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teamnote/2025spring/source/DS/LiChaoTree.cpp
2026-06-03 09:36:52 +09:00

69 lines
1.9 KiB
C++

struct Line
{
ll a=0, b=(ll)2e18+7;
ll operator()(ll x){return a*x+b;}
Line():a(0),b((ll)2e18+7){}
Line(ll a, ll b):a(a), b(b){}
};
ll middle(ll s, ll e){return (s+e+(ll)2e18)/2-(ll)1e18;}
struct Node {
Node *l=0, *r=0;
Line v;
Node():l(0), r(0), v(Line()){}
};
void insert(Node* node, Line v, ll l, ll r, ll s, ll e) {
ll mid=middle(s, e);
if(e < l or r < s) return;
if(s == e) {
node->v = (node->v(s) < v(s))?node->v:v;
return;
}
if(!node->l) node->l = new Node();
if(!node->r) node->r = new Node();
if(l <= s and e <= r) {
if(node->v(s) >= v(s) and node->v(e) >= v(e)){node->v = v; return;}
if(node->v(s) <= v(s) and node->v(e) <= v(e)) return;
insert(node->l, v, l, r, s, mid);
insert(node->r, v, l, r, mid+1, e);
}
else {
insert(node->l, v, l, r, s, mid);
insert(node->r, v, l, r, mid+1, e);
}
}
ll query(Node* node, ll x, ll s, ll e)
{
if(!node) return (ll)2e18+7;
if(x < s or e < x) return (ll)2e18+7;
if(s == e) return node->v(x);
ll mid = middle(s, e);
return min({query(node->l, x, s,mid), query(node->r, x, mid+1, e), node->v(x)});
}
// 전체 구간을 미리 고정해 놓아야 함.
// (const int L = -1e9, R = 1e9);
// Insert : insert(root, Line 객체, l, r, L, R);
// Query : query(root, x, L, R);
int main() {
Node *root = new Node();
getint(n); getint(Q);
forr(i, n) {
getll(l); getll(r); getll(a); getll(b);
insert(root, Line(a,b), l,r-1,(ll)-1e9-7, (ll)1e9+7);
}
while(Q--) {
getint(q);
if(q == 0) {
getll(l); getll(r); getll(a); getll(b);
insert(root, Line(a,b), l,r-1,(ll)-1e9-7, (ll)1e9+7);
}
if(q == 1) {
getll(x);
ll ans = query(root, x,(ll)-1e9-7, (ll)1e9+7);
if(ans == (ll)2e18+7) printf("INFINITY\n");
else printf("%lld\n", ans);
}
}
}