Submission #528815

#	Time	Username	Problem	Language	Result	Execution time	Memory
528815		perchuts	Divide and conquer (IZhO14_divide)	C++17	100 / 100	62 ms	7072 KiB

divide

#include <bits/stdc++.h>
#define maxn (int)(1e5+1001)
#define all(x) x.begin(), x.end()
#define sz(x) (int) x.size()
#define endl '\n'
#define ll long long
#define pb push_back
#define ull unsigned long long
#define ii pair<int,int>
#define iii tuple<int,int,int>
#define inf 2000000001
#define mod 1000000007 //998244353
#define _ ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL);

using namespace std;

template<typename X, typename Y> bool ckmin(X& x, const Y& y) { return (y < x) ? (x=y,1):0; }
template<typename X, typename Y> bool ckmax(X& x, const Y& y) { return (x < y) ? (x=y,1):0; }
struct mine{
    ll x,g,e;
};

mine v[maxn];
ll pref[maxn];
int bit[maxn],n;

void insert(int x,int d){
    for(;x<=n+100;x+=x&(-x))ckmin(bit[x],d);
}

int query(int x){
    int ans = inf;
    while(x){
        ckmin(ans,bit[x]);
        x -= x&(-x);
    }
    return ans;
}

int main(){_
    cin>>n;
    for(int i=1;i<=n;++i){
        cin>>v[i].x>>v[i].g>>v[i].e;
    }
    for(int i=0;i<=n+100;++i)bit[i] = inf;
    vector<ll>cmp;
    ll sum = v[1].e;
    pref[1] = v[1].g;
    for(int i=2;i<=n;++i){
        sum -= abs(v[i-1].x - v[i].x);
        cmp.pb(sum);
        sum += v[i].e;
        pref[i] = pref[i-1] + v[i].g;
    }
    cmp.pb(0);
    sort(all(cmp));
    cmp.erase(unique(all(cmp)),cmp.end());
    // for(auto x:cmp)cout<<x<<" ";
    // cout<<endl;
    // for(int i=1;i<=n;++i)cout<<pref[i]<<" ";
    // cout<<endl;
    sum = v[1].e;
    ll ans = 0;
    for(int i=1;i<=n;++i){
        if(i!=1)sum += v[i].e - abs(v[i].x - v[i-1].x);
        int ind = lower_bound(all(cmp),sum) - begin(cmp) + 1;
        if(ind!=sz(cmp)+1&&cmp[ind-1]>sum)ind--;
        // cout<<ind<<" "<<sum<<endl;
        int q = min(i,query(ind));
        ckmax(ans,pref[i]-pref[q-1]);
        int ind2 = lower_bound(all(cmp),sum-v[i].e) - begin(cmp) + 1;
        insert(ind2,i);
    }
    // cout<<endl;
    cout<<ans<<endl;
}

• Subtask 1: 17 / 17
• Subtask 2: 31 / 31
• Subtask 3: 52 / 52