This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <algorithm>
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define vt vector
#define pb push_back
#define all(x) (x).begin(), (x).end()
#define sz(x) (int)(x).size()
#define R_EP(i, a, b, s) for (int i = (a); (s) > 0 ? i < (b) : i > (b); i += (s))
#define R_EP1(e) R_EP(i, 0, e, 1)
#define R_EP2(i, e) R_EP(i, 0, e, 1)
#define R_EP3(i, b, e) R_EP(i, b, e, 1)
#define R_EP4(i, b, e, s) R_EP(i, b, e, s)
#define GET5(a, b, c, d, e, ...) e
#define R_EPC(...) GET5(__VA_ARGS__, R_EP4, R_EP3, R_EP2, R_EP1)
#define rep(...) R_EPC(__VA_ARGS__)(__VA_ARGS__)
#define trav(x, a) for (auto x : a)
template<typename T> inline bool umax(T&x, const T& y) { if (x >= y) return false; x = y; return true; }
template<typename T> inline bool umin(T&x, const T& y) { if (x <= y) return false; x = y; return true; }
const int MOD = int(1e9) + 7, naxm = 200000;
int n, x, a[naxm + 5];
namespace Sub2 {
void tst() {
int ans = 0;
rep(i, 1, n + 1) {
rep(j, i, n + 1) {
rep(t, -x, x + 1) {
vt<int> dp;
rep(k, 1, n + 1) {
int v = a[k] + (k >= i && k <= j ? t : 0);
int l = lower_bound(all(dp), v) - dp.begin();
if (l < sz(dp)) dp[l] = v;
else dp.pb(v);
}
umax(ans, sz(dp));
}
}
}
cout << ans << "\n";
}
};
namespace Sub3 {
void tst() {
int ans = 0;
rep(i, 1, n + 1) {
vt<int> dp;
rep(j, 1, n + 1) {
int v = a[j] + (j <= i ? -x : 0);
int l = lower_bound(all(dp), v) - dp.begin();
if (l < sz(dp)) dp[l] = v;
else dp.pb(v);
}
umax(ans, sz(dp));
}
cout << ans << "\n";
}
};
namespace Sub4 {
void tst() {
vt<int> dp;
rep(i, 1, n + 1) {
int l = lower_bound(all(dp), a[i]) - dp.begin();
if (l < sz(dp)) dp[l] = a[i];
else dp.pb(a[i]);
}
cout << sz(dp) << "\n";
}
};
namespace Sub7 {
const int naxm = 200000;
int LIS_prefix[naxm + 5];
void tst() {
int ans = 0;
vt<int> dp;
rep(i, 1, n + 1) {
int l = lower_bound(all(dp), a[i]) - dp.begin();
LIS_prefix[i] = l + 1;
if (l < sz(dp)) dp[l] = a[i];
else dp.pb(a[i]);
}
ans = sz(dp);
dp.clear();
rep(i, n, 0, -1) {
int l = lower_bound(all(dp), -a[i] + x) - dp.begin();
umax(ans, LIS_prefix[i] + l);
l = lower_bound(all(dp), -a[i]) - dp.begin();
if (l < sz(dp)) dp[l] = -a[i];
else dp.pb(-a[i]);
}
cout << ans << "\n";
}
};
int main() {
ios_base::sync_with_stdio(false), cin.tie(nullptr);
cin >> n >> x;
rep(i, 1, n + 1) cin >> a[i];
if (max(n, x) <= 50) Sub2::tst();
else if (n <= 1000) Sub3::tst();
else if (!x) Sub4::tst();
else Sub7::tst();
return 0;
}
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