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 <bits/stdc++.h>
//#pragma GCC optimize("Ofast")
#define ll long long
#define ff first
#define ss second
#define int ll
#define all(v) v.begin(), v.end()
#define rall(v) v.rbegin(), v.rend()
#define pb push_back
#define pii pair <int, int>
using namespace std;
const int inf = 1e15;
const int mod = 1e9+7;
const int N = 3e5+100;
struct segtree{
int size;
vector <int> t;
segtree(int n){
size = 1;
while (size < n) size <<= 1;
t.resize(2*size - 1);
}
void set(int i, int v, int x, int lx, int rx){
if (rx - lx == 1){
t[x] = v;
return;
}
int m = (lx + rx) / 2;
if (i < m) set(i, v, 2*x + 1, lx, m);
else set(i, v, 2*x + 2, m, rx);
t[x] = max(t[2*x + 1], t[2*x + 2]);
}
void set(int i, int v){
set(i, v, 0, 0, size);
}
int get(int l, int r, int x, int lx, int rx){
if (l >= rx || lx >= r) return 0;
if (l <= lx && r >= rx) return t[x];
int m = (lx + rx) / 2;
return max(get(l, r, 2*x + 1, lx, m), get(l, r, 2*x + 2, m, rx));
}
int get(int l, int r){
return get(l, r + 1, 0, 0, size);
}
};
int longest_nondec_subseq(const vector<int>& seq) {
vector<int> min_endings;
for (int i : seq) {
// note that we use upper_bound instead of lower_bound bc it just has to be nondecreasing
int pos = std::upper_bound(min_endings.begin(), min_endings.end(), i) - min_endings.begin();
// standard LIS protocol
if (pos == min_endings.size()) {
min_endings.push_back(i);
} else {
min_endings[pos] = i;
}
}
return min_endings.size();
}
void solve(){
int n, m;
cin >> n >> m;
vector <int> a(n+1);
for (int i = 1; i <= n; ++i) cin >> a[i];
vector <int> b(n+1);
for (int i = 1; i <= n; ++i){
b[i] = m * i - a[i];
}
vector <int> c = b; sort(all(c));
map <int, int> mp;
for (int i = 1; i <= n; ++i)
if (mp[c[i]] == 0) mp[c[i]] = i;
vector <int> dp(n+100);
segtree st(n+100);
for (int i = 1; i <= n; ++i){
dp[i] = st.get(0, mp[b[i]]) + 1;
st.set(mp[b[i]], dp[i]);
}
cout << n - longest_nondec_subseq(b) + 1;
}
signed main(){
ios::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);
int tt = 1;
//cin >> tt;
while (tt--){
solve();
cout << '\n';
}
}
Compilation message (stderr)
triusis.cpp: In function 'long long int longest_nondec_subseq(const std::vector<long long int>&)':
triusis.cpp:60:11: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
60 | if (pos == min_endings.size()) {
| ~~~~^~~~~~~~~~~~~~~~~~~~~
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