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90 changes: 90 additions & 0 deletions khj20006/202511/29 BOJ P4 츠바메가에시.md
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```cpp
#include <bits/stdc++.h>
using namespace std;

struct SegmentTree {
vector<pair<int, int>> tree;

pair<int, int> mrg(pair<int, int> &a, pair<int, int> &b) {
int mx1 = 0, mx2 = 0;
mx1 = max(a.first, b.first);
if (mx1 == a.first) mx2 = max(a.second, b.first);
else mx2 = max(a.first, b.second);
return { mx1, mx2 };
}
public:
SegmentTree(int sz) {
tree.resize(sz * 4);
}

void upt(int s, int e, int i, int v, int n) {
if (s == e) {
tree[n].first += v;
return;
}
int m = (s + e) >> 1;
if (i <= m) upt(s, m, i, v, n << 1);
else upt(m + 1, e, i, v, n << 1 | 1);
tree[n] = mrg(tree[n << 1], tree[n << 1 | 1]);
}
};

int N;
SegmentTree* segX = new SegmentTree(1000001);
SegmentTree* segY = new SegmentTree(1000001);
vector<pair<int, int>> X[1000001];
vector<pair<int, int>> Y[1000001];

int main() {
cin.tie(0)->sync_with_stdio(0);

cin >> N;
for (int i = 0, x, y, v; i < N; i++) {
cin >> x >> y >> v;
X[x].emplace_back(y, v);
Y[y].emplace_back(x, v);
segX->upt(0, 1000000, x, v, 1);
segY->upt(0, 1000000, y, v, 1);
}

int ans = 0;
int xmx1 = 0, xmx2 = 0, xmx3 = 0;
for (int x = 0; x <= 1000000; x++) {
int sum = 0;
for (auto [y, v] : X[x]) {
segY->upt(0, 1000000, y, -v, 1);
sum += v;
}
auto [a, b] = segY->tree[1];
ans = max(ans, sum + a + b);
for (auto [y, v] : X[x]) {
segY->upt(0, 1000000, y, v, 1);
}
if (sum > xmx1) xmx3 = xmx2, xmx2 = xmx1, xmx1 = sum;
else if (sum > xmx2) xmx3 = xmx2, xmx2 = sum;
else if (sum > xmx3) xmx3 = sum;
}
ans = max(ans, xmx1 + xmx2 + xmx3);

int ymx1 = 0, ymx2 = 0, ymx3 = 0;
for (int y = 0; y <= 1000000; y++) {
int sum = 0;
for (auto [x, v] : Y[y]) {
segX->upt(0, 1000000, x, -v, 1);
sum += v;
}
auto [a, b] = segX->tree[1];
ans = max(ans, sum + a + b);
for (auto [x, v] : Y[y]) {
segX->upt(0, 1000000, x, v, 1);
}
if (sum > ymx1) ymx3 = ymx2, ymx2 = ymx1, ymx1 = sum;
else if (sum > ymx2) ymx3 = ymx2, ymx2 = sum;
else if (sum > ymx3) ymx3 = sum;
}
ans = max(ans, ymx1 + ymx2 + ymx3);

cout << ans;

}
```