solution
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2 values
#include <bits/stdc++.h> using namespace std; const int N = int(1e5 + 5); int a[N], dp[N], t[4 * N], sz; int max(int l, int r, int L, int R, int v) { if (r <= L || R <= l) return 0; if (l <= L && R <= r) return t[v]; int mid = (L + R) / 2; return max(max(l, r, L, mid, v * 2), max(l, r, mid, R, v * 2 + 1)); } void upd(int v, int val) { v += sz - 1; while (v) { t[v] = max(val, t[v]); v /= 2; } } int main() { int n, res = 0; cin >> n; for (int i = 0; i < n; i++) { cin >> a[i]; dp[i] = 1; } sz = 1; while (sz < n) sz <<= 1; for (int i = 0; i < n; i++) { dp[i] = max(1, a[i], 1, sz + 1, 1) + 1; res = max(res, dp[i]); upd(a[i], dp[i]); } cout << res << endl; return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; #pragma comment(linker, "/STACK:64000000") const int maxn = 1 << 17; const int inf = 1000000007; const int mod = 1000000007; int n; int a[maxn], d[maxn]; int main() { cin >> n; for (int i = 0; i < n; i++) cin >> a[i]; memset(d, 127, sizeof(d)); d[0] = -1; for (int i = 0; i < n; i++) { int j = lower_bound(d, d + n + 1, a[i]) - d; d[j] = a[i]; } for (int i = n; i >= 0; i--) { if (d[i] < 1e9) { cout << i << endl; break; } } return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; const long long int INF = 1LL << 60; long long int n, m, k, x, y, z; int mod = 1e9 + 7; long long int add(long long int a, long long int b) { if (a + b >= mod) return a + b - mod; return a + b; } long long int sub(long long int a, long long int b) { if (a < b) return a - b + mod; return a - b; } long long int mul(long long int a, long long int b) { return 1LL * a * b % mod; } int power(int a, int b) { if (b < 0) return 0; int re = 1; while (b) { if (b & 1) { re = mul(re, a); } a = mul(a, a); b >>= 1; } return re; } bool sortbysec(const pair<long long int, long long int> &a, const pair<long long int, long long int> &b) { return (a.second < b.second); } bool sortbyfi( const pair<long long int, pair<long long int, long long int>> &a, const pair<long long int, pair<long long int, long long int>> &b) { return (a.first > b.first); } priority_queue<pair<int, int>, vector<pair<int, int>>, greater<pair<int, int>>> pq; long long int bs(vector<long long int> v, long long int x) { long long int hi = v.size() - 1, lo = 0; while (hi >= lo) { long long int mid = lo + (hi - lo) / 2; if (v[mid] == x) return 1; else if (v[mid] < x) lo = mid + 1; else hi = mid - 1; } return 0; } bool paired(char a, char b) { if (a == '[' and b == ']') return true; if (a == '{' and b == '}') return true; if (a == '(' and b == ')') return true; if (a == '<' and b == '>') return true; return false; } bool cmp(pair<long long int, vector<long long int>> a, pair<long long int, vector<long long int>> b) { return a.first > b.first; } long long int dp[200005][2] = {0}; void update1(long long int idx, long long int val, long long int pos) { while (idx <= 100000) { dp[idx][pos] += val; dp[idx][pos] %= 1000000007; idx += idx & -idx; } } long long int pref1(long long int idx, long long int pos) { long long int ans = 0; while (idx > 0) { ans += dp[idx][pos]; ans %= 1000000007; idx -= idx & -idx; } return ans; } long long int bit[200005] = {0}; void update(long long int idx, long long int val) { while (idx <= 100000) { bit[idx] += val; idx += idx & -idx; } } long long int pref(long long int idx) { long long int ans = 0; while (idx > 0) { ans += bit[idx]; idx -= idx & -idx; } return ans; } long long int rsum(long long int l, long long int r) { return pref(r) - pref(l - 1); } void Birdperson() { cin >> n; set<long long int> s; for (int i = 0; i < (n); ++i) { cin >> x; s.insert(x); auto it = s.upper_bound(x); if (it != s.end()) s.erase(it); } cout << (int)s.size() << "\n"; } int main() { std::ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); long long int t = 1; long long int cnt = 1; while (cnt <= t) { Birdperson(); cnt++; } return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; const int N = 100050; int dp[N], n, mx[N << 2], a[N]; void update(int p, int add, int l, int r, int rt) { if (l == r) { mx[rt] = add; return; } int m = (l + r) >> 1; if (p <= m) update(p, add, l, m, rt << 1); else update(p, add, m + 1, r, rt << 1 | 1); mx[rt] = max(mx[rt << 1], mx[rt << 1 | 1]); } int query(int L, int R, int l, int r, int rt) { if (L <= l && r <= R) return mx[rt]; int m = (l + r) >> 1; int ret = 0; if (L <= m) ret = max(ret, query(L, R, l, m, rt << 1)); if (R > m) ret = max(ret, query(L, R, m + 1, r, rt << 1 | 1)); return ret; } int main() { scanf("%d", &n); int ans = 0; for (int i = 0; i < n; i++) { int a; scanf("%d", &a); int ret = query(1, a, 1, n, 1); dp[a] = ret + 1; ans = max(ans, dp[a]); update(a, dp[a], 1, n, 1); } printf("%d\n", ans); return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; const int inf = 2000000000; const long double eps = 1e-07; int n; int a[200000]; int d[200000]; int main() { scanf("%d", &n); for (int i = 0; i < n; ++i) scanf("%d", &a[i]); d[0] = -inf; for (int i = 1; i <= n; ++i) d[i] = inf; for (int i = 0; i < n; i++) { int l = 0; int r = n; while (r - l > 2) { int m = (l + r) / 2; if (d[m] < a[i]) { l = m; } else r = m; } for (int j = r; j >= l; --j) if (d[j] < a[i]) { d[j + 1] = a[i]; break; } } int ans = -inf; for (int i = 1; i <= n; ++i) if (d[i] != inf) ans = max(ans, i); cout << ans << endl; return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; int main() { ios::sync_with_stdio(false); int n; while (cin >> n) { int a[100000]; vector<int> v; for (int i = 0; i != n; ++i) cin >> a[i]; int MaxV[100005]; MaxV[1] = a[0]; int nmaxv = 1; for (int i = 1; i != n; ++i) { int u = 1, v = nmaxv; while (u <= v) { int mid = (u + v) >> 1; if (MaxV[mid] < a[i]) u = mid + 1; else v = mid - 1; } nmaxv = max(nmaxv, v + 1); MaxV[v + 1] = a[i]; } cout << nmaxv << endl; } }
8
CPP
#include <bits/stdc++.h> using namespace std; int fena[100005], fenn; void initfen() { memset(fena, 0, sizeof(fena)); } int fengetmax(int inx) { int ret = 0; for (int i = inx; i > 0; i -= (i & (-i))) ret = max(ret, fena[i]); return ret; } void fenset(int inx, int val) { for (int i = inx; i <= fenn; i += (i & (-i))) fena[i] = max(fena[i], val); } void doit() { int tn, ret = 0, cmax = 0; cin >> fenn; initfen(); for (int i = 0; i < fenn; i++) { cin >> tn; cmax = fengetmax(tn); fenset(tn, cmax + 1); ret = max(ret, cmax + 1); } cout << ret << endl; return; } int main() { doit(); return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; const int INF = 1000 * 1000 * 1000 + 5; const int MOD = 1000 * 1000 * 1000 + 7; const long double EPS = 1e-8; int n; vector<int> a; vector<int> f; int ans; void change(int x, int d) { for (int i = x; i < n; i = i | (i + 1)) f[i] = max(f[i], d); } int get(int x) { int res = 0; for (int i = x; i >= 0; i = (i & (i + 1)) - 1) res = max(res, f[i]); return res; } int main() { ios_base::sync_with_stdio(false); cin >> n; a.resize(n); for (int i = 0; i < n; ++i) cin >> a[i], --a[i]; f.resize(n); for (int i = 0; i < n; ++i) { int x = get(a[i]) + 1; change(a[i], x); ans = max(ans, x); } cout << ans << "\n"; return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; unsigned long long gcd(unsigned long long a, unsigned long long b) { return (b == 0 ? a : gcd(b, a % b)); } long long x, y, z, n, m, r, l, k, a, h, d; char c; vector<int> v; vector<int> tail; int bs(int l, int r, int key) { while (r - l > 1) { int m = l + (r - l) / 2; if (tail[m] >= key) r = m; else l = m; } return r; } int dfs() { if (v.size() == 0) return 0; tail.clear(); tail.resize(v.size()); int length = 1; tail[0] = v[0]; for (size_t i = 1; i < v.size(); i++) { if (v[i] < tail[0]) tail[0] = v[i]; else if (v[i] > tail[length - 1]) tail[length++] = v[i]; else tail[bs(-1, length - 1, v[i])] = v[i]; } return length; } void solve() { cin >> n; for (int i = 0; i < n; i++) cin >> x, v.push_back(x); cout << dfs(); } int main() { ios::sync_with_stdio(0); cout.tie(0); cin.tie(0); solve(); return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; long long int n, BIT[100001], arr[100001]; void insert(long long int x, long long int val) { for (; x <= n; x += (x & (-x))) BIT[x] = max(BIT[x], val); } long long int query(long long int x) { long long int sum = 0; for (; x > 0; x -= (x & (-x))) sum = max(sum, BIT[x]); return sum; } int main() { long long int i, j, k; cin >> n; for (i = 0; i < n; ++i) cin >> arr[i]; k = 0; for (i = 0; i < n; ++i) { j = query(arr[i]) + 1; k = max(k, j); insert(arr[i], j); } cout << k << endl; return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; long long n, a[100005], lis[100005]; int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cin >> n; for (long long i = 0; i < n; i++) cin >> a[i]; long long len = 0; for (long long i = 0; i < n; i++) { long long pos = lower_bound(lis, lis + len, a[i]) - lis; lis[pos] = a[i]; if (pos + 1 > len) len = pos + 1; } cout << len << endl; return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; int n, a[100005]; int s[100005], top; void work() { int i, j; scanf("%d", &n); for (i = 1; i <= n; ++i) scanf("%d", &a[i]); for (i = 1; i <= n; ++i) { if (a[i] > s[top]) s[++top] = a[i]; else { j = upper_bound(s + 1, s + top + 1, a[i]) - s; s[j] = a[i]; } } cout << top << endl; } int main() { work(); return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; const int maxn = 1000000; int g[maxn]; int n; int a[maxn]; int lowbit(int x) { return x & (-x); } void update(int x, int f) { while (x <= n) { g[x] = max(g[x], f); x += lowbit(x); } } int getmax(int x) { int ans = 0; while (x > 0) { ans = max(ans, g[x]); x -= lowbit(x); } return ans; } int main() { scanf("%d", &n); for (int i = 1; i <= n; ++i) scanf("%d", &a[i]); memset(g, 0, sizeof(g)); int ans = 0; for (int i = 1; i <= n; ++i) { int f = getmax(a[i]) + 1; ans = max(ans, f); update(a[i], f); } cout << ans << endl; }
8
CPP
#include <bits/stdc++.h> using namespace std; int N, L; int vals[100001]; int m[100000]; int main() { scanf("%d", &N); for (int i = 0; i < N; i++) { scanf("%d", &vals[i]); m[i] = 100000; } vals[100000] = 1 << 30; L = 0; for (int i = 0; i < N; i++) { int lb = 0, ub = L; while (ub - lb > 1) { int mid = (ub + lb) / 2; if (vals[m[mid]] < vals[i]) lb = mid; else ub = mid - 1; } int j = 0; for (int t = lb; t <= ub; t++) if (vals[m[t]] < vals[i]) j = t; if (j == L || vals[i] < vals[m[j + 1]]) { m[j + 1] = i; L = max(L, j + 1); } } printf("%d\n", L); return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; int dp[1000009]; int LIS(vector<int> a) { int maxi = 1; int sz = a.size(); vector<int> d(sz + 1, 100000000); for (int i = int(0); i <= int(sz - 1); i++) { vector<int>::iterator it = lower_bound(d.begin(), d.end(), a[i]); *it = a[i]; dp[i] = (it - d.begin()) + 1; maxi = max(maxi, dp[i]); } return maxi; } int main() { memset(dp, 0, sizeof(dp)); int n; scanf("%d", &n); vector<int> a(n); for (int i = int(0); i <= int(n - 1); i++) scanf("%d", &a[i]); int ans = LIS(a); printf("%d\n", ans); return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; template <typename T, typename U> inline void smin(T &a, U b) { if (a > b) a = b; } template <typename T, typename U> inline void smax(T &a, U b) { if (a < b) a = b; } template <class T> inline void gn(T &first) { char c, sg = 0; while (c = getchar(), (c > '9' || c < '0') && c != '-') ; for ((c == '-' ? sg = 1, c = getchar() : 0), first = 0; c >= '0' && c <= '9'; c = getchar()) first = (first << 1) + (first << 3) + c - '0'; if (sg) first = -first; } template <class T> inline void print(T first) { if (first < 0) { putchar('-'); return print(-first); } if (first < 10) { putchar('0' + first); return; } print(first / 10); putchar(first % 10 + '0'); } template <class T, class T1> inline void gn(T &first, T1 &second) { gn(first); gn(second); } template <class T, class T1, class T2> inline void gn(T &first, T1 &second, T2 &z) { gn(first); gn(second); gn(z); } template <class T> inline void println(T first) { print(first); putchar('\n'); } template <class T> inline void printsp(T first) { print(first); putchar(' '); } template <class T1, class T2> inline void print(T1 x1, T2 x2) { printsp(x1), println(x2); } template <class T1, class T2, class T3> inline void print(T1 x1, T2 x2, T3 x3) { printsp(x1), printsp(x2), println(x3); } template <class T1, class T2, class T3, class T4> inline void print(T1 x1, T2 x2, T3 x3, T4 x4) { printsp(x1), printsp(x2), printsp(x3), println(x4); } int power(int a, int b, int m, int ans = 1) { for (; b; b >>= 1, a = 1LL * a * a % m) if (b & 1) ans = 1LL * ans * a % m; return ans; } int a[100011]; int b[100011]; int main() { int n; cin >> n; for (int i = 1; i <= n; i++) gn(a[i]); for (int i = 0; i < 100011; i++) b[i] = 0x3f3f3f3f; for (int i = 1; i <= n; i++) { int pos = upper_bound(b, b + 100011, a[i]) - b; b[pos] = a[i]; } for (int i = 0; i < 100011; i++) if (b[i] == 0x3f3f3f3f) return cout << i << endl, 0; return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; int oo = (1 << 31) - 1; int arr[100010]; int main() { int N, lis, v, p; scanf("%d", &N); arr[0] = oo; lis = 1; for (int i = 0; i < N; i++) { scanf("%d", &v); p = lower_bound(arr, arr + lis, v) - arr; arr[p] = v; if (p == lis) lis++; } printf("%d\n", lis); return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; int r[100100], n; int sum(int x) { int ans = 0; for (; x >= 0; x = ((x & (x + 1)) - 1)) ans = max(r[x], ans); return ans; } void modify(int x, int y) { for (; x <= n; x = (x | (x + 1))) r[x] = max(r[x], y); } int res, mas[100100]; int main() { scanf("%d", &n); for (int i = 1; i <= n; i++) { scanf("%d", &mas[i]); int d = sum(mas[i] - 1); modify(mas[i], d + 1); res = max(res, d + 1); } cout << res << endl; return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; int n, h[200005], f[200005], stk[200005], top, ans; void init() { scanf("%d", &n); for (int i = 1; i <= n; i++) scanf("%d", &h[i]); } void work() { for (int i = 1; i <= n; i++) { int res = 0; for (int x = h[i]; x; x -= (x & -x)) res = max(res, f[x]); for (int x = h[i]; x <= n; x += (x & -x)) f[x] = max(f[x], res + 1); } int res = 0; for (int x = n; x; x -= (x & -x)) res = max(res, f[x]); printf("%d\n", res); } int main() { init(); work(); }
8
CPP
#include <bits/stdc++.h> using namespace std; int n, N; int bit[100009], ar[1000009]; void update(int idx, int val) { while (idx <= n) { bit[idx] = max(bit[idx], val); idx += (idx & -idx); } } int query(int index) { int ans = 0; while (index > 0) { ans = max(ans, bit[index]); index -= index & (-index); } return ans; } int main() { cin >> n; int ans = 0; for (int i = 0; i < n; i++) { int a; cin >> a; int temp = query(a); temp++; ans = max(ans, temp); update(a, temp); } cout << ans << endl; }
8
CPP
#include <bits/stdc++.h> using namespace std; int N; int A[100002], D[100002]; int result; int AIB[100002]; void update(int pos, int val) { for (; pos <= 100000; pos += pos & -pos) AIB[pos] = max(AIB[pos], val); } int query(int pos) { int resnow = 0; for (; pos >= 1; pos -= pos & -pos) resnow = max(resnow, AIB[pos]); return resnow; } int main() { cin >> N; for (int i = 1; i <= N; ++i) cin >> A[i]; for (int i = 1; i <= N; ++i) { D[i] = query(A[i] - 1) + 1; update(A[i], D[i]); result = max(result, D[i]); } cout << result << '\n'; }
8
CPP
#include <bits/stdc++.h> using namespace std; struct _ { ios_base::Init i; _() { cin.sync_with_stdio(0); cin.tie(0); } } _; set<int> s; int main() { int n, a; cin >> n; for (int i = (0); i < ((n)); i++) { cin >> a; pair<typeof(s.begin()), bool> r = s.insert(a); if (r.second) { if (++(r.first) != s.end()) { s.erase(r.first); } } } cout << s.size() << endl; return 0; }
8
CPP
import sys,math as mt import heapq as hp import collections as cc import math as mt import itertools as it input=sys.stdin.readline I=lambda:list(map(int,input().split())) def CeilIndex(A, l, r, key): while (r - l > 1): m = l + (r - l)//2 if (A[m] >= key): r = m else: l = m return r def lis(A, size): tailTable = [0 for i in range(size + 1)] len = 0 tailTable[0] = A[0] len = 1 for i in range(1, size): if (A[i] < tailTable[0]): tailTable[0] = A[i] elif (A[i] > tailTable[len-1]): tailTable[len] = A[i] len+= 1 else: tailTable[CeilIndex(tailTable, -1, len-1, A[i])] = A[i] return len n,=I() l=I() print(lis(l,n))
8
PYTHON3
#include <bits/stdc++.h> using namespace std; vector<int> Q; int main() { int n; scanf("%d", &n); for (int i = 0; i < n; i++) { int a; cin >> a; int pos = upper_bound(Q.begin(), Q.end(), a) - Q.begin(); if (pos == Q.size()) Q.push_back(a); else Q[pos] = a; } printf("%d\n", (int)Q.size()); return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; int d[100005]; int find(int l, int r, int x) { if (l == r) return l; int mid = (l + r) >> 1; if (d[mid] > x) return find(l, mid, x); else return find(mid + 1, r, x); } int main() { int n; scanf("%d", &n); d[0] = -1; int temp = 0; for (int i = 1; i <= n; i++) { int x; scanf("%d", &x); if (x >= d[temp]) d[++temp] = x; else d[find(1, temp, x)] = x; } printf("%d\n", temp); return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; const int INF = 0x3f3f3f3f; const int mod = 1e9 + 7; const int N = 1e6 + 10; int n, m; int a[N], b[N]; int LIS() { int len = 1; b[1] = a[1]; for (int i = 2; i <= n; ++i) { if (a[i] > b[len]) b[++len] = a[i]; else { int j = lower_bound(b + 1, b + 1 + len, a[i]) - b; b[j] = a[i]; } } return len; } int main(void) { ios::sync_with_stdio(0); cin.tie(0); cin >> n; for (int i = 1; i <= n; ++i) cin >> a[i]; cout << LIS() << endl; return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; vector<int> d, a; int n, t; int main() { cin >> n; while (n--) cin >> t, a.push_back(t); for (auto i : a) if (lower_bound(d.begin(), d.end(), i) == d.end()) d.push_back(i); else *lower_bound(d.begin(), d.end(), i) = i; cout << d.size(); }
8
CPP
#include <bits/stdc++.h> using namespace std; int arr[100100], N; int solve() { vector<int> v; for (int i = 0; i < N; i++) { vector<int>::iterator it = upper_bound(v.begin(), v.end(), arr[i]); if (it == v.end()) v.push_back(arr[i]); else *it = arr[i]; } return v.size(); } int main() { cin >> N; for (int i = 0; i < N; i++) cin >> arr[i]; cout << solve() << '\n'; return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; int n, p; int arr[100010]; int lis[100010]; int main() { cin >> n; for (int i = 0; i < n; i++) { cin >> arr[i]; lis[i] = n + 1; } for (int i = 0; i < n; i++) { int idx = lower_bound(lis, lis + p + 1, arr[i]) - lis; lis[idx] = arr[i]; if (idx == p) p++; } cout << p << endl; return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; int a[100009], g[100009], d[100009]; int main() { int n; scanf("%d", &n); for (int i = 0; i < n; i++) scanf("%d", &a[i]); for (int i = 1; i <= n; i++) g[i] = 0x7fffffff; for (int i = 0; i < n; i++) { int k = lower_bound(g + 1, g + n + 1, a[i]) - g; d[i] = k; g[k] = a[i]; } int ans = 0; for (int i = 0; i < n; i++) ans = max(ans, d[i]); printf("%d", ans); }
8
CPP
#include <bits/stdc++.h> using namespace std; const int INF = 0x3f3f3f3f; const long long INFLL = 0x3f3f3f3f3f3f3f3fLL; inline long long read() { long long x = 0, f = 1; char ch = getchar(); while (ch < '0' || ch > '9') { if (ch == '-') f = -1; ch = getchar(); } while (ch >= '0' && ch <= '9') { x = x * 10 + ch - '0'; ch = getchar(); } return x * f; } const int maxn = 1e5 + 10; int n, dp[maxn], a[maxn]; int main() { cin >> n; for (int i = 0; i < n; i++) { scanf("%d", &a[i]); } int ans = 0; memset(dp, INF, sizeof(dp)); for (int i = 0; i < n; i++) { int pos = lower_bound(dp, dp + n, a[i]) - dp; dp[pos] = a[i]; ans = max(ans, pos + 1); } cout << ans << endl; return 0; }
8
CPP
#include <bits/stdc++.h> #pragma GCC optimize("O3") #pragma GCC diagnostic push #pragma GCC diagnostic ignored "-Wall" #pragma GCC diagnostic ignored "-Wextra" #pragma GCC diagnostic ignored "-Wconversion" using namespace std; const int N = 1005, OO = 0x3f3f3f3f; int arr[100001], n, idx; vector<int> lis; int main() { scanf("%d", &n); for (int i = 0; i < n; i++) scanf("%d", arr + i); lis.push_back(arr[0]); for (int i = 1; i < n; i++) { idx = lower_bound(lis.begin(), lis.end(), arr[i]) - lis.begin(); if (idx == lis.size()) lis.push_back(arr[i]); else lis[idx] = arr[i]; } printf("%d", lis.size()); }
8
CPP
#include <bits/stdc++.h> int inp[100002]; int res[100002]; int dp[100002]; int dpn; int min(int a, int b) { return (a < b) ? a : b; } int max(int a, int b) { return (a > b) ? a : b; } int main() { int n, i, s, e, m, r = 0; scanf("%d", &n); for (i = 0; i < n; i++) { scanf("%d", inp + i); } res[0] = 1; dp[0] = inp[0]; dpn = 0; for (i = 1; i < n; i++) { if (inp[i] < dp[0]) { dp[0] = inp[i]; res[i] = 1; } else if (inp[i] > dp[dpn]) { dpn++; dp[dpn] = inp[i]; res[i] = dpn + 1; } else { s = 0; e = dpn + 1; while (e - s > 1) { m = (s + e) / 2; (dp[m] < inp[i]) ? s = m : e = m; } res[i] = s + 2; dp[s + 1] = min(dp[s + 1], inp[i]); } } for (i = 0; i < n; i++) { r = max(r, res[i]); } printf("%d", r); }
8
CPP
def CeilIndex(A, l, r, key): while (r - l > 1): m = l + (r - l)//2 if (A[m] >= key): r = m else: l = m return r def LongestIncreasingSubsequenceLength(A, size): # Add boundary case, # when array size is one tailTable = [0 for i in range(size + 1)] len = 0 # always points empty slot tailTable[0] = A[0] len = 1 for i in range(1, size): if (A[i] < tailTable[0]): # new smallest value tailTable[0] = A[i] elif (A[i] > tailTable[len-1]): # A[i] wants to extend # largest subsequence tailTable[len] = A[i] len+= 1 else: # A[i] wants to be current # end candidate of an existing # subsequence. It will replace # ceil value in tailTable tailTable[CeilIndex(tailTable, -1, len-1, A[i])] = A[i] return len N = int(input()) List = [int(x) for x in input().split()] print(LongestIncreasingSubsequenceLength(List,N))
8
PYTHON3
""" Python 3 compatibility tools. """ from __future__ import division, print_function import itertools import sys import os from io import BytesIO, IOBase if sys.version_info[0] < 3: input = raw_input range = xrange filter = itertools.ifilter map = itertools.imap zip = itertools.izip def is_it_local(): script_dir = str(os.getcwd()).split('/') username = "dipta007" return username in script_dir def READ(fileName): if is_it_local(): sys.stdin = open(f'./{fileName}', 'r') # region fastio BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None def read(self): while True: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") if not is_it_local(): sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) input = lambda: sys.stdin.readline().rstrip("\r\n") # endregion def input1(type=int): return type(input()) def input2(type=int): [a, b] = list(map(type, input().split())) return a, b def input3(type=int): [a, b, c] = list(map(type, input().split())) return a, b, c def input_array(type=int): return list(map(type, input().split())) def input_string(): s = input() return list(s) ############################################################## #Given a list of numbers of length n, this routine extracts a #longest increasing subsequence. # #Running time: O(n log n) # # INPUT: a vector of integers # OUTPUT: a vector containing the longest increasing subsequence def lower_bound(nums, target): l, r = 0, len(nums) - 1 res = len(nums) while l <= r: mid = int(l + (r - l) / 2) if nums[mid] >= target: res = mid r = mid - 1 else: l = mid + 1 return res def upper_bound(nums, target): l, r = 0, len(nums) - 1 res = len(nums) while l <= r: mid = int(l + (r - l) / 2) if nums[mid] > target: r = mid - 1 res = mid else: l = mid + 1 return res def LIS(v, STRICTLY_INCREASING = False): best = [] dad = [-1 for _ in range(len(v))] for i in range(len(v)): if STRICTLY_INCREASING: item = (v[i], 0) pos = lower_bound(best, item) item.second = i else: item = (v[i], i) pos = upper_bound(best, item) if pos == len(best): dad[i] = -1 if len(best) == 0 else best[-1][1] best.append(item) else: dad[i] = -1 if pos == 0 else best[pos-1][1] best[pos] = item # print(pos, best) # ret = [] i = best[-1][1] cnt = 0 while i >= 0: # ret.append(v[i]) cnt += 1 i = dad[i] # ret.reverse() return cnt def main(): n = input1() v = input_array() print(LIS(v)) pass if __name__ == '__main__': READ('in.txt') main()
8
PYTHON3
#include <bits/stdc++.h> using namespace std; const int inf = 1 << 30; const long long INF = (long long)1 << 62; const int mod = 1e9 + 7; const int maxn = 1e6 + 5; int n, a[maxn]; vector<int> v; int main() { ios_base::sync_with_stdio(0), cin.tie(0); cin >> n; for (int i = 0; i < n; i++) cin >> a[i]; v.push_back(a[0]); for (int i = 1; i < n; i++) { auto t = lower_bound(v.begin(), v.end(), a[i]); int it = t - v.begin(); if (it == ((int)(v).size())) v.push_back(a[i]); else if (a[i] < v[it]) v[it] = a[i]; } cout << ((int)(v).size()) << endl; return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; const int maxn = 100010; const int maxm = 310; const int N = 20010; const int INF = 0x3f3f3f3f; const int mod = 1000000007; int n, m; int a[maxn]; int dp[maxn]; int d[maxn]; int sc(int x, int right) { int left = 1; int mid; int ret = 0; while (left <= right) { mid = (left + right) >> 1; if (x > d[mid]) { ret = mid; left = mid + 1; } else { right = mid - 1; } } return ret; } int main() { int i, j; scanf("%d", &n); for (i = 1; i <= n; i++) { scanf("%d", &a[i]); } d[1] = a[1]; int len = 1; for (i = 2; i <= n; i++) { int x; if (d[len] < a[i]) { x = ++len; } else { x = sc(a[i], len) + 1; } d[x] = a[i]; } printf("%d\n", len); return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; const int maxn = (int)1e6; int a[maxn], T[maxn * 2], dp[maxn]; int n; int findMax(int l, int r) { l += n - 1; r += n - 1; int res = 0; while (l <= r) { if (l & 1) res = max(res, T[l]); if (!(r & 1)) res = max(res, T[r]); l = (l + 1) >> 1; r = (r - 1) >> 1; } return res; } void update(int v, int x) { v += n - 1; T[v] = max(T[v], x); while (v > 1) { v >>= 1; T[v] = max(T[v + v], T[v + v + 1]); } } int main() { scanf("%d", &n); for (int i = 0; i < n; ++i) scanf("%d", &a[i]); int ans = 0; for (int i = 0; i < n; ++i) { dp[i] = findMax(1, a[i] - 1) + 1; update(a[i], dp[i]); ans = max(ans, dp[i]); } cout << ans << endl; return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; inline int in() { int x; scanf("%d", &x); return x; } const int N = 1e5 + 10; const int MOD = 1e9 + 7; const long double eps = 1e-12; int n, d[N], a[N], mp[N], dp[N], fen[N], ans; void upd(int ind, int val) { while (ind < N) fen[ind] = max(fen[ind], val), ind += ind & -ind; } int get(int ind) { int ret = 0; while (ind > 0) ret = max(ret, fen[ind]), ind -= ind & -ind; return ret; } int main() { n = in(); for (int i = 0; i < n; i++) a[i] = in(), mp[i] = a[i]; sort(mp, mp + n); for (int i = 0; i < n; i++) a[i] = lower_bound(mp, mp + n, a[i]) - mp + 1; dp[0] = 1; d[a[0]] = 1; upd(a[0], 1); for (int i = 1; i < n; i++) { int x = a[i]; dp[i] = get(x) + 1; upd(x, dp[i]); ans = max(ans, dp[i]); } cout << ans; return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; int BIT[10000001]; int A[10000001], maxVal = 10000001; int query(int x) { int ans = 0; while (x > 0) { ans = max(ans, BIT[x]); x -= (x & -x); } return ans; } void update(int x, int value) { while (x <= maxVal) { BIT[x] = max(BIT[x], value); x += (x & -x); } } int main() { int N; cin >> N; for (int i = 0; i < N; ++i) { cin >> A[i]; } int ans = 0; for (int i = 0; i < N; i++) { int temp = query(A[i]); ans = max(ans, temp + 1); update(A[i], temp + 1); } cout << ans << endl; return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; int A[100005]; set<int> st; int main() { int i, ans, n; while (scanf("%d", &n) != EOF) { st.clear(); set<int>::iterator it; for (i = 1; i <= n; i++) { scanf("%d", &A[i]); if (st.size()) { it = st.lower_bound(A[i]); if (it != st.end()) { st.erase(it); } } st.insert(A[i]); } printf("%d\n", st.size()); } return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; const int maxn = 200000 + 10; int n, a[maxn], dp[maxn]; int main() { scanf("%d", &n); for (int i = 1; i <= n; i++) scanf("%d", &a[i]); dp[0] = 0; for (int i = 1; i <= n; i++) dp[i] = 2 * n; for (int i = 1; i <= n; i++) { int p = upper_bound(dp, dp + 1 + n, a[i]) - dp; dp[p] = a[i]; } int len = 0; for (int i = 1; i <= n; i++) if (dp[i] <= n) len++; else break; printf("%d\n", len); return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; const long long mod = 1e9 + 7; const long long inf = LLONG_MAX; const long long N = 1e5 + 10; long long CeilIndex(std::vector<long long> &v, long long l, long long r, long long key); long long LongestIncreasingSubsequenceLength(std::vector<long long> &v); int main() { ios_base ::sync_with_stdio(0); cin.tie(0); cout.tie(0); long long n; cin >> n; vector<long long> a(n); for (long long i = 0; i < n; cin >> a[i++]) ; cout << LongestIncreasingSubsequenceLength(a) << endl; return 0; } long long CeilIndex(std::vector<long long> &v, long long l, long long r, long long key) { while (r - l > 1) { long long m = l + (r - l) / 2; if (v[m] >= key) r = m; else l = m; } return r; } long long LongestIncreasingSubsequenceLength(std::vector<long long> &v) { if (v.size() == 0) return 0; std::vector<long long> tail(v.size(), 0); long long length = 1; tail[0] = v[0]; for (long long i = 1; i < v.size(); i++) { if (v[i] < tail[0]) tail[0] = v[i]; else if (v[i] > tail[length - 1]) tail[length++] = v[i]; else tail[CeilIndex(tail, -1, length - 1, v[i])] = v[i]; } return length; }
8
CPP
#include <bits/stdc++.h> using namespace std; const int N = 1e5 + 10; const int inf = 1e9 + 10; int a[N], dp[N]; bool isVal(int x, int y) { return (y < dp[x]); } int main() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); int n; cin >> n; for (int i = 0; i < n; i++) cin >> a[n - i]; fill(dp, dp + N, -inf); dp[0] = 0; dp[1] = a[1]; for (int i = 2; i <= n; i++) { int l = 0, r = n + 1; while (r - l > 1) { int mid = (l + r) / 2; if (isVal(mid, a[i])) l = mid; else r = mid; } dp[l + 1] = a[i]; } int ans = 1; for (int i = 1; i <= n; i++) if (dp[i] != -inf) ans = i; cout << ans; return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; int n; int a[100001]; int A[100001]; int main() { scanf("%d", &n); for (int i = int(0); i < int(n); i++) scanf("%d", a + i); vector<int> A(n, 12345678); vector<int> id(n); for (int i = int(0); i < int(n); i++) { id[i] = distance(A.begin(), lower_bound(A.begin(), A.end(), a[i])); A[id[i]] = a[i]; } cout << *max_element(id.begin(), id.end()) + 1 << endl; }
8
CPP
#include <bits/stdc++.h> using namespace std; void find_lis(vector<int> &a, vector<int> &b) { vector<int> p(a.size()); int u, v; if (a.empty()) return; b.push_back(0); for (size_t i = 1; i < a.size(); i++) { if (a[b.back()] < a[i]) { p[i] = b.back(); b.push_back(i); continue; } for (u = 0, v = b.size() - 1; u < v;) { int c = (u + v) / 2; if (a[b[c]] < a[i]) u = c + 1; else v = c; } if (a[i] < a[b[u]]) { if (u > 0) p[i] = b[u - 1]; b[u] = i; } } for (u = b.size(), v = b.back(); u--; v = p[v]) b[u] = v; } int a[100010]; int main() { ios_base::sync_with_stdio(false), cin.tie(0), cout.tie(0), cerr << ""; int n; cin >> n; for (int i = 0; i < n; i++) cin >> a[i]; vector<int> seq(a, a + sizeof(a) / sizeof(a[0])); vector<int> lis; find_lis(seq, lis); cout << lis.size(); return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; const int MAXN = 100010, INF = ~0U >> 2; int n, A[MAXN], D[MAXN], res; void init() { scanf("%d", &n); for (int i = 0; i < n; i++) scanf("%d", &A[i]); } void solve() { D[0] = -INF; int l, r, mid, x; res = 0; for (int i = 0; i < n; i++) { x = A[i]; if (x > D[res]) D[++res] = x; else { l = 0; r = res; while (l < r) { mid = l + r + 1 >> 1; if (x > D[mid]) l = mid; else r = mid - 1; } D[l + 1] = x; } } } void pri() { printf("%d\n", res); } int main() { init(); solve(); pri(); return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; const int MAXN = 100005; int tree[4 * MAXN]; void build_tree(int v, int tl, int tr) { if (tl == tr) { tree[v] = 0; return; } int mid = (tl + tr) / 2; build_tree(2 * v, tl, mid); build_tree(2 * v + 1, mid + 1, tr); tree[v] = 0; } int get_max_tree(int v, int tl, int tr, int l, int r) { if (tl > r || tr < l) return 0; l = max(tl, l); r = min(tr, r); if (tl == l && tr == r) return tree[v]; int mid = (tl + tr) / 2; return max(get_max_tree(2 * v, tl, mid, l, r), get_max_tree(2 * v + 1, mid + 1, tr, l, r)); } void modify(int v, int tl, int tr, int pos, int val) { if (tl == tr) { tree[v] = val; return; } int mid = (tl + tr) / 2; if (pos <= mid) modify(2 * v, tl, mid, pos, val); else modify(2 * v + 1, mid + 1, tr, pos, val); tree[v] = max(tree[2 * v], tree[2 * v + 1]); } int main(void) { int N, a; cin >> N; build_tree(1, 1, N); for (int i = 1; i <= N; i++) { cin >> a; int best = max(1, get_max_tree(1, 1, N, 1, a) + 1); modify(1, 1, N, a, best); } cout << get_max_tree(1, 1, N, 1, N) << endl; return 0; }
8
CPP
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:134217728") using namespace std; int n, a[110000]; vector<int> d; int main() { cin >> n; d.push_back(-1000000007); for (int i = (1); i < (n + 2); ++i) d.push_back(1000000007); for (int i = (0); i < (n); ++i) scanf("%d", &a[i]); int j; for (int i = (0); i < (n); ++i) { j = (upper_bound(d.begin(), d.end(), a[i]) - d.begin()); if (d[j - 1] < a[i] && a[i] < d[j]) d[j] = a[i]; } j = 0; while (d[j + 1] != 1000000007) j++; cout << j << endl; return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; const int MX = 300000; int n, arr[MX], bit[MX], ans = 0, lis; void update(int x, int V) { while (x <= n) { bit[x] = max(bit[x], V); x += x & -x; } } int get(int x) { int ret = 0; while (x > 0) { ret = max(ret, bit[x]); x -= x & -x; } return ret; } int main() { scanf("%d", &n); memset(bit, 0, sizeof(bit)); for (int j = 1; j <= n; j++) { scanf("%d", &arr[j]); lis = get(arr[j]) + 1; update(arr[j] + 1, lis); ans = max(ans, lis); } cout << ans << endl; }
8
CPP
#include <bits/stdc++.h> using namespace std; int n; vector<int> a; int ft[1000000]; int get_max(int pos) { if (pos == 0) return 0; return max(ft[pos], get_max(pos - (pos & (-pos)))); } void upt_max(int pos, int val) { if (pos >= 1000000) return; ft[pos] = max(ft[pos], val); upt_max(pos + (pos & (-pos)), val); } int ans; int main() { cin >> n; a.resize(n); for (int i = 0; i < n; ++i) { cin >> a[i]; } for (int i = 0; i < a.size(); ++i) { int t = get_max(a[i] - 1) + 1; ans = max(ans, t); upt_max(a[i], t); } cout << ans << '\n'; }
8
CPP
#include <bits/stdc++.h> using namespace std; int n, A[123457], T[4 * 123457]; int res; int sum(int x) { int ans = 0; while (x > 0) { ans = ans > T[x] ? ans : T[x]; x -= (x & -x); } return ans; } void up(int x, int val) { while (x <= n) { T[x] = max(T[x], val); x += (x & -x); } } int main() { cin >> n; for (int i = 1; i <= n; i++) { cin >> A[i]; } up(A[1], 1); for (int i = 2; i <= n; i++) { int a = sum(A[i]); up(A[i], a + 1); res = res > a + 1 ? res : a + 1; } cout << res; return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; const int INF = 1000000007; int n, a[100005], h[100005]; int main() { int ans = 0; scanf("%d", &n); for (int i = 0; i < n; i++) { scanf("%d", a + i); h[i + 1] = INF; int lo = 0, hi = i; while (lo < hi) { int m = (lo + hi + 1) / 2; if (a[i] > h[m]) lo = m; else hi = m - 1; } ans = max(ans, ++lo); h[lo] = a[i]; } printf("%d\n", ans); if (0) { int b[10]; for (int i = 0; i < n; i++) a[i] = i; do { set<int> e[200]; for (int i = 0; i < n; i++) b[i] = a[i]; bool ok = true; while (ok) { ok = false; for (int i = 1; i < n; i++) { if (b[i - 1] > b[i]) { ok = true; e[b[i - 1]].insert(b[i]); e[b[i]].insert(b[i - 1]); swap(b[i - 1], b[i]); } } } int mask = (1 << n) - 1, ans = 0, tag = 0; for (int s = 0; s <= mask; s++) { ok = true; int cnt = __builtin_popcount(s); if (cnt <= ans) continue; for (int i = 0; i < n; i++) if (s & 1 << i) for (int j = 0; j < i; j++) if (s & 1 << j) if (e[i].count(j) || e[j].count(i)) i = j = n, ok = false; if (ok) { ans = cnt; tag = s; } } printf("result = %d for list", ans); for (int i = 0; i < n; i++) printf(" %d", a[i]); printf(", set ="); for (int i = 0; i < n; i++) if (tag & 1 << i) printf(" %d", i); puts(""); } while (next_permutation(a, a + n)); } }
8
CPP
#include <bits/stdc++.h> using namespace std; int INP, AM, REACHEOF; const int BUFSIZE = (1 << 12) + 17; char BUF[BUFSIZE + 1], *inp = BUF; const int MN = 100111; int n, a[MN], f[MN], bit[MN]; int get(int u) { int res = 0; for (int x = u; x > 0; x -= ((x) & (-(x)))) res = max(res, bit[x]); return res; } void update(int u, int k) { for (int x = u; x <= n; x += ((x) & (-(x)))) bit[x] = max(bit[x], k); } int main() { ios ::sync_with_stdio(false); while (cin >> n) { for (int i = (1), _b = (n); i <= _b; i++) cin >> a[i]; memset(bit, 0, sizeof bit); int res = 0; for (int i = (1), _b = (n); i <= _b; i++) { f[i] = get(a[i]) + 1; update(a[i], f[i]); res = max(res, f[i]); } cout << res << endl; } return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; const long long mod = 1e9 + 7; const double eps = 1e-9; const double PI = atan(1.0); const int N = 100001; int n; int tree[N * 4]; int query(int node, int l, int r, int ll, int rr) { if (l > rr || r < ll || r < l || rr < ll) return 0; if (l >= ll && r <= rr) return tree[node]; int mid = (l + r) >> 1; int n1 = query(node << 1, l, mid, ll, rr); int n2 = query(node << 1 | 1, mid + 1, r, ll, rr); return max(n1, n2); } void insert(int node, int l, int r, int idx) { if (l == r) { tree[node] = query(1, 1, n, 1, idx - 1) + 1; return; } int mid = (l + r) >> 1; if (idx <= mid) insert(node << 1, l, mid, idx); else insert(node << 1 | 1, mid + 1, r, idx); tree[node] = max(tree[node << 1], tree[node << 1 | 1]); } int main() { ios::sync_with_stdio(0); ; cin >> n; memset(tree, 0, sizeof(tree)); for (int i = 1; i <= n; i++) { int num; cin >> num; insert(1, 1, n, num); } cout << tree[1]; }
8
CPP
#include <bits/stdc++.h> using namespace std; int main() { int n; cin >> n; vector<int> a(n); for (int i = 0; i < n; i++) cin >> a[i]; vector<int> d(n + 1, 1e9); d[0] = 0; int ans = 0; for (int i = 0; i < n; i++) { int l = 0, r = n; while (l < r - 1) { int c = (l + r) / 2; if (d[c] < a[i]) l = c; else r = c; } d[l + 1] = a[i]; ans = max(ans, l + 1); } cout << ans; return 0; }
8
CPP
#include <bits/stdc++.h> int ceilElement(int a[], int start, int end, int key) { while (end - start > 1) { int mid = start + (end - start) / 2; if (a[mid] >= key) { end = mid; } else { start = mid; } } return end; } int longestIncreasingSubsequence(int input[], int size) { if (!size) return 0; int a[size]; int length = 1; a[0] = input[0]; for (int i = 1; i < size; i++) { if (input[i] < a[0]) { a[0] = input[i]; } else if (input[i] > a[length - 1]) { a[length++] = input[i]; } else a[ceilElement(a, -1, length - 1, input[i])] = input[i]; } return length; } int main() { int n; scanf("%d", &n); int a[n]; for (int i = 0; i < n; i++) { scanf("%d", &a[i]); } int size = sizeof(a) / sizeof(a[0]); printf("%d", longestIncreasingSubsequence(a, size)); return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; long long i, j, n, m, k, x, y, l, r; long long res, ans, cur; string s, q, s1, s2; char ch1, ch2, ch3; long long a[500000], b[500000]; bool f11[500000], f12[500000]; bool fix[500000]; vector<long long> g[500000], c[500000]; long long X(long long A, long long B, long long P) { if (!B) return 1; if (B == 1) return (A % P); long long C = X(A, B / 2, P); C *= C; C %= P; if (B % 2) C *= A; return C % P; } long long UG(long long A, long long B) { if (A > B) return UG(B, A); if (A == 0) return B; if (A == 1) return 1; return UG(B % A, A); } long long UJ(long long A, long long B) { long long C = UG(A, B); A /= C; A *= B; return A; } long long d[5000000]; int main() { cin >> n; for (i = 1; i <= n; i++) cin >> a[i]; d[0] = -10; d[1] = a[1]; for (i = 2; i <= n; i++) d[i] = 1000000000; for (i = 2; i <= n; i++) { l = 0; r = (i - 1); while (l + 1 < r) { m = (l + r) / 2; if (d[m] < a[i]) l = m; else r = m - 1; } if (d[r] < a[i]) d[r + 1] = min(d[r + 1], a[i]); else if (d[l] < a[i]) d[l + 1] = min(d[l + 1], a[i]); } for (i = n; i >= 1; i--) if (d[i] != 1000000000) break; cout << i << endl; }
8
CPP
#include <bits/stdc++.h> using namespace std; const int maxn = 1000 * 1000; long long a[maxn]; long long b[maxn]; int bs(int from, int to, int m); int main() { int n; cin >> n; for (int i = 1; i <= n; i++) cin >> a[i]; int last = 1; b[1] = a[1]; for (int i = 2; i <= n; i++) { int x = bs(1, last, a[i]); if (x > last) last = x; b[x] = a[i]; } cout << last << endl; return 0; } int bs(int from, int to, int m) { while (to - from + 1 > 4) { if (m > b[(to - from) / 2 + from]) { from = ((to - from) / 2) + 1 + from; } else { to = (to - from) / 2 + from; } } for (int i = from; i <= to; i++) { if (m < b[i]) return i; } return to + 1; }
8
CPP
#include <bits/stdc++.h> using namespace std; const long long INF = 1e16; long long lis(vector<long long> const& a) { long long n = a.size(); vector<long long> d(n + 1, INF); d[0] = -INF; for (long long i = 0; i < n; i++) { long long j = upper_bound(d.begin(), d.end(), a[i]) - d.begin(); if (d[j - 1] < a[i] && a[i] < d[j]) d[j] = a[i]; } long long ans = 0; for (long long i = 0; i <= n; i++) if (d[i] < INF) ans = i; return ans; } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); long long n; cin >> n; vector<long long> vec(n); for (long long i = 0; i < n; i++) cin >> vec[i]; cout << lis(vec) << endl; return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; int main() { int n; cin >> n; int ss[100010] = {0}, top = 0; for (int i = 0; i < n; i++) { int in; cin >> in; if (in > ss[top]) { ss[++top] = in; } else { int pos = lower_bound(ss, ss + top + 1, in) - ss; ss[pos] = in; } } cout << top << endl; return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; const int M = 1e5 + 20; int a[M], lis[M], sz; int main() { int n; cin >> n; for (int i = 0; i < n; i++) cin >> a[i]; for (int i = 0; i < n; i++) { int ind = lower_bound(lis, lis + sz, a[i]) - lis; lis[ind] = a[i]; if (ind == sz) sz++; } cout << sz << "\n"; return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; const int inf = 0x3f3f3f3f; const long long infLL = 0x3f3f3f3f3f3f3f3fLL; const int hash_mod = 1000037; const int maxn = 100000 + 5; int n; int a[maxn], g[maxn]; int main() { int res = 0; scanf("%d", &n); memset(g, 0x3f, sizeof(g)); for (int i = 0; i < n; ++i) { int x; scanf("%d", &x); int k = lower_bound(g + 1, g + n + 1, x) - g; res = max(res, k); g[k] = x; } printf("%d\n", res); return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; int main() { ios_base::sync_with_stdio(false); int n; cin >> n; int a[n]; for (int i = 0; i < n; i++) { cin >> a[i]; } set<int> s; for (int i = 0; i < n; i++) { set<int>::iterator it; if (s.insert(a[i]).second) { it = s.find(a[i]); it++; if (it != s.end()) { s.erase(*it); } } } cout << s.size() << "\n"; }
8
CPP
#include <bits/stdc++.h> using namespace std; void _fill_int(int* p, int val, int rep) { int i; for (i = 0; i < rep; i++) p[i] = val; } int GETi() { int i; scanf("%d", &i); return i; } template <class T> T sqr(T val) { return val * val; } int N; vector<int> A; void solve() { int f, r, i, j, k, l, x, y, y2; cin >> N; for (i = 0; i < N; i++) A.push_back(GETi() - 1); vector<int> AA(N, N + 1); vector<int> ID(N); for (i = 0; i < N; i++) { vector<int>::iterator it = lower_bound(AA.begin(), AA.end(), A[i]); ID[i] = distance(AA.begin(), it); AA[ID[i]] = A[i]; } printf("%d\n", 1 + *max_element(ID.begin(), ID.end())); return; } int main(int argc, char** argv) { if (argc > 1) freopen(argv[1], "r", stdin); solve(); return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; const int MAXN = 1e5 + 10; int a[MAXN]; vector<int> v; int main() { int n; cin >> n; for (int i = 0; i < n; i++) cin >> a[i]; for (int i = 0; i < n; i++) { int l = lower_bound(v.begin(), v.end(), a[i]) - v.begin(); if (l == v.size()) v.push_back(a[i]); else v[l] = a[i]; } cout << v.size() << endl; return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; template <class T> T min(const T& a, const T& b, const T& c) { return min(min(a, b), min(a, c)); } template <class T> T max(const T& a, const T& b, const T& c) { return max(max(a, b), max(a, c)); } void debug() {} int getch() { int ch; while ((ch = getchar()) != EOF) { if (ch != ' ' && ch != ' ') return ch; } return EOF; } int dp[100100]; int main() { int n; while (scanf("%d", &n) != EOF) { int maxx = 0; for (int i = 1; i <= n; i++) { int v; scanf("%d", &v); int pos = lower_bound(dp, dp + maxx, v) - dp; if (pos == maxx) { dp[maxx++] = v; } else dp[pos] = v; } printf("%d\n", maxx); } return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; class fenwick_tree { private: int N; int* bit; public: fenwick_tree(int n) { N = n; bit = new int[N + 1]; for (int i = 0, _n = (int)N + 1; i < _n; i++) bit[i] = 0; } void update(int x, int v) { for (int i = x; i <= N; i += i & -i) bit[i] = max(bit[i], v); } int query(int x) { int res = 0; for (int i = x; i; i -= i & -i) res = max(res, bit[i]); return res; } }; int N; int pos[100005]; int main() { cin >> N; fenwick_tree ft(N); for (int i = 0, _n = (int)N; i < _n; i++) { int x; cin >> x; pos[x - 1] = i + 1; } int res = 0; for (int i = 0, _n = (int)N; i < _n; i++) { int cur = 1 + ft.query(pos[i]); res = max(res, cur); ft.update(pos[i], cur); } cout << res << endl; }
8
CPP
#include <bits/stdc++.h> using namespace std; int LIS(const vector<int>& a) { vector<int> v; v.push_back(-1); for (int i = 0; i < a.size(); i++) if (a[i] > v.back()) v.push_back(a[i]); else *lower_bound(v.begin(), v.end(), a[i]) = a[i]; return (int)v.size() - 1; } int main() { int a, n; vector<int> v; ios::sync_with_stdio(0); cin >> n; for (int i = 0; i < n; i++) { cin >> a; v.push_back(a); } cout << LIS(v) << endl; return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; int n, a[100005], d[100005]; int f(int s, int q) { int l, r, m, ans; l = 1; r = s; while (l <= r) { m = (l + r) >> 1; if (d[m] > q) { ans = m; r = m - 1; } else { l = m + 1; } } return ans; } int lis(void) { int ans, i, x; ans = 1; d[1] = a[1]; for (i = 2; i <= n; i++) { if (a[i] < d[1]) d[1] = a[i]; else if (a[i] > d[ans]) d[++ans] = a[i]; else { x = f(ans, a[i]); d[x] = a[i]; } } return ans; } int main() { int i; cin >> n; for (i = 1; i <= n; i++) cin >> a[i]; cout << lis() << endl; return 0; }
8
CPP
def lis(a): b = [] for c in a: # if len(b) == 0 or c > b[-1] if len(b) == 0 or c > b[-1]: b.append(c) else: l = 0 r = len(b) while l < r-1: m = l+r>>1 # if b[m] <= c: l = m if b[m] < c: l = m else: r = m # if b[l] <= c: l += 1 if b[l] < c: l += 1 b[l] = c return len(b) n = int(input()) a = list(map(int, input().split())) print(lis(a)) # Made By Mostafa_Khaled
8
PYTHON3
#include <bits/stdc++.h> using namespace std; int n; const int MAXN = 100005; int ar[MAXN]; int bs[MAXN]; int main() { scanf("%d", &n); for (int i = 0; i < n; i++) { scanf("%d", ar + i); } int best = 1; bs[1] = ar[0]; for (int i = 1; i < n; i++) { if (ar[i] > bs[best]) { bs[++best] = ar[i]; } else if (ar[i] < bs[1]) { bs[1] = ar[i]; } else { int l = 1; int r = best; while (l < r) { int m = (l + r + 1) / 2; if (ar[i] > bs[m]) l = m; else r = m - 1; } bs[l + 1] = ar[i]; } } printf("%d\n", best); return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; int ar[1000000 + 100]; int main() { int n; scanf("%d", &n); for (int i = 0; i < n; i++) scanf("%d", &ar[i]); vector<int> v; v.push_back(ar[0]); for (int i = 1; i < n; i++) { auto x = lower_bound(v.begin(), v.end(), ar[i]); if (x == v.end()) v.push_back(ar[i]); else *x = ar[i]; } cout << v.size(); }
8
CPP
#include <bits/stdc++.h> using namespace std; int idx; const int N = 1e5; stack<int> sk[N]; int a[N]; int n; int FindIndx(int x) { int l = 0, r = idx, m, ans = -1; while (l <= r) { m = (l + r) >> 1; if (sk[m].top() > x) { ans = m; r = m - 1; } else l = m + 1; } return ans; } void FindLIS() { idx = 0; sk[idx].push(a[0]); for (int i = 1; i < n; i++) { int curidx = FindIndx(a[i]); if (curidx == -1) { idx++; sk[idx].push(a[i]); } else { sk[curidx].push(a[i]); } } cout << idx + 1 << "\n"; } int main() { ios::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); cin >> n; for (int i = 0; i < n; i++) { cin >> a[i]; } FindLIS(); }
8
CPP
#include <bits/stdc++.h> using namespace std; const long long mod = 1e9 + 7; const long long inf = 922337203685477; const long long mininf = -922337203685477; const long long nax = 1e5 + 5; long long n, a[nax], bit[nax]; long long sum(long long x) { long long ret = 0; for (long long i = x; i > 0; i -= i & -i) { ret = max(ret, bit[i]); } return ret; } long long upd(long long x, long long y) { for (long long i = x; i <= n; i += i & -i) { bit[i] = max(bit[i], y); } return 0; } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); cin >> n; for (long long i = 0; i < n; i++) { cin >> a[i]; } long long ans = 0, cnt = 0; for (long long i = 0; i < n; i++) { cnt = sum(a[i] - 1); ans = max(ans, cnt + 1); upd(a[i], cnt + 1); } cout << ans << '\n'; }
8
CPP
#include <bits/stdc++.h> const int maxn = 100010; int a[maxn + 1]; int f[maxn + 1]; int result; int n; void ins(int x, int v) { while (x <= n) { if (v > f[x]) f[x] = v; x += (x & (x ^ (x - 1))); } } int ask(int x) { int v = 0; while (x) { if (f[x] > v) v = f[x]; x -= (x & (x ^ (x - 1))); } return v; } void init() { int i; scanf("%d", &n); for (i = 1; i <= n; ++i) scanf("%d", &a[i]); } void work() { int i, j; result = 0; for (i = 1; i <= n; ++i) { j = 1 + ask(a[i] - 1); if (j > result) result = j; ins(a[i], j); } } void output() { printf("%d\n", result); } int main() { init(); work(); output(); return 0; }
8
CPP
def lis(a): b = [] for c in a: # if len(b) == 0 or c > b[-1] if len(b) == 0 or c > b[-1]: b.append(c) else: l = 0 r = len(b) while l < r-1: m = l+r>>1 # if b[m] <= c: l = m if b[m] < c: l = m else: r = m # if b[l] <= c: l += 1 if b[l] < c: l += 1 b[l] = c return len(b) n = int(input()) a = list(map(int, input().split())) print(lis(a))
8
PYTHON3
#include <bits/stdc++.h> using namespace std; int n; int in[100005]; set<pair<int, int> > S; set<pair<int, int> >::iterator it; int main() { scanf("%d", &n); for (int i = 0; i < n; ++i) scanf("%d", in + i); S.insert(make_pair(0, 0)); for (int i = 0; i < n; ++i) { S.insert(make_pair(in[i], 0)); it = S.find(make_pair(in[i], 0)); --it; int a = (*it).second; ++a; ++it; S.erase(it); S.insert(make_pair(in[i], a)); it = S.find(make_pair(in[i], a)); ++it; while (it != S.end()) { if ((*it).second <= a) { S.erase(it); it = S.find(make_pair(in[i], a)); ++it; continue; } break; } } int rez = 0; for (it = S.begin(); it != S.end(); ++it) { rez = max(rez, (*it).second); } printf("%d\n", rez); return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; FILE *in; FILE *out; const int MAX = 131072; const int TREE = 262144; int n; int a[MAX]; int tree[TREE]; void update(int idx, int val) { idx += (TREE >> 1); while (idx) { tree[idx] = max(tree[idx], val); idx >>= 1; } } int query(int idx) { idx += (TREE >> 1); int ret = tree[idx]; bool flag = !(idx & 1); idx >>= 1; while (idx) { if (flag) ret = max(ret, tree[(idx << 1) + 1]); flag = !(idx & 1); idx >>= 1; } return ret; } int lis() { int ans = 0; for (int i = n - 1; i >= 0; i--) { int cur = query(a[i] + 1) + 1; ans = max(ans, cur); update(a[i], cur); } return ans; } int main(void) { in = stdin; out = stdout; fscanf(in, "%d", &n); for (int i = 0; i < n; i++) fscanf(in, "%d", &a[i]); fprintf(out, "%d\n", lis()); return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; int a[100009]; int dp[100009]; int n; int binary_sch(int l, int h, int val) { int md; while (l < h) { md = (l + h) / 2; if (dp[md] < val) { l = md + 1; } else h = md; } return h; } int LIS() { dp[0] = a[0]; int len = 1; for (int i = 1; i < n; i++) { if (a[i] < dp[0]) { dp[0] = a[i]; } else if (a[i] > dp[len - 1]) { dp[len++] = a[i]; } else { int p = binary_sch(0, len - 1, a[i]); dp[p] = a[i]; } } return len; } int main() { cin >> n; for (int i = 0; i <= n - 1; i++) { cin >> a[i]; } printf("%d\n", LIS()); return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; const long long MOD = 1e9 + 7; const long long INF = 1e18; const string nl = "\n"; int32_t main() { ios::sync_with_stdio(0); cin.tie(nullptr); long long n; cin >> n; vector<long long> a(n); for (auto& i : a) { cin >> i; } vector<long long> dp; for (long long i = 0; i < n; ++i) { auto it = lower_bound(dp.begin(), dp.end(), a[i]); if (it == dp.end()) { dp.push_back(a[i]); } else { *it = a[i]; } } cout << ((long long)(dp).size()) << nl; }
8
CPP
#include <bits/stdc++.h> using namespace std; template <typename T> T min(T a, T b, T c) { return min(a, min(b, c)); } template <typename T> T max(T a, T b, T c) { return max(a, max(b, c)); } template <typename T> T max(T a, T b, T c, T d) { return max(a, max(b, max(c, d))); } template <typename T> void read(vector<T> &arr, long long N) { arr.clear(); arr.resize(N); for (long long i = 0; i < N; i++) cin >> arr[i]; } template <typename T> void read(vector<pair<T, T>> &arr, long long N) { arr.clear(); arr.resize(N); for (long long i = 0; i < (long long)arr.size(); i++) cin >> arr[i].first >> arr[i].second; } template <typename T> void read(vector<vector<T>> &arr, long long N, long long M) { arr.clear(); arr.resize(N, vector<T>(M)); for (long long i = 0; i < N; i++) { for (long long j = 0; j < M; j++) cin >> arr[i][j]; } } template <typename T, size_t N> long long SIZE(const T (&t)[N]) { return N; } template <typename T> long long SIZE(const T &t) { return t.size(); } string to_string(const string s, long long x1 = 0, long long x2 = 1e9) { return '"' + ((x1 < s.size()) ? s.substr(x1, x2 - x1 + 1) : "") + '"'; } string to_string(const char *s) { return to_string((string)s); } string to_string(const bool b) { return (b ? "true" : "false"); } string to_string(const char c) { return string({c}); } template <size_t N> string to_string(const bitset<N> &b, long long x1 = 0, long long x2 = 1e9) { string t = ""; for (long long __iii__ = min(x1, SIZE(b)), __jjj__ = min(x2, SIZE(b) - 1); __iii__ <= __jjj__; ++__iii__) { t += b[__iii__] + '0'; } return '"' + t + '"'; } template <typename A, typename... C> string to_string(const A(&v), long long x1 = 0, long long x2 = 1e9, C... coords); long long l_v_l_v_l = 0, t_a_b_s = 0; template <typename A, typename B> string to_string(const pair<A, B> &p) { l_v_l_v_l++; string res = "(" + to_string(p.first) + ", " + to_string(p.second) + ")"; l_v_l_v_l--; return res; } template <typename A, typename... C> string to_string(const A(&v), long long x1, long long x2, C... coords) { long long rnk = rank<A>::value; string tab(t_a_b_s, ' '); string res = ""; bool first = true; if (l_v_l_v_l == 0) res += '\n'; res += tab + "["; x1 = min(x1, SIZE(v)), x2 = min(x2, SIZE(v)); auto l = begin(v); advance(l, x1); auto r = l; advance(r, (x2 - x1) + (x2 < SIZE(v))); for (auto e = l; e != r; e = next(e)) { if (!first) { res += ", "; } first = false; l_v_l_v_l++; if (e != l) { if (rnk > 1) { res += '\n'; t_a_b_s = l_v_l_v_l; }; } else { t_a_b_s = 0; } res += to_string(*e, coords...); l_v_l_v_l--; } res += "]"; if (l_v_l_v_l == 0) res += '\n'; return res; } void printm() { ; } template <typename Heads, typename... Tails> void printm(Heads H, Tails... T) { cout << to_string(H) << " | "; printm(T...); } bool lexi(string &s1, string &s2) { long long I = s1.size(), J = s2.size(), i = 0, j = 0; while (i < I and j < J) { if (s1[i] > s2[j]) return true; if (s1[i] < s2[j]) return false; i++; j++; } if (I >= J) return true; return false; } struct uf { vector<long long> par, size; void init(long long N) { par.resize(N, -1); size.resize(N, 1); } long long root(long long a) { if (par[a] == -1) return a; return par[a] = root(par[a]); } void unite(long long a, long long b) { a = root(a); b = root(b); if (a == b) return; if (size[a] < size[b]) { par[a] = b; size[b] += size[a]; } else { par[b] = a; size[a] += size[b]; } } bool same(long long a, long long b) { if (root(a) == root(b)) return true; return false; } }; struct seg_tree { vector<long long> make; long long siz; vector<long long> arr; void init(vector<long long> &a, bool max, bool range) { arr.clear(); make.clear(); arr = a; siz = arr.size(); make.resize(4 * siz); if (max) build_max(0, 0, siz - 1); else if (range) build_range(0, 0, siz - 1); } long long get_max(long long L, long long R) { return Get_max(0, 0, siz - 1, L, R); } void update_max(long long index, long long val) { Update_max(0, 0, siz - 1, index, val); return; } long long get_sum(long long L, long long R) { return Get_sum(0, 0, siz - 1, L, R); } void update_range(long long index, long long add) { Update_range(0, 0, siz - 1, index, add); return; } long long build_range(long long ind, long long L, long long R) { if (L == R) { make[ind] = arr[L]; return make[ind]; } else { long long mid = (L + R) / 2; long long a = build_range(2 * ind + 1, L, mid); long long b = build_range(2 * ind + 2, mid + 1, R); make[ind] = a + b; return make[ind]; } } long long Get_sum(long long ind, long long L, long long R, long long Left, long long Right) { if (L > Right or R < Left) return 0; if (Left <= L and R <= Right) return make[ind]; long long mid = (L + R) / 2; long long a = Get_sum(2 * ind + 1, L, mid, Left, Right); long long b = Get_sum(2 * ind + 2, mid + 1, R, Left, Right); return a + b; } void Update_range(long long ind, long long L, long long R, long long index, long long add) { if (L == R) { make[ind] = add; arr[index] = add; } else { long long mid = (L + R) / 2; if (L <= index and index <= R) { Update_range(2 * ind + 1, L, mid, index, add); } else { Update_range(2 * ind + 2, mid + 1, R, index, add); } make[ind] = make[2 * ind + 1] + make[2 * ind + 2]; } } long long build_max(long long ind, long long L, long long R) { if (L == R) { make[ind] = arr[L]; return make[ind]; } else { long long mid = (L + R) / 2; return make[ind] = max(build_max(2 * ind + 1, L, mid), build_max(2 * ind + 2, mid + 1, R)); } } long long Get_max(long long ind, long long L, long long R, long long Left, long long Right) { if (R < Left or L > Right) return -1e15; if (Left <= L and R <= Right) return make[ind]; long long mid = (L + R) / 2; return max(Get_max(2 * ind + 1, L, mid, Left, Right), Get_max(2 * ind + 2, mid + 1, R, Left, Right)); } long long Update_max(long long ind, long long L, long long R, long long index, long long val) { if (L == R) { arr[index] = val; make[ind] = val; return val; } else { long long mid = (L + R) / 2; if (L <= index and index <= mid) { make[ind] = Update_max(2 * ind + 1, L, mid, index, val); } else { make[ind] = Update_max(2 * ind + 2, mid + 1, R, index, val); } make[ind] = max(make[2 * ind + 1], make[2 * ind + 2]); return make[ind]; } } }; static bool comp(pair<long long, long long> &a, pair<long long, long long> &b) { if (a.first < b.first) return true; if (a.first == b.first) { if (a.second < b.second) return true; } return false; } static bool comp1(vector<long long> &a, vector<long long> &b) { if (a[0] < b[0]) return true; if (a[0] == b[0] and a[1] > b[1]) return true; return false; } long long Max = 1e17, Min = -1e15; long long N, M, K, D; long long mod = 1e9; long long P = 93; void solve() { cin >> N; vector<long long> arr(N); for (long long i = 0; i < N; i++) { cin >> arr[i]; --arr[i]; } vector<long long> cnt(N); seg_tree var; var.init(cnt, true, false); for (long long i = 0; i < N; i++) { long long val = var.get_max(0, arr[i]) + 1; var.update_max(arr[i], val); } long long ans = 0; for (auto it : var.arr) { ans = max(ans, it); } cout << ans << '\n'; } signed main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); auto start_time = chrono::high_resolution_clock::now(); bool test = 0; if (!test) solve(); else { long long tt; cin >> tt; while (tt--) solve(); } auto end_time = chrono::high_resolution_clock::now(); return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; inline int ri() { register char c; while (1) { c = getchar(); if (c >= '0' && c <= '9') break; } register int x = 0; while (1) { x = x * 10 + c - 48; c = getchar(); if (c < '0' || c > '9') return x; } } int n, x[100010]; vector<vector<int>> s; vector<int> cur; int main() { n = ri(); for (int i = 0; i < n; i++) x[i] = ri(); for (int i = 0; i < n; i++) { auto j = lower_bound(cur.begin(), cur.end(), x[i]) - cur.begin(); if (j == cur.size()) { s.push_back({}); cur.push_back({}); } else if (cur[j] == x[i]) continue; s[j].push_back(x[i]); cur[j] = x[i]; } cout << s.size() << "\n"; return 0; }
8
CPP
#include <bits/stdc++.h> int N, l, r, now; int a[100010]; int main() { scanf("%d", &N); a[0] = 10000000; now = 0; for (int i = 0, c; i < N; i++) { scanf("%d", &c); l = 0; r = now; while (l < r) { int mid = (l + r) >> 1; if (c >= a[mid]) l = mid + 1; else r = mid; } if (a[l] <= c) l++; a[l] = c; if (l > now) now = l; } printf("%d\n", now + 1); return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; int seq[100010]; int main() { int n; while (scanf("%d", &n) > 0) { int L = 0; for (int i = 1; i <= n; i++) { int a; scanf("%d", &a); if (L == 0 or seq[L - 1] < a) { seq[L++] = a; continue; } int lo = 0, up = L - 1, j; while (lo <= up) { int mid = (lo + up) >> 1; if (seq[mid] < a) { lo = mid + 1; } else { up = mid - 1; j = mid; } } seq[j] = a; } printf("%d\n", L); } }
8
CPP
#include <bits/stdc++.h> using namespace std; const int maxn = 100005; int a[maxn]; int g[maxn]; int d[maxn]; int main(int argc, char *argv[]) { int n; cin >> n; for (int i = 0; i < n; i++) cin >> a[i]; for (int i = 1; i <= n; ++i) g[i] = 1000000000; for (int i = 0; i < n; ++i) { int k = lower_bound(g + 1, g + n + 1, a[i]) - g; d[i] = k; g[k] = a[i]; } int ans = 1; for (int i = 0; i < n; i++) ans = max(ans, d[i]); cout << ans << endl; return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; int CeilIndex(std::vector<int> &v, int l, int r, int key) { while (r - l > 1) { int m = l + (r - l) / 2; if (v[m] >= key) r = m; else l = m; } return r; } int LongestIncreasingSubsequenceLength(std::vector<int> &v) { if (v.size() == 0) return 0; std::vector<int> tail(v.size(), 0); int length = 1; tail[0] = v[0]; for (size_t i = 1; i < v.size(); i++) { if (v[i] < tail[0]) tail[0] = v[i]; else if (v[i] > tail[length - 1]) tail[length++] = v[i]; else tail[CeilIndex(tail, -1, length - 1, v[i])] = v[i]; } return length; } int main() { std::vector<int> v; int n; cin >> n; for (int i = 0; i < n; ++i) { int x; cin >> x; v.push_back(x); } std::cout << LongestIncreasingSubsequenceLength(v) << '\n'; return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; const int mod = int(1e9 + 7); const double PI = acos(-1.0); int n, i, j, d[100010], a[100010]; int main() { cin >> n; for (i = 0; i < n; i++) cin >> a[i]; d[0] = -1000000000; for (i = 1; i <= n; i++) d[i] = 1000000000; for (i = 0; i < n; i++) { j = (int)(upper_bound(d, d + n, a[i]) - d); if (d[j - 1] < a[i] && d[j] > a[i]) d[j] = a[i]; } for (i = 1; i <= n; i++) if (d[i] == 1000000000) break; cout << i - 1; return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; const int inf = 1e9; int a[1000000]; int n; int dp[1000000]; int main() { scanf("%d", &n); for (int i = 0; i < n; i++) { scanf("%d", &a[i]); } for (int i = 0; i <= n; i++) { dp[i] = inf; } for (int i = 0; i < n; i++) { int k = upper_bound(dp, dp + n + 1, a[i]) - dp; dp[k] = a[i]; } int ans = 0; for (int i = 0; i <= n; i++) { if (dp[i] != inf) { ans = i + 1; } } cout << ans << endl; return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; const int max_n = 100 * 1000 + 10; int a[max_n]; vector<int> lis; int main() { int n; cin >> n; for (int i = 0; i < n; i++) cin >> a[i]; for (int i = 0; i < n; i++) { int pos = lower_bound(lis.begin(), lis.end(), a[i]) - lis.begin(); if (pos == lis.size()) lis.push_back(a[i]); else lis[pos] = a[i]; } cout << lis.size() << '\n'; }
8
CPP
#include <bits/stdc++.h> using namespace std; int main() { int n, ans = 1, now = 1, INF = (int)1e9; cin >> n; vector<int> A(n), D((int)1e7, INF); for (int i = 0; i < n; i++) cin >> A[i]; D[0] = -INF; for (int i = 0; i < n; i++) { int j = int(upper_bound(D.begin(), D.end(), A[i]) - D.begin()); if (D[j - 1] < A[i] && A[i] < D[j]) D[j] = A[i]; } for (int i = 1; i < (int)1e7; ans = (D[i] != INF ? i : ans), i++) ; cout << ans; return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; const int N = 1e5 + 9; int a[N], n, q[N], s, t; int main() { cin >> n; for (int i = 0; i < n; i++) { int v; cin >> v; int l = s, r = t; while (l <= r) { int mid = (l + r) >> 1; if (q[mid] < v) l = mid + 1; else r = mid - 1; } if (r == t) q[++t] = v; else q[r + 1] = min(q[r + 1], v); } cout << t << endl; return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; vector<int> s; vector<int>::iterator it; int v[100001]; int main() { int n; scanf("%d", &n); for (int i = 0; i < n; ++i) scanf("%d", v + i); s.reserve(100000); for (int i = 0; i < n; ++i) { it = lower_bound(s.begin(), s.end(), v[i]); if (it == s.end()) s.push_back(v[i]); else *it = v[i]; } if (s.size() == 1) s.clear(); printf("%d", s.size()); return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; const int N = 1e5; int n, ft[N + 5]; pair<int, int> arr[N + 5]; void update(int l, int k) { for (; l <= N; l += (l) & (-l)) ft[l] = max(ft[l], k); return; } int get(int l) { int ret = 0; for (; l >= 1; l -= (l) & (-l)) ret = max(ret, ft[l]); return ret; } 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; cin >> a; arr[i] = make_pair(a, i); } sort(arr + 1, arr + n + 1); int ans = 0; for (int i = 1; i <= n; i++) { int temp = get(arr[i].second - 1) + 1; update(arr[i].second, temp); ans = max(ans, get(arr[i].second - 1) + 1); } cout << ans << endl; return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; const double PI = 2.0 * acos(0.0); const double EPS = 1e-6; int dp[100005]; static int topp; void LIS(int x) { if (topp == 0) dp[topp++] = x; else if (x > dp[topp - 1]) dp[topp++] = x; else { int left = 0, right = topp; while (left < right) { int mid = (left + right) >> 1; if (dp[mid] > x) right = mid; else left = mid + 1; } while (left < topp - 1 && dp[left] == dp[left + 1]) left++; dp[left] = x; } } int main() { int n; scanf("%d", &n); ::topp = 0; for (int i = 0; i < n; i++) { int a; scanf("%d", &a); LIS(a); } printf("%d\n", topp); return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; const int maxN = 100005; int tree[maxN * 4]; int query(int t, int l, int r, int x, int y) { if (x > r || y < l) return -1; if (l >= x && r <= y) return tree[t]; int m = (l + r) / 2; return max(query(t * 2 + 1, l, m, x, y), query(t * 2 + 2, m + 1, r, x, y)); } void update(int t, int l, int r, int index, int value) { if (l == r) { tree[t] = value; return; } int m = (l + r) / 2; if (index <= m) update(t * 2 + 1, l, m, index, value); else update(t * 2 + 2, m + 1, r, index, value); tree[t] = max(tree[t * 2 + 1], tree[t * 2 + 2]); } int main() { int n; scanf("%d", &n); vector<int> a(n), d(n); for (int i = 0; i < n; i++) { scanf("%d", &a[i]); } int ans = 0; for (int i = 0; i < n; i++) { d[i] = query(0, 0, n - 1, 0, a[i] - 1) + 1; update(0, 0, n - 1, a[i] - 1, d[i]); if (d[i] > ans) ans = d[i]; } printf("%d\n", ans); return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; bool debug = false; int n, m, k; int dx[4] = {0, 1, 0, -1}, dy[4] = {1, 0, -1, 0}; long long ln, lk, lm; int a[100005], d[100005]; void cal() { d[1] = a[1]; int len = 1; for (int i = 2; i <= n; i++) { if (a[i] >= d[len]) d[++len] = a[i]; else { int j = upper_bound(d + 1, d + len + 1, a[i]) - d; d[j] = a[i]; } } cout << len << endl; } int main() { scanf("%d", &n); for (int(i) = 1; (i) <= (int)(n); (i)++) { scanf("%d", a + i); } cal(); return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; int a[100010], c[100010], len; int find(int L, int R, int x) { if (L == R) return L; int mid = (L + R) >> 1; if (c[mid] < x) return find(mid + 1, len, x); else return find(L, mid, x); } int main() { int i, n, t, m, T, b, k, ans, j, max; while (scanf("%d", &n) != EOF) { for (i = 0; i < n; i++) scanf("%d", &a[i]); len = 0; c[0] = -100000000; for (i = 0; i < n; i++) { if (a[i] > c[len]) j = ++len; else j = find(1, len, a[i]); c[j] = a[i]; } printf("%d\n", len); } return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; const int INF = 1000000000; int main() { int n, i, elem; cin >> n; vector<int> A(n); vector<int> B(n + 1, INF); for (i = 0; i < n; ++i) { cin >> elem; *upper_bound(B.begin(), B.end(), elem) = elem; } int ans = 0; for (i = 0; i < n; ++i) if (B[i] < INF) ans++; cout << ans << endl; return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; int a[333333]; int f[333333]; int main() { int n; scanf("%d", &n); long long sum = 0; for (int i = 1; i <= n; i++) scanf("%d", &a[i]); int t = 0; for (int i = 1; i <= n; i++) { if (a[i] >= f[t]) f[++t] = a[i]; else { int idx = lower_bound(f + 1, f + t + 1, a[i]) - f; f[idx] = a[i]; } } cout << t; return 0; }
8
CPP