This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
// supports: point modify, range apply, range query, walk to find first/last with some precedent
// you are to implement the 2 structs Tag and Info
// for the walks, pass a lambda that takes in Info and return true iff the node with that Info will contain the desired element
template<class Info, class Tag>
struct LazySegmentTree {
int n;
vector<Info> info;
vector<Tag> tag;
LazySegmentTree() : n(0) {}
LazySegmentTree(int n_, Info v_ = Info()) {
init(n_, v_);
}
template<class T>
LazySegmentTree(vector<T> init_) {
init(init_);
}
void init(int n_, Info v_ = Info()) {
init(vector<Info>(n_, v_));
}
template<class T>
void init(vector<T> init_) {
n = init_.size();
info.assign(4 << __lg(n), Info());
tag.assign(4 << __lg(n), Tag());
function<void(int, int, int)> build = [&](int p, int l, int r) {
if (r - l == 1) {
info[p] = init_[l];
return;
}
int m = (l + r) / 2;
build(2 * p, l, m);
build(2 * p + 1, m, r);
pull(p);
};
build(1, 0, n);
}
void pull(int p) {
info[p] = info[2 * p] + info[2 * p + 1];
}
void apply(int p, const Tag &v) {
info[p].apply(v);
tag[p].apply(v);
}
void push(int p) {
apply(2 * p, tag[p]);
apply(2 * p + 1, tag[p]);
tag[p] = Tag();
}
void modify(int p, int l, int r, int x, const Info &v) {
if (r - l == 1) {
info[p] = v;
return;
}
int m = (l + r) / 2;
push(p);
if (x < m) {
modify(2 * p, l, m, x, v);
} else {
modify(2 * p + 1, m, r, x, v);
}
pull(p);
}
void modify(int p, const Info &v) {
modify(1, 0, n, p, v);
}
Info rangeQuery(int p, int l, int r, int x, int y) {
if (l >= y || r <= x) {
return Info();
}
if (l >= x && r <= y) {
return info[p];
}
int m = (l + r) / 2;
push(p);
return rangeQuery(2 * p, l, m, x, y) + rangeQuery(2 * p + 1, m, r, x, y);
}
Info rangeQuery(int l, int r) {
return rangeQuery(1, 0, n, l, r);
}
void rangeApply(int p, int l, int r, int x, int y, const Tag &v) {
if (l >= y || r <= x) {
return;
}
if (l >= x && r <= y) {
apply(p, v);
return;
}
int m = (l + r) / 2;
push(p);
rangeApply(2 * p, l, m, x, y, v);
rangeApply(2 * p + 1, m, r, x, y, v);
pull(p);
}
void rangeApply(int l, int r, const Tag &v) {
return rangeApply(1, 0, n, l, r, v);
}
template<class F>
int findFirst(int p, int l, int r, int x, int y, F &&pred) {
if (l >= y || r <= x) {
return -1;
}
if (l >= x && r <= y && !pred(info[p])) {
return -1;
}
if (r - l == 1) {
return l;
}
int m = (l + r) / 2;
push(p);
int res = findFirst(2 * p, l, m, x, y, pred);
if (res == -1) {
res = findFirst(2 * p + 1, m, r, x, y, pred);
}
return res;
}
template<class F>
int findFirst(int l, int r, F &&pred) {
return findFirst(1, 0, n, l, r, pred);
}
template<class F>
int findLast(int p, int l, int r, int x, int y, F &&pred) {
if (l >= y || r <= x) {
return -1;
}
if (l >= x && r <= y && !pred(info[p])) {
return -1;
}
if (r - l == 1) {
return l;
}
int m = (l + r) / 2;
push(p);
int res = findLast(2 * p + 1, m, r, x, y, pred);
if (res == -1) {
res = findLast(2 * p, l, m, x, y, pred);
}
return res;
}
template<class F>
int findLast(int l, int r, F &&pred) {
return findLast(1, 0, n, l, r, pred);
}
};
const long long INF = 1e18;
struct Tag {
long long mn = INF;
void apply(const Tag &t) & {
mn = min(mn, t.mn);
}
};
struct Info {
long long mn = INF;
void apply(const Tag &t) & {
mn = min(mn, t.mn);
}
Info operator+(const Info &b) {
return {min(mn, b.mn)};
}
};
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n, m;
cin >> n >> m;
vector<int> l(n), r(n), drop(n), cost(n);
for (int i = 0; i < n; i++) {
cin >> l[i] >> r[i] >> drop[i] >> cost[i];
}
vector<int> points = {1, m};
points.insert(points.end(), drop.begin(), drop.end());
sort(points.begin(), points.end());
points.resize(unique(points.begin(), points.end()) - points.begin());
const int C = points.size();
for (int i = 0; i < n; i++) {
l[i] = lower_bound(points.begin(), points.end(), l[i]) - points.begin();
r[i] = lower_bound(points.begin(), points.end(), r[i] + 1) - points.begin();
drop[i] = lower_bound(points.begin(), points.end(), drop[i]) - points.begin();
}
LazySegmentTree<Info, Tag> seg_l(C);
seg_l.modify(0, {0});
LazySegmentTree<Info, Tag> seg_r(C);
seg_r.modify(C - 1, {0});
long long ans = INF;
for (int i = 0; i < n; i++) {
long long get_l = seg_l.rangeQuery(l[i], r[i]).mn;
long long get_r = seg_r.rangeQuery(l[i], r[i]).mn;
ans = min(ans, get_l + get_r + cost[i]);
seg_l.rangeApply(drop[i], drop[i] + 1, {cost[i] + get_l});
seg_r.rangeApply(drop[i], drop[i] + 1, {cost[i] + get_r});
}
if (ans == INF) ans = -1;
cout << ans << '\n';
}
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