This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#ifndef LOCAL
#define FAST_IO
#endif
// ===== template.hpp =====
#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <cmath>
#include <iomanip>
#include <iostream>
#include <list>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <string>
#include <tuple>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
#define OVERRIDE(a, b, c, d, ...) d
#define REP2(i, n) for (i32 i = 0; i < (i32) (n); ++i)
#define REP3(i, m, n) for (i32 i = (i32) (m); i < (i32) (n); ++i)
#define REP(...) OVERRIDE(__VA_ARGS__, REP3, REP2)(__VA_ARGS__)
#define PER(i, n) for (i32 i = (i32) (n) - 1; i >= 0; --i)
#define ALL(x) begin(x), end(x)
using namespace std;
using u32 = unsigned int;
using u64 = unsigned long long;
using u128 = __uint128_t;
using i32 = signed int;
using i64 = signed long long;
using i128 = __int128_t;
using f64 = double;
using f80 = long double;
template <typename T>
using Vec = vector<T>;
template <typename T>
bool chmin(T &x, const T &y) {
if (x > y) {
x = y;
return true;
}
return false;
}
template <typename T>
bool chmax(T &x, const T &y) {
if (x < y) {
x = y;
return true;
}
return false;
}
istream &operator>>(istream &is, i128 &x) {
i64 v;
is >> v;
x = v;
return is;
}
ostream &operator<<(ostream &os, i128 x) {
os << (i64) x;
return os;
}
istream &operator>>(istream &is, u128 &x) {
u64 v;
is >> v;
x = v;
return is;
}
ostream &operator<<(ostream &os, u128 x) {
os << (u64) x;
return os;
}
[[maybe_unused]] constexpr i32 INF = 1000000100;
[[maybe_unused]] constexpr i64 INF64 = 3000000000000000100;
struct SetUpIO {
SetUpIO() {
#ifdef FAST_IO
ios::sync_with_stdio(false);
cin.tie(nullptr);
#endif
cout << fixed << setprecision(15);
}
} set_up_io;
// ===== template.hpp =====
#ifdef DEBUGF
#include "cpl/template/debug.hpp"
#else
#define DBG(x) (void) 0
#endif
i32 lis(i32 n, const Vec<i32> &a) {
Vec<i32> dp(n + 1, 2 * INF);
dp[0] = -2 * INF;
REP(i, n) {
*lower_bound(ALL(dp), a[i]) = a[i];
}
PER(i, n + 1) {
if (dp[i] != 2 * INF) {
return i;
}
}
return 0;
}
int main() {
i32 n, m;
cin >> n >> m;
Vec<i32> t(m), a(m);
REP(i, m) {
cin >> t[i];
}
REP(i, m) {
cin >> a[i];
}
Vec<pair<i32, i32>> evs(m);
REP(i, m) {
evs[i].first = a[i] - t[i];
evs[i].second = a[i] + t[i];
}
sort(ALL(evs), [](const pair<i32, i32> &p, const pair<i32, i32> &q) -> bool {
if (p.first != q.first) {
return p.first < q.first;
} else {
return p.second > q.second;
}
});
Vec<i32> ys(m);
REP(i, m) {
ys[i] = evs[i].second;
}
cout << lis(m, ys) << '\n';
}
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