Submission #1211765

#TimeUsernameProblemLanguageResultExecution timeMemory
1211765abczzGrowing Vegetables is Fun 5 (JOI24_vegetables5)C++20
100 / 100
1935 ms46888 KiB
#include <iostream> #include <vector> #include <algorithm> #include <array> #define ll long long using namespace std; ll cnt[600000]; ll n, A[600000], B[300000], C[300000]; ll minrnk[600000], maxrnk[600000], G[600000], Z[600000]; vector<ll> solve(ll d, ll w) { if (B[0] < A[0]-d || A[0]+d < B[0]) return {}; vector <ll> ret; int j = 0, k = 0; ll z = 1e9; vector <ll> X; for (int i=0; i<n; ++i) { G[i] = Z[i] = -1; while (j < n && B[j] < A[i]-d) ++j; while (k+1 < n && B[k+1] <= A[i]+d) ++k; minrnk[i] = j-i, maxrnk[i] = k-i; if (j > k) z = min(z, (ll)i); if (minrnk[i] > 0 && (X.empty() || minrnk[X.back()] < minrnk[i])) X.push_back(i); } reverse(X.begin(), X.end()); j = 0; ll s = 0; vector <array<ll, 2>> R; for (int i=n-1; i>=0; --i) { if (j <= i) R.push_back({j, i}); if (i) { ++s; while ((w == 0 ? A[2*n-s] >= A[j] : A[2*n-s] > A[j]) && j <= n-1) ++j; } } ll f = 1e18; for (int i=R.size()-1; i>=0; --i) { if (i == R.size()-1) { for (int j=R[i][0]; j<=R[i][1]; ++j) f = min(f, maxrnk[j]); } else { for (int j=R[i][0]; j<R[i+1][0]; ++j) f = min(f, maxrnk[j]); for (int j=R[i+1][1]+1; j<=R[i][1]; ++j) f = min(f, maxrnk[j]); } Z[R[i][1]] = f; } j = s = 0; G[0] = 0; if (maxrnk[0] < 0) z = 0; for (int i=n-1; i>=0; --i) { if (X.empty() && (j <= i ? Z[i] >= s : 1) && i < z) ret.push_back(i); if (i) { ++s; while ((w == 0 ? A[2*n-s] >= A[j] : A[2*n-s] > A[j]) && j <= n-1) { ++j; G[j] = G[j-1]; if (maxrnk[j] < G[j]) z = min(z, (ll)j); } ++G[j]; if (maxrnk[j] < G[j]) z = min(z, (ll)j); while (!X.empty() && (X.back() >= i || (j <= X.back() && minrnk[X.back()] <= s))) X.pop_back(); } } return ret; } void swp() { for (int i=1; i<n; ++i) swap(A[i], A[2*n-i]); } void swp2() { for (int i=0; i<n; ++i) swap(B[i], C[i]); for (int i=1; i<=n/2; ++i) swap(A[i], A[n-i]); for (int i=n+1; i<=3*n/2; ++i) swap(A[i], A[3*n-i]); swap(A[0], A[n]); for (int i=0; i<2*n; ++i) A[i] = 1e9-A[i]; for (int i=0; i<n; ++i) B[i] = 1e9-B[i], C[i] = 1e9-C[i]; reverse(B, B+n); reverse(C, C+n); } bool solve2(ll mid) { for (int i=0; i<n; ++i) cnt[i] = 0; auto u = solve(mid, 0); for (auto x : u) ++cnt[x]; swp(); auto v = solve(mid, 1); for (auto x : v) ++cnt[n-1-x]; swp2(); auto g = solve(mid, 0); for (auto x : g) ++cnt[x]; swp(); auto h = solve(mid, 1); for (auto x : h) ++cnt[n-1-x]; swp2(); for (int i=0; i<n; ++i) if (cnt[i] == 4) return 1; return 0; } int main() { cin >> n; for (int i=0; i<2*n; ++i) cin >> A[i]; for (int i=0; i<n; ++i) cin >> B[i]; for (int i=0; i<n; ++i) cin >> C[i]; sort(B, B+n); sort(C, C+n); ll l = 0, r = 1e9, mid; while (l < r) { mid = (l+r)/2; for (int i=0; i<n; ++i) cnt[i] = 0; bool ok = 0; if (!solve2(mid)) { for (int i=0; i<n; ++i) swap(B[i], C[i]); if (solve2(mid)) ok = 1; for (int i=0; i<n; ++i) swap(B[i], C[i]); } else ok = 1; if (ok) r = mid; else l = mid+1; } cout << l << '\n'; }
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