#include <bits/stdc++.h>
#define _GLIBCXX_DEBUG
using namespace std;
using ll = long long;
using vec = vector<ll>;
using vect = vector<double>;
using Graph = vector<vector<ll>>;
#define loop(i, n) for (ll i = 0; i < n; i++)
#define Loop(i, m, n) for (ll i = m; i < n; i++)
#define pool(i, n) for (ll i = n; i >= 0; i--)
#define Pool(i, m, n) for (ll i = n; i >= m; i--)
#define mod 1000000007ll
#define setbit bitset<8>
#define flagcount __builtin_popcount
#define flag(x) (1 << x)
#define flagadd(bit, x) bit |= flag(x)
#define flagpop(bit, x) bit &= ~flag(x)
#define flagon(bit, i) bit &flag(i)
#define flagoff(bit, i) !(bit & (1 << i))
#define all(v) v.begin(), v.end()
#define low2way(v, x) lower_bound(all(v), x)
#define high2way(v, x) upper_bound(all(v), x)
#define count2way(v, x) high2way(v, x) - low2way(v, x)
#define lower(v, x) low2way(v, x) - v.begin()       //1番左が0、もし見つから無いならｎを出力
#define higher(v, x) high2way(v, x) - v.begin() - 1 //1番左が0、もし見つからないならn-1を出力（注意）
#define putout(a) cout << a << endl
#define putout2(a, b) \
    putout(a);        \
    putout(b)
#define putout3(a, b, c) \
    putout(a);           \
    putout(b);           \
    putout(c)
#define putout4(a, b, c, d) \
    putout(a);              \
    putout(b);              \
    putout(c);              \
    putout(d)
#define putout5(a, b, c, d, e) \
    putout(a);                 \
    putout(b);                 \
    putout(c);                 \
    putout(d);                 \
    putout(e)
#define Gput(a, b) G[a].push_back(b)
#define cin1(a) cin >> a
#define cin2(a, b) cin >> a >> b
#define cin3(a, b, c) cin >> a >> b >> c
#define cin4(a, b, c, d) cin >> a >> b >> c >> d
#define cin5(a, b, c, d, e) cin >> a >> b >> c >> d >> e
#define sum(v) accumulate(all(v), 0ll)
#define gcd(x, y) __gcd(x, y)
ll ctoi(char c)
{
    if (c >= '0' && c <= '9')
    {
        return c - '0';
    }
    return 0;
}
template <typename T>
T lcm(T x, T y)
{
    T z = gcd(x, y);
    return x * y / z;
}
template <typename T>
bool primejudge(T n)
{
    if (n < 2)
        return false;
    else if (n == 2)
        return true;
    else if (n % 2 == 0)
        return false;
    double sqrtn = sqrt(n);
    for (T i = 3; i < sqrtn + 1; i++)
    {
        if (n % i == 0)
        {
            return false;
        }
        i++;
    }
    return true;
}
template <typename T>
T modinv(T a, T m)
{
    T b = m, u = 1, v = 0;
    while (b)
    {
        T t = a / b;
        a -= t * b;
        swap(a, b);
        u -= t * v;
        swap(u, v);
    }
    u %= m;
    if (u < 0)
        u += m;
    return u;
}
//場合によって使い分ける
//const ll dx[4]={1,0,-1,0};
//const ll dy[4]={0,1,0,-1};
const ll dx[8] = {1, 1, 0, -1, -1, -1, 0, 1};
const ll dy[8] = {0, 1, 1, 1, 0, -1, -1, -1};
//多次元配列の宣言法
//vector<vector<ll>> field(h, vector<ll>(w));
template <class T>
inline void chmax(T &a, T b)
{
    if (a < b)
        a = b;
}
template <class T>
inline void chmin(T &a, T b)
{
    if (a > b)
        a = b;
}
/*
ライブラリをここに置いてコメントを削除
*/
#define N 100003
class segment_tree
{
    const ll inf = 1e18;
    int n, n0;
    ll max_v[4 * N], smax_v[4 * N], max_c[4 * N];
    ll min_v[4 * N], smin_v[4 * N], min_c[4 * N];
    ll sum[4 * N];
    ll len[4 * N], ladd[4 * N], lval[4 * N];

    void update_node_max(int k, ll x)
    {
        sum[k] += (x - max_v[k]) * max_c[k];

        if (max_v[k] == min_v[k])
        {
            max_v[k] = min_v[k] = x;
        }
        else if (max_v[k] == smin_v[k])
        {
            max_v[k] = smin_v[k] = x;
        }
        else
        {
            max_v[k] = x;
        }

        if (lval[k] != inf && x < lval[k])
        {
            lval[k] = x;
        }
    }
    void update_node_min(int k, ll x)
    {
        sum[k] += (x - min_v[k]) * min_c[k];

        if (max_v[k] == min_v[k])
        {
            max_v[k] = min_v[k] = x;
        }
        else if (smax_v[k] == min_v[k])
        {
            min_v[k] = smax_v[k] = x;
        }
        else
        {
            min_v[k] = x;
        }

        if (lval[k] != inf && lval[k] < x)
        {
            lval[k] = x;
        }
    }

    void push(int k)
    {

        if (n0 - 1 <= k)
            return;

        if (lval[k] != inf)
        {
            updateall(2 * k + 1, lval[k]);
            updateall(2 * k + 2, lval[k]);
            lval[k] = inf;
            return;
        }

        if (ladd[k] != 0)
        {
            addall(2 * k + 1, ladd[k]);
            addall(2 * k + 2, ladd[k]);
            ladd[k] = 0;
        }

        if (max_v[k] < max_v[2 * k + 1])
        {
            update_node_max(2 * k + 1, max_v[k]);
        }
        if (min_v[2 * k + 1] < min_v[k])
        {
            update_node_min(2 * k + 1, min_v[k]);
        }

        if (max_v[k] < max_v[2 * k + 2])
        {
            update_node_max(2 * k + 2, max_v[k]);
        }
        if (min_v[2 * k + 2] < min_v[k])
        {
            update_node_min(2 * k + 2, min_v[k]);
        }
    }

    void update(int k)
    {
        sum[k] = sum[2 * k + 1] + sum[2 * k + 2];

        if (max_v[2 * k + 1] < max_v[2 * k + 2])
        {
            max_v[k] = max_v[2 * k + 2];
            max_c[k] = max_c[2 * k + 2];
            smax_v[k] = max(max_v[2 * k + 1], smax_v[2 * k + 2]);
        }
        else if (max_v[2 * k + 1] > max_v[2 * k + 2])
        {
            max_v[k] = max_v[2 * k + 1];
            max_c[k] = max_c[2 * k + 1];
            smax_v[k] = max(smax_v[2 * k + 1], max_v[2 * k + 2]);
        }
        else
        {
            max_v[k] = max_v[2 * k + 1];
            max_c[k] = max_c[2 * k + 1] + max_c[2 * k + 2];
            smax_v[k] = max(smax_v[2 * k + 1], smax_v[2 * k + 2]);
        }

        if (min_v[2 * k + 1] < min_v[2 * k + 2])
        {
            min_v[k] = min_v[2 * k + 1];
            min_c[k] = min_c[2 * k + 1];
            smin_v[k] = min(smin_v[2 * k + 1], min_v[2 * k + 2]);
        }
        else if (min_v[2 * k + 1] > min_v[2 * k + 2])
        {
            min_v[k] = min_v[2 * k + 2];
            min_c[k] = min_c[2 * k + 2];
            smin_v[k] = min(min_v[2 * k + 1], smin_v[2 * k + 2]);
        }
        else
        {
            min_v[k] = min_v[2 * k + 1];
            min_c[k] = min_c[2 * k + 1] + min_c[2 * k + 2];
            smin_v[k] = min(smin_v[2 * k + 1], smin_v[2 * k + 2]);
        }
    }

    void _update_min(ll x, int a, int b, int k, int l, int r)
    {
        if (b <= l || r <= a || max_v[k] <= x)
        {
            return;
        }
        if (a <= l && r <= b && smax_v[k] < x)
        {
            update_node_max(k, x);
            return;
        }

        push(k);
        _update_min(x, a, b, 2 * k + 1, l, (l + r) / 2);
        _update_min(x, a, b, 2 * k + 2, (l + r) / 2, r);
        update(k);
    }

    void _update_max(ll x, int a, int b, int k, int l, int r)
    {
        if (b <= l || r <= a || x <= min_v[k])
        {
            return;
        }
        if (a <= l && r <= b && x < smin_v[k])
        {
            update_node_min(k, x);
            return;
        }

        push(k);
        _update_max(x, a, b, 2 * k + 1, l, (l + r) / 2);
        _update_max(x, a, b, 2 * k + 2, (l + r) / 2, r);
        update(k);
    }

    void addall(int k, ll x)
    {
        max_v[k] += x;
        if (smax_v[k] != -inf)
            smax_v[k] += x;
        min_v[k] += x;
        if (smin_v[k] != inf)
            smin_v[k] += x;

        sum[k] += len[k] * x;
        if (lval[k] != inf)
        {
            lval[k] += x;
        }
        else
        {
            ladd[k] += x;
        }
    }

    void updateall(int k, ll x)
    {
        max_v[k] = x;
        smax_v[k] = -inf;
        min_v[k] = x;
        smin_v[k] = inf;
        max_c[k] = min_c[k] = len[k];

        sum[k] = x * len[k];
        lval[k] = x;
        ladd[k] = 0;
    }

    void _add_val(ll x, int a, int b, int k, int l, int r)
    {
        if (b <= l || r <= a)
        {
            return;
        }
        if (a <= l && r <= b)
        {
            addall(k, x);
            return;
        }

        push(k);
        _add_val(x, a, b, 2 * k + 1, l, (l + r) / 2);
        _add_val(x, a, b, 2 * k + 2, (l + r) / 2, r);
        update(k);
    }

    void _update_val(ll x, int a, int b, int k, int l, int r)
    {
        if (b <= l || r <= a)
        {
            return;
        }
        if (a <= l && r <= b)
        {
            updateall(k, x);
            return;
        }

        push(k);
        _update_val(x, a, b, 2 * k + 1, l, (l + r) / 2);
        _update_val(x, a, b, 2 * k + 2, (l + r) / 2, r);
        update(k);
    }

    ll _query_max(int a, int b, int k, int l, int r)
    {
        if (b <= l || r <= a)
        {
            return -inf;
        }
        if (a <= l && r <= b)
        {
            return max_v[k];
        }
        push(k);
        ll lv = _query_max(a, b, 2 * k + 1, l, (l + r) / 2);
        ll rv = _query_max(a, b, 2 * k + 2, (l + r) / 2, r);
        return max(lv, rv);
    }

    ll _query_min(int a, int b, int k, int l, int r)
    {
        if (b <= l || r <= a)
        {
            return inf;
        }
        if (a <= l && r <= b)
        {
            return min_v[k];
        }
        push(k);
        ll lv = _query_min(a, b, 2 * k + 1, l, (l + r) / 2);
        ll rv = _query_min(a, b, 2 * k + 2, (l + r) / 2, r);
        return min(lv, rv);
    }

    ll _query_sum(int a, int b, int k, int l, int r)
    {
        if (b <= l || r <= a)
        {
            return 0;
        }
        if (a <= l && r <= b)
        {
            return sum[k];
        }
        push(k);
        ll lv = _query_sum(a, b, 2 * k + 1, l, (l + r) / 2);
        ll rv = _query_sum(a, b, 2 * k + 2, (l + r) / 2, r);
        return lv + rv;
    }

public:
    segment_tree(int n)
    {
        segment_tree(n, nullptr);
    }

    segment_tree(int n, ll *a) : n(n)
    {
        n0 = 1;
        while (n0 < n)
            n0 <<= 1;

        for (int i = 0; i < 2 * n0; ++i)
            ladd[i] = 0, lval[i] = inf;
        len[0] = n0;
        for (int i = 0; i < n0 - 1; ++i)
            len[2 * i + 1] = len[2 * i + 2] = (len[i] >> 1);

        for (int i = 0; i < n; ++i)
        {
            max_v[n0 - 1 + i] = min_v[n0 - 1 + i] = sum[n0 - 1 + i] = (a != nullptr ? a[i] : 0);
            smax_v[n0 - 1 + i] = -inf;
            smin_v[n0 - 1 + i] = inf;
            max_c[n0 - 1 + i] = min_c[n0 - 1 + i] = 1;
        }

        for (int i = n; i < n0; ++i)
        {
            max_v[n0 - 1 + i] = smax_v[n0 - 1 + i] = -inf;
            min_v[n0 - 1 + i] = smin_v[n0 - 1 + i] = inf;
            max_c[n0 - 1 + i] = min_c[n0 - 1 + i] = 0;
        }
        for (int i = n0 - 2; i >= 0; i--)
        {
            update(i);
        }
    }

    // range minimize query
    void update_min(int a, int b, ll x)
    {
        _update_min(x, a, b, 0, 0, n0);
    }

    // range maximize query
    void update_max(int a, int b, ll x)
    {
        _update_max(x, a, b, 0, 0, n0);
    }

    // range add query
    void add_val(int a, int b, ll x)
    {
        _add_val(x, a, b, 0, 0, n0);
    }

    // range update query
    void update_val(int a, int b, ll x)
    {
        _update_val(x, a, b, 0, 0, n0);
    }

    // range minimum query
    ll query_max(int a, int b)
    {
        return _query_max(a, b, 0, 0, n0);
    }

    // range maximum query
    ll query_min(int a, int b)
    {
        return _query_min(a, b, 0, 0, n0);
    }

    // range sum query
    ll query_sum(int a, int b)
    {
        return _query_sum(a, b, 0, 0, n0);
    }
};
/*
・segment_tree tree(n,a):配列aを持つセグ木を宣言
・tree.update_min(a,b,x):区間[a,b)のv[i]をmin(v[i],x)に更新
・tree.update_max(a,b,x):区間[a,b)のv[i]をmax(v[i],x)に更新
・tree.add_val(a,b,x):区間[a,b)のv[i]にxを加算
・tree.update_val(a,b,x):区間[a,b)のv[i]をxに更新
・tree.query_max(a,b):区間[a,b)の最大値を返す
・tree.query_min(a,b):区間[a,b)の最小値を返す
・tree.query_sum(a,b):区間[a,b)の総和を返す
*/
/*
代入例
ll a[N];
loop(i,N)a[i]=2147483647;
*/
int main()
{
    cout << fixed << setprecision(30);
    ll n, q;
    cin >> n >> q;
    ll a[N];
    loop(i, N) a[i] = 0;
    segment_tree tree(n, a);
    loop(i, q)
    {
        ll com, s, t;
        cin >> com >> s >> t;
        if (com == 0)
        {
            ll x;
            cin >> x;
            tree.add_val(s, t + 1, x);
        }
        else
        {
            putout(tree.query_min(s, t + 1));
        }
    }
    return 0;
}


Measured memory_bytes: 24228