This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// Om Namah Shivaya
// GM in 125 days
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define endl '\n'
#define pb push_back
#define conts continue
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "YES" << endl
#define no cout << "NO" << endl
#define ff first
#define ss second
#define ceil2(x,y) ((x+y-1) / (y))
#define sz(a) a.size()
#define setbits(x) __builtin_popcountll(x)
#ifndef ONLINE_JUDGE
#define debug(x) cout << #x <<" = "; print(x); cout << endl
#else
#define debug(x)
#endif
#define rep(i,n) for(int i = 0; i < n; ++i)
#define rep1(i,n) for(int i = 1; i <= n; ++i)
#define rev(i,s,e) for(int i = s; i >= e; --i)
#define trav(i,a) for(auto &i : a)
bool iseven(ll n) {if ((n & 1) == 0) return true; return false;}
void print(ll t) {cout << t;}
void print(int t) {cout << t;}
void print(string t) {cout << t;}
void print(char t) {cout << t;}
void print(double t) {cout << t;}
void print(ld t) {cout << t;}
template <class T, class V> void print(pair <T, V> p);
template <class T> void print(vector <T> v);
template <class T> void print(set <T> v);
template <class T, class V> void print(map <T, V> v);
template <class T> void print(multiset <T> v);
template <class T, class V> void print(pair <T, V> p) {cout << "{"; print(p.ff); cout << ","; print(p.ss); cout << "}";}
template <class T> void print(vector <T> v) {cout << "[ "; for (T i : v) {print(i); cout << " ";} cout << "]";}
template <class T> void print(set <T> v) {cout << "[ "; for (T i : v) {print(i); cout << " ";} cout << "]";}
template <class T> void print(multiset <T> v) {cout << "[ "; for (T i : v) {print(i); cout << " ";} cout << "]";}
template <class T, class V> void print(map <T, V> v) {cout << "[ "; for (auto i : v) {print(i); cout << " ";} cout << "]";}
template<typename T> void amin(T &a, T b) { a = min(a, b); }
template<typename T> void amax(T &a, T b) { a = max(a, b); }
void usaco(string filename) {
freopen((filename + ".in").c_str(), "r", stdin);
freopen((filename + ".out").c_str(), "w", stdout);
}
const int MOD = 1e9 + 7;
const int maxn = 1e5 + 5;
const int inf1 = 1e9 + 5;
const ll inf2 = ll(1e18) + 5;
template<typename T>
struct segtree {
/*=======================================================*/
struct data {
ll sum, mnpref;
};
data neutral = {0, inf2};
void merge(data &curr, data &left, data &right) {
curr.sum = left.sum + right.sum;
curr.mnpref = min(left.mnpref, left.sum + right.mnpref);
}
void create(int x, int lx, int rx, T v) {
tr[x] = {v, v};
}
void modify(int x, int lx, int rx, T v) {
tr[x].sum += v;
tr[x].mnpref = tr[x].sum;
}
/*=======================================================*/
int siz = 1;
vector<data> tr;
segtree(int n) {
init(n);
}
segtree() {
};
void init(int n) {
while (siz < n) siz *= 2;
tr.assign(2 * siz, neutral);
}
void build(vector<T> &a, int n, int x, int lx, int rx) {
if (rx - lx == 1) {
if (lx < n) {
create(x, lx, rx, a[lx]);
}
return;
}
int mid = (lx + rx) / 2;
build(a, n, 2 * x + 1, lx, mid);
build(a, n, 2 * x + 2, mid, rx);
merge(tr[x], tr[2 * x + 1], tr[2 * x + 2]);
}
void build(vector<T> &a, int n) {
build(a, n, 0, 0, siz);
}
void pupd(int i, T v, int x, int lx, int rx) {
if (rx - lx == 1) {
modify(x, lx, rx, v);
return;
}
int mid = (lx + rx) / 2;
if (i < mid) {
pupd(i, v, 2 * x + 1, lx, mid);
}
else {
pupd(i, v, 2 * x + 2, mid, rx);
}
merge(tr[x], tr[2 * x + 1], tr[2 * x + 2]);
}
void pupd(int i, T v) {
pupd(i, v, 0, 0, siz);
}
data query(int l, int r, int x, int lx, int rx) {
if (lx >= r or rx <= l) return neutral;
if (lx >= l and rx <= r) return tr[x];
int mid = (lx + rx) / 2;
data curr;
data left = query(l, r, 2 * x + 1, lx, mid);
data right = query(l, r, 2 * x + 2, mid, rx);
merge(curr, left, right);
return curr;
}
data query(int l, int r) {
return query(l, r + 1, 0, 0, siz);
}
};
void solve(int test_case)
{
ll n, d; cin >> n >> d;
vector<array<ll, 3>> a(n);
rep(i, n) rep(j, 3) cin >> a[i][j];
sort(all(a));
vector<ll> diff(n + 5);
diff[0] = a[0][0];
rep1(i, n - 1) diff[i] = a[i][0] - a[i - 1][0];
diff[n] = d - a[n - 1][0];
auto check = [&](ll f) {
ll prev = 0, fuel = f;
rep(i, n) {
auto [x, add, mx] = a[i];
ll dis = x - prev;
fuel -= dis;
if (fuel < 0) {
return false;
}
if (f <= mx) {
fuel += add;
}
prev = x;
}
ll dis = d - prev;
fuel -= dis;
if (fuel < 0) return false;
return true;
};
vector<ll> b(n);
rep(i, n) b[i] = a[i][0];
sort(all(b));
auto it = unique(all(b));
b.resize(it - b.begin());
segtree<ll> st(2 * n + 5);
rep(i, n + 1) {
ll x = a[i][0];
x = lower_bound(all(b), x) - b.begin() + 1;
st.pupd(2 * x, -diff[i]);
}
ll ans = d;
vector<array<ll, 3>> c(n);
rep(i, n) {
auto [x, toadd, mx] = a[i];
x = lower_bound(all(b), x) - b.begin() + 1;
c[i] = {mx, x, toadd};
}
sort(rall(c));
ll l = -1, r = -2;
rep(i, n) {
auto [mx, x, toadd] = c[i];
st.pupd(2 * x + 1, toadd);
ll f = mx;
st.pupd(0, f);
ll mnpref = st.query(0, 2 * n + 2).mnpref;
if (mnpref >= 0) {
if (i + 1 < n) {
l = c[i + 1][0] + 1;
}
else {
l = 1;
}
r = f;
amin(ans, f);
}
st.pupd(0, -f);
}
while (l <= r) {
ll mid = (l + r) / 2;
if (check(mid)) {
amin(ans, mid);
r = mid - 1;
}
else {
l = mid + 1;
}
}
l = c[0][0] + 1, r = d;
while (l <= r) {
ll mid = (l + r) / 2;
if (check(mid)) {
amin(ans, mid);
r = mid - 1;
}
else {
l = mid + 1;
}
}
l = 1, r = c.back()[0];
while (l <= r) {
ll mid = (l + r) / 2;
if (check(mid)) {
amin(ans, mid);
r = mid - 1;
}
else {
l = mid + 1;
}
}
cout << ans << endl;
}
int main()
{
fastio;
int t = 1;
// cin >> t;
rep1(i, t) {
solve(i);
}
return 0;
}
Compilation message (stderr)
FuelStation.cpp: In function 'void usaco(std::string)':
FuelStation.cpp:64:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
64 | freopen((filename + ".in").c_str(), "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
FuelStation.cpp:65:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
65 | freopen((filename + ".out").c_str(), "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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