#include <bits/stdc++.h>

using namespace std;

const int maxn = 1e4 + 7, NEUTRAL = 0;
int t[4 * maxn], c[4 * maxn];

void push(int v) {
    c[2 * v + 1] += c[v];
    c[2 * v + 2] += c[v];
    c[v] = 0;
    return;
}

void update(int v, int l, int m, int r) {
    t[v] = t[2 * v + 1] + c[2 * v + 1] * (m - l) +
           t[2 * v + 2] + c[2 * v + 2] * (r - m);
    return;
}

void change(int v, int l, int r, int askl, int askr, int val) {
    if (askr <= l || r <= askl) {
        return;
    }
    if (askl <= l && r <= askr) {
        c[v] += val;
        return;
    }
    int m = (r + l) / 2;
    change(2 * v + 1, l, m, askl, askr, val);
    change(2 * v + 2, m, r, askl, askr, val);
    update(v, l, m, r);
    return;
}

int ask(int v, int l, int r, int askl, int askr) {
    if (askr <= l || r <= askl) {
        return NEUTRAL;
    }
    if (askl <= l && r <= askr) {
        return t[v] + c[v] * (r - l);
    }
    push(v);
    int m = (r + l) / 2;
    update(v, l, m, r);
    return ask(2 * v + 1, l, m, askl, askr) + ask(2 * v + 2, m, r, askl, askr);
}

signed main() {
    ios::sync_with_stdio(0);
    cin.tie(0);
    int n, m;
    cin >> n >> m;
    for (int i = 0; i < m; i++) {
        int type, l, r, s;
        cin >> type;
        if (type == 1) {
            cin >> l >> r >> s;
            change(0, 0, n, l, r, s);
        }
        else {
            cin >> l >> r;
            cout << ask(0, 0, n, l, r) << "\n";
        }
    }
}