Submission #714466

#TimeUsernameProblemLanguageResultExecution timeMemory
714466FedShatFinancial Report (JOI21_financial)C++17
100 / 100
809 ms28000 KiB
#include <bits/stdc++.h> using namespace std; using ll = long long; constexpr int INF = numeric_limits<int>::max() / 2; constexpr ll INFLL = numeric_limits<ll>::max() / 2; template<class T> istream &operator>>(istream &is, vector<T> &a) { for (auto &i : a) { is >> i; } return is; } struct SegTree { struct Node { int mn = INF, mnpos = -1; int mxdp = -INF; int push = -1; Node() = default; Node(int ri, int i, int dp) { mn = ri; mnpos = i; mxdp = dp; } }; Node pull(const Node &a, const Node &b) { Node ans; ans.mxdp = max(a.mxdp, b.mxdp); ans.mn = min(a.mn, b.mn); if (a.mn < b.mn) { ans.mnpos = a.mnpos; } else { ans.mnpos = b.mnpos; } return ans; } vector<Node> tree; int n; void push(int v, int l, int r) { if (tree[v].push == -1) { return; } if (l + 1 < r) { tree[2 * v + 1].push = tree[v].push; tree[2 * v + 2].push = tree[v].push; } if (tree[v].mn != INF) { tree[v].mn = tree[v].push; } tree[v].push = -1; } void build(int v, int l, int r) { if (l + 1 == r) { tree[v].mnpos = l; return; } int m = (l + r) / 2; build(2 * v + 1, l, m); build(2 * v + 2, m, r); tree[v] = pull(tree[2 * v + 1], tree[2 * v + 2]); } SegTree(int n) : n(n) { tree.resize(4 * n); build(0, 0, n); } Node get(int v, int l, int r, int li, int ri) { push(v, l, r); if (li >= r || l >= ri) { return {}; } if (li <= l && r <= ri) { return tree[v]; } int m = (l + r) / 2; return pull(get(2 * v + 1, l, m, li, ri), get(2 * v + 2, m, r, li, ri)); } Node get(int li, int ri) { return get(0, 0, n, li, ri); } void update(int v, int l, int r, int i, const Node &x) { push(v, l, r); if (i < l || i >= r) { return; } if (l + 1 == r) { tree[v] = x; return; } int m = (l + r) / 2; update(2 * v + 1, l, m, i, x); update(2 * v + 2, m, r, i, x); tree[v] = pull(tree[2 * v + 1], tree[2 * v + 2]); } void update(int i, const Node &x) { update(0, 0, n, i, x); } void update_seg(int v, int l, int r, int li, int ri, int x) { push(v, l, r); if (li >= r || l >= ri) { return; } if (li <= l && r <= ri) { tree[v].push = x; push(v, l, r); return; } int m = (l + r) / 2; update_seg(2 * v + 1, l, m, li, ri, x); update_seg(2 * v + 2, m, r, li, ri, x); tree[v] = pull(tree[2 * v + 1], tree[2 * v + 2]); } void update_seg(int li, int ri, int x) { update_seg(0, 0, n, li, ri, x); } }; mt19937 rng(228); int main() { cin.tie(0)->sync_with_stdio(0); #ifdef __APPLE__ freopen("input.txt", "r", stdin); #endif int n = 1e4, d = 1; cin >> n >> d; vector<int> a(n); for (auto &i : a) { i = rng() % 100 + 1; } cin >> a; vector<pair<int, int>> coords; for (int i = 0; i < n; ++i) { coords.push_back({a[i], i}); } sort(coords.begin(), coords.end()); // for (int i = 0; i < n; ++i) { // a[i] = lower_bound(coords.begin(), coords.end(), pair(a[i], i)) - coords.begin(); // } vector<int> dp(n), ri(n); SegTree st(n); for (int i = 0; i < n; ++i) { dp[i] = 1; ri[i] = i; while (1) { auto cur = st.get(0, n); if (i - cur.mn <= d) { break; } st.update(cur.mnpos, {INF, cur.mnpos, -INF}); } { int it = lower_bound(coords.begin(), coords.end(), pair(a[i], 0)) - coords.begin(); auto cur = st.get(0, it); dp[i] = max(dp[i], cur.mxdp + 1); } { int it = lower_bound(coords.begin(), coords.end(), pair(a[i], i)) - coords.begin(); st.update(it, {i, it, dp[i]}); } { int it = lower_bound(coords.begin(), coords.end(), pair(a[i], 0)) - coords.begin(); st.update_seg(it, n, i); } // for (int j = 0; j < i; ++j) { // if (i - ri[j] <= d && a[j] < a[i]) { // dp[i] = max(dp[i], dp[j] + 1); // } // } // for (int j = 0; j <= i; ++j) { // if (i - ri[j] <= d && a[j] >= a[i]) { // ri[j] = i; // } // } } for (int i = 0; i < n; ++i) { int it = lower_bound(coords.begin(), coords.end(), pair(a[i], i)) - coords.begin(); ri[i] = st.get(it, it + 1).mn; } int ans = 0; for (int i = 0; i < n; ++i) { if (ri[i] == n - 1) { ans = max(ans, dp[i]); } } cout << ans << "\n"; }
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