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 "train.h"
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int N = 1e5 + 12;
struct bit{
vector<ll> t;
int n;
void init(int s) {
n = s;
t.assign(n + 1, 0);
}
void upd(int pos, ll val) {
while(pos <= n) {
t[pos] += val;
pos += pos & -pos;
}
}
ll get(int i) {
ll res = 0;
while(i) {
res += t[i];
i -= i & -i;
}
return res;
}
ll get(int l, int r) {
return get(r) - get(l - 1);
}
}T;
int n, m, w, it = 0, ti = 0;
vector<int> t, x, y, a, b, c, vt;
vector<pair<int, int>> f;
struct qwq{
int pos;
ll d;
int l, r, v;
};
deque<qwq> d[N];
ll dp[N];
int col = 0;
const ll inf = 1e18, mx = (int)1e9 + 1;
int find(int pos) {
int it = lower_bound(vt.begin(), vt.end(), pos) - vt.begin() + 1;
return it;
}
ll cost(int L, int R) {
assert(L <= R);
return ti - T.get(find(L));
}
ll get_val(qwq q, int x) {
if(x < q.pos) return inf;
return q.d + cost(q.pos, x) * 1ll * t[q.v];
}
ll gdp(int v, int pos) {
while(!d[v].empty() && d[v][0].r < pos) {
d[v].pop_front();
}
if(d[v].empty()) return inf;
ll ret = get_val(d[v][0], pos);
// for(int i = 0; i < (int)d[v].size(); i++) {
// ret = min(ret, get_val(d[v][i], pos));
// }
return ret;
}
void add(int v, ll dd, int pos) {
qwq nv;
nv.pos = pos;nv.d = dd;nv.v = v;
while(!d[v].empty() && get_val(d[v].back(), d[v].back().l) > get_val(nv, d[v].back().l)) {
d[v].pop_back();
}
if(d[v].empty()) {
d[v].push_back({pos, dd, pos, mx, v});
return;
}
int l = d[v].back().l, r = mx + 1;
while(r - l > 1) {
int mid = (l + r) >> 1;
if(get_val(d[v].back(), mid) <= get_val(nv, mid)) {
l = mid;
} else {
r = mid;
}
}
d[v].back().r = r - 1;
if(r <= mx) {
nv.l = r;
nv.r = r;
d[v].push_back(nv);
}
}
ll get() {
vector<int> e, ej;
for(int i = 0; i < m; i++) {
e.push_back(i);
ej.push_back(i);
}
sort(e.begin(), e.end(), [&](int x, int y){
return a[x] < a[y];
});
sort(ej.begin(), ej.end(), [&](int x, int y){
return b[x] < b[y];
});
add(0, 0, 0);
for(int i:e) {
while(it < m && b[ej[it]] <= a[i]) {
int j = ej[it];
add(y[j], dp[j], b[j]);
it++;
}
while(ti < w && f[ti].second < a[i]) {
col++;
T.upd(find(f[ti].first), 1);
ti++;
}
dp[i] = gdp(x[i], a[i]) + c[i];
}
if(dp[m - 1] == inf) dp[m - 1] = -1;
return dp[m - 1];
}
ll solve(int N, int M, int W, vector<int> _T, vector<int> X, vector<int> Y, vector<int> A, vector<int> B, vector<int> C, vector<int> L,vector<int> R) {
n = N;m = M;w = W;
t = _T;x = X;y = Y; a = A; b = B; c = C;
m++;
x.push_back(n - 1);
y.push_back(n - 1);
a.push_back(mx);
b.push_back(mx + 1);
c.push_back(0);
for(int i = 0; i < w; i++) {
vt.push_back(L[i]);
vt.push_back(R[i]);
f.emplace_back(L[i], R[i]);
}
for(int i = 0; i < m; i++) {
vt.push_back(a[i]);
vt.push_back(b[i]);
}
vt.push_back(0);
sort(vt.begin(), vt.end());
vt.resize(unique(vt.begin(), vt.end()) - vt.begin());
T.init((int)vt.size());
sort(f.begin(), f.end(), [&](pair<int, int> x, pair<int, int> y){
return x.second < y.second;
});
return get();
}
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