1294A_Collecting_Coins.cpp

// Vidur Goel

//Codeforcees Handle: Vidurcodviz

#include<iostream>
#include<string>
#include<cmath>
#include<climits>
#include<algorithm>
#include<cstddef>
#include<cstdio>
#include<cstdlib>
#include<vector>
#include<stack>
#include<chrono>
#include<random>
#include<cassert>
#include<array>
#include<bitset>
#include<complex>
#include<cstring>
#include<functional>
#include<iomanip>
#include<map>
#include<numeric>
#include<queue>
#include<set>
#include<utility>
#include<string_view>
#include<deque>
#include<iterator>

void solve_array();
void solve_single();
void solve_mul();

typedef long long int ll;
typedef unsigned long long int ull;
typedef long double lld;

#define make_it_fast() ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL);
#define all(x) (x).begin(), (x).end()
#define lb lower_bound
#define ub upper_bound
#define pb push_back
#define MOD 1000000007
#define MOD1 998244353
#define sor(x) sort(all(x))
#define vec vector<ll>
#define nn endl

using namespace std;
using namespace chrono;
ll seiv[1000001]={0};

string yup="YES";
string nope="NO";

ll minar(ll * arr,ll n){return *min_element(arr,arr+n);}
ll maxar(ll * arr,ll n){return *min_element(arr,arr+n);}

ll fibonacci(ll n){ll a=0;ll b=1;ll c;if(n==0 || n==1){return n;}for(ll i=2;i<n+1;i++){c=a+b;a=b;b=c;}return c;}

void copy_array(ll * &arr,ll * &brr,ll n){copy(arr,arr+n,brr);}
void read_array(ll * &arr,ll n){for(ll i=0;i<n;i++){cin>>arr[i];}return;}
void print_array(ll * &arr,ll n){for(ll i=0;i<n;i++){cout<<i<<" "<<arr[i]<<endl;}return;}
//void print_array(ll arr[],ll n){for(ll i=0;i<n;i++){cout<<i<<" "<<arr[i]<<endl;}return;}
void print_array(vec &arr,ll n){for(ll i=0;i<n;i++){cout<<i<<" "<<arr[i]<<endl;}return;}

bool prime(ll n){for(int i=2;i*i<=n;i++){if(n%i==0){return false;}}return true;}
void seive(){seiv[0]=0;seiv[1]=1;for(ll i=2;i*i<1000001;i++){if(seiv[i]==0){seiv[i]=i;for(ll j=i*i;j<1000001;j=j+i){if(seiv[j]==0){seiv[j]=i;}}}}}

ll gcd(ll a,ll b){if(b==0){return a;}if(a>=b){return gcd(b,a%b);}else{return gcd(b,a);}}
ll expo(ll num,ll coef){ll res=1;while(coef!=0){if(coef%2==0){coef=coef/2;num=num*num;}else{coef=coef-1;res=res*num;}}return res;}
ll expo_mod(ll a,ll n,ll m){ll res=1;while(n!=0){if(n%2==0){a=a*a;a=a%m;n=n/2;}else{res=res*a;res=res%m;n--;}}return res;}

ll add_mod(ll a, ll b, ll m) {a = a % m; b = b % m; return (((a + b) % m) + m) % m;}
ll mul_mod(ll a, ll b, ll m) {a = a % m; b = b % m; return (((a * b) % m) + m) % m;}
ll sub_mod(ll a, ll b, ll m) {a = a % m; b = b % m; return (((a - b) % m) + m) % m;}

// abs() is used for the absolute value of a number
// sort() inbuilt function in cpp
// swap() function in c++ used to swap value of two elements of the same data type.
// toupper() This function is used for converting a lowercase character to uppercase.
// tolower() This function is used for converting an uppercase character to lowercase.
// ceil() and floor() function
// vector<ll> vect(arr, arr+n) used to make a vector containg same elements as that of the array arr
// sort(vect.begin(),vect.end(), greater<int>());
// sort(arr,arr+n, greater<ll>()) sort in the decreasing order
// reverse(vect.begin(), vect.end());
// reverse(arr,arr+n);
// accumulate(first_iterator, last_iterator, initial value of sum) – Does the summation of vector elements eg: accumulate(arr,arr+n,0) will give summation of the array
// count(first_iterator, last_iterator,x) – To count the occurrences of x in vector.
// find(first_iterator, last_iterator, x) – Returns an iterator to the first occurrence of x in vector and points to last address of vector ((name_of_vector).end()) if element is not present in vector
// find(vect.begin(), vect.end(),5) != vect.end()?
//                      cout << "\nElement found":
//                  cout << "\nElement not found";
//maximium value long long can take 9, 223, 372, 036, 854, 775, 807
// 2^63-1
// i.e, length of 19 only
//maximium value long long can take 18, 446, 744, 073, 709, 551, 615
// 2^64-1
// i.e, length of 20 only

// reverse(s.begin(), s.end()); to reverse the string.(in built function)
// set<int, greater<int> > s1;
// s1.insert(10);
// set<int> a;
// by default the sets are sorted in the ascending order


void Merge_two_arr(vec &arr,vec &brr,ll i,ll m,ll j){ll size1=m-i+1;ll size2=j-m;ll a[size1];ll a1[size1];ll b[size2];ll b1[size2];for(ll k=0;k<size1;k++){a[k]=arr[i+k];a1[k]=brr[i+k];}for(ll k=0;k<size2;k++){b[k]=arr[m+1+k];b1[k]=brr[m+1+k];}ll k=i;ll st=0;ll end=0;while(st<size1 && end<size2){if(a[st]<=b[end]){arr[k]=a[st];brr[k]=a1[st];st++;k++;}else{arr[k]=b[end];brr[k]=b1[end];end++;k++;}}while(st<size1){arr[k]=a[st];brr[k]=a1[st];st++;k++;}while(end<size2){arr[k]=b[end];brr[k]=b1[end];end++;k++;}}
void mergeSort_two_arr(vec &arr,vec &brr,ll i,ll j){if(i<j){ll m=(i+j)/2;mergeSort_two_arr(arr,brr,i,m);mergeSort_two_arr(arr,brr,m+1,j);Merge_two_arr(arr,brr,i,m,j);}}

void Merge_two_arr(ll * &arr,ll * &brr,ll i,ll m,ll j){ll size1=m-i+1;ll size2=j-m;ll a[size1];ll a1[size1];ll b[size2];ll b1[size2];for(ll k=0;k<size1;k++){a[k]=arr[i+k];a1[k]=brr[i+k];}for(ll k=0;k<size2;k++){b[k]=arr[m+1+k];b1[k]=brr[m+1+k];}ll k=i;ll st=0;ll end=0;while(st<size1 && end<size2){if(a[st]<=b[end]){arr[k]=a[st];brr[k]=a1[st];st++;k++;}else{arr[k]=b[end];brr[k]=b1[end];end++;k++;}}while(st<size1){arr[k]=a[st];brr[k]=a1[st];st++;k++;}while(end<size2){arr[k]=b[end];brr[k]=b1[end];end++;k++;}}
void mergeSort_two_arr(ll * &arr,ll * &brr,ll i,ll j){if(i<j){ll m=(i+j)/2;mergeSort_two_arr(arr,brr,i,m);mergeSort_two_arr(arr,brr,m+1,j);Merge_two_arr(arr,brr,i,m,j);}}

void Merge_two_arr1(ll arr[],ll brr[],ll i,ll m,ll j){ll size1=m-i+1;ll size2=j-m;ll a[size1];ll a1[size1];ll b[size2];ll b1[size2];for(ll k=0;k<size1;k++){a[k]=arr[i+k];a1[k]=brr[i+k];}for(ll k=0;k<size2;k++){b[k]=arr[m+1+k];b1[k]=brr[m+1+k];}ll k=i;ll st=0;ll end=0;while(st<size1 && end<size2){if(a[st]<=b[end]){arr[k]=a[st];brr[k]=a1[st];st++;k++;}else{arr[k]=b[end];brr[k]=b1[end];end++;k++;}}while(st<size1){arr[k]=a[st];brr[k]=a1[st];st++;k++;}while(end<size2){arr[k]=b[end];brr[k]=b1[end];end++;k++;}}
void mergeSort_two_arr1(ll arr[],ll brr[],ll i,ll j){if(i<j){ll m=(i+j)/2;mergeSort_two_arr1(arr,brr,i,m);mergeSort_two_arr1(arr,brr,m+1,j);Merge_two_arr1(arr,brr,i,m,j);}}

void solve_mul(){
    ll test;
    cin>>test;
    for(ll i=0;i<test;i++){
        solve_single();
    }
}

void solve_single(){
    ll a,b,c,n;
    cin>>a>>b>>c>>n;
    ll m=(n+a+b+c);
    if(m%3==0){
        m=m/3;
        if(m>=a && m>=b && m>=c){
            cout<<yup<<nn;
        }
        else{
            cout<<nope<<nn;
            return;
        }
    }
    else{
        cout<<nope<<nn;
        return;
    }
}

void solve_array(){
    ll n;
    cin>>n;
    ll * arr=new ll[n];
    read_array(arr,n);
}

int main(){
    make_it_fast();
    //seive();
    solve_mul();
    //solve_array();
    //solve_single();
    return 0;
}