Submission #381315

#TimeUsernameProblemLanguageResultExecution timeMemory
381315knightron0Divide and conquer (IZhO14_divide)C++14
100 / 100
86 ms9996 KiB
#include <bits/stdc++.h>
using namespace std;

#define pb push_back
#define fr first
#define sc second
#define clr(a, x) memset(a, x, sizeof(a))
#define dbg(x) cout<<"("<<#x<<"): "<<x<<endl;
#define printvector(arr) for (auto it = arr.begin(); it != arr.end(); ++it) cout<<*it<<" "; cout<<endl;
#define all(v) v.begin(), v.end()
#define lcm(a, b) (a * b)/__gcd(a, b)
#define int long long int
#define printvecpairs(vec) for(auto it: vec) cout<<it.fr<<' '<<it.sc<<endl;
#define endl '\n'
#define float long double

const int MOD = 1e9 + 7;
const int INF = 2e15;
const int MAXN = 1e6 + 5;

int a[MAXN], b[MAXN];
vector<int> conv;
int tree[2*MAXN];

int query(int node, int start, int end, int l, int r){
    if(r < start or end < l){
        return 0;
    }
    if(l <= start and end <= r){
        return tree[node];
    }
    int mid = (start+end)/2;
    int p1 = query(2*node, start, mid, l, r);
    int p2 = query(2*node +1, mid+1, end, l, r);
    return max(p1,p2);
}

void build(int curr, int start, int end){
    if(start == end) {
        tree[curr] = b[start];
    } else {
        int mid = (start+end)/2;
        build(2*curr, start, mid);
        build(2*curr+1, mid+1, end);
        tree[curr] = max(tree[2*curr],tree[2*curr+1]);
    }
}


void update(int node, int start, int end, int idx, int val){
    if(start == end){
        b[idx] += val;
        tree[node] += val;
    } else {
        int mid = (start + end)/2;
        if(start <= idx and idx <= mid){
            update(2*node, start, mid, idx, val);
        } else {
            update(2*node+1, mid+1, end, idx, val);
        }
        tree[node] = max(tree[2*node],tree[2*node+1]);
    }
}

signed main() {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    #ifdef LOCAL
    freopen("input.txt", "r", stdin);
    #endif
    int n; cin>>n;
    for(int i= 0;i<=n+3;i++){
        b[i] = 0;
    }
    vector<pair<int, pair<int, int>>> vec;
    for(int i= 0;i<n;i++){
    	int t1, t2, t3;
    	cin>>t1>>t2>>t3;
    	vec.pb({t1, {t2, t3}});
    }
    int prefsm[n+2], pref[n+2];
    pref[0] = prefsm[0] = 0;
    for(int i = 1;i<=n;i++){
    	pref[i] = pref[i-1] + vec[i-1].sc.sc;
        prefsm[i] = prefsm[i-1] + vec[i-1].sc.fr;
    }
    for(int i= 1;i<=n;i++){
    	a[i] = vec[i-1].fr-pref[i];
    	conv.pb(a[i]);
    }
    sort(all(conv));
    conv.resize(unique(all(conv)) - conv.begin());
    for(int i=1;i<=n;i++){
        a[i] = lower_bound(all(conv), a[i]) - conv.begin();   
        a[i]++; 
    }
    build(1, 1, n);
    int ans = 0;
    for(int i = n;i>=1;i--){
        if(b[a[i]] == 0){
            update(1, 1, n, a[i], i);
        }
        int vl = vec[i-1].fr-pref[i-1];
        int x= upper_bound(all(conv), vl) - conv.begin();
        int mx = query(1, 1, n, 1, x);
        ans = max(prefsm[mx]-prefsm[i-1], ans);
    }
    cout<<ans<<endl;
    return 0;
}



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