Segcolt 3c58d90011 Do a problem about merging on a segment tree
Hope I can do it for real when it comes
2024-09-26 16:34:42 -03:00

125 lines
3.2 KiB
C++

/* Problem URL: https://codeforces.com/edu/course/2/lesson/4/2/practice/contest/273278/problem/A */
#include <bits/stdc++.h>
using namespace std;
#define V vector
#define rmin(a, b) a = min(a, b)
#define rmax(a, b) a = max(a, b)
#define rep(i, lim) for (size_t i = 0; i < (lim); i++)
#define nrep(i, s, lim) for (size_t i = s; i < (lim); i++)
#define repv(i, v) for (auto &i : (v))
#define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; }
#define sortv(v) sort(v.begin(), v.end())
#define all(v) (v).begin(), (v).end()
using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using vvvvi = vector<vvvi>;
using ll = long long;
using vl = vector<ll>;
using vvl = vector<vl>;
using vvvl = vector<vvl>;
using vvvvl = vector<vvvl>;
template<class v>
auto operator<<(ostream &os, const vector<v> &vec)->ostream& {
os << vec[0];
for (size_t i = 1; i < vec.size(); i++) {
os << ' ' << vec[i];
}
os << '\n';
return os;
}
template<class v>
auto operator>>(istream &is, vector<v> &vec)->istream& {
for (auto &i : vec) {
is >> i;
}
return is;
}
template<class v>
auto operator<<(ostream &os, const vector<vector<v>> &vec)->ostream& {
for (auto &i : vec) {
os << i[0];
for (size_t j = 1; j < i.size(); j++) {
os << ' ' << i[j];
}
os << '\n';
}
return os;
}
template<class v>
auto operator>>(istream &is, vector<vector<v>> &vec)->istream& {
for (auto &i : vec) {
for (auto &j : i) {
is >> j;
}
}
return is;
}
struct node {
ll ans;
ll sum;
ll pref;
ll suf;
node(ll ans, ll sum, ll pref, ll suf): ans(ans), sum(sum), pref(pref), suf(suf) {}
node() = default;
};
V<node> segtree;
int main()
{
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n, m;
cin >> n >> m;
vl ar(n);
cin >> ar;
while (__builtin_popcount(n) != 1) {
ar.push_back(-1);
n++;
}
segtree.resize(n * 2);
for (size_t i = n; i < n * 2; i++) {
segtree[i] = node(max(ar[i - n], 0LL), ar[i - n], max(ar[i - n], 0LL), max(ar[i - n], 0LL));
}
for (size_t i = n - 1; i > 0; i--) {
segtree[i].ans = max(segtree[i * 2].suf + segtree[i * 2 + 1].pref, max(segtree[i * 2].ans, segtree[i * 2 + 1].ans));
segtree[i].sum = segtree[i * 2].sum + segtree[i * 2 + 1].sum;
segtree[i].pref = max(segtree[i * 2].pref, segtree[i * 2].sum + segtree[i * 2 + 1].pref);
segtree[i].suf = max(segtree[i * 2 + 1].suf, segtree[i * 2 + 1].sum + segtree[i * 2].suf);
}
cout << segtree[1].ans << '\n';
while (m--) {
ll i, v;
cin >> i >> v;
segtree[n + i] = node(max(v, 0LL), v, max(v, 0LL), max(v, 0LL));
for (size_t j = (n + i) / 2; j > 0; j /= 2) {
segtree[j].ans = max(segtree[j * 2].suf + segtree[j * 2 + 1].pref, max(segtree[j * 2].ans, segtree[j * 2 + 1].ans));
segtree[j].sum = segtree[j * 2].sum + segtree[j * 2 + 1].sum;
segtree[j].pref = max(segtree[j * 2].pref, segtree[j * 2].sum + segtree[j * 2 + 1].pref);
segtree[j].suf = max(segtree[j * 2 + 1].suf, segtree[j * 2 + 1].sum + segtree[j * 2].suf);
}
cout << segtree[1].ans << '\n';
}
}