1
  2
  3
  4
  5
  6
  7
  8
  9
 10
 11
 12
 13
 14
 15
 16
 17
 18
 19
 20
 21
 22
 23
 24
 25
 26
 27
 28
 29
 30
 31
 32
 33
 34
 35
 36
 37
 38
 39
 40
 41
 42
 43
 44
 45
 46
 47
 48
 49
 50
 51
 52
 53
 54
 55
 56
 57
 58
 59
 60
 61
 62
 63
 64
 65
 66
 67
 68
 69
 70
 71
 72
 73
 74
 75
 76
 77
 78
 79
 80
 81
 82
 83
 84
 85
 86
 87
 88
 89
 90
 91
 92
 93
 94
 95
 96
 97
 98
 99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
#include <iostream>
#include <algorithm>
#include <vector>
#include <string>
#include <map>
#include <set>
#include <queue>
#include <stack>
#include <cmath>
#include <cassert>
#include <cstring>
#include <bitset>
#include <sstream>
//#include <bits/stdc++.h>
#include <ext/numeric>
#include <unordered_set>
#include <unordered_map>
using namespace std ;
using namespace __gnu_cxx ;
typedef long long LL ;
typedef pair<int,int> PII ;
typedef vector<int> VI ;
const int INF = 1e9+100 ;
const LL INFLL = (LL)INF*INF ;
#define REP(i,n) for(int i=0;i<(n);++i)
#define ALL(c) c.begin(),c.end()
#define FOREACH(i,c) for(auto i=(c).begin();i!=(c).end();++i)
#define CLEAR(t) memset(t,0,sizeof(t))
#define PB push_back
#define MP make_pair
#define FI first
#define SE second

template<class T> void maxi(T &a, const T &b) { a = max(a,b) ; }
template<class T> void mini(T &a, const T &b) { a = min(a,b) ; }

template<class T1,class T2> ostream& operator<<(ostream &s, const pair<T1,T2> &x) { return s << "(" << x.FI << "," << x.SE << ")" ;}
template<class T>           ostream& operator<<(ostream &s, const vector<T>   &t) { FOREACH(it, t) s << *it << " " ; return s ; }
template<class T>           ostream& operator<<(ostream &s, const set<T>      &t) { FOREACH(it, t) s << *it << " " ; return s ; }
template<class T1,class T2> ostream& operator<<(ostream &s, const map<T1, T2> &t) { FOREACH(it, t) s << *it << " " ; return s ; }

template<class T1, class T2> T1 conv(const T2 &x) {
	stringstream sss ; sss << x ; T1 y ; sss >> y ; return y ;
}

template<class T> void _debug(bool printName, const char* s, const T &x) { if(printName) cerr << s << "=" ; cerr << x << endl ; }
void _debug(bool, const char* s, const char*) {
	for(;*s;s++) if(*s!='"') { cerr << *s ; } cerr << endl ;
}
template<class T, class... R> void _debug(bool printName, const char* s, const T &x, R... y) {
	bool o=0, str=(*s=='"') ;
	for(; o || *s!=',' ; s++) if(*s=='"') o=!o ; else if(printName||str) cerr<<*s ;
	for(s++;*s && *s==' '; s++) ;
	if(!str) { if(printName) cerr << "=" ; cerr << x ; if(*s!='"' && printName) cerr << "," ; } cerr << " " ;
	_debug(printName, s, y...) ;
}

template<class T>             void _coord(const T &x)         { cerr << "[" << x << "]" ;             }
template<class T, class... R> void _coord(const T &x, R... y) { cerr << "[" << x << "]" ; _coord(y...) ; }

template<class T, class I>             void _val(T &t, const I &i)         { cerr << t[i] ; }
template<class T, class I, class... J> void _val(T &t, const I &i, J... j) { _val(t[i], j...) ; }

#ifndef LOCAL
	#define CERR(...)
	#define DEBUG(...)
	#define DARRAY(...)
#else
	#define CERR(...)     if(DFLAG) _debug(0, #__VA_ARGS__, __VA_ARGS__)
	#define DEBUG(...)    if(DFLAG) _debug(1, #__VA_ARGS__, __VA_ARGS__)	
	#define DARRAY(t,...) if(DFLAG) { cerr << #t ; _coord(__VA_ARGS__) ; cerr << " = " ; _val(t,__VA_ARGS__) ; cerr << endl ; }
	#define DFLAG 0
#endif

////////////////////////////////////////////////////////////////////////////////

LL triangle(LL n) {
	assert(n>=0) ;
	return n*(n+1)/2 ;
}

// Klasa reprezentujaca funkcje liniowa postaci a*x+b
struct FunLin {
	LL a, b ;
	FunLin(LL aa=0, LL bb=0) : a(aa), b(bb) {}
	
	LL eval(LL x) {
		return a*x+b ;
	}
	FunLin operator+(const FunLin &F) {
		return FunLin(a+F.a, b+F.b) ;
	}
	FunLin operator-(const FunLin &F) {
		return FunLin(a-F.a, b-F.b) ;
	}
} ;
ostream & operator<<(ostream &sss, const FunLin &X) {
	return sss << X.a << "x" << (X.b>=0 ? "+" : "") << X.b ;
}

// Klasa reprezentujaca ulamki (nieujemne)
struct Rational {
	LL a, b ;
	Rational(LL aa=0, LL bb=1) : a(aa), b(bb) {}
	
	bool operator<(const Rational &X) const {
		return a*X.b < X.a*b ;
	}
	bool operator==(const Rational &X) const {
		return a*X.b == X.a*b ;
	}
} ;
ostream & operator<<(ostream &sss, const Rational &X) {
	return sss << X.a << "/" << X.b ;
}

////////////////////////////////////////

// klasa reprezentujaca jedno z dwoch zdarzen zdarzenie:
// - zlaczenie dwoch przedzialow
// - pytanie o aktualna wartosc
struct Event {
	Rational time ;
	bool isJoin ;
	int data ;	// indentyfikator przedzialu albo indeks zapytania

	Event(Rational tt, bool ii, int dd) : time(tt), isJoin(ii), data(dd) {} ;
	
	bool operator<(const Event &e) const {
		if(!(time==e.time)) return e.time < time ;
		else if(isJoin!=e.isJoin) return isJoin < e.isJoin ;
		else return data<e.data ; // whatever
	}
} ;

////////////////////////////////////////

const int MAXN=2e5+100 ;
LL t[MAXN], prefT[MAXN] ;
int d[MAXN] ;

// klasa reprezentujaca scalane przedzialy
struct Interval {	
	int j, i ;
	Interval(int jj) : Interval(jj, jj) {}
	Interval(int jj, int ii) : j(jj), i(ii) {}
	
	FunLin getFun() const {
		return FunLin(triangle(i-j), (i-j)*t[j]-(prefT[i]-prefT[j])) ;
	}
	bool operator<(const Interval &interv) const {
		return i<interv.i ;
	}
} ;
Interval join(const Interval &A, const Interval &B) {
	assert(A.i+1 == B.j) ;
	return Interval(A.j, B.i) ;
}
ostream & operator<<(ostream &sss, const Interval &X) {
	return sss << "[" << X.j << "," << X.i << "]" ;
}

LL ret[MAXN] ;

int main()
{
	ios_base::sync_with_stdio(0) ;
	int n, m, i ;
	cin >> n >> m ;
	for(i=1 ; i<=n ; i++) {
		cin >> t[i] ;
		prefT[i] = prefT[i-1]+t[i] ;
	}
	
	set<Interval> intervals = { Interval(0) } ;
	priority_queue<Event> Q ;
	for(i=1 ; i<=n ; i++) {
		intervals.insert(Interval(i)) ;
		Q.push(Event(t[i]-t[i-1], true, i)) ;
	}
	
	for(i=1 ; i<=m ; i++) {
		cin >> d[i] ;
		Q.push(Event(d[i], false, i)) ;
	}
	
	FunLin F ;
	while(!Q.empty()) {
		Event e = Q.top() ; Q.pop() ;
		if(!e.isJoin) {
			ret[e.data] = F.eval(d[e.data]) ;
		}
		else {
			auto it = intervals.lower_bound(Interval(e.data)) ;
			assert(it!=intervals.end()) ;
			if(it->j != e.data) continue ;
			
			assert(it!=intervals.begin()) ;
			auto prev=it ; prev-- ;
			Interval newInterv = join(*prev, *it) ;
			F = F - (prev->getFun() + it->getFun()) + newInterv.getFun() ;
			intervals.erase(prev) ;
			intervals.erase(it) ;
			intervals.insert(newInterv) ;
			
			it = intervals.lower_bound(Interval(e.data)) ;
			auto next = it ; next++ ;
			if(next == intervals.end()) continue ;
			
			Q.push(Event(Rational(t[next->j]-t[it->j], (next->j)-(it->j)), true, next->j)) ;
		}
	}
	
	for(int i=1 ; i<=m ; i++)
		cout << ret[i] << endl ;
}