#include #define GET_MACRO(a, b, c, NAME, ...) NAME #define rep(...) GET_MACRO(__VA_ARGS__, rep3, rep2)(__VA_ARGS__) #define rep2(i, a) rep3 (i, 0, a) #define rep3(i, a, b) for (int i = (a); i < (b); i++) #define repr(...) GET_MACRO(__VA_ARGS__, repr3, repr2)(__VA_ARGS__) #define repr2(i, a) repr3 (i, 0, a) #define repr3(i, a, b) for (int i = (b) - 1; i >= (a); i--) #define chmin(a, b) ((b) < a && (a = (b), true)) #define chmax(a, b) (a < (b) && (a = (b), true)) using namespace std; typedef long long ll; struct SegmentTree { typedef pair, pair> P; // (max1, l1, m1), (max2, m2, m2) vector

mx; int size; P e; SegmentTree(int n) { size = 1; e = {{0, -1}, {0, -1}}; while (size < n) size *= 2; mx.resize(size * 2, e); } P merge(P a, P b) { pair x[4] = {a.first, a.second, b.first, b.second}; sort(x, x + 4); return P(x[3], x[2]); } void update(int k, int p, int v) { k += size - 1; mx[k] = merge(mx[k], {{v, p}, {-1, -1}}); while (k > 0) { k = (k - 1) / 2; mx[k] = merge(mx[k * 2 + 1], mx[k * 2 + 2]); } } P query(int a, int b, int k, int l, int r) { if (r <= a || b <= l) return e; if (a <= l && r <= b) return mx[k]; auto x = query(a, b, k * 2 + 1, l, (l + r) / 2); auto y = query(a, b, k * 2 + 2, (l + r) / 2, r); return merge(x, y); } P query(int a, int b) { return query(a, b, 0, 0, size); } }; int main() { int n; cin >> n; vector a(n); rep (i, n) cin >> a[i]; vector ca(a); sort(ca.begin(), ca.end()); ca.erase(unique(ca.begin(), ca.end()), ca.end()); rep (i, n) a[i] = lower_bound(ca.begin(), ca.end(), a[i]) - ca.begin(); SegmentTree inctr(101010), dectr(101010); rep (i, n) { int r = a[i]; // dpinc[m][r] = max(dpdec[m+1..][..r-1]) // => // dpinc[m][r] = max(dpdec[..][..r-1]) // dpinc[..r-1][r] = max(dpdec[..][..r-1]) // dp[..r-1][r] = query: [..r-1] => (max,l) auto maxdec = dectr.query(0, r); if (maxdec.first.second != r) { inctr.update(r, r, maxdec.first.first + 1); } else { inctr.update(r, r, maxdec.second.first + 1); } // dpdec[m][r] = max(dpinc[..m-1][r+1..]) // => // dpdec[m][r] = max(dpinc[..][r+1..]) // dpdec[r+1..][r] = max(dpinc[..][r+1..]) // dp[r+1..][r] = query: [..r+1] => (max,l) auto maxinc = inctr.query(r + 1, inctr.size); if (maxinc.first.second != r) { dectr.update(r, r, maxinc.first.first + 1); } else { dectr.update(r, r, maxinc.second.first + 1); } } int ans = 0; ans = max(ans, inctr.query(0, inctr.size).first.first); ans = max(ans, dectr.query(0, dectr.size).first.first); cout << ans << endl; return 0; }