Problem: Write a program which manipulates a sequence $A$ = {$a_0, a_1, ..., a_{n-1}$} with the following operations:

* $update(s, t, x)$: change $a_s, a_{s+1}, ..., a_t$ to $x$.
* $getSum(s, t)$: print the sum of $a_s, a_{s+1}, ..., a_t$.



Note that the initial values of $a_i ( i = 0, 1, ..., n-1 )$ are 0.

Constraints

* $1 ≤ n ≤ 100000$
* $1 ≤ q ≤ 100000$
* $0 ≤ s ≤ t < n$
* $-1000 ≤ x ≤ 1000$

Input


$n$ $q$
$query_1$
$query_2$
:
$query_q$


In the first line, $n$ (the number of elements in $A$) and $q$ (the number of queries) are given. Then, $i$-th query $query_i$ is given in the following format:


0 $s$ $t$ $x$


or


1 $s$ $t$


The first digit represents the type of the query. '0' denotes $update(s, t, x)$ and '1' denotes $find(s, t)$.

Output

For each $getSum$ query, print the sum in a line.

Example

Input

6 7
0 1 3 1
0 2 4 -2
1 0 5
1 0 1
0 3 5 3
1 3 4
1 0 5


Output

-5
1
6
8

Solution (in CPP):

Solution:
#include "bits/stdc++.h"

using namespace std;
#ifdef _DEBUG
#define _GLIBCXX_DEBUG
#include "dump.hpp"
#else
#define dump(...)
#endif

#define int long long
#define ll long long
#define DBG 1
#define rep(i, a, b) for (int i = (a); i < (b); i++)
#define rrep(i, a, b) for (int i = (b)-1; i >= (a); i--)
#define loop(n) rep(loop, (0), (n))
#define all(c) begin(c), end(c)
const int INF = sizeof(int) == sizeof(long long) ? 0x3f3f3f3f3f3f3f3fLL : 0x3f3f3f3f;
const int MOD = (int)(1e9) + 7;
#define fi first
#define se second
#define pb push_back
#define eb emplace_back
using pii = pair<int, int>;
// template<class T> ostream &operator<<(ostream &os,T &t){dump(t);return os;}
template <typename T, typename S>istream &operator>>(istream &is, pair<T, S> &p) { is >> p.first >> p.second; return is; }
//template <typename T, typename S>ostream &operator<<(ostream &os, pair<T, S> &p) {os << p.first << " " << p.second;return os;}

template <typename T> void printvv(const vector<vector<T>> &v) {
	cerr << endl;
	rep(i, 0, v.size()) rep(j, 0, v[i].size()) {
		if (typeid(v[i][j]).name() == typeid(INF).name() and v[i][j] == INF) {
			cerr << "INF";
		}
		else
			cerr << v[i][j];
		cerr << (j == v[i].size() - 1 ? '\n' : ' ');
	}
	cerr << endl;
}

#ifndef _DEBUG
#define printvv(...)
#endif
void YES(bool f) { cout << (f ? "YES" : "NO") << endl; }
void Yes(bool f) { cout << (f ? "Yes" : "No") << endl; }
template <class T, class U>bool chmin(T& a, U b) { if (a > b) { a = b; return true; }return false; }
template <class T, class U>bool chmax(T& a, U b) { if (a < b) { a = b; return true; }return false; }
template< typename Monoid, typename OperatorMonoid, typename F, typename G, typename H>
struct LazySegmentTree {

	int sz, height;
	vector< Monoid > data;
	vector< OperatorMonoid > lazy;
	const F f;
	const G g;
	const H h;
	const Monoid M1;
	const OperatorMonoid OM0;


	LazySegmentTree(int n, const F f, const G g, const H h,
		const Monoid &M1, const OperatorMonoid OM0)
		: f(f), g(g), h(h), M1(M1), OM0(OM0) {
		sz = 1;
		height = 0;
		while (sz < n) sz <<= 1, height++;
		data.assign(2 * sz, M1);
		lazy.assign(2 * sz, OM0);
	}

	void set(int k, const Monoid &x) {
		data[k + sz] = x;
	}

	void build() {
		for (int k = sz - 1; k > 0; k--) {
			data[k] = f(data[2 * k + 0], data[2 * k + 1]);
		}
	}

	inline void propagate(int k) {
		if (lazy[k] != OM0) {
			lazy[2 * k + 0] = h(lazy[2 * k + 0], lazy[k]);
			lazy[2 * k + 1] = h(lazy[2 * k + 1], lazy[k]);
			data[k] = reflect(k);
			lazy[k] = OM0;
		}
	}

	inline Monoid reflect(int k) {
		return lazy[k] == OM0 ? data[k] : g(data[k], lazy[k]);
	}

	inline void recalc(int k) {
		while (k >>= 1) data[k] = f(reflect(2 * k + 0), reflect(2 * k + 1));
	}

	inline void thrust(int k) {
		for (int i = height; i > 0; i--) propagate(k >> i);
	}

	void update(int a, int b, const OperatorMonoid &x) {
		thrust(a += sz);
		thrust(b += sz - 1);
		for (int l = a, r = b + 1; l < r; l >>= 1, r >>= 1) {
			if (l & 1) lazy[l] = h(lazy[l], x), ++l;
			if (r & 1) --r, lazy[r] = h(lazy[r], x);
		}
		recalc(a);
		recalc(b);
	}

	Monoid query(int a, int b) {
		thrust(a += sz);
		thrust(b += sz - 1);
		Monoid L = M1, R = M1;
		for (int l = a, r = b + 1; l < r; l >>= 1, r >>= 1) {
			if (l & 1) L = f(L, reflect(l++));
			if (r & 1) R = f(reflect(--r), R);
		}
		return f(L, R);
	}

	Monoid operator[](const int &k) {
		return query(k, k + 1);
	}

	template< typename C >
	int find_subtree(int a, const C &check, Monoid &M, bool type) {
		while (a < sz) {
			propagate(a);
			Monoid nxt = type ? f(reflect(2 * a + type), M) : f(M, reflect(2 * a + type));
			if (check(nxt)) a = 2 * a + type;
			else M = nxt, a = 2 * a + 1 - type;
		}
		return a - sz;
	}

	template< typename C >
	int find_first(int a, const C &check) {
		Monoid L = M1;
		if (a <= 0) {
			if (check(f(L, reflect(1)))) return find_subtree(1, check, L, false);
			return -1;
		}
		thrust(a + sz);
		int b = sz;
		for (a += sz, b += sz; a < b; a >>= 1, b >>= 1) {
			if (a & 1) {
				Monoid nxt = f(L, reflect(a));
				if (check(nxt)) return find_subtree(a, check, L, false);
				L = nxt;
				++a;
			}
		}
		return -1;
	}


	template< typename C >
	int find_last(int b, const C &check) {
		Monoid R = M1;
		if (b >= sz) {
			if (check(f(reflect(1), R))) return find_subtree(1, check, R, true);
			return -1;
		}
		thrust(b + sz - 1);
		int a = sz;
		for (b += sz; a < b; a >>= 1, b >>= 1) {
			if (b & 1) {
				Monoid nxt = f(reflect(--b), R);
				if (check(nxt)) return find_subtree(b, check, R, true);
				R = nxt;
			}
		}
		return -1;
	}
};

signed main(signed argc, char *argv[]) {
	cin.tie(0);
	ios::sync_with_stdio(false);
	cout << fixed << setprecision(12);

	int N, Q; cin >> N >> Q;
	auto f = [](pii a, pii b) {return pii(a.first + b.first, a.second + b.second); };
	auto g = [](pii a, int b) {return pii(a.second*b, a.second); };
	auto h = [](int a, int b) {return b; };
	LazySegmentTree<pii, int, decltype(f), decltype(g), decltype(h)>seg(N, f, g, h, pii(0, 1), INF);
	seg.build();
	loop(Q) {
		int com; cin >> com;
		if (com) {
			int s, t; cin >> s >> t;
			cout << seg.query(s, t + 1).first << endl;
		}
		else {
			int s, t, x; cin >> s >> t >> x;
			seg.update(s, t + 1, x);
		}

	}


	return 0;
}