#include <iostream>
#include <vector>
#include <unordered_set>
#include <algorithm>
using namespace std;
const int MAXN = 100005;
int n, q;
int a[MAXN];
struct SegmentTree {
int l, r;
unordered_set<int> elements;
int minElement, maxElement;
SegmentTree *left, *right;
SegmentTree(int l, int r) : l(l), r(r), minElement(0), maxElement(0), left(nullptr), right(nullptr) {}
void update(int value) {
elements.insert(value);
if (value < minElement || minElement == 0) minElement = value;
if (value > maxElement) maxElement = value;
}
void query(int l, int r, int &bestX, int &bestY, int &bestSize) {
if (this->l > r || this->r < l) return;
if (this->l >= l && this->r <= r) {
if (bestSize > maxElement - minElement + 1) {
bestX = minElement;
bestY = maxElement;
bestSize = maxElement - minElement + 1;
}
return;
}
if (left) left->query(l, r, bestX, bestY, bestSize);
if (right) right->query(l, r, bestX, bestY, bestSize);
}
void build(int start, int end, vector<int> &values) {
if (start == end) {
update(values[start]);
} else {
int mid = (start + end) / 2;
left = new SegmentTree(start, mid);
right = new SegmentTree(mid + 1, end);
for (int i = start; i <= mid; i++) left->update(values[i]);
for (int i = mid + 1; i <= end; i++) right->update(values[i]);
}
}
};
int main() {
cin >> n >> q;
for (int i = 1; i <= n; i++) {
cin >> a[i];
}
SegmentTree *tree = new SegmentTree(1, n);
tree->build(1, n, a);
while (q--) {
int l, r;
cin >> l >> r;
int bestX = 0, bestY = 0, bestSize = INT_MAX;
tree->query(l, r, bestX, bestY, bestSize);
cout << bestY - bestX + 1 << endl;
}
return 0;
}