Cod sursa(job #3273606)

Utilizator MagicantPlusIuoras Andrei MagicantPlus Data 2 februarie 2025 20:42:15
Problema Arbori de intervale Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 4.63 kb
#include <bits/stdc++.h>

using namespace std;

#define ll long long
#define ull unsigned ll
#define vec vector
#define flist forward_list
#define um unordered_map
#define us unordered_set
#define prioq priority_queue
#define all(x) x.begin(), x.end()
#define pb push_back
#define pf push_front
#define fi first
#define se second
#define ld long double
#define pll pair<ll, ll>
#define tll tuple<ll, ll, ll>
#define ass assign
#define fun function

#define LL_MAX LLONG_MAX
#define LL_MIN LLONG_MIN
#define ULL_MAX ULLONG_MAX
#define LD_MAX LDBL_MAX
#define LD_MIN LDBL_MIN

#define nl '\n'

#define vv(type, name, n, ...) vector<vector<type>> name(n, vector<type>(__VA_ARGS__))
#define vvv(type, name, n, m, ...)                                                                                     \
    vector<vector<vector<type>>> name(n, vector<vector<type>>(m, vector<type>(__VA_ARGS__)))

// https://trap.jp/post/1224/
#define rep1(n) for(ll i=0; i<(ll)(n); ++i)
#define rep2(i,n) for(ll i=0; i<(ll)(n); ++i)
#define rep3(i,a,b) for(ll i=(ll)(a); i<(ll)(b); ++i)
#define rep4(i,a,b,c) for(ll i=(ll)(a); i<(ll)(b); i+=(c))
#define cut4(a,b,c,d,e,...) e
#define rep(...) cut4(__VA_ARGS__,rep4,rep3,rep2,rep1)(__VA_ARGS__)
#define rep1e(n) for(ll i=1; i<=(ll)(n); ++i)
#define rep2e(i,n) for(ll i=1; i<=(ll)(n); ++i)
#define rep3e(i,a,b) for(ll i=(ll)(a); i<=(ll)(b); ++i)
#define rep4e(i,a,b,c) for(ll i=(ll)(a); i<=(ll)(b); i+=(c))
#define repe(...) cut4(__VA_ARGS__,rep4e,rep3e,rep2e,rep1e)(__VA_ARGS__)
#define per1(n) for(ll i=((ll)n)-1; i>=0; --i)
#define per2(i,n) for(ll i=((ll)n)-1; i>=0; --i)
#define per3(i,a,b) for(ll i=((ll)a)-1; i>=(ll)(b); --i)
#define per4(i,a,b,c) for(ll i=((ll)a)-1; i>=(ll)(b); i-=(c))
#define per(...) cut4(__VA_ARGS__,per4,per3,per2,per1)(__VA_ARGS__)
#define per1e(n) for(ll i=((ll)n); i>=1; --i)
#define per2e(i,n) for(ll i=((ll)n); i>=1; --i)
#define per3e(i,a,b) for(ll i=((ll)a); i>=(ll)(b); --i)
#define per4e(i,a,b,c) for(ll i=((ll)a); i>=(ll)(b); i-=(c))
#define pere(...) cut4(__VA_ARGS__,per4e,per3e,per2e,per1e)(__VA_ARGS__)
#define rep_subset(i,s) for(ll i=(s); i>=0; i=(i==0?-1:(i-1)&(s)))
// #define forit(v) for (auto it = v.begin(); it != v.end(); it++)
// #define forit2(it, v) for (auto it = v.begin(); it != v.end(); it++)
// #define forrit(v) for (auto it = v.rbegin(); it != v.rend(); it++)
// #define forrit2(it, v) for (auto it = v.rbegin(); it != v.rend(); it++)

// #ifdef i_am_noob
#define bug(...) cerr << "#" << __LINE__ << ' ' << #__VA_ARGS__ << "- ", _do(__VA_ARGS__)
template<typename T> void _do(vector<vector<T>> x){cerr << "\n"; for(auto i: x) {for(auto j : i) {cerr << j << ' ';} cerr << "\n";}}
template<typename T> void _do(vector<T> x){for(auto i: x) cerr << i << ' ';cerr << "\n";}
template<typename T> void _do(set<T> x){for(auto i: x) cerr << i << ' ';cerr << "\n";}
template<typename T> void _do(unordered_set<T> x){for(auto i: x) cerr << i << ' ';cerr << "\n";}
template<typename T> void _do(T && x) {cerr << x << endl;}
template<typename T, typename ...S> void _do(T && x, S&&...y) {cerr << x << ", "; _do(y...);}
// #else
// #define bug(...) 777771449
// #endif

const ll MOD = 1e9 + 7;
const ll INF = (1ll << 59);

const string FILENAME = "arbint";
ifstream fin(FILENAME + ".in");
ofstream fout(FILENAME + ".out");

#define cin fin
#define cout fout

class DynHoshino
{
public:

	struct Node
	{
		ll v;
		ll l,r;
		Node*c[2];
		Node();
		Node(ll x, ll y):l(x),r(y){}
		void build(){v=max(c[0]->v,c[1]->v);}
		void addc(ll x)
		{
			if(l==r)return;
			if(x&1)c[0]=new Node(l,(l+r)/2);
			if(x&2)c[1]=new Node((l+r)/2+1,r);
		}
		tll vals(){return{l,r,(l+r)/2};}
	};
	
	Node *root;
	
	void build(vec<ll>&v)
	{
		root=new Node(0,v.size()-1);
		fun<void(Node*)>build_([&](Node*u)
		{
			ll l,r,mid;tie(l,r,mid)=u->vals();
			if(l==r)
			{
				u->v=v[l];
				return;
			}
			u->addc(3);
			build_(u->c[0]);
			build_(u->c[1]);
			u->build();
		});
		build_(root);
	}
	void update(ll x, ll val)
	{
		fun<void(Node*)>update_([&](Node*u)
		{
			ll l,r,mid;tie(l,r,mid)=u->vals();
			if(l==r)
			{
				u->v=val;
				return;
			}
			update_(u->c[x>mid]);
			u->build();
		});
		update_(root);
	}
	ll query(ll x, ll y)
	{
		ll ans=0;
		fun<void(Node*)>query_([&](Node*u)
		{
			ll l,r,mid;tie(l,r,mid)=u->vals();
			if(x<=l&&r<=y)
			{
				ans=max(ans,u->v);
				return;
			}
			if(x<=mid)query_(u->c[0]);
			if(mid<y)query_(u->c[1]);
		});
		query_(root);
		return ans;
	}
};

int main()
{
	ll n, m;
	cin >> n >> m;
	
	vec<ll> v(n); rep(n) cin >> v[i];
	DynHoshino ai;
	ai.build(v);
	
	rep(m)
	{
		ll t, a, b;
		cin >> t >> a >> b;
		
		if(t == 0)
		{
			a--,b--;
			cout << ai.query(a,b) << nl;
		}
		else
		{
			a--;
			ai.update(a,b);
		}
	}
	
    return 0;
}