Problem:
Range Minimum Query (RMQ)

Write a program which manipulates a sequence A = {a0, a1, . . . , an-1} with the following operations:

find(s, t): report the minimum element in as, as+1, . . . ,at.

update(i, x): change ai to x.

Note that the initial values of ai (i = 0, 1, . . . , n−1) are 231-1.

Input

n q
com0 x0 y0
com1 x1 y1
...
comq−1 xq−1 yq−1

In the first line, n (the number of elements in A) and q (the number of queries) are given. Then, q queries are given where com represents the type of queries. '0' denotes update(xi, yi) and '1' denotes find(xi, yi).

Output

For each find operation, print the minimum element.

Constraints

1 ≤ n ≤ 100000

1 ≤ q ≤ 100000

If comi is 0, then 0 ≤ xi < n, 0 ≤ yi < 231-1.

If comi is 1, then 0 ≤ xi < n, 0 ≤ yi < n.

Sample Input 1

3 5
0 0 1
0 1 2
0 2 3
1 0 2
1 1 2

Sample Output 1

1
2

Sample Input 2

1 3
1 0 0
0 0 5
1 0 0

Sample Output 2

2147483647
5

Solution in C++14 (judge verdict: Accepted)

//sub-BOF
#define _AOJ_
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//basic
#pragma GCC target("sse4")
#include "bits/stdc++.h"
using namespace std;
typedef long long lint;
typedef long double ld;
typedef string cs;
#define all(v) v.begin(),v.end()
#define pb push_back

//rep
#define _vcppunko4(tuple) _getname4 tuple
#define _getname4(_1,_2,_3,_4,name,...) name
#define _getname3(_1,_2,_3,name,...) name
#define _trep2(tuple) _rep2 tuple
#define _trep3(tuple) _rep3 tuple
#define _trep4(tuple) _rep4 tuple
#define _rep1(n) for(lint i=0;i<n;++i)
#define _rep2(i,n) for(lint i=0;i<n;++i)
#define _rep3(i,a,b) for(lint i=a;i<b;++i)
#define _rep4(i,a,b,c) for(lint i=a;i<b;i+=c)
#define _trrep2(tuple) _rrep2 tuple
#define _trrep3(tuple) _rrep3 tuple
#define _trrep4(tuple) _rrep4 tuple
#define _rrep1(n) for(lint i=n-1;i>=0;--i)
#define _rrep2(i,n) for(lint i=n-1;i>=0;--i)
#define _rrep3(i,a,b) for(lint i=b-1;i>=a;--i)
#define _rrep4(i,a,b,c) for(lint i=a+(b-a-1)/c*c;i>=a;i-=c)
#define rep(...) _vcppunko4((__VA_ARGS__,_trep4,_trep3,_trep2,_rep1))((__VA_ARGS__))
#define per(...) _vcppunko4((__VA_ARGS__,_trrep4,_trrep3,_trrep2,_rrep1))((__VA_ARGS__))
#define each(c) for(auto &e:c)

//io
template<class T>
istream& operator>>(istream& is,vector<T>& vec);
template<class T,size_t size>
istream& operator>>(istream& is,array<T,size>& vec);
template<class T,class L>
istream& operator>>(istream& is,pair<T,L>& p);
template<class T>
ostream& operator<<(ostream& os,vector<T>& vec);
template<class T,class L>
ostream& operator<<(ostream& os,pair<T,L>& p);
template<class T>
istream& operator>>(istream& is,vector<T>& vec){ for(T& x: vec) is>>x;return is; }
template<class T,class L>
istream& operator>>(istream& is,pair<T,L>& p){ is>>p.first;is>>p.second;return is; }
template<class T,class L>
ostream& operator<<(ostream& os,pair<T,L>& p){ os<<p.first<<" "<<p.second;return os; }
template<class T>
ostream& operator<<(ostream& os,vector<T>& vec){ os<<vec[0];rep(i,1,vec.size())os<<' '<<vec[i];return os; }
template<class T>
ostream& operator<<(ostream& os,deque<T>& deq){ os<<deq[0];rep(i,1,deq.size())os<<' '<<deq[i];return os; }

#ifdef __ENV_TQK__
#include<Windows.h>
HANDLE hConsole = GetStdHandle(STD_OUTPUT_HANDLE);
inline void in(){ SetConsoleTextAttribute(hConsole,10); }
template <class Head,class... Tail>
inline void in(Head&& head,Tail&&... tail){
	SetConsoleTextAttribute(hConsole,15);
	cin>>head;in(move(tail)...);
}
#else
inline void in(){}
template <class Head,class... Tail>
inline void in(Head&& head,Tail&&... tail){ cin>>head;in(move(tail)...); }
#endif



inline bool out(){ return(cout<<'\n',0); }
template <class T>
inline bool out(T t){ return(cout<<t<<'\n',0); }
template <class Head,class... Tail>
inline bool out(Head head,Tail... tail){ cout<<head<<' ';out(move(tail)...);return 0; }
template <class T>
inline void alloc(T &c,lint s){ rep(c.size())c[i].resize(s); }
#define alc alloc

//TA
#define lin(...) lint __VA_ARGS__;in(__VA_ARGS__)
#define stin(...) string __VA_ARGS__;in(__VA_ARGS__)
#define vin(type,name,size) vector<type> name(size);in(name)
#define vvin(type,name,h,...) vector<vector<type>>name(h,vector<type>(__VA_ARGS__));in(name)
#define fi e.first
#define se e.second
#define YES(c) cout<<((c)?"YES\n":"NO\n"),0
#define Yes(c) cout<<((c)?"Yes\n":"No\n"),0
#define POSSIBLE(c) cout<<((c)?"POSSIBLE\n":"IMPOSSIBLE\n"),0
#define Possible(c) cout<<((c)?"Possible\n":"Impossible\n"),0
#define o(p) cout<<p<<endl,0
#define sp(p) cout<<p<<" "
#define no(p) cout<<p
inline constexpr lint gcd(lint a,lint b){ if(!a||!b)return 0;while(b){ lint c=b;b=a%b;a=c; }return a; }
template<typename T>
inline constexpr bool chmin(T &mn,const T &cnt){ if(mn>cnt){ mn=cnt;return 1; } else return 0; }
template<typename T>
inline constexpr bool chmax(T &mx,const T &cnt){ if(mx<cnt){ mx=cnt;return 1; } else return 0; }
#define ve(type) vector<type>
#define fn(ty1,ty2,ex) [](ty1 a,ty2 b){ return(ex); }
#define lfn(ex) [](lint a,lint b){ return(ex); }

//other
#ifdef __ENV_TQK__
#define deb(p) cout<<p<<endl,0
#else
#define deb(p) 0
#endif
struct Fastio{
	Fastio(){
		cin.tie(0),cout.tie(0);
		ios::sync_with_stdio(0);
		cout<<fixed<<setprecision(10);
	}
} __fastio;


//mint
#define md_tmp template<uint_fast64_t md=1000000007>
md_tmp class mint{
	using u64=uint_fast64_t;

public:
	u64 a;

	constexpr mint(const u64 x=0) noexcept: a(x%md){}
	constexpr u64 &value() noexcept{ return a; }
	constexpr const u64 &value() const noexcept{ return a; }
	constexpr mint operator+(const mint rhs) const noexcept{
		return mint(*this)+=rhs;
	}
	constexpr mint operator-(const mint rhs) const noexcept{
		return mint(*this)-=rhs;
	}
	constexpr mint operator*(const mint rhs) const noexcept{
		return mint(*this)*=rhs;
	}
	constexpr mint operator^(const lint rhs) const noexcept{
		return mint(*this)^=rhs;
	}
	constexpr mint operator/(const mint rhs) const noexcept{
		return mint(*this)/=rhs;
	}
	constexpr mint &operator+=(const mint rhs) noexcept{
		a+=rhs.a;
		if(a>=md)a-=md;
		return *this;
	}
	constexpr mint &operator-=(const mint rhs) noexcept{
		if(a<rhs.a)a+=md;
		a-=rhs.a;
		return *this;
	}
	constexpr mint &operator*=(const mint rhs) noexcept{
		a=a*rhs.a%md;
		return *this;
	}
	constexpr mint &operator^=(const lint rhs) noexcept{
		if(!rhs)return *this=1;
		u64 exp=rhs-1;
		mint base=this->a;
		while(exp){
			if(exp&1)*this*=base;
			base*=base;
			exp>>=1;
		}
		return *this;
	}
	constexpr mint &operator/=(const mint rhs) noexcept{
		a=(*this*(rhs^(md-2))).a;
		return *this;
	}
};
md_tmp istream& operator>>(istream& os,mint<md>& m){
	os>>m.a,m.a%=md;
	return os;
}
md_tmp ostream& operator<<(ostream& os,const mint<md>& m){
	return os<<m.a;
}
md_tmp mint<md> ncr(lint n,lint r){
	if(n<r||n<0||r<0)return mint<md>(0);
	mint<md>ncr_res=1,ncr_div=1;
	rep(r)ncr_res*=(n-i),ncr_div*=(r-i);
	return ncr_res/ncr_div;
}
#ifndef _AOJ_
mint<> operator""m(const unsigned long long n){ return mint<>(n); }
mint<998244353> operator""m9(const unsigned long long n){ return mint<998244353>(n); }
mint<1000003> operator""m3(const unsigned long long n){ return mint<1000003>(n); }
#endif


//const
#define linf 1152921504606846976
#define inf linf
#define MAXN 330
#define md_1e9_7 1000000007
#define md_998244353 998244353
#define pi 3.14159265358979323846
//#define mod md_1e9_7
const int d4[5]={0,1,0,-1,0};

//main------

class P{ public:lint f,s; P(lint a,lint b):f(a),s(b){}; P():f(0),s(0){}; };
istream& operator>>(istream& os,P& p){ os>>p.f>>p.s;return os; }
bool operator<(const P& l,const P& r){ return(l.f-r.f?l.f<r.f:l.s<r.s); }
bool operator>(const P& l,const P& r){ return(l.f-r.f?l.f>r.f:l.s>r.s); }

template < class Monoid >
struct Ushi{
private:
	using T = typename Monoid::T;
	using size_type = std::size_t;
	size_type n;
	std::vector< T > data;
	// call after touch data[i]
	void prop(int i){ data[i] = Monoid::op(data[2 * i],data[2 * i + 1]); }

public:
	Ushi(): n(0){}
	Ushi(int n,T initial = Monoid::identity()): n(n){
		data.resize(n * 2,initial);
		for(int i = n - 1; i > 0; i--) data[i] = Monoid::op(data[i * 2],data[i * 2 + 1]);
	}
	template < class InputIter,
		class = typename std::iterator_traits< InputIter >::value_type >
		Ushi(InputIter first,InputIter last) : Ushi(distance(first,last)){
		copy(first,last,data.begin() + n);
		// fill from deep
		for(int i = n - 1; i > 0; i--) prop(i);
	}
	Ushi(std::vector< T > v): Ushi(v.begin(),v.end()){}
	Ushi(std::initializer_list< T > v): Ushi(v.begin(),v.end()){}
	void set(size_t i,const T &v){
		assert(i < n);
		data[i += n] = v;
		while(i >>= 1) prop(i); // propUp
	}
	T get(size_t i){
		assert(i < n);
		return data[i + n];
	}
	T fold(int l,int r){
		if(l < 0) l = 0;
		if(l >= r) return Monoid::identity();
		if(r > static_cast<int>(n)) r = n;
		T tmpL = Monoid::identity(),tmpR = Monoid::identity();
		for(l += n,r += n; l < r; l >>= 1,r >>= 1){
			if(l & 1) tmpL = Monoid::op(tmpL,data[l++]);
			if(r & 1) tmpR = Monoid::op(data[--r],tmpR);
		}
		return Monoid::op(tmpL,tmpR);
	}
	size_type size(){ return n; }
	inline void dum(int r = -1){
#ifdef DEBUG
		if(r < 0) r = n;
		DEBUG_OUT << "{";
		for(int i = 0; i < std::min< int >(r,n); i++) DEBUG_OUT << (i ? ", " : "") << get(i);
		DEBUG_OUT << "}" << std::endl;
#endif
	}
};

constexpr long long inf_monoid = 1e18 + 100;
struct Nothing{
	using T = char;
	using Monoid = Nothing;
	using M = T;
	static constexpr T op(const T &,const T &){ return T(); }
	static constexpr T identity(){ return T(); }
	template < class X >
	static constexpr X actInto(const M &,long long,const X &x){
		return x;
	}
};

template < class U = long long >
struct RangeMin{
	using T = U;
	static T op(const T &a,const T &b){ return std::min< T >(a,b); }
	static constexpr T identity(){ return T(inf_monoid); }
};

template < class U = long long >
struct RangeMax{
	using T = U;
	static T op(const T &a,const T &b){ return std::max< T >(a,b); }
	static constexpr T identity(){ return T(-inf_monoid); }
};

template < class U = long long >
struct RangeSum{
	using T = U;
	static T op(const T &a,const T &b){ return a + b; }
	static constexpr T identity(){ return T(0); }
};

template < class U >
struct RangeProd{
	using T = U;
	static T op(const T &a,const T &b){ return a * b; }
	static constexpr T identity(){ return T(1); }
};

template < class U = long long >
struct RangeOr{
	using T = U;
	static T op(const T &a,const T &b){ return a | b; }
	static constexpr T identity(){ return T(0); }
};

template < class U = long long >
struct RangeAnd{
	using T = U;
	static T op(const T &a,const T &b){ return a & b; }
	static constexpr T identity(){ return T(-1); }
};

template < size_t N >
struct RangeAnd< std::bitset< N > >{
	using T = std::bitset< N >;
	static T op(const T &a,const T &b){ return a & b; }
	static constexpr T identity(){ return std::bitset< N >().set(); }
};

int main(){
	lint n,q;in(n,q);
	lint com,x,y;
	Ushi<RangeMin<>>ki(n,INT_MAX);
	while(q--){
		in(com,x,y);
		if(com){
			out(ki.fold(x,++y));
		} else{
			ki.set(x,y);
		}
	}
}

//sub-EOF