Submission #88318

#	Time	Username	Problem	Language	Result	Execution time	Memory
88318		dimash241	Divide and conquer (IZhO14_divide)	C++17	100 / 100	183 ms	14456 KiB

divide

# include <stdio.h>
# include <bits/stdc++.h>


#define _USE_MATH_DEFINES_
#define ll long long
#define ld long double
#define Accepted 0
#define pb push_back
#define mp make_pair
#define sz(x) (int)(x.size())
#define every(x) x.begin(),x.end()
#define F first
#define S second
#define For(i,x,y)  for (int i = x; i <= y; i ++) 
#define FOr(i,x,y)  for (int i = x; i >= y; i --)
#define SpeedForce ios_base::sync_with_stdio(0), cin.tie(0)
// ROAD to...                                                                                                                                                                                                                Red

using namespace std;

inline bool isvowel (char c) {
	c = tolower(c);
    if (c == 'a' || c == 'e' || c == 'i' || c == 'y' || c == 'o' || c == 'u') return 1;
    return 0;
}

const double eps = 0.000001;
const ld pi = acos(-1);
const int maxn = 1e7 + 9;
const int mod = 1e9 + 7;
const ll MOD = 1e18 + 9;
const ll INF = 1e18 + 123;
const int inf = 2e9 + 11;
const int mxn = 1e6 + 9;
const int N = 6e5 + 123;                                          
const int M = 22;
const int pri = 997;
const int Magic = 2101;

const int dx[] = {-1, 0, 1, 0};
const int dy[] = {0, -1, 0, 1};
 
int n, m, k;
ll x[N], g[N], d[N];
vector < ll > v;

int get_id (ll that) {
	int id = lower_bound(every(v), that) - v.begin();

	return id;
}

ll f[N], ans;

void upd (int pos, ll x) {
	for (int i = pos; i <= sz(v); i = (i | (i + 1)))
		f[i] = min(f[i], x);
}

ll get (ll r) {
	ll res = INF;
	while (r >= 0) {
		res = min(res, f[r]);
		r = (r & (r + 1)) - 1;
	}

	return res;
}


int main () {
	cin >> n;
	ll sd = 0, sg = 0;        	
    
	For (i, 1, n) {
		cin >> x[i] >> g[i] >> d[i];
		v.pb(sd - x[i]);
		
		sd += d[i];
		v.pb(sd - x[i]);
		
	}
	fill(f, f + N, INF);
	
	sort(every(v));
	v.resize(unique(every(v)) - v.begin());
	
    sd = sg = 0;
    For (i, 1, n) {

        upd(get_id(sd - x[i]), sg);
        sg += g[i];
        sd += d[i];
        ans = max(ans, sg - get(get_id(sd - x[i])));
        
    }           

    cout << ans;

    return Accepted;
}

// Coded By OB

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