#include<bits/stdc++.h>

using namespace std;

int maxN = 1e5;

int n;

struct SegmentTree {
  vector<long long> t = vector<long long> (maxN * 4);
  vector<long long> lazy = vector<long long> (maxN * 4);
  //made changes to the push function
  void push(int x,int l1,int r1,int l2,int r2){
    lazy[2 * x] += lazy[x];
    lazy[2 * x + 1] += lazy[x];
    t[2*x]+=lazy[x]*(r1-l1+1);
    t[2*x+1]+=lazy[x]*(r2-l2+1);
    lazy[x] = 0;
  }
  void upd(int x, int lx, int rx, int l, int r, long long val) {
    if(lx >= l && rx <= r) {
      lazy[x]+=val;
      t[x]+=val*(rx-lx+1);
      return;
    }
    if(lx > r || rx < l) {return;}
    int m = (lx + rx) / 2;
    push(x,lx,m,m+1,rx);
    upd(2 * x, lx, m, l, r, val);
    upd(2 * x + 1, m + 1, rx, l, r, val);
    t[x]=t[2*x]+t[2*x+1];//also added this
  }
  void upd(int l, int r, long long val) {
    upd(1, 0, n - 1, l, r, val);
  }
  long long query(int x, int lx, int rx, int l, int r) {
    if(lx >= l && rx <= r) {
      return t[x];
    }
    if(lx > r || rx < l) {return 0;}
    int m = (lx + rx) / 2;
    push(x,lx,m,m+1,rx);
    return query(2 * x, lx, m, l, r) + query(2 * x + 1, m + 1, rx, l, r);
  }
  long long query(int l, int r) {
    return query(1, 0, n - 1, l, r);
  }
};

int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  int m;
  cin >> n >> m;
  SegmentTree st;
  for (int i = 0; i<m; i++) {
    int type;
    cin >> type;
    if(type == 1) {
      long long l,r,v;
      cin >> l >> r >> v;
      r--;
      st.upd(l, r, v);
      continue;
    }
    int l, r;
    cin >> l >> r;
    r--;
    cout << st.query(l, r) << '\n';
  }
  return 0;
}