#line 1 "verify/data-structure/LC_range_add_range_min.test.cpp"
#define PROBLEM "https://judge.yosupo.jp/problem/range_add_range_min"
#line 2 "template/template.hpp"
#include <bits/stdc++.h>
using namespace std ;
#line 2 "template/macro.hpp"
#define rep(i, a, b) for (int i = (a); i < (int)(b); i++)
#define rrep(i, a, b) for (int i = (int)(b) - 1; i >= (a); i--)
#define ALL(v) (v).begin(), (v).end()
#define UNIQUE(v) sort(ALL(v)), (v).erase(unique(ALL(v)), (v).end())
#define SZ(v) (int)v.size()
#define MIN(v) *min_element(ALL(v))
#define MAX(v) *max_element(ALL(v))
#define LB(v, x) int(lower_bound(ALL(v), (x)) - (v).begin())
#define UB(v, x) int(upper_bound(ALL(v), (x)) - (v).begin())
#define YN(b) cout << ((b) ? "YES" : "NO") << "\n";
#define Yn(b) cout << ((b) ? "Yes" : "No") << "\n";
#define yn(b) cout << ((b) ? "yes" : "no") << "\n";
#line 6 "template/template.hpp"
#line 2 "template/util.hpp"
using uint = unsigned int ;
using ll = long long int ;
using ull = unsigned long long ;
using i128 = __int128_t ;
using u128 = __uint128_t ;
template < class T >
using priority_queue_asc = priority_queue < T , vector < T > , greater < T >> ;
template < class T , class S = T >
S SUM ( const vector < T >& a ) {
return accumulate ( ALL ( a ), S ( 0 ));
}
template < class T1 , class T2 >
inline bool chmin ( T1 & a , T2 b ) {
if ( a > b ) {
a = b ;
return true ;
}
return false ;
}
template < class T1 , class T2 >
inline bool chmax ( T1 & a , T2 b ) {
if ( a < b ) {
a = b ;
return true ;
}
return false ;
}
template < class T1 , class T2 >
inline bool chmin_opt ( optional < T1 >& a , T2 b ) {
if ( ! a || a > b ) {
a = b ;
return true ;
}
return false ;
}
template < class T1 , class T2 >
inline bool chmax_opt ( optional < T1 >& a , T2 b ) {
if ( ! a || a < b ) {
a = b ;
return true ;
}
return false ;
}
template < class T >
int popcnt ( T x ) {
return __builtin_popcountll ( x );
}
template < class T >
int topbit ( T x ) {
return ( x == 0 ? - 1 : 63 - __builtin_clzll ( x ));
}
template < class T >
int lowbit ( T x ) {
return ( x == 0 ? - 1 : __builtin_ctzll ( x ));
}
#line 8 "template/template.hpp"
#line 2 "template/inout.hpp"
struct Fast {
Fast () {
cin . tie ( nullptr );
ios_base :: sync_with_stdio ( false );
cout << fixed << setprecision ( 15 );
}
} fast ;
ostream & operator << ( ostream & os , __uint128_t x ) {
char buf [ 40 ];
size_t k = 0 ;
while ( x > 0 ) buf [ k ++ ] = ( char )( x % 10 + '0' ), x /= 10 ;
if ( k == 0 ) buf [ k ++ ] = '0' ;
while ( k ) os << buf [ -- k ];
return os ;
}
ostream & operator << ( ostream & os , __int128_t x ) {
return x < 0 ? ( os << '-' << ( __uint128_t )( - x )) : ( os << ( __uint128_t ) x );
}
template < class T , size_t N >
ostream & operator << ( ostream & os , const array < T , N >& a );
template < class T1 , class T2 >
istream & operator >> ( istream & is , pair < T1 , T2 >& p ) {
return is >> p . first >> p . second ;
}
template < class T1 , class T2 >
ostream & operator << ( ostream & os , const pair < T1 , T2 >& p ) {
return os << p . first << " " << p . second ;
}
template < class T >
istream & operator >> ( istream & is , vector < T >& a ) {
for ( auto & v : a ) is >> v ;
return is ;
}
template < class T >
ostream & operator << ( ostream & os , const vector < T >& a ) {
for ( auto it = a . begin (); it != a . end ();) {
os << * it ;
if ( ++ it != a . end ()) os << " " ;
}
return os ;
}
template < class T , size_t N >
ostream & operator << ( ostream & os , const array < T , N >& a ) {
for ( auto it = a . begin (); it != a . end ();) {
os << * it ;
if ( ++ it != a . end ()) os << " " ;
}
return os ;
}
template < class T >
ostream & operator << ( ostream & os , const set < T >& st ) {
os << "{" ;
for ( auto it = st . begin (); it != st . end ();) {
os << * it ;
if ( ++ it != st . end ()) os << "," ;
}
os << "}" ;
return os ;
}
template < class T1 , class T2 >
ostream & operator << ( ostream & os , const map < T1 , T2 >& mp ) {
os << "{" ;
for ( auto it = mp . begin (); it != mp . end ();) {
os << it -> first << ":" << it -> second ;
if ( ++ it != mp . end ()) os << "," ;
}
os << "}" ;
return os ;
}
void in () {}
template < typename T , class ... U >
void in ( T & t , U & ... u ) {
cin >> t ;
in ( u ...);
}
template < class ... T >
void in_zip ( int n , T & ... t ) {
assert ( n >= 0 && (( size ( t ) >= static_cast < size_t > ( n )) && ...));
for ( int i = 0 ; i < n ; i ++ ) in ( t [ i ]...);
}
void out () { cout << " \n " ; }
template < typename T , class ... U , char sep = ' ' >
void out ( const T & t , const U & ... u ) {
cout << t ;
if ( sizeof ...( u )) cout << sep ;
out ( u ...);
}
template < class T , class U >
void out_opt ( const optional < T >& opt , const U & fallback , ostream & os = cout ) {
if ( opt . has_value ())
os << opt . value ();
else
os << fallback ;
os << " \n " ;
}
template < class T , class U >
void out_opt ( const vector < optional < T >>& vec , const U & fallback , ostream & os = cout ) {
for ( auto it = vec . begin (); it != vec . end ();) {
if (( * it ). has_value ())
os << ( * it ). value ();
else
os << fallback ;
if ( ++ it != vec . end ()) os << " " ;
}
os << " \n " ;
}
namespace IO {
template < class T , class ... U >
T read ( U && ... u ) {
T t = T ( forward < U > ( u )...);
in ( t );
return t ;
}
namespace Graph {
vector < vector < int >> unweighted ( int n , int m , bool directed = false , int offset = 1 ) {
vector < vector < int >> g ( n );
for ( int i = 0 ; i < m ; i ++ ) {
int u , v ;
cin >> u >> v ;
u -= offset , v -= offset ;
g [ u ]. push_back ( v );
if ( ! directed ) g [ v ]. push_back ( u );
}
return g ;
}
template < class T >
vector < vector < pair < int , T >>> weighted ( int n , int m , bool directed = false , int offset = 1 ) {
vector < vector < pair < int , T >>> g ( n );
for ( int i = 0 ; i < m ; i ++ ) {
int u , v ;
T w ;
cin >> u >> v >> w ;
u -= offset , v -= offset ;
g [ u ]. push_back ({ v , w });
if ( ! directed ) g [ v ]. push_back ({ u , w });
}
return g ;
}
} // namespace Graph
namespace Tree {
vector < vector < int >> unweighted ( int n , bool directed = false , int offset = 1 ) {
return Graph :: unweighted ( n , n - 1 , directed , offset );
}
template < class T >
vector < vector < pair < int , T >>> weighted ( int n , bool directed = false , int offset = 1 ) {
return Graph :: weighted < T > ( n , n - 1 , directed , offset );
}
vector < vector < int >> rooted ( int n , bool to_root = true , bool to_leaf = true , int offset = 1 ) {
vector < vector < int >> g ( n );
for ( int i = 1 ; i < n ; i ++ ) {
int p ;
cin >> p ;
p -= offset ;
if ( to_root ) g [ i ]. push_back ( p );
if ( to_leaf ) g [ p ]. push_back ( i );
}
return g ;
}
} // namespace Tree
} // namespace IO
#line 10 "template/template.hpp"
#line 2 "template/debug.hpp"
#ifdef LOCAL
#define debug 1
#define show(...) _show(0, #__VA_ARGS__, __VA_ARGS__)
#else
#define debug 0
#define show(...) true
#endif
template < class T >
void _show ( int , T ) {
cerr << '\n' ;
}
template < class T1 , class T2 , class ... T3 >
void _show ( int i , const T1 & a , const T2 & b , const T3 & ... c ) {
for (; a [ i ] != ',' && a [ i ] != '\0' ; i ++ ) cerr << a [ i ];
cerr << ":" << b << " " ;
_show ( i + 1 , a , c ...);
}
#line 2 "data-structure/range-add-range-min.hpp"
template < class T >
struct RangeAddRangeMin {
RangeAddRangeMin () : RangeAddRangeMin ( 0 ) {}
explicit RangeAddRangeMin ( int n ) : RangeAddRangeMin ( vector < T > ( n , T ( 0 ))) {}
explicit RangeAddRangeMin ( const vector < T >& a ) : N ( a . size ()), root_min ( T ( 0 )), diff ( max ( 0 , N - 1 ), T ( 0 )) {
if ( N > 0 ) root_min = build ( 0 , 0 , N , a );
}
void add ( int l , int r , T x ) {
if ( l >= r ) return ;
assert ( 0 <= l && l <= r && r <= N );
root_min += add ( 0 , 0 , N , l , r , x );
}
T min ( int l , int r ) const {
assert ( 0 <= l && l <= r && r <= N );
assert ( l < r );
return min ( 0 , 0 , N , l , r , root_min );
}
T prod ( int l , int r ) const { return min ( l , r ); }
T get ( int p ) const {
assert ( 0 <= p && p < N );
return min ( p , p + 1 );
}
T all_min () const {
assert ( N > 0 );
return root_min ;
}
T all_prod () const { return all_min (); }
int size () const { return N ; }
private:
int N ;
T root_min ;
vector < T > diff ;
static int internal_count ( int len ) { return max ( 0 , len - 1 ); }
static int right_child ( int id , int l , int m ) { return id + 1 + internal_count ( m - l ); }
T build ( int id , int l , int r , const vector < T >& a ) {
if ( r - l == 1 ) return a [ l ];
int m = ( l + r ) / 2 ;
T ml = build ( id + 1 , l , m , a );
T mr = build ( right_child ( id , l , m ), m , r , a );
diff [ id ] = ml - mr ;
return std :: min ( ml , mr );
}
T add ( int id , int l , int r , int ql , int qr , T x ) {
if ( qr <= l || r <= ql ) return T ( 0 );
if ( ql <= l && r <= qr ) return x ;
int m = ( l + r ) / 2 ;
int rid = right_child ( id , l , m );
T dl = add ( id + 1 , l , m , ql , qr , x );
T dr = add ( rid , m , r , ql , qr , x );
T d = diff [ id ];
T ret = d <= T ( 0 ) ? std :: min ( dl , - d + dr ) : std :: min ( d + dl , dr );
diff [ id ] = d + dl - dr ;
return ret ;
}
T min ( int id , int l , int r , int ql , int qr , T cur_min ) const {
if ( qr <= l || r <= ql ) return numeric_limits < T >:: max ();
if ( ql <= l && r <= qr ) return cur_min ;
int m = ( l + r ) / 2 ;
T d = diff [ id ];
T left_min = cur_min + max ( d , T ( 0 ));
T right_min = cur_min + max ( - d , T ( 0 ));
return std :: min ( min ( id + 1 , l , m , ql , qr , left_min ), min ( right_child ( id , l , m ), m , r , ql , qr , right_min ));
}
};
/**
* @brief Range Add Range Min
* @docs docs/data-structure/range-add-range-min.md
*/
#line 5 "verify/data-structure/LC_range_add_range_min.test.cpp"
int main () {
int n , q ;
in ( n , q );
vector < long long > a ( n );
in ( a );
RangeAddRangeMin < long long > seg ( a );
rep ( _ , 0 , q ) {
int t , l , r ;
in ( t , l , r );
if ( t == 0 ) {
long long x ;
in ( x );
seg . add ( l , r , x );
} else {
out ( seg . min ( l , r ));
}
}
}