Submission #1230378

#	Time	Username	Problem	Language	Result	Execution time	Memory
1230378		free_de_la_zenith	Rabbit Carrot (LMIO19_triusis)	C++20	100 / 100	55 ms	9916 KiB

triusis

/**
 *    author:  MINHTPC
 *
**/
#include <bits/stdc++.h>

#define ll long long
#define fi first
#define se second
#define pb push_back
#define all(a) a.begin() , a.end()
#define FOR(i ,a , b) for(int i = a ; i <= b ; ++i)
#define bit(mask,i) ((mask>>i)&1)
#define name "task"
#define lo lower_bound
#define up upper_bound
#define count_bit1(x) __builtin_popcountll(x)
#define count_bit01(x) __builtin_clzll(x)
#define count_bit10(x) __builtin_ctzll(x)

using namespace std;
const int N=2e5+5;
long long a[N],n,k;
namespace sub1 {
    int ch[N];
    const int INF=1e9;
    void solve() {
        for(int i=0;i<n;i++) cin >> a[i];
        int ans=INF;
        for(int mask=0;mask<(1<<n);mask++) {
            int len=__builtin_popcount(mask);
            for(int i=0;i<n;i++) if(bit(mask,i)) ch[i]=1;
            int ok=0;
            for(int i=1;i<n;i++) {
                if(a[i]-a[i-1]>k) {
                    if(!ch[i]) {
                        ok=1;
                        break;
                    }
                }
            }
            if(!ok) {
                ans=min(ans,len);
            }
        }
        cout << ans;
    }
}
namespace sub23 {
    const long long INF=-1e18;
    long long dp[N];
    void solve() {
        for(int i=1;i<=n;i++) cin >> a[i];
        fill(dp,dp+N,INF);
        long long ans=0;
        for(int i=1;i<=n;i++) {
            if(a[i]<=k*i) dp[i]=1;
            for(int j=1;j<i;j++) {
                if(dp[j] && a[i]-a[j]<=k*(i-j)) dp[i]=max(dp[i],dp[j]+1);
            }
            ans=max(ans,dp[i]);
        }
        cout << n-ans;
    }
}
namespace sub_full {
    long long t[N],b[N],dp[N],g[N],m;
    void update(int x,ll v) {
        for(;x<=m;x+=x&-x) t[x]=max(t[x],v);
    }
    long long get(int x) {
        ll res=0;
        for(;x;x-=x&-x) res=max(res,t[x]);
        return res;
    }
    void solve() {
        vector<ll>v;
        for(int i=1;i<=n;i++) {
            cin >> a[i];
            b[i]=a[i]-1LL*k*i;
            g[i]=b[i];
            v.push_back(b[i]);
        }
        sort(v.begin(),v.end(),greater<ll>());
        v.erase(unique(all(v)),v.end());
        m=v.size();
        for(int i=1;i<=n;i++) g[i]=lower_bound(v.begin(),v.end(),b[i],greater<ll>())-v.begin()+1;
        ll ans=0;
        for(int i=1;i<=n;i++) {
            if(b[i]<=0) dp[i]=1;
            ll cur=get(g[i]);
            if(cur) dp[i]=max(dp[i],cur+1);
            ans=max(ans,dp[i]);
            update(g[i],dp[i]);
        }
        cout << n-ans;
    }
}
int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(0);cout.tie(0);
    cin >> n >> k;
//    if(n<=20) sub1::solve();
//    else if(n<=5000) sub23::solve();
    sub_full::solve();
}

• Subtask 1: 14 / 14
• Subtask 2: 21 / 21
• Subtask 3: 28 / 28
• Subtask 4: 37 / 37