#include <bits/stdc++.h>
using namespace std;
#define int long long
using ll=long long;
using vi=vector<int>;
using pii=pair<int,int>;
#define ALL(c) begin(c),end(c)
#define RALL(c) rbegin(c),rend(c)
#define ITR(i,b,e) for(auto i=(b);i!=(e);++i)
#define FORE(x,c) for(auto &x:c)
#define REPF(i,a,n) for(int i=a,i##len=(int)(n);i<i##len;++i)
#define REP(i,n) REPF(i,0,n)
#define REPR(i,n) for(int i=(int)(n);i>=0;--i)
#define SZ(c) ((int)c.size())
#define CONTAIN(c,x) (c.find(x)!=end(c))
#define OUTOFRANGE(y,x,h,w) (y<0||x<0||y>=h||x>=w)
#define dump(...)
const int DX[9]={0,1,0,-1,1,1,-1,-1,0},DY[9]={-1,0,1,0,-1,1,1,-1,0};
#define INF (1001001001)
#define INFLL (1001001001001001001ll)
template<class T> ostream& operator << (ostream &os,const vector<T> &v) {
    ITR(i,begin(v),end(v)) os<<*i<<(i==end(v)-1?"":"\n"); return os; }
template<class T> istream& operator >> (istream &is,vector<T> &v) {
    ITR(i,begin(v),end(v)) is>>*i; return is; }
template<class T> istream& operator >> (istream &is, pair<T,T> &p) {
    is>>p.first>>p.second; return is; }
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(b<a) {a=b;return 1;} return 0;}
template <class T> using heap = priority_queue<T,vector<T>,greater<T>>;
struct before_main_function {
    before_main_function() {
        #ifdef int
            #undef INF
            #define INF INFLL
            #define stoi stoll
        #endif
        cin.tie(0);ios::sync_with_stdio(false);
        cout<<setprecision(15)<<fixed;
        #define endl "\n"
    }
} before_main_function;
//------------------8<------------------------------------8<--------------------

template <class T>
struct SegmentTree {
    using func = function<T(T, T)>;
    int size;
    vector<T> data;
    vector<T> lazy;
    vector<T> width;
    function<T(T,T,int)> updater;
    func merger, propagater;
    T ident_prop, ident_query;

    SegmentTree(int n, function<T(T,T,int)> update_func, func merge_func, func propagate_func, T identity_propagate, T identity_query)
     : updater(update_func), merger(merge_func), propagater(propagate_func), ident_prop(identity_propagate), ident_query(identity_query) {
        size = 1;
        while (size < n) size <<= 1;
        data.resize(size*2, ident_query);
        lazy.resize(size*2, ident_prop);
        width.resize(size*2, 1);
        for (int i = size-2; i >= 0; i--) {
            width[i] = width[i*2+1] + width[i*2+2];
        }
    }
    void lazy_propagate(int p) {
        data[p] = updater(data[p], lazy[p], width[p]);
        if (p < size-1) {
            lazy[p*2+1] = propagater(lazy[p*2+1], lazy[p]);
            lazy[p*2+2] = propagater(lazy[p*2+2], lazy[p]);
        }
        lazy[p] = ident_prop;
    }
    void update(int wishL, int wishR, int x, int watchL = 0, int watchR = -1, int k = 0) {
        if (watchR == -1) watchR = size;
        if (wishR <= watchL || watchR <= wishL) {
            lazy_propagate(k);
            return;
        }
        if (wishL <= watchL && watchR <= wishR) {
            lazy[k] = propagater(lazy[k], x);
            lazy_propagate(k);
            return;
        }

        int mid = (watchL+watchR)/2;
        lazy_propagate(k);
        update(wishL, wishR, x, watchL, mid, k*2+1);
        update(wishL, wishR, x, mid, watchR, k*2+2);
        data[k] = merger(data[k*2+1], data[k*2+2]);
    }
    T query(int wishL, int wishR, int watchL = 0, int watchR = -1, int k = 0) {
        if (watchR == -1) watchR = size;
        if (watchR <= wishL || wishR <= watchL) return ident_query;
        if (wishL <= watchL && watchR <= wishR) {
            lazy_propagate(k);
            return data[k];
        }
        lazy_propagate(k);
        T ld = query(wishL, wishR, watchL, (watchL+watchR)/2, k*2+1);
        T rd = query(wishL, wishR, (watchL+watchR)/2, watchR, k*2+2);
        return merger(ld, rd);
    }
    T at(int i) {
        return query(i, i+1);
    }
};
signed main() {
    auto update=[](int a, int b, int w) {return a + b * w;};
    auto merge=[](int a, int b) {return a + b;};
    auto propagate=[](int a, int b) {return a + b;};

    int n,q;
    cin>>n>>q;
    SegmentTree<int> seg(n, update, merge, propagate, 0LL, 0LL);
    while(q--) {
        int com, s, t;
        cin>>com>>s>>t;
        if(com == 0) {
            int x;
            cin>>x;
            seg.update(s-1, t, x);
        } else {
            cout<<seg.query(s-1, t)<<endl;
        }
    }
    return 0;
}

Measured memory_bytes: 8928