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>
#define int long long
using namespace std;
string to_string(string s) { return s; }
template <typename T> string to_string(T v) {
bool first = true;
string res = "[";
for (const auto &x : v) {
if (!first)
res += ", ";
first = false;
res += to_string(x);
}
res += "]";
return res;
}
void dbg_out() { cout << endl; }
template <typename Head, typename... Tail> void dbg_out(Head H, Tail... T) {
cout << ' ' << to_string(H);
dbg_out(T...);
}
#ifdef DEBUG
#define dbg(...) cout << "(" << #__VA_ARGS__ << "):", dbg_out(__VA_ARGS__)
#else
#define dbg(...)
#endif
inline char gc() { // like getchar()
static char buf[1 << 16];
static size_t bc, be;
if (bc >= be) {
buf[0] = 0, bc = 0;
be = fread(buf, 1, sizeof(buf), stdin);
}
return buf[bc++]; // returns 0 on EOF
}
int readInt() {
int a, c;
while ((a = gc()) < 40)
;
if (a == '-')
return -readInt();
while ((c = gc()) >= 48)
a = a * 10 + c - 480;
return a - 48;
}
template <class T> struct RMQ {
vector<vector<T>> jmp;
RMQ(const vector<T> &V) : jmp(1, V) {
for (int pw = 1, k = 1; pw * 2 <= (int)V.size(); pw *= 2, ++k) {
jmp.emplace_back((int)V.size() - pw * 2 + 1);
for (int j = 0; j < (int)jmp[k].size(); ++j)
jmp[k][j] = max(jmp[k - 1][j], jmp[k - 1][j + pw]);
}
}
T query(int a, int b) { // [a, b)
assert(a < b);
int dep = 31 - __builtin_clz(b - a);
return max(jmp[dep][a], jmp[dep][b - (1 << dep)]);
}
};
template <class T> class Fenwick {
public:
int lim;
vector<T> bit;
Fenwick(int n) : lim(n + 1), bit(lim) {}
void upd(int pos, T val) {
for (pos++; pos < lim; pos += pos & -pos)
bit[pos] += val;
}
T sum(int r) { // < r
T ret = 0;
for (; r; r -= r & -r)
ret += bit[r];
return ret;
}
T sum(int l, int r) { // [l, r)
return sum(r) - sum(l);
}
void rangeAdd(int deb, int fin, int x) { // [deb, fin)
dbg(deb, fin, x);
upd(deb, x);
upd(fin, -x);
}
int point(int pos) { return sum(pos + 1); }
};
template <class T> using min_pq = priority_queue<T, vector<T>, greater<T>>;
vector<vector<pair<int, int>>> onPos;
RMQ<pair<int, int>> rmq({});
Fenwick<int> fen(0);
pair<min_pq<tuple<int, int, int>>, int> dfs(int deb, int fin, int prevHeight) {
auto [valMax, posMax] = rmq.query(deb, fin);
min_pq<tuple<int, int, int>> toProcess;
for (auto [y, c] : onPos[posMax])
toProcess.emplace(y, posMax, c);
int solFree = 0;
int addL = 0, addR = 0;
if (deb < posMax) {
auto [toAdd, freeL] = dfs(deb, posMax, valMax);
if (toAdd.size() > toProcess.size())
toAdd.swap(toProcess);
while (!toAdd.empty()) {
toProcess.emplace(toAdd.top());
toAdd.pop();
}
addL = freeL;
solFree += freeL;
}
if (posMax + 1 < fin) {
auto [toAdd, freeR] = dfs(posMax + 1, fin, valMax);
if (toAdd.size() > toProcess.size())
toAdd.swap(toProcess);
while (!toAdd.empty()) {
toProcess.emplace(toAdd.top());
toAdd.pop();
}
addR = freeR;
solFree += freeR;
}
fen.rangeAdd(posMax, fin, addL);
fen.rangeAdd(deb, posMax + 1, addR);
while (!toProcess.empty() and get<0>(toProcess.top()) <= prevHeight) {
auto [y, x, c] = toProcess.top();
toProcess.pop();
int gain = c + fen.point(x);
dbg(x, y, gain, fen.point(x));
solFree = max(solFree, gain);
}
dbg(deb, fin, solFree);
return pair(move(toProcess), solFree);
}
signed main(void) {
ios_base::sync_with_stdio(false);
cin.tie(0);
int N = readInt();
vector<int> height(N);
for (int &x : height)
x = readInt();
vector<pair<int, int>> toRMQ;
for (int i = 0; i < N; ++i)
toRMQ.emplace_back(height[i], i);
onPos.resize(N);
rmq = RMQ(toRMQ);
int nbEtoiles = readInt();
int totCost = 0;
for (int i = 0; i < nbEtoiles; ++i) {
int x = readInt(), y = readInt(), c = readInt();
totCost += c;
onPos[x - 1].emplace_back(y, c);
}
fen = Fenwick<int>(N);
cout << totCost - dfs(0, N, 1e18).second << endl;
}
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