#include <bits/stdc++.h>
#define int long long
using namespace std;
const int oo = 1e18 + 7;
int n, m;
int a[100005];
int st[4 * 100005], lazy[4 * 100005];
void down(int id, int l, int r) {
int t = lazy[id];
if (t && l != r) {
lazy[id * 2] += t;
lazy[id * 2 + 1] += t;
int mid = (l + r) / 2;
st[id * 2] += t * (mid - l + 1);
st[id * 2 + 1] += t * (r - mid);
lazy[id] = 0;
}
}
void upd(int id, int l, int r, int u, int v, int val) {
if (r < u || l > v) return;
if (l >= u && r <= v) {
st[id] += val * (r - l + 1);
lazy[id] += val;
return;
}
down(id, l, r);
int mid = (l + r) / 2;
upd(id * 2, l, mid, u, v, val);
upd(id * 2 + 1, mid + 1, r, u, v, val);
st[id] = st[id * 2] + st[id * 2 + 1];
}
int get(int id, int l, int r, int u, int v) {
if (l > v || r < u) return 0;
if (l >= u && r <= v) return st[id];
int mid = (l + r) / 2;
down(id, l, r);
return get(id * 2, l, mid, u, v) + get(id * 2 + 1, mid + 1, r, u, v);
}
main() {
ios_base::sync_with_stdio(false);
cin.tie(0); cout.tie(0);
freopen("TEST.inp", "r", stdin);
freopen("TEST.out", "w", stdout);
cin >> n >> m;
while (m--) {
int type;
cin >> type;
if (type == 1) {
int u, v, x;
cin >> u >> v >> x;
u++;
v++;
upd(1, 1, n, u, v - 1, x);
} else {
int l, r;
cin >> l >> r;
l++;
r++;
cout << get(1, 1, n, l, r - 1) << '\n';
}
}
return 0;
}
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