#include <bits/stdc++.h>
#define ll long long
#define pb push_back
#define sz(x) (ll)(x.size())
#define all(v) v.begin(), v.end()
#define sz(x) (ll)(x.size())
#define se second
#define fi first
using namespace std;
const ll N = 1e5 + 9;
ll n, i, x[N], y[N], z[N], pre[N], bit[N][3], gold[N];
vector<pair<ll,ll>>vec;
void up(ll x, ll c, ll val)
{
    while(x <= n)
    {
        bit[x][c] = max(bit[x][c], val);
        x += (x & (-x));
    }
}
ll get( ll x, ll c )
{
    if(x == 0) return 0;
    ll sum = -1e18;
    while(x > 0)
    {
        sum = max(sum, bit[x][c]);
        x -= (x & (-x));
    }
    return sum;
}
int main()
{
#define TN "divide"
    if (fopen(TN ".in", "r"))
    {
        freopen(TN ".in", "r", stdin);
        freopen(TN ".out", "w", stdout);
    }
    cin.tie(0)->sync_with_stdio(0);
    cin >> n;
    ll sum = 0;
    ll kq = 0;
    for( i = 1; i <= n; i ++ )
    {
        cin >> x[i] >> y[i] >> z[i];
        gold[i] = gold[i - 1] + y[i];
        sum += z[i];
        vec.pb({sum - x[i], i});
        bit[i][0] = -1e18;
        bit[i][1] = -1e18;
        kq = max(kq, y[i]);
    }
    sort(all(vec));
    for(auto k : vec)
    {
        i = k.se;
        ll ans = get(i - 1, 0);
        ans += gold[i];
        ans = max(ans, get(i - 1, 1));
        ans = max(ans, 0LL);
        if(k.fi + x[i] >= (x[i] - x[1]))
            ans = max(ans, gold[i]);
        
        up(i, 1, ans);
        up(i, 0, max(0LL, get(i - 1, 1)) - gold[i - 1]);
        //cout << i << " " << ans << "\n";
    }
    cout << max(kq, get(n, 1));
    return 0;
}
/*
4
0 5 1
1 7 2
4 4 1
7 15 1
 */
Compilation message (stderr)
divide.cpp: In function 'int main()':
divide.cpp:49:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   49 |         freopen(TN ".in", "r", stdin);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
divide.cpp:50:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   50 |         freopen(TN ".out", "w", stdout);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~| # | Verdict | Execution time | Memory | Grader output | 
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