/*
* @Author: hungeazy
* @Date: 2025-07-04 21:15:45
* @Last Modified by: hungeazy
* @Last Modified time: 2025-07-04 21:35:55
*/
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
// #pragma GCC optimize("O3")
// #pragma GCC optimize("unroll-loops")
// #pragma GCC target("avx2,bmi,bmi2,popcnt,lzcnt")
using namespace std;
using namespace __gnu_pbds;
bool M1;
#define fast ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);
#define int long long
#define ll long long
#define ull unsigned long long
#define sz(x) x.size()
#define sqr(x) (1LL * (x) * (x))
#define all(x) x.begin(), x.end()
#define fill(f,x) memset(f,x,sizeof(f))
#define FOR(i,l,r) for(int i=l;i<=r;i++)
#define FOD(i,r,l) for(int i=r;i>=l;i--)
#define debug(x) cout << #x << " = " << x << '\n'
#define ii pair<int,int>
#define iii pair<int,ii>
#define di pair<ii,ii>
#define vi vector<int>
#define vii vector<ii>
#define mii map<int,int>
#define fi first
#define se second
#define pb push_back
#define MOD 1000000007
#define __lcm(a,b) (1ll * ((a) / __gcd((a), (b))) * (b))
#define YES cout << "YES\n"
#define NO cout << "NO\n"
#define MASK(i) (1LL << (i))
#define c_bit(i) __builtin_popcountll(i)
#define BIT(x,i) ((x) & MASK(i))
#define SET_ON(x,i) ((x) | MASK(i))
#define SET_OFF(x,i) ((x) & ~MASK(i))
#define oo 1e18
#define name "MIND"
#define endl '\n'
#define memory() cerr << abs(&M2-&M1)/1024.0/1024 << " MB" << endl
#define time() cerr << endl << "-------------Time:" << 1000.0 * clock() / CLOCKS_PER_SEC << "ms." << endl
template<typename T> bool maximize(T &res, const T &val) { if (res < val){ res = val; return true; }; return false; }
template<typename T> bool minimize(T &res, const T &val) { if (res > val){ res = val; return true; }; return false; }
template <class T> using ordered_set = tree <T, null_type, less_equal <T>, rb_tree_tag,tree_order_statistics_node_update>;
const int N = (int)1e5+10;
int n,q,a[N];
struct Query {
int l,r,id;
} query[N];
// Bai 4 - DTQG Ha Tinh 2024 - 756F
namespace sub1 {
bool approved()
{
return n <= 100 and q <= 100;
}
void solve(void)
{
FOR(i,1,q)
{
int l = query[i].l, r = query[i].r, ans = oo;
FOR(j,l,r-1)
FOR(k,j+1,r)
minimize(ans,abs(a[j]-a[k]));
cout << ans << endl;
}
}
}
namespace sub4 {
vii Q[N];
int mn,res[N];
struct SegmentTree {
vi st[N<<2];
int ans[N<<2];
void build(int id, int l, int r)
{
FOR(i,l,r) st[id].pb(a[i]);
sort(all(st[id]));
ans[id] = oo;
if (l == r) return;
int mid = (l+r)>>1;
build(id<<1,l,mid);
build(id<<1|1,mid+1,r);
}
void update(int id, int l, int r, int pos, int val)
{
if (r <= pos)
{
auto it = upper_bound(all(st[id]),val);
if (it != st[id].end()) minimize(ans[id],*it-val);
if (it != st[id].begin()) minimize(ans[id],val-*prev(it));
if (ans[id] >= mn) return;
if (l == r)
{
minimize(mn,ans[id]);
return;
}
}
int mid = (l+r)>>1;
if (pos > mid) update(id<<1|1,mid+1,r,pos,val);
update(id<<1,l,mid,pos,val);
minimize(ans[id],min(ans[id<<1],ans[id<<1|1]));
minimize(mn,ans[id]);
}
int get(int id, int l, int r, int u, int v)
{
if (l > v or r < u) return oo;
if (l >= u and r <= v) return ans[id];
int mid = (l+r)>>1;
return min(get(id<<1,l,mid,u,v),get(id<<1|1,mid+1,r,u,v));
}
} IT;
void solve(void)
{
IT.build(1,1,n);
FOR(i,1,q)
{
int l = query[i].l, r = query[i].r, id = query[i].id;
Q[r].pb({l,id});
}
FOR(i,2,n)
{
mn = oo;
IT.update(1,1,n,i-1,a[i]);
for (auto [l,id] : Q[i])
res[id] = IT.get(1,1,n,l,i);
}
FOR(i,1,q) cout << res[i] << endl;
}
}
bool M2;
signed main()
{
fast;
if (fopen(name".inp","r"))
{
freopen(name".inp","r",stdin);
freopen(name".out","w",stdout);
}
cin >> n >> q;
FOR(i,1,n) cin >> a[i];
FOR(i,1,q)
{
cin >> query[i].l >> query[i].r;
query[i].id = i;
}
if (sub1::approved()) return sub1::solve(), time(), memory(), 0;
sub4::solve();
time();
memory();
return 0;
}
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