ans[0]); for (int i = 1; i < n; i++) printf(" %d", ans[i]); putchar('\n'); } return; } int main(void) { read(); for (int i = 0; i < n; i++) q[ans[p[i].id]] = p[i]; build(1, 1, n); for (int i = 1; i <= n; i++) { if (q[i].l < i) { int t = querymx(q[i].l, i - 1); if (q[t].r >= i) { u = i; v = t; break; } } if (i < q[i].r) { int t = querymn(i + 1, q[i].r); if (i >= q[t].l) { u = i; v = t; break; } } } print(); return 0; }
#include <bits/stdc++.h> using namespace std; const int inf = 1 << 30; struct segment_tree { int n; vector<pair<int, int>> a; segment_tree(int n) : n(n), a(2 * n, make_pair(inf, 0)) {} void update(int p, pair<int, int> v) { for (a[p += n] = v; p /= 2;) a[p] = min(a[2 * p], a[2 * p + 1]); } pair<int, int> query(int l, int r) { pair<int, int> g = {inf, 0}; for (l += n, r += n; l < r; l /= 2, r /= 2) { if (l & 1) g = min(g, a[l++]); if (r & 1) g = min(g, a[--r]); } return g; } }; struct info { int a, b, id; }; int main() { ios_base::sync_with_stdio(0), cin.tie(0); int n; cin >> n; vector<info> a(n); for (auto &i : a) cin >> i.a >> i.b, --i.a, --i.b, i.id = &i - &a[0]; stable_sort(a.begin(), a.end(), [](const info &x, const info &y) { return x.b < y.b; }); segment_tree st(n); for (int i = 0; i < n; ++i) st.update(i, {0, i}); vector<int> ans(n), id(n); for (auto &i : a) { int p = st.query(i.a, i.b + 1).second; ans[i.id] = p; id[p] = &i - &a[0]; st.update(p, {inf, p}); } for (int i = 0; i < n; ++i) st.update(ans[i], {a[id[ans[i]]].a, i}); vector<int> ans2 = ans; for (int i = 0; i < n; ++i) { int x = ans2[i]; if (x < a[id[x]].b) { auto q = st.query(x + 1, a[id[x]].b + 1); if (q.first <= x) { swap(ans2[i], ans2[q.second]); break; } } } if (ans == ans2) { cout << "YES\n"; for (auto &i : ans) cout << i + 1 << " \n"[i == ans.back()]; } else { cout << "NO\n"; for (auto &i : ans) cout << i + 1 << " \n"[i == ans.back()]; for (auto &i : ans2) cout << i + 1 << " \n"[i == ans2.back()]; } return 0; }
#include <bits/stdc++.h> using namespace std; template <class T> inline T bigmod(T p, T e, T M) { if (e == 0) return 1; if (e % 2 == 0) { T t = bigmod(p, e / 2, M); return (t * t) % M; } return (bigmod(p, e - 1, M) * p) % M; } 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); } template <class T> inline T multimod(T a, T b, T m) { T res = 0; a %= m, b %= m; while (b) { if (b & 1) res = m - res > a ? (res + a) : (res + a - m); b >>= 1; a = (m - a) > a ? a + a : a + a - m; } return (T)res; } void sc(int &a) { scanf("%d", &a); } void sc(long long &a) { scanf("%lld", &a); } void sc(double &a) { scanf("%lf", &a); } void sc(int &a, int &b) { scanf("%d %d", &a, &b); } void sc(long long &a, long long &b) { scanf("%lld %lld", &a, &b); } void sc(int &a, int &b, int &c) { scanf("%d %d %d", &a, &b, &c); } void sc(int &a, int &b, long long &c) { scanf("%d %d %lld", &a, &b, &c); } void sc(long long &a, long long &b, long long &c) { scanf("%lld %lld %lld", &a, &b, &c); } void sc(string &str) { cin >> str; } void sc(char *(str)) { scanf(" %s", str); } void sc(char &c) { scanf(" %c", &c); } int dr[] = {0, 1, 0, -1}; int dc[] = {1, 0, -1, 0}; struct Z { int l, r, p; Z() {} Z(int _, int __, int ___) { l = _; r = __; p = ___; } bool operator<(const Z &A) const { if (l < A.l) return true; else if (l > A.l) return false; return r < A.r; } }; Z arr[(200000 + 7)]; Z save[(200000 + 7)]; int ans[(200000 + 7)]; int can[(200000 + 7)]; int main() { int i, t, cases = 1, j, pos; int n; sc(n); for (int i = 0; i < n; i++) { sc(arr[i].l, arr[i].r); arr[i].l--; arr[i].r--; arr[i].p = i; save[i] = arr[i]; } sort(arr, arr + n); set<pair<int, int> > store; set<pair<int, int> >::iterator it; int ind = 0; int p1 = -1, p2 = -1; memset(can, -1, sizeof can); for (int pos = 0; pos < n; pos++) { while (ind < n && arr[ind].l <= pos) { store.insert(make_pair(arr[ind].r, arr[ind].p)); ind++; } it = store.begin(); int p = it->second; ans[p] = pos; store.erase(it); if (store.size() > 0) { can[p] = store.begin()->second; } } for (int i = 0; i < n; i++) { int nxt = can[i]; if (nxt == -1) continue; if (save[i].l <= ans[nxt] && ans[nxt] <= save[i].r) { p1 = i; p2 = nxt; } } if (p1 == -1) { cout << "YES\n"; for (int i = 0; i < n; i++) { cout << ans[i] + 1 << " "; } cout << "\n"; } else { cout << "NO\n"; for (int i = 0; i < n; i++) { cout << ans[i] + 1 << " "; } cout << "\n"; swap(ans[p1], ans[p2]); for (int i = 0; i < n; i++) { cout << ans[i] + 1 << " "; } cout << "\n"; } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 2e5 + 5, inf = 0x3f3f3f3f; set<pair<int, int> > hllw; vector<pair<int, int> > vec[N]; int n, A[N], B[N]; int ans[N], where[N]; pair<int, int> st[N << 1]; int query(int l, int r) { l--; pair<int, int> res; res.first = inf; res.second = inf; for (l += n, r += n; l < r; l >>= 1, r >>= 1) { if (l & 1) res = min(res, st[l++]); if (r & 1) res = min(res, st[--r]); } return res.second; } void cout_ans() { for (int i = 1; i <= n; i++) cout << ans[i] << " "; cout << endl; } int main() { cin >> n; for (int i = 1; i <= n; i++) { cin >> A[i] >> B[i]; vec[A[i]].push_back(make_pair(B[i], i)); } cout << endl; for (int i = 1; i <= n; i++) { hllw.insert(vec[i].begin(), vec[i].end()); ans[hllw.begin()->second] = i; where[i] = hllw.begin()->second; hllw.erase(hllw.begin()); } for (int i = 0; i < n; i++) { st[i + n].first = A[where[i + 1]]; st[i + n].second = i + 1; } for (int i = n - 1; i > 0; i--) { st[i] = min(st[i << 1 | 1], st[i << 1]); } for (int i = 1; i <= n; i++) { int j = query(i + 1, B[where[i]]); if (j == inf) continue; if (A[where[j]] <= i) { cout << "NO" << endl; cout_ans(); swap(ans[where[i]], ans[where[j]]); cout_ans(); return 0; } } cout << "YES" << endl; cout_ans(); return 0; }
#include <bits/stdc++.h> using namespace std; const int inf = 0x3f3f3f3f; const long long mod = 1000000007; const long long linf = 0x3f3f3f3f3f3f3f3f; mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); int n; int ans[200100]; int a[200100], b[200100]; set<pair<int, int> > s; pair<int, int> e[200100]; pair<int, int> change; set<pair<int, int> > l, r; pair<int, int> pos[200100]; void solve() { cin >> n; for (int i = 0; i < n; i++) cin >> a[i] >> b[i]; for (int i = 0; i < n; i++) e[i].first = a[i], e[i].second = i; sort(e, e + n); int j = 1; for (int i = 0; i < n; i++) { while (e[i].first > j) { pair<int, int> r = *s.begin(); s.erase(r); ans[r.second] = j; j++; } s.insert({b[e[i].second], e[i].second}); } for (auto r : s) { ans[r.second] = j; j++; } for (int i = 0; i < n; i++) { pos[i].first = ans[i]; pos[i].second = i; } sort(pos, pos + n); change = {-1, -1}; for (int i = 0; i < n; i++) { while (!r.empty() && pos[i].first > (*r.begin()).first) { int j = (*r.begin()).second; l.erase({pos[j].first, j}); r.erase(r.begin()); } if (!l.empty()) { auto it = l.lower_bound({a[pos[i].second], 0}); if (it != l.end()) { change.first = pos[i].second; change.second = pos[(*it).second].second; break; } } l.insert({pos[i].first, i}); r.insert({b[pos[i].second], i}); } if (change.first != -1) { cout << "NO\n"; for (int i = 0; i < n; i++) { cout << ans[i] << " "; } cout << "\n"; swap(ans[change.first], ans[change.second]); for (int i = 0; i < n; i++) { cout << ans[i] << " "; } cout << "\n"; } else { cout << "YES\n"; for (int i = 0; i < n; i++) { cout << ans[i] << " "; } cout << "\n"; } } int main() { cin.tie(0)->sync_with_stdio(0); ; solve(); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 2e5 + 7; int perm[N]; pair<int, int> v[N]; vector<pair<int, int>> s[N]; signed main() { ios_base ::sync_with_stdio(0); cin.tie(0); cout.tie(0); int n; cin >> n; for (int i = 1; i <= n; i++) { cin >> v[i].first >> v[i].second; s[v[i].first].push_back({v[i].second, i}); } set<pair<int, int>> best; vector<pair<int, int>> ch; for (int i = 1; i <= n; i++) { for (auto elem : s[i]) best.insert(elem); assert(!best.empty()); int p = (*best.begin()).second; perm[p] = i; best.erase(best.begin()); if (!best.empty()) { ch.push_back({p, (*best.begin()).second}); } } pair<int, int> res = {-1, -1}; for (auto [a, b] : ch) { if (v[b].first <= perm[a] && perm[a] <= v[b].second) { if (v[a].first <= perm[b] && perm[b] <= v[a].second) { res = {a, b}; break; } } } if (res.first == -1) { cout << "YES" << endl; for (int i = 1; i <= n; i++) cout << perm[i] << ' '; cout << endl; } else { cout << "NO" << endl; for (int i = 1; i <= n; i++) cout << perm[i] << ' '; cout << endl; swap(perm[res.first], perm[res.second]); for (int i = 1; i <= n; i++) cout << perm[i] << ' '; cout << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; const int MaxN = 200005; struct SegmentTree { vector<pair<int, int>> IT; vector<int> Low, High; void InitTree(int x, int Left, int Right) { Low[x] = Left; High[x] = Right; if (Left == Right) { IT[x] = make_pair(0, 0); return; } int Mid = (Left + Right) / 2; InitTree(x * 2, Left, Mid); InitTree(x * 2 + 1, Mid + 1, Right); IT[x] = max(IT[x * 2], IT[x * 2 + 1]); } void Update(int x, int Left, int Right, pair<int, int> Val) { if (Low[x] > Right || High[x] < Left) { return; } if (Low[x] >= Left && High[x] <= Right) { IT[x] = Val; return; } Update(x * 2, Left, Right, Val); Update(x * 2 + 1, Left, Right, Val); IT[x] = max(IT[x * 2], IT[x * 2 + 1]); } pair<int, int> Get(int x, int Left, int Right) { if (Low[x] > Right || High[x] < Left) { return make_pair(-1, -1); } if (Low[x] >= Left && High[x] <= Right) { return IT[x]; } return max(Get(x * 2, Left, Right), Get(x * 2 + 1, Left, Right)); } void Init(int n) { IT.resize(4 * n + 5); Low.resize(4 * n + 5); High.resize(4 * n + 5); InitTree(1, 0, n + 1); } }; int n; pair<int, int> d[MaxN]; int x[MaxN], a[MaxN], ansA[MaxN], ansB[MaxN]; priority_queue<pair<int, int>, vector<pair<int, int>>, greater<pair<int, int>>> pqMin; SegmentTree SMT; bool cmp(int x, int y) { return (d[x].first != d[y].first ? d[x].first < d[y].first : d[x].second < d[y].second); } int main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); cin >> n; for (int i = 1; i <= n; i++) { cin >> d[i].first >> d[i].second; x[i] = i; } sort(x + 1, x + n + 1, cmp); int j = 1; for (int i = 1; i <= n; i++) { while (j <= n && d[x[j]].first <= i) { pqMin.push(make_pair(d[x[j]].second, x[j])); j++; } a[i] = pqMin.top().second; ansA[a[i]] = i; ansB[a[i]] = i; pqMin.pop(); } SMT.Init(n); bool ok = true; for (int i = 1; i <= n; i++) { pair<int, int> t = SMT.Get(1, d[a[i]].first, i - 1); if (t.first >= i) { swap(ansB[t.second], ansB[a[i]]); ok = false; break; } SMT.Update(1, i, i, make_pair(d[a[i]].second, a[i])); } if (ok) { cout << "YES\n"; for (int i = 1; i <= n; i++) { cout << ansA[i] << ' '; } } else { cout << "NO\n"; for (int i = 1; i <= n; i++) { cout << ansA[i] << ' '; } cout << '\n'; for (int i = 1; i <= n; i++) { cout << ansB[i] << ' '; } } return 0; }
#include <bits/stdc++.h> using namespace std; template <class T> bool ckmin(T& a, const T& b) { return b < a ? a = b, 1 : 0; } template <class T> bool ckmax(T& a, const T& b) { return a < b ? a = b, 1 : 0; } struct I { int i, l, r; I(int i, int l, int r) : i(i), l(l), r(r) {} }; const int INF = 1e9; template <class T> struct MinSegmentTree { const T ID = {INF, INF}; T comb(T a, T b) { return min(a, b); } int n; std::vector<T> seg; void init(int _n) { n = _n; seg.assign(2 * n, ID); } void pull(int p) { seg[p] = comb(seg[2 * p], seg[2 * p + 1]); } void upd(int p, T val) { seg[p += n] = val; for (p /= 2; p; p /= 2) pull(p); } void add(int p, T val) { seg[p += n] += val; for (p /= 2; p; p /= 2) pull(p); } T query(int l, int r) { if (l > r) return ID; T ra = ID, rb = ID; for (l += n, r += n + 1; l < r; l /= 2, r /= 2) { if (l & 1) ra = comb(ra, seg[l++]); if (r & 1) rb = comb(seg[--r], rb); } return comb(ra, rb); } }; template <class T> struct MaxSegmentTree { const T ID = {-INF, -INF}; T comb(T a, T b) { return min(a, b); } int n; std::vector<T> seg; void init(int _n) { n = _n; seg.assign(2 * n, ID); } void pull(int p) { seg[p] = comb(seg[2 * p], seg[2 * p + 1]); } void upd(int p, T val) { seg[p += n] = val; for (p /= 2; p; p /= 2) pull(p); } void add(int p, T val) { seg[p += n] += val; for (p /= 2; p; p /= 2) pull(p); } T query(int l, int r) { if (l > r) return ID; T ra = ID, rb = ID; for (l += n, r += n + 1; l < r; l /= 2, r /= 2) { if (l & 1) ra = comb(ra, seg[l++]); if (r & 1) rb = comb(seg[--r], rb); } return comb(ra, rb); } }; int main() { ios_base::sync_with_stdio(0); int n; cin >> n; vector<I> ivals; for (int i = 0; i < n; ++i) { int a, b; cin >> a >> b; a--, b--; ivals.push_back(I(i, a, b)); } vector<vector<I>> beg(n); for (int i = 0; i < n; ++i) { beg[ivals[i].l].push_back(ivals[i]); } set<pair<int, int>> match; vector<int> m1(n); for (int i = 0; i < n; ++i) { for (auto& e : beg[i]) { match.emplace(e.r, e.i); } auto x = *match.begin(); match.erase(match.begin()); m1[x.second] = i; } vector<int> m2(n); auto double_finish = [&]() { cout << "NO\n"; for (auto& e : m1) cout << e + 1 << " "; cout << '\n'; for (auto& e : m2) cout << e + 1 << " "; cout << '\n'; exit(0); }; m2 = m1; auto contains = [&](int l, int r, int i) -> int { return l <= i && i <= r; }; vector<int> segs(n); MaxSegmentTree<pair<int, int>> Left; MinSegmentTree<pair<int, int>> Right; Left.init(n); Right.init(n); for (int i = 0; i < n; ++i) { segs[m1[i]] = i; } for (int i = 0; i < n; ++i) { int id = segs[i]; Right.upd(i, {ivals[id].l, i}); Left.upd(i, {ivals[id].r, i}); } for (int i = 0; i < n; ++i) { int id = segs[i]; int l = ivals[id].l; int r = ivals[id].r; auto qq = Right.query(i + 1, r); if (qq.first <= i) { int j = qq.second; swap(m2[segs[i]], m2[segs[j]]); double_finish(); } qq = Left.query(l, i - 1); if (qq.first >= i) { int j = qq.second; swap(m2[segs[i]], m2[segs[j]]); double_finish(); } } cout << "YES" << '\n'; for (auto& e : m1) cout << e + 1 << " "; cout << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 2e5 + 5; struct Item { int idx, L, R; Item() = default; Item(int _i, int _L, int _R) : idx(_i), L(_L), R(_R) {} bool operator<(const Item& rhs) const { return (L == rhs.L) ? ((R == rhs.R) ? idx < rhs.idx : R < rhs.R) : L < rhs.L; } } C[MAXN]; int n; int A[MAXN], B[MAXN]; set<int> Vertex; multiset<pair<int, int> > S; int pre[MAXN], vis[MAXN], Idx[MAXN], Pos[MAXN]; void MultiAns(int u, int nxt) { static int Cyc[MAXN], nC; puts("NO"); for (int i = 1; i <= n; ++i) printf("%d%c", Idx[i], " \n"[i == n]); Cyc[nC = 1] = Pos[nxt]; for (int v = u; v != Pos[nxt]; v = pre[v]) Cyc[++nC] = v; int v = Idx[Cyc[nC]]; for (int i = 1; i <= nC; ++i) swap(v, Idx[Cyc[i]]); for (int i = 1; i <= n; ++i) printf("%d%c", Idx[i], " \n"[i == n]); exit(0); } void dfs(int u) { vector<int> Nxt; vis[u] = 1; while (true) { auto ite = Vertex.lower_bound(A[u]); if (ite != Vertex.end() && *ite == Idx[u]) Nxt.push_back(*ite), ++ite; if (ite == Vertex.end() || *ite > B[u]) break; int v = Pos[*ite]; if (vis[v] == 1) return MultiAns(u, *ite); Nxt.push_back(*ite); if (vis[v] == 2) continue; pre[v] = u, dfs(v); } vis[u] = 2; for (const int& v : Nxt) Vertex.erase(v); } int main() { scanf("%d", &n); for (int i = 1; i <= n; ++i) scanf("%d%d", A + i, B + i); for (int i = 1; i <= n; ++i) C[i] = Item(i, A[i], B[i]); sort(C + 1, C + 1 + n); for (int p = 1, i = 1; i <= n; ++i) { while (p <= n && C[p].L <= i) S.insert(pair<int, int>(C[p].R, C[p].idx)), ++p; int d = S.begin()->second; Pos[i] = d, Idx[d] = i, S.erase(*S.begin()); } for (int i = 1; i <= n; ++i) Vertex.insert(i); for (int i = 1; i <= n; ++i) if (!vis[i]) dfs(i); puts("YES"); for (int i = 1; i <= n; ++i) printf("%d%c", Idx[i], " \n"[i == n]); return 0; }
#include <bits/stdc++.h> using namespace std; long long INFF = 1000000000000000005LL; int n; vector<pair<long long, int>> arr; struct segtree { vector<pair<long long, int>> tree, lazy; segtree(int size) { lazy = tree = vector<pair<long long, int>>(4 * size); for (int i = 0; i < 4 * size; i++) lazy[i].first = 0, tree[i].second = i; } void construct(int l = 0, int r = n - 1, int node = 1) { if (l == r) { tree[node] = arr[l]; return; } int mid = (l + r) / 2; construct(l, mid, 2 * node); construct(mid + 1, r, 2 * node + 1); tree[node] = min(tree[2 * node], tree[2 * node + 1]); } pair<long long, int> minquery(int ql, int qr, int l = 0, int r = n - 1, int node = 1) { if (qr < 0) return {-1, -1}; if (ql >= n) return {-1, -1}; if (ql > qr) return {-1, -1}; if (lazy[node].first) { tree[node].first += lazy[node].first; if (l != r) { lazy[2 * node].first += lazy[node].first; lazy[2 * node + 1].first += lazy[node].first; } lazy[node].first = 0; } if (l > r || l > qr || ql > r) return {INFF, -1}; if (ql <= l && qr >= r) return {tree[node].first, tree[node].second}; int mid = (l + r) / 2; return min(minquery(ql, qr, l, mid, 2 * node), minquery(ql, qr, mid + 1, r, 2 * node + 1)); } void display() { for (auto u : tree) { cout << u.first << " "; } cout << "\n"; for (auto u : tree) { cout << u.second << " "; } cout << "\n"; } }; void solve(vector<int> &ans, vector<pair<int, int>> &mem) { deque<pair<pair<int, int>, int>> v; for (int i = 0; i < n; i++) v.push_back({{mem[i].first, mem[i].second}, i}); sort(v.begin(), v.end()); multiset<pair<int, int>> mst; for (int i = 0; i < n; i++) { while ((int)v.size() > 0 && v[0].first.first <= i) { mst.insert({v[0].first.second, v[0].second}); v.pop_front(); } ans[mst.begin()->second] = i + 1; mst.erase(mst.find(*mst.begin())); } } int main() { ios_base::sync_with_stdio(0); cin.tie(0), cout.tie(0); cin >> n; segtree st(n); vector<int> ans(n), ch(n); vector<pair<int, int>> range(n); vector<pair<int, int>> mem(n); arr.resize(n); for (int i = 0; i < n; i++) { cin >> mem[i].first >> mem[i].second; mem[i].first--, mem[i].second--; } solve(ans, mem); for (int i = 0; i < n; i++) { ch[ans[i] - 1] = i; arr[ans[i] - 1] = {mem[i].first, i}; } st.construct(); for (int i = 0; i < n; i++) { pair<long long, int> a = st.minquery(i + 1, mem[ch[i]].second); if (a.first == -1) continue; if (a.first <= i) { cout << "NO\n"; for (auto u : ans) cout << u << " "; cout << "\n"; swap(ans[ch[i]], ans[a.second]); for (auto u : ans) cout << u << " "; return 0; } } cout << "YES\n"; for (auto u : ans) cout << u << " "; return 0; }
#include <bits/stdc++.h> using namespace std; inline int read() { int ans = 0, f = 1; char c = getchar(); for (; !isdigit(c); c = getchar()) if (c == '-') f = -1; for (; isdigit(c); c = getchar()) ans = (ans << 3) + (ans << 1) + (c ^ 48); return ans * f; } inline int cmin(int &a, int b) { return a = min(a, b); } inline int cmax(int &a, int b) { return a = max(a, b); } struct data { int id, l, r; bool operator<(const data &rhs) const { return l == rhs.l ? r < rhs.r : l < rhs.l; } } a[200005]; int n; int ans[200005]; int pos[200005]; struct node { int id, l; bool operator<(const node &rhs) const { return l < rhs.l; } } t[800005]; inline void push_up(int p) { t[p] = min(t[(p << 1)], t[(p << 1 | 1)]); } void build(int p, int l, int r) { if (l == r) { t[p] = node{pos[l], a[pos[l]].l}; return; } int mid = l + r >> 1; build((p << 1), l, mid); build((p << 1 | 1), mid + 1, r); push_up(p); } int query(int p, int l, int r, int ql, int qr) { if (ql <= l && r <= qr) return t[p].id; int mid = l + r >> 1; int ret = 0, val = 1e9; if (ql <= mid) { int tmp = query((p << 1), l, mid, ql, qr); if (a[tmp].l < val) val = a[tmp].l, ret = tmp; } if (qr > mid) { int tmp = query((p << 1 | 1), mid + 1, r, ql, qr); if (a[tmp].l < val) val = a[tmp].l, ret = tmp; } return ret; } int flag = 0, x, y; multiset<node> s; int main() { n = read(); for (int i = 1; i <= n; i++) a[i].id = i, a[i].l = read(), a[i].r = read(); sort(a + 1, a + n + 1); for (int i = 1, j = 1; i <= n; i++) { while (j <= n && a[j].l <= i) { s.insert({j, a[j].r}); j++; } auto x = s.lower_bound({0, i}); ans[a[x->id].id] = i; pos[i] = x->id; s.erase(x); } build(1, 1, n); for (int i = 1; i < n; i++) { if (a[pos[i]].r == i) continue; int j = query(1, 1, n, i + 1, a[pos[i]].r); if (a[j].l <= i && a[j].l) { flag = 1, x = i, y = j; break; } } if (!flag) { cout << "YES" << endl; for (int i = 1; i <= n; i++) cout << ans[i] << ' '; cout << endl; } else { cout << "NO" << endl; for (int i = 1; i <= n; i++) cout << ans[i] << ' '; cout << endl; swap(ans[a[pos[x]].id], ans[a[y].id]); for (int i = 1; i <= n; i++) cout << ans[i] << ' '; cout << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; const long long MAXN = 1e6 + 5; int ans1, ans2; int l[MAXN]; int r[MAXN]; int res[MAXN]; int pos[MAXN]; int n; vector<int> v2; priority_queue<pair<int, int>> q1; vector<pair<pair<int, int>, int>> v1; int main() { cin >> n; for (int i = 1; i <= n; i++) { cin >> l[i] >> r[i]; v1.push_back(make_pair(make_pair(l[i], r[i]), i)); } sort(v1.begin(), v1.end()); int ind = 0; for (int i = 1; i <= n; i++) { while (ind < n && v1[ind].first.first <= i) { q1.push(make_pair(-v1[ind].first.second, v1[ind].second)); ind++; } res[i] = q1.top().second; q1.pop(); } for (int i = 1; i <= n; i++) { while (v2.size() && r[res[v2.back()]] < i) { v2.pop_back(); } int currl = l[res[i]]; int currr = r[res[i]]; if (v2.size() && currl <= v2.back()) { ans1 = i; ans2 = v2.back(); } while (v2.size() && currr >= r[res[v2.back()]]) { v2.pop_back(); } v2.push_back(i); } if (ans1) { cout << "NO" << endl; ; for (int i = 1; i <= n; i++) { pos[res[i]] = i; } for (int i = 1; i <= n; i++) { cout << pos[i] << " "; } cout << endl; for (int i = 1; i <= n; i++) { if (i == ans1) { pos[res[ans2]] = i; } else if (i == ans2) { pos[res[ans1]] = i; } else { pos[res[i]] = i; } } for (int i = 1; i <= n; i++) { cout << pos[i] << " "; } } else { cout << "YES" << endl; for (int i = 1; i <= n; i++) { pos[res[i]] = i; } for (int i = 1; i <= n; i++) { cout << pos[i] << " "; } cout << endl; } }
#include <bits/stdc++.h> using namespace std; using ll = long long; using ii = pair<int, int>; constexpr int MX = 2e5 + 5; template <typename T> struct seg_tree { T seg[4 * MX], tmp[4 * MX]; inline T pull(const T& a, const T& b) { return min(a, b); } void update(int x, T v, int l = 0, int r = MX - 1, int n = 1) { if (l == r) { seg[n] = v; return; } int m = l + r >> 1; x <= m ? update(x, v, l, m, n << 1) : update(x, v, m + 1, r, n << 1 | 1); seg[n] = pull(seg[n << 1], seg[n << 1 | 1]); } T query(int a, int b, int l = 0, int r = MX - 1, int n = 1) { if (a > b || l > b || r < a) return ii(1e9, 0); if (l >= a && r <= b) return seg[n]; int m = l + r >> 1; return pull(query(a, b, l, m, n << 1), query(a, b, m + 1, r, n << 1 | 1)); } }; vector<ii> v[MX]; int a[MX], b[MX], P[MX], ans[MX]; seg_tree<ii> seg; int main() { if (fopen("in", "r")) freopen("in", "r", stdin), freopen("out", "w", stdout); cin.tie(0)->sync_with_stdio(0); int n; cin >> n; for (int i = 0; i < n; ++i) { cin >> a[i] >> b[i]; --a[i], --b[i]; v[a[i]].emplace_back(b[i], i); } set<ii> S; for (int i = 0; i < n; ++i) { S.insert(begin(v[i]), end(v[i])); ans[begin(S)->second] = i, P[i] = begin(S)->second; S.erase(begin(S)); } for (int i = 0; i < n; ++i) seg.update(i, ii(a[P[i]], i)); for (int i = 0; i < n; ++i) { ii j = seg.query(i + 1, b[P[i]]); if (j.first < 1e9 && a[P[j.second]] <= i) { cout << "NO\n"; for (int _ : {0, 1}) { for (int k = 0; k < n; ++k) cout << ans[k] + 1 << ' '; cout << '\n'; swap(ans[P[i]], ans[P[j.second]]); } return 0; } } cout << "YES\n"; for (int k = 0; k < n; ++k) cout << ans[k] + 1 << ' '; cout << '\n'; }
#include <bits/stdc++.h> const int N = 2e5 + 10; const int inf = 0x3f3f3f3f; int n, m, i, j, k; int l[N], r[N]; int a[N], rev[N], pos[N], senq[N]; struct Segment_Tree1 { int mn[N << 2]; inline void push_up(int u) { mn[u] = std::min(mn[u << 1], mn[u << 1 | 1]); } void build(int l, int r, int u) { if (l == r) { mn[u] = l; return; } int mid = (l + r) >> 1; build(l, mid, u << 1); build(mid + 1, r, u << 1 | 1); push_up(u); } int range_min(int ql, int qr, int l, int r, int u) { if (ql <= l && r <= qr) { return mn[u]; } int mid = (l + r) >> 1, res = inf; if (ql <= mid) { res = std::min(res, range_min(ql, qr, l, mid, u << 1)); } if (mid < qr) { res = std::min(res, range_min(ql, qr, mid + 1, r, u << 1 | 1)); } return res; } void modify(int pos, int l, int r, int u, int val) { if (l == r) { mn[u] = val; return; } int mid = (l + r) >> 1; if (pos <= mid) { modify(pos, l, mid, u << 1, val); } else { modify(pos, mid + 1, r, u << 1 | 1, val); } push_up(u); } } st1; struct Segment_Tree2 { int mn[N << 2]; inline int cmpl(int a, int b) { return l[rev[a]] < l[rev[b]] ? a : b; } inline void push_up(int u) { mn[u] = cmpl(mn[u << 1], mn[u << 1 | 1]); } void build(int l, int r, int u) { if (l == r) { mn[u] = l; return; } int mid = (l + r) >> 1; build(l, mid, u << 1); build(mid + 1, r, u << 1 | 1); push_up(u); } int range_min(int ql, int qr, int l, int r, int u) { if (ql <= l && r <= qr) { return mn[u]; } int mid = (l + r) >> 1, res = 0; if (ql <= mid) { res = cmpl(res, range_min(ql, qr, l, mid, u << 1)); } if (mid < qr) { res = cmpl(res, range_min(ql, qr, mid + 1, r, u << 1 | 1)); } return res; } } st2; int main() { scanf("%d", &n); for (int i = 1; i <= n; i++) { scanf("%d %d", l + i, r + i); senq[i] = i; } std::sort(senq + 1, senq + n + 1, [](int a, int b) { return r[a] < r[b]; }); l[0] = inf; st1.build(1, n, 1); for (int i = 1; i <= n; i++) { pos[senq[i]] = st1.range_min(l[senq[i]], r[senq[i]], 1, n, 1); rev[pos[senq[i]]] = senq[i]; st1.modify(pos[senq[i]], 1, n, 1, n); } st2.build(1, n, 1); int x = -1, y = -1; bool flag = 0; for (int i = 1, cur; i <= n; i++) { if (l[cur = rev[st2.range_min(i + 1, r[rev[i]], 1, n, 1)]] <= i) { x = rev[i]; y = cur; flag = 1; break; } } if (!flag) { puts("YES"); for (int i = 1; i <= n; i++) { printf("%d%c", pos[i], " \n"[i == n]); } } else { puts("NO"); for (int i = 1; i <= n; i++) { printf("%d%c", pos[i], " \n"[i == n]); } std::swap(pos[x], pos[y]); for (int i = 1; i <= n; i++) { printf("%d%c", pos[i], " \n"[i == n]); } } return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 2e5 + 5; pair<int, int> intervals[MAXN]; vector<pair<int, int> > add_to_q[MAXN]; int ordered_friends[MAXN]; int minimum[MAXN][20]; int ans[MAXN]; int query(int l, int r) { if (l > r) return 2e9; int cur = l; int ans = 2e9; for (int i = 19; i >= 0; i--) { if ((1 << i) & (r - l + 1)) { ans = min(ans, minimum[cur][i]); cur += (1 << i); } } return ans; } int main() { ios_base::sync_with_stdio(0); int n; cin >> n; for (int i = 1; i <= n; i++) cin >> intervals[i].first >> intervals[i].second; for (int i = 1; i <= n; i++) { add_to_q[intervals[i].first].push_back( pair<int, int>(intervals[i].second, i)); } priority_queue<pair<int, int>, vector<pair<int, int> >, greater<pair<int, int> > > pq; for (int i = 1; i <= n; i++) { for (pair<int, int> j : add_to_q[i]) pq.push(j); ordered_friends[i] = pq.top().second; pq.pop(); } for (int i = 1; i <= n; i++) minimum[i][0] = intervals[ordered_friends[i]].first; for (int i = 1; i <= 19; i++) { for (int j = 1; j <= n; j++) { minimum[j][i] = minimum[j][i - 1]; if (j + (1 << (i - 1)) <= n) minimum[j][i] = min(minimum[j][i], minimum[j + (1 << (i - 1))][i - 1]); } } for (int i = n; i >= 1; i--) { if (i + 1 <= intervals[ordered_friends[i]].second) { if (query(i + 1, intervals[ordered_friends[i]].second) <= i) { cout << "NO" << '\n'; for (int i = 1; i <= n; i++) ans[ordered_friends[i]] = i; for (int i = 1; i <= n; i++) cout << ans[i] << ' '; cout << '\n'; for (int j = i + 1; j <= intervals[ordered_friends[i]].second; j++) { if (intervals[ordered_friends[j]].first <= i) { swap(ans[ordered_friends[i]], ans[ordered_friends[j]]); break; } } for (int i = 1; i <= n; i++) cout << ans[i] << ' '; return 0; } } } cout << "YES" << '\n'; for (int i = 1; i <= n; i++) ans[ordered_friends[i]] = i; for (int i = 1; i <= n; i++) cout << ans[i] << ' '; return 0; }
#include <bits/stdc++.h> using namespace std; const long long INF = 1000000007; const long long INFL = 1000000000000000007; const long double INFS = 0.00000001; const long long MOD = 1000000007; const long double PI = 3.14159265; const int dir[4][2] = {{1, 0}, {-1, 0}, {0, 1}, {0, -1}}; const int dir2[8][2] = {{1, 1}, {1, 0}, {1, -1}, {0, 1}, {0, -1}, {-1, 1}, {-1, 0}, {-1, -1}}; long long min(long long x, long long y) { return x < y ? x : y; } long long minr(vector<long long> x) { long long Min = INFL; for (auto i : x) Min = min(Min, i); return Min; } long long max(long long x, long long y) { return x > y ? x : y; } long long maxr(vector<long long> x) { long long Max = -INFL; for (auto i : x) Max = max(Max, i); return Max; } void ex_gcd(long long a, long long b, long long &d, long long &x, long long &y) { if (!b) d = a, x = 1, y = 0; else ex_gcd(b, a % b, d, y, x), y -= x * (a / b); } long long modinv(long long x) { long long ret, tr1, tr2; ex_gcd(x, MOD, tr1, ret, tr2); while (ret < 0) ret += MOD; return ret; } pair<pair<int, int>, int> a[200001]; set<pair<int, int> > val; bool ansone = true; int ans[2][200001]; struct node { int l, r; int lc, rc; int i; }; node seg[1000001]; void add(int p, int l, int r, int d) { if (seg[p].l >= l && seg[p].r <= r) { seg[p].i += d; } else { if (l < (seg[p].l + seg[p].r) / 2) add(seg[p].lc, l, r, d); if (r > (seg[p].l + seg[p].r) / 2) add(seg[p].rc, l, r, d); int x = seg[p].lc, y = seg[p].rc; seg[p].i = min(seg[x].i, seg[y].i); } } int mini(int p, int l, int r) { if (seg[p].l >= l && seg[p].r <= r) return seg[p].i; else { int ret = INF; if (l < (seg[p].l + seg[p].r) / 2) ret = min(ret, mini(seg[p].lc, l, r)); if (r > (seg[p].l + seg[p].r) / 2) ret = min(ret, mini(seg[p].rc, l, r)); return ret; } } void build(int p, int l, int r) { seg[p].l = l, seg[p].r = r; seg[p].lc = 0, seg[p].rc = 0; seg[p].i = 0; if (l + 1 < r) { seg[p].lc = 2 * p, seg[p].rc = 2 * p + 1; build(2 * p, l, (l + r) / 2); build(2 * p + 1, (l + r) / 2, r); } } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); int n; int i, j; cin >> n; for (i = 1; i <= n; i++) cin >> a[i].first.first >> a[i].first.second, a[i].second = i; sort(a + 1, a + n + 1); build(1, 1, n + 1); int cur = 1; for (i = 1; i <= n; i++) { while (cur <= n && a[cur].first.first <= i) val.insert({a[cur].first.second, cur}), cur++; int f = val.begin()->second; val.erase(val.begin()); ans[0][a[f].second] = i, ans[1][a[f].second] = i; add(1, i, i + 1, a[f].first.first); } for (i = 1; i <= n; i++) { int pos1 = ans[0][a[i].second]; if (a[i].first.second > pos1 && mini(1, pos1 + 1, a[i].first.second + 1) <= pos1) { for (j = 1; j <= n; j++) { int pos2 = ans[0][a[j].second]; if (j != i && pos2 > pos1 && pos2 <= a[i].first.second && a[j].first.first <= pos1) { int t = ans[1][a[i].second]; ans[1][a[i].second] = ans[1][a[j].second]; ans[1][a[j].second] = t; break; } } ansone = false; break; } } if (ansone) { cout << "YES" << endl; for (i = 1; i < n; i++) cout << ans[0][i] << " "; cout << ans[0][n] << endl; } else { cout << "NO" << endl; for (i = 1; i < n; i++) cout << ans[0][i] << " "; cout << ans[0][n] << endl; for (i = 1; i < n; i++) cout << ans[1][i] << " "; cout << ans[1][n] << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; const int MX = 200005; int n, a[MX], b[MX], res[MX], ot[MX], f[MX]; vector<long long> pos[MX], del[MX]; set<pair<int, int> > st; set<int> in; int main() { ios_base::sync_with_stdio(0); cin.tie(0); cin >> n; for (int i = 0; i < n; i++) { cin >> a[i] >> b[i]; pos[a[i]].push_back(i); } for (int i = 1; i <= n; i++) { for (int j : pos[i]) st.emplace(b[j], j); f[i] = st.begin()->second; res[f[i]] = i; st.erase(st.begin()); } for (int i = 1; i <= n; i++) { if (in.size() && *in.rbegin() >= a[f[i]]) { for (int i = 0; i < n; i++) ot[i] = res[i]; swap(ot[f[i]], ot[f[*in.rbegin()]]); cout << "NO" << '\n'; for (int i = 0; i < n; i++) cout << res[i] << " "; cout << '\n'; for (int i = 0; i < n; i++) cout << ot[i] << " "; cout << '\n'; return 0; } in.insert(i); del[b[f[i]]].push_back(i); for (int j : del[i]) in.erase(j); } cout << "YES" << '\n'; for (int i = 0; i < n; i++) cout << res[i] << " "; cout << '\n'; return 0; }
#include <bits/stdc++.h> #pragma GCC optimize("Ofast") using namespace std; int n, x, y; int ans[200005]; vector<pair<int, int>> l[200005]; set<pair<int, int>> s; pair<int, int> v[200005]; int main() { cin >> n; for (int i = 1; i <= n; i++) { cin >> x >> y; l[x].push_back({y, i}); v[i] = {x, y}; } for (int i = 1; i <= n; i++) { for (auto &j : l[i]) s.insert(j); ans[s.begin()->second] = i; s.erase(s.begin()); } bool ok = 0; for (int i = 1; i <= n; i++) { for (auto &j : l[i]) s.insert(j); if (s.size() > 1) { auto it = s.begin(); it++; if (ans[it->second] <= s.begin()->first) { cout << "NO\n"; for (int j = 1; j <= n; j++) cout << ans[j] << " "; cout << "\n"; swap(ans[s.begin()->second], ans[it->second]); for (int j = 1; j <= n; j++) cout << ans[j] << " "; ok = 1; break; } } s.erase(s.begin()); } if (!ok) { cout << "YES\n"; for (int i = 1; i <= n; i++) cout << ans[i] << " "; } return 0; }
#include <bits/stdc++.h> using namespace std; const int MOD = 998244353, N = (int)2e5 + 50; struct Tree { pair<int, int> dat[N * 4]; void init_dat() { fill(dat, dat + N * 4, pair<int, int>{-1, -1}); } void update(int pos, int x, int l, int r, pair<int, int> p) { int mid = (l + r) / 2; if (l == r) { dat[x] = p; return; } if (pos <= mid) update(pos, 2 * x + 1, l, mid, p); else update(pos, 2 * x + 2, mid + 1, r, p); dat[x] = max(dat[2 * x + 1], dat[2 * x + 2]); } pair<int, int> query(int a, int b, int x, int l, int r) { if (r < a || b < l) return {-1, -1}; int mid = (l + r) / 2; if (a <= l && r <= b) return dat[x]; return max(query(a, b, 2 * x + 1, l, mid), query(a, b, 2 * x + 2, mid + 1, r)); } } tree; struct rg { int l, r, idx, loc; }; int n; rg rgs[N]; int res[N]; int main() { ios::sync_with_stdio(false); cin.tie(NULL); cin >> n; for (int i = 0; i < (n); ++i) { cin >> rgs[i].l >> rgs[i].r; rgs[i].l--, rgs[i].r--; rgs[i].idx = i; } set<int> S; for (int i = 0; i < (n); ++i) S.insert(i); sort(rgs, rgs + n, [](const rg &a, const rg &b) { return a.r < b.r; }); for (int i = 0; i < (n); ++i) { auto it = S.lower_bound(rgs[i].l); assert(it != S.end()); rgs[i].loc = *it; S.erase(it); } for (int i = 0; i < (n); ++i) res[rgs[i].idx] = rgs[i].loc; tree.init_dat(); sort(rgs, rgs + n, [](const rg &a, const rg &b) { return a.loc < b.loc; }); for (int i = 0; i < (n); ++i) { pair<int, int> p = tree.query(rgs[i].l, rgs[i].r, 0, 0, n - 1); if (p.first >= rgs[i].loc) { cout << "NO\n"; for (int j = 0; j < (n); ++j) cout << res[j] + 1 << " "; cout << '\n'; swap(res[rgs[i].idx], res[p.second]); for (int j = 0; j < (n); ++j) cout << res[j] + 1 << " "; cout << '\n'; return 0; } tree.update(rgs[i].loc, 0, 0, n - 1, {rgs[i].r, rgs[i].idx}); } cout << "YES\n"; for (int j = 0; j < (n); ++j) cout << res[j] + 1 << " "; cout << '\n'; }
#include <bits/stdc++.h> using namespace std; clock_t start; mt19937_64 rng(chrono::system_clock::now().time_since_epoch().count()); template <typename T> void _F(const char *name, T arg1) { cerr << name << " = " << arg1 << '\n'; } template <typename T, typename... Args> void _F(const char *names, T arg1, Args... args) { const char *name = strchr(names, ','); cerr.write(names, name - names) << " = " << arg1 << '\n'; _F(name + 2, args...); } template <typename T1, typename T2> istream &operator>>(istream &in, pair<T1, T2> &q) { in >> q.first >> q.second; return in; } template <typename T1, typename T2> ostream &operator<<(ostream &out, pair<T1, T2> &q) { out << q.first << " " << q.second; return out; } template <typename T1, typename T2> pair<T1, T2> operator+(pair<T1, T2> p1, pair<T1, T2> p2) { return {p1.first + p2.first, p1.second + p2.second}; } template <typename T1, typename T2> pair<T1, T2> operator-(pair<T1, T2> p1, pair<T1, T2> p2) { return {p1.first - p2.first, p1.second - p2.second}; } const long long N = 2e5 + 10; long long l[N], r[N], ans[N], tmp[N], pos[N]; long long n; vector<pair<long long, long long> > Q[N]; struct segm { long long seg[4 * N]; segm() { for (long long i = 0; i < 4 * N; i++) { seg[i] = -1; } } void build(long long s, long long e, long long v) { if (s == e) seg[v] = ans[s]; else { long long mid = (s + e) / 2; build(s, mid, 2 * v), build(mid + 1, e, 2 * v + 1); long long left = 2 * v, right = 2 * v + 1; if (r[seg[left]] < r[seg[right]]) swap(left, right); seg[v] = seg[left]; } } long long query(long long s, long long e, long long v, long long ll, long long rr) { if (ll > e || rr < s) return -1; else if (ll <= s && rr >= e) return seg[v]; else { long long mid = (s + e) / 2; long long left = query(s, mid, 2 * v, ll, rr); long long right = query(mid + 1, e, 2 * v + 1, ll, rr); if (left == -1) return right; if (right == -1) return left; if (r[left] < r[right]) swap(left, right); return left; } } } st; void PrintAns() { for (long long i = 1; i <= n; i++) tmp[ans[i]] = i; for (long long i = 1; i <= n; i++) cout << tmp[i] << " "; cout << '\n'; } void solve() { cin >> n; for (long long i = 1; i <= n; i++) { cin >> l[i] >> r[i]; Q[l[i]].push_back(make_pair(r[i], i)); } for (long long i = 1; i <= n; i++) sort((Q[i]).begin(), (Q[i]).end()); set<pair<long long, long long> > open; for (long long i = 1; i <= n; i++) { while ((long long)((Q[i]).size())) { open.insert(Q[i].back()); Q[i].pop_back(); } while ((long long)((open).size()) && (*begin(open)).first < i) { open.erase(begin(open)); } ans[i] = (*begin(open)).second; pos[ans[i]] = i; open.erase(begin(open)); } st.build(1, n, 1); for (long long i = 2; i <= n; i++) { long long j = st.query(1, n, 1, l[ans[i]], i - 1); if (j != -1 && r[j] >= i) { cout << "NO" << '\n'; PrintAns(); swap(ans[i], ans[pos[j]]); PrintAns(); return; } } cout << "YES" << '\n'; PrintAns(); } signed main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); long long t = 1; start = clock(); cout << fixed << setprecision(20); for (long long i = 1; i <= t; ++i) { solve(); } return 0; }
#include <bits/stdc++.h> using namespace std; using pii = pair<int, int>; int A[200009], B[200009], ans[200009], R[200009]; vector<int> Q[200009]; int main() { int N; scanf("%d", &N); for (int i = 1; i <= N; i++) { scanf("%d%d", &A[i], &B[i]); Q[A[i]].push_back(i); } priority_queue<pii> pq; for (int i = 1; i <= N; i++) { for (auto& it : Q[i]) pq.push({-B[it], it}); int x = pq.top().second; pq.pop(); ans[x] = i; R[i] = x; } int x = -1, y = -1; set<int> S = {-1, N + 1}; for (int i = 1; i <= N; i++) { for (auto& it : Q[i]) { pq.push({-B[it], it}); S.insert(ans[it]); } auto it = S.find(i); if (*next(it) <= B[R[i]]) x = R[i], y = R[*next(it)]; if (A[R[i]] <= *prev(it)) x = R[i], y = R[*prev(it)]; while (pq.size() && -pq.top().first == i) { S.erase(ans[pq.top().second]); pq.pop(); } } if (x == -1) { puts("YES"); for (int i = 1; i <= N; i++) printf("%d ", ans[i]); } else { puts("NO"); for (int i = 1; i <= N; i++) printf("%d ", ans[i]); puts(""); swap(ans[x], ans[y]); for (int i = 1; i <= N; i++) printf("%d ", ans[i]); } return 0; }
#include <bits/stdc++.h> using namespace std; int inf; const double eps = 1e-8; const double pi = acos(-1.0); template <class T, class T2> int chkmin(T &a, T2 b) { return a > b ? a = b, 1 : 0; } template <class T, class T2> int chkmax(T &a, T2 b) { return a < b ? a = b, 1 : 0; } template <class T> T sqr(T a) { return a * a; } template <class T, class T2> T mmin(T a, T2 b) { return a < b ? a : b; } template <class T, class T2> T mmax(T a, T2 b) { return a > b ? a : b; } template <class T> T aabs(T a) { return a < 0 ? -a : a; } template <class T> int dcmp(T a, T b) { return a > b; } template <int *a> int cmp_a(int first, int second) { return a[first] < a[second]; } struct __INIT__ { __INIT__() { memset(&inf, 0x3f, sizeof(inf)); } } __INIT___; namespace io { const int SIZE = (1 << 21) + 1; char ibuf[SIZE], *iS, *iT, obuf[SIZE], *oS = obuf, *oT = oS + SIZE - 1, c, qu[55]; int f, qr; inline void flush() { fwrite(obuf, 1, oS - obuf, stdout); oS = obuf; } inline void putc(char first) { *oS++ = first; if (oS == oT) flush(); } template <typename A> inline bool read(A &first) { for (f = 1, c = (iS == iT ? (iT = (iS = ibuf) + fread(ibuf, 1, SIZE, stdin), (iS == iT ? EOF : *iS++)) : *iS++); c < '0' || c > '9'; c = (iS == iT ? (iT = (iS = ibuf) + fread(ibuf, 1, SIZE, stdin), (iS == iT ? EOF : *iS++)) : *iS++)) if (c == '-') f = -1; else if (c == EOF) return 0; for (first = 0; c <= '9' && c >= '0'; c = (iS == iT ? (iT = (iS = ibuf) + fread(ibuf, 1, SIZE, stdin), (iS == iT ? EOF : *iS++)) : *iS++)) first = first * 10 + (c & 15); first *= f; return 1; } inline bool read(char &first) { while ((first = (iS == iT ? (iT = (iS = ibuf) + fread(ibuf, 1, SIZE, stdin), (iS == iT ? EOF : *iS++)) : *iS++)) == ' ' || first == '\n' || first == '\r') ; return first != EOF; } inline bool read(char *first) { while ((*first = (iS == iT ? (iT = (iS = ibuf) + fread(ibuf, 1, SIZE, stdin), (iS == iT ? EOF : *iS++)) : *iS++)) == '\n' || *first == ' ' || *first == '\r') ; if (*first == EOF) return 0; while (!(*first == '\n' || *first == ' ' || *first == '\r' || *first == EOF)) *(++first) = (iS == iT ? (iT = (iS = ibuf) + fread(ibuf, 1, SIZE, stdin), (iS == iT ? EOF : *iS++)) : *iS++); *first = 0; return 1; } template <typename A, typename... B> inline bool read(A &first, B &...second) { return read(first) && read(second...); } template <typename A> inline bool write(A first) { if (!first) putc('0'); if (first < 0) putc('-'), first = -first; while (first) qu[++qr] = first % 10 + '0', first /= 10; while (qr) putc(qu[qr--]); return 0; } inline bool write(char first) { putc(first); return 0; } inline bool write(const char *first) { while (*first) { putc(*first); ++first; } return 0; } inline bool write(char *first) { while (*first) { putc(*first); ++first; } return 0; } template <typename A, typename... B> inline bool write(A first, B... second) { return write(first) || write(second...); } struct Flusher_ { ~Flusher_() { flush(); } } io_flusher_; } // namespace io using io ::putc; using io ::read; using io ::write; int l[200005], r[200005]; vector<pair<int, int> > to[200005]; priority_queue<pair<int, int>, vector<pair<int, int> >, greater<pair<int, int> > > pq; int n; int a[200005], ins[400005], ym[200005]; int stk[400005], t, vis[400005]; set<int> ya, yb; int w[400005]; void find_cir(int first, int second) { write("NO\n"); for (int i = 1; i <= n; ++i) write(a[i], i == n ? '\n' : ' '); stk[++t] = second; int m; for (int i = t; i; --i) if (stk[i] == first) { for (int j = i; j <= t; ++j) w[j - i] = stk[j]; m = t - i + 1; } for (int i = 0; i < m; ++i) if (w[i] <= n) { a[w[i]] ^= (w[(i + 1) % m] - n) ^ (w[(i + m - 1) % m] - n); } for (int i = 1; i <= n; ++i) write(a[i], i == n ? '\n' : ' '); exit(0); } void dfs(int first) { if (first <= n) { auto it = yb.lower_bound(l[first]); while (it != yb.end() && *it <= r[first]) { if (*it == a[first]) { ++it; } else { find_cir(*it + n, first); } } vis[first] = 1; ins[first] = 1; stk[++t] = first; while (1) { it = ya.lower_bound(l[first]); if (it != ya.end() && *it == a[first]) ++it; if (it != ya.end() && *it <= r[first]) dfs(*it + n); else break; } ins[first] = 0; --t; } else { if (ins[ym[first - n]]) { find_cir(ym[first - n], first); } else { stk[++t] = first; ins[first] = 1; vis[first] = 1; ya.erase(first - n); yb.insert(first - n); dfs(ym[first - n]); yb.erase(first - n); ins[first] = 0; --t; } } } signed main() { read(n); for (int i = 1; i <= n; ++i) { read(l[i], r[i]); to[l[i]].push_back(make_pair(r[i], i)); } for (int i = 1; i <= n; ++i) { for (auto j : to[i]) pq.push(j); a[pq.top().second] = i; ym[i] = pq.top().second; pq.pop(); } for (int i = 1; i <= n; ++i) ya.insert(i); for (int i = 1; i <= n; ++i) if (!vis[i]) dfs(i); write("YES\n"); for (int i = 1; i <= n; ++i) write(a[i], i == n ? '\n' : ' '); return 0; }
#include <bits/stdc++.h> using namespace std; const int inf = 0x3f3f3f3f; const int maxn = 2e5 + 10; int tree[maxn << 2], id[maxn << 2]; int ans[maxn], pos[maxn], L[maxn], R[maxn]; int n; vector<pair<int, int> > v[maxn]; void build(int o, int l, int r) { if (l == r) { tree[o] = L[pos[l]]; id[o] = l; return; } int mid = l + r >> 1; build(o << 1, l, mid); build(o << 1 | 1, mid + 1, r); if (tree[o << 1] < tree[o << 1 | 1]) id[o] = id[o << 1]; else id[o] = id[o << 1 | 1]; tree[o] = min(tree[o << 1 | 1], tree[o << 1]); } pair<int, int> query(int o, int l, int r, int x, int y) { if (x <= l && y >= r) return make_pair(tree[o], id[o]); int mid = l + r >> 1; pair<int, int> tmp1 = make_pair(-1, -1), tmp2 = make_pair(-1, -1); if (mid >= x) tmp1 = query(o << 1, l, mid, x, y); if (mid < y) tmp2 = query(o << 1 | 1, mid + 1, r, x, y); if (tmp1.first == -1) return tmp2; if (tmp2.first == -1) return tmp1; if (tmp1.first > tmp2.first) return tmp2; else return tmp1; } void print() { for (int i = 1; i <= n; i++) { cout << ans[i] << " "; } cout << endl; } int main() { scanf("%d", &n); for (int i = 1; i <= n; i++) { scanf("%d%d", &L[i], &R[i]); v[L[i]].push_back(make_pair(R[i], i)); } set<pair<int, int> > s; for (int i = 1; i <= n; i++) { s.insert(v[i].begin(), v[i].end()); ans[(*s.begin()).second] = i; pos[i] = (*s.begin()).second; s.erase(s.begin()); } build(1, 1, n); for (int i = 1; i <= n; i++) { pair<int, int> tmp = query(1, 1, n, i + 1, R[pos[i]]); if (i + 1 > R[pos[i]]) continue; if (tmp.first <= i) { printf("NO\n"); print(); swap(ans[pos[tmp.second]], ans[pos[i]]); print(); return 0; } } printf("YES\n"); print(); }
#include <bits/stdc++.h> using namespace std; const int N = 200100; int n, a[N], b[N], p[N], pa[N]; vector<pair<int, int>> g[N]; void output() { static int out[N]; for (int i = 1; i <= n; ++i) { out[p[i]] = i; } for (int i = 1; i <= n; ++i) { cout << out[i] << " \n"[i == n]; } } int main() { ios_base::sync_with_stdio(false); cin >> n; for (int i = 1; i <= n; ++i) { cin >> a[i] >> b[i]; g[a[i]].emplace_back(b[i], i); } set<pair<int, int>> st; for (int i = 1; i <= n; ++i) { st.insert(g[i].begin(), g[i].end()); p[i] = st.begin()->second; st.erase(st.begin()); } set<int> ps; for (int i = 1; i <= n; ++i) ps.insert(i); for (int i = 1; i <= n; ++i) { if (!ps.count(i)) continue; function<bool(int)> dfs; dfs = [&](int u) -> bool { int ut = p[u], v; for (auto it = ps.lower_bound(a[ut]); it != ps.end() && (v = *it) <= b[ut]; it = ps.upper_bound(v)) { if (v == u) continue; if (pa[v]) { cout << "NO\n"; output(); for (; u != v; u = pa[u]) { p[u] = p[pa[u]]; } p[v] = ut; output(); return true; } pa[v] = u; if (dfs(v)) return true; pa[v] = 0; ps.erase(v); } return false; }; pa[i] = i; if (dfs(i)) return 0; pa[i] = 0; ps.erase(i); } cout << "YES\n"; output(); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 2e5 + 7; priority_queue<pair<int, int> > Q; int id[maxn], reid[maxn]; int idtonum[maxn]; int lef[maxn], rght[maxn]; struct node { int l, r, id; } Node[maxn]; bool cmp(node a, node b) { if (a.l == b.l) return a.r < b.r; return a.l < b.l; } queue<int> output; int main() { int n; scanf("%d", &n); for (int i = 1; i <= n; i++) scanf("%d%d", &Node[i].l, &Node[i].r), Node[i].id = i, lef[i] = Node[i].l, rght[i] = Node[i].r; sort(Node + 1, Node + 1 + n, cmp); int pos = 1; for (int i = 1; i <= n; i++) { while (Node[pos].l == i) { Q.push(make_pair(-Node[pos].r, Node[pos].id)); pos++; } int fval, sval; fval = -Q.top().first; sval = Q.top().second; Q.pop(); id[sval] = i; reid[i] = sval; idtonum[sval] = i; } for (int i = 1; i <= n; i++) output.push(id[i]); bool flag = true; for (int i = 1; i < n; i++) { int numrgh = rght[reid[i]]; int numlef = lef[reid[i + 1]]; if (i >= numlef && i + 1 <= numrgh) { swap(id[reid[i]], id[reid[i + 1]]); flag = false; break; } } if (flag) { sort(Node + 1, Node + 1 + n, cmp); for (int i = 1; i < n; i++) { int numrgh = min(Node[i].r, Node[i + 1].r); int numlef = max(Node[i + 1].l, Node[i].l); int idfst = id[Node[i].id], idscd = id[Node[i + 1].id]; if (numlef < numrgh && idfst >= numlef && idfst <= numrgh && idscd >= numlef && idscd <= numrgh) { swap(id[Node[i].id], id[Node[i + 1].id]); flag = false; break; } } } if (flag) { cout << "YES" << endl; int outputflag = false; while (!output.empty()) { if (outputflag) cout << " "; outputflag = true; cout << output.front(); output.pop(); } cout << endl; } else { cout << "NO" << endl; int outputflag = false; while (!output.empty()) { if (outputflag) cout << " "; outputflag = true; cout << output.front(); output.pop(); } cout << endl; for (int i = 1; i <= n; i++) { if (i != 1) cout << " "; cout << id[i]; } cout << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; int n, a[206000], b[206000], ans[206000], p[206000]; vector<pair<int, int> > v[206000]; struct node { int id, val; } tree[1009000]; void build(int i, int l, int r) { if (l == r) { tree[i].id = l; tree[i].val = a[p[l]]; return; } int mid = (l + r) >> 1; build(i << 1, l, mid); build(i << 1 | 1, mid + 1, r); if (tree[i << 1].val < tree[i << 1 | 1].val) tree[i] = tree[i << 1]; else tree[i] = tree[i << 1 | 1]; } node q; void query(int i, int l, int r, int x, int y) { if (r < x || l > y) return; if (r <= y && x <= l) { if (tree[i].val < q.val) q = tree[i]; return; } int mid = (l + r) >> 1; query(i << 1, l, mid, x, y); query(i << 1 | 1, mid + 1, r, x, y); } int main() { cin >> n; for (int i = 1; i <= n; ++i) { int l, r; scanf("%d%d", &l, &r); a[i] = l; b[i] = r; v[l].push_back(make_pair(r, i)); } set<pair<int, int> > st; for (int i = 1; i <= n; ++i) { st.insert(v[i].begin(), v[i].end()); int y = (*st.begin()).second; st.erase(st.begin()); ans[y] = i; p[i] = y; } build(1, 1, n); for (int i = 1; i <= n; ++i) { if (i + 1 > b[p[i]]) continue; q.val = 99999999; query(1, 1, n, i + 1, b[p[i]]); if (q.val <= i) { cout << "NO" << endl; for (int j = 1; j <= n; ++j) printf("%d%c", ans[j], j == n ? '\n' : ' '); swap(ans[p[i]], ans[p[q.id]]); for (int j = 1; j <= n; ++j) printf("%d%c", ans[j], j == n ? '\n' : ' '); return 0; } } cout << "YES" << endl; for (int i = 1; i <= n; ++i) printf("%d%c", ans[i], i == n ? '\n' : ' '); return 0; }
#include <bits/stdc++.h> #pragma GCC optimize(2) using namespace std; const int N = 2e5 + 5; const int M = 3005; const int inf = 0x3f3f3f3f; const int mod = 300; const double eps = 1e-9; const long double pi = acos(-1.0L); long long read() { long long x = 0, t = 1; char ch; while (!isdigit(ch = getchar())) if (ch == '-') t = -1; while (isdigit(ch)) { x = 10 * x + ch - '0'; ch = getchar(); } return x * t; } struct node { int x, y; node() {} node(int X, int Y) { x = X; y = Y; } friend bool operator<(node t1, node t2) { return t1.x > t2.x; } }; int c[N << 2], L[N], R[N], id[N], pos[N]; vector<node> a[N]; priority_queue<node> q; void build(int i, int l, int r) { if (l == r) { c[i] = L[id[l]]; return; } int mid = l + r >> 1; build((i << 1), l, mid); build((i << 1 | 1), mid + 1, r); c[i] = min(c[(i << 1)], c[(i << 1 | 1)]); } int query(int i, int l, int r, int ll, int rr) { if (ll <= l && r <= rr) return c[i]; int mid = l + r >> 1; int t1 = inf, t2 = inf; if (mid >= ll) t1 = query((i << 1), l, mid, ll, rr); if (mid < rr) t2 = query((i << 1 | 1), mid + 1, r, ll, rr); return min(t1, t2); } int main() { int n = read(); for (int i = 1; i <= n; i++) { L[i] = read(); R[i] = read(); a[L[i]].push_back(node(R[i], i)); } for (int i = 1; i <= n; i++) { for (auto x : a[i]) q.push(x); id[i] = q.top().y; pos[id[i]] = i; q.pop(); } build(1, 1, n); for (int i = 1; i <= n; i++) { int tmp = inf; if (i < R[id[i]]) tmp = query(1, 1, n, i + 1, R[id[i]]); if (tmp <= i) { int j; for (j = i + 1; j <= R[id[i]]; j++) if (L[id[j]] <= i) break; printf("NO\n"); for (int j = 1; j <= n; j++) printf("%d%c", pos[j], j == n ? '\n' : ' '); swap(pos[id[i]], pos[id[j]]); for (int j = 1; j <= n; j++) printf("%d%c", pos[j], j == n ? '\n' : ' '); return 0; } } printf("YES\n"); for (int j = 1; j <= n; j++) printf("%d%c", pos[j], j == n ? '\n' : ' '); return 0; }
#include <bits/stdc++.h> using namespace std; int N; int a[200005], b[200005]; int label[200005]; int label2[200005]; void perfectMatch() { deque<pair<pair<int, int>, int>> v; for (int i = 1; i <= N; i++) v.push_back({{a[i], b[i]}, i}); sort(v.begin(), v.end()); multiset<pair<int, int>> mst; for (int i = 1; i <= N; i++) { while ((int)v.size() > 0 && v[0].first.first <= i) { mst.insert({v[0].first.second, v[0].second}); v.pop_front(); } label2[i] = mst.begin()->second; label[mst.begin()->second] = i; mst.erase(mst.find(*mst.begin())); } } set<int> active; int vis[200005]; int from[200005]; int ans[200005]; void foundAnother(int node, int nextNode) { vector<int> v; int cur = node; while (cur != label2[nextNode]) { v.push_back(cur); cur = from[cur]; } reverse(v.begin(), v.end()); v.push_back(label2[nextNode]); reverse(v.begin(), v.end()); cout << "NO" << endl; for (int i = 1; i <= N; i++) cout << label[i] << ' '; cout << endl; for (int i = 1; i <= N; i++) ans[i] = label[i]; int temp = ans[v.back()]; for (int i = 0; i < (int)v.size(); i++) swap(temp, ans[v[i]]); for (int i = 1; i <= N; i++) cout << ans[i] << ' '; cout << endl; exit(0); } void dfs(int node) { vis[node] = 1; queue<int> toRemove; for (;;) { auto it = active.lower_bound(a[node]); if (it != active.end() && *it == label[node]) { toRemove.push(*it); it++; } if (it == active.end() || *it > b[node]) break; if (vis[label2[*it]] == 1) foundAnother(node, *it); toRemove.push(*it); if (vis[label2[*it]] == 2) continue; from[label2[*it]] = node; dfs(label2[*it]); } while (!toRemove.empty()) { if (active.count(toRemove.front())) active.erase(toRemove.front()); toRemove.pop(); } vis[node] = 2; } int main() { cin >> N; for (int i = 1; i <= N; i++) cin >> a[i] >> b[i]; perfectMatch(); for (int i = 1; i <= N; i++) active.insert(i); for (int i = 1; i <= N; i++) if (vis[i] == 0) dfs(i); cout << "YES" << endl; for (int i = 1; i <= N; i++) cout << label[i] << ' '; cout << endl; }
#include <bits/stdc++.h> using namespace std; long long int mod = 1000000007; long long int INF = 1e18; long long int po(long long int a, long long int b) { long long int re = 1; while (b) { if (b % 2 == 1) { re = (re * a); re %= mod; } a = (a * a); a %= mod; b >>= 1; } return re; } struct arr { int i; int a, b; }; bool che(arr a, arr b) { if (a.a == b.a) return a.b < b.b; return a.a < b.a; } pair<int, int> t[800100]; void update(int v, int tl, int tr, int pos, int new_val, int p) { if (tl == tr) { t[v] = make_pair(new_val, p); } else { int tm = (tl + tr) / 2; if (pos <= tm) update(v * 2, tl, tm, pos, new_val, p); else update(v * 2 + 1, tm + 1, tr, pos, new_val, p); t[v] = min(t[2 * v], t[2 * v + 1]); } return; } pair<int, int> sum(int v, int tl, int tr, int l, int r) { if (l > r) return make_pair(1000000, 0); if (l == tl && r == tr) { return t[v]; } int tm = (tl + tr) / 2; return min(sum(v * 2, tl, tm, l, min(r, tm)), sum(v * 2 + 1, tm + 1, tr, max(l, tm + 1), r)); } int main() { int test = 1; while (test--) { int n; cin >> n; arr a[n]; int backup[n]; for (int i = (0); i < (n); i++) { cin >> a[i].a >> a[i].b; a[i].i = i; backup[i] = a[i].a; } sort(a, a + n, che); pair<int, int> u; set<pair<int, int> > fil; int ar[n], br[n]; int j = 0; for (int i = (0); i < (n); i++) { while (j < n && a[j].a == i + 1) { fil.insert(make_pair(a[j].b, a[j].i)); j++; } u = *fil.begin(); fil.erase(u); ar[u.second] = i + 1; br[u.second] = i + 1; update(1, 0, n, i + 1, backup[u.second], u.second); } bool f = 0; for (int i = (0); i < (n); i++) { u = sum(1, 0, n, ar[a[i].i] + 1, a[i].b); if (u.first <= ar[a[i].i]) { swap(br[a[i].i], br[u.second]); f = 1; break; } } if (f) { cout << "NO\n"; for (int i = (0); i < (n); i++) cout << ar[i] << ' '; cout << '\n'; for (int i = (0); i < (n); i++) cout << br[i] << ' '; } else { cout << "YES\n"; for (int i = (0); i < (n); i++) cout << ar[i] << ' '; } } return 0; }
#include <bits/stdc++.h> using namespace std; const int MOD = 998244353; const int N = 2e5 + 5; tuple<int, int, int> P[N]; void output(vector<int> &res, int n) { vector<int> a(n); for (int i = 0; i < res.size(); i++) { a[res[i]] = i + 1; } for (int i = 0; i < n; i++) { if (i != 0) cout << " "; cout << a[i]; } cout << "\n"; } void solve() { int n; cin >> n; for (int i = 0; i < n; i++) { int a, b; cin >> a >> b; P[i] = {a - 1, b - 1, i}; } sort(P, P + n); int pos = 0; int p = 0; set<tuple<int, int, int>> ss; vector<int> res; while (pos < n) { while (p < n && get<0>(P[p]) <= pos) { ss.insert({get<1>(P[p]), get<2>(P[p]), get<0>(P[p])}); p++; } int l, r, idx; tie(r, idx, l) = *ss.begin(); res.push_back(idx); ss.erase(ss.begin()); pos++; } vector<int> res2 = res; bool hasT = false; ss.clear(); set<int> sa; vector<int> idxToP(n); for (int i = 0; i < n; i++) { idxToP[get<2>(P[i])] = i; }; for (int i = 0; i < n; i++) { int p = idxToP[res[i]]; if (ss.size() > 0) ; while (ss.size() > 0 && get<0>(*ss.begin()) < i) { int t1 = get<2>(*ss.begin()); ; sa.erase(t1); ss.erase(ss.begin()); } if (sa.size() > 0 && *sa.rbegin() >= get<0>(P[p])) { hasT = true; int l = *sa.rbegin(); swap(res2[i], res2[l]); break; } else { ss.insert({get<1>(P[p]), p, i}); sa.insert(i); } } if (hasT) { ; ; cout << "NO\n"; output(res, n); output(res2, n); } else { cout << "YES\n"; output(res, n); } } int main() { std::ios::sync_with_stdio(false); cin.tie(NULL); cout.precision(10); int T = 1; for (int i = 1; i <= T; i++) { solve(); } cout.flush(); return 0; }
#include <bits/stdc++.h> using namespace std; const int inf = 1e9 + 10; const int maxn = 2e5 + 10; int n, ans[maxn], root, topt, lc[maxn]; struct da { int a, b, id; } q[maxn]; struct daa { int lc, rc, mi, id; } a[4 * maxn]; priority_queue<pair<int, int> > qq; inline bool cmp(da aa, da bb) { if (aa.a == bb.a) return aa.b < bb.b; return aa.a < bb.a; } void build_tree(int &n, int l, int r) { n = ++topt; a[n].mi = inf; if (l == r) return; int mid = (l + r) >> 1; build_tree(a[n].lc, l, mid); build_tree(a[n].rc, mid + 1, r); } void updata(int n) { if (a[a[n].lc].mi < a[a[n].rc].mi) a[n].mi = a[a[n].lc].mi, a[n].id = a[a[n].lc].id; else a[n].mi = a[a[n].rc].mi, a[n].id = a[a[n].rc].id; } void tree_add(int n, int l, int r, int lc, int k, int idd) { if (l == r) { a[n].mi = k; a[n].id = idd; return; } int mid = (l + r) >> 1; if (lc <= mid) tree_add(a[n].lc, l, mid, lc, k, idd); else tree_add(a[n].rc, mid + 1, r, lc, k, idd); updata(n); } daa qury(int n, int L, int R, int l, int r) { if (L == l && R == r) return a[n]; int mid = (L + R) >> 1; if (r <= mid) return qury(a[n].lc, L, mid, l, r); else if (l >= mid + 1) return qury(a[n].rc, mid + 1, R, l, r); else { daa now1 = qury(a[n].lc, L, mid, l, mid); daa now2 = qury(a[n].rc, mid + 1, R, mid + 1, r); if (now1.mi < now2.mi) return now1; else return now2; } } int main() { scanf("%d", &n); for (int i = 1; i <= n; i++) scanf("%d%d", &q[i].a, &q[i].b), q[i].id = i; sort(q + 1, q + n + 1, cmp); build_tree(root, 1, n); int p = 0; for (int i = 1; i <= n; i++) { while (p + 1 <= n && q[p + 1].a <= i) p++, qq.push(make_pair(-q[p].b, p)); pair<int, int> now = qq.top(); qq.pop(); ans[q[now.second].id] = i; lc[i] = now.second; } for (int i = 1; i <= n; i++) tree_add(root, 1, n, i, q[lc[i]].a, q[lc[i]].id); for (int i = 1; i <= n; i++) { tree_add(root, 1, n, i, inf, 0); daa now = qury(root, 1, n, i, q[lc[i]].b); if (now.mi <= i) { printf("NO\n"); for (int j = 1; j <= n; j++) printf("%d%c", ans[j], (j == n ? '\n' : ' ')); swap(ans[q[lc[i]].id], ans[now.id]); for (int j = 1; j <= n; j++) printf("%d%c", ans[j], (j == n ? '\n' : ' ')); return 0; } tree_add(root, 1, n, i, q[i].a, q[i].id); } printf("YES\n"); for (int i = 1; i <= n; i++) printf("%d%c", ans[i], (i == n ? '\n' : ' ')); return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; using ld = long double; const ll MOD = 998244353; int gcd(int a, int b) { return b ? gcd(b, a % b) : a; } ll binpow(ll a, ll b) { ll res = 1; while (b) { if (b & 1) res = (res * a) % MOD; a = (a * a) % MOD; b >>= 1; } return res; } ll modInv(ll a) { return binpow(a, MOD - 2); } const double PI = acos(-1); const int INF = 0x3f3f3f3f; const int NINF = 0xc0c0c0c0; const ll INFLL = 0x3f3f3f3f3f3f3f3f; const ll NINFLL = 0xc0c0c0c0c0c0c0c0; const int mxN = 200001; pair<int, int> arr[mxN]; pair<pair<int, int>, int> nn[mxN]; int ans[mxN]; int rans[mxN]; int n; int sgmin[2 * mxN]; int sgmax[2 * mxN]; void init() { for (int i = (n); i < (2 * n); ++i) { sgmin[i] = arr[rans[i - n]].first; sgmax[i] = arr[rans[i - n]].second; } for (int i = (n)-1; i >= (1); --i) { sgmin[i] = min(sgmin[i << 1], sgmin[i << 1 | 1]); sgmax[i] = max(sgmax[i << 1], sgmax[i << 1 | 1]); } } int qmax(int l, int r) { r++; int res = -1; for (l += n, r += n; l < r; l >>= 1, r >>= 1) { if (l & 1) res = max(res, sgmax[l++]); if (r & 1) res = max(res, sgmax[--r]); } return res; } int qmin(int l, int r) { r++; int res = INF; for (l += n, r += n; l < r; l >>= 1, r >>= 1) { if (l & 1) res = min(res, sgmin[l++]); if (r & 1) res = min(res, sgmin[--r]); } return res; } int main() { mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); cin.tie(0)->sync_with_stdio(0); cin >> n; for (int i = (0); i < (n); ++i) { cin >> arr[i].first >> arr[i].second; arr[i].first--; arr[i].second--; nn[i].first = arr[i]; nn[i].second = i; } sort(nn, nn + n); int idx = 0; priority_queue<pair<int, int>, vector<pair<int, int>>, greater<pair<int, int>>> pq; for (int i = (0); i < (n); ++i) { while (idx < n && nn[idx].first.first == i) { pq.push({nn[idx].first.second, nn[idx].second}); idx++; } ans[pq.top().second] = i; rans[i] = pq.top().second; pq.pop(); } pair<int, int> swp = {-1, -1}; init(); for (int i = (0); i < (n); ++i) { int l = arr[rans[i]].first; int r = arr[rans[i]].second; if (qmax(l, i - 1) >= i) { for (int j = (l); j < (i); ++j) { if (arr[rans[j]].second >= i) { swp = {rans[j], rans[i]}; break; } } break; } if (qmin(i + 1, r) <= i) { for (int j = (i + 1); j < (r + 1); ++j) { if (arr[rans[j]].first <= i) { swp = {rans[j], rans[i]}; break; } } break; } } if (swp.first == swp.second) { cout << "YES\n"; for (int i = (0); i < (n); ++i) { cout << (ans[i] + 1) << " "; } } else { cout << "NO\n"; for (int i = (0); i < (n); ++i) { cout << (ans[i] + 1) << " "; } cout << "\n"; swap(ans[swp.first], ans[swp.second]); for (int i = (0); i < (n); ++i) { cout << (ans[i] + 1) << " "; } } return 0; }
#include <bits/stdc++.h> using namespace std; const int LEN = 100000; struct fastio { int it, len; char s[LEN + 5]; fastio() { it = len = 0; } char get() { if (it < len) return s[it++]; it = 0, len = fread(s, 1, LEN, stdin); return len ? s[it++] : EOF; } bool notend() { char c; for (c = get(); c == ' ' || c == '\n' || c == '\r'; c = get()) ; if (it) it--; return c != EOF; } void put(char c) { if (it == LEN) fwrite(s, 1, LEN, stdout), it = 0; s[it++] = c; } void flush() { fwrite(s, 1, it, stdout); } } buff; inline int getint() { char c; int res = 0, sig = 1; for (c = buff.get(); c < '0' || c > '9'; c = buff.get()) if (c == '-') sig = -1; for (; c >= '0' && c <= '9'; c = buff.get()) res = res * 10 + (c - '0'); return sig * res; } inline long long getll() { char c; long long res = 0, sig = 1; for (c = buff.get(); c < '0' || c > '9'; c = buff.get()) if (c == '-') sig = -1; for (; c >= '0' && c <= '9'; c = buff.get()) res = res * 10 + (c - '0'); return sig * res; } int n; vector<int> ans1, ans2; struct Info { int a, b, id; bool operator<(const Info &x) const { return make_pair(a, b) < make_pair(x.a, x.b); } } m[200005], chk[200005]; bool cmpid(Info x, Info y) { return x.id < y.id; } int t[18][200005]; int qmin(int l, int r) { if (l > r) return n + 1; int ro = 31 - __builtin_clz(r - l); return min(t[ro][l], t[ro][r - (1 << ro) + 1]); } int main() { n = getint(); ans1.resize(n + 1); ans2.resize(n + 1); for (int i = 1; i <= n; i++) { m[i].a = getint(), m[i].b = getint(), m[i].id = i; } sort(m + 1, m + n + 1); priority_queue<pair<int, int>, vector<pair<int, int> >, greater<pair<int, int> > > que; int k = 1; for (int i = 1; i <= n; i++) { while (k <= n && m[k].a == i) { que.push(make_pair(m[k].b, m[k].id)); k++; } ans1[que.top().second] = i; que.pop(); } ans2 = ans1; sort(m + 1, m + n + 1, cmpid); for (int i = 1; i <= n; i++) chk[ans1[i]] = (Info){m[i].a, m[i].b, i}; for (int i = 1; i <= n; i++) t[0][i] = chk[i].a; for (int i = 1; i <= 17; i++) { for (int j = 1; j + (1 << i) - 1 <= n; j++) { t[i][j] = min(t[i - 1][j], t[i - 1][j + (1 << (i - 1))]); } } bool ok = true; for (int i = n; i >= 1; i--) { if (chk[i].b == i) continue; int mini = qmin(i + 1, chk[i].b); if (mini > i) continue; for (int j = i + 1; j <= chk[i].b; j++) { if (chk[j].a <= i) { swap(ans2[chk[i].id], ans2[chk[j].id]); break; } } ok = false; break; } if (ok) { puts("YES"); for (int i = 1; i <= n; i++) printf("%d%c", ans1[i], i == n ? '\n' : ' '); } else { puts("NO"); for (int i = 1; i <= n; i++) printf("%d%c", ans1[i], i == n ? '\n' : ' '); for (int i = 1; i <= n; i++) printf("%d%c", ans2[i], i == n ? '\n' : ' '); } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 2e5 + 7; const int K = 22; namespace SP { int p[N]; int sp[K][N]; int n; vector<int> a; void run() { for (int i = 0; i < n; i++) { sp[0][i] = i; } for (int i = 0; i + 1 < K; i++) { for (int j = 0; j + (2 << i) <= n; j++) { if (a[sp[i][j]] > a[sp[i][j + (1 << i)]]) { sp[i + 1][j] = sp[i][j + (1 << i)]; } else { sp[i + 1][j] = sp[i][j]; } } } p[1] = 0; for (int i = 2; i <= n; i++) { p[i] = p[i / 2] + 1; } } void init(vector<int> a_) { a = a_; n = (int)a.size(); run(); } int min(int l, int r) { int pw = p[r - l]; int f = sp[pw][l]; int s = sp[pw][r - (1 << pw)]; if (a[f] < a[s]) return f; else return s; } } // namespace SP signed main() { ios_base::sync_with_stdio(false); cin.tie(0); int n; cin >> n; vector<int> a(n); vector<int> b(n); vector<vector<pair<int, int>>> op(n); for (int i = 0; i < n; i++) { cin >> a[i] >> b[i]; a[i]--; b[i]--; op[a[i]].push_back({b[i], i}); } vector<int> p(n); priority_queue<pair<int, int>, vector<pair<int, int>>, greater<pair<int, int>>> q; for (int i = 0; i < n; i++) { for (auto t : op[i]) { q.push(t); } auto tp = q.top(); q.pop(); p[tp.second] = i; while (!q.empty() && q.top().first == i) { q.pop(); } } vector<int> wr(n); vector<int> pa(n); for (int i = 0; i < n; i++) { pa[p[i]] = a[i]; wr[p[i]] = i; } SP::init(pa); for (int i = 0; i < n; i++) { if (p[i] == b[i]) continue; int vl = SP::min(p[i] + 1, b[i] + 1); if (a[wr[vl]] <= p[i]) { cout << "NO\n"; for (auto t : p) { cout << t + 1 << ' '; } cout << '\n'; swap(p[i], p[wr[vl]]); for (auto t : p) { cout << t + 1 << ' '; } cout << '\n'; return 0; } } cout << "YES\n"; for (auto t : p) { cout << t + 1 << ' '; } cout << '\n'; }
#include <bits/stdc++.h> using namespace std; const int maxn = 210000; vector<int> arr[maxn]; vector<int> parent(maxn); vector<int> siz(maxn, 1); vector<int> max_rep(maxn, -1); int find_rep(int v) { if (parent[v] == v) return v; return parent[v] = find_rep(parent[v]); } void union_set(int a, int b) { int ra = find_rep(a); int rb = find_rep(b); if (ra != rb) { if (siz[ra] < siz[rb]) swap(ra, rb); parent[rb] = ra; int mx = max(max_rep[ra], max_rep[rb]); max_rep[ra] = max_rep[rb] = mx; siz[ra] += siz[rb]; } } int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr); for (int i = 1; i < maxn; i++) parent[i] = i, max_rep[i] = i; int n; cin >> n; vector<pair<int, int>> a(n); map<pair<int, int>, queue<int>> ans; for (auto& i : a) cin >> i.first >> i.second, arr[i.second].emplace_back(i.first); for (int i = 1; i <= n; i++) sort(arr[i].begin(), arr[i].end()); vector<pair<int, int>> pr(n); vector<int> b(n); for (int i = 1; i <= n; i++) for (int& k : arr[i]) { int x = max_rep[find_rep(k)]; union_set(x, x + 1); assert(x <= i); ans[{k, i}].push(x); } for (int i = 0; i < n; i++) { b[i] = ans[a[i]].front(); ans[a[i]].pop(); pr[b[i] - 1] = a[i]; } map<pair<int, int>, int> mp; for (auto& k : a) { if (mp[k]) { cout << "NO\n"; int index1 = -1, index2 = -1; for (int i = 0; i < n; i++) { if (a[i] == k) { if (index1 == -1) { index1 = i; continue; } if (index1 != -1 && index2 == -1) index2 = i; else break; } } for (int i = 0; i < n; i++) cout << b[i] << ' '; cout << '\n'; swap(b[index1], b[index2]); for (int i = 0; i < n; i++) cout << b[i] << ' '; cerr << "\n\nTime elapsed: " << 1000.00 * clock() / CLOCKS_PER_SEC << " ms.\n"; return 0; } mp[k]++; } bool flag = false; auto check = [](const pair<int, int>& p, int it) -> bool { return it >= p.first && it <= p.second; }; int ni = -1; for (int i = 0; i < n - 1; i++) { if (check(pr[i + 1], i + 1) && check(pr[i], i + 2)) { flag = true; ni = i + 1; break; } } if (!flag) cout << "YES\n"; else cout << "NO\n"; for (int& i : b) cout << i << ' '; if (flag) { cout << '\n'; for (int& i : b) { if (ni == i) cout << i + 1 << ' '; else if (ni + 1 == i) cout << i - 1 << ' '; else cout << i << ' '; } } cerr << "\n\nTime elapsed: " << 1000.00 * clock() / CLOCKS_PER_SEC << " ms.\n"; return 0; }
#include <bits/stdc++.h> using namespace std; long long int mod = 998244353; const long double error = 2e-6; const long double PI = acosl(-1); mt19937 rng((unsigned)chrono::system_clock::now().time_since_epoch().count()); inline long long int MOD(long long int x, long long int m = mod) { long long int y = x % m; return (y >= 0) ? y : y + m; } const int inf = 1e9; const long long int infl = 1061109567; const int nmax = 2e5 + 10; int L[nmax], R[nmax]; int indice[nmax], ans[nmax]; vector<int> start[nmax]; const int lgn = 32 - __builtin_clz(nmax); int sparse[nmax][lgn]; void buildsparse(int n) { for (int i = 1; i <= n; i++) sparse[i][0] = indice[i]; for (int k = 1, p = 1; k < lgn; k++, p <<= 1) for (int i = 1; i + p + p <= n + 1; i++) sparse[i][k] = ((L[sparse[i][k - 1]] < L[sparse[i + p][k - 1]]) ? (sparse[i][k - 1]) : (sparse[i + p][k - 1])); } int query(int l, int r) { int len = r - l + 1; int k = 32 - __builtin_clz(len) - 1; return ((L[sparse[l][k]] < L[sparse[r - (1 << k) + 1][k]]) ? (sparse[l][k]) : (sparse[r - (1 << k) + 1][k])); } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); ; int n; cin >> n; for (int i = 1; i <= n; i++) { cin >> L[i] >> R[i]; start[L[i]].push_back(i); } priority_queue<pair<int, int>> pq; int cur = 1; while (cur <= n) { for (int x : start[cur]) pq.push({-R[x], x}); int x = pq.top().second; pq.pop(); indice[cur] = x; cur++; } for (int i = 1; i <= n; i++) ans[indice[i]] = i; buildsparse(n); int s1 = 0, s2 = 0; for (int i = 1; i <= n; i++) { int x = indice[i]; int r = R[x]; if (i == r) continue; int y = query(i + 1, r); if (L[y] <= i) { s1 = x, s2 = y; break; } } if (s1) cout << "NO\n"; else cout << "YES\n"; for (int i = 1; i <= n; i++) cout << ans[i] << " "; cout << endl; if (s1 == 0) return 0; swap(ans[s1], ans[s2]); for (int i = 1; i <= n; i++) cout << ans[i] << " "; cout << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int INF = 1e9 + 7; int as[200005], bs[200005]; vector<pair<int, int> > start[200005]; int ans[200005]; int where[200005]; int N; void show() { for (int i = 1; i <= N; i++) cout << ans[i] << ' '; cout << endl; } pair<int, int> st[400005]; int query(int l, int r) { l--; pair<int, int> res{INF, INF}; for (l += N, r += N; l < r; l >>= 1, r >>= 1) { if (l & 1) res = min(res, st[l++]); if (r & 1) res = min(res, st[--r]); } return res.second; } int main() { cin >> N; for (int i = 1; i <= N; i++) { cin >> as[i] >> bs[i]; start[as[i]].push_back({bs[i], i}); } set<pair<int, int> > active; for (int i = 1; i <= N; i++) { active.insert(start[i].begin(), start[i].end()); ans[active.begin()->second] = i; where[i] = active.begin()->second; active.erase(active.begin()); } for (int i = 0; i < N; i++) { st[i + N] = {as[where[i + 1]], i + 1}; } for (int i = N - 1; i > 0; i--) { st[i] = min(st[i << 1], st[i << 1 | 1]); } for (int i = 1; i <= N; i++) { int j = query(i + 1, bs[where[i]]); if (j == INF) continue; if (as[where[j]] <= i) { cout << "NO" << endl; show(); swap(ans[where[i]], ans[where[j]]); show(); return 0; } } cout << "YES" << endl; show(); }
#include <bits/stdc++.h> using namespace std; const int N = 2e5 + 5, inf = 1e9 + 7; set<pair<int, int> > hllw; vector<pair<int, int> > vec[200005]; int n, A[200005], B[200005]; int ans[200005], where[200005]; pair<int, int> st[400005]; int query(int l, int r) { l--; pair<int, int> res; res.first = inf; res.second = inf; for (l += n, r += n; l < r; l >>= 1, r >>= 1) { if (l & 1) res = min(res, st[l++]); if (r & 1) res = min(res, st[--r]); } return res.second; } void cout_ans() { for (int i = 1; i <= n; i++) cout << ans[i] << " "; cout << endl; } int main() { cin >> n; for (int i = 1; i <= n; i++) { cin >> A[i] >> B[i]; vec[A[i]].push_back(make_pair(B[i], i)); } cout << endl; for (int i = 1; i <= n; i++) { hllw.insert(vec[i].begin(), vec[i].end()); ans[hllw.begin()->second] = i; where[i] = hllw.begin()->second; hllw.erase(hllw.begin()); } for (int i = 0; i < n; i++) { st[i + n].first = A[where[i + 1]]; st[i + n].second = i + 1; } for (int i = n - 1; i > 0; i--) { st[i] = min(st[i << 1 | 1], st[i << 1]); } for (int i = 1; i <= n; i++) { int j = query(i + 1, B[where[i]]); if (j == inf) continue; if (A[where[j]] <= i) { cout << "NO" << endl; cout_ans(); swap(ans[where[i]], ans[where[j]]); cout_ans(); return 0; } } cout << "YES" << endl; cout_ans(); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 212345; const int inf = 0x3f3f3f3f; inline int lowbit(int x) { return x & -x; } int n; int fen[maxn], id[maxn], l[maxn], r[maxn], ans[maxn]; vector<pair<int, int> > G[maxn]; void upd(int x, int v) { while (x <= n) { fen[x] = min(fen[x], v); x += lowbit(x); } } int query(int x) { int ret = inf; while (x > 0) { ret = min(ret, fen[x]); x -= lowbit(x); } return ret; } int main() { scanf("%d", &n); for (int(i) = (1); (i) <= (n); (i)++) { scanf("%d%d", l + i, r + i); G[l[i]].emplace_back(r[i], i); } set<pair<int, int> > s; for (int(i) = (1); (i) <= (n); (i)++) { for (auto _ : G[i]) s.emplace(_); if (!s.empty() && s.begin()->first >= i) { ans[s.begin()->second] = i; id[i] = s.begin()->second; s.erase(s.begin()); } } memset(fen, 0x3f, sizeof(fen)); for (int(i) = (n); (i) >= (1); (i)--) { if (query(r[id[i]]) <= i) for (int(j) = (i + 1); (j) <= (n); (j)++) if (l[id[j]] <= i) { puts("NO"); for (int(k) = (1); (k) <= (n); (k)++) printf("%d ", ans[k]); putchar('\n'); swap(ans[id[i]], ans[id[j]]); for (int(k) = (1); (k) <= (n); (k)++) printf("%d ", ans[k]); return 0; } upd(i, l[id[i]]); } puts("YES"); for (int(i) = (1); (i) <= (n); (i)++) printf("%d ", ans[i]); }
#include <bits/stdc++.h> using namespace std; pair<int, int> st[1000005], mn; pair<pair<int, int>, int> a[200005]; pair<int, pair<pair<int, int>, int> > b[200005]; int n, kq[200005]; set<int> s; void update(int id, int l, int r, int vt, pair<int, int> gt) { if (l > r || l > vt || r < vt) return; if (l == r) { st[id] = min(st[id], gt); return; } int mid = (l + r) / 2; update(id * 2, l, mid, vt, gt); update(id * 2 + 1, mid + 1, r, vt, gt); st[id] = min(st[id * 2], st[id * 2 + 1]); } pair<int, int> get(int id, int l, int r, int u, int v) { if (l > r || l > v || r < u) return {1e9, 0}; if (l >= u && r <= v) return st[id]; int mid = (l + r) / 2; return min(get(id * 2, l, mid, u, v), get(id * 2 + 1, mid + 1, r, u, v)); } bool cmp(pair<pair<int, int>, int> x, pair<pair<int, int>, int> y) { if (x.first.second != y.first.second) return x.first.second < y.first.second; return x.first.first < y.first.first; } void build(int id, int l, int r) { if (l > r) return; st[id] = {1e9, 0}; if (l == r) return; int mid = (l + r) / 2; build(id * 2, l, mid); build(id * 2 + 1, mid + 1, r); } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); cin >> n; for (int i = 1; i <= n; ++i) { cin >> a[i].first.first >> a[i].first.second; a[i].second = i; } sort(a + 1, a + n + 1, cmp); for (int i = 1; i <= n; ++i) s.insert(i); for (int i = 1; i <= n; ++i) { kq[a[i].second] = (*s.lower_bound(a[i].first.first)); s.erase(kq[a[i].second]); b[i] = {kq[a[i].second], a[i]}; } build(1, 1, n); sort(b + 1, b + n + 1); for (int i = n; i > 0; --i) { mn = get(1, 1, n, b[i].first + 1, b[i].second.first.second); if (mn.first <= b[i].first) { cout << "NO" << '\n'; for (int i = 1; i <= n; ++i) cout << kq[i] << ' '; cout << '\n'; swap(kq[b[i].second.second], kq[b[mn.second].second.second]); for (int i = 1; i <= n; ++i) cout << kq[i] << ' '; return 0; } update(1, 1, n, b[i].first, {b[i].second.first.first, i}); } cout << "YES" << '\n'; for (int i = 1; i <= n; ++i) cout << kq[i] << ' '; return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 200010; struct P { int l, r, id; } p[MAXN]; struct cmp { bool operator()(P a, P b) { return a.r > b.r; } }; int n, a[MAXN], b[MAXN], xl[MAXN], xr[MAXN], rev[MAXN]; bool cmp1(P a, P b) { return a.l < b.l; } bool cmp2(P a, P b) { return a.r > b.r; } priority_queue<P, vector<P>, cmp> q, q2; multiset<int> ms; int main() { scanf("%d", &n); for (int i = 1; i <= n; i++) { scanf("%d%d", &p[i].l, &p[i].r); p[i].id = i; } multiset<int>::iterator it; sort(p + 1, p + n + 1, cmp1); int cur = 1, flg = 0; for (int i = 1; i <= n; i++) { while (cur <= n && p[cur].l <= i) { q.push(p[cur]); cur++; } P tmp = q.top(); q.pop(); a[tmp.id] = b[tmp.id] = i, xl[tmp.id] = tmp.l, xr[tmp.id] = tmp.r, rev[i] = tmp.id; q2.push(tmp); while (!q2.empty() && q2.top().r < i) { P tmp2 = q2.top(); q2.pop(); it = ms.find(a[tmp2.id]); ms.erase(it); } if (!ms.empty() && !flg) { it = ms.end(); it--; if (*it >= tmp.l) { flg = 1; swap(b[tmp.id], b[rev[*it]]); } } ms.insert(i); } if (flg) { printf("NO\n"); for (int i = 1; i <= n; i++) { printf("%d ", a[i]); } printf("\n"); for (int i = 1; i <= n; i++) { printf("%d ", b[i]); } printf("\n"); } else { printf("YES\n"); for (int i = 1; i <= n; i++) { printf("%d ", a[i]); } printf("\n"); } return 0; }
#include <bits/stdc++.h> using namespace std; struct data { int X, Y, Z; }; const int N = (int)1e6 + 7; const int MOD = (int)1e9 + 7; const long long INF = (long long)1e18 + 7; int IT[N]; data a[N], b[N]; int n; bool cmp(data a, data b) { return (a.X != b.X) ? a.X < b.X : a.Y < b.Y; } void Insert(int i, int l, int r, int x, int val) { if (x < l || x > r) return; if (l == r) { IT[i] = val; return; } int m = (l + r) >> 1; Insert(i * 2, l, m, x, val); Insert(i * 2 + 1, m + 1, r, x, val); IT[i] = max(IT[i * 2], IT[i * 2 + 1]); return; } int Get(int i, int l, int r, int L, int R) { if (l >= L && r <= R) return IT[i]; if (L > r || R < l) return 0; int m = (l + r) >> 1; int x = Get(i * 2, l, m, L, R); int y = Get(i * 2 + 1, m + 1, r, L, R); return max(x, y); } void show() { vector<int> ans(n + 1); for (int i = 1; i <= n; i++) ans[a[i].Z] = i; for (int i = 1; i <= n; i++) cout << ans[i] << " "; } void builda() { priority_queue<pair<int, int>, vector<pair<int, int>>, greater<pair<int, int>>> q; sort(a + 1, a + n + 1, cmp); int l = 1; for (int i = 1; i <= n; i++) { while (a[l].X == i && l <= n) q.push({a[l].Y, l++}); pair<int, int> gt = q.top(); q.pop(); b[i] = a[gt.second]; } for (int i = 1; i <= n; i++) a[i] = b[i]; return; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); cin >> n; for (int i = 1; i <= n; i++) { cin >> a[i].X >> a[i].Y; a[i].Z = i; } builda(); Insert(1, 1, n, 1, a[1].Y); int l = 0; for (int i = 2; i <= n; i++) { int R = i, L = a[i].X; int ck = Get(1, 1, n, L, R); Insert(1, 1, n, i, a[i].Y); if (ck >= i) { l = i; break; } } int r = 0; for (int i = a[l].X; i < l; i++) if (a[i].Y >= l) { r = i; break; } if (l) { cout << "NO\n"; show(); swap(a[l], a[r]); cout << "\n"; show(); return 0; } cout << "YES\n"; show(); }
#include <bits/stdc++.h> struct Seg { int a; int b; int id; }; int n; const int maxN(200010); Seg seg[maxN]; int order[maxN]; int p[maxN]; std::pair<int, int> tree[maxN * 2]; int ans[maxN]; bool cmpA(int a, int &b) { return seg[a].a < seg[b].a; } bool operator>(const Seg &a, const Seg &b) { return a.b > b.b; } void output() { for (int i(1); i <= n; ++i) ans[p[i]] = i; for (int i(1); i <= n; ++i) printf("%d ", ans[i]); printf("\n"); } int query(int l, int r) { std::pair<int, int> ans{std::numeric_limits<int>::max(), -1}; --l; for (l += n, r += n; l < r; l >>= 1, r >>= 1) { if (l & 1) ans = std::min(ans, tree[l++]); if (r & 1) ans = std::min(ans, tree[--r]); } return ans.second; } int main() { scanf("%d", &n); for (int i(1); i <= n; ++i) { scanf("%d %d", &seg[i].a, &seg[i].b); seg[i].id = i; order[i] = i; } std::sort(order + 1, order + n + 1, cmpA); std::priority_queue<Seg, std::vector<Seg>, std::greater<Seg> > heap; for (int i(1), j(1); i <= n; ++i) { while (j <= n && seg[order[j]].a <= i) { heap.push(seg[order[j]]); ++j; } tree[n + i - 1].first = heap.top().a; tree[n + i - 1].second = i; p[i] = heap.top().id; heap.pop(); } for (int i(n - 1); i >= 1; --i) { tree[i] = std::min(tree[i << 1], tree[i << 1 | 1]); } for (int i(1); i <= n; ++i) { int j(query(i + 1, seg[p[i]].b)); if (j != -1 && seg[p[j]].a <= i) { printf("NO\n"); output(); std::swap(p[i], p[j]); output(); return 0; } } printf("YES\n"); output(); return 0; }
#include <bits/stdc++.h> using namespace std; const long long INF = 2e9; const long long MB = 31; const long long MOD = 1e9 + 7; void solve() { long long n; cin >> n; vector<pair<long long, long long>> a(n); for (long long i = 0; i < n; i++) { cin >> a[i].first >> a[i].second; a[i].first--; a[i].second--; } vector<vector<pair<long long, long long>>> b(n); for (long long i = 0; i < n; i++) { b[a[i].first].push_back({a[i].second, i}); } vector<long long> id(n); set<pair<long long, long long>> st; for (long long i = 0; i < n; i++) { for (auto& p : b[i]) { st.insert(p); } auto p = *st.begin(); st.erase(p); id[p.second] = i; } vector<long long> add(n); for (long long i = 0; i < n; i++) add[id[i]] = i; vector<vector<long long>> del(n); for (long long i = 0; i < n; i++) if (a[i].second + 1 < n) del[a[i].second + 1].push_back(i); st.clear(); for (long long i = 0; i < n; i++) { for (long long j : del[i]) { st.erase({id[j], j}); } if (!st.empty() && st.rbegin()->first >= a[add[i]].first) { long long ind = st.rbegin()->second; cout << "NO\n"; for (long long i : id) cout << i + 1 << " "; cout << '\n'; swap(id[st.rbegin()->second], id[add[i]]); for (long long i : id) cout << i + 1 << " "; return; } st.insert({i, add[i]}); } cout << "YES\n"; for (long long i : id) cout << i + 1 << " "; } signed main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr); cout.precision(12); cout << fixed; long long t = 1; while (t--) solve(); }
#include <bits/stdc++.h> using namespace std; const int N = 2e5 + 9; int n, ans1 = -1, ans2, par[N]; pair<int, int> m, p[N], tree[N * 2]; vector<pair<int, int> > v[N]; set<pair<int, int> > s; pair<int, int> query(int l, int r) { pair<int, int> res; res.first = res.second = -1; r++; for (l += n, r += n; l < r; l >>= 1, r >>= 1) { if (l & 1) { if (tree[l].first > res.first) res = tree[l]; l++; } if (r & 1) { if (tree[--r].first > res.first) res = tree[r]; } } return res; } void make_tree() { for (int i = n - 1; i >= 1; i--) { pair<int, int> p1 = tree[i * 2], p2 = tree[i * 2 + 1]; if (p1.first > p2.first) tree[i] = p1; else tree[i] = p2; } } int main() { cin >> n; for (long long i = 0; i < n; i++) { scanf("%d%d", &p[i].first, &p[i].second); ; p[i].first--, p[i].second--; v[p[i].first].push_back(make_pair(p[i].second, i)); } for (long long i = 0; i < n; i++) { for (long long j = 0; j < v[i].size(); j++) s.insert(v[i][j]); pair<int, int> u = *s.begin(); s.erase(u); tree[i + n] = u; par[u.second] = i; } make_tree(); for (long long i = 0; i < n; i++) { m = query(p[i].first, par[i] - 1); if (m.first >= par[i]) ans1 = i, ans2 = m.second; } if (ans1 == -1) cout << "YES" << endl; else cout << "NO" << endl; for (long long i = 0; i < n; i++) cout << par[i] + 1 << " "; cout << endl; if (ans1 != -1) { swap(par[ans1], par[ans2]); for (long long i = 0; i < n; i++) cout << par[i] + 1 << " "; } }
#include <bits/stdc++.h> using namespace std; const int N = 200005; int n, af[N], l[N], r[N], a[N], pos[N]; vector<pair<int, int>> eve[N]; priority_queue<pair<int, int>, vector<pair<int, int>>, greater<pair<int, int>>> pq; int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); cin >> n; for (int i = 1; i <= n; i++) { cin >> l[i] >> r[i]; eve[l[i]].push_back({r[i], i}); } for (int i = 1; i <= n; i++) { for (pair<int, int>& cur : eve[i]) { pq.push(cur); } auto [r, ind] = pq.top(); pq.pop(); a[ind] = i; pos[i] = ind; if (!pq.empty()) { af[ind] = pq.top().second; } } for (int i = 1; i <= n; i++) { int cur = i, nxt = af[i]; if (nxt != 0 && l[cur] <= a[nxt] && a[nxt] <= r[cur] && l[nxt] <= a[cur] && a[cur] <= r[nxt]) { cout << "NO\n"; for (int i = 1; i <= n; i++) { cout << a[i] << " \n"[i == n]; } swap(a[cur], a[nxt]); for (int i = 1; i <= n; i++) { cout << a[i] << " \n"[i == n]; } return 0; } } cout << "YES\n"; for (int i = 1; i <= n; i++) { cout << a[i] << " \n"[i == n]; } }
#include <bits/stdc++.h> using namespace std; const int N = 2e5 + 5; struct Node { int l, r, id; bool operator<(const Node &b) const { return l < b.l; } } a[N], b[N]; priority_queue<pair<int, int> > q; int ans[N], p[N], mi[N * 4], id[N * 4]; inline void update(int x) { mi[x] = mi[x << 1 | (mi[x << 1] > mi[x << 1 | 1])], id[x] = id[x << 1 | (mi[x << 1] > mi[x << 1 | 1])]; } void build(int l, int r, int x) { if (l == r) { mi[x] = b[p[l]].l, id[x] = l; return; } int mid = (l + r) >> 1; build(l, mid, x << 1); build(mid + 1, r, x << 1 | 1); update(x); } pair<int, int> query(int x, int l, int r, int L, int R) { if (L <= l && R >= r) return {mi[x], id[x]}; int mid = (l + r) >> 1; pair<int, int> w1 = {1e9, 0}, w2 = {1e9, 0}; if (L <= mid) w1 = query(x << 1, l, mid, L, R); if (R > mid) w2 = query(x << 1 | 1, mid + 1, r, L, R); if (w1.first < w2.first) return w1; return w2; } int main() { int n, l = 0; scanf("%d", &n); for (int i = 0; i < n; i++) scanf("%d%d", &a[i].l, &a[i].r), a[i].id = i, b[i] = a[i]; sort(a, a + n); for (int i = 1; i <= n; i++) { while (l < n && a[l].l <= i) q.push({-a[l].r, a[l].id}), l++; p[i] = q.top().second; q.pop(); ans[p[i]] = i; } build(1, n, 1); int u = -1, v; for (int i = 1; i <= n; i++) { if (b[p[i]].r == i) continue; pair<int, int> w = query(1, 1, n, i + 1, b[p[i]].r); if (w.first <= i) { u = p[i], v = p[w.second]; break; } } if (u == -1) { puts("YES"); for (int i = 0; i < n; i++) printf("%d ", ans[i]); } else { puts("NO"); for (int i = 0; i < n; i++) printf("%d ", ans[i]); swap(ans[u], ans[v]); puts(""); for (int i = 0; i < n; i++) printf("%d ", ans[i]); } return 0; }
#include <bits/stdc++.h> #pragma GCC optimize("Ofast", "unroll-loops", "omit-frame-pointer", "inline") #pragma GCC option("arch=native", "tune=native", "no-zero-upper") #pragma GCC target("avx2") using namespace std; template <typename T> void maxtt(T& t1, T t2) { t1 = max(t1, t2); } template <typename T> void mintt(T& t1, T t2) { t1 = min(t1, t2); } bool debug = 0; int n, m, k; int dx[4] = {0, 1, 0, -1}, dy[4] = {1, 0, -1, 0}; string direc = "RDLU"; const long long MOD2 = (long long)998244353 * (long long)998244353; long long ln, lk, lm; void etp(bool f = 0) { puts(f ? "YES" : "NO"); exit(0); } void addmod(int& x, int y, int mod = 998244353) { x += y; if (x >= mod) x -= mod; if (x < 0) x += mod; assert(x >= 0 && x < mod); } void et(int x = -1) { printf("%d\n", x); exit(0); } long long fastPow(long long x, long long y, int mod = 998244353) { long long ans = 1; while (y > 0) { if (y & 1) ans = (x * ans) % mod; x = x * x % mod; y >>= 1; } return ans; } long long gcd1(long long x, long long y) { return y ? gcd1(y, x % y) : x; } int a[200135], b[200135], ans[200135], w[200135]; vector<int> pos[200135]; void ppt() { for (int(i) = 1; (i) <= (int)(n); (i)++) printf("%d ", ans[i]); puts(""); } const int MN = (1 << 19) + 5; struct mb { int M, T[MN]; void init(int sz) { for (M = 1; sz + 2 > M; M <<= 1) ; } void init(int sz, int val) { for (M = 1; sz + 2 > M; M <<= 1) ; for (int(i) = 0; (i) < (int)(MN); (i)++) T[i] = val; } void clear() { memset(T, 0, sizeof T); } void upt(int l, int r, int val) { for (l = l + M - 1, r = r + M + 1; l ^ r ^ 1; l >>= 1, r >>= 1) { if (~l & 1) T[l ^ 1] = max(val, T[l ^ 1]); if (r & 1) T[r ^ 1] = max(val, T[r ^ 1]); } } int qy(int l) { int ans = 0; l += M; while (l >= 1) { ans = max(ans, T[l]); l >>= 1; } return ans; } } T; void fmain(int tid) { scanf("%d", &n); for (int(i) = 1; (i) <= (int)(n); (i)++) scanf("%d%d", a + i, b + i); for (int(i) = 1; (i) <= (int)(n); (i)++) { pos[a[i]].push_back(i); } priority_queue<pair<int, int>, std::vector<pair<int, int>>, std::greater<pair<int, int>>> q; for (int(i) = 1; (i) <= (int)(n); (i)++) { for (int z : pos[i]) { q.push({b[z], z}); } assert(!q.empty()); auto pr = q.top(); q.pop(); ans[pr.second] = i; w[i] = pr.second; } T.init(n, 0); for (int(i) = 1; (i) <= (int)(n); (i)++) { int z = T.qy(i); if (z >= a[w[i]]) { puts("NO"); ppt(); swap(ans[w[i]], ans[w[z]]); ppt(); return; } T.upt(i, b[w[i]], i); } puts("YES"); ppt(); } int main() { int t = 1; for (int(i) = 1; (i) <= (int)(t); (i)++) { fmain(i); } return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; using ii = pair<int, int>; const int N = 200005; pair<ii, int> v[N]; int ans[N]; int rec[N]; int ans2[N]; struct SegTree { vector<ii> st; int n; SegTree(int sz) { st.resize(4 * (sz + 1), {0, 0}); n = sz; } void upd(int p, int l, int r, int x, int val) { if (l == r && r == x) { st[p] = {val, x}; return; } if (l > x || r < x) return; int mid = (l + r) / 2; upd(2 * p, l, mid, x, val); upd(2 * p + 1, mid + 1, r, x, val); st[p] = max(st[2 * p], st[2 * p + 1]); } ii qry(int p, int l, int r, int ql, int qr) { if (l >= ql && r <= qr) { return st[p]; } if (l > qr || r < ql) return {0, 0}; int mid = (l + r) / 2; return max(qry(2 * p, l, mid, ql, qr), qry(2 * p + 1, mid + 1, r, ql, qr)); } void upd(int x, int val) { upd(1, 1, n, x, val); } ii qry(int l, int r) { return qry(1, 1, n, l, r); } }; int main() { int n; scanf("%d", &n); for (int i = 0; i < n; i++) { scanf("%d %d", &v[i].first.first, &v[i].first.second); v[i].second = i + 1; } sort(v, v + n); int id = 0; set<ii> s; for (int i = 1; i <= n; i++) { while (id < n && v[id].first.first <= i) { s.insert({v[id].first.second, id}); id++; } assert(s.size()); ans[s.begin()->second] = i; rec[i] = s.begin()->second; s.erase(s.begin()); } bool ok = 1; int swp1, swp2; SegTree st(n); for (int i = 1; i <= n; i++) { int l, r; tie(l, r) = v[rec[i]].first; ii x = st.qry(l, i); if (x.first >= i) { swp1 = x.second; swp2 = i; ok = 0; break; } st.upd(i, r); } printf("%s\n", ok ? "YES" : "NO"); for (int i = 0; i < n; i++) { ans2[v[i].second] = ans[i]; } for (int i = 1; i <= n; i++) { printf("%d ", ans2[i]); } printf("\n"); if (!ok) { for (int i = 1; i <= n; i++) { if (ans2[i] == swp1) { printf("%d ", swp2); } else if (ans2[i] == swp2) { printf("%d ", swp1); } else { printf("%d ", ans2[i]); } } printf("\n"); } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 200005; int n, af[N], l[N], r[N], a[N], pos[N]; vector<pair<int, int>> eve[N]; priority_queue<pair<int, int>, vector<pair<int, int>>, greater<pair<int, int>>> pq; int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); cin >> n; for (int i = 1; i <= n; i++) { cin >> l[i] >> r[i]; eve[l[i]].push_back({r[i], i}); } for (int i = 1; i <= n; i++) { for (pair<int, int>& cur : eve[i]) { pq.push(cur); } auto [r, ind] = pq.top(); pq.pop(); a[ind] = i; pos[i] = ind; if (!pq.empty()) { af[ind] = pq.top().second; } } for (int i = 1; i <= n; i++) { int cur = i, nxt = af[i]; if (nxt != 0 && a[nxt] <= r[cur] && a[cur] <= r[nxt]) { cout << "NO\n"; for (int i = 1; i <= n; i++) { cout << a[i] << " \n"[i == n]; } swap(a[cur], a[nxt]); for (int i = 1; i <= n; i++) { cout << a[i] << " \n"[i == n]; } return 0; } } cout << "YES\n"; for (int i = 1; i <= n; i++) { cout << a[i] << " \n"[i == n]; } }
#include <bits/stdc++.h> using namespace std; int n, kezd[200002], veg[200002], pos[200002], inv[200002], x, csa, csb; vector<pair<pair<int, int>, int> > sz; vector<int> v; priority_queue<pair<int, int> > q; void p() { for (int i = 1; i <= n; i++) inv[pos[i]] = i; for (int i = 1; i <= n; i++) cout << inv[i] << " "; cout << "\n"; } int main() { ios_base::sync_with_stdio(false), cin.tie(0), cout.tie(0); cin >> n; for (int i = 1; i <= n; i++) { int a, b; cin >> a >> b, kezd[i] = a, veg[i] = b; sz.push_back({{a, b}, i}); } sort(sz.begin(), sz.end()); for (int i = 1; i <= n; i++) { while (x < n && sz[x].first.first == i) q.push({-sz[x].first.second, sz[x].second}), x++; pos[i] = q.top().second, q.pop(); } for (int i = 1; i <= n; i++) { while (v.size() > 0 && veg[pos[v.back()]] < i) { v.pop_back(); } int a = kezd[pos[i]], b = veg[pos[i]]; if (v.size() > 0 && a <= v.back()) { csa = i, csb = v.back(); } while (v.size() > 0 && b >= veg[pos[v.back()]]) v.pop_back(); v.push_back(i); } if (!csa) { cout << "YES" << "\n"; p(); } else { cout << "NO" << "\n"; p(); swap(pos[csa], pos[csb]); p(); } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 2 * 1e5 + 5; int sol[N]; struct ajutorab { int a, b; int id; }; bool operator<(ajutorab x, ajutorab y) { if (x.b == y.b) return x.id < y.id; return x.b < y.b; } bool cmp(ajutorab a, ajutorab b) { return a.a < b.a; } bool cmpid(ajutorab a, ajutorab b) { return a.id < b.id; } ajutorab v[N]; set<ajutorab> pz; int aint[4 * N]; void update(int node, int l, int r, int poz, int val) { if (l > r || poz < l || poz > r) return; if (l == r) { aint[node] = val; return; } int mid = (l + r) / 2; update(2 * node, l, mid, poz, val); update(2 * node + 1, mid + 1, r, poz, val); aint[node] = max(aint[node * 2], aint[node * 2 + 1]); } int query(int node, int l, int r, int ql, int qr) { if (l > r || qr < l || ql > r || ql > qr) return -1; if (ql <= l && r <= qr) { return aint[node]; } int mid = (l + r) / 2; int st = query(2 * node, l, mid, ql, qr); int dr = query(2 * node + 1, mid + 1, r, ql, qr); return max(st, dr); } int main() { ios::sync_with_stdio(false); cin.tie(0), cout.tie(0); int n; cin >> n; for (int i = 1; i <= n; i++) { cin >> v[i].a >> v[i].b; v[i].id = i; } sort(v + 1, v + n + 1, cmp); int poz = 1; for (int i = 1; i <= n; i++) { while (poz <= n && v[poz].a <= i) { pz.insert(v[poz]); poz++; } ajutorab x = (*pz.begin()); pz.erase(pz.begin()); sol[x.id] = i; } sort(v + 1, v + n + 1, cmpid); for (int i = 1; i <= n; i++) { update(1, 1, n, sol[i], v[i].b); } for (int i = 1; i <= n; i++) { int q = query(1, 1, n, v[i].a, sol[i] - 1); if (q >= sol[i]) { cout << "No\n"; for (int j = 1; j <= n; j++) { cout << sol[j] << " "; } cout << "\n"; for (int j = 1; j <= n; j++) { if (j != i && v[i].a <= sol[j] && sol[j] <= sol[i] && sol[i] <= v[j].b) { swap(sol[i], sol[j]); break; } } for (int j = 1; j <= n; j++) { cout << sol[j] << " "; } return 0; } } cout << "Yes\n"; for (int j = 1; j <= n; j++) { cout << sol[j] << " "; } return 0; }