//#pragma GCC optimize("Ofast")
//#pragma GCC target("avx,avx2,sse,sse2,sse3,ssse3,sse4,abm,popcnt,mmx")
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef double db;
typedef long double ldb;
typedef complex<double> cd;

constexpr ll INF64 = 9'000'000'000'000'000'000, INF32 = 2'000'000'000, MOD = 1'000'000'007, LOG = 21;
constexpr db PI = acos(-1);
constexpr bool IS_FILE = false, IS_TEST_CASES = false;

random_device rd;
mt19937 rnd32(rd());
mt19937_64 rnd64(rd());

template<typename T>
bool assign_max(T& a, T b) {
	if (b > a) {
		a = b;
		return true;
	}
	return false;
}

template<typename T>
bool assign_min(T& a, T b) {
	if (b < a) {
		a = b;
		return true;
	}
	return false;
}

template<typename T>
T square(T a) {
	return a * a;
}

template<>
struct std::hash<pair<ll, ll>> {
	ll operator() (pair<ll, ll> p) const {
		return ((__int128)p.first * MOD + p.second) % INF64;
	}
};

struct segment_tree_min {
	vector<pair<ll, ll>> tree;
	vector<ll> m;
	ll size;
	segment_tree_min(ll n) {
		size = 1;
		while (size < n) {
			size *= 2;
		}
		tree.resize(size * 2, make_pair(0, 0));
		m.resize(size * 2, 0);
		for (ll i = 0; i < size; i++) {
			tree[i + size].second = i;
		}
	}
	pair<ll, ll> add(ll v, ll x) {
		tree[v].first += x;
		m[v] += x;
		return tree[v];
	}
	void push(ll v) {
		add(v * 2, m[v]);
		add(v * 2 + 1, m[v]);
		m[v] = 0;
	}
	void add(ll l, ll r, ll x) {
		add(1, 0, size, l, r, x);
	}
	pair<ll, ll> add(ll v, ll l, ll r, ll ql, ll qr, ll x) {
		if (ql <= l && r <= qr) {
			return add(v, x);
		}
		if (qr <= l || r <= ql) {
			return tree[v];
		}
		push(v);
		ll mid = (l + r) / 2;
		return tree[v] = min(add(v * 2, l, mid, ql, qr, x), add(v * 2 + 1, mid, r, ql, qr, x));
	}
	pair<ll, ll> get(ll l, ll r) {
		return get(1, 0, size, l, r);
	}
	pair<ll, ll> get(ll v, ll l, ll r, ll ql, ll qr) {
		if (ql <= l && r <= qr) {
			return tree[v];
		}
		if (qr <= l || r <= ql) {
			return make_pair(INF64, 0);
		}
		push(v);
		ll mid = (l + r) / 2;
		return min(get(v * 2, l, mid, ql, qr), get(v * 2 + 1, mid, r, ql, qr));
	}
};

struct segment_tree_max {
	vector<pair<ll, ll>> tree;
	vector<ll> m;
	ll size;
	segment_tree_max(ll n) {
		size = 1;
		while (size < n) {
			size *= 2;
		}
		tree.resize(size * 2, make_pair(0, 0));
		m.resize(size * 2, 0);
		for (ll i = 0; i < size; i++) {
			tree[i + size].second = i;
		}
	}
	pair<ll, ll> add(ll v, ll x) {
		tree[v].first += x;
		m[v] += x;
		return tree[v];
	}
	void push(ll v) {
		add(v * 2, m[v]);
		add(v * 2 + 1, m[v]);
		m[v] = 0;
	}
	void add(ll l, ll r, ll x) {
		add(1, 0, size, l, r, x);
	}
	pair<ll, ll> add(ll v, ll l, ll r, ll ql, ll qr, ll x) {
		if (ql <= l && r <= qr) {
			return add(v, x);
		}
		if (qr <= l || r <= ql) {
			return tree[v];
		}
		push(v);
		ll mid = (l + r) / 2;
		return tree[v] = max(add(v * 2, l, mid, ql, qr, x), add(v * 2 + 1, mid, r, ql, qr, x));
	}
	pair<ll, ll> get(ll l, ll r) {
		return get(1, 0, size, l, r);
	}
	pair<ll, ll> get(ll v, ll l, ll r, ll ql, ll qr) {
		if (ql <= l && r <= qr) {
			return tree[v];
		}
		if (qr <= l || r <= ql) {
			return make_pair(-INF64, 0);
		}
		push(v);
		ll mid = (l + r) / 2;
		return max(get(v * 2, l, mid, ql, qr), get(v * 2 + 1, mid, r, ql, qr));
	}
};

void solve() {
	ll n, q;
	cin >> n >> q;
	vector<ll> arr(n);
	vector<ll> ps(1, 0);
	for (ll i = 0; i < n; i++) {
		cin >> arr[i];
	}
	reverse(arr.begin(), arr.end());
	for (ll i = 0; i < n; i++) {
		ps.push_back(ps.back() + arr[i]);
	}
	segment_tree_min stmi(n);
	segment_tree_max stma(n);
	vector<pair<ll, ll>> jmi(n), jma(n);
	vector<vector<ll>> pbinup(n + 1, vector<ll>(LOG, n));
	vector<vector<ll>> pbinupc(n + 1, vector<ll>(LOG, INF64));
	vector<vector<ll>> pbinupminp(n + 1, vector<ll>(LOG, INF64));
	vector<vector<ll>> pbinupmaxp(n + 1, vector<ll>(LOG, -INF64));
	vector<vector<ll>> mbinup(n + 1, vector<ll>(LOG, n));
	vector<vector<ll>> mbinupc(n + 1, vector<ll>(LOG, INF64));
	vector<vector<ll>> mbinupminp(n + 1, vector<ll>(LOG, INF64));
	vector<vector<ll>> mbinupmaxp(n + 1, vector<ll>(LOG, -INF64));
	for (ll i = n - 1; i >= 0; i--) {
		stmi.add(i, n, arr[i]);
		stma.add(i, n, arr[i]);
		jmi[i] = stmi.get(i, n);
		jma[i] = stma.get(i, n);
		jmi[i].second++;
		jma[i].second++;
		pbinup[i][0] = jma[i].second;
		pbinupc[i][0] = jma[i].first;
		pbinupminp[i][0] = ps[i];
		pbinupmaxp[i][0] = ps[pbinup[i][0]];
		mbinup[i][0] = jmi[i].second;
		mbinupc[i][0] = -jmi[i].first;
		mbinupmaxp[i][0] = ps[i];
		mbinupminp[i][0] = ps[mbinup[i][0]];
		{
			ll j = 1;
			pbinup[i][j] = mbinup[pbinup[i][j - 1]][j - 1];
			pbinupc[i][j] = min(mbinupc[pbinup[i][j - 1]][j - 1], pbinupc[i][j - 1]);
			pbinupminp[i][j] = min(mbinupminp[pbinup[i][j - 1]][j - 1], pbinupminp[i][j - 1]);
			pbinupmaxp[i][j] = max(mbinupmaxp[pbinup[i][j - 1]][j - 1], pbinupmaxp[i][j - 1]);
			mbinup[i][j] = pbinup[mbinup[i][j - 1]][j - 1];
			mbinupc[i][j] = min(pbinupc[mbinup[i][j - 1]][j - 1], mbinupc[i][j - 1]);
			mbinupminp[i][j] = min(pbinupminp[mbinup[i][j - 1]][j - 1], mbinupminp[i][j - 1]);
			mbinupmaxp[i][j] = max(pbinupmaxp[mbinup[i][j - 1]][j - 1], mbinupmaxp[i][j - 1]);
		}
		for (ll j = 2; j < LOG; j++) {
			pbinup[i][j] = pbinup[pbinup[i][j - 1]][j - 1];
			pbinupc[i][j] = min(pbinupc[pbinup[i][j - 1]][j - 1], pbinupc[i][j - 1]);
			pbinupminp[i][j] = min(pbinupminp[pbinup[i][j - 1]][j - 1], pbinupminp[i][j - 1]);
			pbinupmaxp[i][j] = max(pbinupmaxp[pbinup[i][j - 1]][j - 1], pbinupmaxp[i][j - 1]);
			mbinup[i][j] = mbinup[mbinup[i][j - 1]][j - 1];
			mbinupc[i][j] = min(mbinupc[mbinup[i][j - 1]][j - 1], mbinupc[i][j - 1]);
			mbinupminp[i][j] = min(mbinupminp[mbinup[i][j - 1]][j - 1], mbinupminp[i][j - 1]);
			mbinupmaxp[i][j] = max(mbinupmaxp[mbinup[i][j - 1]][j - 1], mbinupmaxp[i][j - 1]);
		}
	}
	for (ll i = 0; i < q; i++) {
		ll t, l, r;
		cin >> t >> l >> r;
		if (t == 1) {
			r = n - r;
			l = n - l;
			l++;
			swap(l, r);
			ll nl = 0, nr = INF64;
			while (nr - nl > 1) {
				ll mid = (nl + nr) / 2;
				ll vm = l, vp = l;
				ll mminp = ps[l], mmaxp = ps[l];
				ll pminp = ps[l], pmaxp = ps[l];
				for (ll j = LOG - 1; j >= 0; j--) {
					if (mbinup[vm][j] < r && mbinupc[vm][j] >= mid) {
						assign_min(mminp, mbinupminp[vm][j]);
						assign_max(mmaxp, mbinupmaxp[vm][j]);
						vm = mbinup[vm][j];
					}
					if (pbinup[vp][j] < r && pbinupc[vp][j] >= mid) {
						assign_min(pminp, pbinupminp[vp][j]);
						assign_max(pmaxp, pbinupmaxp[vp][j]);
						vp = pbinup[vp][j];
					}
				}
				if (max(max(ps[r] - mminp, mmaxp - ps[r]), max(ps[r] - pminp, pmaxp - ps[r])) >= mid) {
					nl = mid;
				} else {
					nr = mid;
				}
			}
			cout << nl << '\n';
		} else {
			exit(1);
		}
	}
}

int main() {
	if (IS_FILE) {
		freopen("", "r", stdin);
		freopen("", "w", stdout);
	}
    	ios_base::sync_with_stdio(false);
    	cin.tie(0);
    	cout.tie(0);
	ll t = 1;
	if (IS_TEST_CASES) {
		cin >> t;
	}
	for (ll i = 0; i < t; i++) {
		solve();
	}
}