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#include <cstdio>
#include <fstream>
#include <math.h>
#include <algorithm>
using namespace std;
#define llu long long unsigned
#define ll long long
#define pb push_back
#define mp make_pair
//string problemName = "tricouri";
//string inFile = problemName+".in";
//string outFile = problemName+".out";
//ifstream fin(inFile.c_str());
//ofstream fout(outFile.c_str());
int h[25][25][25];
int used[25],k,p,mx;
int usin[25];
void bkt(int step){
if(step == k){
int i;
int ret = 0;
for(i = 1;i < k;i++){
if(used[usin[i]]+1 <= h[p][usin[i]][0]){
ret += h[p][usin[i]][++used[usin[i]]];
}else{
for(i = 1;i <= k;i++){
used[usin[i]] = 0;
}
return;
}
}
usin[k] = p - ret%p;
usin[k] %= p;
if(used[usin[k]]+1 > h[p][usin[k]][0]){
for(i = 1;i <= k;i++){
used[usin[i]] = 0;
}
return;
}
ret += h[p][usin[k]][++used[usin[k]]];
for(i = 1;i <= k;i++){
used[usin[i]] = 0;
}
if(ret%p == 0 && ret){
mx = max(mx, ret);
}
}else{
int i;
for(i = 0;i < p;i++){
usin[step] = i;
bkt(step+1);
}
}
}
int v[300005];
int main(){
int n,q,i,j,x,l;
freopen("tricouri.in", "r", stdin);
freopen("tricouri.out", "w", stdout);
scanf("%d %d",&n,&q);
for(i = 1;i <= n;i++){
scanf("%d",&v[i]);
}
sort(v+1, v+n+1);
for(j = 2;j <= 20;j++){
int nr = j;
for(i = n;i >= 1;i--){
x = v[i];
if(h[j][x%j][0] < 5){
h[j][x%j][++h[j][x%j][0]] = x;
if(h[j][x%j][0] == 5){
nr--;
}
}
if(nr == 0){
break;
}
}
}
for(i = 1;i <= q;i++){
scanf("%d %d",&k, &p);
mx = -1;
bkt(1);
printf("%d\n",mx);
}
return 0;
}