// includes
#include <bits/stdc++.h>

// macros
#define ll long long int
#define pb emplace_back
#define mk make_pair
#define pq priority_queue
#define FOR(i, a, b) for(int i=(a);i<(b);++i)
#define rep(i, n) FOR(i, 0, n)
#define rrep(i, n) for(int i=((int)(n)-1);i>=0;i--)
#define irep(itr, st) for(auto itr = (st).begin(); itr != (st).end(); ++itr)
#define irrep(itr, st) for(auto itr = (st).rbegin(); itr != (st).rend(); ++itr)
#define vrep(v, i) for(int i = 0; i < (v).size(); i++)
#define all(x) (x).begin(),(x).end()
#define sz(x) ((int)(x).size())
#define UNIQUE(v) v.erase(unique(v.begin(), v.end()), v.end())
#define FI first
#define SE second
#define dump(a, n) for(int i = 0; i < n; i++)cout << a[i] << "\n "[i + 1 != n];
#define dump2(a, n, m) for(int i = 0; i < n; i++)for(int j = 0; j < m; j++)cout << a[i][j] << "\n "[j + 1 != m];
#define bit(n) (1LL<<(n))
#define INT(n) int n; cin >> n;
#define LL(n) ll n; cin >> n;
#define DOUBLE(n) double n; cin >> n;
using namespace std;

//  types
typedef pair<int, int> P;
typedef pair<ll, int> Pl;
typedef pair<ll, ll> Pll;
typedef pair<double, double> Pd;
typedef complex<double> cd;
 
// constants
const int inf = 1e9;
const ll linf = 1LL << 50;
const double EPS = 1e-10;
const int mod = 1e9 + 7;
const int dx[4] = {-1, 0, 1, 0};
const int dy[4] = {0, -1, 0, 1};

// solve
template <class T>bool chmax(T &a, const T &b){if(a < b){a = b; return 1;} return 0;}
template <class T>bool chmin(T &a, const T &b){if(a > b){a = b; return 1;} return 0;}
template <typename T> istream &operator>>(istream &is, vector<T> &vec){for(auto &v: vec)is >> v; return is;}
template <typename T> ostream &operator<<(ostream &os, const vector<T>& vec){for(int i = 0; i < vec.size(); i++){ os << vec[i]; if(i + 1 != vec.size())os << " ";} return os;}
template <typename T> ostream &operator<<(ostream &os, const set<T>& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;}
template <typename T> ostream &operator<<(ostream &os, const unordered_set<T>& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;}
template <typename T> ostream &operator<<(ostream &os, const multiset<T>& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;}
template <typename T> ostream &operator<<(ostream &os, const unordered_multiset<T>& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;}
template <typename T1, typename T2> ostream &operator<<(ostream &os, const pair<T1, T2> &p){os << p.first << " " << p.second; return os;}
template <typename T1, typename T2> ostream &operator<<(ostream &os, const map<T1, T2> &mp){for(auto itr = mp.begin(); itr != mp.end(); ++itr){ os << itr->first << ":" << itr->second; auto titr = itr; if(++titr != mp.end())os << " "; } return os;}
template <typename T1, typename T2> ostream &operator<<(ostream &os, const unordered_map<T1, T2> &mp){for(auto itr = mp.begin(); itr != mp.end(); ++itr){ os << itr->first << ":" << itr->second; auto titr = itr; if(++titr != mp.end())os << " "; } return os;}

template<typename T>
struct BIT_{
  int n;
  vector<T> bit;
  BIT_(){}
  BIT_(int n_){
    n = n_;
    bit = vector<T>(n+1, 0);
  }
  void add(int a, T w){
    for(int x = a; x < n; x |= (x + 1)){
      bit[x] += w;
    }
  }
  T sum(int a){
    T res = 0;
    for(int x = a; x >= 0; x = (x & (x + 1)) - 1){
      res += bit[x];
    }
    return res;
  }
  int lower_bound(T w){
    int x = 0;
    int m = 1;
    while(m <= n)m *= 2;
    for(int k = m; k > 0; k /= 2){
      if(x + k <= n && bit[x+k-1] < w){
        w -= bit[x+k-1];
        x += k;
      }
    }
    return x;
  }
};

typedef struct BIT_<int> BITI;
typedef struct BIT_<long long> BITL;

template <typename T>
struct RURQ_BIT{
  int n;
  BIT_<T> btp, btq;
  RURQ_BIT(){}
  RURQ_BIT(int n): n(n){
    btp = BIT_<T>(n);
    btq = BIT_<T>(n);
  }
  void add(int a, int b, T w){
    btp.add(a, - w * a);
    btp.add(b, w * b);
    btq.add(a, w);
    btq.add(b, - w);
  }
  T sum(int i){
    return btp.sum(i) + btq.sum(i) * (i + 1);
  }
};

int main(int argc, char const* argv[])
{
  ios_base::sync_with_stdio(false);
  cin.tie(0);
  INT(n); INT(q);
  RURQ_BIT<ll> bt(n);
  rep(i, q){
    INT(c);
    if(c == 0){
      INT(s); INT(t); LL(x);
      s--, t--;
      bt.add(s, t + 1, x);
    }else{
      INT(s); INT(t);
      s--, t--;
      cout << bt.sum(t) - bt.sum(s-1) << endl;
    }
  }
  return 0;
}



Measured memory_bytes: 4376