// Original C++ solution (slower):
#include<iostream>

#include<vector>

#include<assert.h>



using namespace std;

#define int long long

#define repeat(i, n) for(int i=0;i<(n);i++)



struct SegmentTree{



   static const int N=1<<17;

   static const int Z=0;

   vector<int> seg, lazy;

   SegmentTree(){

      seg.resize(2*N-1, 0);

      lazy.resize(2*N-1, 0);

   }



   void update(int i, int l, int r){

      if(lazy[i]){

         seg[i]+=lazy[i]*(r-l);

         if(r-l>1){

            lazy[2*i+1]+=lazy[i];

            lazy[2*i+2]+=lazy[i];

         }

         lazy[i]=0;

      }

   }



   void add(int a, int b, int x, int i=0, int l=0, int r=N){

      update(i, l, r);

      if(b<=l or r<=a){

         return;

      }else if(a<=l and r<=b){

         lazy[i]+=x;

         update(i, l, r);

      }else{

         //update(i, l, r);

         int m=(r+l)/2;

         add(a, b, x, 2*i+1, l, m);

         add(a, b, x, 2*i+2, m, r);

         seg[i]=seg[2*i+1]+seg[2*i+2];

      }

   }



   int sum(int a, int b, int i=0, int l=0, int r=N){

      update(i, l, r);

      if(b<=l or r<=a){

         return Z;

      }else if(a<=l and r<=b){

         return seg[i];

      }else{

         //update(i, l, r);

         int m=(r+l)/2;

         int vl=sum(a, b, 2*i+1, l, m);

         int vr=sum(a, b, 2*i+2, m, r);

         return vl+vr;

      }

   }



};



signed main(){



   int N, Q;

   cin>> N>> Q;

   SegmentTree st;

   while(Q--){

      int q; cin>> q;

      if(q==0){

         int s, t, x;

         cin>> s>> t>> x;

         st.add(s-1, t, x);

      }else{

         int s, t;

         cin>> s>> t;

         cout<< st.sum(s-1, t)<< endl;

      }

   }



   return 0;

}

// Optimized solution to the same problem (faster):
#include <algorithm>

#include <cassert>

#include <functional>

#include <iostream>

#include <queue>

#include <tuple>

#include <vector>



#define rep(i, n) for (int i = 0; i < (int)(n); i++)

using namespace std;



template <typename M, typename L>

struct SegmentTree {

  int n;

  vector<M> dat;

  vector<L> laz;

  M em;

  L el;

  function<M(M, M)> multiply;

  function<L(L, L)> composite;

  function<M(L, M)> apply;

  SegmentTree(int n0, M em, L el, function<M(M, M)> mul, function<L(L, L)> com,

              function<M(L, M)> app)

      : em(em), el(el), multiply(mul), composite(com), apply(app) {

    n = 1;

    while (n < n0) {

      n *= 2;

    }

    dat.resize(n * 2 - 1, em);

    laz.resize(n * 2 - 1, el);

  }

  void set(int i, M a) {

    i += n - 1;

    dat[i] = a;

    while (i > 0) {

      i = (i - 1) / 2;

      dat[i] = multiply(dat[i * 2 + 1], dat[i * 2 + 2]);

    }

  }

  void _update(int i, L f) {

    dat[i] = apply(f, dat[i]);

    laz[i] = composite(f, laz[i]);

  }

  void update(int ql, int qr, L f) { update(ql, qr, f, 0, 0, n); }

  void update(int ql, int qr, L f, int i, int il, int ir) {

    if (qr <= il or ir <= ql) return;

    if (ql <= il and ir <= qr) {

      _update(i, f);

      return;

    }

    auto m = (il + ir) / 2, lch = i * 2 + 1, rch = i * 2 + 2;

    _update(lch, laz[i]);

    _update(rch, laz[i]);

    laz[i] = el;

    update(ql, qr, f, lch, il, m);

    update(ql, qr, f, rch, m, ir);

    dat[i] = multiply(dat[lch], dat[rch]);

  }

  M query(int ql, int qr) { return query(ql, qr, 0, 0, n); }

  M query(int ql, int qr, int i, int il, int ir) {

    if (ql <= il and ir <= qr) return dat[i];

    if (qr <= il or ir <= ql) return em;

    auto m = (il + ir) / 2;

    // f(l + r) = f(l) + f(r)

    return apply(laz[i], multiply(query(ql, qr, i * 2 + 1, il, m),

                                  query(ql, qr, i * 2 + 2, m, ir)));

  }

  void tour() {

    cout << endl << "BEGIN";

    queue<pair<int, bool>> q;

    q.emplace(0, true);

    while (q.size() > 0) {

      int i;

      bool f;

      tie(i, f) = q.front();

      q.pop();

      if (f) cout << endl;

      cout << dat[i] << " ";

      if (i * 2 + 1 < (int)dat.size()) {

        q.emplace(i * 2 + 1, f);

        q.emplace(i * 2 + 2, false);

      }

    }

    cout << endl << "END" << endl;

  }

};



struct M {

  int64_t x, l;

  M(int64_t x, int64_t l) : x(x), l(l) {}

};



ostream &operator<<(ostream &os, M &m) {

  os << m.x;

  return os;

}



int main() {

  // DSL_2_G



  int n, q;

  cin >> n >> q;

  using L = int64_t;

  const L el = 0;

  SegmentTree<M, L> seg(

      n, M(0, 0), el, [&](M a, M b) -> M { return M(a.x + b.x, a.l + b.l); },

      [&](L f, L g) -> L { return f + g; },

      [&](L f, M a) -> M { return f == el ? a : M(a.x + f * a.l, a.l); });

  rep(i, n) { seg.set(i, M(0, 1)); }

  while (q--) {

    int t;

    cin >> t;

    if (t == 0) {

      int s, t, x;

      cin >> s >> t >> x;

      seg.update(s - 1, t, x); // range add

    } else {

      int s, t;

      cin >> s >> t;

      cout << seg.query(s - 1, t).x << endl;

    }

    // seg.tour();

  }



  return 0;

}






// Fastest known solution for this problem: